TSTP Solution File: GRP217-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP217-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 00:58:44 EDT 2023
% Result : Unsatisfiable 6.03s 1.72s
% Output : CNFRefutation 6.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 36
% Syntax : Number of clauses : 177 ( 47 unt; 79 nHn; 155 RR)
% Number of literals : 387 ( 347 equ; 135 neg)
% Maximal clause size : 14 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 73 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_54,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c6,sk_c7) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c11
| multiply(sk_c2,sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c10
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c10
| inverse(sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c11
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c8) = sk_c11
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c11,sk_c5) = sk_c10
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c11,sk_c5) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c11,sk_c5) = sk_c10
| multiply(sk_c8,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( multiply(sk_c11,sk_c5) = sk_c10
| inverse(sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_86,negated_conjecture,
( multiply(sk_c4,sk_c11) = sk_c5
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_88,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c4,sk_c11) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c4,sk_c11) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,negated_conjecture,
( multiply(sk_c4,sk_c11) = sk_c5
| inverse(sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_91,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c11
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
cnf(c_94,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
cnf(c_95,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
cnf(c_96,negated_conjecture,
( inverse(sk_c8) = sk_c11
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
cnf(c_97,negated_conjecture,
( multiply(X0,X1) != sk_c10
| multiply(X2,X3) != sk_c11
| multiply(X1,sk_c11) != sk_c10
| multiply(X3,sk_c10) != sk_c11
| multiply(X4,sk_c10) != sk_c11
| multiply(X5,sk_c11) != X6
| multiply(X7,sk_c11) != X8
| multiply(sk_c11,X6) != sk_c10
| multiply(sk_c11,X8) != sk_c10
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X4) != sk_c11
| inverse(X5) != sk_c11
| inverse(X7) != sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
cnf(c_98,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_99,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_100,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_101,negated_conjecture,
( multiply(sk_c11,multiply(X0,sk_c11)) != sk_c10
| multiply(sk_c11,multiply(X1,sk_c11)) != sk_c10
| multiply(X2,inverse(X2)) != sk_c10
| multiply(X3,inverse(X3)) != sk_c11
| multiply(inverse(X2),sk_c11) != sk_c10
| multiply(inverse(X3),sk_c10) != sk_c11
| multiply(X4,sk_c10) != sk_c11
| inverse(X0) != sk_c11
| inverse(X1) != sk_c11
| inverse(X4) != sk_c11 ),
inference(unflattening,[status(thm)],[c_97]) ).
cnf(c_538,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c11) != sk_c10
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_101]) ).
cnf(c_539,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_101]) ).
cnf(c_540,negated_conjecture,
( multiply(sk_c11,multiply(X0,sk_c11)) != sk_c10
| inverse(X0) != sk_c11
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_101]) ).
cnf(c_541,negated_conjecture,
( multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c11
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_101]) ).
cnf(c_542,negated_conjecture,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_101]) ).
cnf(c_543,plain,
X0 = X0,
theory(equality) ).
cnf(c_544,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_549,plain,
sk_c11 = sk_c11,
inference(instantiation,[status(thm)],[c_543]) ).
cnf(c_1054,plain,
( inverse(sk_c1) != sk_c11
| ~ sP3_iProver_split
| inverse(sk_c8) = sk_c11 ),
inference(superposition,[status(thm)],[c_60,c_541]) ).
cnf(c_1055,plain,
( inverse(sk_c1) != sk_c11
| ~ sP3_iProver_split
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_56,c_541]) ).
cnf(c_1056,plain,
( inverse(identity) != sk_c11
| sk_c11 != sk_c10
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_98,c_541]) ).
cnf(c_1100,plain,
( multiply(sk_c11,sk_c9) != sk_c10
| inverse(sk_c8) != sk_c11
| ~ sP2_iProver_split
| multiply(sk_c11,sk_c5) = sk_c10 ),
inference(superposition,[status(thm)],[c_83,c_540]) ).
cnf(c_1101,plain,
( multiply(sk_c11,sk_c9) != sk_c10
| inverse(sk_c8) != sk_c11
| ~ sP2_iProver_split
| multiply(sk_c3,sk_c11) = sk_c10 ),
inference(superposition,[status(thm)],[c_77,c_540]) ).
cnf(c_1102,plain,
( multiply(sk_c11,sk_c9) != sk_c10
| inverse(sk_c8) != sk_c11
| ~ sP2_iProver_split
| inverse(sk_c4) = sk_c11 ),
inference(superposition,[status(thm)],[c_95,c_540]) ).
cnf(c_1103,plain,
( multiply(sk_c11,sk_c9) != sk_c10
| inverse(sk_c8) != sk_c11
| ~ sP2_iProver_split
| inverse(sk_c2) = sk_c3 ),
inference(superposition,[status(thm)],[c_71,c_540]) ).
cnf(c_1110,plain,
( multiply(sk_c11,sk_c5) != sk_c10
| inverse(sk_c4) != sk_c11
| ~ sP2_iProver_split
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(superposition,[status(thm)],[c_88,c_540]) ).
cnf(c_1113,plain,
( multiply(sk_c11,sk_c5) != sk_c10
| inverse(sk_c4) != sk_c11
| ~ sP2_iProver_split
| inverse(sk_c8) = sk_c11 ),
inference(superposition,[status(thm)],[c_90,c_540]) ).
cnf(c_1114,plain,
( multiply(sk_c11,sk_c5) != sk_c10
| inverse(sk_c4) != sk_c11
| ~ sP2_iProver_split
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_86,c_540]) ).
cnf(c_1116,plain,
( inverse(inverse(sk_c11)) != sk_c11
| multiply(sk_c11,identity) != sk_c10
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_99,c_540]) ).
cnf(c_1226,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_99,c_100]) ).
cnf(c_1400,plain,
( X0 != X1
| sk_c10 != X1
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_544]) ).
cnf(c_1401,plain,
( X0 != sk_c10
| sk_c10 != sk_c10
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1400]) ).
cnf(c_1402,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_543]) ).
cnf(c_1403,plain,
( sk_c11 != sk_c10
| sk_c10 != sk_c10
| sk_c10 = sk_c11 ),
inference(instantiation,[status(thm)],[c_1401]) ).
cnf(c_1407,plain,
( multiply(sk_c11,sk_c9) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c11,sk_c9) ),
inference(instantiation,[status(thm)],[c_1401]) ).
cnf(c_1411,plain,
( X0 != X1
| sk_c10 != X1
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_544]) ).
cnf(c_1426,plain,
( X0 != multiply(sk_c11,sk_c9)
| sk_c10 != multiply(sk_c11,sk_c9)
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1411]) ).
cnf(c_1427,plain,
( sk_c11 != multiply(sk_c11,sk_c9)
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1426]) ).
cnf(c_1434,plain,
( multiply(sk_c11,sk_c5) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c11,sk_c5) ),
inference(instantiation,[status(thm)],[c_1401]) ).
cnf(c_1468,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1226,c_98]) ).
cnf(c_1487,plain,
( multiply(inverse(sk_c8),sk_c9) = sk_c11
| multiply(sk_c11,sk_c5) = sk_c10 ),
inference(superposition,[status(thm)],[c_83,c_1468]) ).
cnf(c_1488,plain,
( multiply(inverse(sk_c8),sk_c9) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
inference(superposition,[status(thm)],[c_77,c_1468]) ).
cnf(c_1489,plain,
( multiply(inverse(sk_c8),sk_c9) = sk_c11
| inverse(sk_c4) = sk_c11 ),
inference(superposition,[status(thm)],[c_95,c_1468]) ).
cnf(c_1490,plain,
( multiply(inverse(sk_c8),sk_c9) = sk_c11
| inverse(sk_c2) = sk_c3 ),
inference(superposition,[status(thm)],[c_71,c_1468]) ).
cnf(c_1512,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(superposition,[status(thm)],[c_88,c_1468]) ).
cnf(c_1515,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c11
| inverse(sk_c8) = sk_c11 ),
inference(superposition,[status(thm)],[c_90,c_1468]) ).
cnf(c_1516,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c11
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_86,c_1468]) ).
cnf(c_1517,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_98,c_1468]) ).
cnf(c_1518,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_99,c_1468]) ).
cnf(c_1519,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_100,c_1468]) ).
cnf(c_1526,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1468,c_1468]) ).
cnf(c_1630,plain,
( X0 != multiply(sk_c11,sk_c5)
| sk_c10 != multiply(sk_c11,sk_c5)
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1411]) ).
cnf(c_1635,plain,
( sk_c11 != multiply(sk_c11,sk_c5)
| sk_c10 != multiply(sk_c11,sk_c5)
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1630]) ).
cnf(c_1665,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_543]) ).
cnf(c_1667,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_544]) ).
cnf(c_1678,plain,
( multiply(sk_c11,sk_c9) != X0
| X1 != X0
| X1 = multiply(sk_c11,sk_c9) ),
inference(instantiation,[status(thm)],[c_544]) ).
cnf(c_1679,plain,
( multiply(sk_c11,sk_c9) != sk_c11
| sk_c11 != sk_c11
| sk_c11 = multiply(sk_c11,sk_c9) ),
inference(instantiation,[status(thm)],[c_1678]) ).
cnf(c_1721,plain,
( multiply(sk_c11,sk_c5) != X0
| X1 != X0
| X1 = multiply(sk_c11,sk_c5) ),
inference(instantiation,[status(thm)],[c_544]) ).
cnf(c_1722,plain,
( multiply(sk_c11,sk_c5) != sk_c11
| sk_c11 != sk_c11
| sk_c11 = multiply(sk_c11,sk_c5) ),
inference(instantiation,[status(thm)],[c_1721]) ).
cnf(c_1741,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1518,c_1526]) ).
cnf(c_1749,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1741,c_1517]) ).
cnf(c_1770,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1526,c_99]) ).
cnf(c_1772,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1526,c_1468]) ).
cnf(c_1773,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_1526,c_1741]) ).
cnf(c_1774,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1773,c_1741]) ).
cnf(c_1795,plain,
inverse(inverse(sk_c11)) = sk_c11,
inference(instantiation,[status(thm)],[c_1774]) ).
cnf(c_1860,plain,
( multiply(inverse(X0),sk_c11) != sk_c10
| sk_c10 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_538,c_1770]) ).
cnf(c_1867,plain,
( sk_c10 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_99,c_1860]) ).
cnf(c_1880,plain,
( multiply(inverse(X0),sk_c10) != sk_c11
| sk_c11 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_539,c_1770]) ).
cnf(c_1887,plain,
( sk_c11 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_99,c_1880]) ).
cnf(c_2117,plain,
( multiply(sk_c2,sk_c3) = identity
| inverse(sk_c8) = sk_c11 ),
inference(superposition,[status(thm)],[c_72,c_1770]) ).
cnf(c_2118,plain,
( multiply(sk_c2,sk_c3) = identity
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_68,c_1770]) ).
cnf(c_2158,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_544]) ).
cnf(c_2612,plain,
( inverse(sk_c8) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_2117,c_66]) ).
cnf(c_2687,plain,
( inverse(sk_c6) = sk_c7
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_2118,c_62]) ).
cnf(c_3860,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_2158]) ).
cnf(c_3861,plain,
( sk_c11 != identity
| identity != identity
| identity = sk_c11 ),
inference(instantiation,[status(thm)],[c_3860]) ).
cnf(c_5658,plain,
( multiply(sk_c11,sk_c5) = sk_c11
| inverse(sk_c8) = sk_c11 ),
inference(superposition,[status(thm)],[c_96,c_1515]) ).
cnf(c_5690,plain,
( inverse(sk_c8) = sk_c11
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_5658,c_84]) ).
cnf(c_5722,plain,
( multiply(sk_c11,sk_c9) = sk_c11
| inverse(sk_c2) = sk_c3
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_5690,c_1490]) ).
cnf(c_5723,plain,
( multiply(sk_c11,sk_c9) = sk_c11
| inverse(sk_c4) = sk_c11
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_5690,c_1489]) ).
cnf(c_5725,plain,
( multiply(sk_c8,sk_c11) = identity
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_5690,c_1770]) ).
cnf(c_5768,plain,
( multiply(sk_c11,sk_c5) = sk_c11
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_92,c_1516]) ).
cnf(c_5788,plain,
( inverse(sk_c6) = sk_c7
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_5768,c_80]) ).
cnf(c_6213,plain,
( ~ sP3_iProver_split
| inverse(sk_c8) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_1054,c_54,c_1054]) ).
cnf(c_6219,plain,
( inverse(sk_c8) = sk_c11
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_542,c_6213]) ).
cnf(c_6224,plain,
( sP1_iProver_split
| inverse(sk_c8) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_6219,c_96,c_84,c_542,c_1113,c_1867,c_2612,c_6213]) ).
cnf(c_6225,plain,
( inverse(sk_c8) = sk_c11
| sP1_iProver_split ),
inference(renaming,[status(thm)],[c_6224]) ).
cnf(c_6230,plain,
( ~ sP3_iProver_split
| inverse(sk_c6) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1055,c_50,c_1055]) ).
cnf(c_6236,plain,
( inverse(sk_c6) = sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_542,c_6230]) ).
cnf(c_6241,plain,
( sP1_iProver_split
| inverse(sk_c6) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_6236,c_92,c_80,c_1114,c_1867,c_2687,c_6236]) ).
cnf(c_6242,plain,
( inverse(sk_c6) = sk_c7
| sP1_iProver_split ),
inference(renaming,[status(thm)],[c_6241]) ).
cnf(c_6247,plain,
( sk_c11 != sk_c10
| sk_c11 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1056,c_1749]) ).
cnf(c_6603,plain,
( inverse(sk_c4) = sk_c11
| sk_c11 = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_5725,c_95]) ).
cnf(c_6604,plain,
( inverse(sk_c2) = sk_c3
| sk_c11 = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_5725,c_71]) ).
cnf(c_7996,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_1770,c_1519]) ).
cnf(c_8095,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_7996,c_1741]) ).
cnf(c_10000,plain,
( multiply(inverse(sk_c10),sk_c2) = inverse(sk_c3)
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_62,c_8095]) ).
cnf(c_10003,plain,
( multiply(inverse(sk_c10),sk_c3) = inverse(sk_c11)
| inverse(sk_c8) = sk_c11 ),
inference(superposition,[status(thm)],[c_78,c_8095]) ).
cnf(c_13421,plain,
( sk_c11 = sk_c10
| inverse(sk_c4) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_6603,c_94,c_549,c_1402,c_1407,c_1427,c_1679,c_5723]) ).
cnf(c_13422,plain,
( inverse(sk_c4) = sk_c11
| sk_c11 = sk_c10 ),
inference(renaming,[status(thm)],[c_13421]) ).
cnf(c_13462,plain,
( sk_c11 = sk_c10
| inverse(sk_c2) = sk_c3 ),
inference(global_subsumption_just,[status(thm)],[c_6604,c_70,c_549,c_1402,c_1407,c_1427,c_1679,c_5722]) ).
cnf(c_13463,plain,
( inverse(sk_c2) = sk_c3
| sk_c11 = sk_c10 ),
inference(renaming,[status(thm)],[c_13462]) ).
cnf(c_13705,plain,
( sk_c10 != X0
| identity != X0
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_1400]) ).
cnf(c_13709,plain,
( sk_c10 != identity
| identity != identity
| identity = sk_c10 ),
inference(instantiation,[status(thm)],[c_3860]) ).
cnf(c_13712,plain,
( sk_c10 != sk_c11
| identity != sk_c11
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_13705]) ).
cnf(c_15370,plain,
( X0 != sk_c10
| identity != sk_c10
| X0 = identity ),
inference(instantiation,[status(thm)],[c_1667]) ).
cnf(c_15371,plain,
( sk_c11 != sk_c10
| identity != sk_c10
| sk_c11 = identity ),
inference(instantiation,[status(thm)],[c_15370]) ).
cnf(c_15424,plain,
inverse(sk_c6) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_10000,c_1665,c_1887,c_2687,c_5788,c_6242,c_13709,c_15371]) ).
cnf(c_15475,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm)],[c_15424,c_1770]) ).
cnf(c_15500,plain,
( multiply(sk_c2,sk_c3) = sk_c10
| sk_c11 = identity ),
inference(demodulation,[status(thm)],[c_61,c_15475]) ).
cnf(c_15501,plain,
( multiply(sk_c1,sk_c10) = sk_c11
| sk_c11 = identity ),
inference(demodulation,[status(thm)],[c_55,c_15475]) ).
cnf(c_15502,plain,
( inverse(sk_c4) = sk_c11
| sk_c11 = identity ),
inference(demodulation,[status(thm)],[c_91,c_15475]) ).
cnf(c_15503,plain,
( inverse(sk_c2) = sk_c3
| sk_c11 = identity ),
inference(demodulation,[status(thm)],[c_67,c_15475]) ).
cnf(c_15504,plain,
( inverse(sk_c1) = sk_c11
| sk_c11 = identity ),
inference(demodulation,[status(thm)],[c_49,c_15475]) ).
cnf(c_16030,plain,
( inverse(sk_c1) != sk_c11
| ~ sP3_iProver_split
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_15501,c_541]) ).
cnf(c_16043,plain,
( ~ sP3_iProver_split
| sk_c11 = identity ),
inference(global_subsumption_just,[status(thm)],[c_16030,c_15504,c_16030]) ).
cnf(c_16049,plain,
( sk_c11 != sk_c10
| ~ sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_6247,c_16043]) ).
cnf(c_16065,plain,
inverse(sk_c8) = sk_c11,
inference(global_subsumption_just,[status(thm)],[c_10003,c_1665,c_1887,c_2612,c_5690,c_6225,c_13709,c_15371]) ).
cnf(c_16076,plain,
( multiply(sk_c11,sk_c9) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
inference(demodulation,[status(thm)],[c_1488,c_16065]) ).
cnf(c_16077,plain,
( multiply(sk_c11,sk_c9) = sk_c11
| multiply(sk_c11,sk_c5) = sk_c10 ),
inference(demodulation,[status(thm)],[c_1487,c_16065]) ).
cnf(c_16117,plain,
multiply(sk_c8,sk_c11) = identity,
inference(superposition,[status(thm)],[c_16065,c_1770]) ).
cnf(c_16118,plain,
inverse(sk_c11) = sk_c8,
inference(superposition,[status(thm)],[c_16065,c_1774]) ).
cnf(c_16133,plain,
( multiply(sk_c4,sk_c11) = sk_c5
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_89,c_16117]) ).
cnf(c_16134,plain,
( multiply(sk_c11,sk_c5) = sk_c10
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_83,c_16117]) ).
cnf(c_16135,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_77,c_16117]) ).
cnf(c_16138,plain,
( inverse(sk_c4) = sk_c11
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_95,c_16117]) ).
cnf(c_16139,plain,
( inverse(sk_c2) = sk_c3
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_71,c_16117]) ).
cnf(c_16202,plain,
inverse(sk_c4) = sk_c11,
inference(global_subsumption_just,[status(thm)],[c_16138,c_94,c_542,c_1102,c_1403,c_1402,c_1665,c_1867,c_1887,c_2612,c_3861,c_5690,c_6225,c_13422,c_13712,c_13709,c_15371,c_15502,c_16049]) ).
cnf(c_16208,plain,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c11,sk_c5) = sk_c11 ),
inference(demodulation,[status(thm)],[c_1512,c_16202]) ).
cnf(c_16219,plain,
multiply(sk_c4,sk_c11) = identity,
inference(superposition,[status(thm)],[c_16202,c_1770]) ).
cnf(c_16225,plain,
( multiply(sk_c11,sk_c9) = sk_c10
| sk_c5 = identity ),
inference(demodulation,[status(thm)],[c_88,c_16219]) ).
cnf(c_16245,plain,
inverse(sk_c2) = sk_c3,
inference(global_subsumption_just,[status(thm)],[c_16139,c_70,c_542,c_1103,c_1403,c_1402,c_1665,c_1867,c_1887,c_2612,c_3861,c_5690,c_6225,c_13463,c_13712,c_13709,c_15371,c_15503,c_16049]) ).
cnf(c_16260,plain,
multiply(sk_c2,sk_c3) = identity,
inference(superposition,[status(thm)],[c_16245,c_1770]) ).
cnf(c_16264,plain,
( sk_c11 = identity
| sk_c10 = identity ),
inference(demodulation,[status(thm)],[c_15500,c_16260]) ).
cnf(c_16314,plain,
( sk_c9 = identity
| sk_c5 = identity ),
inference(light_normalisation,[status(thm)],[c_16133,c_16219]) ).
cnf(c_16349,plain,
multiply(sk_c11,sk_c5) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_16134,c_82,c_549,c_542,c_1100,c_1403,c_1402,c_1407,c_1427,c_1665,c_1679,c_1867,c_1887,c_2612,c_3861,c_5690,c_6225,c_13712,c_13709,c_15371,c_16049,c_16077,c_16264]) ).
cnf(c_16354,plain,
multiply(inverse(sk_c11),sk_c10) = sk_c5,
inference(superposition,[status(thm)],[c_16349,c_1468]) ).
cnf(c_16355,plain,
multiply(sk_c11,multiply(sk_c5,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_16349,c_100]) ).
cnf(c_16356,plain,
multiply(sk_c8,sk_c10) = sk_c5,
inference(light_normalisation,[status(thm)],[c_16354,c_16118]) ).
cnf(c_16360,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_16135,c_76,c_549,c_542,c_1101,c_1403,c_1402,c_1407,c_1427,c_1665,c_1679,c_1867,c_1887,c_3861,c_13712,c_13709,c_15371,c_16049,c_16065,c_16076,c_16264]) ).
cnf(c_16365,plain,
multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_16360,c_100]) ).
cnf(c_16390,plain,
multiply(sk_c11,sk_c9) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_16225,c_82,c_549,c_542,c_1110,c_1100,c_1403,c_1402,c_1407,c_1427,c_1434,c_1635,c_1665,c_1679,c_1722,c_1867,c_1887,c_2612,c_3861,c_5690,c_6225,c_13712,c_13709,c_15371,c_16049,c_16077,c_16202,c_16208,c_16264]) ).
cnf(c_16393,plain,
multiply(inverse(sk_c11),sk_c10) = sk_c9,
inference(superposition,[status(thm)],[c_16390,c_1468]) ).
cnf(c_16395,plain,
sk_c9 = sk_c5,
inference(light_normalisation,[status(thm)],[c_16393,c_16118,c_16356]) ).
cnf(c_16400,plain,
sk_c9 = identity,
inference(demodulation,[status(thm)],[c_16314,c_16395]) ).
cnf(c_16401,plain,
multiply(sk_c11,identity) = sk_c10,
inference(demodulation,[status(thm)],[c_16390,c_16400]) ).
cnf(c_16416,plain,
multiply(sk_c11,X0) = multiply(sk_c10,X0),
inference(light_normalisation,[status(thm)],[c_16355,c_98,c_16395,c_16400]) ).
cnf(c_16436,plain,
multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c11,X0),
inference(light_normalisation,[status(thm)],[c_16365,c_16416]) ).
cnf(c_16439,plain,
multiply(sk_c3,X0) = X0,
inference(superposition,[status(thm)],[c_1772,c_16436]) ).
cnf(c_16443,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm)],[c_16360,c_16439]) ).
cnf(c_16484,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16443,c_16401,c_16264,c_16049,c_15371,c_13709,c_13712,c_3861,c_1887,c_1867,c_1795,c_1665,c_1402,c_1403,c_1116,c_542]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP217-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 23:02:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.03/1.72 % SZS status Started for theBenchmark.p
% 6.03/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 6.03/1.72
% 6.03/1.72 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 6.03/1.72
% 6.03/1.72 ------ iProver source info
% 6.03/1.72
% 6.03/1.72 git: date: 2023-05-31 18:12:56 +0000
% 6.03/1.72 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 6.03/1.72 git: non_committed_changes: false
% 6.03/1.72 git: last_make_outside_of_git: false
% 6.03/1.72
% 6.03/1.72 ------ Parsing...successful
% 6.03/1.72
% 6.03/1.72
% 6.03/1.72
% 6.03/1.72 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 6.03/1.72
% 6.03/1.72 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 6.03/1.72
% 6.03/1.72 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 6.03/1.72 ------ Proving...
% 6.03/1.72 ------ Problem Properties
% 6.03/1.72
% 6.03/1.72
% 6.03/1.72 clauses 56
% 6.03/1.72 conjectures 53
% 6.03/1.72 EPR 1
% 6.03/1.72 Horn 7
% 6.03/1.72 unary 3
% 6.03/1.72 binary 48
% 6.03/1.72 lits 115
% 6.03/1.72 lits eq 107
% 6.03/1.72 fd_pure 0
% 6.03/1.72 fd_pseudo 0
% 6.03/1.72 fd_cond 0
% 6.03/1.72 fd_pseudo_cond 0
% 6.03/1.72 AC symbols 0
% 6.03/1.72
% 6.03/1.72 ------ Schedule dynamic 5 is on
% 6.03/1.72
% 6.03/1.72 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.03/1.72
% 6.03/1.72
% 6.03/1.72 ------
% 6.03/1.72 Current options:
% 6.03/1.72 ------
% 6.03/1.72
% 6.03/1.72
% 6.03/1.72
% 6.03/1.72
% 6.03/1.72 ------ Proving...
% 6.03/1.72
% 6.03/1.72
% 6.03/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 6.03/1.72
% 6.03/1.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.03/1.72
% 6.03/1.72
%------------------------------------------------------------------------------