TSTP Solution File: GRP226-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP226-1 : 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 02:21:48 EDT 2024
% Result : Unsatisfiable 7.62s 1.70s
% Output : CNFRefutation 7.62s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c7,sk_c3) = 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_c3) = sk_c6
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c7,sk_c3) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c7,sk_c3) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c3
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c3
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| multiply(X1,sk_c7) != X2
| multiply(X3,sk_c6) != sk_c7
| multiply(X4,sk_c6) != sk_c7
| multiply(sk_c7,X2) != sk_c6
| inverse(X0) != sk_c7
| inverse(X1) != sk_c7
| inverse(X3) != sk_c7
| inverse(X4) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_71,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_72,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| inverse(X1) != sk_c7
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6 ),
inference(unflattening,[status(thm)],[c_69]) ).
cnf(c_278,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_73]) ).
cnf(c_279,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_73]) ).
cnf(c_280,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_73]) ).
cnf(c_281,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_73]) ).
cnf(c_282,plain,
inverse(sk_c5) = sP3_iProver_def,
definition ).
cnf(c_283,plain,
inverse(sk_c2) = sP4_iProver_def,
definition ).
cnf(c_284,plain,
multiply(sk_c5,sk_c6) = sP5_iProver_def,
definition ).
cnf(c_285,plain,
multiply(sk_c4,sk_c6) = sP6_iProver_def,
definition ).
cnf(c_286,plain,
inverse(sk_c4) = sP7_iProver_def,
definition ).
cnf(c_287,plain,
multiply(sk_c2,sk_c7) = sP8_iProver_def,
definition ).
cnf(c_288,plain,
multiply(sk_c7,sk_c3) = sP9_iProver_def,
definition ).
cnf(c_289,plain,
multiply(sk_c1,sk_c6) = sP10_iProver_def,
definition ).
cnf(c_290,plain,
inverse(sk_c1) = sP11_iProver_def,
definition ).
cnf(c_291,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_281]) ).
cnf(c_292,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_280]) ).
cnf(c_293,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_279]) ).
cnf(c_294,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_278]) ).
cnf(c_296,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP4_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_68,c_283,c_282]) ).
cnf(c_297,negated_conjecture,
( sP4_iProver_def = sk_c7
| sP5_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_67,c_284]) ).
cnf(c_298,negated_conjecture,
( sP4_iProver_def = sk_c7
| sP6_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_66,c_285]) ).
cnf(c_299,negated_conjecture,
( sP4_iProver_def = sk_c7
| sP7_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_65,c_286]) ).
cnf(c_300,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP8_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_64,c_287]) ).
cnf(c_301,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP8_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_302,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP8_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_303,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP8_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_304,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_60,c_288]) ).
cnf(c_305,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_306,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_307,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_308,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_56,c_289]) ).
cnf(c_309,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_310,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_311,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_312,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_52,c_290]) ).
cnf(c_313,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_314,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_315,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_316,plain,
X0 = X0,
theory(equality) ).
cnf(c_317,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_533,plain,
( multiply(sk_c7,sP8_iProver_def) = sP9_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_302,c_288]) ).
cnf(c_534,plain,
( multiply(sk_c7,sP8_iProver_def) = sP9_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_301,c_288]) ).
cnf(c_535,plain,
( multiply(sk_c7,sP8_iProver_def) = sP9_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_300,c_288]) ).
cnf(c_552,plain,
( multiply(sk_c7,sP8_iProver_def) = sP9_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_303,c_288]) ).
cnf(c_560,plain,
( multiply(sk_c4,sP9_iProver_def) = sP6_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_304,c_285]) ).
cnf(c_590,plain,
( multiply(sk_c4,sP9_iProver_def) = sP6_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_306,c_285]) ).
cnf(c_605,plain,
( multiply(sk_c4,sP9_iProver_def) = sP6_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_307,c_285]) ).
cnf(c_627,plain,
( multiply(sk_c4,sP3_iProver_def) = sP6_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_308,c_285]) ).
cnf(c_653,plain,
( multiply(sk_c2,sP10_iProver_def) = sP8_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_309,c_287]) ).
cnf(c_689,plain,
( multiply(sk_c2,sP10_iProver_def) = sP8_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_310,c_287]) ).
cnf(c_709,plain,
( multiply(sk_c1,sP9_iProver_def) = sP10_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_305,c_289]) ).
cnf(c_728,plain,
multiply(sP11_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_290,c_71]) ).
cnf(c_729,plain,
multiply(sP7_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_286,c_71]) ).
cnf(c_730,plain,
multiply(sP3_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_282,c_71]) ).
cnf(c_731,plain,
multiply(sP4_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_283,c_71]) ).
cnf(c_747,plain,
( multiply(sk_c2,sP10_iProver_def) = sP8_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_311,c_287]) ).
cnf(c_784,plain,
( multiply(sk_c1,sP3_iProver_def) = sP10_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_312,c_289]) ).
cnf(c_825,plain,
( multiply(sk_c2,sP11_iProver_def) = sP8_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_313,c_287]) ).
cnf(c_853,plain,
( X0 != X1
| sP11_iProver_def != X1
| sP11_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_317]) ).
cnf(c_873,plain,
( multiply(sk_c2,sP11_iProver_def) = sP8_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_314,c_287]) ).
cnf(c_923,plain,
( multiply(sk_c2,sP11_iProver_def) = sP8_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_315,c_287]) ).
cnf(c_949,plain,
( inverse(sk_c5) != sk_c6
| sk_c7 != sP5_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_284,c_293]) ).
cnf(c_950,plain,
( inverse(sk_c1) != sk_c6
| sk_c7 != sP10_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_289,c_293]) ).
cnf(c_963,plain,
( sk_c7 != sP10_iProver_def
| sk_c6 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_950,c_290]) ).
cnf(c_967,plain,
( sk_c7 != sP5_iProver_def
| sk_c6 != sP3_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_949,c_282]) ).
cnf(c_1030,plain,
( X0 != X1
| sP11_iProver_def != X1
| X0 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_317]) ).
cnf(c_1044,plain,
( inverse(sk_c4) != sk_c7
| sk_c7 != sP6_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_285,c_294]) ).
cnf(c_1046,plain,
( inverse(sk_c1) != sk_c7
| sk_c7 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_289,c_294]) ).
cnf(c_1059,plain,
( sk_c7 != sP10_iProver_def
| sk_c7 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1046,c_290]) ).
cnf(c_1067,plain,
( sk_c7 != sP6_iProver_def
| sk_c7 != sP7_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1044,c_286]) ).
cnf(c_1143,plain,
( multiply(sk_c7,sk_c7) != sk_c6
| inverse(identity) != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_70,c_292]) ).
cnf(c_1144,plain,
( inverse(inverse(sk_c7)) != sk_c7
| multiply(sk_c7,identity) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_71,c_292]) ).
cnf(c_1335,plain,
( sk_c7 != X0
| sk_c6 != X0
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_317]) ).
cnf(c_1556,plain,
multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sP8_iProver_def,X0),
inference(superposition,[status(thm)],[c_287,c_72]) ).
cnf(c_1558,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_71,c_72]) ).
cnf(c_1561,plain,
multiply(sP11_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_728,c_72]) ).
cnf(c_1562,plain,
multiply(sP7_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_729,c_72]) ).
cnf(c_1563,plain,
multiply(sP3_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_730,c_72]) ).
cnf(c_1564,plain,
multiply(sP4_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_731,c_72]) ).
cnf(c_1569,plain,
multiply(sP4_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1564,c_70]) ).
cnf(c_1570,plain,
multiply(sP3_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1563,c_70]) ).
cnf(c_1571,plain,
multiply(sP7_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1562,c_70]) ).
cnf(c_1572,plain,
multiply(sP11_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1561,c_70]) ).
cnf(c_1643,plain,
( X0 != sP11_iProver_def
| sP11_iProver_def != sP11_iProver_def
| sP11_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_853]) ).
cnf(c_1644,plain,
sP11_iProver_def = sP11_iProver_def,
inference(instantiation,[status(thm)],[c_316]) ).
cnf(c_1645,plain,
( sk_c7 != sP11_iProver_def
| sP11_iProver_def != sP11_iProver_def
| sP11_iProver_def = sk_c7 ),
inference(instantiation,[status(thm)],[c_1643]) ).
cnf(c_1951,plain,
multiply(sP4_iProver_def,sP8_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_287,c_1569]) ).
cnf(c_1962,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_316]) ).
cnf(c_1969,plain,
multiply(sP3_iProver_def,sP5_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_284,c_1570]) ).
cnf(c_2180,plain,
multiply(sP7_iProver_def,sP6_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_285,c_1571]) ).
cnf(c_2198,plain,
multiply(sP11_iProver_def,sP10_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_289,c_1572]) ).
cnf(c_2456,plain,
( multiply(sP7_iProver_def,sP6_iProver_def) = sP9_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_560,c_1571]) ).
cnf(c_2457,plain,
( sk_c6 = sP3_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2456,c_2180]) ).
cnf(c_2500,plain,
( multiply(sP7_iProver_def,sP6_iProver_def) = sP9_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_590,c_1571]) ).
cnf(c_2501,plain,
( sk_c7 = sP6_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2500,c_2180]) ).
cnf(c_2552,plain,
( multiply(sP7_iProver_def,sP6_iProver_def) = sP9_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_605,c_1571]) ).
cnf(c_2553,plain,
( sk_c7 = sP7_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2552,c_2180]) ).
cnf(c_2574,plain,
( multiply(sP7_iProver_def,sP6_iProver_def) = sP3_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_627,c_1571]) ).
cnf(c_2575,plain,
( sk_c7 = sP10_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2574,c_2180]) ).
cnf(c_2747,plain,
( multiply(sP4_iProver_def,sP8_iProver_def) = sP10_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_653,c_1569]) ).
cnf(c_2748,plain,
( sk_c7 = sP5_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2747,c_1951]) ).
cnf(c_2771,plain,
( multiply(sP4_iProver_def,sP8_iProver_def) = sP10_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_689,c_1569]) ).
cnf(c_2772,plain,
( sk_c7 = sP6_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2771,c_1951]) ).
cnf(c_2879,plain,
( multiply(sP4_iProver_def,sP8_iProver_def) = sP10_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_747,c_1569]) ).
cnf(c_2880,plain,
( sk_c7 = sP7_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2879,c_1951]) ).
cnf(c_2987,plain,
( multiply(sP11_iProver_def,sP10_iProver_def) = sP3_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_784,c_1572]) ).
cnf(c_2988,plain,
( sk_c7 = sP11_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2987,c_2198]) ).
cnf(c_3037,plain,
( multiply(sP4_iProver_def,sP8_iProver_def) = sP11_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_825,c_1569]) ).
cnf(c_3038,plain,
( sk_c7 = sP5_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3037,c_1951]) ).
cnf(c_3085,plain,
( multiply(sP4_iProver_def,sP8_iProver_def) = sP11_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_873,c_1569]) ).
cnf(c_3086,plain,
( sk_c7 = sP6_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3085,c_1951]) ).
cnf(c_3115,plain,
( multiply(sP4_iProver_def,sP8_iProver_def) = sP11_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_923,c_1569]) ).
cnf(c_3116,plain,
( sk_c7 = sP7_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3115,c_1951]) ).
cnf(c_3642,plain,
multiply(sk_c2,sP9_iProver_def) = multiply(sP8_iProver_def,sk_c3),
inference(superposition,[status(thm)],[c_288,c_1556]) ).
cnf(c_3918,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1558,c_70]) ).
cnf(c_3926,plain,
multiply(inverse(sk_c7),sP9_iProver_def) = sk_c3,
inference(superposition,[status(thm)],[c_288,c_3918]) ).
cnf(c_3928,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_70,c_3918]) ).
cnf(c_3929,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_71,c_3918]) ).
cnf(c_3930,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_72,c_3918]) ).
cnf(c_3997,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1571,c_3918]) ).
cnf(c_3998,plain,
multiply(inverse(sP3_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_1570,c_3918]) ).
cnf(c_3999,plain,
multiply(inverse(sP4_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1569,c_3918]) ).
cnf(c_4015,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3918,c_3918]) ).
cnf(c_4317,plain,
( inverse(inverse(identity)) != sk_c6
| sk_c7 != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_3928,c_293]) ).
cnf(c_4812,plain,
( sk_c6 != X0
| sP11_iProver_def != X0
| sk_c6 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_1030]) ).
cnf(c_4815,plain,
( sk_c6 != sk_c7
| sP11_iProver_def != sk_c7
| sk_c6 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_4812]) ).
cnf(c_4991,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_3929,c_4015]) ).
cnf(c_5016,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_4991,c_3928]) ).
cnf(c_5029,plain,
( sk_c6 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_963,c_967,c_963,c_2575,c_2748]) ).
cnf(c_5042,plain,
( sP3_iProver_def != sP11_iProver_def
| ~ sP1_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_312,c_5029]) ).
cnf(c_5120,plain,
( ~ sP1_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_5042,c_967,c_2988,c_3038]) ).
cnf(c_5568,plain,
( sk_c7 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1059,c_1067,c_1059,c_2772,c_2880]) ).
cnf(c_5570,plain,
~ sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_5568,c_1067,c_3086,c_3116,c_5568]) ).
cnf(c_5572,plain,
( sP1_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_291,c_5570]) ).
cnf(c_7054,plain,
multiply(sk_c4,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_3997,c_71]) ).
cnf(c_7059,plain,
multiply(sk_c4,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_3997,c_4991]) ).
cnf(c_7082,plain,
inverse(sP7_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_7059,c_4991]) ).
cnf(c_7260,plain,
multiply(inverse(multiply(X0,sk_c1)),multiply(X0,sP10_iProver_def)) = sk_c6,
inference(superposition,[status(thm)],[c_289,c_3930]) ).
cnf(c_7306,plain,
( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,sP10_iProver_def)) = sP9_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_709,c_3930]) ).
cnf(c_7356,plain,
multiply(inverse(multiply(X0,sk_c4)),multiply(X0,identity)) = sP7_iProver_def,
inference(superposition,[status(thm)],[c_7054,c_3930]) ).
cnf(c_7368,plain,
multiply(inverse(multiply(X0,sk_c4)),X0) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_7356,c_4991]) ).
cnf(c_7839,plain,
( sk_c7 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1335]) ).
cnf(c_8565,plain,
multiply(sk_c5,sP3_iProver_def) = identity,
inference(superposition,[status(thm)],[c_3998,c_71]) ).
cnf(c_8573,plain,
multiply(sk_c5,identity) = inverse(sP3_iProver_def),
inference(superposition,[status(thm)],[c_3998,c_4991]) ).
cnf(c_8685,plain,
inverse(sP3_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_8573,c_4991]) ).
cnf(c_9532,plain,
( sk_c7 != sk_c6
| ~ sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4317,c_1645,c_1644,c_1962,c_4815,c_5029,c_5120,c_7839]) ).
cnf(c_9547,plain,
( sk_c7 != sP9_iProver_def
| ~ sP1_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_307,c_9532]) ).
cnf(c_9549,plain,
( sk_c7 != sP9_iProver_def
| ~ sP1_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_305,c_9532]) ).
cnf(c_9550,plain,
( sk_c7 != sP9_iProver_def
| ~ sP1_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_304,c_9532]) ).
cnf(c_9572,plain,
( ~ sP1_iProver_def
| sk_c7 != sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_9547,c_967,c_9550,c_9549]) ).
cnf(c_9573,plain,
( sk_c7 != sP9_iProver_def
| ~ sP1_iProver_def ),
inference(renaming,[status(thm)],[c_9572]) ).
cnf(c_9842,plain,
multiply(sk_c2,sP4_iProver_def) = identity,
inference(superposition,[status(thm)],[c_3999,c_71]) ).
cnf(c_9850,plain,
multiply(sk_c2,identity) = inverse(sP4_iProver_def),
inference(superposition,[status(thm)],[c_3999,c_4991]) ).
cnf(c_9990,plain,
inverse(sP4_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_9850,c_4991]) ).
cnf(c_10138,plain,
( multiply(sk_c7,sk_c7) != sk_c6
| sk_c7 != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1143,c_5016]) ).
cnf(c_10674,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c7 != sk_c6
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_1144,c_4991]) ).
cnf(c_12202,plain,
( inverse(inverse(multiply(sk_c6,sk_c4))) != sk_c6
| sk_c7 != sP7_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_7368,c_293]) ).
cnf(c_13252,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_12202,c_10674,c_10138,c_9990,c_9842,c_9573,c_8685,c_8565,c_7306,c_7260,c_7082,c_7059,c_7054,c_5572,c_3926,c_3642,c_2553,c_2501,c_2457,c_2180,c_1969,c_1951,c_967,c_552,c_535,c_534,c_533,c_299,c_298,c_297,c_296,c_287,c_284,c_283,c_282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP226-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 00:06:13 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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
% 7.62/1.70 % SZS status Started for theBenchmark.p
% 7.62/1.70 % SZS status Unsatisfiable for theBenchmark.p
% 7.62/1.70
% 7.62/1.70 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.62/1.70
% 7.62/1.70 ------ iProver source info
% 7.62/1.70
% 7.62/1.70 git: date: 2024-05-02 19:28:25 +0000
% 7.62/1.70 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.62/1.70 git: non_committed_changes: false
% 7.62/1.70
% 7.62/1.70 ------ Parsing...successful
% 7.62/1.70
% 7.62/1.70
% 7.62/1.70
% 7.62/1.70 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.62/1.70
% 7.62/1.70 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.62/1.70
% 7.62/1.70 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.62/1.70 ------ Proving...
% 7.62/1.70 ------ Problem Properties
% 7.62/1.70
% 7.62/1.70
% 7.62/1.70 clauses 36
% 7.62/1.70 conjectures 24
% 7.62/1.70 EPR 21
% 7.62/1.70 Horn 15
% 7.62/1.70 unary 12
% 7.62/1.70 binary 20
% 7.62/1.70 lits 64
% 7.62/1.70 lits eq 58
% 7.62/1.70 fd_pure 0
% 7.62/1.70 fd_pseudo 0
% 7.62/1.70 fd_cond 0
% 7.62/1.70 fd_pseudo_cond 0
% 7.62/1.70 AC symbols 0
% 7.62/1.70
% 7.62/1.70 ------ Schedule dynamic 5 is on
% 7.62/1.70
% 7.62/1.70 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.62/1.70
% 7.62/1.70
% 7.62/1.70 ------
% 7.62/1.70 Current options:
% 7.62/1.70 ------
% 7.62/1.70
% 7.62/1.70
% 7.62/1.70
% 7.62/1.70
% 7.62/1.70 ------ Proving...
% 7.62/1.70
% 7.62/1.70
% 7.62/1.70 % SZS status Unsatisfiable for theBenchmark.p
% 7.62/1.70
% 7.62/1.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.62/1.70
% 7.62/1.70
%------------------------------------------------------------------------------