TSTP Solution File: GRP263-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP263-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 00:59:00 EDT 2023
% Result : Unsatisfiable 8.00s 1.64s
% Output : CNFRefutation 8.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 22
% Syntax : Number of clauses : 163 ( 42 unt; 84 nHn; 135 RR)
% Number of literals : 354 ( 323 equ; 128 neg)
% Maximal clause size : 15 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 100 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_93,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
cnf(c_94,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
cnf(c_97,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
cnf(c_99,negated_conjecture,
( multiply(X0,X1) != sk_c11
| multiply(X2,X1) != X3
| multiply(X1,sk_c10) != sk_c11
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c10) != sk_c9
| multiply(X6,sk_c11) != sk_c10
| multiply(X7,sk_c10) != sk_c9
| multiply(sk_c9,sk_c10) != sk_c11
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X3) != X1
| inverse(X4) != sk_c11
| inverse(X5) != sk_c10
| inverse(X6) != sk_c11
| inverse(X7) != sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
cnf(c_100,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_101,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_102,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_103,negated_conjecture,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X1,inverse(X1)) != sk_c11
| multiply(inverse(X1),sk_c10) != sk_c11
| multiply(X2,sk_c11) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c10) != sk_c9
| multiply(sk_c9,sk_c10) != sk_c11
| inverse(X0) != multiply(X0,inverse(X1))
| inverse(X2) != sk_c11
| inverse(X3) != sk_c10
| inverse(X4) != sk_c11
| inverse(X5) != sk_c10 ),
inference(unflattening,[status(thm)],[c_99]) ).
cnf(c_568,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_103]) ).
cnf(c_569,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_103]) ).
cnf(c_570,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| inverse(X1) != multiply(X1,inverse(X0))
| inverse(multiply(X1,inverse(X0))) != inverse(X0)
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_103]) ).
cnf(c_571,negated_conjecture,
( multiply(sk_c9,sk_c10) != sk_c11
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_103]) ).
cnf(c_572,plain,
X0 = X0,
theory(equality) ).
cnf(c_573,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_1182,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_101,c_102]) ).
cnf(c_1325,plain,
( X0 != X1
| sk_c11 != X1
| sk_c11 = X0 ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_1326,plain,
( X0 != sk_c11
| sk_c11 != sk_c11
| sk_c11 = X0 ),
inference(instantiation,[status(thm)],[c_1325]) ).
cnf(c_1327,plain,
sk_c11 = sk_c11,
inference(instantiation,[status(thm)],[c_572]) ).
cnf(c_1333,plain,
( multiply(sk_c5,sk_c8) != sk_c11
| sk_c11 != sk_c11
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_1326]) ).
cnf(c_1338,plain,
( X0 != X1
| sk_c11 != X1
| X0 = sk_c11 ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_1423,plain,
( inverse(identity) != sk_c11
| sk_c11 != sk_c10
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_100,c_568]) ).
cnf(c_1484,plain,
( X0 != multiply(sk_c5,sk_c8)
| sk_c11 != multiply(sk_c5,sk_c8)
| X0 = sk_c11 ),
inference(instantiation,[status(thm)],[c_1338]) ).
cnf(c_1515,plain,
( inverse(identity) != sk_c10
| sk_c10 != sk_c9
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_100,c_569]) ).
cnf(c_1516,plain,
( inverse(inverse(sk_c10)) != sk_c10
| sk_c9 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_101,c_569]) ).
cnf(c_1636,plain,
( inverse(multiply(X0,multiply(X1,inverse(X2)))) != inverse(X2)
| multiply(multiply(X0,X1),inverse(X2)) != inverse(multiply(X0,X1))
| multiply(X2,inverse(X2)) != sk_c11
| multiply(inverse(X2),sk_c10) != sk_c11
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_102,c_570]) ).
cnf(c_1846,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1182,c_100]) ).
cnf(c_1897,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_100,c_1846]) ).
cnf(c_1898,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_101,c_1846]) ).
cnf(c_1899,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_102,c_1846]) ).
cnf(c_1911,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1846,c_1846]) ).
cnf(c_2225,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1898,c_1911]) ).
cnf(c_2232,plain,
multiply(X0,multiply(X1,identity)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2225,c_102]) ).
cnf(c_2234,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_2225,c_1897]) ).
cnf(c_2626,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_572]) ).
cnf(c_2646,plain,
multiply(inverse(inverse(X0)),multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[c_1911,c_102]) ).
cnf(c_2647,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1911,c_101]) ).
cnf(c_2651,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1911,c_2225]) ).
cnf(c_2652,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2651,c_2225]) ).
cnf(c_2692,plain,
inverse(inverse(sk_c10)) = sk_c10,
inference(instantiation,[status(thm)],[c_2652]) ).
cnf(c_2934,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_101,c_102]) ).
cnf(c_3031,plain,
( multiply(sk_c3,sk_c11) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_80,c_2647]) ).
cnf(c_3032,plain,
( multiply(sk_c3,sk_c11) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_60,c_2647]) ).
cnf(c_3033,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_82,c_2647]) ).
cnf(c_3035,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_84,c_2647]) ).
cnf(c_3837,plain,
( inverse(sk_c2) = sk_c10
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3031,c_79]) ).
cnf(c_3857,plain,
( multiply(sk_c2,sk_c10) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3837,c_2647]) ).
cnf(c_3858,plain,
( inverse(sk_c10) = sk_c2
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3837,c_2652]) ).
cnf(c_3897,plain,
( inverse(sk_c1) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3032,c_59]) ).
cnf(c_3921,plain,
( multiply(sk_c1,sk_c11) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3897,c_2647]) ).
cnf(c_3922,plain,
( inverse(sk_c11) = sk_c1
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3897,c_2652]) ).
cnf(c_3975,plain,
( inverse(sk_c2) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3033,c_81]) ).
cnf(c_3994,plain,
( multiply(sk_c2,sk_c10) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3975,c_2647]) ).
cnf(c_3995,plain,
( inverse(sk_c10) = sk_c2
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3975,c_2652]) ).
cnf(c_4130,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_4260,plain,
( inverse(sk_c2) = sk_c10
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3035,c_83]) ).
cnf(c_4277,plain,
( multiply(sk_c10,sk_c2) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4260,c_101]) ).
cnf(c_6352,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2934,c_100]) ).
cnf(c_6403,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_100,c_6352]) ).
cnf(c_6404,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_101,c_6352]) ).
cnf(c_6417,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_6352,c_6352]) ).
cnf(c_6902,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_4130]) ).
cnf(c_7648,plain,
( sk_c11 != sk_c10
| sk_c11 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1423,c_2234]) ).
cnf(c_8004,plain,
( inverse(sk_c4) = sk_c10
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3921,c_52]) ).
cnf(c_8005,plain,
( inverse(sk_c3) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3921,c_50]) ).
cnf(c_8103,plain,
( inverse(sk_c10) = sk_c4
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_8004,c_2652]) ).
cnf(c_8133,plain,
( inverse(sk_c11) = sk_c3
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_8005,c_2652]) ).
cnf(c_8181,plain,
( sk_c10 != sk_c9
| sk_c10 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1515,c_2234]) ).
cnf(c_8317,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_6404,c_6417]) ).
cnf(c_8326,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_8317,c_6403]) ).
cnf(c_8576,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_6417,c_101]) ).
cnf(c_8580,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_6417,c_8317]) ).
cnf(c_8581,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_8580,c_8317]) ).
cnf(c_9139,plain,
( sk_c10 = identity
| sk_c4 = sk_c2 ),
inference(superposition,[status(thm)],[c_8103,c_3858]) ).
cnf(c_9160,plain,
( multiply(sk_c2,sk_c10) = sk_c9
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_9139,c_71]) ).
cnf(c_9205,plain,
( sk_c1 = sk_c3
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_8133,c_3922]) ).
cnf(c_9219,plain,
( sk_c10 = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_9160,c_3857]) ).
cnf(c_9224,plain,
( inverse(sk_c2) != sk_c10
| ~ sP1_iProver_split
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_9160,c_569]) ).
cnf(c_9237,plain,
( inverse(sk_c10) = sk_c4
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_82,c_8581]) ).
cnf(c_9278,plain,
( ~ sP1_iProver_split
| sk_c10 = identity ),
inference(global_subsumption_just,[status(thm)],[c_9224,c_1516,c_2692,c_9219]) ).
cnf(c_9284,plain,
( sk_c10 != sk_c9
| ~ sP1_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_8181,c_9278]) ).
cnf(c_9902,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_9205,c_49]) ).
cnf(c_9983,plain,
( inverse(sk_c4) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3994,c_72]) ).
cnf(c_10159,plain,
( multiply(sk_c10,sk_c4) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_9983,c_101]) ).
cnf(c_10263,plain,
sk_c10 = identity,
inference(superposition,[status(thm)],[c_9902,c_3921]) ).
cnf(c_10271,plain,
( sk_c9 != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_9284,c_10263]) ).
cnf(c_10300,plain,
( sk_c11 != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_7648,c_10263]) ).
cnf(c_10337,plain,
( multiply(identity,sk_c2) = identity
| sk_c11 = identity ),
inference(demodulation,[status(thm)],[c_4277,c_10263]) ).
cnf(c_10344,plain,
( inverse(identity) = sk_c2
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_3995,c_10263]) ).
cnf(c_10385,plain,
( multiply(sk_c9,identity) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
inference(demodulation,[status(thm)],[c_93,c_10263]) ).
cnf(c_10391,plain,
( multiply(sk_c4,identity) = sk_c9
| multiply(sk_c2,identity) = sk_c9 ),
inference(demodulation,[status(thm)],[c_71,c_10263]) ).
cnf(c_10399,plain,
( multiply(sk_c9,identity) = sk_c11
| inverse(sk_c5) = sk_c8 ),
inference(demodulation,[status(thm)],[c_94,c_10263]) ).
cnf(c_10421,plain,
( multiply(sk_c9,identity) != sk_c11
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_571,c_10263]) ).
cnf(c_10600,plain,
( sk_c9 = identity
| sk_c2 = identity ),
inference(light_normalisation,[status(thm)],[c_10344,c_2234]) ).
cnf(c_10809,plain,
( sk_c11 != sk_c9
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_10421,c_2225]) ).
cnf(c_10878,plain,
( multiply(identity,sk_c4) = identity
| sk_c9 = identity ),
inference(light_normalisation,[status(thm)],[c_10159,c_10263]) ).
cnf(c_10879,plain,
( sk_c4 = identity
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_10878,c_100]) ).
cnf(c_11171,plain,
( inverse(sk_c5) = sk_c8
| sk_c11 = sk_c9 ),
inference(demodulation,[status(thm)],[c_10399,c_2225]) ).
cnf(c_11179,plain,
( inverse(sk_c8) = sk_c5
| sk_c11 = sk_c9 ),
inference(superposition,[status(thm)],[c_11171,c_2652]) ).
cnf(c_11269,plain,
( multiply(sk_c3,sk_c11) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_80,c_8576]) ).
cnf(c_12263,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| sk_c11 = sk_c9 ),
inference(demodulation,[status(thm)],[c_10385,c_2225]) ).
cnf(c_12524,plain,
( sk_c4 = sk_c9
| sk_c9 = sk_c2 ),
inference(demodulation,[status(thm)],[c_10391,c_2225]) ).
cnf(c_12540,plain,
( sk_c9 = sk_c2
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_12524,c_10879]) ).
cnf(c_12714,plain,
sk_c9 = identity,
inference(superposition,[status(thm)],[c_12540,c_10600]) ).
cnf(c_12717,plain,
~ sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_10271,c_12714]) ).
cnf(c_12726,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| sk_c11 = identity ),
inference(demodulation,[status(thm)],[c_12263,c_12714]) ).
cnf(c_12754,plain,
( sk_c11 != identity
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_10809,c_12714]) ).
cnf(c_12755,plain,
( sk_c11 != identity
| sP0_iProver_split
| sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_12754,c_12717]) ).
cnf(c_12815,plain,
( sk_c11 != identity
| sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_12755,c_10300,c_12755]) ).
cnf(c_13017,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_2647,c_1899]) ).
cnf(c_13056,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_13017,c_2225]) ).
cnf(c_13603,plain,
( inverse(sk_c2) = sk_c10
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_11269,c_79]) ).
cnf(c_13662,plain,
sk_c10 = identity,
inference(global_subsumption_just,[status(thm)],[c_13603,c_10263]) ).
cnf(c_13672,plain,
( inverse(sk_c2) = identity
| inverse(identity) = sk_c4 ),
inference(demodulation,[status(thm)],[c_9237,c_13662]) ).
cnf(c_13698,plain,
( multiply(sk_c9,identity) = sk_c11
| inverse(sk_c6) = sk_c8 ),
inference(demodulation,[status(thm)],[c_97,c_13662]) ).
cnf(c_13700,plain,
( multiply(sk_c9,identity) = sk_c11
| inverse(sk_c5) = sk_c8 ),
inference(demodulation,[status(thm)],[c_94,c_13662]) ).
cnf(c_13706,plain,
( multiply(sk_c4,identity) = sk_c9
| inverse(sk_c2) = identity ),
inference(demodulation,[status(thm)],[c_81,c_13662]) ).
cnf(c_13757,plain,
( inverse(sk_c2) = identity
| sk_c4 = identity ),
inference(light_normalisation,[status(thm)],[c_13672,c_8326]) ).
cnf(c_14545,plain,
( inverse(identity) = sk_c2
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_13757,c_8581]) ).
cnf(c_14548,plain,
( sk_c4 = identity
| sk_c2 = identity ),
inference(light_normalisation,[status(thm)],[c_14545,c_8326]) ).
cnf(c_15552,plain,
( inverse(sk_c8) = sk_c5
| sk_c11 = identity ),
inference(light_normalisation,[status(thm)],[c_11179,c_12714]) ).
cnf(c_15565,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_15552,c_101]) ).
cnf(c_16718,plain,
( inverse(sk_c6) = sk_c8
| sk_c11 = sk_c9 ),
inference(demodulation,[status(thm)],[c_13698,c_8317]) ).
cnf(c_16729,plain,
( inverse(sk_c8) = sk_c6
| sk_c11 = sk_c9 ),
inference(superposition,[status(thm)],[c_16718,c_8581]) ).
cnf(c_17453,plain,
( inverse(sk_c5) = sk_c8
| sk_c11 = sk_c9 ),
inference(demodulation,[status(thm)],[c_13700,c_8317]) ).
cnf(c_17460,plain,
( inverse(sk_c8) = sk_c5
| sk_c11 = sk_c9 ),
inference(superposition,[status(thm)],[c_17453,c_8581]) ).
cnf(c_19166,plain,
( inverse(sk_c2) = identity
| sk_c4 = sk_c9 ),
inference(demodulation,[status(thm)],[c_13706,c_8317]) ).
cnf(c_19173,plain,
( inverse(identity) = sk_c2
| sk_c4 = sk_c9 ),
inference(superposition,[status(thm)],[c_19166,c_8581]) ).
cnf(c_19176,plain,
( sk_c4 = sk_c9
| sk_c2 = identity ),
inference(light_normalisation,[status(thm)],[c_19173,c_8326]) ).
cnf(c_21060,plain,
( sk_c9 = identity
| sk_c2 = identity ),
inference(superposition,[status(thm)],[c_19176,c_14548]) ).
cnf(c_21073,plain,
sk_c9 = identity,
inference(global_subsumption_just,[status(thm)],[c_21060,c_12714]) ).
cnf(c_22818,plain,
( inverse(sk_c8) = sk_c6
| sk_c11 = identity ),
inference(light_normalisation,[status(thm)],[c_16729,c_21073]) ).
cnf(c_23111,plain,
( inverse(sk_c8) = sk_c5
| sk_c11 = identity ),
inference(light_normalisation,[status(thm)],[c_17460,c_21073]) ).
cnf(c_23123,plain,
( sk_c11 = identity
| sk_c5 = sk_c6 ),
inference(superposition,[status(thm)],[c_23111,c_22818]) ).
cnf(c_23141,plain,
( sk_c11 != sk_c11
| identity != sk_c11
| sk_c11 = identity ),
inference(instantiation,[status(thm)],[c_1326]) ).
cnf(c_23147,plain,
( multiply(sk_c5,sk_c8) != identity
| identity != identity
| identity = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_6902]) ).
cnf(c_23149,plain,
( sk_c11 != multiply(sk_c5,sk_c8)
| identity != multiply(sk_c5,sk_c8)
| identity = sk_c11 ),
inference(instantiation,[status(thm)],[c_1484]) ).
cnf(c_24088,plain,
sk_c11 = identity,
inference(global_subsumption_just,[status(thm)],[c_23123,c_1327,c_1333,c_2626,c_12726,c_15565,c_23141,c_23147,c_23149]) ).
cnf(c_26854,plain,
sk_c11 = identity,
inference(global_subsumption_just,[status(thm)],[c_10337,c_1327,c_1333,c_2626,c_12726,c_15565,c_23141,c_23147,c_23149]) ).
cnf(c_27107,plain,
( multiply(inverse(X2),sk_c10) != sk_c11
| multiply(X2,inverse(X2)) != sk_c11
| multiply(multiply(X0,X1),inverse(X2)) != inverse(multiply(X0,X1))
| inverse(multiply(X0,multiply(X1,inverse(X2)))) != inverse(X2) ),
inference(global_subsumption_just,[status(thm)],[c_1636,c_1636,c_12815,c_24088]) ).
cnf(c_27108,plain,
( inverse(multiply(X0,multiply(X1,inverse(X2)))) != inverse(X2)
| multiply(multiply(X0,X1),inverse(X2)) != inverse(multiply(X0,X1))
| multiply(X2,inverse(X2)) != sk_c11
| multiply(inverse(X2),sk_c10) != sk_c11 ),
inference(renaming,[status(thm)],[c_27107]) ).
cnf(c_27110,plain,
( inverse(multiply(X0,multiply(X1,inverse(X2)))) != inverse(X2)
| multiply(multiply(X0,X1),inverse(X2)) != inverse(multiply(X0,X1))
| multiply(X2,inverse(X2)) != identity
| multiply(inverse(X2),identity) != identity ),
inference(light_normalisation,[status(thm)],[c_27108,c_10263,c_26854]) ).
cnf(c_27111,plain,
( inverse(multiply(X0,multiply(X1,inverse(X2)))) != inverse(X2)
| multiply(X0,multiply(X1,inverse(X2))) != inverse(multiply(X0,X1))
| inverse(X2) != identity
| identity != identity ),
inference(demodulation,[status(thm)],[c_27110,c_2225,c_2647,c_2646,c_2652]) ).
cnf(c_27112,plain,
( inverse(multiply(X0,multiply(X1,inverse(X2)))) != inverse(X2)
| multiply(X0,multiply(X1,inverse(X2))) != inverse(multiply(X0,X1))
| inverse(X2) != identity ),
inference(equality_resolution_simp,[status(thm)],[c_27111]) ).
cnf(c_27119,plain,
( inverse(multiply(identity,multiply(X0,inverse(X1)))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(multiply(identity,X0))
| inverse(X1) != identity ),
inference(superposition,[status(thm)],[c_100,c_27112]) ).
cnf(c_27179,plain,
( inverse(multiply(identity,multiply(X0,inverse(X1)))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| inverse(X1) != identity ),
inference(light_normalisation,[status(thm)],[c_27119,c_100]) ).
cnf(c_28644,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_1846,c_13056]) ).
cnf(c_32334,plain,
( multiply(X0,inverse(X1)) != inverse(X0)
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(X1) != identity ),
inference(demodulation,[status(thm)],[c_27179,c_2234,c_2232,c_2646,c_2652,c_28644]) ).
cnf(c_32341,plain,
( multiply(X0,inverse(X0)) != inverse(X0)
| inverse(X0) != identity ),
inference(superposition,[status(thm)],[c_2647,c_32334]) ).
cnf(c_32344,plain,
inverse(X0) != identity,
inference(light_normalisation,[status(thm)],[c_32341,c_2647]) ).
cnf(c_32345,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2234,c_32344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP263-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n024.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 01:11:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.00/1.64 % SZS status Started for theBenchmark.p
% 8.00/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 8.00/1.64
% 8.00/1.64 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.00/1.64
% 8.00/1.64 ------ iProver source info
% 8.00/1.64
% 8.00/1.64 git: date: 2023-05-31 18:12:56 +0000
% 8.00/1.64 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.00/1.64 git: non_committed_changes: false
% 8.00/1.64 git: last_make_outside_of_git: false
% 8.00/1.64
% 8.00/1.64 ------ Parsing...successful
% 8.00/1.64
% 8.00/1.64
% 8.00/1.64
% 8.00/1.64 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.00/1.64
% 8.00/1.64 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.00/1.64
% 8.00/1.64 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.00/1.64 ------ Proving...
% 8.00/1.64 ------ Problem Properties
% 8.00/1.64
% 8.00/1.64
% 8.00/1.64 clauses 57
% 8.00/1.64 conjectures 54
% 8.00/1.64 EPR 0
% 8.00/1.64 Horn 6
% 8.00/1.64 unary 3
% 8.00/1.64 binary 50
% 8.00/1.64 lits 118
% 8.00/1.64 lits eq 112
% 8.00/1.64 fd_pure 0
% 8.00/1.64 fd_pseudo 0
% 8.00/1.64 fd_cond 0
% 8.00/1.64 fd_pseudo_cond 0
% 8.00/1.64 AC symbols 0
% 8.00/1.64
% 8.00/1.64 ------ Schedule dynamic 5 is on
% 8.00/1.64
% 8.00/1.64 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.00/1.64
% 8.00/1.64
% 8.00/1.64 ------
% 8.00/1.64 Current options:
% 8.00/1.64 ------
% 8.00/1.64
% 8.00/1.64
% 8.00/1.64
% 8.00/1.64
% 8.00/1.64 ------ Proving...
% 8.00/1.64
% 8.00/1.64
% 8.00/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 8.00/1.64
% 8.00/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.00/1.64
% 8.00/1.65
%------------------------------------------------------------------------------