TSTP Solution File: GRP298-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP298-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 02:22:05 EDT 2024
% Result : Unsatisfiable 10.30s 2.15s
% Output : CNFRefutation 10.30s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_81,negated_conjecture,
( multiply(X0,X1) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| multiply(X4,sk_c7) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(sk_c6,sk_c8) != sk_c7
| inverse(X0) != X1
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_83,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_84,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_85,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c7
| multiply(inverse(X0),sk_c6) != sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c7) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(sk_c6,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8 ),
inference(unflattening,[status(thm)],[c_81]) ).
cnf(c_398,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_85]) ).
cnf(c_399,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_85]) ).
cnf(c_400,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c7
| multiply(inverse(X0),sk_c6) != sk_c7
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_85]) ).
cnf(c_401,negated_conjecture,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(sk_c6,sk_c8) != sk_c7
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_85]) ).
cnf(c_402,plain,
multiply(sk_c8,sk_c7) = sP3_iProver_def,
definition ).
cnf(c_403,plain,
multiply(sk_c8,sk_c6) = sP4_iProver_def,
definition ).
cnf(c_404,plain,
multiply(sk_c6,sk_c8) = sP5_iProver_def,
definition ).
cnf(c_408,plain,
multiply(sk_c3,sk_c7) = sP9_iProver_def,
definition ).
cnf(c_409,plain,
inverse(sk_c3) = sP10_iProver_def,
definition ).
cnf(c_410,plain,
inverse(sk_c2) = sP11_iProver_def,
definition ).
cnf(c_411,plain,
multiply(sk_c2,sk_c8) = sP12_iProver_def,
definition ).
cnf(c_412,plain,
inverse(sk_c1) = sP13_iProver_def,
definition ).
cnf(c_413,plain,
multiply(sk_c1,sk_c8) = sP14_iProver_def,
definition ).
cnf(c_414,negated_conjecture,
( sP3_iProver_def != sk_c6
| sP4_iProver_def != sk_c7
| sP5_iProver_def != sk_c7
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_401,c_404,c_403,c_402]) ).
cnf(c_415,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c7
| multiply(inverse(X0),sk_c6) != sk_c7
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_400]) ).
cnf(c_416,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_399]) ).
cnf(c_418,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_398]) ).
cnf(c_422,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_77,c_408]) ).
cnf(c_423,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_76,c_409]) ).
cnf(c_424,negated_conjecture,
( sP4_iProver_def = sk_c7
| sP5_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_75]) ).
cnf(c_425,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP11_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_74,c_410]) ).
cnf(c_430,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_431,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_433,negated_conjecture,
( sP11_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_434,negated_conjecture,
( sP12_iProver_def = sk_c7
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_438,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_439,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_441,negated_conjecture,
( sP11_iProver_def = sk_c8
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_442,negated_conjecture,
( sP12_iProver_def = sk_c7
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_446,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_447,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_448,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP4_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_449,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP11_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_872,plain,
( multiply(sP13_iProver_def,sk_c7) = sP3_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_430,c_402]) ).
cnf(c_885,plain,
( multiply(sP13_iProver_def,sk_c7) = sP3_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_431,c_402]) ).
cnf(c_956,plain,
( multiply(sP13_iProver_def,sk_c7) = sP3_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_433,c_402]) ).
cnf(c_987,plain,
( multiply(sk_c8,sP12_iProver_def) = sP3_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_434,c_402]) ).
cnf(c_1041,plain,
( multiply(sk_c3,sP12_iProver_def) = sP9_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_434,c_408]) ).
cnf(c_1089,plain,
( multiply(sk_c2,sP13_iProver_def) = sP12_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_433,c_411]) ).
cnf(c_1119,plain,
multiply(sP11_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_410,c_83]) ).
cnf(c_1120,plain,
multiply(sP10_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_409,c_83]) ).
cnf(c_1122,plain,
multiply(sP13_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_412,c_83]) ).
cnf(c_1339,plain,
( sk_c8 = sP9_iProver_def
| sP5_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_438,c_422]) ).
cnf(c_1441,plain,
( sk_c8 = sP10_iProver_def
| sP5_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_439,c_423]) ).
cnf(c_1589,plain,
( multiply(sk_c3,sP14_iProver_def) = sP9_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_441,c_408]) ).
cnf(c_1596,plain,
( sk_c8 = sP11_iProver_def
| sP5_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_441,c_425]) ).
cnf(c_1704,plain,
( multiply(sk_c3,sP14_iProver_def) = sP9_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_442,c_408]) ).
cnf(c_1709,plain,
( multiply(sk_c8,sP14_iProver_def) = sP3_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_442,c_402]) ).
cnf(c_1938,plain,
( multiply(sP3_iProver_def,sk_c8) = sP5_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_449,c_404]) ).
cnf(c_2104,plain,
( inverse(sk_c3) != sk_c8
| sk_c8 != sP9_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_408,c_416]) ).
cnf(c_2129,plain,
( sk_c8 != sP9_iProver_def
| sk_c8 != sP10_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2104,c_409]) ).
cnf(c_2278,plain,
( inverse(sk_c2) != sk_c8
| sk_c7 != sP12_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_411,c_418]) ).
cnf(c_2279,plain,
( inverse(sk_c1) != sk_c8
| sk_c7 != sP14_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_413,c_418]) ).
cnf(c_2292,plain,
( sk_c8 != sP13_iProver_def
| sk_c7 != sP14_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2279,c_412]) ).
cnf(c_2296,plain,
( sk_c8 != sP11_iProver_def
| sk_c7 != sP12_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2278,c_410]) ).
cnf(c_2922,plain,
multiply(sk_c8,multiply(sk_c6,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_403,c_84]) ).
cnf(c_2923,plain,
multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_408,c_84]) ).
cnf(c_2926,plain,
multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sP14_iProver_def,X0),
inference(superposition,[status(thm)],[c_413,c_84]) ).
cnf(c_2927,plain,
multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_404,c_84]) ).
cnf(c_2929,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_83,c_84]) ).
cnf(c_2931,plain,
multiply(sP11_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1119,c_84]) ).
cnf(c_2932,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1120,c_84]) ).
cnf(c_2934,plain,
multiply(sP13_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1122,c_84]) ).
cnf(c_2938,plain,
multiply(sP13_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2934,c_82]) ).
cnf(c_2940,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2932,c_82]) ).
cnf(c_2941,plain,
multiply(sP11_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2931,c_82]) ).
cnf(c_3219,plain,
( multiply(sP9_iProver_def,sk_c7) = sP3_iProver_def
| sP5_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1339,c_402]) ).
cnf(c_3597,plain,
( multiply(sP11_iProver_def,sk_c6) = sP4_iProver_def
| sP5_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1596,c_403]) ).
cnf(c_4108,plain,
multiply(sP13_iProver_def,sP14_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_413,c_2938]) ).
cnf(c_4140,plain,
multiply(sP10_iProver_def,sP9_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_408,c_2940]) ).
cnf(c_4143,plain,
multiply(sP10_iProver_def,multiply(sP9_iProver_def,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_4140,c_84]) ).
cnf(c_4145,plain,
multiply(sP11_iProver_def,sP12_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_411,c_2941]) ).
cnf(c_4496,plain,
( inverse(sP13_iProver_def) != sk_c8
| sk_c8 != sP3_iProver_def
| ~ sP1_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_872,c_416]) ).
cnf(c_4870,plain,
( inverse(sP13_iProver_def) != sk_c8
| sk_c8 != sP3_iProver_def
| ~ sP1_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_885,c_416]) ).
cnf(c_5432,plain,
( multiply(sP13_iProver_def,sP14_iProver_def) = sP3_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_441,c_956]) ).
cnf(c_5451,plain,
( sk_c8 = sP3_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5432,c_4108]) ).
cnf(c_5634,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP12_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1041,c_2940]) ).
cnf(c_5635,plain,
( sk_c8 = sP13_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5634,c_4140]) ).
cnf(c_5746,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP3_iProver_def
| sk_c8 = sP3_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_5451,c_987]) ).
cnf(c_5776,plain,
( multiply(sP11_iProver_def,sk_c7) = sP3_iProver_def
| sk_c8 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_5451,c_402]) ).
cnf(c_5827,plain,
( sk_c8 = sP3_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5746,c_4145]) ).
cnf(c_6209,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP13_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1089,c_2941]) ).
cnf(c_6210,plain,
( sk_c8 = sP11_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6209,c_4145]) ).
cnf(c_7576,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP14_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1589,c_2940]) ).
cnf(c_7577,plain,
( sk_c8 = sP11_iProver_def
| sk_c7 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7576,c_4140]) ).
cnf(c_7672,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP14_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1704,c_2940]) ).
cnf(c_7673,plain,
( sk_c7 = sP12_iProver_def
| sk_c7 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7672,c_4140]) ).
cnf(c_7692,plain,
( multiply(sP13_iProver_def,sP14_iProver_def) = sP3_iProver_def
| sk_c8 = sP3_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_5827,c_1709]) ).
cnf(c_7780,plain,
( sk_c8 = sP3_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7692,c_4108]) ).
cnf(c_9027,plain,
( inverse(sP3_iProver_def) != sk_c8
| sk_c7 != sP5_iProver_def
| ~ sP0_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1938,c_418]) ).
cnf(c_14688,plain,
multiply(sk_c8,sP5_iProver_def) = multiply(sP4_iProver_def,sk_c8),
inference(superposition,[status(thm)],[c_404,c_2922]) ).
cnf(c_16768,plain,
multiply(sk_c1,sP3_iProver_def) = multiply(sP14_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_402,c_2926]) ).
cnf(c_16769,plain,
multiply(sk_c1,sP4_iProver_def) = multiply(sP14_iProver_def,sk_c6),
inference(superposition,[status(thm)],[c_403,c_2926]) ).
cnf(c_17778,plain,
multiply(sk_c6,sP3_iProver_def) = multiply(sP5_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_402,c_2927]) ).
cnf(c_20771,plain,
( inverse(sP9_iProver_def) != sk_c8
| sk_c8 != sP3_iProver_def
| ~ sP1_iProver_def
| sP5_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_3219,c_416]) ).
cnf(c_29983,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP3_iProver_def
| sk_c8 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_7780,c_5776]) ).
cnf(c_30038,plain,
sk_c8 = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_29983,c_4145]) ).
cnf(c_30048,plain,
multiply(sP3_iProver_def,sP5_iProver_def) = multiply(sP4_iProver_def,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_14688,c_30038]) ).
cnf(c_30152,plain,
multiply(sk_c1,sP3_iProver_def) = sP14_iProver_def,
inference(demodulation,[status(thm)],[c_413,c_30038]) ).
cnf(c_30162,plain,
multiply(sk_c6,sP3_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_404,c_30038]) ).
cnf(c_30163,plain,
multiply(sP3_iProver_def,sk_c6) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_403,c_30038]) ).
cnf(c_30164,plain,
multiply(sP3_iProver_def,sk_c7) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_402,c_30038]) ).
cnf(c_30174,plain,
multiply(sP5_iProver_def,sk_c7) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_30162,c_17778]) ).
cnf(c_30175,plain,
multiply(sk_c6,sP3_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_17778,c_30174]) ).
cnf(c_30194,plain,
multiply(sP14_iProver_def,sk_c7) = sP14_iProver_def,
inference(light_normalisation,[status(thm)],[c_30152,c_16768]) ).
cnf(c_30195,plain,
multiply(sk_c1,sP3_iProver_def) = sP14_iProver_def,
inference(demodulation,[status(thm)],[c_16768,c_30194]) ).
cnf(c_31886,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2929,c_82]) ).
cnf(c_31895,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_83,c_31886]) ).
cnf(c_31960,plain,
multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2941,c_31886]) ).
cnf(c_31963,plain,
multiply(inverse(sP13_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2938,c_31886]) ).
cnf(c_31985,plain,
multiply(inverse(sP3_iProver_def),sP4_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_30163,c_31886]) ).
cnf(c_31986,plain,
multiply(inverse(sP3_iProver_def),sP3_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_30164,c_31886]) ).
cnf(c_31999,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_31886,c_31886]) ).
cnf(c_32156,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_31895,c_31999]) ).
cnf(c_32799,plain,
sk_c7 = identity,
inference(demodulation,[status(thm)],[c_31986,c_83]) ).
cnf(c_32848,plain,
multiply(sP10_iProver_def,multiply(sP9_iProver_def,X0)) = multiply(identity,X0),
inference(demodulation,[status(thm)],[c_4143,c_32799]) ).
cnf(c_32857,plain,
multiply(sk_c3,multiply(identity,X0)) = multiply(sP9_iProver_def,X0),
inference(demodulation,[status(thm)],[c_2923,c_32799]) ).
cnf(c_32890,plain,
( multiply(X0,inverse(X0)) != identity
| multiply(inverse(X0),sk_c6) != identity
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_415,c_32799]) ).
cnf(c_33000,plain,
multiply(sk_c3,X0) = multiply(sP9_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_32857,c_82]) ).
cnf(c_33015,plain,
multiply(sP10_iProver_def,multiply(sP9_iProver_def,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_32848,c_82]) ).
cnf(c_34564,plain,
multiply(sP9_iProver_def,identity) = sk_c3,
inference(superposition,[status(thm)],[c_33000,c_32156]) ).
cnf(c_34567,plain,
sk_c3 = sP9_iProver_def,
inference(demodulation,[status(thm)],[c_34564,c_32156]) ).
cnf(c_34576,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_33015,c_31886]) ).
cnf(c_34613,plain,
multiply(sk_c2,sP11_iProver_def) = identity,
inference(superposition,[status(thm)],[c_31960,c_83]) ).
cnf(c_34615,plain,
multiply(sk_c2,identity) = inverse(sP11_iProver_def),
inference(superposition,[status(thm)],[c_31960,c_32156]) ).
cnf(c_34627,plain,
inverse(sP11_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_34615,c_32156]) ).
cnf(c_34864,plain,
multiply(sk_c1,identity) = inverse(sP13_iProver_def),
inference(superposition,[status(thm)],[c_31963,c_32156]) ).
cnf(c_35237,plain,
inverse(sP13_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_34864,c_32156]) ).
cnf(c_36685,plain,
multiply(sP9_iProver_def,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_34576,c_32156]) ).
cnf(c_36686,plain,
inverse(sP10_iProver_def) = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_36685,c_34564,c_34567]) ).
cnf(c_41704,plain,
( ~ sP1_iProver_def
| inverse(sP13_iProver_def) != sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_4496,c_2129,c_4496,c_4870,c_30038]) ).
cnf(c_41705,plain,
( inverse(sP13_iProver_def) != sk_c8
| ~ sP1_iProver_def ),
inference(renaming,[status(thm)],[c_41704]) ).
cnf(c_41706,plain,
( sk_c1 != sP3_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_41705,c_30038,c_35237]) ).
cnf(c_42389,plain,
( ~ sP0_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_9027,c_2296,c_2292,c_5635,c_6210,c_7577,c_7673]) ).
cnf(c_42391,plain,
~ sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_42389,c_2296,c_2292,c_5635,c_7673,c_42389]) ).
cnf(c_42896,plain,
( ~ sP1_iProver_def
| sP5_iProver_def = sP14_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_20771,c_1339,c_1441,c_2129]) ).
cnf(c_43172,plain,
( multiply(inverse(sk_c2),sk_c6) != identity
| multiply(sk_c2,sP11_iProver_def) != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_410,c_32890]) ).
cnf(c_43176,plain,
( multiply(inverse(sP13_iProver_def),sk_c6) != identity
| multiply(sP13_iProver_def,sk_c1) != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_35237,c_32890]) ).
cnf(c_43248,plain,
( multiply(sk_c1,sk_c6) != identity
| multiply(sP13_iProver_def,sk_c1) != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_43176,c_35237]) ).
cnf(c_43249,plain,
( multiply(sk_c1,sk_c6) != identity
| ~ sP2_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_43248,c_1122]) ).
cnf(c_43262,plain,
( multiply(sk_c2,sP11_iProver_def) != identity
| multiply(sP11_iProver_def,sk_c6) != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_43172,c_410]) ).
cnf(c_43263,plain,
( multiply(sP11_iProver_def,sk_c6) != identity
| ~ sP2_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_43262,c_34613]) ).
cnf(c_44599,plain,
( identity != sP4_iProver_def
| ~ sP2_iProver_def
| sP5_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_3597,c_43263]) ).
cnf(c_51314,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_44599,c_43249,c_42896,c_42391,c_41706,c_36686,c_35237,c_34864,c_34627,c_34615,c_32799,c_31985,c_30164,c_30163,c_30175,c_30195,c_30048,c_30038,c_16769,c_449,c_448,c_447,c_446,c_424,c_414]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP298-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n008.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 23:59:28 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 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
% 10.30/2.15 % SZS status Started for theBenchmark.p
% 10.30/2.15 % SZS status Unsatisfiable for theBenchmark.p
% 10.30/2.15
% 10.30/2.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.30/2.15
% 10.30/2.15 ------ iProver source info
% 10.30/2.15
% 10.30/2.15 git: date: 2024-05-02 19:28:25 +0000
% 10.30/2.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.30/2.15 git: non_committed_changes: false
% 10.30/2.15
% 10.30/2.15 ------ Parsing...successful
% 10.30/2.15
% 10.30/2.15
% 10.30/2.15
% 10.30/2.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 10.30/2.15
% 10.30/2.15 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.30/2.15
% 10.30/2.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.30/2.15 ------ Proving...
% 10.30/2.15 ------ Problem Properties
% 10.30/2.15
% 10.30/2.15
% 10.30/2.15 clauses 51
% 10.30/2.15 conjectures 36
% 10.30/2.15 EPR 33
% 10.30/2.15 Horn 18
% 10.30/2.15 unary 15
% 10.30/2.15 binary 32
% 10.30/2.15 lits 94
% 10.30/2.15 lits eq 88
% 10.30/2.15 fd_pure 0
% 10.30/2.15 fd_pseudo 0
% 10.30/2.15 fd_cond 0
% 10.30/2.15 fd_pseudo_cond 0
% 10.30/2.15 AC symbols 0
% 10.30/2.15
% 10.30/2.15 ------ Schedule dynamic 5 is on
% 10.30/2.15
% 10.30/2.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.30/2.15
% 10.30/2.15
% 10.30/2.15 ------
% 10.30/2.15 Current options:
% 10.30/2.15 ------
% 10.30/2.15
% 10.30/2.15
% 10.30/2.15
% 10.30/2.15
% 10.30/2.15 ------ Proving...
% 10.30/2.15
% 10.30/2.15
% 10.30/2.15 % SZS status Unsatisfiable for theBenchmark.p
% 10.30/2.15
% 10.30/2.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.30/2.16
% 10.30/2.16
%------------------------------------------------------------------------------