TSTP Solution File: GRP345-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP345-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 02:22:16 EDT 2024
% Result : Unsatisfiable 8.18s 1.67s
% Output : CNFRefutation 8.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c3,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c4,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_58,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c7) != sk_c6
| multiply(X3,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c7
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6
| inverse(sk_c6) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_81,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_82,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_379,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_79]) ).
cnf(c_380,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_79]) ).
cnf(c_381,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_79]) ).
cnf(c_382,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_79]) ).
cnf(c_383,negated_conjecture,
( multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c7
| inverse(sk_c6) != sk_c5
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79]) ).
cnf(c_384,plain,
multiply(sk_c6,sk_c7) = sP4_iProver_def,
definition ).
cnf(c_385,plain,
multiply(sk_c6,sk_c5) = sP5_iProver_def,
definition ).
cnf(c_386,plain,
inverse(sk_c6) = sP6_iProver_def,
definition ).
cnf(c_387,plain,
multiply(sk_c2,sk_c5) = sP7_iProver_def,
definition ).
cnf(c_388,plain,
inverse(sk_c4) = sP8_iProver_def,
definition ).
cnf(c_389,plain,
multiply(sk_c4,sk_c6) = sP9_iProver_def,
definition ).
cnf(c_390,plain,
inverse(sk_c3) = sP10_iProver_def,
definition ).
cnf(c_391,plain,
multiply(sk_c3,sk_c7) = sP11_iProver_def,
definition ).
cnf(c_392,plain,
inverse(sk_c2) = sP12_iProver_def,
definition ).
cnf(c_393,plain,
multiply(sk_c1,sk_c6) = sP13_iProver_def,
definition ).
cnf(c_394,plain,
inverse(sk_c1) = sP14_iProver_def,
definition ).
cnf(c_395,negated_conjecture,
( sP4_iProver_def != sk_c5
| sP5_iProver_def != sk_c7
| sP6_iProver_def != sk_c5
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_383,c_386,c_385,c_384]) ).
cnf(c_396,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_382]) ).
cnf(c_397,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_381]) ).
cnf(c_398,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_380]) ).
cnf(c_399,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_379]) ).
cnf(c_400,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_78,c_388,c_387]) ).
cnf(c_401,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP9_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_77,c_389]) ).
cnf(c_402,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_76]) ).
cnf(c_403,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_75,c_390]) ).
cnf(c_404,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP11_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_74,c_391]) ).
cnf(c_405,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_406,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP12_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_72,c_392]) ).
cnf(c_407,negated_conjecture,
( sP9_iProver_def = sk_c5
| sP12_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_408,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP12_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_411,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP12_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_412,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP13_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_66,c_393]) ).
cnf(c_413,negated_conjecture,
( sP9_iProver_def = sk_c5
| sP13_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_414,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP13_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_417,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP13_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_418,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_60,c_394]) ).
cnf(c_419,negated_conjecture,
( sP9_iProver_def = sk_c5
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_420,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_423,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_424,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_425,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP9_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_426,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP6_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_427,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_428,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP11_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_429,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP5_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_728,plain,
( multiply(sP8_iProver_def,sk_c5) = sP5_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_400,c_385]) ).
cnf(c_729,plain,
( multiply(sk_c6,sP9_iProver_def) = sP5_iProver_def
| sk_c6 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_407,c_385]) ).
cnf(c_761,plain,
( sk_c6 = sP12_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_408,c_407]) ).
cnf(c_873,plain,
( sk_c7 = sP13_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_414,c_413]) ).
cnf(c_928,plain,
( multiply(sk_c4,sP12_iProver_def) = sP9_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_406,c_389]) ).
cnf(c_988,plain,
multiply(sP10_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_390,c_81]) ).
cnf(c_989,plain,
multiply(sP6_iProver_def,sk_c6) = identity,
inference(superposition,[status(thm)],[c_386,c_81]) ).
cnf(c_990,plain,
multiply(sP8_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_388,c_81]) ).
cnf(c_991,plain,
multiply(sP14_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_394,c_81]) ).
cnf(c_992,plain,
multiply(sP12_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_392,c_81]) ).
cnf(c_1118,plain,
( multiply(sk_c3,sP14_iProver_def) = sP11_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_418,c_391]) ).
cnf(c_1213,plain,
( sk_c7 = sP14_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_420,c_419]) ).
cnf(c_1420,plain,
( multiply(sk_c2,sP4_iProver_def) = sP7_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_424,c_387]) ).
cnf(c_1516,plain,
( sk_c5 = sP4_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_426,c_425]) ).
cnf(c_2061,plain,
( inverse(sk_c4) != sk_c7
| sk_c7 != sP9_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_389,c_396]) ).
cnf(c_2062,plain,
( inverse(sk_c1) != sk_c7
| sk_c7 != sP13_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_393,c_396]) ).
cnf(c_2079,plain,
( sk_c7 != sP13_iProver_def
| sk_c7 != sP14_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2062,c_394]) ).
cnf(c_2083,plain,
( sk_c7 != sP8_iProver_def
| sk_c7 != sP9_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2061,c_388]) ).
cnf(c_2143,plain,
( inverse(sk_c4) != sk_c6
| sk_c5 != sP9_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_389,c_397]) ).
cnf(c_2147,plain,
( inverse(sP6_iProver_def) != sk_c6
| sk_c5 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_989,c_397]) ).
cnf(c_2165,plain,
( sk_c6 != sP8_iProver_def
| sk_c5 != sP9_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2143,c_388]) ).
cnf(c_2241,plain,
( inverse(sk_c2) != sk_c6
| sk_c6 != sP7_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_387,c_398]) ).
cnf(c_2261,plain,
( sk_c6 != sP7_iProver_def
| sk_c6 != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2241,c_392]) ).
cnf(c_2384,plain,
( inverse(identity) != sk_c7
| sk_c6 != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_80,c_399]) ).
cnf(c_2385,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c6 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_81,c_399]) ).
cnf(c_2736,plain,
( inverse(sP12_iProver_def) = sP6_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_761,c_386]) ).
cnf(c_2983,plain,
multiply(sk_c4,multiply(sk_c6,X0)) = multiply(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_389,c_82]) ).
cnf(c_2984,plain,
multiply(sk_c1,multiply(sk_c6,X0)) = multiply(sP13_iProver_def,X0),
inference(superposition,[status(thm)],[c_393,c_82]) ).
cnf(c_2987,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_2989,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_988,c_82]) ).
cnf(c_2990,plain,
multiply(sP6_iProver_def,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_989,c_82]) ).
cnf(c_2991,plain,
multiply(sP8_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_990,c_82]) ).
cnf(c_2992,plain,
multiply(sP14_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_991,c_82]) ).
cnf(c_2993,plain,
multiply(sP12_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_992,c_82]) ).
cnf(c_2999,plain,
multiply(sP12_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2993,c_80]) ).
cnf(c_3000,plain,
multiply(sP14_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2992,c_80]) ).
cnf(c_3001,plain,
multiply(sP8_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2991,c_80]) ).
cnf(c_3002,plain,
multiply(sP6_iProver_def,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2990,c_80]) ).
cnf(c_3003,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2989,c_80]) ).
cnf(c_3242,plain,
( sP6_iProver_def = sP9_iProver_def
| sP13_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1213,c_873]) ).
cnf(c_3684,plain,
( multiply(sk_c2,sP4_iProver_def) = sP7_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1516,c_387]) ).
cnf(c_4097,plain,
multiply(sP12_iProver_def,sP7_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_387,c_2999]) ).
cnf(c_4112,plain,
multiply(sP14_iProver_def,sP13_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_393,c_3000]) ).
cnf(c_4163,plain,
multiply(sP8_iProver_def,sP9_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_389,c_3001]) ).
cnf(c_4168,plain,
multiply(sP6_iProver_def,sP4_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_384,c_3002]) ).
cnf(c_4169,plain,
multiply(sP6_iProver_def,sP5_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_385,c_3002]) ).
cnf(c_4497,plain,
( multiply(sP8_iProver_def,sP9_iProver_def) = sP5_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_401,c_728]) ).
cnf(c_4500,plain,
( sk_c6 = sP5_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4497,c_4163]) ).
cnf(c_4550,plain,
( multiply(sP6_iProver_def,sP5_iProver_def) = sP9_iProver_def
| sk_c6 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_729,c_3002]) ).
cnf(c_4551,plain,
( sk_c6 = sP12_iProver_def
| sk_c5 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4550,c_4169]) ).
cnf(c_4712,plain,
multiply(sP10_iProver_def,sP11_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_391,c_3003]) ).
cnf(c_4721,plain,
( multiply(sP13_iProver_def,sP13_iProver_def) = sk_c6
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_3242,c_4112]) ).
cnf(c_5727,plain,
( multiply(sP8_iProver_def,sP9_iProver_def) = sP12_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_928,c_3001]) ).
cnf(c_5728,plain,
( sk_c6 = sP8_iProver_def
| sk_c6 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5727,c_4163]) ).
cnf(c_6496,plain,
( multiply(sP10_iProver_def,sP11_iProver_def) = sP14_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1118,c_3003]) ).
cnf(c_6497,plain,
( sk_c6 = sP8_iProver_def
| sk_c7 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6496,c_4712]) ).
cnf(c_9344,plain,
multiply(sk_c4,sP4_iProver_def) = multiply(sP9_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_384,c_2983]) ).
cnf(c_9345,plain,
multiply(sk_c4,sP5_iProver_def) = multiply(sP9_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_385,c_2983]) ).
cnf(c_11072,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2987,c_80]) ).
cnf(c_11096,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_11072]) ).
cnf(c_11097,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_11072]) ).
cnf(c_11177,plain,
multiply(inverse(sP12_iProver_def),identity) = sk_c2,
inference(superposition,[status(thm)],[c_992,c_11072]) ).
cnf(c_11232,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_3003,c_11072]) ).
cnf(c_11233,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_3002,c_11072]) ).
cnf(c_11234,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_3001,c_11072]) ).
cnf(c_11235,plain,
multiply(inverse(sP14_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_3000,c_11072]) ).
cnf(c_11236,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2999,c_11072]) ).
cnf(c_11274,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_11072,c_11072]) ).
cnf(c_11800,plain,
( inverse(inverse(identity)) != sk_c6
| sk_c6 != sk_c5
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_11096,c_398]) ).
cnf(c_11827,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_11097,c_11274]) ).
cnf(c_11852,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_11827,c_11096]) ).
cnf(c_11919,plain,
( sk_c7 != sP14_iProver_def
| ~ sP3_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_412,c_2079]) ).
cnf(c_12031,plain,
( ~ sP3_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_11919,c_6497,c_11919]) ).
cnf(c_12438,plain,
( sk_c6 != sP12_iProver_def
| ~ sP1_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_4500,c_2261]) ).
cnf(c_12947,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| inverse(inverse(sP10_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_11232,c_396]) ).
cnf(c_12948,plain,
multiply(sk_c3,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11232,c_81]) ).
cnf(c_12951,plain,
( multiply(sk_c3,sk_c7) != sk_c6
| inverse(inverse(sP10_iProver_def)) != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_11232,c_399]) ).
cnf(c_12954,plain,
multiply(sk_c3,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_11232,c_11827]) ).
cnf(c_12958,plain,
( inverse(inverse(sP10_iProver_def)) != sk_c7
| sk_c6 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12951,c_391]) ).
cnf(c_13665,plain,
inverse(sP10_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_12954,c_11827]) ).
cnf(c_13700,plain,
( multiply(sk_c6,sk_c6) != sk_c5
| inverse(inverse(sP6_iProver_def)) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_11233,c_397]) ).
cnf(c_13702,plain,
multiply(sk_c6,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11233,c_81]) ).
cnf(c_13706,plain,
( multiply(sk_c6,sk_c5) != sk_c6
| inverse(inverse(sP6_iProver_def)) != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_11233,c_398]) ).
cnf(c_13707,plain,
multiply(sk_c6,multiply(sP6_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_11233,c_11072]) ).
cnf(c_13708,plain,
multiply(sk_c6,identity) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_11233,c_11827]) ).
cnf(c_13709,plain,
( inverse(inverse(sP6_iProver_def)) != sk_c6
| sk_c6 != sP5_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13706,c_385]) ).
cnf(c_13803,plain,
( multiply(sP12_iProver_def,sP6_iProver_def) = identity
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_406,c_13702]) ).
cnf(c_13808,plain,
multiply(sk_c1,identity) = multiply(sP13_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_13702,c_2984]) ).
cnf(c_13809,plain,
multiply(sk_c4,identity) = multiply(sP9_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_13702,c_2983]) ).
cnf(c_14435,plain,
inverse(sP6_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_13708,c_11827]) ).
cnf(c_15127,plain,
( multiply(inverse(sP12_iProver_def),identity) = sP6_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_13803,c_11072]) ).
cnf(c_15129,plain,
( sk_c6 = sP8_iProver_def
| sk_c2 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15127,c_11177]) ).
cnf(c_15635,plain,
multiply(sP13_iProver_def,sP6_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_13808,c_11827]) ).
cnf(c_15643,plain,
multiply(sP9_iProver_def,sP6_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_13809,c_11827]) ).
cnf(c_16603,plain,
( multiply(sP6_iProver_def,sP4_iProver_def) = sP7_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_15129,c_1420]) ).
cnf(c_16617,plain,
( sk_c6 = sP8_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16603,c_4168]) ).
cnf(c_23107,plain,
( multiply(sk_c4,sk_c6) != sk_c5
| inverse(inverse(sP8_iProver_def)) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_11234,c_397]) ).
cnf(c_23109,plain,
multiply(sk_c4,sP8_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11234,c_81]) ).
cnf(c_23113,plain,
( multiply(sk_c4,sk_c5) != sk_c6
| inverse(inverse(sP8_iProver_def)) != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_11234,c_398]) ).
cnf(c_23115,plain,
multiply(sk_c4,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_11234,c_11827]) ).
cnf(c_23132,plain,
( inverse(inverse(sP8_iProver_def)) != sk_c6
| sk_c5 != sP9_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_23107,c_389]) ).
cnf(c_23250,plain,
inverse(sP8_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_23115,c_11827]) ).
cnf(c_23889,plain,
( sk_c6 != sk_c6
| sk_c5 != identity
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_2147,c_14435]) ).
cnf(c_23890,plain,
( sk_c5 != identity
| ~ sP2_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_23889]) ).
cnf(c_23922,plain,
( identity != sP6_iProver_def
| ~ sP2_iProver_def
| sk_c6 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_408,c_23890]) ).
cnf(c_24469,plain,
multiply(sk_c1,sP14_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11235,c_81]) ).
cnf(c_24475,plain,
multiply(sk_c1,identity) = inverse(sP14_iProver_def),
inference(superposition,[status(thm)],[c_11235,c_11827]) ).
cnf(c_24624,plain,
inverse(sP14_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_24475,c_11827]) ).
cnf(c_24737,plain,
( ~ sP2_iProver_def
| sk_c6 = sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_23922,c_2165,c_4551,c_5728]) ).
cnf(c_27938,plain,
( sk_c6 != sk_c7
| sk_c7 != identity
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2384,c_11852]) ).
cnf(c_27945,plain,
( sk_c6 != sP7_iProver_def
| sk_c7 != identity
| ~ sP0_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_16617,c_27938]) ).
cnf(c_28441,plain,
( multiply(sk_c2,sk_c6) != sk_c5
| inverse(inverse(sP12_iProver_def)) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_11236,c_397]) ).
cnf(c_28449,plain,
multiply(sk_c2,identity) = inverse(sP12_iProver_def),
inference(superposition,[status(thm)],[c_11236,c_11827]) ).
cnf(c_28535,plain,
inverse(sP12_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_28449,c_11827]) ).
cnf(c_28540,plain,
( sk_c2 = sP6_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_2736,c_28535]) ).
cnf(c_29531,plain,
( multiply(sP6_iProver_def,sP4_iProver_def) = sP7_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_28540,c_3684]) ).
cnf(c_29549,plain,
( multiply(sP6_iProver_def,sk_c5) = sP7_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_28540,c_387]) ).
cnf(c_29554,plain,
( sk_c7 = sP7_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_29531,c_4168]) ).
cnf(c_30096,plain,
( sk_c6 != sP7_iProver_def
| sk_c7 != identity
| ~ sP0_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_29554,c_27938]) ).
cnf(c_30107,plain,
( sk_c7 != sP14_iProver_def
| sP7_iProver_def != sP13_iProver_def
| ~ sP3_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_29554,c_2079]) ).
cnf(c_30136,plain,
( sP6_iProver_def = sP9_iProver_def
| sP7_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_29554,c_1213]) ).
cnf(c_30137,plain,
( sP6_iProver_def = sP9_iProver_def
| sP7_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_29554,c_873]) ).
cnf(c_30663,plain,
( inverse(sP7_iProver_def) = sk_c1
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_30136,c_24624]) ).
cnf(c_30664,plain,
( multiply(sk_c1,sP7_iProver_def) = identity
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_30136,c_24469]) ).
cnf(c_30826,plain,
( multiply(sP7_iProver_def,sP6_iProver_def) = sk_c1
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_30137,c_15635]) ).
cnf(c_30830,plain,
( multiply(sP7_iProver_def,sP7_iProver_def) = sk_c6
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_30137,c_4721]) ).
cnf(c_35387,plain,
( inverse(sP6_iProver_def) != sk_c6
| sk_c6 != sP7_iProver_def
| ~ sP1_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_29549,c_398]) ).
cnf(c_35392,plain,
( multiply(sk_c6,sP7_iProver_def) = sk_c5
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_29549,c_13707]) ).
cnf(c_35406,plain,
( sk_c6 != sP7_iProver_def
| ~ sP1_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_35387,c_14435]) ).
cnf(c_36588,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_35406,c_35392,c_30830,c_30826,c_30664,c_30663,c_30107,c_30096,c_30137,c_28535,c_28441,c_27945,c_24737,c_23250,c_23132,c_23113,c_23109,c_15643,c_14435,c_13709,c_13700,c_13708,c_13702,c_13665,c_12958,c_12947,c_12954,c_12948,c_12438,c_12031,c_11852,c_11800,c_9345,c_9344,c_5728,c_4168,c_4112,c_4097,c_2385,c_2083,c_1213,c_429,c_428,c_427,c_426,c_425,c_424,c_423,c_420,c_417,c_414,c_411,c_408,c_405,c_404,c_403,c_402,c_401,c_400,c_395,c_393,c_392,c_391,c_390,c_389,c_388,c_387,c_386,c_385,c_384]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP345-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 00:00:36 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 8.18/1.67 % SZS status Started for theBenchmark.p
% 8.18/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 8.18/1.67
% 8.18/1.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.18/1.67
% 8.18/1.67 ------ iProver source info
% 8.18/1.67
% 8.18/1.67 git: date: 2024-05-02 19:28:25 +0000
% 8.18/1.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.18/1.67 git: non_committed_changes: false
% 8.18/1.67
% 8.18/1.67 ------ Parsing...successful
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% 8.18/1.67
% 8.18/1.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.18/1.67
% 8.18/1.67 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.18/1.67
% 8.18/1.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.18/1.67 ------ Proving...
% 8.18/1.67 ------ Problem Properties
% 8.18/1.67
% 8.18/1.67
% 8.18/1.67 clauses 49
% 8.18/1.67 conjectures 35
% 8.18/1.67 EPR 31
% 8.18/1.67 Horn 18
% 8.18/1.67 unary 14
% 8.18/1.67 binary 30
% 8.18/1.67 lits 93
% 8.18/1.67 lits eq 85
% 8.18/1.67 fd_pure 0
% 8.18/1.67 fd_pseudo 0
% 8.18/1.67 fd_cond 0
% 8.18/1.67 fd_pseudo_cond 0
% 8.18/1.67 AC symbols 0
% 8.18/1.67
% 8.18/1.67 ------ Schedule dynamic 5 is on
% 8.18/1.67
% 8.18/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
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% 8.18/1.67
% 8.18/1.67 ------
% 8.18/1.67 Current options:
% 8.18/1.67 ------
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% 8.18/1.67 ------ Proving...
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% 8.18/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 8.18/1.67
% 8.18/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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%------------------------------------------------------------------------------