TSTP Solution File: GRP368-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP368-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 02:22:21 EDT 2024
% Result : Unsatisfiable 10.27s 2.18s
% Output : CNFRefutation 10.27s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c2
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c2
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_67,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c3,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c3,sk_c5) = sk_c7
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c3,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c3,sk_c5) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| multiply(sk_c3,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,sk_c7) != X1
| multiply(X2,sk_c5) != sk_c7
| multiply(X3,sk_c6) != sk_c7
| multiply(sk_c7,X1) != sk_c6
| multiply(sk_c5,sk_c7) != sk_c6
| multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| inverse(X2) != sk_c5
| inverse(X3) != sk_c7
| inverse(sk_c6) != sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_81,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_82,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| multiply(X1,sk_c5) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(sk_c5,sk_c7) != sk_c6
| multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| inverse(X1) != sk_c5
| inverse(X2) != sk_c7
| inverse(sk_c6) != sk_c5 ),
inference(unflattening,[status(thm)],[c_79]) ).
cnf(c_376,negated_conjecture,
( multiply(X0,sk_c5) != sk_c7
| inverse(X0) != sk_c5
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_83]) ).
cnf(c_377,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_83]) ).
cnf(c_378,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_83]) ).
cnf(c_379,negated_conjecture,
( multiply(sk_c5,sk_c7) != sk_c6
| multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c6) != sk_c5
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).
cnf(c_380,plain,
multiply(sk_c5,sk_c7) = sP3_iProver_def,
definition ).
cnf(c_381,plain,
multiply(sk_c7,sk_c5) = sP4_iProver_def,
definition ).
cnf(c_382,plain,
multiply(sk_c6,sk_c7) = sP5_iProver_def,
definition ).
cnf(c_383,plain,
inverse(sk_c6) = sP6_iProver_def,
definition ).
cnf(c_384,plain,
multiply(sk_c4,sk_c6) = sP7_iProver_def,
definition ).
cnf(c_385,plain,
inverse(sk_c3) = sP8_iProver_def,
definition ).
cnf(c_386,plain,
inverse(sk_c4) = sP9_iProver_def,
definition ).
cnf(c_387,plain,
multiply(sk_c3,sk_c5) = sP10_iProver_def,
definition ).
cnf(c_388,plain,
inverse(sk_c1) = sP11_iProver_def,
definition ).
cnf(c_389,plain,
multiply(sk_c1,sk_c7) = sP12_iProver_def,
definition ).
cnf(c_390,plain,
multiply(sk_c7,sk_c2) = sP13_iProver_def,
definition ).
cnf(c_391,negated_conjecture,
( sP3_iProver_def != sk_c6
| sP4_iProver_def != sk_c6
| sP5_iProver_def != sk_c5
| sP6_iProver_def != sk_c5
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_379,c_383,c_382,c_381,c_380]) ).
cnf(c_392,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_378]) ).
cnf(c_393,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_377]) ).
cnf(c_394,negated_conjecture,
( multiply(X0,sk_c5) != sk_c7
| inverse(X0) != sk_c5
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_376]) ).
cnf(c_395,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP8_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_78,c_385,c_384]) ).
cnf(c_396,negated_conjecture,
( sP8_iProver_def = sk_c5
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_77,c_386]) ).
cnf(c_397,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP8_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_76]) ).
cnf(c_398,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP8_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_75]) ).
cnf(c_399,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP8_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_400,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_73,c_387]) ).
cnf(c_401,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_402,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_403,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_404,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_405,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_68,c_388]) ).
cnf(c_406,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_408,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_409,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_410,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_63,c_389]) ).
cnf(c_411,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_413,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_415,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_58,c_390]) ).
cnf(c_416,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_418,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_419,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_420,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP7_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_421,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_423,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP6_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_424,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP5_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_425,plain,
X0 = X0,
theory(equality) ).
cnf(c_426,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_663,plain,
( multiply(sP8_iProver_def,sk_c7) = sP3_iProver_def
| sk_c5 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_399,c_380]) ).
cnf(c_664,plain,
( multiply(sP8_iProver_def,sk_c7) = sP3_iProver_def
| sk_c5 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_398,c_380]) ).
cnf(c_690,plain,
( multiply(sk_c7,sP8_iProver_def) = sP4_iProver_def
| sk_c5 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_398,c_381]) ).
cnf(c_692,plain,
( multiply(sk_c7,sP8_iProver_def) = sP4_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_396,c_381]) ).
cnf(c_693,plain,
( multiply(sk_c7,sP8_iProver_def) = sP4_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_395,c_381]) ).
cnf(c_709,plain,
( multiply(sk_c6,sP10_iProver_def) = sP5_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_401,c_382]) ).
cnf(c_710,plain,
( multiply(sk_c6,sP10_iProver_def) = sP5_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_400,c_382]) ).
cnf(c_717,plain,
( multiply(sk_c4,sP4_iProver_def) = sP7_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_402,c_384]) ).
cnf(c_765,plain,
( sk_c7 = sP10_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_404,c_403]) ).
cnf(c_767,plain,
( multiply(sP5_iProver_def,sk_c7) = sP3_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_404,c_380]) ).
cnf(c_804,plain,
( sk_c7 = sP7_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_405,c_400]) ).
cnf(c_825,plain,
( sk_c7 = sP9_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_406,c_401]) ).
cnf(c_835,plain,
( sk_c6 != X0
| sP3_iProver_def != X0
| sP3_iProver_def = sk_c6 ),
inference(instantiation,[status(thm)],[c_426]) ).
cnf(c_901,plain,
( X0 != X1
| sk_c6 != X1
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_426]) ).
cnf(c_916,plain,
( sk_c7 = sP11_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_409,c_408]) ).
cnf(c_965,plain,
( multiply(sk_c3,sP6_iProver_def) = sP10_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_408,c_387]) ).
cnf(c_967,plain,
( multiply(sk_c3,sP6_iProver_def) = sP10_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_403,c_387]) ).
cnf(c_968,plain,
( multiply(sk_c3,sP8_iProver_def) = sP10_iProver_def
| sk_c5 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_399,c_387]) ).
cnf(c_969,plain,
( multiply(sk_c3,sP8_iProver_def) = sP10_iProver_def
| sk_c5 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_398,c_387]) ).
cnf(c_970,plain,
( multiply(sk_c3,sP8_iProver_def) = sP10_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_397,c_387]) ).
cnf(c_971,plain,
( multiply(sk_c3,sP8_iProver_def) = sP10_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_396,c_387]) ).
cnf(c_972,plain,
( multiply(sk_c3,sP8_iProver_def) = sP10_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_395,c_387]) ).
cnf(c_1021,plain,
( multiply(sP11_iProver_def,sk_c2) = sP13_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_406,c_390]) ).
cnf(c_1022,plain,
( multiply(sP11_iProver_def,sk_c2) = sP13_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_405,c_390]) ).
cnf(c_1046,plain,
multiply(sP6_iProver_def,sk_c6) = identity,
inference(superposition,[status(thm)],[c_383,c_81]) ).
cnf(c_1047,plain,
multiply(sP9_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_386,c_81]) ).
cnf(c_1048,plain,
multiply(sP11_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_388,c_81]) ).
cnf(c_1049,plain,
multiply(sP8_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_385,c_81]) ).
cnf(c_1070,plain,
( multiply(sP6_iProver_def,sP4_iProver_def) = identity
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_402,c_1046]) ).
cnf(c_1086,plain,
( multiply(sk_c7,sP12_iProver_def) = sP13_iProver_def
| sk_c5 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_413,c_390]) ).
cnf(c_1160,plain,
sP3_iProver_def = sP3_iProver_def,
inference(instantiation,[status(thm)],[c_425]) ).
cnf(c_1161,plain,
( X0 != X1
| sP3_iProver_def != X1
| sP3_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_426]) ).
cnf(c_1209,plain,
( multiply(sk_c3,sP6_iProver_def) = sP10_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_418,c_387]) ).
cnf(c_1278,plain,
( sk_c6 = sP13_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_419,c_418]) ).
cnf(c_1279,plain,
( multiply(sk_c3,sP5_iProver_def) = sP10_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_419,c_387]) ).
cnf(c_1338,plain,
( sk_c7 = sP7_iProver_def
| sP3_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_420,c_415]) ).
cnf(c_1408,plain,
( sk_c7 = sP9_iProver_def
| sP3_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_421,c_416]) ).
cnf(c_1562,plain,
( multiply(sk_c3,sP6_iProver_def) = sP10_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_423,c_387]) ).
cnf(c_1628,plain,
( sk_c6 = sP3_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_424,c_423]) ).
cnf(c_1630,plain,
( multiply(sk_c3,sP5_iProver_def) = sP10_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_424,c_387]) ).
cnf(c_1693,plain,
( multiply(sP10_iProver_def,sk_c2) = sP13_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_765,c_390]) ).
cnf(c_1697,plain,
( multiply(sk_c6,sP10_iProver_def) = sP5_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_765,c_382]) ).
cnf(c_1823,plain,
( sP7_iProver_def = sP9_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_825,c_804]) ).
cnf(c_1884,plain,
( multiply(sk_c1,sP11_iProver_def) = sP12_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_916,c_389]) ).
cnf(c_1948,plain,
( inverse(sk_c4) != sk_c7
| sk_c7 != sP7_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_384,c_393]) ).
cnf(c_1966,plain,
( sk_c7 != sP7_iProver_def
| sk_c7 != sP9_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1948,c_386]) ).
cnf(c_2045,plain,
( inverse(identity) != sk_c5
| sk_c5 != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_80,c_394]) ).
cnf(c_2199,plain,
( multiply(sk_c7,sk_c7) != sk_c6
| inverse(identity) != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_80,c_392]) ).
cnf(c_2200,plain,
( multiply(sk_c7,identity) != sk_c6
| inverse(inverse(sk_c7)) != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_81,c_392]) ).
cnf(c_2353,plain,
( sk_c5 != sP5_iProver_def
| sk_c5 != sP6_iProver_def
| sk_c6 != sP4_iProver_def
| sP3_iProver_def != sP4_iProver_def
| sk_c7 = sP10_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_402,c_391]) ).
cnf(c_2558,plain,
( sP3_iProver_def = sP13_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1408,c_1338]) ).
cnf(c_2648,plain,
( inverse(sP3_iProver_def) = sP6_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_1628,c_383]) ).
cnf(c_2693,plain,
( multiply(sP8_iProver_def,sP9_iProver_def) = sP3_iProver_def
| sk_c5 = sP5_iProver_def
| sP3_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1408,c_663]) ).
cnf(c_2698,plain,
( multiply(sP8_iProver_def,sP10_iProver_def) = sP3_iProver_def
| sk_c5 = sP5_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_765,c_663]) ).
cnf(c_2748,plain,
( X0 != sk_c6
| sP3_iProver_def != sk_c6
| sP3_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1161]) ).
cnf(c_2759,plain,
multiply(sk_c5,multiply(sk_c7,X0)) = multiply(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_380,c_82]) ).
cnf(c_2760,plain,
multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_382,c_82]) ).
cnf(c_2761,plain,
multiply(sk_c7,multiply(sk_c5,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_381,c_82]) ).
cnf(c_2762,plain,
multiply(sk_c4,multiply(sk_c6,X0)) = multiply(sP7_iProver_def,X0),
inference(superposition,[status(thm)],[c_384,c_82]) ).
cnf(c_2765,plain,
multiply(sk_c3,multiply(sk_c5,X0)) = multiply(sP10_iProver_def,X0),
inference(superposition,[status(thm)],[c_387,c_82]) ).
cnf(c_2767,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_2770,plain,
multiply(sP6_iProver_def,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1046,c_82]) ).
cnf(c_2771,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1047,c_82]) ).
cnf(c_2772,plain,
multiply(sP11_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1048,c_82]) ).
cnf(c_2773,plain,
multiply(sP8_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1049,c_82]) ).
cnf(c_2778,plain,
multiply(sP8_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2773,c_80]) ).
cnf(c_2779,plain,
multiply(sP11_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2772,c_80]) ).
cnf(c_2780,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2771,c_80]) ).
cnf(c_2781,plain,
multiply(sP6_iProver_def,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2770,c_80]) ).
cnf(c_2842,plain,
( X0 != sP13_iProver_def
| sk_c6 != sP13_iProver_def
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_901]) ).
cnf(c_2849,plain,
( sk_c6 != sP3_iProver_def
| sP3_iProver_def != sP3_iProver_def
| sP3_iProver_def = sk_c6 ),
inference(instantiation,[status(thm)],[c_835]) ).
cnf(c_2855,plain,
multiply(sP8_iProver_def,sP10_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_387,c_2778]) ).
cnf(c_2873,plain,
multiply(sP11_iProver_def,sP12_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_389,c_2779]) ).
cnf(c_2904,plain,
( multiply(sP10_iProver_def,sk_c1) = identity
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1823,c_1048]) ).
cnf(c_3034,plain,
( multiply(sP8_iProver_def,sP10_iProver_def) = sP3_iProver_def
| sk_c5 = sP6_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_765,c_664]) ).
cnf(c_3057,plain,
( sk_c5 = sP3_iProver_def
| sk_c5 = sP6_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3034,c_2855]) ).
cnf(c_3112,plain,
multiply(sP9_iProver_def,sP7_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_384,c_2780]) ).
cnf(c_3124,plain,
multiply(sP6_iProver_def,sP5_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_382,c_2781]) ).
cnf(c_3131,plain,
( multiply(sP6_iProver_def,multiply(sP13_iProver_def,X0)) = X0
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_416,c_2781]) ).
cnf(c_3132,plain,
( multiply(sP6_iProver_def,multiply(sP13_iProver_def,X0)) = X0
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_415,c_2781]) ).
cnf(c_3195,plain,
multiply(sP6_iProver_def,multiply(sP5_iProver_def,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3124,c_82]) ).
cnf(c_4656,plain,
( multiply(sP6_iProver_def,sP5_iProver_def) = sP10_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_709,c_2781]) ).
cnf(c_4657,plain,
( sk_c7 = sP9_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4656,c_3124]) ).
cnf(c_4699,plain,
( multiply(sP6_iProver_def,sP5_iProver_def) = sP10_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_710,c_2781]) ).
cnf(c_4700,plain,
( sk_c7 = sP7_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4699,c_3124]) ).
cnf(c_4721,plain,
( multiply(sP9_iProver_def,sP7_iProver_def) = sP4_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_717,c_2780]) ).
cnf(c_4722,plain,
( sk_c7 = sP10_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4721,c_3112]) ).
cnf(c_4997,plain,
( sk_c6 != sP13_iProver_def
| sP13_iProver_def != sP13_iProver_def
| sP13_iProver_def = sk_c6 ),
inference(instantiation,[status(thm)],[c_2842]) ).
cnf(c_4998,plain,
sP13_iProver_def = sP13_iProver_def,
inference(instantiation,[status(thm)],[c_425]) ).
cnf(c_5905,plain,
( multiply(sP8_iProver_def,sP10_iProver_def) = sP6_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_965,c_2778]) ).
cnf(c_5906,plain,
( sk_c5 = sP6_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5905,c_2855]) ).
cnf(c_5929,plain,
( multiply(sP8_iProver_def,sP10_iProver_def) = sP6_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_967,c_2778]) ).
cnf(c_5930,plain,
( sk_c5 = sP6_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5929,c_2855]) ).
cnf(c_6266,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP13_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_411,c_1021]) ).
cnf(c_6269,plain,
( sk_c7 = sP9_iProver_def
| sk_c7 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6266,c_2873]) ).
cnf(c_6314,plain,
( multiply(sP13_iProver_def,sP8_iProver_def) = sP4_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_6269,c_692]) ).
cnf(c_6334,plain,
( sk_c7 = sP9_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_6269,c_406]) ).
cnf(c_6339,plain,
( sk_c7 = sP9_iProver_def
| sP10_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_6269,c_401]) ).
cnf(c_6408,plain,
( sP3_iProver_def != sk_c6
| sP13_iProver_def != sk_c6
| sP3_iProver_def = sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_2748]) ).
cnf(c_7120,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP13_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_410,c_1022]) ).
cnf(c_7122,plain,
( sk_c7 = sP7_iProver_def
| sk_c7 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7120,c_2873]) ).
cnf(c_7470,plain,
( multiply(sP13_iProver_def,sP8_iProver_def) = sP4_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_7122,c_693]) ).
cnf(c_7492,plain,
( sk_c7 = sP7_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_7122,c_405]) ).
cnf(c_7497,plain,
( sk_c7 = sP7_iProver_def
| sP10_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_7122,c_400]) ).
cnf(c_7621,plain,
( sP7_iProver_def = sP9_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_7492,c_6334]) ).
cnf(c_7882,plain,
( sP7_iProver_def = sP9_iProver_def
| sP10_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_7497,c_6339]) ).
cnf(c_8362,plain,
( sP3_iProver_def = sP11_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_7621,c_2558]) ).
cnf(c_8898,plain,
( multiply(sP8_iProver_def,sP10_iProver_def) = sP6_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1209,c_2778]) ).
cnf(c_8899,plain,
( sk_c5 = sP6_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8898,c_2855]) ).
cnf(c_9004,plain,
( sP3_iProver_def = sP10_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_7882,c_2558]) ).
cnf(c_9370,plain,
( multiply(sP8_iProver_def,sP10_iProver_def) = sP5_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1279,c_2778]) ).
cnf(c_9371,plain,
( sk_c5 = sP5_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9370,c_2855]) ).
cnf(c_9932,plain,
( multiply(sP8_iProver_def,sP10_iProver_def) = sP6_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_1562,c_2778]) ).
cnf(c_9933,plain,
( sk_c5 = sP6_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9932,c_2855]) ).
cnf(c_10165,plain,
( multiply(sP8_iProver_def,sP10_iProver_def) = sP5_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_1630,c_2778]) ).
cnf(c_10166,plain,
( sk_c5 = sP5_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10165,c_2855]) ).
cnf(c_12111,plain,
multiply(sk_c5,sP4_iProver_def) = multiply(sP3_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_381,c_2759]) ).
cnf(c_12614,plain,
multiply(sk_c6,sP4_iProver_def) = multiply(sP5_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_381,c_2760]) ).
cnf(c_12818,plain,
( multiply(sP4_iProver_def,sP4_iProver_def) = multiply(sP5_iProver_def,sk_c5)
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_402,c_12614]) ).
cnf(c_13132,plain,
multiply(sk_c7,sP3_iProver_def) = multiply(sP4_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_380,c_2761]) ).
cnf(c_13338,plain,
multiply(sk_c6,multiply(sP4_iProver_def,sk_c7)) = multiply(sP5_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_13132,c_2760]) ).
cnf(c_13460,plain,
multiply(sk_c4,sP5_iProver_def) = multiply(sP7_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_382,c_2762]) ).
cnf(c_13473,plain,
multiply(sk_c4,multiply(sP5_iProver_def,sk_c5)) = multiply(sP7_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_12614,c_2762]) ).
cnf(c_13888,plain,
multiply(sk_c3,sP3_iProver_def) = multiply(sP10_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_380,c_2765]) ).
cnf(c_13901,plain,
multiply(sk_c3,multiply(sP3_iProver_def,sk_c5)) = multiply(sP10_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_12111,c_2765]) ).
cnf(c_14125,plain,
( multiply(sk_c7,sk_c7) = multiply(sP6_iProver_def,sP3_iProver_def)
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_767,c_3195]) ).
cnf(c_15941,plain,
( sk_c5 = sP5_iProver_def
| sP3_iProver_def = sP13_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2693,c_1160,c_2849,c_4997,c_4998,c_6408,c_9371,c_10166]) ).
cnf(c_16012,plain,
( sk_c5 = sP6_iProver_def
| sP3_iProver_def = sP13_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_15941,c_398]) ).
cnf(c_17096,plain,
( multiply(sP6_iProver_def,sP4_iProver_def) = sP8_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_6314,c_3131]) ).
cnf(c_17766,plain,
( multiply(sP6_iProver_def,sP4_iProver_def) = sP8_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_7470,c_3132]) ).
cnf(c_17936,plain,
( sk_c5 = sP3_iProver_def
| sk_c5 = sP5_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2698,c_2855]) ).
cnf(c_20635,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2767,c_80]) ).
cnf(c_20651,plain,
multiply(inverse(sk_c5),sP3_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_380,c_20635]) ).
cnf(c_20653,plain,
multiply(inverse(sk_c7),sP4_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_381,c_20635]) ).
cnf(c_20658,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_20635]) ).
cnf(c_20659,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_20635]) ).
cnf(c_20675,plain,
( multiply(inverse(sk_c7),sP4_iProver_def) = sP8_iProver_def
| sk_c5 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_690,c_20635]) ).
cnf(c_20748,plain,
multiply(inverse(sP6_iProver_def),identity) = sk_c6,
inference(superposition,[status(thm)],[c_1046,c_20635]) ).
cnf(c_20862,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2781,c_20635]) ).
cnf(c_20863,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2780,c_20635]) ).
cnf(c_20864,plain,
multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2779,c_20635]) ).
cnf(c_20865,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2778,c_20635]) ).
cnf(c_20959,plain,
multiply(inverse(sk_c5),multiply(sP3_iProver_def,sk_c5)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_12111,c_20635]) ).
cnf(c_20988,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_20635,c_20635]) ).
cnf(c_22435,plain,
( inverse(inverse(identity)) != sk_c7
| sk_c7 != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_20658,c_393]) ).
cnf(c_22447,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm)],[c_20748,c_20862]) ).
cnf(c_22466,plain,
( multiply(sP4_iProver_def,identity) = sP4_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_402,c_22447]) ).
cnf(c_22469,plain,
multiply(sk_c4,sk_c6) = multiply(sP7_iProver_def,identity),
inference(superposition,[status(thm)],[c_22447,c_2762]) ).
cnf(c_22472,plain,
multiply(sP7_iProver_def,identity) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_22469,c_384]) ).
cnf(c_22832,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_20659,c_20988]) ).
cnf(c_22876,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_22832,c_20658]) ).
cnf(c_26509,plain,
multiply(sk_c6,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_20862,c_81]) ).
cnf(c_26512,plain,
( multiply(sk_c6,sk_c5) != sk_c7
| inverse(inverse(sP6_iProver_def)) != sk_c5
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_20862,c_394]) ).
cnf(c_26514,plain,
multiply(sk_c6,multiply(sP6_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_20862,c_20635]) ).
cnf(c_26515,plain,
multiply(sk_c6,identity) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_20862,c_22832]) ).
cnf(c_26529,plain,
( sP3_iProver_def = sP13_iProver_def
| sk_c5 = sP6_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_16012,c_1160,c_2849,c_4997,c_4998,c_6408,c_8899,c_9933]) ).
cnf(c_26530,plain,
( sk_c5 = sP6_iProver_def
| sP3_iProver_def = sP13_iProver_def ),
inference(renaming,[status(thm)],[c_26529]) ).
cnf(c_27039,plain,
multiply(sk_c4,identity) = multiply(sP7_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_26509,c_2762]) ).
cnf(c_27254,plain,
inverse(sP6_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_26515,c_22832]) ).
cnf(c_27276,plain,
( multiply(sP4_iProver_def,multiply(sP6_iProver_def,X0)) = X0
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_402,c_26514]) ).
cnf(c_27443,plain,
multiply(sP7_iProver_def,sP6_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_27039,c_22832]) ).
cnf(c_27444,plain,
multiply(inverse(sP7_iProver_def),sk_c4) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_27443,c_20635]) ).
cnf(c_27449,plain,
multiply(inverse(sP7_iProver_def),multiply(sk_c4,X0)) = multiply(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_27444,c_82]) ).
cnf(c_27937,plain,
( multiply(sk_c7,multiply(sk_c4,sk_c7)) != sk_c6
| inverse(inverse(sP9_iProver_def)) != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_20863,c_392]) ).
cnf(c_27938,plain,
multiply(sk_c4,sP9_iProver_def) = identity,
inference(superposition,[status(thm)],[c_20863,c_81]) ).
cnf(c_27942,plain,
( multiply(sk_c4,sk_c6) != sk_c7
| inverse(inverse(sP9_iProver_def)) != sk_c7
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_20863,c_393]) ).
cnf(c_27944,plain,
multiply(sk_c4,identity) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_20863,c_22832]) ).
cnf(c_27949,plain,
( inverse(inverse(sP9_iProver_def)) != sk_c7
| sk_c7 != sP7_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_27942,c_384]) ).
cnf(c_27989,plain,
multiply(inverse(sP7_iProver_def),identity) = multiply(sP6_iProver_def,sP9_iProver_def),
inference(superposition,[status(thm)],[c_27938,c_27449]) ).
cnf(c_27997,plain,
inverse(sP9_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_27944,c_22832]) ).
cnf(c_28568,plain,
multiply(sk_c1,sP11_iProver_def) = identity,
inference(superposition,[status(thm)],[c_20864,c_81]) ).
cnf(c_28574,plain,
multiply(sk_c1,identity) = inverse(sP11_iProver_def),
inference(superposition,[status(thm)],[c_20864,c_22832]) ).
cnf(c_28587,plain,
( identity = sP12_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(demodulation,[status(thm)],[c_1884,c_28568]) ).
cnf(c_28759,plain,
inverse(sP11_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_28574,c_22832]) ).
cnf(c_28761,plain,
( inverse(sP3_iProver_def) = sk_c1
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_8362,c_28759]) ).
cnf(c_28960,plain,
( multiply(sP4_iProver_def,identity) = sk_c6
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1046,c_27276]) ).
cnf(c_29138,plain,
( sk_c5 != sk_c7
| sk_c5 != identity
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2045,c_22876]) ).
cnf(c_29358,plain,
( inverse(sP12_iProver_def) = sP12_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_28587,c_22876]) ).
cnf(c_30826,plain,
multiply(sk_c3,sP8_iProver_def) = identity,
inference(superposition,[status(thm)],[c_20865,c_81]) ).
cnf(c_30829,plain,
( multiply(sk_c3,sk_c5) != sk_c7
| inverse(inverse(sP8_iProver_def)) != sk_c5
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_20865,c_394]) ).
cnf(c_30831,plain,
multiply(sk_c3,multiply(sP8_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_20865,c_20635]) ).
cnf(c_30832,plain,
multiply(sk_c3,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_20865,c_22832]) ).
cnf(c_30836,plain,
( inverse(inverse(sP8_iProver_def)) != sk_c5
| sk_c7 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_30829,c_387]) ).
cnf(c_30843,plain,
( sk_c7 = sP7_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_972,c_30826]) ).
cnf(c_30844,plain,
( sk_c7 = sP9_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_971,c_30826]) ).
cnf(c_30845,plain,
( sk_c6 = sP4_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_970,c_30826]) ).
cnf(c_30846,plain,
( sk_c5 = sP6_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_969,c_30826]) ).
cnf(c_30847,plain,
( sk_c5 = sP5_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_968,c_30826]) ).
cnf(c_31350,plain,
( identity = sP10_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_30844,c_30843]) ).
cnf(c_32008,plain,
( sk_c5 != sP5_iProver_def
| sk_c5 != sP6_iProver_def
| sk_c6 != sP4_iProver_def
| sP3_iProver_def != sP4_iProver_def
| identity = sP10_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_30845,c_391]) ).
cnf(c_32855,plain,
inverse(sP8_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_30832,c_22832]) ).
cnf(c_32862,plain,
( multiply(sk_c3,sP3_iProver_def) = sk_c7
| sk_c5 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_664,c_30831]) ).
cnf(c_32906,plain,
( multiply(sP10_iProver_def,sk_c7) = sk_c7
| sk_c5 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_32862,c_13888]) ).
cnf(c_33051,plain,
( identity = sP10_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_30847,c_30846]) ).
cnf(c_33508,plain,
( inverse(sP10_iProver_def) = sP10_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_31350,c_22876]) ).
cnf(c_33510,plain,
( multiply(sP10_iProver_def,X0) = X0
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_31350,c_80]) ).
cnf(c_33700,plain,
( multiply(sP10_iProver_def,X0) = X0
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_33051,c_80]) ).
cnf(c_34184,plain,
multiply(sP6_iProver_def,sP9_iProver_def) = inverse(sP7_iProver_def),
inference(demodulation,[status(thm)],[c_27989,c_22832]) ).
cnf(c_34197,plain,
multiply(sk_c6,inverse(sP7_iProver_def)) = sP9_iProver_def,
inference(superposition,[status(thm)],[c_34184,c_26514]) ).
cnf(c_34241,plain,
multiply(sP7_iProver_def,inverse(sP7_iProver_def)) = multiply(sk_c4,sP9_iProver_def),
inference(superposition,[status(thm)],[c_34197,c_2762]) ).
cnf(c_34244,plain,
multiply(sP7_iProver_def,inverse(sP7_iProver_def)) = identity,
inference(light_normalisation,[status(thm)],[c_34241,c_27938]) ).
cnf(c_35075,plain,
( inverse(sP3_iProver_def) = sP3_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_9004,c_33508]) ).
cnf(c_35158,plain,
( sk_c5 = sP3_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_3057,c_17936]) ).
cnf(c_35561,plain,
( sk_c5 = sP5_iProver_def
| sP3_iProver_def = sP8_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_35158,c_399]) ).
cnf(c_35562,plain,
( sk_c5 = sP6_iProver_def
| sP3_iProver_def = sP8_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_35158,c_398]) ).
cnf(c_36407,plain,
( sk_c1 = sP3_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_35075,c_28761]) ).
cnf(c_36816,plain,
( sP3_iProver_def = sP8_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_35562,c_35561]) ).
cnf(c_37413,plain,
( inverse(sP3_iProver_def) = sk_c3
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_36816,c_32855]) ).
cnf(c_37939,plain,
( sk_c3 = sP6_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_37413,c_2648]) ).
cnf(c_37978,plain,
( inverse(sP6_iProver_def) = sP8_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_37939,c_385]) ).
cnf(c_37979,plain,
( sk_c6 = sP8_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_37978,c_27254]) ).
cnf(c_38185,plain,
( sk_c1 = identity
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_33510,c_2904]) ).
cnf(c_38370,plain,
( sk_c2 = sP13_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_33700,c_1693]) ).
cnf(c_38519,plain,
( multiply(sP8_iProver_def,sP10_iProver_def) = sP5_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_37979,c_1697]) ).
cnf(c_38531,plain,
( sP5_iProver_def = sP6_iProver_def
| sP8_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_37979,c_1278]) ).
cnf(c_38553,plain,
( sk_c5 = sP5_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_38519,c_2855]) ).
cnf(c_39341,plain,
( identity = sP3_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_38185,c_36407]) ).
cnf(c_40892,plain,
( sk_c5 = sP6_iProver_def
| sP5_iProver_def = sP6_iProver_def
| sP12_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_38370,c_413]) ).
cnf(c_42883,plain,
( sk_c5 = sP6_iProver_def
| sP5_iProver_def = sP6_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_38553,c_398]) ).
cnf(c_43600,plain,
( sP5_iProver_def = sP6_iProver_def
| sP12_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_40892,c_38553]) ).
cnf(c_43738,plain,
( sP5_iProver_def = sP6_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_42883,c_38553]) ).
cnf(c_46031,plain,
( sP5_iProver_def = sP6_iProver_def
| sP8_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_43600,c_38531]) ).
cnf(c_47420,plain,
( inverse(sP8_iProver_def) = sP8_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_46031,c_29358]) ).
cnf(c_47453,plain,
( sk_c3 = sP8_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_47420,c_32855]) ).
cnf(c_48477,plain,
( sP5_iProver_def = sP6_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_37939,c_47453]) ).
cnf(c_53188,plain,
sP5_iProver_def = sP6_iProver_def,
inference(superposition,[status(thm)],[c_48477,c_43738]) ).
cnf(c_53256,plain,
multiply(sP5_iProver_def,sP9_iProver_def) = inverse(sP7_iProver_def),
inference(demodulation,[status(thm)],[c_34184,c_53188]) ).
cnf(c_53280,plain,
multiply(sP7_iProver_def,sP5_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_27443,c_53188]) ).
cnf(c_53281,plain,
multiply(sk_c6,multiply(sP5_iProver_def,X0)) = X0,
inference(demodulation,[status(thm)],[c_26514,c_53188]) ).
cnf(c_53282,plain,
inverse(sP5_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_27254,c_53188]) ).
cnf(c_53286,plain,
multiply(sk_c6,sP5_iProver_def) = identity,
inference(demodulation,[status(thm)],[c_26509,c_53188]) ).
cnf(c_53326,plain,
( multiply(sP5_iProver_def,sP4_iProver_def) = identity
| sk_c7 = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_1070,c_53188]) ).
cnf(c_53338,plain,
multiply(sP5_iProver_def,sP5_iProver_def) = sk_c7,
inference(demodulation,[status(thm)],[c_3124,c_53188]) ).
cnf(c_53339,plain,
multiply(sP5_iProver_def,multiply(sk_c6,X0)) = X0,
inference(demodulation,[status(thm)],[c_2781,c_53188]) ).
cnf(c_53349,plain,
( sk_c5 != sP5_iProver_def
| sk_c6 != sP3_iProver_def
| sk_c6 != sP4_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_391,c_53188]) ).
cnf(c_53353,plain,
multiply(sP5_iProver_def,sk_c6) = identity,
inference(demodulation,[status(thm)],[c_1046,c_53188]) ).
cnf(c_53356,plain,
inverse(sk_c6) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_383,c_53188]) ).
cnf(c_55126,plain,
( multiply(sk_c6,multiply(sP4_iProver_def,sP4_iProver_def)) = sk_c5
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_12818,c_53281]) ).
cnf(c_55241,plain,
multiply(sP5_iProver_def,multiply(sP5_iProver_def,sk_c5)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_12614,c_53339]) ).
cnf(c_55331,plain,
( multiply(sk_c7,sk_c7) != sk_c6
| sk_c7 != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2199,c_22876]) ).
cnf(c_55379,plain,
( multiply(sP9_iProver_def,sP9_iProver_def) != sk_c6
| sk_c7 != identity
| ~ sP2_iProver_def
| sP10_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_6339,c_55331]) ).
cnf(c_55389,plain,
( multiply(sP7_iProver_def,sP7_iProver_def) != sk_c6
| sk_c7 != identity
| ~ sP2_iProver_def
| sP3_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1338,c_55331]) ).
cnf(c_57175,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c7 != sk_c6
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_2200,c_22832]) ).
cnf(c_58696,plain,
( multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != sP5_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_26512,c_53188,c_53282,c_53356]) ).
cnf(c_58724,plain,
( multiply(sP4_iProver_def,sk_c5) != sk_c7
| sk_c5 != sP5_iProver_def
| ~ sP0_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_402,c_58696]) ).
cnf(c_59115,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_58724,c_57175,c_55389,c_55379,c_55241,c_55126,c_53356,c_53353,c_53349,c_53338,c_53326,c_53286,c_53282,c_53280,c_53256,c_53188,c_39341,c_34244,c_32906,c_32855,c_32008,c_30846,c_30836,c_30832,c_30826,c_29138,c_28960,c_27997,c_27949,c_27937,c_27938,c_27254,c_26530,c_26515,c_22876,c_22472,c_22466,c_22435,c_20959,c_20675,c_20653,c_20651,c_17766,c_17096,c_14125,c_13901,c_13888,c_13473,c_13460,c_13338,c_13132,c_12614,c_12111,c_9933,c_5930,c_5906,c_4722,c_4700,c_4657,c_3112,c_2873,c_2855,c_2353,c_1966,c_1086,c_399,c_397,c_396,c_395,c_387,c_386,c_385,c_384,c_382,c_381,c_380]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP368-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n021.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 : Fri May 3 00:00:28 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.27/2.18 % SZS status Started for theBenchmark.p
% 10.27/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 10.27/2.18
% 10.27/2.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.27/2.18
% 10.27/2.18 ------ iProver source info
% 10.27/2.18
% 10.27/2.18 git: date: 2024-05-02 19:28:25 +0000
% 10.27/2.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.27/2.18 git: non_committed_changes: false
% 10.27/2.18
% 10.27/2.18 ------ Parsing...successful
% 10.27/2.18
% 10.27/2.18
% 10.27/2.18
% 10.27/2.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 10.27/2.18
% 10.27/2.18 ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.27/2.18
% 10.27/2.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.27/2.18 ------ Proving...
% 10.27/2.18 ------ Problem Properties
% 10.27/2.18
% 10.27/2.18
% 10.27/2.18 clauses 48
% 10.27/2.18 conjectures 34
% 10.27/2.18 EPR 31
% 10.27/2.18 Horn 17
% 10.27/2.18 unary 14
% 10.27/2.18 binary 30
% 10.27/2.18 lits 90
% 10.27/2.18 lits eq 84
% 10.27/2.18 fd_pure 0
% 10.27/2.18 fd_pseudo 0
% 10.27/2.18 fd_cond 0
% 10.27/2.18 fd_pseudo_cond 0
% 10.27/2.18 AC symbols 0
% 10.27/2.18
% 10.27/2.18 ------ Schedule dynamic 5 is on
% 10.27/2.18
% 10.27/2.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.27/2.18
% 10.27/2.18
% 10.27/2.18 ------
% 10.27/2.18 Current options:
% 10.27/2.18 ------
% 10.27/2.18
% 10.27/2.18
% 10.27/2.18
% 10.27/2.18
% 10.27/2.18 ------ Proving...
% 10.27/2.18
% 10.27/2.18
% 10.27/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 10.27/2.18
% 10.27/2.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.27/2.19
% 10.27/2.19
%------------------------------------------------------------------------------