TSTP Solution File: GRP230-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP230-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 00:58:48 EDT 2023
% Result : Unsatisfiable 3.80s 1.15s
% Output : CNFRefutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 25
% Syntax : Number of clauses : 155 ( 50 unt; 57 nHn; 124 RR)
% Number of literals : 314 ( 272 equ; 129 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 84 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c3,sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c3) = sk_c4
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(X0,X1) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c8) != X5
| multiply(sk_c8,X5) != sk_c7
| inverse(X0) != X1
| inverse(X2) != sk_c8
| inverse(X3) != sk_c7
| inverse(X4) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_75,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_76,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,inverse(X1)) != sk_c8
| multiply(inverse(X1),sk_c7) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c7 ),
inference(unflattening,[status(thm)],[c_73]) ).
cnf(c_79,plain,
multiply(inverse(sk_c8),sk_c8) = identity,
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_314,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_77]) ).
cnf(c_315,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c7) != sk_c8
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_77]) ).
cnf(c_316,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c7
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_77]) ).
cnf(c_317,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_77]) ).
cnf(c_318,negated_conjecture,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_77]) ).
cnf(c_319,plain,
X0 = X0,
theory(equality) ).
cnf(c_320,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_321,plain,
( X0 != X1
| inverse(X0) = inverse(X1) ),
theory(equality) ).
cnf(c_322,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_323,plain,
( sk_c8 != sk_c8
| inverse(sk_c8) = inverse(sk_c8) ),
inference(instantiation,[status(thm)],[c_321]) ).
cnf(c_325,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_319]) ).
cnf(c_599,plain,
( multiply(sk_c3,multiply(sk_c4,X0)) = multiply(sk_c8,X0)
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_55,c_76]) ).
cnf(c_611,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_58,c_76]) ).
cnf(c_612,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_60,c_76]) ).
cnf(c_619,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_75,c_76]) ).
cnf(c_716,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_619,c_74]) ).
cnf(c_732,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_71,c_716]) ).
cnf(c_733,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_53,c_716]) ).
cnf(c_741,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_74,c_716]) ).
cnf(c_742,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_75,c_716]) ).
cnf(c_748,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_716,c_716]) ).
cnf(c_858,plain,
( inverse(sk_c1) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_60,c_314]) ).
cnf(c_864,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c7
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_74,c_314]) ).
cnf(c_943,plain,
( inverse(identity) != sk_c7
| sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_74,c_316]) ).
cnf(c_944,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c8 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_75,c_316]) ).
cnf(c_946,plain,
( inverse(inverse(identity)) != sk_c7
| sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_741,c_316]) ).
cnf(c_1003,plain,
( multiply(X0,X1) != X2
| sk_c8 != X2
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_320]) ).
cnf(c_1013,plain,
( multiply(sk_c8,sk_c6) != sk_c7
| inverse(sk_c5) != sk_c8
| ~ sP3_iProver_split
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_71,c_317]) ).
cnf(c_1014,plain,
( multiply(sk_c8,sk_c6) != sk_c7
| inverse(sk_c5) != sk_c8
| ~ sP3_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_53,c_317]) ).
cnf(c_1049,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_319]) ).
cnf(c_1051,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_320]) ).
cnf(c_1067,plain,
( multiply(sk_c7,inverse(sk_c7)) != sk_c8
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_75,c_315]) ).
cnf(c_1068,plain,
( multiply(identity,inverse(identity)) != sk_c8
| sk_c8 != sk_c7
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_741,c_315]) ).
cnf(c_1174,plain,
( multiply(inverse(X0),sk_c7) != X1
| sk_c8 != X1
| multiply(inverse(X0),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_320]) ).
cnf(c_1423,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_742,c_748]) ).
cnf(c_1428,plain,
multiply(X0,multiply(identity,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1423,c_76]) ).
cnf(c_1432,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1423,c_741]) ).
cnf(c_1498,plain,
( multiply(inverse(sk_c4),X0) = multiply(sk_c3,X0)
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_50,c_748]) ).
cnf(c_1505,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_748,c_75]) ).
cnf(c_1508,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_748,c_716]) ).
cnf(c_1509,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_748,c_1423]) ).
cnf(c_1510,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1509,c_1423]) ).
cnf(c_1532,plain,
( multiply(inverse(X0),sk_c7) != sk_c8
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_315,c_1505]) ).
cnf(c_1546,plain,
( multiply(inverse(sk_c8),sk_c7) != sk_c8
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_1532]) ).
cnf(c_1608,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1051]) ).
cnf(c_1609,plain,
( sk_c8 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1608]) ).
cnf(c_1633,plain,
( multiply(inverse(X0),X0) != identity
| sk_c8 != identity
| sk_c8 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_1003]) ).
cnf(c_1634,plain,
( multiply(inverse(sk_c8),sk_c8) != identity
| sk_c8 != identity
| sk_c8 = multiply(inverse(sk_c8),sk_c8) ),
inference(instantiation,[status(thm)],[c_1633]) ).
cnf(c_1752,plain,
( multiply(sk_c8,sk_c6) = sk_c8
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_72,c_732]) ).
cnf(c_1782,plain,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = multiply(sk_c3,sk_c8) ),
inference(superposition,[status(thm)],[c_57,c_599]) ).
cnf(c_1817,plain,
( multiply(sk_c3,sk_c4) = identity
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_68,c_1505]) ).
cnf(c_1829,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1505,c_76]) ).
cnf(c_1946,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c8 != sk_c7
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_1508,c_317]) ).
cnf(c_1966,plain,
( sk_c8 != sk_c7
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_1946,c_1510]) ).
cnf(c_2068,plain,
( multiply(inverse(X0),sk_c7) != multiply(X1,X2)
| sk_c8 != multiply(X1,X2)
| multiply(inverse(X0),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_1174]) ).
cnf(c_2069,plain,
( inverse(X0) != X1
| sk_c7 != X2
| multiply(inverse(X0),sk_c7) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_322]) ).
cnf(c_2086,plain,
( inverse(sk_c2) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_1752,c_70]) ).
cnf(c_2185,plain,
( multiply(sk_c2,sk_c7) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_2086,c_1505]) ).
cnf(c_2211,plain,
( inverse(sk_c2) = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1817,c_67]) ).
cnf(c_2225,plain,
( multiply(sk_c2,sk_c7) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2211,c_1505]) ).
cnf(c_2518,plain,
( multiply(sk_c8,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_54,c_733]) ).
cnf(c_2536,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_2518,c_52]) ).
cnf(c_3475,plain,
( multiply(sk_c5,multiply(sk_c8,inverse(sk_c6))) = identity
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_59,c_1829]) ).
cnf(c_3480,plain,
( multiply(sk_c1,multiply(sk_c7,inverse(sk_c8))) = identity
| inverse(sk_c3) = sk_c4 ),
inference(superposition,[status(thm)],[c_56,c_1829]) ).
cnf(c_4217,plain,
( inverse(sk_c2) != sk_c7
| sk_c8 != identity
| ~ sP2_iProver_split
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_2185,c_316]) ).
cnf(c_4263,plain,
( inverse(sk_c3) = sk_c4
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2225,c_62]) ).
cnf(c_4368,plain,
( multiply(sk_c3,sk_c4) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_4263,c_1505]) ).
cnf(c_4470,plain,
( ~ sP0_iProver_split
| inverse(sk_c5) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_858,c_54,c_858]) ).
cnf(c_4787,plain,
( sk_c8 != sk_c7
| sk_c8 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_864,c_1432]) ).
cnf(c_5843,plain,
( multiply(inverse(X0),sk_c7) != multiply(inverse(X1),X1)
| sk_c8 != multiply(inverse(X1),X1)
| multiply(inverse(X0),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_2068]) ).
cnf(c_5844,plain,
( multiply(inverse(sk_c8),sk_c7) != multiply(inverse(sk_c8),sk_c8)
| sk_c8 != multiply(inverse(sk_c8),sk_c8)
| multiply(inverse(sk_c8),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_5843]) ).
cnf(c_6405,plain,
( inverse(X0) != inverse(X1)
| sk_c7 != X2
| multiply(inverse(X0),sk_c7) = multiply(inverse(X1),X2) ),
inference(instantiation,[status(thm)],[c_2069]) ).
cnf(c_6406,plain,
( inverse(sk_c8) != inverse(sk_c8)
| sk_c7 != sk_c8
| multiply(inverse(sk_c8),sk_c7) = multiply(inverse(sk_c8),sk_c8) ),
inference(instantiation,[status(thm)],[c_6405]) ).
cnf(c_6630,plain,
( sk_c8 != sk_c7
| sk_c7 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_943,c_1432]) ).
cnf(c_7855,plain,
( multiply(sk_c2,sk_c7) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_4368,c_61]) ).
cnf(c_8837,plain,
sk_c8 = identity,
inference(superposition,[status(thm)],[c_7855,c_2225]) ).
cnf(c_8843,plain,
( sk_c8 != sk_c7
| ~ sP0_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_4787,c_8837]) ).
cnf(c_8850,plain,
( sk_c7 != identity
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_6630,c_8837]) ).
cnf(c_8861,plain,
( ~ sP0_iProver_split
| inverse(sk_c5) = identity ),
inference(demodulation,[status(thm)],[c_4470,c_8837]) ).
cnf(c_8896,plain,
( inverse(sk_c2) = sk_c7
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_2086,c_8837]) ).
cnf(c_8898,plain,
( sk_c7 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_1966,c_8837]) ).
cnf(c_8940,plain,
( inverse(sk_c5) = identity
| inverse(sk_c2) = sk_c7 ),
inference(demodulation,[status(thm)],[c_72,c_8837]) ).
cnf(c_9173,plain,
inverse(sk_c2) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_8940,c_79,c_72,c_70,c_323,c_325,c_318,c_1013,c_1049,c_1546,c_1609,c_1634,c_2086,c_5844,c_6406,c_8837,c_8850,c_8843,c_8896]) ).
cnf(c_9185,plain,
inverse(sk_c7) = sk_c2,
inference(superposition,[status(thm)],[c_9173,c_1510]) ).
cnf(c_9187,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm)],[c_9173,c_75]) ).
cnf(c_10683,plain,
( inverse(inverse(sk_c7)) != sk_c7
| ~ sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_944,c_944,c_8837]) ).
cnf(c_10685,plain,
( sk_c7 != sk_c7
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_10683,c_9173,c_9185]) ).
cnf(c_10686,plain,
~ sP2_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_10685]) ).
cnf(c_10687,plain,
( sP0_iProver_split
| sP1_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_318,c_10686]) ).
cnf(c_10697,plain,
~ sP2_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_946,c_79,c_72,c_70,c_323,c_325,c_318,c_1013,c_1049,c_1546,c_1609,c_1634,c_1966,c_2086,c_4217,c_5844,c_6406,c_8837,c_8850,c_8843,c_8896,c_10687]) ).
cnf(c_10701,plain,
inverse(sk_c1) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_1498,c_79,c_54,c_52,c_323,c_325,c_318,c_1014,c_1049,c_1546,c_1609,c_1634,c_2536,c_5844,c_6406,c_8837,c_8843,c_10697]) ).
cnf(c_10703,plain,
inverse(sk_c1) = identity,
inference(light_normalisation,[status(thm)],[c_10701,c_8837]) ).
cnf(c_10713,plain,
inverse(identity) = sk_c1,
inference(superposition,[status(thm)],[c_10703,c_1510]) ).
cnf(c_10716,plain,
sk_c1 = identity,
inference(light_normalisation,[status(thm)],[c_10713,c_1432]) ).
cnf(c_10771,plain,
( multiply(identity,multiply(sk_c7,X0)) = X0
| multiply(identity,sk_c6) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_611,c_74,c_8837,c_10716]) ).
cnf(c_10772,plain,
( multiply(sk_c7,X0) = X0
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_10771,c_74]) ).
cnf(c_10786,plain,
( sk_c7 = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_10772,c_1423]) ).
cnf(c_10818,plain,
( multiply(sk_c3,identity) = multiply(identity,sk_c7)
| multiply(identity,sk_c7) = identity ),
inference(light_normalisation,[status(thm)],[c_1782,c_8837,c_10716]) ).
cnf(c_10819,plain,
( sk_c3 = sk_c7
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_10818,c_74,c_1423]) ).
cnf(c_10841,plain,
( multiply(identity,multiply(sk_c7,X0)) = X0
| inverse(sk_c5) = identity ),
inference(light_normalisation,[status(thm)],[c_612,c_74,c_8837,c_10716]) ).
cnf(c_10842,plain,
( multiply(sk_c7,X0) = X0
| inverse(sk_c5) = identity ),
inference(demodulation,[status(thm)],[c_10841,c_74]) ).
cnf(c_10853,plain,
( multiply(sk_c7,multiply(X0,X1)) = multiply(X0,X1)
| inverse(sk_c5) = identity ),
inference(superposition,[status(thm)],[c_10842,c_76]) ).
cnf(c_10856,plain,
( inverse(sk_c5) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_10842,c_1423]) ).
cnf(c_10882,plain,
( multiply(identity,multiply(sk_c7,identity)) = identity
| inverse(sk_c3) = sk_c4 ),
inference(light_normalisation,[status(thm)],[c_3480,c_1432,c_8837,c_10716]) ).
cnf(c_10883,plain,
( inverse(sk_c3) = sk_c4
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_10882,c_74,c_1423]) ).
cnf(c_10888,plain,
( inverse(sk_c7) = sk_c4
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_10819,c_10883]) ).
cnf(c_10896,plain,
( sk_c4 = sk_c2
| sk_c7 = identity ),
inference(light_normalisation,[status(thm)],[c_10888,c_9185]) ).
cnf(c_11097,plain,
( multiply(sk_c7,inverse(sk_c7)) != sk_c8
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1067,c_1067,c_8837]) ).
cnf(c_11099,plain,
( identity != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_11097,c_8837,c_9185,c_9187]) ).
cnf(c_11100,plain,
~ sP1_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_11099]) ).
cnf(c_11101,plain,
( sP0_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_10687,c_11100]) ).
cnf(c_11104,plain,
sk_c8 != sk_c7,
inference(global_subsumption_just,[status(thm)],[c_1068,c_79,c_323,c_325,c_1049,c_1546,c_1609,c_1634,c_1966,c_5844,c_6406,c_8837,c_8843,c_10687]) ).
cnf(c_11106,plain,
sk_c7 != identity,
inference(light_normalisation,[status(thm)],[c_11104,c_8837]) ).
cnf(c_11109,plain,
sk_c4 = sk_c2,
inference(backward_subsumption_resolution,[status(thm)],[c_10896,c_11106]) ).
cnf(c_11113,plain,
sk_c7 = sk_c6,
inference(backward_subsumption_resolution,[status(thm)],[c_10786,c_11106]) ).
cnf(c_11120,plain,
inverse(sk_c7) = sk_c4,
inference(demodulation,[status(thm)],[c_9185,c_11109]) ).
cnf(c_11121,plain,
multiply(sk_c7,sk_c4) = identity,
inference(demodulation,[status(thm)],[c_9187,c_11109]) ).
cnf(c_11122,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm)],[c_9173,c_11109]) ).
cnf(c_11139,plain,
( multiply(sk_c5,multiply(identity,sk_c4)) = identity
| multiply(identity,sk_c7) = identity ),
inference(light_normalisation,[status(thm)],[c_3475,c_8837,c_10716,c_11113,c_11120]) ).
cnf(c_11140,plain,
( multiply(sk_c5,sk_c4) = identity
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_11139,c_74,c_1428]) ).
cnf(c_11141,plain,
multiply(sk_c5,sk_c4) = identity,
inference(forward_subsumption_resolution,[status(thm)],[c_11140,c_11106]) ).
cnf(c_11143,plain,
multiply(sk_c5,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_11141,c_76]) ).
cnf(c_11144,plain,
multiply(sk_c5,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_11143,c_74]) ).
cnf(c_11149,plain,
multiply(inverse(sk_c4),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_1508,c_11144]) ).
cnf(c_11153,plain,
multiply(sk_c7,X0) = multiply(sk_c5,X0),
inference(light_normalisation,[status(thm)],[c_11149,c_11122]) ).
cnf(c_11237,plain,
inverse(sk_c5) = identity,
inference(global_subsumption_just,[status(thm)],[c_10853,c_8898,c_8861,c_10856,c_11101]) ).
cnf(c_11241,plain,
multiply(sk_c5,multiply(identity,X0)) = X0,
inference(superposition,[status(thm)],[c_11237,c_1508]) ).
cnf(c_11248,plain,
multiply(sk_c7,X0) = X0,
inference(light_normalisation,[status(thm)],[c_11241,c_74,c_11153]) ).
cnf(c_11257,plain,
sk_c4 = identity,
inference(demodulation,[status(thm)],[c_11121,c_11248]) ).
cnf(c_11259,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm)],[c_11122,c_11257]) ).
cnf(c_11262,plain,
sk_c7 = identity,
inference(light_normalisation,[status(thm)],[c_11259,c_1432]) ).
cnf(c_11263,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11262,c_11106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP230-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % Command : run_iprover %s %d THM
% 0.15/0.38 % Computer : n027.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Tue Aug 29 01:45:38 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.80/1.15 % SZS status Started for theBenchmark.p
% 3.80/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.80/1.15
% 3.80/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.80/1.15
% 3.80/1.15 ------ iProver source info
% 3.80/1.15
% 3.80/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.80/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.80/1.15 git: non_committed_changes: false
% 3.80/1.15 git: last_make_outside_of_git: false
% 3.80/1.15
% 3.80/1.15 ------ Parsing...successful
% 3.80/1.15
% 3.80/1.15
% 3.80/1.15
% 3.80/1.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.80/1.15
% 3.80/1.15 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.80/1.15
% 3.80/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.80/1.15 ------ Proving...
% 3.80/1.15 ------ Problem Properties
% 3.80/1.15
% 3.80/1.15
% 3.80/1.15 clauses 32
% 3.80/1.15 conjectures 29
% 3.80/1.15 EPR 1
% 3.80/1.15 Horn 7
% 3.80/1.15 unary 3
% 3.80/1.15 binary 24
% 3.80/1.15 lits 67
% 3.80/1.15 lits eq 59
% 3.80/1.15 fd_pure 0
% 3.80/1.15 fd_pseudo 0
% 3.80/1.15 fd_cond 0
% 3.80/1.15 fd_pseudo_cond 0
% 3.80/1.15 AC symbols 0
% 3.80/1.15
% 3.80/1.15 ------ Schedule dynamic 5 is on
% 3.80/1.15
% 3.80/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.80/1.15
% 3.80/1.15
% 3.80/1.15 ------
% 3.80/1.15 Current options:
% 3.80/1.15 ------
% 3.80/1.15
% 3.80/1.15
% 3.80/1.15
% 3.80/1.15
% 3.80/1.15 ------ Proving...
% 3.80/1.15
% 3.80/1.15
% 3.80/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.80/1.15
% 3.80/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.80/1.16
% 4.09/1.16
%------------------------------------------------------------------------------