TSTP Solution File: GRP311-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP311-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 : Thu Aug 31 00:59:16 EDT 2023
% Result : Unsatisfiable 7.88s 1.66s
% Output : CNFRefutation 7.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 30
% Syntax : Number of clauses : 181 ( 38 unt; 107 nHn; 142 RR)
% Number of literals : 383 ( 354 equ; 107 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 81 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c2
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c2
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_75,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_77,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,sk_c7) != X1
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c5) != sk_c6
| multiply(sk_c7,X1) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6
| inverse(sk_c7) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_81,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_82,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c5) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| inverse(X1) != sk_c7
| inverse(X2) != sk_c6
| inverse(sk_c7) != sk_c5 ),
inference(unflattening,[status(thm)],[c_79]) ).
cnf(c_376,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_83]) ).
cnf(c_377,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_83]) ).
cnf(c_378,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| inverse(X0) != sk_c7
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_83]) ).
cnf(c_379,negated_conjecture,
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c7
| inverse(sk_c7) != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).
cnf(c_380,plain,
X0 = X0,
theory(equality) ).
cnf(c_381,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_382,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_600,plain,
( multiply(sk_c7,sk_c3) = identity
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_55,c_81]) ).
cnf(c_601,plain,
( multiply(sk_c6,sk_c4) = identity
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_57,c_81]) ).
cnf(c_724,plain,
( inverse(sk_c3) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_56,c_376]) ).
cnf(c_727,plain,
( inverse(sk_c5) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_376]) ).
cnf(c_728,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c6
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_376]) ).
cnf(c_812,plain,
( multiply(sk_c7,sk_c2) != sk_c6
| inverse(sk_c1) != sk_c7
| ~ sP2_iProver_split
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_73,c_378]) ).
cnf(c_818,plain,
( multiply(sk_c7,identity) != sk_c6
| inverse(inverse(sk_c7)) != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_378]) ).
cnf(c_891,plain,
( multiply(sk_c7,sk_c6) != X0
| sk_c5 != X0
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_902,plain,
( multiply(sk_c7,sk_c6) != multiply(X0,X1)
| sk_c5 != multiply(X0,X1)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(instantiation,[status(thm)],[c_891]) ).
cnf(c_903,plain,
( sk_c7 != X0
| sk_c6 != X1
| multiply(sk_c7,sk_c6) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_906,plain,
( ~ sP0_iProver_split
| inverse(sk_c7) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_724,c_55,c_724]) ).
cnf(c_919,plain,
( multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| multiply(sk_c5,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_61,c_82]) ).
cnf(c_922,plain,
( multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_56,c_82]) ).
cnf(c_925,plain,
( multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_53,c_82]) ).
cnf(c_927,plain,
( multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_58,c_82]) ).
cnf(c_939,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_941,plain,
( multiply(sk_c7,multiply(sk_c3,X0)) = multiply(identity,X0)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_600,c_82]) ).
cnf(c_958,plain,
( multiply(sk_c7,multiply(sk_c3,X0)) = X0
| inverse(sk_c7) = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_941,c_80]) ).
cnf(c_1059,plain,
( inverse(X0) != X1
| sk_c7 != X1
| inverse(X0) = sk_c7 ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1073,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_380]) ).
cnf(c_1074,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1079,plain,
( inverse(sk_c7) != sk_c5
| sk_c7 != sk_c5
| inverse(sk_c7) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1059]) ).
cnf(c_1090,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_1074]) ).
cnf(c_1091,plain,
( sk_c7 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1090]) ).
cnf(c_1100,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_939,c_80]) ).
cnf(c_1110,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c7
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_54,c_1100]) ).
cnf(c_1112,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_61,c_1100]) ).
cnf(c_1115,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c6
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_56,c_1100]) ).
cnf(c_1120,plain,
( multiply(inverse(sk_c4),sk_c6) = sk_c5
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_58,c_1100]) ).
cnf(c_1122,plain,
( multiply(inverse(sk_c5),sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_1100]) ).
cnf(c_1123,plain,
( multiply(inverse(sk_c5),sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_1100]) ).
cnf(c_1126,plain,
( multiply(inverse(sk_c1),sk_c2) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_73,c_1100]) ).
cnf(c_1129,plain,
( multiply(inverse(sk_c1),sk_c2) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_72,c_1100]) ).
cnf(c_1130,plain,
( multiply(inverse(sk_c1),sk_c2) = sk_c7
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_70,c_1100]) ).
cnf(c_1131,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_1100]) ).
cnf(c_1132,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_1100]) ).
cnf(c_1133,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_82,c_1100]) ).
cnf(c_1138,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1100,c_1100]) ).
cnf(c_1288,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1132,c_1138]) ).
cnf(c_1296,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1288,c_1131]) ).
cnf(c_1348,plain,
( X0 != X1
| sk_c5 != X1
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1353,plain,
( multiply(inverse(sk_c7),X0) = multiply(sk_c3,X0)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_55,c_1138]) ).
cnf(c_1354,plain,
( multiply(inverse(sk_c6),X0) = multiply(sk_c4,X0)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_57,c_1138]) ).
cnf(c_1358,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1138,c_81]) ).
cnf(c_1363,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1138,c_1100]) ).
cnf(c_1364,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1138,c_1288]) ).
cnf(c_1365,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1364,c_1288]) ).
cnf(c_1414,plain,
( inverse(sk_c7) = sk_c5
| inverse(sk_c6) = sk_c4 ),
inference(superposition,[status(thm)],[c_57,c_1365]) ).
cnf(c_1731,plain,
( multiply(sk_c4,sk_c5) = sk_c7
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_1414,c_1110]) ).
cnf(c_1733,plain,
( multiply(inverse(sk_c6),multiply(sk_c5,X0)) = multiply(sk_c7,X0)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_1110,c_82]) ).
cnf(c_1799,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1358,c_82]) ).
cnf(c_1860,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c7 != sk_c6
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_1363,c_378]) ).
cnf(c_1873,plain,
( sk_c7 != sk_c6
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_1860,c_1365]) ).
cnf(c_2163,plain,
( multiply(inverse(sk_c3),multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_1115,c_82]) ).
cnf(c_2445,plain,
( multiply(sk_c6,sk_c6) = sk_c5
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_57,c_1120]) ).
cnf(c_2447,plain,
( multiply(inverse(sk_c4),multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_1120,c_82]) ).
cnf(c_2462,plain,
( multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_2445,c_82]) ).
cnf(c_2578,plain,
( multiply(sk_c7,sk_c2) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_77,c_1129]) ).
cnf(c_2652,plain,
( inverse(sk_c4) = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_2578,c_67]) ).
cnf(c_2885,plain,
( inverse(sk_c6) = sk_c4
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_2652,c_1365]) ).
cnf(c_2943,plain,
( multiply(sk_c3,multiply(sk_c6,inverse(sk_c7))) = identity
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_56,c_1799]) ).
cnf(c_2948,plain,
( multiply(sk_c4,multiply(sk_c5,inverse(sk_c6))) = identity
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_58,c_1799]) ).
cnf(c_2957,plain,
( multiply(sk_c1,multiply(sk_c7,inverse(sk_c2))) = identity
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_73,c_1799]) ).
cnf(c_3239,plain,
( X0 != sk_c5
| sk_c5 != sk_c5
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_1348]) ).
cnf(c_3240,plain,
sk_c5 = sk_c5,
inference(instantiation,[status(thm)],[c_380]) ).
cnf(c_3417,plain,
( multiply(sk_c7,sk_c2) = sk_c7
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_75,c_1130]) ).
cnf(c_3446,plain,
( inverse(sk_c3) = sk_c7
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3417,c_65]) ).
cnf(c_3468,plain,
( inverse(sk_c7) = sk_c3
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3446,c_1365]) ).
cnf(c_3512,plain,
( sk_c7 != sk_c6
| sk_c7 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_728,c_1296]) ).
cnf(c_3792,plain,
( inverse(sk_c7) = sk_c5
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_1731,c_58]) ).
cnf(c_3794,plain,
( multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sk_c7,X0)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_1731,c_82]) ).
cnf(c_3814,plain,
( sk_c7 = sk_c6
| sk_c5 = sk_c3 ),
inference(superposition,[status(thm)],[c_3792,c_3468]) ).
cnf(c_3824,plain,
( inverse(sk_c5) = sk_c7
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3792,c_1365]) ).
cnf(c_4087,plain,
( multiply(inverse(inverse(sk_c3)),sk_c6) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_1112,c_1100]) ).
cnf(c_4510,plain,
( multiply(sk_c5,sk_c6) = sk_c7
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3814,c_61]) ).
cnf(c_4593,plain,
( multiply(inverse(sk_c5),sk_c7) = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_4510,c_1100]) ).
cnf(c_4595,plain,
( inverse(sk_c5) != sk_c7
| ~ sP0_iProver_split
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_4510,c_376]) ).
cnf(c_4604,plain,
( ~ sP0_iProver_split
| sk_c7 = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_4595,c_3824,c_4595]) ).
cnf(c_4610,plain,
( sk_c7 != identity
| ~ sP0_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_3512,c_4604]) ).
cnf(c_4641,plain,
( multiply(inverse(inverse(sk_c1)),sk_c7) = sk_c2
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_1126,c_1100]) ).
cnf(c_4746,plain,
( sk_c7 != sk_c6
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_903]) ).
cnf(c_5062,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_1358,c_1133]) ).
cnf(c_5081,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_5062,c_1288]) ).
cnf(c_6551,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_3239]) ).
cnf(c_6579,plain,
( multiply(inverse(sk_c5),sk_c7) = inverse(sk_c6)
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_52,c_5081]) ).
cnf(c_6580,plain,
( multiply(inverse(sk_c5),sk_c7) = inverse(sk_c6)
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_50,c_5081]) ).
cnf(c_6584,plain,
( multiply(inverse(sk_c5),sk_c6) = inverse(sk_c7)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_54,c_5081]) ).
cnf(c_6634,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_1100,c_5081]) ).
cnf(c_7177,plain,
( multiply(sk_c7,sk_c6) != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(instantiation,[status(thm)],[c_902]) ).
cnf(c_7406,plain,
( inverse(sk_c6) = sk_c6
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_6579,c_1122]) ).
cnf(c_7462,plain,
( inverse(sk_c6) = sk_c6
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_6580,c_1123]) ).
cnf(c_7755,plain,
( inverse(sk_c6) = sk_c6
| inverse(sk_c6) = sk_c4 ),
inference(superposition,[status(thm)],[c_7406,c_1365]) ).
cnf(c_7873,plain,
( multiply(sk_c3,sk_c7) = identity
| inverse(sk_c6) = sk_c6 ),
inference(superposition,[status(thm)],[c_7462,c_1358]) ).
cnf(c_7874,plain,
( inverse(sk_c7) = sk_c3
| inverse(sk_c6) = sk_c6 ),
inference(superposition,[status(thm)],[c_7462,c_1365]) ).
cnf(c_8498,plain,
( multiply(sk_c7,identity) = multiply(sk_c3,sk_c6)
| multiply(sk_c5,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_1288,c_919]) ).
cnf(c_9140,plain,
( multiply(sk_c3,identity) = inverse(sk_c7)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_1353,c_1288]) ).
cnf(c_10054,plain,
( multiply(sk_c6,inverse(sk_c7)) = multiply(sk_c7,identity)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_2943,c_958]) ).
cnf(c_10242,plain,
( multiply(sk_c4,multiply(multiply(sk_c5,inverse(sk_c6)),X0)) = multiply(identity,X0)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_2948,c_82]) ).
cnf(c_10250,plain,
( multiply(sk_c4,multiply(multiply(sk_c5,inverse(sk_c6)),X0)) = X0
| inverse(sk_c7) = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_10242,c_80]) ).
cnf(c_10417,plain,
( multiply(sk_c7,inverse(sk_c6)) = multiply(sk_c3,identity)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_1358,c_922]) ).
cnf(c_10803,plain,
( multiply(sk_c7,sk_c7) = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3824,c_4593]) ).
cnf(c_11933,plain,
( multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_10803,c_82]) ).
cnf(c_12557,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c6,sk_c7)
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_10803,c_11933]) ).
cnf(c_12931,plain,
( multiply(inverse(multiply(sk_c5,inverse(sk_c6))),inverse(sk_c4)) = inverse(identity)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_2948,c_6634]) ).
cnf(c_13219,plain,
( multiply(inverse(multiply(sk_c5,inverse(sk_c6))),inverse(sk_c4)) = identity
| inverse(sk_c7) = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_12931,c_1296]) ).
cnf(c_14332,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(global_subsumption_just,[status(thm)],[c_925,c_49,c_1073,c_1091,c_3240,c_4746,c_6551,c_7177,c_12557]) ).
cnf(c_14345,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c7
| inverse(sk_c7) != sk_c5
| sk_c5 != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_379,c_14332]) ).
cnf(c_14346,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c7
| inverse(sk_c7) != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_14345]) ).
cnf(c_14360,plain,
multiply(inverse(sk_c7),sk_c5) = sk_c6,
inference(superposition,[status(thm)],[c_14332,c_1100]) ).
cnf(c_14361,plain,
multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_14332,c_82]) ).
cnf(c_14362,plain,
( inverse(sk_c7) != sk_c7
| sk_c7 != sk_c5
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_14332,c_376]) ).
cnf(c_14363,plain,
multiply(inverse(sk_c6),inverse(sk_c7)) = inverse(sk_c5),
inference(superposition,[status(thm)],[c_14332,c_6634]) ).
cnf(c_14397,plain,
multiply(sk_c5,inverse(sk_c6)) = multiply(sk_c7,identity),
inference(superposition,[status(thm)],[c_1358,c_14361]) ).
cnf(c_14560,plain,
( inverse(inverse(sk_c7)) != sk_c6
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_14360,c_377]) ).
cnf(c_14582,plain,
( multiply(sk_c4,inverse(sk_c7)) = inverse(sk_c5)
| inverse(sk_c6) = sk_c6 ),
inference(superposition,[status(thm)],[c_7755,c_14363]) ).
cnf(c_14583,plain,
( multiply(sk_c4,inverse(sk_c7)) = inverse(sk_c5)
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_2885,c_14363]) ).
cnf(c_14594,plain,
multiply(inverse(sk_c6),multiply(inverse(sk_c7),X0)) = multiply(inverse(sk_c5),X0),
inference(superposition,[status(thm)],[c_14363,c_82]) ).
cnf(c_14595,plain,
multiply(sk_c6,inverse(sk_c5)) = inverse(sk_c7),
inference(superposition,[status(thm)],[c_14363,c_1363]) ).
cnf(c_14596,plain,
( multiply(sk_c4,inverse(sk_c7)) = inverse(sk_c5)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_14363,c_1354]) ).
cnf(c_14625,plain,
multiply(sk_c6,multiply(inverse(sk_c5),X0)) = multiply(inverse(sk_c7),X0),
inference(superposition,[status(thm)],[c_14595,c_82]) ).
cnf(c_14626,plain,
multiply(sk_c7,inverse(sk_c7)) = multiply(sk_c5,inverse(sk_c5)),
inference(superposition,[status(thm)],[c_14595,c_14361]) ).
cnf(c_14634,plain,
multiply(inverse(inverse(sk_c5)),inverse(sk_c6)) = inverse(inverse(sk_c7)),
inference(superposition,[status(thm)],[c_14595,c_6634]) ).
cnf(c_14652,plain,
( sk_c7 != sk_c6
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_14560,c_1365]) ).
cnf(c_14657,plain,
( sk_c7 != sk_c5
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_14362,c_906,c_1079,c_14362]) ).
cnf(c_15099,plain,
( multiply(inverse(sk_c7),sk_c6) = multiply(sk_c6,inverse(sk_c7))
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_6584,c_14625]) ).
cnf(c_15289,plain,
multiply(inverse(sk_c6),identity) = multiply(inverse(sk_c5),sk_c7),
inference(superposition,[status(thm)],[c_81,c_14594]) ).
cnf(c_15291,plain,
multiply(inverse(sk_c6),sk_c6) = multiply(inverse(sk_c5),sk_c5),
inference(superposition,[status(thm)],[c_14360,c_14594]) ).
cnf(c_15505,plain,
multiply(inverse(sk_c5),sk_c7) = inverse(sk_c6),
inference(demodulation,[status(thm)],[c_15289,c_1288]) ).
cnf(c_15508,plain,
multiply(inverse(inverse(sk_c5)),inverse(sk_c6)) = sk_c7,
inference(superposition,[status(thm)],[c_15505,c_1100]) ).
cnf(c_15510,plain,
multiply(sk_c5,inverse(sk_c6)) = sk_c7,
inference(superposition,[status(thm)],[c_15505,c_1363]) ).
cnf(c_15519,plain,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c7) = sk_c3 ),
inference(superposition,[status(thm)],[c_7874,c_15510]) ).
cnf(c_15524,plain,
( multiply(sk_c5,sk_c4) = sk_c7
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_1414,c_15510]) ).
cnf(c_16604,plain,
( multiply(inverse(sk_c1),identity) = multiply(sk_c7,inverse(sk_c2))
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_2957,c_1100]) ).
cnf(c_20739,plain,
( multiply(sk_c6,sk_c5) = multiply(sk_c5,sk_c7)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_54,c_2462]) ).
cnf(c_20905,plain,
( multiply(sk_c4,multiply(sk_c6,sk_c5)) = multiply(sk_c6,sk_c7)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_20739,c_927]) ).
cnf(c_23445,plain,
( multiply(sk_c4,multiply(sk_c6,sk_c5)) = multiply(sk_c7,sk_c7)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_20739,c_3794]) ).
cnf(c_23928,plain,
( multiply(inverse(sk_c7),inverse(sk_c3)) = inverse(identity)
| inverse(sk_c6) = sk_c6 ),
inference(superposition,[status(thm)],[c_7873,c_6634]) ).
cnf(c_23931,plain,
( multiply(inverse(sk_c7),inverse(sk_c3)) = identity
| inverse(sk_c6) = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_23928,c_1296]) ).
cnf(c_24190,plain,
( multiply(inverse(sk_c6),sk_c7) = multiply(sk_c7,inverse(sk_c6))
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_15510,c_1733]) ).
cnf(c_24881,plain,
( multiply(inverse(sk_c3),sk_c7) = multiply(sk_c6,identity)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_1288,c_2163]) ).
cnf(c_25346,plain,
( multiply(inverse(sk_c4),identity) = multiply(sk_c5,sk_c4)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_601,c_2447]) ).
cnf(c_32561,plain,
( multiply(inverse(sk_c6),sk_c7) = multiply(sk_c7,sk_c4)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_15524,c_1733]) ).
cnf(c_32563,plain,
( multiply(sk_c7,sk_c4) = multiply(sk_c4,sk_c7)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_15524,c_3794]) ).
cnf(c_33033,plain,
( multiply(sk_c4,multiply(sk_c7,X0)) = X0
| inverse(sk_c7) = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_10250,c_15510]) ).
cnf(c_33068,plain,
( multiply(sk_c4,sk_c7) = identity
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_1288,c_33033]) ).
cnf(c_33443,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_33068,c_32563,c_32561,c_25346,c_24881,c_24190,c_23931,c_23445,c_20905,c_16604,c_15524,c_15519,c_15510,c_15508,c_15505,c_15291,c_15099,c_14657,c_14652,c_14634,c_14626,c_14595,c_14583,c_14582,c_14596,c_14560,c_14397,c_14360,c_14346,c_13219,c_10417,c_10054,c_9140,c_8498,c_4641,c_4610,c_4087,c_2957,c_1873,c_1126,c_818,c_812,c_727,c_78,c_73,c_72,c_70,c_69,c_68,c_63,c_57,c_55,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP311-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n022.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 : Tue Aug 29 01:02:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.88/1.66 % SZS status Started for theBenchmark.p
% 7.88/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 7.88/1.66
% 7.88/1.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.88/1.66
% 7.88/1.66 ------ iProver source info
% 7.88/1.66
% 7.88/1.66 git: date: 2023-05-31 18:12:56 +0000
% 7.88/1.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.88/1.66 git: non_committed_changes: false
% 7.88/1.66 git: last_make_outside_of_git: false
% 7.88/1.66
% 7.88/1.66 ------ Parsing...successful
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.88/1.66
% 7.88/1.66 ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.88/1.66
% 7.88/1.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.88/1.66 ------ Proving...
% 7.88/1.66 ------ Problem Properties
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66 clauses 37
% 7.88/1.66 conjectures 34
% 7.88/1.66 EPR 0
% 7.88/1.66 Horn 6
% 7.88/1.66 unary 3
% 7.88/1.66 binary 30
% 7.88/1.66 lits 79
% 7.88/1.66 lits eq 73
% 7.88/1.66 fd_pure 0
% 7.88/1.66 fd_pseudo 0
% 7.88/1.66 fd_cond 0
% 7.88/1.66 fd_pseudo_cond 0
% 7.88/1.66 AC symbols 0
% 7.88/1.66
% 7.88/1.66 ------ Schedule dynamic 5 is on
% 7.88/1.66
% 7.88/1.66 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66 ------
% 7.88/1.66 Current options:
% 7.88/1.66 ------
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66 ------ Proving...
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 7.88/1.66
% 7.88/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.88/1.66
% 7.88/1.67
%------------------------------------------------------------------------------