TSTP Solution File: GRP306-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP306-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 00:59:14 EDT 2023
% Result : Unsatisfiable 7.76s 1.66s
% Output : CNFRefutation 7.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 22
% Syntax : Number of clauses : 142 ( 35 unt; 61 nHn; 123 RR)
% Number of literals : 326 ( 294 equ; 133 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
multiply(sk_c8,sk_c7) = sk_c6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_54,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_70,negated_conjecture,
( multiply(X0,X1) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c8) != X4
| multiply(sk_c8,X4) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(X0) != X1
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(sk_c8) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_72,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_73,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_74,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_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(X0) != sk_c8
| inverse(X2) != sk_c8
| inverse(sk_c8) != sk_c6 ),
inference(unflattening,[status(thm)],[c_70]) ).
cnf(c_79,plain,
( multiply(X2,sk_c8) != sk_c7
| multiply(inverse(X1),sk_c7) != sk_c8
| multiply(X1,inverse(X1)) != sk_c8
| multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| inverse(X2) != sk_c8
| inverse(sk_c8) != sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_74,c_49,c_74]) ).
cnf(c_80,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_c8) != sk_c7
| inverse(X0) != sk_c8
| inverse(X2) != sk_c8
| inverse(sk_c8) != sk_c6 ),
inference(renaming,[status(thm)],[c_79]) ).
cnf(c_280,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c7) != sk_c8
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_80]) ).
cnf(c_281,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_80]) ).
cnf(c_282,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_80]) ).
cnf(c_283,negated_conjecture,
( inverse(sk_c8) != sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_80]) ).
cnf(c_284,plain,
X0 = X0,
theory(equality) ).
cnf(c_285,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_286,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_290,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_284]) ).
cnf(c_291,plain,
( multiply(inverse(sk_c8),sk_c7) != sk_c8
| multiply(sk_c8,inverse(sk_c8)) != sk_c8
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_280]) ).
cnf(c_537,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_72,c_281]) ).
cnf(c_594,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_72,c_73]) ).
cnf(c_662,plain,
( inverse(sk_c8) != X0
| X1 != X0
| inverse(sk_c8) = X1 ),
inference(instantiation,[status(thm)],[c_285]) ).
cnf(c_698,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_594,c_71]) ).
cnf(c_703,plain,
multiply(inverse(sk_c8),sk_c6) = sk_c7,
inference(superposition,[status(thm)],[c_49,c_698]) ).
cnf(c_706,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c8
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_60,c_698]) ).
cnf(c_707,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c8
| inverse(sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_50,c_698]) ).
cnf(c_712,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c8
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_63,c_698]) ).
cnf(c_720,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_71,c_698]) ).
cnf(c_721,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_72,c_698]) ).
cnf(c_728,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_698,c_698]) ).
cnf(c_800,plain,
( inverse(sk_c8) != sk_c6
| X0 != sk_c6
| inverse(sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_662]) ).
cnf(c_802,plain,
( inverse(sk_c8) != sk_c6
| sk_c8 != sk_c6
| inverse(sk_c8) = sk_c8 ),
inference(instantiation,[status(thm)],[c_800]) ).
cnf(c_803,plain,
( multiply(inverse(X0),sk_c7) != X1
| sk_c8 != X1
| multiply(inverse(X0),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_285]) ).
cnf(c_821,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_803]) ).
cnf(c_822,plain,
( inverse(X0) != X1
| sk_c7 != X2
| multiply(inverse(X0),sk_c7) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_823,plain,
( multiply(inverse(sk_c8),sk_c7) != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c8,sk_c8)
| multiply(inverse(sk_c8),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_821]) ).
cnf(c_824,plain,
( inverse(sk_c8) != sk_c8
| sk_c7 != sk_c8
| multiply(inverse(sk_c8),sk_c7) = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_822]) ).
cnf(c_851,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| inverse(identity) != sk_c8
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_71,c_282]) ).
cnf(c_852,plain,
( multiply(sk_c8,identity) != sk_c7
| inverse(inverse(sk_c8)) != sk_c8
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_72,c_282]) ).
cnf(c_934,plain,
( multiply(sk_c7,inverse(sk_c7)) != sk_c8
| sk_c8 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_72,c_280]) ).
cnf(c_1038,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_61,c_706]) ).
cnf(c_1043,plain,
( inverse(sk_c1) = sk_c2
| sk_c8 = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_1038,c_49]) ).
cnf(c_1079,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_51,c_707]) ).
cnf(c_1083,plain,
( inverse(sk_c8) = sk_c6
| sk_c8 = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_1079,c_49]) ).
cnf(c_1343,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_721,c_728]) ).
cnf(c_1353,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1343,c_720]) ).
cnf(c_1423,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_728,c_72]) ).
cnf(c_1427,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_728,c_698]) ).
cnf(c_1428,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_728,c_1343]) ).
cnf(c_1429,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1428,c_1343]) ).
cnf(c_1457,plain,
inverse(inverse(sk_c8)) = sk_c8,
inference(instantiation,[status(thm)],[c_1429]) ).
cnf(c_1474,plain,
( multiply(X0,X1) != X2
| sk_c8 != X2
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_285]) ).
cnf(c_1477,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_284]) ).
cnf(c_1479,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_285]) ).
cnf(c_1503,plain,
( multiply(sk_c8,sk_c5) = sk_c8
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_64,c_712]) ).
cnf(c_1588,plain,
( inverse(sk_c1) = sk_c2
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_1503,c_62]) ).
cnf(c_1801,plain,
( multiply(sk_c3,sk_c8) = identity
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_61,c_1423]) ).
cnf(c_1802,plain,
( multiply(sk_c3,sk_c8) = identity
| inverse(sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_51,c_1423]) ).
cnf(c_1803,plain,
( multiply(sk_c4,sk_c8) = identity
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_64,c_1423]) ).
cnf(c_1805,plain,
( multiply(sk_c1,sk_c2) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_1588,c_1423]) ).
cnf(c_1806,plain,
( multiply(sk_c1,sk_c2) = identity
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_1043,c_1423]) ).
cnf(c_1951,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_1427,c_282]) ).
cnf(c_1974,plain,
( sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_1951,c_1429]) ).
cnf(c_1995,plain,
( multiply(X0,inverse(X0)) != X1
| sk_c8 != X1
| multiply(X0,inverse(X0)) = sk_c8 ),
inference(instantiation,[status(thm)],[c_285]) ).
cnf(c_2115,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1479]) ).
cnf(c_2116,plain,
( sk_c8 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_2115]) ).
cnf(c_2150,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c8 != sk_c6
| sk_c8 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_1474]) ).
cnf(c_2165,plain,
( multiply(X0,X1) != multiply(X2,X3)
| sk_c8 != multiply(X2,X3)
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1474]) ).
cnf(c_2190,plain,
( inverse(sk_c1) = sk_c2
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1801,c_60]) ).
cnf(c_2215,plain,
( multiply(sk_c1,sk_c2) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2190,c_1423]) ).
cnf(c_2249,plain,
( inverse(sk_c8) = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1802,c_50]) ).
cnf(c_2293,plain,
( multiply(sk_c6,sk_c6) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2249,c_703]) ).
cnf(c_2538,plain,
( inverse(sk_c1) = sk_c2
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_1803,c_63]) ).
cnf(c_2563,plain,
( multiply(sk_c1,sk_c2) = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_2538,c_1423]) ).
cnf(c_2910,plain,
( multiply(X0,inverse(X0)) != multiply(X1,X2)
| sk_c8 != multiply(X1,X2)
| multiply(X0,inverse(X0)) = sk_c8 ),
inference(instantiation,[status(thm)],[c_1995]) ).
cnf(c_2911,plain,
( inverse(X0) != X1
| X0 != X2
| multiply(X0,inverse(X0)) = multiply(X2,X1) ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_2912,plain,
( multiply(sk_c8,inverse(sk_c8)) != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c8,sk_c8)
| multiply(sk_c8,inverse(sk_c8)) = sk_c8 ),
inference(instantiation,[status(thm)],[c_2910]) ).
cnf(c_2913,plain,
( inverse(sk_c8) != sk_c8
| sk_c8 != sk_c8
| multiply(sk_c8,inverse(sk_c8)) = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_2911]) ).
cnf(c_4289,plain,
( multiply(X0,X1) != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(sk_c8,sk_c7)
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_2165]) ).
cnf(c_4290,plain,
( multiply(sk_c8,sk_c8) != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_4289]) ).
cnf(c_6629,plain,
( X0 != sk_c8
| X1 != sk_c7
| multiply(X0,X1) = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_6630,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c7
| multiply(sk_c8,sk_c8) = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_6629]) ).
cnf(c_6977,plain,
( multiply(sk_c8,sk_c5) = sk_c7
| sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1805,c_57]) ).
cnf(c_6978,plain,
( inverse(sk_c4) = sk_c8
| sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1805,c_59]) ).
cnf(c_6979,plain,
( inverse(sk_c3) = sk_c8
| sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1805,c_56]) ).
cnf(c_7091,plain,
( sk_c7 != identity
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_537,c_537,c_1457]) ).
cnf(c_8588,plain,
( multiply(sk_c8,sk_c5) = sk_c7
| sk_c8 = sk_c6
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1806,c_57]) ).
cnf(c_8589,plain,
( inverse(sk_c4) = sk_c8
| sk_c8 = sk_c6
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1806,c_59]) ).
cnf(c_8590,plain,
( inverse(sk_c3) = sk_c8
| sk_c8 = sk_c6
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1806,c_56]) ).
cnf(c_8654,plain,
( multiply(sk_c8,sk_c5) = sk_c7
| sk_c8 = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2215,c_57]) ).
cnf(c_8655,plain,
( inverse(sk_c4) = sk_c8
| sk_c8 = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2215,c_59]) ).
cnf(c_8656,plain,
( inverse(sk_c3) = sk_c8
| sk_c8 = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2215,c_56]) ).
cnf(c_8735,plain,
( inverse(sk_c4) = sk_c8
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_8589,c_49,c_54,c_290,c_291,c_283,c_802,c_823,c_824,c_1477,c_1974,c_2116,c_2150,c_2912,c_2913,c_4290,c_6630,c_6978,c_7091,c_8589,c_8655]) ).
cnf(c_8747,plain,
( multiply(sk_c4,sk_c8) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_8735,c_1423]) ).
cnf(c_8807,plain,
( inverse(sk_c3) = sk_c8
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_8590,c_49,c_51,c_290,c_291,c_283,c_537,c_802,c_823,c_824,c_1457,c_1477,c_1974,c_2116,c_2150,c_2912,c_2913,c_4290,c_6630,c_6979,c_8590,c_8656]) ).
cnf(c_8819,plain,
( multiply(sk_c3,sk_c8) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_8807,c_1423]) ).
cnf(c_10908,plain,
( multiply(sk_c8,sk_c5) = sk_c7
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_6977,c_49,c_52,c_290,c_291,c_283,c_537,c_802,c_823,c_824,c_1457,c_1477,c_1974,c_2116,c_2150,c_2912,c_2913,c_4290,c_6630,c_6977,c_8588,c_8654]) ).
cnf(c_12537,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_72,c_73]) ).
cnf(c_12591,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_12537,c_71]) ).
cnf(c_12614,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_72,c_12591]) ).
cnf(c_12622,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_12591,c_12591]) ).
cnf(c_12668,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_12614,c_12622]) ).
cnf(c_12673,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_12668,c_72]) ).
cnf(c_12747,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| inverse(identity) != sk_c8
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_71,c_282]) ).
cnf(c_12750,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| sk_c8 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_12747,c_12673]) ).
cnf(c_16021,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c8 = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_8747,c_58]) ).
cnf(c_16086,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c8 = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_8819,c_55]) ).
cnf(c_16821,plain,
( sk_c8 = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_16021,c_2563]) ).
cnf(c_16840,plain,
( multiply(sk_c8,identity) = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_16821,c_10908]) ).
cnf(c_17192,plain,
( sk_c8 = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_16086,c_2215]) ).
cnf(c_17377,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| ~ sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_851,c_852,c_1457,c_12750,c_16840]) ).
cnf(c_17383,plain,
( sk_c8 != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_934,c_1423]) ).
cnf(c_19660,plain,
( sk_c8 = sk_c7
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_16840,c_1343]) ).
cnf(c_19673,plain,
sk_c8 = identity,
inference(superposition,[status(thm)],[c_19660,c_17192]) ).
cnf(c_19713,plain,
~ sP0_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_17383,c_19673]) ).
cnf(c_19728,plain,
( multiply(identity,identity) != sk_c7
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_17377,c_19673]) ).
cnf(c_19851,plain,
( sk_c7 != identity
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_1974,c_19673]) ).
cnf(c_19868,plain,
( inverse(identity) = sk_c6
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_1083,c_19673]) ).
cnf(c_19900,plain,
( inverse(identity) != sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_283,c_19673]) ).
cnf(c_19901,plain,
multiply(identity,sk_c7) = sk_c6,
inference(demodulation,[status(thm)],[c_49,c_19673]) ).
cnf(c_19922,plain,
( inverse(identity) != sk_c6
| sP1_iProver_split
| sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_19900,c_19713]) ).
cnf(c_19923,plain,
( sk_c6 != identity
| sP1_iProver_split
| sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_19922,c_1353]) ).
cnf(c_19998,plain,
sk_c6 = identity,
inference(light_normalisation,[status(thm)],[c_19868,c_1353]) ).
cnf(c_19999,plain,
( sP1_iProver_split
| sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_19923,c_19998]) ).
cnf(c_20008,plain,
( multiply(identity,identity) = sk_c7
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_2293,c_19998]) ).
cnf(c_20327,plain,
sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_19999,c_19999,c_19851,c_19728,c_20008]) ).
cnf(c_20329,plain,
sk_c7 != identity,
inference(backward_subsumption_resolution,[status(thm)],[c_7091,c_20327]) ).
cnf(c_20335,plain,
multiply(identity,sk_c7) = identity,
inference(light_normalisation,[status(thm)],[c_19901,c_19998]) ).
cnf(c_20336,plain,
sk_c7 = identity,
inference(demodulation,[status(thm)],[c_20335,c_71]) ).
cnf(c_20380,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_20336,c_20329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP306-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 21:42:52 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.76/1.66 % SZS status Started for theBenchmark.p
% 7.76/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 7.76/1.66
% 7.76/1.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.76/1.66
% 7.76/1.66 ------ iProver source info
% 7.76/1.66
% 7.76/1.66 git: date: 2023-05-31 18:12:56 +0000
% 7.76/1.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.76/1.66 git: non_committed_changes: false
% 7.76/1.66 git: last_make_outside_of_git: false
% 7.76/1.66
% 7.76/1.66 ------ Parsing...successful
% 7.76/1.66
% 7.76/1.66
% 7.76/1.66
% 7.76/1.66 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.76/1.66
% 7.76/1.66 ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.76/1.66
% 7.76/1.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.76/1.66 ------ Proving...
% 7.76/1.66 ------ Problem Properties
% 7.76/1.66
% 7.76/1.66
% 7.76/1.66 clauses 28
% 7.76/1.66 conjectures 25
% 7.76/1.66 EPR 0
% 7.76/1.66 Horn 7
% 7.76/1.66 unary 4
% 7.76/1.66 binary 20
% 7.76/1.66 lits 57
% 7.76/1.66 lits eq 51
% 7.76/1.66 fd_pure 0
% 7.76/1.66 fd_pseudo 0
% 7.76/1.66 fd_cond 0
% 7.76/1.66 fd_pseudo_cond 0
% 7.76/1.66 AC symbols 0
% 7.76/1.66
% 7.76/1.66 ------ Schedule dynamic 5 is on
% 7.76/1.66
% 7.76/1.66 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.76/1.66
% 7.76/1.66
% 7.76/1.66 ------
% 7.76/1.66 Current options:
% 7.76/1.66 ------
% 7.76/1.66
% 7.76/1.66
% 7.76/1.66
% 7.76/1.66
% 7.76/1.66 ------ Proving...
% 7.76/1.66
% 7.76/1.66
% 7.76/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 7.76/1.66
% 7.76/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.76/1.66
% 7.76/1.66
%------------------------------------------------------------------------------