TSTP Solution File: GRP382-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP382-1 : 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 00:59:38 EDT 2023
% Result : Unsatisfiable 9.90s 2.17s
% Output : CNFRefutation 9.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 25
% Syntax : Number of clauses : 152 ( 39 unt; 57 nHn; 128 RR)
% Number of literals : 368 ( 311 equ; 179 neg)
% Maximal clause size : 17 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 106 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( inverse(sk_c12) = sk_c11
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( inverse(sk_c12) = sk_c11
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c12
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c12
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c5) = sk_c11
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| multiply(sk_c2,sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c11
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_99,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
cnf(c_100,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
cnf(c_119,negated_conjecture,
( multiply(X0,X1) != sk_c11
| multiply(X2,X3) != sk_c12
| multiply(X4,X3) != X5
| multiply(X1,sk_c12) != sk_c11
| multiply(X3,sk_c11) != sk_c12
| multiply(X6,sk_c11) != sk_c12
| multiply(X7,sk_c12) != sk_c11
| multiply(X8,sk_c11) != sk_c10
| multiply(sk_c11,sk_c10) != sk_c12
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X4) != X5
| inverse(X5) != X3
| inverse(X6) != sk_c12
| inverse(X7) != sk_c12
| inverse(X8) != sk_c11
| inverse(sk_c12) != sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_71) ).
cnf(c_120,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_121,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_122,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_123,negated_conjecture,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X1,inverse(X1)) != sk_c12
| multiply(X2,inverse(X2)) != sk_c11
| multiply(inverse(X1),sk_c11) != sk_c12
| multiply(inverse(X2),sk_c12) != sk_c11
| multiply(X3,sk_c11) != sk_c12
| multiply(X4,sk_c12) != sk_c11
| multiply(X5,sk_c11) != sk_c10
| multiply(sk_c11,sk_c10) != sk_c12
| inverse(X0) != multiply(X0,inverse(X1))
| inverse(X3) != sk_c12
| inverse(X4) != sk_c12
| inverse(X5) != sk_c11
| inverse(sk_c12) != sk_c11 ),
inference(unflattening,[status(thm)],[c_119]) ).
cnf(c_125,plain,
multiply(inverse(sk_c11),sk_c11) = identity,
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_752,negated_conjecture,
( multiply(X0,sk_c12) != sk_c11
| inverse(X0) != sk_c12
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_123]) ).
cnf(c_753,negated_conjecture,
( multiply(X0,sk_c11) != sk_c12
| inverse(X0) != sk_c12
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_123]) ).
cnf(c_754,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_123]) ).
cnf(c_755,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c12) != sk_c11
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_123]) ).
cnf(c_756,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c12
| multiply(inverse(X0),sk_c11) != sk_c12
| inverse(X1) != multiply(X1,inverse(X0))
| inverse(multiply(X1,inverse(X0))) != inverse(X0)
| ~ sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_123]) ).
cnf(c_757,negated_conjecture,
( multiply(sk_c11,sk_c10) != sk_c12
| inverse(sk_c12) != sk_c11
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_123]) ).
cnf(c_758,plain,
X0 = X0,
theory(equality) ).
cnf(c_759,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_761,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_1533,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_121,c_122]) ).
cnf(c_1744,plain,
( multiply(sk_c1,sk_c12) != sk_c11
| inverse(sk_c1) != sk_c12
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_752]) ).
cnf(c_1750,plain,
( X0 != X1
| sk_c12 != X1
| sk_c12 = X0 ),
inference(instantiation,[status(thm)],[c_759]) ).
cnf(c_1778,plain,
( multiply(sk_c1,sk_c12) != X0
| X1 != X0
| multiply(sk_c1,sk_c12) = X1 ),
inference(instantiation,[status(thm)],[c_759]) ).
cnf(c_1809,plain,
( inverse(sk_c4) != sk_c12
| ~ sP0_iProver_split
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(superposition,[status(thm)],[c_79,c_752]) ).
cnf(c_1812,plain,
( inverse(sk_c4) != sk_c12
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c12 ),
inference(superposition,[status(thm)],[c_69,c_752]) ).
cnf(c_1821,plain,
( inverse(inverse(sk_c12)) != sk_c12
| sk_c11 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_121,c_752]) ).
cnf(c_1872,plain,
( X0 != sk_c12
| sk_c12 != sk_c12
| sk_c12 = X0 ),
inference(instantiation,[status(thm)],[c_1750]) ).
cnf(c_1873,plain,
sk_c12 = sk_c12,
inference(instantiation,[status(thm)],[c_758]) ).
cnf(c_1893,plain,
( X0 != X1
| sk_c12 != X1
| X0 = sk_c12 ),
inference(instantiation,[status(thm)],[c_759]) ).
cnf(c_1919,plain,
( inverse(identity) != sk_c12
| sk_c12 != sk_c11
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_120,c_753]) ).
cnf(c_1996,plain,
( multiply(X0,X1) != X2
| sk_c11 != X2
| sk_c11 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_759]) ).
cnf(c_2047,plain,
( inverse(inverse(sk_c11)) != sk_c11
| sk_c10 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_121,c_754]) ).
cnf(c_2162,plain,
( multiply(sk_c12,inverse(sk_c12)) != sk_c11
| sk_c11 != identity
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_121,c_755]) ).
cnf(c_2538,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1533,c_120]) ).
cnf(c_2609,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_120,c_2538]) ).
cnf(c_2610,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_121,c_2538]) ).
cnf(c_2611,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_122,c_2538]) ).
cnf(c_2627,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2538,c_2538]) ).
cnf(c_2787,plain,
( multiply(sk_c1,sk_c11) != sk_c12
| sk_c11 != sk_c12
| sk_c11 = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_1996]) ).
cnf(c_2792,plain,
( multiply(inverse(X0),X0) != identity
| sk_c11 != identity
| sk_c11 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_1996]) ).
cnf(c_2793,plain,
( multiply(inverse(sk_c11),sk_c11) != identity
| sk_c11 != identity
| sk_c11 = multiply(inverse(sk_c11),sk_c11) ),
inference(instantiation,[status(thm)],[c_2792]) ).
cnf(c_2797,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_759]) ).
cnf(c_2829,plain,
sk_c1 = sk_c1,
inference(instantiation,[status(thm)],[c_758]) ).
cnf(c_3007,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_2610,c_2627]) ).
cnf(c_3015,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_3007,c_2609]) ).
cnf(c_3058,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_2627,c_121]) ).
cnf(c_3063,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_2627,c_3007]) ).
cnf(c_3064,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3063,c_3007]) ).
cnf(c_3113,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(inverse(X1),sk_c11) != sk_c12
| sk_c12 != identity
| ~ sP4_iProver_split ),
inference(demodulation,[status(thm)],[c_756,c_3058]) ).
cnf(c_3124,plain,
inverse(inverse(sk_c11)) = sk_c11,
inference(instantiation,[status(thm)],[c_3064]) ).
cnf(c_3247,plain,
( inverse(sk_c12) = sk_c11
| inverse(sk_c11) = sk_c5 ),
inference(superposition,[status(thm)],[c_52,c_3064]) ).
cnf(c_3611,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_121,c_122]) ).
cnf(c_3830,plain,
( multiply(sk_c5,sk_c11) = identity
| inverse(sk_c12) = sk_c11 ),
inference(superposition,[status(thm)],[c_3247,c_121]) ).
cnf(c_3852,plain,
( X0 != sk_c1
| X1 != sk_c11
| multiply(X0,X1) = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_761]) ).
cnf(c_3929,plain,
( multiply(sk_c4,sk_c12) = identity
| inverse(sk_c2) = sk_c3 ),
inference(superposition,[status(thm)],[c_100,c_3058]) ).
cnf(c_3933,plain,
( multiply(sk_c5,sk_c11) = identity
| inverse(sk_c1) = sk_c12 ),
inference(superposition,[status(thm)],[c_72,c_3058]) ).
cnf(c_3936,plain,
( multiply(sk_c6,sk_c9) = identity
| inverse(sk_c1) = sk_c12 ),
inference(superposition,[status(thm)],[c_74,c_3058]) ).
cnf(c_3937,plain,
( multiply(sk_c6,sk_c9) = identity
| inverse(sk_c12) = sk_c11 ),
inference(superposition,[status(thm)],[c_54,c_3058]) ).
cnf(c_4460,plain,
( inverse(sk_c2) = sk_c3
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3929,c_99]) ).
cnf(c_4480,plain,
( multiply(sk_c2,sk_c3) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4460,c_3058]) ).
cnf(c_4571,plain,
( multiply(inverse(X0),X0) != identity
| X1 != identity
| multiply(inverse(X0),X0) = X1 ),
inference(instantiation,[status(thm)],[c_2797]) ).
cnf(c_4882,plain,
( inverse(sk_c1) = sk_c12
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3933,c_71]) ).
cnf(c_4922,plain,
( inverse(sk_c12) = sk_c1
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_4882,c_3064]) ).
cnf(c_5017,plain,
( inverse(sk_c1) = sk_c12
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_3936,c_73]) ).
cnf(c_5031,plain,
( multiply(sk_c1,sk_c12) = identity
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_5017,c_3058]) ).
cnf(c_5064,plain,
( inverse(sk_c12) = sk_c11
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_3937,c_53]) ).
cnf(c_5092,plain,
( inverse(sk_c11) = sk_c12
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_5064,c_3064]) ).
cnf(c_7034,plain,
( inverse(sk_c12) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3830,c_51]) ).
cnf(c_7063,plain,
( sk_c11 = sk_c1
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_7034,c_4922]) ).
cnf(c_7125,plain,
( multiply(sk_c11,identity) != sk_c12
| inverse(sk_c12) != sk_c11
| sk_c11 = sk_c1
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(superposition,[status(thm)],[c_7063,c_757]) ).
cnf(c_7183,plain,
( X0 != sk_c11
| sk_c1 != sk_c1
| multiply(sk_c1,X0) = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_3852]) ).
cnf(c_8883,plain,
( multiply(inverse(X0),X0) != identity
| sk_c12 != identity
| multiply(inverse(X0),X0) = sk_c12 ),
inference(instantiation,[status(thm)],[c_4571]) ).
cnf(c_8889,plain,
( multiply(inverse(X0),X0) != sk_c12
| sk_c12 != sk_c12
| sk_c12 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_1872]) ).
cnf(c_8890,plain,
( multiply(inverse(sk_c11),sk_c11) != identity
| sk_c12 != identity
| multiply(inverse(sk_c11),sk_c11) = sk_c12 ),
inference(instantiation,[status(thm)],[c_8883]) ).
cnf(c_8891,plain,
( multiply(inverse(sk_c11),sk_c11) != sk_c12
| sk_c12 != sk_c12
| sk_c12 = multiply(inverse(sk_c11),sk_c11) ),
inference(instantiation,[status(thm)],[c_8889]) ).
cnf(c_9341,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3611,c_120]) ).
cnf(c_9413,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_121,c_9341]) ).
cnf(c_9430,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_9341,c_9341]) ).
cnf(c_12325,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_9413,c_9430]) ).
cnf(c_12363,plain,
( ~ sP0_iProver_split
| inverse(sk_c1) = sk_c12 ),
inference(global_subsumption_just,[status(thm)],[c_1812,c_70,c_1812]) ).
cnf(c_12564,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_9430,c_12325]) ).
cnf(c_12565,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_12564,c_12325]) ).
cnf(c_12782,plain,
( inverse(sk_c4) = sk_c12
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4480,c_90]) ).
cnf(c_12899,plain,
( multiply(sk_c4,sk_c12) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_12782,c_3058]) ).
cnf(c_13356,plain,
( inverse(sk_c12) = sk_c11
| inverse(sk_c11) = sk_c5 ),
inference(superposition,[status(thm)],[c_52,c_12565]) ).
cnf(c_13586,plain,
( sk_c12 != sk_c11
| sk_c12 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1919,c_3015]) ).
cnf(c_14571,plain,
( multiply(sk_c5,sk_c11) = identity
| inverse(sk_c12) = sk_c11 ),
inference(superposition,[status(thm)],[c_13356,c_121]) ).
cnf(c_16429,plain,
( inverse(sk_c1) != sk_c12
| sk_c11 != identity
| ~ sP0_iProver_split
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_5031,c_752]) ).
cnf(c_17309,plain,
( sk_c12 != sk_c11
| sk_c1 != sk_c1
| multiply(sk_c1,sk_c12) = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_7183]) ).
cnf(c_17314,plain,
( multiply(sk_c1,sk_c12) != multiply(sk_c1,sk_c11)
| X0 != multiply(sk_c1,sk_c11)
| multiply(sk_c1,sk_c12) = X0 ),
inference(instantiation,[status(thm)],[c_1778]) ).
cnf(c_17316,plain,
( multiply(sk_c1,sk_c12) != multiply(sk_c1,sk_c11)
| sk_c11 != multiply(sk_c1,sk_c11)
| multiply(sk_c1,sk_c12) = sk_c11 ),
inference(instantiation,[status(thm)],[c_17314]) ).
cnf(c_17686,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_3058,c_2611]) ).
cnf(c_17858,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_17686,c_3007]) ).
cnf(c_23162,plain,
( X0 != multiply(inverse(X1),X1)
| sk_c12 != multiply(inverse(X1),X1)
| X0 = sk_c12 ),
inference(instantiation,[status(thm)],[c_1893]) ).
cnf(c_23163,plain,
( X0 != multiply(inverse(X1),X1)
| sk_c12 != multiply(inverse(X1),X1)
| sk_c12 = X0 ),
inference(instantiation,[status(thm)],[c_1750]) ).
cnf(c_23166,plain,
( sk_c12 != multiply(inverse(sk_c11),sk_c11)
| sk_c11 != multiply(inverse(sk_c11),sk_c11)
| sk_c12 = sk_c11 ),
inference(instantiation,[status(thm)],[c_23163]) ).
cnf(c_23167,plain,
( sk_c12 != multiply(inverse(sk_c11),sk_c11)
| sk_c11 != multiply(inverse(sk_c11),sk_c11)
| sk_c11 = sk_c12 ),
inference(instantiation,[status(thm)],[c_23162]) ).
cnf(c_26547,plain,
( ~ sP0_iProver_split
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(global_subsumption_just,[status(thm)],[c_1809,c_80,c_1809]) ).
cnf(c_26867,plain,
( sk_c11 != identity
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1821,c_125,c_1744,c_1873,c_2787,c_2793,c_2829,c_8890,c_8891,c_12363,c_16429,c_17309,c_17316,c_23166,c_23167,c_26547]) ).
cnf(c_27061,plain,
( multiply(sk_c2,sk_c3) = sk_c11
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_12899,c_89]) ).
cnf(c_27127,plain,
sk_c11 = identity,
inference(superposition,[status(thm)],[c_27061,c_4480]) ).
cnf(c_27134,plain,
~ sP0_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_26867,c_27127]) ).
cnf(c_27187,plain,
( sk_c12 != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_13586,c_27127]) ).
cnf(c_27256,plain,
( inverse(identity) = sk_c12
| sk_c12 = identity ),
inference(demodulation,[status(thm)],[c_5092,c_27127]) ).
cnf(c_27311,plain,
( multiply(sk_c5,identity) = sk_c10
| multiply(identity,sk_c10) = sk_c12 ),
inference(demodulation,[status(thm)],[c_61,c_27127]) ).
cnf(c_27338,plain,
( multiply(identity,sk_c10) = sk_c12
| inverse(sk_c5) = identity ),
inference(demodulation,[status(thm)],[c_62,c_27127]) ).
cnf(c_27552,plain,
sk_c12 = identity,
inference(light_normalisation,[status(thm)],[c_27256,c_3015]) ).
cnf(c_27916,plain,
~ sP1_iProver_split,
inference(forward_subsumption_resolution,[status(thm)],[c_27187,c_27552]) ).
cnf(c_28194,plain,
( sk_c10 != identity
| ~ sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_2047,c_2047,c_3124]) ).
cnf(c_28821,plain,
( multiply(identity,sk_c10) = identity
| inverse(sk_c5) = identity ),
inference(light_normalisation,[status(thm)],[c_27338,c_27552]) ).
cnf(c_28822,plain,
( inverse(sk_c5) = identity
| sk_c10 = identity ),
inference(demodulation,[status(thm)],[c_28821,c_120]) ).
cnf(c_28831,plain,
( inverse(identity) = sk_c5
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_28822,c_3064]) ).
cnf(c_28834,plain,
( sk_c5 = identity
| sk_c10 = identity ),
inference(light_normalisation,[status(thm)],[c_28831,c_3015]) ).
cnf(c_30131,plain,
( multiply(sk_c5,identity) = sk_c10
| multiply(identity,sk_c10) = identity ),
inference(light_normalisation,[status(thm)],[c_27311,c_27552]) ).
cnf(c_30132,plain,
( sk_c5 = sk_c10
| sk_c10 = identity ),
inference(demodulation,[status(thm)],[c_30131,c_120,c_3007]) ).
cnf(c_30140,plain,
sk_c10 = identity,
inference(superposition,[status(thm)],[c_30132,c_28834]) ).
cnf(c_31563,plain,
( inverse(sk_c12) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_14571,c_51]) ).
cnf(c_31629,plain,
sk_c10 = identity,
inference(global_subsumption_just,[status(thm)],[c_31563,c_30140]) ).
cnf(c_31644,plain,
( multiply(sk_c11,identity) != sk_c12
| inverse(sk_c12) != sk_c11
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(demodulation,[status(thm)],[c_757,c_31629]) ).
cnf(c_31840,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_2538,c_17858]) ).
cnf(c_32878,plain,
( multiply(sk_c12,inverse(sk_c12)) != sk_c11
| ~ sP3_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_2162,c_2162,c_27127]) ).
cnf(c_32880,plain,
( multiply(identity,identity) != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_32878,c_3015,c_27127,c_27552]) ).
cnf(c_32881,plain,
( identity != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_32880,c_120]) ).
cnf(c_32882,plain,
~ sP3_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_32881]) ).
cnf(c_45350,plain,
( multiply(sk_c11,identity) != sk_c12
| inverse(sk_c12) != sk_c11
| sP3_iProver_split
| sP4_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_7125,c_27916,c_27134,c_28194,c_30140,c_31644]) ).
cnf(c_45352,plain,
( multiply(identity,identity) != identity
| identity != identity
| sP3_iProver_split
| sP4_iProver_split ),
inference(light_normalisation,[status(thm)],[c_45350,c_3015,c_27127,c_27552]) ).
cnf(c_45353,plain,
( multiply(identity,identity) != identity
| sP3_iProver_split
| sP4_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_45352]) ).
cnf(c_45354,plain,
( identity != identity
| sP3_iProver_split
| sP4_iProver_split ),
inference(demodulation,[status(thm)],[c_45353,c_120]) ).
cnf(c_45355,plain,
( sP3_iProver_split
| sP4_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_45354]) ).
cnf(c_45356,plain,
sP4_iProver_split,
inference(forward_subsumption_resolution,[status(thm)],[c_45355,c_32882]) ).
cnf(c_45813,plain,
( multiply(inverse(X1),sk_c11) != sk_c12
| multiply(X0,inverse(X1)) != inverse(X0)
| inverse(multiply(X0,inverse(X1))) != inverse(X1)
| ~ sP4_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_3113,c_3113,c_27552]) ).
cnf(c_45814,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(inverse(X1),sk_c11) != sk_c12
| ~ sP4_iProver_split ),
inference(renaming,[status(thm)],[c_45813]) ).
cnf(c_45816,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(inverse(X1),identity) != identity
| ~ sP4_iProver_split ),
inference(light_normalisation,[status(thm)],[c_45814,c_27127,c_27552]) ).
cnf(c_45817,plain,
( multiply(X0,inverse(X1)) != inverse(X0)
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(X1) != identity
| ~ sP4_iProver_split ),
inference(demodulation,[status(thm)],[c_45816,c_3007,c_3064,c_31840]) ).
cnf(c_45818,plain,
( multiply(X0,inverse(X1)) != inverse(X0)
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(X1) != identity ),
inference(forward_subsumption_resolution,[status(thm)],[c_45817,c_45356]) ).
cnf(c_45828,plain,
( multiply(X0,inverse(X0)) != inverse(X0)
| inverse(X0) != identity ),
inference(superposition,[status(thm)],[c_3058,c_45818]) ).
cnf(c_45956,plain,
inverse(X0) != identity,
inference(light_normalisation,[status(thm)],[c_45828,c_3058]) ).
cnf(c_45957,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_3015,c_45956]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP382-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 01:52:32 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
% 9.90/2.17 % SZS status Started for theBenchmark.p
% 9.90/2.17 % SZS status Unsatisfiable for theBenchmark.p
% 9.90/2.17
% 9.90/2.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.90/2.17
% 9.90/2.17 ------ iProver source info
% 9.90/2.17
% 9.90/2.17 git: date: 2023-05-31 18:12:56 +0000
% 9.90/2.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.90/2.17 git: non_committed_changes: false
% 9.90/2.17 git: last_make_outside_of_git: false
% 9.90/2.17
% 9.90/2.17 ------ Parsing...successful
% 9.90/2.17
% 9.90/2.17
% 9.90/2.17
% 9.90/2.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 9.90/2.17
% 9.90/2.17 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.90/2.17
% 9.90/2.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 9.90/2.17 ------ Proving...
% 9.90/2.17 ------ Problem Properties
% 9.90/2.17
% 9.90/2.17
% 9.90/2.17 clauses 79
% 9.90/2.17 conjectures 76
% 9.90/2.17 EPR 0
% 9.90/2.17 Horn 8
% 9.90/2.17 unary 3
% 9.90/2.17 binary 70
% 9.90/2.17 lits 167
% 9.90/2.17 lits eq 157
% 9.90/2.17 fd_pure 0
% 9.90/2.17 fd_pseudo 0
% 9.90/2.17 fd_cond 0
% 9.90/2.17 fd_pseudo_cond 0
% 9.90/2.17 AC symbols 0
% 9.90/2.17
% 9.90/2.17 ------ Schedule dynamic 5 is on
% 9.90/2.17
% 9.90/2.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.90/2.17
% 9.90/2.17
% 9.90/2.17 ------
% 9.90/2.17 Current options:
% 9.90/2.17 ------
% 9.90/2.17
% 9.90/2.17
% 9.90/2.17
% 9.90/2.17
% 9.90/2.17 ------ Proving...
% 9.90/2.17
% 9.90/2.17
% 9.90/2.17 % SZS status Unsatisfiable for theBenchmark.p
% 9.90/2.17
% 9.90/2.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.90/2.17
% 9.90/2.18
%------------------------------------------------------------------------------