TSTP Solution File: GRP239-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP239-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:21:51 EDT 2024
% Result : Unsatisfiable 20.52s 3.73s
% Output : CNFRefutation 20.52s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( inverse(sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( inverse(sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( inverse(sk_c9) = sk_c8
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_87,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
cnf(c_88,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
cnf(c_89,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_91,negated_conjecture,
( multiply(X0,X1) != sk_c8
| multiply(X1,sk_c9) != sk_c8
| multiply(X2,sk_c8) != sk_c9
| multiply(X3,sk_c9) != X4
| multiply(X5,sk_c8) != sk_c9
| multiply(X6,sk_c8) != sk_c9
| multiply(sk_c9,X4) != sk_c8
| inverse(X0) != X1
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| inverse(X5) != sk_c9
| inverse(X6) != sk_c8
| inverse(sk_c9) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_93,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_94,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_95,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| multiply(X1,inverse(X1)) != sk_c8
| multiply(inverse(X1),sk_c9) != sk_c8
| multiply(X2,sk_c8) != sk_c9
| multiply(X3,sk_c8) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| inverse(X4) != sk_c8
| inverse(sk_c9) != sk_c8 ),
inference(unflattening,[status(thm)],[c_91]) ).
cnf(c_488,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_95]) ).
cnf(c_489,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c9) != sk_c8
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_95]) ).
cnf(c_490,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_95]) ).
cnf(c_491,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_95]) ).
cnf(c_492,negated_conjecture,
( inverse(sk_c9) != sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_95]) ).
cnf(c_493,plain,
inverse(sk_c9) = sP4_iProver_def,
definition ).
cnf(c_495,plain,
inverse(sk_c2) = sP6_iProver_def,
definition ).
cnf(c_496,plain,
inverse(sk_c6) = sP7_iProver_def,
definition ).
cnf(c_497,plain,
multiply(sk_c6,sk_c7) = sP8_iProver_def,
definition ).
cnf(c_498,plain,
inverse(sk_c5) = sP9_iProver_def,
definition ).
cnf(c_499,plain,
multiply(sk_c5,sk_c8) = sP10_iProver_def,
definition ).
cnf(c_500,plain,
multiply(sk_c4,sk_c8) = sP11_iProver_def,
definition ).
cnf(c_501,plain,
inverse(sk_c4) = sP12_iProver_def,
definition ).
cnf(c_502,plain,
multiply(sk_c2,sk_c9) = sP13_iProver_def,
definition ).
cnf(c_503,plain,
multiply(sk_c9,sk_c3) = sP14_iProver_def,
definition ).
cnf(c_504,plain,
multiply(sk_c1,sk_c8) = sP15_iProver_def,
definition ).
cnf(c_505,plain,
inverse(sk_c1) = sP16_iProver_def,
definition ).
cnf(c_506,negated_conjecture,
( sP4_iProver_def != sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_492,c_493]) ).
cnf(c_507,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_491]) ).
cnf(c_508,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_490]) ).
cnf(c_509,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c9) != sk_c8
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_489]) ).
cnf(c_511,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_488]) ).
cnf(c_513,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP7_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_89,c_496]) ).
cnf(c_514,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP8_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_88,c_497]) ).
cnf(c_515,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_87,c_498]) ).
cnf(c_516,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP10_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_86,c_499]) ).
cnf(c_517,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP11_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_85,c_500]) ).
cnf(c_518,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP12_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_84,c_501]) ).
cnf(c_522,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP13_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_80]) ).
cnf(c_523,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP13_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_79]) ).
cnf(c_524,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP13_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_78]) ).
cnf(c_525,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP13_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_77]) ).
cnf(c_529,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_530,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_531,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_532,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_536,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP15_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_537,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP15_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_538,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP15_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_539,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP15_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_543,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_544,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_545,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_546,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_547,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP5_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_548,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP7_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_549,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP8_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_550,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_551,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP10_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_552,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP11_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_553,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP12_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_554,plain,
X0 = X0,
theory(equality) ).
cnf(c_555,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_851,plain,
( sk_c9 = sP6_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_516,c_517]) ).
cnf(c_861,plain,
( sk_c9 = sP6_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_518,c_517]) ).
cnf(c_862,plain,
( sk_c9 = sP6_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_518,c_516]) ).
cnf(c_972,plain,
( multiply(sk_c2,sP12_iProver_def) = sP13_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_518,c_502]) ).
cnf(c_984,plain,
( multiply(sk_c9,sP13_iProver_def) = sP14_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_525,c_503]) ).
cnf(c_987,plain,
( multiply(sk_c9,sP13_iProver_def) = sP14_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_522,c_503]) ).
cnf(c_1023,plain,
multiply(sP4_iProver_def,sk_c9) = identity,
inference(superposition,[status(thm)],[c_493,c_93]) ).
cnf(c_1024,plain,
multiply(sP12_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_501,c_93]) ).
cnf(c_1025,plain,
multiply(sP9_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_498,c_93]) ).
cnf(c_1026,plain,
multiply(sP7_iProver_def,sk_c6) = identity,
inference(superposition,[status(thm)],[c_496,c_93]) ).
cnf(c_1027,plain,
multiply(sP16_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_505,c_93]) ).
cnf(c_1028,plain,
multiply(sP6_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_495,c_93]) ).
cnf(c_1066,plain,
( sk_c8 != X0
| sP4_iProver_def != X0
| sP4_iProver_def = sk_c8 ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_1069,plain,
( X0 != X1
| sk_c8 != X1
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_1070,plain,
( X0 != sk_c8
| sk_c8 != sk_c8
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_1069]) ).
cnf(c_1071,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_554]) ).
cnf(c_1072,plain,
( sk_c9 != sk_c8
| sk_c8 != sk_c8
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1070]) ).
cnf(c_1111,plain,
( sk_c8 != sk_c8
| sP9_iProver_def != sk_c8
| sk_c8 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_1070]) ).
cnf(c_1120,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_530,c_504]) ).
cnf(c_1151,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_531,c_504]) ).
cnf(c_1185,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_532,c_504]) ).
cnf(c_1388,plain,
( multiply(sk_c1,sP9_iProver_def) = sP15_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_536,c_504]) ).
cnf(c_1445,plain,
( multiply(sk_c2,sP15_iProver_def) = sP13_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_537,c_502]) ).
cnf(c_1496,plain,
( multiply(sk_c2,sP15_iProver_def) = sP13_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_538,c_502]) ).
cnf(c_1540,plain,
( multiply(sP4_iProver_def,sP15_iProver_def) = identity
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_539,c_1023]) ).
cnf(c_1541,plain,
( multiply(sP15_iProver_def,sk_c3) = sP14_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_539,c_503]) ).
cnf(c_1542,plain,
( multiply(sk_c2,sP15_iProver_def) = sP13_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_539,c_502]) ).
cnf(c_1752,plain,
( X0 != X1
| sP4_iProver_def != X1
| sP4_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_1842,plain,
( sk_c9 = sP10_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_544,c_537]) ).
cnf(c_1912,plain,
( sk_c9 = sP11_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_545,c_538]) ).
cnf(c_1916,plain,
( multiply(sk_c2,sP16_iProver_def) = sP13_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_545,c_502]) ).
cnf(c_1995,plain,
( sk_c9 = sP12_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_546,c_539]) ).
cnf(c_2000,plain,
( multiply(sk_c2,sP16_iProver_def) = sP13_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_546,c_502]) ).
cnf(c_2086,plain,
( multiply(sk_c1,sP5_iProver_def) = sP15_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_547,c_504]) ).
cnf(c_2190,plain,
( multiply(sk_c6,sP7_iProver_def) = sP8_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_548,c_497]) ).
cnf(c_2243,plain,
( multiply(sk_c1,sP8_iProver_def) = sP15_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_549,c_504]) ).
cnf(c_2337,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_550,c_499]) ).
cnf(c_2458,plain,
( sk_c9 = sP10_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_551,c_530]) ).
cnf(c_2459,plain,
( sk_c9 = sP10_iProver_def
| sk_c8 = sP9_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_551,c_529]) ).
cnf(c_2611,plain,
( sk_c9 = sP11_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_552,c_531]) ).
cnf(c_2749,plain,
( sk_c9 = sP12_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_553,c_532]) ).
cnf(c_2754,plain,
( multiply(sk_c1,sP4_iProver_def) = sP15_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_553,c_504]) ).
cnf(c_2913,plain,
multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sP13_iProver_def,X0),
inference(superposition,[status(thm)],[c_502,c_94]) ).
cnf(c_2915,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_93,c_94]) ).
cnf(c_2917,plain,
multiply(sP4_iProver_def,multiply(sk_c9,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1023,c_94]) ).
cnf(c_2918,plain,
multiply(sP12_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1024,c_94]) ).
cnf(c_2919,plain,
multiply(sP9_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1025,c_94]) ).
cnf(c_2920,plain,
multiply(sP7_iProver_def,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1026,c_94]) ).
cnf(c_2921,plain,
multiply(sP16_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1027,c_94]) ).
cnf(c_2922,plain,
multiply(sP6_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1028,c_94]) ).
cnf(c_2924,plain,
multiply(sP6_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2922,c_92]) ).
cnf(c_2925,plain,
multiply(sP16_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2921,c_92]) ).
cnf(c_2926,plain,
multiply(sP7_iProver_def,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2920,c_92]) ).
cnf(c_2927,plain,
multiply(sP9_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2919,c_92]) ).
cnf(c_2928,plain,
multiply(sP12_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2918,c_92]) ).
cnf(c_2929,plain,
multiply(sP4_iProver_def,multiply(sk_c9,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2917,c_92]) ).
cnf(c_3219,plain,
( sk_c9 = sP11_iProver_def
| sP6_iProver_def = sP16_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_851,c_545]) ).
cnf(c_3220,plain,
( sk_c9 = sP10_iProver_def
| sP6_iProver_def = sP16_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_851,c_544]) ).
cnf(c_3222,plain,
( sk_c9 = sP11_iProver_def
| sP6_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_851,c_538]) ).
cnf(c_3223,plain,
( sk_c9 = sP10_iProver_def
| sP6_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_851,c_537]) ).
cnf(c_3226,plain,
( multiply(sk_c2,sP6_iProver_def) = sP13_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_851,c_502]) ).
cnf(c_3228,plain,
( inverse(sP6_iProver_def) = sP4_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_851,c_493]) ).
cnf(c_3285,plain,
( sk_c9 = sP12_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_553,c_506]) ).
cnf(c_3457,plain,
( inverse(sk_c5) != sk_c8
| sk_c9 != sP10_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_499,c_508]) ).
cnf(c_3458,plain,
( inverse(sk_c1) != sk_c8
| sk_c9 != sP15_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_504,c_508]) ).
cnf(c_3459,plain,
( inverse(identity) != sk_c8
| sk_c9 != sk_c8
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_92,c_508]) ).
cnf(c_3460,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c9 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_93,c_508]) ).
cnf(c_3486,plain,
( sk_c9 != sP15_iProver_def
| sk_c8 != sP16_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3458,c_505]) ).
cnf(c_3490,plain,
( sk_c9 != sP10_iProver_def
| sk_c8 != sP9_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3457,c_498]) ).
cnf(c_3618,plain,
( X0 != sk_c8
| sP4_iProver_def != sk_c8
| sP4_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1752]) ).
cnf(c_3649,plain,
( sk_c8 != sP14_iProver_def
| sP4_iProver_def != sP14_iProver_def
| sP4_iProver_def = sk_c8 ),
inference(instantiation,[status(thm)],[c_1066]) ).
cnf(c_3652,plain,
( X0 != sP14_iProver_def
| sk_c8 != sP14_iProver_def
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_1069]) ).
cnf(c_3653,plain,
( sk_c9 != sP14_iProver_def
| sk_c8 != sP14_iProver_def
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_3652]) ).
cnf(c_3659,plain,
( X0 != sP4_iProver_def
| sk_c8 != sP4_iProver_def
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_1069]) ).
cnf(c_3660,plain,
( sk_c9 != sP4_iProver_def
| sk_c8 != sP4_iProver_def
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_3659]) ).
cnf(c_3709,plain,
( inverse(sk_c4) != sk_c9
| sk_c9 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_500,c_511]) ).
cnf(c_3711,plain,
( inverse(sk_c1) != sk_c9
| sk_c9 != sP15_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_504,c_511]) ).
cnf(c_3739,plain,
( sk_c9 != sP15_iProver_def
| sk_c9 != sP16_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3711,c_505]) ).
cnf(c_3747,plain,
( sk_c9 != sP11_iProver_def
| sk_c9 != sP12_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3709,c_501]) ).
cnf(c_3877,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_3975,plain,
( multiply(sk_c9,sk_c9) != sk_c8
| inverse(identity) != sk_c9
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_92,c_507]) ).
cnf(c_4132,plain,
( sP4_iProver_def != sk_c8
| sP14_iProver_def != sk_c8
| sP4_iProver_def = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_3618]) ).
cnf(c_4312,plain,
( sk_c9 = sP12_iProver_def
| sP6_iProver_def = sP16_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_861,c_546]) ).
cnf(c_4313,plain,
( sk_c9 = sP11_iProver_def
| sP6_iProver_def = sP16_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_861,c_545]) ).
cnf(c_4315,plain,
( sk_c9 = sP12_iProver_def
| sP6_iProver_def = sP15_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_861,c_539]) ).
cnf(c_4316,plain,
( sk_c9 = sP11_iProver_def
| sP6_iProver_def = sP15_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_861,c_538]) ).
cnf(c_4320,plain,
( multiply(sk_c2,sP6_iProver_def) = sP13_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_861,c_502]) ).
cnf(c_4322,plain,
( inverse(sP6_iProver_def) = sP4_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_861,c_493]) ).
cnf(c_4430,plain,
sP14_iProver_def = sP14_iProver_def,
inference(instantiation,[status(thm)],[c_554]) ).
cnf(c_4431,plain,
( X0 != X1
| sP14_iProver_def != X1
| X0 = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_4478,plain,
( sk_c9 = sP12_iProver_def
| sP6_iProver_def = sP16_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_862,c_546]) ).
cnf(c_4480,plain,
( sk_c9 = sP10_iProver_def
| sP6_iProver_def = sP16_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_862,c_544]) ).
cnf(c_4486,plain,
( multiply(sk_c2,sP6_iProver_def) = sP13_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_862,c_502]) ).
cnf(c_4488,plain,
( inverse(sP6_iProver_def) = sP4_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_862,c_493]) ).
cnf(c_5449,plain,
( sP10_iProver_def = sP11_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1912,c_1842]) ).
cnf(c_5696,plain,
( sP11_iProver_def = sP12_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1995,c_1912]) ).
cnf(c_5697,plain,
( sP10_iProver_def = sP12_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1995,c_1842]) ).
cnf(c_6537,plain,
( sP4_iProver_def = sP14_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2611,c_2458]) ).
cnf(c_6755,plain,
( sP4_iProver_def = sP14_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_2749,c_2458]) ).
cnf(c_6921,plain,
multiply(sP6_iProver_def,sP13_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_502,c_2924]) ).
cnf(c_6947,plain,
multiply(sP16_iProver_def,sP15_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_504,c_2925]) ).
cnf(c_6969,plain,
multiply(sP9_iProver_def,sP10_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_499,c_2927]) ).
cnf(c_6972,plain,
multiply(sP9_iProver_def,multiply(sP10_iProver_def,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_6969,c_94]) ).
cnf(c_7151,plain,
multiply(sP12_iProver_def,sP11_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_500,c_2928]) ).
cnf(c_7183,plain,
multiply(sP4_iProver_def,sP14_iProver_def) = sk_c3,
inference(superposition,[status(thm)],[c_503,c_2929]) ).
cnf(c_7509,plain,
( X0 != X1
| sP4_iProver_def != X1
| X0 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_8546,plain,
( multiply(sP6_iProver_def,sP13_iProver_def) = sP12_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_972,c_2924]) ).
cnf(c_8547,plain,
( sk_c9 = sP6_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8546,c_6921]) ).
cnf(c_8639,plain,
( multiply(sP6_iProver_def,sP13_iProver_def) = sP14_iProver_def
| sk_c9 = sP12_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_861,c_984]) ).
cnf(c_8644,plain,
( multiply(sP16_iProver_def,sP13_iProver_def) = sP14_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_546,c_984]) ).
cnf(c_8647,plain,
( multiply(sP15_iProver_def,sP13_iProver_def) = sP14_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_539,c_984]) ).
cnf(c_8692,plain,
( sk_c9 = sP12_iProver_def
| sk_c9 = sP14_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8639,c_6921]) ).
cnf(c_10439,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP14_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1120,c_2925]) ).
cnf(c_10440,plain,
( sk_c9 = sP10_iProver_def
| sk_c8 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10439,c_6947]) ).
cnf(c_10492,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP14_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1151,c_2925]) ).
cnf(c_10493,plain,
( sk_c9 = sP11_iProver_def
| sk_c8 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10492,c_6947]) ).
cnf(c_10540,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP14_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1185,c_2925]) ).
cnf(c_10541,plain,
( sk_c9 = sP12_iProver_def
| sk_c8 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10540,c_6947]) ).
cnf(c_10920,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP9_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1388,c_2925]) ).
cnf(c_10921,plain,
( sk_c9 = sP15_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10920,c_6947]) ).
cnf(c_11014,plain,
( multiply(sP6_iProver_def,sP13_iProver_def) = sP15_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1445,c_2924]) ).
cnf(c_11015,plain,
( sk_c9 = sP10_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_11014,c_6921]) ).
cnf(c_11263,plain,
( multiply(sP6_iProver_def,sP13_iProver_def) = sP15_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1496,c_2924]) ).
cnf(c_11264,plain,
( sk_c9 = sP11_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_11263,c_6921]) ).
cnf(c_11398,plain,
( multiply(sP6_iProver_def,sP13_iProver_def) = sP15_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1542,c_2924]) ).
cnf(c_11399,plain,
( sk_c9 = sP12_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_11398,c_6921]) ).
cnf(c_12253,plain,
( multiply(sP6_iProver_def,sP13_iProver_def) = sP16_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1916,c_2924]) ).
cnf(c_12254,plain,
( sk_c9 = sP11_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12253,c_6921]) ).
cnf(c_12348,plain,
( multiply(sP6_iProver_def,sP13_iProver_def) = sP16_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_2000,c_2924]) ).
cnf(c_12349,plain,
( sk_c9 = sP12_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12348,c_6921]) ).
cnf(c_13225,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP4_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_2754,c_2925]) ).
cnf(c_13226,plain,
( sk_c9 = sP12_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13225,c_6947]) ).
cnf(c_16343,plain,
( sk_c8 = sP9_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2459,c_529,c_550,c_1071,c_1111,c_4132]) ).
cnf(c_16428,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_16343,c_499]) ).
cnf(c_17413,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2915,c_92]) ).
cnf(c_17454,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_92,c_17413]) ).
cnf(c_17455,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_93,c_17413]) ).
cnf(c_17456,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_94,c_17413]) ).
cnf(c_17568,plain,
multiply(inverse(sP16_iProver_def),identity) = sk_c1,
inference(superposition,[status(thm)],[c_1027,c_17413]) ).
cnf(c_17653,plain,
multiply(inverse(sP4_iProver_def),X0) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_2929,c_17413]) ).
cnf(c_17654,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2928,c_17413]) ).
cnf(c_17655,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2927,c_17413]) ).
cnf(c_17656,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2926,c_17413]) ).
cnf(c_17657,plain,
multiply(inverse(sP16_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2925,c_17413]) ).
cnf(c_17658,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2924,c_17413]) ).
cnf(c_17716,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_17413,c_17413]) ).
cnf(c_18323,plain,
( multiply(identity,inverse(identity)) != sk_c8
| sk_c9 != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_17454,c_509]) ).
cnf(c_18345,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_17455,c_17716]) ).
cnf(c_18372,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_18345,c_17454]) ).
cnf(c_18890,plain,
( sP6_iProver_def = sP16_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_3220,c_3219]) ).
cnf(c_19462,plain,
( sP6_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_3223,c_3222]) ).
cnf(c_19972,plain,
( sP6_iProver_def = sP16_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_4313,c_4312]) ).
cnf(c_20427,plain,
( sP6_iProver_def = sP15_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_4316,c_4315]) ).
cnf(c_20493,plain,
( sk_c8 != sP16_iProver_def
| ~ sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3486,c_3490,c_3486,c_10921,c_11015]) ).
cnf(c_20526,plain,
( sP4_iProver_def != sP16_iProver_def
| ~ sP2_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_553,c_20493]) ).
cnf(c_20535,plain,
( sP9_iProver_def != sP16_iProver_def
| ~ sP2_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_536,c_20493]) ).
cnf(c_20538,plain,
( sP14_iProver_def != sP16_iProver_def
| ~ sP2_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_532,c_20493]) ).
cnf(c_20540,plain,
( sP14_iProver_def != sP16_iProver_def
| ~ sP2_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_530,c_20493]) ).
cnf(c_20541,plain,
( sP14_iProver_def != sP16_iProver_def
| ~ sP2_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_529,c_20493]) ).
cnf(c_21221,plain,
multiply(sk_c9,sP4_iProver_def) = identity,
inference(superposition,[status(thm)],[c_17653,c_93]) ).
cnf(c_21224,plain,
multiply(sk_c9,multiply(sP4_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_17653,c_17413]) ).
cnf(c_21225,plain,
multiply(sk_c9,identity) = inverse(sP4_iProver_def),
inference(superposition,[status(thm)],[c_17653,c_18345]) ).
cnf(c_21261,plain,
( ~ sP2_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_20535,c_3490,c_10921,c_11015]) ).
cnf(c_21298,plain,
( multiply(sP16_iProver_def,sP4_iProver_def) = identity
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_546,c_21221]) ).
cnf(c_21299,plain,
( multiply(sP16_iProver_def,sP4_iProver_def) = identity
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_545,c_21221]) ).
cnf(c_21300,plain,
( multiply(sP16_iProver_def,sP4_iProver_def) = identity
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_544,c_21221]) ).
cnf(c_21309,plain,
multiply(sk_c2,identity) = multiply(sP13_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_21221,c_2913]) ).
cnf(c_21521,plain,
( multiply(inverse(sP16_iProver_def),identity) = sP4_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_21298,c_17413]) ).
cnf(c_21522,plain,
( multiply(sP16_iProver_def,multiply(sP4_iProver_def,X0)) = multiply(identity,X0)
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_21298,c_94]) ).
cnf(c_21523,plain,
( sk_c9 = sP12_iProver_def
| sk_c1 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_21521,c_17568]) ).
cnf(c_21526,plain,
( multiply(sP16_iProver_def,multiply(sP4_iProver_def,X0)) = X0
| sk_c9 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_21522,c_92]) ).
cnf(c_21560,plain,
( multiply(inverse(sP16_iProver_def),identity) = sP4_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_21299,c_17413]) ).
cnf(c_21562,plain,
( sk_c9 = sP11_iProver_def
| sk_c1 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_21560,c_17568]) ).
cnf(c_21599,plain,
( multiply(inverse(sP16_iProver_def),identity) = sP4_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_21300,c_17413]) ).
cnf(c_21601,plain,
( sk_c9 = sP10_iProver_def
| sk_c1 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_21599,c_17568]) ).
cnf(c_21706,plain,
inverse(sP4_iProver_def) = sk_c9,
inference(demodulation,[status(thm)],[c_21225,c_18345]) ).
cnf(c_21741,plain,
( multiply(sP15_iProver_def,multiply(sP4_iProver_def,X0)) = X0
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_539,c_21224]) ).
cnf(c_21780,plain,
( inverse(sP4_iProver_def) != sk_c9
| sk_c9 != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_21224,c_507]) ).
cnf(c_21859,plain,
( sk_c9 != sk_c8
| ~ sP3_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_21780,c_21706]) ).
cnf(c_21933,plain,
( sk_c9 != sP14_iProver_def
| ~ sP3_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_531,c_21859]) ).
cnf(c_21934,plain,
( sk_c9 != sP14_iProver_def
| ~ sP3_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_530,c_21859]) ).
cnf(c_22022,plain,
multiply(sP13_iProver_def,sP4_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_21309,c_18345]) ).
cnf(c_22023,plain,
multiply(inverse(sP13_iProver_def),sk_c2) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_22022,c_17413]) ).
cnf(c_22114,plain,
( ~ sP2_iProver_def
| sP14_iProver_def != sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_20538,c_3490,c_20541,c_20540]) ).
cnf(c_22115,plain,
( sP14_iProver_def != sP16_iProver_def
| ~ sP2_iProver_def ),
inference(renaming,[status(thm)],[c_22114]) ).
cnf(c_22305,plain,
multiply(inverse(sP13_iProver_def),multiply(sk_c2,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_22023,c_94]) ).
cnf(c_22359,plain,
( multiply(sP4_iProver_def,sP14_iProver_def) = sP15_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_21523,c_1185]) ).
cnf(c_22370,plain,
( multiply(sP4_iProver_def,sk_c8) = sP15_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_21523,c_504]) ).
cnf(c_22375,plain,
( sk_c9 = sP12_iProver_def
| sk_c3 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_22359,c_7183]) ).
cnf(c_23350,plain,
( inverse(sP4_iProver_def) != sk_c9
| sk_c9 != sP15_iProver_def
| ~ sP0_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_22370,c_511]) ).
cnf(c_23375,plain,
( sk_c9 != sP15_iProver_def
| ~ sP0_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_23350,c_21706]) ).
cnf(c_23898,plain,
( multiply(sP4_iProver_def,sP14_iProver_def) = sP15_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_21562,c_1151]) ).
cnf(c_23913,plain,
( sk_c9 = sP11_iProver_def
| sk_c3 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_23898,c_7183]) ).
cnf(c_23983,plain,
( multiply(sP4_iProver_def,sP14_iProver_def) = sP15_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_21601,c_1120]) ).
cnf(c_23992,plain,
( multiply(sP4_iProver_def,sk_c8) = sP15_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_21601,c_504]) ).
cnf(c_23997,plain,
( sk_c9 = sP10_iProver_def
| sk_c3 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_23983,c_7183]) ).
cnf(c_25583,plain,
( inverse(sP4_iProver_def) != sk_c9
| sk_c9 != sP15_iProver_def
| ~ sP0_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_23992,c_511]) ).
cnf(c_25584,plain,
( inverse(sP4_iProver_def) != sk_c8
| sk_c9 != sP15_iProver_def
| ~ sP2_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_23992,c_508]) ).
cnf(c_25603,plain,
( sk_c9 != sk_c8
| sk_c9 != sP15_iProver_def
| ~ sP2_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_25584,c_21706]) ).
cnf(c_25608,plain,
( sk_c9 != sP15_iProver_def
| ~ sP0_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_25583,c_21706]) ).
cnf(c_25618,plain,
( X0 != sP14_iProver_def
| sP4_iProver_def != sP14_iProver_def
| X0 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_7509]) ).
cnf(c_25868,plain,
( multiply(sP15_iProver_def,sP15_iProver_def) = sP14_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_22375,c_1541]) ).
cnf(c_25881,plain,
( multiply(sk_c9,sP15_iProver_def) = sP14_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_22375,c_503]) ).
cnf(c_25882,plain,
( sk_c9 = sP12_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_22375,c_525]) ).
cnf(c_26067,plain,
( multiply(sk_c9,sP15_iProver_def) = sP14_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_23913,c_503]) ).
cnf(c_26069,plain,
( sk_c9 = sP11_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_23913,c_524]) ).
cnf(c_26188,plain,
( sk_c9 = sP10_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_23997,c_523]) ).
cnf(c_26679,plain,
( sP11_iProver_def = sP12_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_26069,c_25882]) ).
cnf(c_27064,plain,
( sP10_iProver_def = sP11_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_26188,c_26069]) ).
cnf(c_27065,plain,
( sP10_iProver_def = sP12_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_26188,c_25882]) ).
cnf(c_27991,plain,
( sP6_iProver_def = sP16_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_4480,c_4478]) ).
cnf(c_28193,plain,
( sP6_iProver_def = sP13_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_26679,c_20427]) ).
cnf(c_28502,plain,
( sP6_iProver_def = sP13_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_27064,c_19462]) ).
cnf(c_29265,plain,
( sP6_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_27991,c_5697]) ).
cnf(c_30255,plain,
( sP6_iProver_def = sP13_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_29265,c_27065]) ).
cnf(c_31232,plain,
( inverse(inverse(sP12_iProver_def)) != sk_c8
| multiply(sk_c4,sk_c8) != sk_c9
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_17654,c_508]) ).
cnf(c_31235,plain,
multiply(sk_c4,sP12_iProver_def) = identity,
inference(superposition,[status(thm)],[c_17654,c_93]) ).
cnf(c_31237,plain,
( multiply(sk_c9,multiply(sk_c4,sk_c9)) != sk_c8
| inverse(inverse(sP12_iProver_def)) != sk_c9
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_17654,c_507]) ).
cnf(c_31239,plain,
multiply(sk_c4,identity) = inverse(sP12_iProver_def),
inference(superposition,[status(thm)],[c_17654,c_18345]) ).
cnf(c_31248,plain,
( inverse(inverse(sP12_iProver_def)) != sk_c8
| sk_c9 != sP11_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_31232,c_500]) ).
cnf(c_31332,plain,
inverse(sP12_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_31239,c_18345]) ).
cnf(c_32141,plain,
multiply(sk_c5,sP9_iProver_def) = identity,
inference(superposition,[status(thm)],[c_17655,c_93]) ).
cnf(c_32160,plain,
( identity = sP10_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(demodulation,[status(thm)],[c_16428,c_32141]) ).
cnf(c_32161,plain,
( sk_c8 = sP4_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_2337,c_32141]) ).
cnf(c_32226,plain,
( inverse(sP10_iProver_def) = sP10_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_32160,c_18372]) ).
cnf(c_33889,plain,
multiply(sk_c6,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_17656,c_93]) ).
cnf(c_33906,plain,
( sk_c8 = sP4_iProver_def
| identity = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_2190,c_33889]) ).
cnf(c_35562,plain,
( multiply(sk_c9,sP13_iProver_def) = sP14_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_525,c_503]) ).
cnf(c_36732,plain,
( sk_c9 = sP12_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_553,c_506]) ).
cnf(c_36734,plain,
( sk_c9 = sP10_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_551,c_506]) ).
cnf(c_37016,plain,
( inverse(sk_c1) != sk_c9
| sk_c9 != sP15_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_504,c_511]) ).
cnf(c_37046,plain,
( sk_c9 != sP15_iProver_def
| sk_c9 != sP16_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_37016,c_505]) ).
cnf(c_37171,plain,
( multiply(sk_c9,sP13_iProver_def) != sk_c8
| inverse(sk_c2) != sk_c9
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_502,c_507]) ).
cnf(c_37196,plain,
( multiply(sk_c9,sP13_iProver_def) != sk_c8
| sk_c9 != sP6_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_37171,c_495]) ).
cnf(c_37616,plain,
( sk_c9 = sP12_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_36732,c_506,c_2749,c_3649,c_10541,c_11399,c_23375]) ).
cnf(c_37656,plain,
( sk_c9 = sP10_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_36734,c_506,c_2458,c_3649,c_10440,c_11015,c_25608]) ).
cnf(c_39909,plain,
( sP4_iProver_def != sP14_iProver_def
| sP14_iProver_def != sP14_iProver_def
| sP14_iProver_def = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_25618]) ).
cnf(c_40526,plain,
multiply(sk_c1,identity) = inverse(sP16_iProver_def),
inference(superposition,[status(thm)],[c_17657,c_18345]) ).
cnf(c_40756,plain,
inverse(sP16_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_40526,c_18345]) ).
cnf(c_40778,plain,
( inverse(sP6_iProver_def) = sk_c1
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_27991,c_40756]) ).
cnf(c_40779,plain,
( inverse(sP6_iProver_def) = sk_c1
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_19972,c_40756]) ).
cnf(c_40780,plain,
( inverse(sP6_iProver_def) = sk_c1
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_18890,c_40756]) ).
cnf(c_40781,plain,
( inverse(sP15_iProver_def) = sk_c1
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_5697,c_40756]) ).
cnf(c_42495,plain,
multiply(sk_c2,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_17658,c_93]) ).
cnf(c_42499,plain,
multiply(sk_c2,identity) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_17658,c_18345]) ).
cnf(c_42531,plain,
( identity = sP13_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_4486,c_42495]) ).
cnf(c_42532,plain,
( identity = sP13_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_4320,c_42495]) ).
cnf(c_42533,plain,
( identity = sP13_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_3226,c_42495]) ).
cnf(c_43052,plain,
multiply(inverse(sP13_iProver_def),identity) = multiply(sP4_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_42495,c_22305]) ).
cnf(c_43121,plain,
( inverse(sP13_iProver_def) = sP13_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_42531,c_18372]) ).
cnf(c_43295,plain,
( inverse(sP13_iProver_def) = sP13_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_42532,c_18372]) ).
cnf(c_43332,plain,
inverse(sP6_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_42499,c_18345]) ).
cnf(c_43336,plain,
( sk_c2 = sP4_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_4488,c_43332]) ).
cnf(c_43337,plain,
( sk_c2 = sP4_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_4322,c_43332]) ).
cnf(c_43338,plain,
( sk_c2 = sP4_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_3228,c_43332]) ).
cnf(c_43359,plain,
( multiply(sP6_iProver_def,inverse(sP6_iProver_def)) != sk_c8
| multiply(sk_c2,sk_c9) != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_43332,c_509]) ).
cnf(c_43361,plain,
( sk_c8 != identity
| sk_c8 != sP13_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_43359,c_502,c_1028,c_43332]) ).
cnf(c_43538,plain,
( inverse(sP13_iProver_def) = sP13_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_42533,c_18372]) ).
cnf(c_44035,plain,
( X0 != X1
| sP16_iProver_def != X1
| sP16_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_47412,plain,
( multiply(sP10_iProver_def,sP10_iProver_def) = identity
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_32226,c_93]) ).
cnf(c_48596,plain,
( multiply(sP15_iProver_def,sP15_iProver_def) = sk_c8
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_22370,c_21741]) ).
cnf(c_50157,plain,
( sk_c1 = sk_c2
| sP10_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_40778,c_43332]) ).
cnf(c_50177,plain,
( sk_c1 = sP4_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_50157,c_43336]) ).
cnf(c_51542,plain,
( sk_c1 = sk_c2
| sP11_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_40779,c_43332]) ).
cnf(c_52882,plain,
( sk_c1 = sk_c2
| sP10_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_40780,c_43332]) ).
cnf(c_52900,plain,
( sk_c1 = sP4_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_52882,c_43338]) ).
cnf(c_53825,plain,
( inverse(sP13_iProver_def) = sk_c1
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_27065,c_40781]) ).
cnf(c_54298,plain,
( multiply(inverse(sP10_iProver_def),identity) = sP10_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_47412,c_17413]) ).
cnf(c_55118,plain,
( X0 != sP4_iProver_def
| sP14_iProver_def != sP4_iProver_def
| X0 = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_4431]) ).
cnf(c_55119,plain,
( sk_c9 != sP4_iProver_def
| sP14_iProver_def != sP4_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_55118]) ).
cnf(c_55120,plain,
multiply(sP4_iProver_def,sP6_iProver_def) = inverse(sP13_iProver_def),
inference(demodulation,[status(thm)],[c_43052,c_18345]) ).
cnf(c_55146,plain,
( multiply(sP15_iProver_def,inverse(sP13_iProver_def)) = sP6_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_55120,c_21741]) ).
cnf(c_55978,plain,
( inverse(sP6_iProver_def) = sP6_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_30255,c_43121]) ).
cnf(c_55992,plain,
( sk_c2 = sP6_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_55978,c_43332]) ).
cnf(c_56055,plain,
( sk_c1 = sP6_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_55992,c_50157]) ).
cnf(c_56228,plain,
( sk_c8 != X0
| sP16_iProver_def != X0
| sP16_iProver_def = sk_c8 ),
inference(instantiation,[status(thm)],[c_44035]) ).
cnf(c_56242,plain,
( sk_c8 != sk_c8
| sP16_iProver_def != sk_c8
| sk_c8 = sP16_iProver_def ),
inference(instantiation,[status(thm)],[c_1070]) ).
cnf(c_56243,plain,
( sk_c8 != sk_c9
| sP16_iProver_def != sk_c9
| sP16_iProver_def = sk_c8 ),
inference(instantiation,[status(thm)],[c_56228]) ).
cnf(c_56469,plain,
( inverse(sP6_iProver_def) = sP16_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_56055,c_505]) ).
cnf(c_56470,plain,
( sk_c2 = sP16_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_56469,c_43332]) ).
cnf(c_58529,plain,
( sP4_iProver_def = sP16_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_56470,c_43336]) ).
cnf(c_58558,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP13_iProver_def
| sk_c9 = sP12_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_56470,c_1542]) ).
cnf(c_58560,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP13_iProver_def
| sk_c9 = sP10_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_56470,c_1445]) ).
cnf(c_58606,plain,
( sk_c9 = sP10_iProver_def
| sk_c8 = sP13_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_58560,c_6947]) ).
cnf(c_58614,plain,
( sk_c9 = sP12_iProver_def
| sk_c8 = sP13_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_58558,c_6947]) ).
cnf(c_59423,plain,
( inverse(sP4_iProver_def) = sk_c1
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_58529,c_40756]) ).
cnf(c_59437,plain,
( sP4_iProver_def != sP14_iProver_def
| ~ sP2_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_58529,c_22115]) ).
cnf(c_59491,plain,
( sk_c9 = sk_c1
| sP10_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_59423,c_21706]) ).
cnf(c_61593,plain,
( sk_c9 = sP4_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_59491,c_50177]) ).
cnf(c_61640,plain,
( multiply(sk_c9,sk_c8) = sP15_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_59491,c_504]) ).
cnf(c_63255,plain,
( inverse(sP6_iProver_def) = sP6_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_28193,c_43295]) ).
cnf(c_63267,plain,
( sk_c2 = sP6_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_63255,c_43332]) ).
cnf(c_63403,plain,
( sk_c1 = sP6_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_63267,c_51542]) ).
cnf(c_63801,plain,
( inverse(sP6_iProver_def) = sP16_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_63403,c_505]) ).
cnf(c_63802,plain,
( sk_c2 = sP16_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_63801,c_43332]) ).
cnf(c_64668,plain,
( sP4_iProver_def = sP16_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_63802,c_43337]) ).
cnf(c_64698,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP13_iProver_def
| sk_c9 = sP12_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_63802,c_1542]) ).
cnf(c_64756,plain,
( sk_c9 = sP12_iProver_def
| sk_c8 = sP13_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_64698,c_6947]) ).
cnf(c_65299,plain,
( inverse(sP4_iProver_def) = sk_c1
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_64668,c_40756]) ).
cnf(c_65320,plain,
( ~ sP2_iProver_def
| sk_c9 = sP12_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_64668,c_20526]) ).
cnf(c_65354,plain,
( sP4_iProver_def = sP15_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_64668,c_5696]) ).
cnf(c_65367,plain,
( sk_c9 = sk_c1
| sP11_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_65299,c_21706]) ).
cnf(c_66432,plain,
( sk_c9 != sk_c8
| ~ sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3459,c_543,c_1072,c_1071,c_1111,c_3490,c_20493,c_21261,c_25603,c_56243,c_56242]) ).
cnf(c_68040,plain,
( multiply(sk_c9,sP4_iProver_def) = sP14_iProver_def
| sk_c9 = sP12_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_65354,c_25881]) ).
cnf(c_68167,plain,
( sk_c9 = sP12_iProver_def
| identity = sP14_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_68040,c_21221]) ).
cnf(c_68405,plain,
( multiply(sk_c9,sk_c8) = sP15_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_65367,c_504]) ).
cnf(c_69870,plain,
( inverse(sP6_iProver_def) = sP6_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_28502,c_43538]) ).
cnf(c_69883,plain,
( sk_c2 = sP6_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_69870,c_43332]) ).
cnf(c_69944,plain,
( sk_c1 = sP6_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_69883,c_52882]) ).
cnf(c_70370,plain,
( sk_c8 != X0
| identity != X0
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_1069]) ).
cnf(c_70376,plain,
( sk_c8 != sk_c9
| identity != sk_c9
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_70370]) ).
cnf(c_70709,plain,
( multiply(sP16_iProver_def,sk_c8) = sP15_iProver_def
| sk_c9 = sP12_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_546,c_61640]) ).
cnf(c_71144,plain,
( inverse(sP6_iProver_def) = sP16_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_69944,c_505]) ).
cnf(c_71145,plain,
( sk_c2 = sP16_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_71144,c_43332]) ).
cnf(c_71287,plain,
( sP4_iProver_def = sP16_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_71145,c_43338]) ).
cnf(c_71319,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP13_iProver_def
| sk_c9 = sP11_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_71145,c_1496]) ).
cnf(c_71366,plain,
( sk_c9 = sP11_iProver_def
| sk_c8 = sP13_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_71319,c_6947]) ).
cnf(c_71794,plain,
( inverse(sP4_iProver_def) = sk_c1
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_71287,c_40756]) ).
cnf(c_71808,plain,
( sP4_iProver_def != sP14_iProver_def
| ~ sP2_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_71287,c_22115]) ).
cnf(c_71850,plain,
( sP4_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_71287,c_5449]) ).
cnf(c_71862,plain,
( sk_c9 = sk_c1
| sP10_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_71794,c_21706]) ).
cnf(c_72374,plain,
( inverse(inverse(sP4_iProver_def)) != sP4_iProver_def
| sk_c9 != identity
| ~ sP2_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_553,c_3460]) ).
cnf(c_72429,plain,
( sk_c9 != identity
| sP4_iProver_def != sP4_iProver_def
| ~ sP2_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_72374,c_493,c_21706]) ).
cnf(c_72430,plain,
( sk_c9 != identity
| ~ sP2_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_72429]) ).
cnf(c_73611,plain,
( multiply(sP16_iProver_def,sk_c8) = sP15_iProver_def
| sk_c9 = sP12_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_546,c_68405]) ).
cnf(c_73945,plain,
( multiply(sk_c9,sP4_iProver_def) = sP14_iProver_def
| sk_c9 = sP11_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_71850,c_26067]) ).
cnf(c_74075,plain,
( sk_c9 = sP11_iProver_def
| identity = sP14_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_73945,c_21221]) ).
cnf(c_74568,plain,
( sk_c9 = sP4_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_71862,c_52900]) ).
cnf(c_77481,plain,
( X0 != sP14_iProver_def
| identity != sP14_iProver_def
| identity = X0 ),
inference(instantiation,[status(thm)],[c_3877]) ).
cnf(c_77484,plain,
( sk_c9 != sP14_iProver_def
| identity != sP14_iProver_def
| identity = sk_c9 ),
inference(instantiation,[status(thm)],[c_77481]) ).
cnf(c_77663,plain,
( X0 != sP4_iProver_def
| identity != sP4_iProver_def
| identity = X0 ),
inference(instantiation,[status(thm)],[c_3877]) ).
cnf(c_77666,plain,
( sk_c9 != sP4_iProver_def
| identity != sP4_iProver_def
| identity = sk_c9 ),
inference(instantiation,[status(thm)],[c_77663]) ).
cnf(c_79258,plain,
( multiply(sk_c1,sP13_iProver_def) = identity
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_53825,c_93]) ).
cnf(c_79615,plain,
( sk_c9 != sP16_iProver_def
| ~ sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_37046,c_3747,c_3739,c_11264,c_11399]) ).
cnf(c_79617,plain,
~ sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_79615,c_3747,c_12254,c_12349,c_79615]) ).
cnf(c_79946,plain,
( multiply(sP6_iProver_def,sP13_iProver_def) = identity
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_56055,c_79258]) ).
cnf(c_79971,plain,
( sk_c9 = identity
| sP10_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_79946,c_6921]) ).
cnf(c_80343,plain,
~ sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_3739,c_3747,c_12254,c_12349,c_79615]) ).
cnf(c_80347,plain,
( sk_c9 = sP12_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_3285,c_80343]) ).
cnf(c_80348,plain,
( sk_c8 != sP4_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_506,c_80343]) ).
cnf(c_82226,plain,
( identity = sP4_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_79971,c_61593]) ).
cnf(c_108599,plain,
( sk_c9 != sP6_iProver_def
| sk_c8 != sP14_iProver_def
| ~ sP3_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_35562,c_37196]) ).
cnf(c_110344,plain,
( multiply(sP16_iProver_def,identity) = sk_c9
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1023,c_21526]) ).
cnf(c_110357,plain,
( multiply(sP16_iProver_def,identity) = sP15_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1540,c_21526]) ).
cnf(c_111041,plain,
( sk_c9 = sP12_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_70709,c_2749,c_3660,c_8547,c_10541,c_13226,c_37616,c_43361,c_58614,c_59437,c_61593,c_70376,c_77666,c_82226,c_108599]) ).
cnf(c_111213,plain,
( sk_c9 = sP10_iProver_def
| sP10_iProver_def = sP12_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_111041,c_537]) ).
cnf(c_114738,plain,
( sP10_iProver_def = sP12_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_111213,c_3653,c_4430,c_6755,c_10440,c_21934,c_37656,c_39909,c_43361,c_55119,c_58606,c_59437,c_61593,c_70376,c_77666,c_82226]) ).
cnf(c_114739,plain,
( sk_c9 = sP10_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(renaming,[status(thm)],[c_114738]) ).
cnf(c_114795,plain,
sP10_iProver_def = sP12_iProver_def,
inference(superposition,[status(thm)],[c_114739,c_111041]) ).
cnf(c_114968,plain,
inverse(sP10_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_31332,c_114795]) ).
cnf(c_114969,plain,
multiply(sk_c4,sP10_iProver_def) = identity,
inference(demodulation,[status(thm)],[c_31235,c_114795]) ).
cnf(c_115032,plain,
multiply(sP10_iProver_def,sP11_iProver_def) = sk_c8,
inference(demodulation,[status(thm)],[c_7151,c_114795]) ).
cnf(c_115042,plain,
multiply(sP10_iProver_def,sk_c4) = identity,
inference(demodulation,[status(thm)],[c_1024,c_114795]) ).
cnf(c_115044,plain,
inverse(sk_c4) = sP10_iProver_def,
inference(demodulation,[status(thm)],[c_501,c_114795]) ).
cnf(c_115119,plain,
( sk_c9 = sP12_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_73611,c_506,c_2749,c_3649,c_3653,c_8547,c_8692,c_10541,c_43361,c_64756,c_65320,c_68167,c_70376,c_77484,c_79617,c_108599]) ).
cnf(c_115121,plain,
( sk_c9 = sP10_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_115119,c_114795]) ).
cnf(c_115242,plain,
( sk_c9 = sP11_iProver_def
| sP10_iProver_def = sP11_iProver_def
| sP10_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_115121,c_538]) ).
cnf(c_115406,plain,
( sP10_iProver_def = sP11_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_115242,c_506,c_3649,c_3653,c_4430,c_6537,c_10493,c_21933,c_39909,c_43361,c_55119,c_70376,c_71366,c_71808,c_74075,c_74568,c_77484,c_79617]) ).
cnf(c_115407,plain,
( sk_c9 = sP11_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(renaming,[status(thm)],[c_115406]) ).
cnf(c_115444,plain,
sP10_iProver_def = sP11_iProver_def,
inference(superposition,[status(thm)],[c_115407,c_115121]) ).
cnf(c_115732,plain,
multiply(sP10_iProver_def,sP10_iProver_def) = sk_c8,
inference(light_normalisation,[status(thm)],[c_115032,c_115444]) ).
cnf(c_115750,plain,
multiply(sP10_iProver_def,multiply(sP10_iProver_def,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_115732,c_94]) ).
cnf(c_115758,plain,
multiply(sk_c8,sP10_iProver_def) = multiply(sP9_iProver_def,sk_c8),
inference(superposition,[status(thm)],[c_115732,c_6972]) ).
cnf(c_115786,plain,
multiply(sk_c8,sk_c4) = multiply(sP9_iProver_def,identity),
inference(superposition,[status(thm)],[c_115042,c_6972]) ).
cnf(c_115904,plain,
multiply(sk_c8,sP10_iProver_def) = multiply(sP10_iProver_def,sk_c8),
inference(superposition,[status(thm)],[c_115732,c_115750]) ).
cnf(c_115905,plain,
multiply(sk_c8,sk_c4) = multiply(sP10_iProver_def,identity),
inference(superposition,[status(thm)],[c_115042,c_115750]) ).
cnf(c_115917,plain,
multiply(sP9_iProver_def,identity) = multiply(sP10_iProver_def,identity),
inference(light_normalisation,[status(thm)],[c_115905,c_115786]) ).
cnf(c_115918,plain,
multiply(sP9_iProver_def,sk_c8) = multiply(sP10_iProver_def,sk_c8),
inference(light_normalisation,[status(thm)],[c_115904,c_115758]) ).
cnf(c_116104,plain,
( multiply(sk_c9,sk_c9) != sk_c8
| sk_c9 != identity
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3975,c_18372]) ).
cnf(c_116399,plain,
( multiply(identity,identity) != sk_c8
| sk_c9 != sk_c8
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18323,c_18372]) ).
cnf(c_116400,plain,
( sk_c9 != sk_c8
| sk_c8 != identity
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_116399,c_92]) ).
cnf(c_116913,plain,
multiply(inverse(multiply(X0,sk_c1)),multiply(X0,sP15_iProver_def)) = sk_c8,
inference(superposition,[status(thm)],[c_504,c_17456]) ).
cnf(c_116970,plain,
( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,sP15_iProver_def)) = sP8_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_2243,c_17456]) ).
cnf(c_116975,plain,
( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,sP15_iProver_def)) = sP5_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_2086,c_17456]) ).
cnf(c_121699,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_116975,c_116970,c_116913,c_116400,c_116104,c_115918,c_115917,c_115444,c_115044,c_114969,c_114968,c_114795,c_110357,c_110344,c_80348,c_80343,c_72430,c_66432,c_55146,c_55120,c_54298,c_48596,c_43332,c_43052,c_42499,c_42495,c_80347,c_33906,c_33889,c_32161,c_32141,c_31332,c_31248,c_31237,c_31239,c_25868,c_25882,c_22023,c_21859,c_21706,c_21225,c_21221,c_18372,c_18323,c_13226,c_8647,c_8644,c_6969,c_6921,c_1023,c_987,c_984,c_518,c_515,c_514,c_513,c_506,c_502,c_499,c_497,c_493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP239-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 23:50:19 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 20.52/3.73 % SZS status Started for theBenchmark.p
% 20.52/3.73 % SZS status Unsatisfiable for theBenchmark.p
% 20.52/3.73
% 20.52/3.73 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 20.52/3.73
% 20.52/3.73 ------ iProver source info
% 20.52/3.73
% 20.52/3.73 git: date: 2024-05-02 19:28:25 +0000
% 20.52/3.73 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 20.52/3.73 git: non_committed_changes: false
% 20.52/3.73
% 20.52/3.73 ------ Parsing...successful
% 20.52/3.73
% 20.52/3.73
% 20.52/3.73
% 20.52/3.73 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 20.52/3.73
% 20.52/3.73 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.52/3.73
% 20.52/3.73 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 20.52/3.73 ------ Proving...
% 20.52/3.73 ------ Problem Properties
% 20.52/3.73
% 20.52/3.73
% 20.52/3.73 clauses 63
% 20.52/3.73 conjectures 47
% 20.52/3.73 EPR 43
% 20.52/3.73 Horn 20
% 20.52/3.73 unary 16
% 20.52/3.73 binary 42
% 20.52/3.73 lits 117
% 20.52/3.73 lits eq 109
% 20.52/3.73 fd_pure 0
% 20.52/3.73 fd_pseudo 0
% 20.52/3.73 fd_cond 0
% 20.52/3.73 fd_pseudo_cond 0
% 20.52/3.73 AC symbols 0
% 20.52/3.73
% 20.52/3.73 ------ Schedule dynamic 5 is on
% 20.52/3.73
% 20.52/3.73 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.52/3.73
% 20.52/3.73
% 20.52/3.73 ------
% 20.52/3.73 Current options:
% 20.52/3.73 ------
% 20.52/3.73
% 20.52/3.73
% 20.52/3.73
% 20.52/3.73
% 20.52/3.73 ------ Proving...
% 20.52/3.73
% 20.52/3.73
% 20.52/3.73 % SZS status Unsatisfiable for theBenchmark.p
% 20.52/3.73
% 20.52/3.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.52/3.73
% 20.52/3.73
%------------------------------------------------------------------------------