TSTP Solution File: GRP315-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP315-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 02:22:09 EDT 2024
% Result : Unsatisfiable 4.17s 1.16s
% Output : CNFRefutation 4.17s
% 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,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c6) != sk_c5
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_68,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_69,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_74,plain,
( multiply(X3,sk_c5) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| multiply(X1,sk_c6) != sk_c5
| multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_66,c_49,c_66]) ).
cnf(c_75,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c6) != sk_c5
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c5) != sk_c6
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6 ),
inference(renaming,[status(thm)],[c_74]) ).
cnf(c_247,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_75]) ).
cnf(c_248,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_75]) ).
cnf(c_249,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_75]) ).
cnf(c_250,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_75]) ).
cnf(c_251,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_75]) ).
cnf(c_252,plain,
multiply(sk_c4,sk_c5) = sP4_iProver_def,
definition ).
cnf(c_253,plain,
inverse(sk_c2) = sP5_iProver_def,
definition ).
cnf(c_254,plain,
inverse(sk_c4) = sP6_iProver_def,
definition ).
cnf(c_255,plain,
multiply(sk_c3,sk_c6) = sP7_iProver_def,
definition ).
cnf(c_256,plain,
inverse(sk_c3) = sP8_iProver_def,
definition ).
cnf(c_257,plain,
multiply(sk_c2,sk_c6) = sP9_iProver_def,
definition ).
cnf(c_258,plain,
inverse(sk_c1) = sP10_iProver_def,
definition ).
cnf(c_259,plain,
multiply(sk_c1,sk_c7) = sP11_iProver_def,
definition ).
cnf(c_260,plain,
multiply(sk_c6,sk_c7) = sP12_iProver_def,
definition ).
cnf(c_261,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_251]) ).
cnf(c_262,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_250]) ).
cnf(c_263,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_249]) ).
cnf(c_264,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_248]) ).
cnf(c_265,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_247]) ).
cnf(c_266,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP5_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_65,c_253,c_252]) ).
cnf(c_267,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_64,c_254]) ).
cnf(c_268,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP7_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_63,c_255]) ).
cnf(c_269,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_62,c_256]) ).
cnf(c_270,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP9_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_61,c_257]) ).
cnf(c_271,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP9_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_272,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP9_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_273,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP9_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_274,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_57,c_258]) ).
cnf(c_275,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_276,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_277,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_278,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP11_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_53,c_259]) ).
cnf(c_279,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP11_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_280,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP11_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_281,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP11_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_282,negated_conjecture,
sP12_iProver_def = sk_c5,
inference(demodulation,[status(thm)],[c_49,c_260]) ).
cnf(c_284,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_459,plain,
( sk_c6 = sP5_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_268,c_269]) ).
cnf(c_463,plain,
( sk_c6 = sP4_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_270,c_282]) ).
cnf(c_478,plain,
( sk_c6 = sP6_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_271,c_282]) ).
cnf(c_492,plain,
multiply(sk_c4,sP12_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_252,c_282]) ).
cnf(c_523,plain,
( sk_c7 = sP7_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_272,c_282]) ).
cnf(c_533,plain,
( sk_c7 = sP8_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_273,c_282]) ).
cnf(c_557,plain,
( multiply(sk_c1,sP10_iProver_def) = sP11_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_274,c_259]) ).
cnf(c_584,plain,
( multiply(sk_c1,sP10_iProver_def) = sP11_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_275,c_259]) ).
cnf(c_623,plain,
( multiply(sk_c1,sP10_iProver_def) = sP11_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_276,c_259]) ).
cnf(c_648,plain,
( sk_c7 = sP8_iProver_def
| sP8_iProver_def = sP10_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_277,c_533]) ).
cnf(c_650,plain,
( multiply(sk_c1,sP10_iProver_def) = sP11_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_277,c_259]) ).
cnf(c_675,plain,
( multiply(sk_c2,sP11_iProver_def) = sP9_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_278,c_257]) ).
cnf(c_712,plain,
( multiply(sk_c2,sP11_iProver_def) = sP9_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_279,c_257]) ).
cnf(c_755,plain,
( multiply(sP11_iProver_def,sk_c7) = sP12_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_278,c_260]) ).
cnf(c_756,plain,
( multiply(sP6_iProver_def,sk_c7) = sP12_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_478,c_260]) ).
cnf(c_759,plain,
( multiply(sP5_iProver_def,sk_c7) = sP12_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_266,c_260]) ).
cnf(c_800,plain,
( sk_c7 != X0
| sP8_iProver_def != X0
| sk_c7 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_284]) ).
cnf(c_807,plain,
multiply(sP8_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_256,c_68]) ).
cnf(c_808,plain,
multiply(sP6_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_254,c_68]) ).
cnf(c_809,plain,
multiply(sP10_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_258,c_68]) ).
cnf(c_810,plain,
multiply(sP5_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_253,c_68]) ).
cnf(c_841,plain,
( multiply(sk_c1,sP7_iProver_def) = sP11_iProver_def
| sk_c6 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_280,c_259]) ).
cnf(c_873,plain,
( sk_c6 = sP11_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_281,c_280]) ).
cnf(c_880,plain,
( multiply(sk_c1,sP8_iProver_def) = sP11_iProver_def
| sk_c6 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_281,c_259]) ).
cnf(c_924,plain,
multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sP7_iProver_def,X0),
inference(superposition,[status(thm)],[c_255,c_69]) ).
cnf(c_925,plain,
multiply(sk_c2,multiply(sk_c6,X0)) = multiply(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_257,c_69]) ).
cnf(c_927,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_68,c_69]) ).
cnf(c_938,plain,
multiply(sP8_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_807,c_69]) ).
cnf(c_939,plain,
multiply(sP8_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_938,c_67]) ).
cnf(c_941,plain,
multiply(sP6_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_808,c_69]) ).
cnf(c_942,plain,
multiply(sP6_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_941,c_67]) ).
cnf(c_944,plain,
multiply(sP10_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_809,c_69]) ).
cnf(c_945,plain,
multiply(sP10_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_944,c_67]) ).
cnf(c_947,plain,
multiply(sP5_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_810,c_69]) ).
cnf(c_948,plain,
multiply(sP5_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_947,c_67]) ).
cnf(c_967,plain,
( inverse(sk_c1) != sk_c7
| sk_c6 != sP11_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_259,c_262]) ).
cnf(c_969,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c6 != identity
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_68,c_262]) ).
cnf(c_984,plain,
( sk_c6 != sP11_iProver_def
| sk_c7 != sP10_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_967,c_258]) ).
cnf(c_1109,plain,
( multiply(X0,sP12_iProver_def) != sk_c6
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_263,c_282]) ).
cnf(c_1117,plain,
( inverse(inverse(sP12_iProver_def)) != sk_c6
| sk_c6 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_68,c_1109]) ).
cnf(c_1119,plain,
( inverse(sk_c4) != sk_c6
| sk_c6 != sP4_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_492,c_1109]) ).
cnf(c_1120,plain,
( sk_c6 != sP4_iProver_def
| sk_c6 != sP6_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1119,c_254]) ).
cnf(c_1134,plain,
( multiply(X0,sk_c6) != sP12_iProver_def
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_264,c_282]) ).
cnf(c_1141,plain,
( inverse(sk_c3) != sk_c6
| sP7_iProver_def != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_255,c_1134]) ).
cnf(c_1142,plain,
( inverse(sk_c2) != sk_c6
| sP9_iProver_def != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_257,c_1134]) ).
cnf(c_1143,plain,
( inverse(identity) != sk_c6
| sk_c6 != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_67,c_1134]) ).
cnf(c_1155,plain,
( sk_c6 != sP5_iProver_def
| sP9_iProver_def != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1142,c_253]) ).
cnf(c_1159,plain,
( sk_c6 != sP8_iProver_def
| sP7_iProver_def != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1141,c_256]) ).
cnf(c_1280,plain,
( inverse(sk_c3) != sk_c7
| sk_c7 != sP7_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_255,c_265]) ).
cnf(c_1298,plain,
( sk_c7 != sP7_iProver_def
| sk_c7 != sP8_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1280,c_256]) ).
cnf(c_1404,plain,
( multiply(sk_c2,sP5_iProver_def) = sP9_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_459,c_257]) ).
cnf(c_1547,plain,
( sP5_iProver_def = sP11_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_873,c_459]) ).
cnf(c_1689,plain,
multiply(sP8_iProver_def,sP7_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_255,c_939]) ).
cnf(c_1724,plain,
multiply(sP6_iProver_def,sP4_iProver_def) = sP12_iProver_def,
inference(superposition,[status(thm)],[c_492,c_942]) ).
cnf(c_1739,plain,
multiply(sP10_iProver_def,sP11_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_259,c_945]) ).
cnf(c_1814,plain,
( multiply(sk_c1,multiply(sP10_iProver_def,X0)) = multiply(sP11_iProver_def,X0)
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_557,c_69]) ).
cnf(c_1857,plain,
multiply(sP5_iProver_def,sP9_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_257,c_948]) ).
cnf(c_2007,plain,
( multiply(sP10_iProver_def,sP11_iProver_def) = sP10_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_650,c_945]) ).
cnf(c_2008,plain,
( sk_c7 = sP8_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2007,c_1739]) ).
cnf(c_2020,plain,
( multiply(sP5_iProver_def,sP9_iProver_def) = sP11_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_675,c_948]) ).
cnf(c_2021,plain,
( sk_c6 = sP4_iProver_def
| sk_c6 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2020,c_1857]) ).
cnf(c_2044,plain,
( multiply(sP5_iProver_def,sP9_iProver_def) = sP11_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_712,c_948]) ).
cnf(c_2045,plain,
( sk_c6 = sP6_iProver_def
| sk_c6 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2044,c_1857]) ).
cnf(c_2641,plain,
( multiply(sP6_iProver_def,sP8_iProver_def) = sP12_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_533,c_756]) ).
cnf(c_2853,plain,
( multiply(sP10_iProver_def,sP11_iProver_def) = sP7_iProver_def
| sk_c6 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_841,c_945]) ).
cnf(c_2854,plain,
( sk_c6 = sP11_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2853,c_1739]) ).
cnf(c_2925,plain,
( multiply(sP10_iProver_def,sP11_iProver_def) = sP8_iProver_def
| sk_c6 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_880,c_945]) ).
cnf(c_2926,plain,
( sk_c6 = sP11_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2925,c_1739]) ).
cnf(c_3061,plain,
multiply(sk_c3,sP12_iProver_def) = multiply(sP7_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_260,c_924]) ).
cnf(c_3220,plain,
multiply(sP8_iProver_def,multiply(sP7_iProver_def,sk_c7)) = sP12_iProver_def,
inference(superposition,[status(thm)],[c_3061,c_939]) ).
cnf(c_3272,plain,
multiply(sk_c2,sP12_iProver_def) = multiply(sP9_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_260,c_925]) ).
cnf(c_3369,plain,
multiply(sP5_iProver_def,multiply(sP9_iProver_def,sk_c7)) = sP12_iProver_def,
inference(superposition,[status(thm)],[c_3272,c_948]) ).
cnf(c_4155,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_927,c_67]) ).
cnf(c_4160,plain,
multiply(inverse(sk_c6),sP12_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_260,c_4155]) ).
cnf(c_4164,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_67,c_4155]) ).
cnf(c_4165,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_68,c_4155]) ).
cnf(c_4225,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_939,c_4155]) ).
cnf(c_4226,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_942,c_4155]) ).
cnf(c_4227,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_945,c_4155]) ).
cnf(c_4228,plain,
multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_948,c_4155]) ).
cnf(c_4250,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4155,c_4155]) ).
cnf(c_4576,plain,
( sk_c7 != sP10_iProver_def
| sP8_iProver_def != sP10_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_800]) ).
cnf(c_4608,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_4165,c_4250]) ).
cnf(c_4629,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_4608,c_4164]) ).
cnf(c_4986,plain,
( sk_c6 != sP11_iProver_def
| ~ sP3_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_277,c_984]) ).
cnf(c_4987,plain,
( sk_c6 != sP11_iProver_def
| ~ sP3_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_276,c_984]) ).
cnf(c_4988,plain,
( sk_c6 != sP11_iProver_def
| ~ sP3_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_275,c_984]) ).
cnf(c_4989,plain,
( sk_c6 != sP11_iProver_def
| ~ sP3_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_274,c_984]) ).
cnf(c_5052,plain,
( ~ sP3_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4986,c_2926,c_4986]) ).
cnf(c_5071,plain,
( ~ sP3_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4987,c_2854,c_4987]) ).
cnf(c_5090,plain,
( ~ sP3_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4988,c_2045,c_4988]) ).
cnf(c_5111,plain,
( ~ sP3_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4989,c_2021,c_4989]) ).
cnf(c_5117,plain,
( sk_c6 = sP4_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_261,c_5111]) ).
cnf(c_5291,plain,
( sk_c6 != sP6_iProver_def
| ~ sP2_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_463,c_1120]) ).
cnf(c_5332,plain,
( ~ sP2_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_5291,c_478]) ).
cnf(c_5359,plain,
( sP9_iProver_def != sP12_iProver_def
| ~ sP1_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_266,c_1155]) ).
cnf(c_5386,plain,
( ~ sP1_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_5359,c_463]) ).
cnf(c_5389,plain,
( sk_c6 = sP4_iProver_def
| sP0_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_5117,c_5386]) ).
cnf(c_5522,plain,
( sP4_iProver_def != sP8_iProver_def
| sP7_iProver_def != sP12_iProver_def
| ~ sP1_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_463,c_1159]) ).
cnf(c_5736,plain,
( sk_c7 != sP8_iProver_def
| ~ sP0_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_523,c_1298]) ).
cnf(c_5898,plain,
( multiply(sk_c3,sk_c7) != sk_c6
| inverse(inverse(sP8_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_4225,c_262]) ).
cnf(c_5899,plain,
multiply(sk_c3,sP8_iProver_def) = identity,
inference(superposition,[status(thm)],[c_4225,c_68]) ).
cnf(c_5902,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| inverse(inverse(sP8_iProver_def)) != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_4225,c_265]) ).
cnf(c_5906,plain,
multiply(sk_c3,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_4225,c_4608]) ).
cnf(c_5915,plain,
( inverse(inverse(sP8_iProver_def)) != sk_c7
| sk_c7 != sP7_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5902,c_255]) ).
cnf(c_5930,plain,
inverse(sP8_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_5906,c_4608]) ).
cnf(c_6059,plain,
( ~ sP0_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_5736,c_648,c_2008,c_4576,c_5736]) ).
cnf(c_6078,plain,
multiply(sk_c4,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_4226,c_68]) ).
cnf(c_6082,plain,
( multiply(sk_c4,sk_c6) != sP12_iProver_def
| inverse(inverse(sP6_iProver_def)) != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_4226,c_1134]) ).
cnf(c_6083,plain,
multiply(sk_c4,multiply(sP6_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_4226,c_4155]) ).
cnf(c_6084,plain,
( multiply(sk_c4,sP12_iProver_def) != sk_c6
| inverse(inverse(sP6_iProver_def)) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_4226,c_1109]) ).
cnf(c_6085,plain,
multiply(sk_c4,identity) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_4226,c_4608]) ).
cnf(c_6086,plain,
( inverse(inverse(sP6_iProver_def)) != sk_c6
| sk_c6 != sP4_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6084,c_492]) ).
cnf(c_6123,plain,
inverse(sP6_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_6085,c_4608]) ).
cnf(c_6339,plain,
( sk_c6 != identity
| sk_c6 != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1143,c_4629]) ).
cnf(c_6357,plain,
( sk_c6 != identity
| sP4_iProver_def != sP12_iProver_def
| ~ sP1_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_463,c_6339]) ).
cnf(c_6436,plain,
( multiply(sk_c4,sP12_iProver_def) = sk_c7
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_756,c_6083]) ).
cnf(c_6443,plain,
( multiply(sk_c4,sP12_iProver_def) = sP8_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_2641,c_6083]) ).
cnf(c_6452,plain,
( sP4_iProver_def = sP8_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6443,c_492]) ).
cnf(c_6464,plain,
( sk_c7 = sP4_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6436,c_492]) ).
cnf(c_8034,plain,
( multiply(sk_c6,sP4_iProver_def) = sP12_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_6464,c_260]) ).
cnf(c_8143,plain,
multiply(sk_c1,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_4227,c_68]) ).
cnf(c_8148,plain,
multiply(sk_c1,multiply(sP10_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_4227,c_4155]) ).
cnf(c_8164,plain,
( sk_c7 = sP8_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_650,c_8143]) ).
cnf(c_8165,plain,
( sk_c7 = sP7_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_623,c_8143]) ).
cnf(c_8166,plain,
( sk_c6 = sP6_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_584,c_8143]) ).
cnf(c_8493,plain,
( identity = sP11_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_8165,c_8164]) ).
cnf(c_10347,plain,
( multiply(sk_c3,sP12_iProver_def) = multiply(sP7_iProver_def,sP4_iProver_def)
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_8034,c_924]) ).
cnf(c_10349,plain,
( multiply(sP7_iProver_def,sk_c7) = multiply(sP7_iProver_def,sP4_iProver_def)
| sP9_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10347,c_3061]) ).
cnf(c_10368,plain,
multiply(sk_c2,sP5_iProver_def) = identity,
inference(superposition,[status(thm)],[c_4228,c_68]) ).
cnf(c_10371,plain,
( multiply(sk_c2,sk_c6) != sk_c7
| inverse(inverse(sP5_iProver_def)) != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_4228,c_265]) ).
cnf(c_10372,plain,
( multiply(sk_c2,sk_c6) != sP12_iProver_def
| inverse(inverse(sP5_iProver_def)) != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_4228,c_1134]) ).
cnf(c_10375,plain,
multiply(sk_c2,identity) = inverse(sP5_iProver_def),
inference(superposition,[status(thm)],[c_4228,c_4608]) ).
cnf(c_10380,plain,
( inverse(inverse(sP5_iProver_def)) != sk_c6
| sP9_iProver_def != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10372,c_257]) ).
cnf(c_10384,plain,
( inverse(inverse(sP5_iProver_def)) != sk_c7
| sk_c7 != sP9_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10371,c_257]) ).
cnf(c_10393,plain,
( identity = sP9_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_1404,c_10368]) ).
cnf(c_10471,plain,
inverse(sP5_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_10375,c_4608]) ).
cnf(c_10822,plain,
( sP7_iProver_def = sP8_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_10393,c_8493]) ).
cnf(c_11785,plain,
( sP5_iProver_def = sP9_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_10822,c_1547]) ).
cnf(c_12458,plain,
( multiply(sk_c3,sk_c7) != sk_c6
| sk_c7 != sP8_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5898,c_256,c_5930]) ).
cnf(c_12462,plain,
( multiply(sk_c3,sk_c7) != sk_c6
| ~ sP3_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_12458,c_5052]) ).
cnf(c_13148,plain,
( multiply(sP11_iProver_def,X0) = X0
| sk_c6 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1814,c_8148]) ).
cnf(c_13170,plain,
( sk_c6 = sP4_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_13148,c_755]) ).
cnf(c_13491,plain,
( multiply(sP5_iProver_def,sP12_iProver_def) = sP12_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_13170,c_759]) ).
cnf(c_13770,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_13491,c_12462,c_11785,c_10471,c_10384,c_10380,c_10368,c_10349,c_8166,c_8165,c_6464,c_6452,c_6357,c_6123,c_6086,c_6082,c_6078,c_6059,c_5930,c_5915,c_5899,c_5522,c_5389,c_5332,c_5111,c_5090,c_5071,c_5052,c_4629,c_4160,c_3369,c_3272,c_3220,c_2854,c_2045,c_1857,c_1724,c_1689,c_1298,c_1120,c_1117,c_969,c_492,c_269,c_268,c_267,c_266,c_257,c_256,c_255,c_254,c_253,c_261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP315-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 2 23:59:43 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 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
% 4.17/1.16 % SZS status Started for theBenchmark.p
% 4.17/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.17/1.16
% 4.17/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.17/1.16
% 4.17/1.16 ------ iProver source info
% 4.17/1.16
% 4.17/1.16 git: date: 2024-05-02 19:28:25 +0000
% 4.17/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.17/1.16 git: non_committed_changes: false
% 4.17/1.16
% 4.17/1.16 ------ Parsing...successful
% 4.17/1.16
% 4.17/1.16
% 4.17/1.16
% 4.17/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.17/1.16
% 4.17/1.16 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.17/1.16
% 4.17/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.17/1.16 ------ Proving...
% 4.17/1.16 ------ Problem Properties
% 4.17/1.16
% 4.17/1.16
% 4.17/1.16 clauses 34
% 4.17/1.16 conjectures 22
% 4.17/1.16 EPR 18
% 4.17/1.16 Horn 17
% 4.17/1.16 unary 13
% 4.17/1.16 binary 16
% 4.17/1.16 lits 61
% 4.17/1.16 lits eq 53
% 4.17/1.16 fd_pure 0
% 4.17/1.16 fd_pseudo 0
% 4.17/1.16 fd_cond 0
% 4.17/1.16 fd_pseudo_cond 0
% 4.17/1.16 AC symbols 0
% 4.17/1.16
% 4.17/1.16 ------ Schedule dynamic 5 is on
% 4.17/1.16
% 4.17/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.17/1.16
% 4.17/1.16
% 4.17/1.16 ------
% 4.17/1.16 Current options:
% 4.17/1.16 ------
% 4.17/1.16
% 4.17/1.16
% 4.17/1.16
% 4.17/1.16
% 4.17/1.16 ------ Proving...
% 4.17/1.16
% 4.17/1.16
% 4.17/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.17/1.16
% 4.17/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.17/1.16
% 4.17/1.16
%------------------------------------------------------------------------------