TSTP Solution File: GRP219-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP219-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 00:58:45 EDT 2023
% Result : Unsatisfiable 3.85s 1.21s
% Output : CNFRefutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 29
% Syntax : Number of clauses : 187 ( 62 unt; 71 nHn; 153 RR)
% Number of literals : 380 ( 336 equ; 142 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 91 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c6,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c7) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c5
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c5
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c7) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(X0,X1) != sk_c8
| multiply(X1,sk_c9) != sk_c8
| multiply(X2,sk_c8) != sk_c9
| multiply(X3,sk_c9) != X4
| multiply(X5,sk_c8) != sk_c9
| multiply(X6,sk_c8) != sk_c9
| multiply(sk_c9,X4) != sk_c8
| inverse(X0) != X1
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| inverse(X5) != sk_c9
| inverse(X6) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_83,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_84,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| multiply(X1,inverse(X1)) != sk_c8
| multiply(inverse(X1),sk_c9) != sk_c8
| multiply(X2,sk_c8) != sk_c9
| multiply(X3,sk_c8) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| inverse(X4) != sk_c8 ),
inference(unflattening,[status(thm)],[c_81]) ).
cnf(c_394,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_85]) ).
cnf(c_395,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c9) != sk_c8
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_85]) ).
cnf(c_396,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_85]) ).
cnf(c_397,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_85]) ).
cnf(c_398,negated_conjecture,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_85]) ).
cnf(c_399,plain,
X0 = X0,
theory(equality) ).
cnf(c_400,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_402,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_405,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_399]) ).
cnf(c_773,plain,
( inverse(sk_c6) != sk_c9
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_50,c_394]) ).
cnf(c_780,plain,
( inverse(sk_c1) != sk_c9
| ~ sP0_iProver_split
| inverse(sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_56,c_394]) ).
cnf(c_781,plain,
( inverse(sk_c1) != sk_c9
| ~ sP0_iProver_split
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_53,c_394]) ).
cnf(c_782,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c8
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_82,c_394]) ).
cnf(c_842,plain,
( inverse(sk_c1) != sk_c8
| ~ sP2_iProver_split
| inverse(sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_56,c_396]) ).
cnf(c_843,plain,
( inverse(sk_c1) != sk_c8
| ~ sP2_iProver_split
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_53,c_396]) ).
cnf(c_896,plain,
( multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
| multiply(sk_c9,sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_71,c_84]) ).
cnf(c_899,plain,
( multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_51,c_84]) ).
cnf(c_919,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_83,c_84]) ).
cnf(c_1045,plain,
( X0 != X1
| sk_c8 != X1
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_400]) ).
cnf(c_1046,plain,
( X0 != sk_c8
| sk_c8 != sk_c8
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_1045]) ).
cnf(c_1047,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_399]) ).
cnf(c_1048,plain,
( sk_c9 != sk_c8
| sk_c8 != sk_c8
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1046]) ).
cnf(c_1053,plain,
( multiply(identity,sk_c8) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_1046]) ).
cnf(c_1054,plain,
multiply(identity,sk_c8) = sk_c8,
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_1063,plain,
( X0 != multiply(identity,sk_c8)
| sk_c8 != multiply(identity,sk_c8)
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_1045]) ).
cnf(c_1098,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_919,c_82]) ).
cnf(c_1108,plain,
( multiply(inverse(sk_c6),sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_50,c_1098]) ).
cnf(c_1129,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c9
| inverse(sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_76,c_1098]) ).
cnf(c_1130,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c9
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_73,c_1098]) ).
cnf(c_1131,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_82,c_1098]) ).
cnf(c_1132,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_83,c_1098]) ).
cnf(c_1140,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1098,c_1098]) ).
cnf(c_1217,plain,
( multiply(X0,X1) != multiply(identity,sk_c8)
| sk_c8 != multiply(identity,sk_c8)
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1063]) ).
cnf(c_1218,plain,
( X0 != identity
| X1 != sk_c8
| multiply(X0,X1) = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_402]) ).
cnf(c_1219,plain,
( multiply(sk_c9,sk_c9) != multiply(identity,sk_c8)
| sk_c8 != multiply(identity,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_1217]) ).
cnf(c_1220,plain,
( sk_c9 != sk_c8
| sk_c9 != identity
| multiply(sk_c9,sk_c9) = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_1218]) ).
cnf(c_1267,plain,
( multiply(inverse(X0),sk_c9) != X1
| X2 != X1
| multiply(inverse(X0),sk_c9) = X2 ),
inference(instantiation,[status(thm)],[c_400]) ).
cnf(c_1269,plain,
( inverse(X0) != X1
| sk_c9 != X2
| multiply(inverse(X0),sk_c9) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_402]) ).
cnf(c_1291,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1132,c_1140]) ).
cnf(c_1299,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1291,c_1131]) ).
cnf(c_1332,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1140,c_83]) ).
cnf(c_1333,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1140,c_1098]) ).
cnf(c_1334,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_1140,c_1291]) ).
cnf(c_1335,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1334,c_1291]) ).
cnf(c_1440,plain,
( inverse(sk_c7) = sk_c8
| inverse(sk_c3) = sk_c2 ),
inference(superposition,[status(thm)],[c_64,c_1335]) ).
cnf(c_1441,plain,
( inverse(sk_c6) = sk_c9
| inverse(sk_c3) = sk_c2 ),
inference(superposition,[status(thm)],[c_61,c_1335]) ).
cnf(c_1477,plain,
( multiply(sk_c9,sk_c5) != sk_c8
| inverse(sk_c4) != sk_c9
| ~ sP3_iProver_split
| inverse(sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_76,c_397]) ).
cnf(c_1478,plain,
( multiply(sk_c9,sk_c5) != sk_c8
| inverse(sk_c4) != sk_c9
| ~ sP3_iProver_split
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_73,c_397]) ).
cnf(c_1479,plain,
( multiply(sk_c9,sk_c9) != sk_c8
| inverse(identity) != sk_c9
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_82,c_397]) ).
cnf(c_1480,plain,
( inverse(inverse(sk_c9)) != sk_c9
| multiply(sk_c9,identity) != sk_c8
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_83,c_397]) ).
cnf(c_1482,plain,
( multiply(sk_c9,sk_c9) != sk_c8
| sk_c9 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1479,c_1299]) ).
cnf(c_1486,plain,
( multiply(sk_c9,identity) != sk_c8
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_1480,c_1335]) ).
cnf(c_1551,plain,
( multiply(inverse(X0),sk_c9) != sk_c8
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_395,c_1332]) ).
cnf(c_1558,plain,
( sk_c8 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_83,c_1551]) ).
cnf(c_1783,plain,
( multiply(sk_c2,sk_c3) = identity
| inverse(sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_1440,c_83]) ).
cnf(c_1795,plain,
( multiply(sk_c2,sk_c3) = identity
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_1441,c_83]) ).
cnf(c_1876,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1332,c_84]) ).
cnf(c_1953,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c9 != sk_c8
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_1333,c_397]) ).
cnf(c_1974,plain,
( sk_c9 != sk_c8
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_1953,c_1335]) ).
cnf(c_2012,plain,
( inverse(sk_c6) != sk_c9
| sk_c9 != X0
| multiply(inverse(sk_c6),sk_c9) = multiply(sk_c9,X0) ),
inference(instantiation,[status(thm)],[c_1269]) ).
cnf(c_2013,plain,
( inverse(sk_c6) != sk_c9
| sk_c9 != sk_c9
| multiply(inverse(sk_c6),sk_c9) = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_2012]) ).
cnf(c_2021,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_400]) ).
cnf(c_2704,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_83,c_84]) ).
cnf(c_2875,plain,
( inverse(sk_c7) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1783,c_60]) ).
cnf(c_2963,plain,
( multiply(inverse(sk_c6),sk_c9) != multiply(sk_c9,X0)
| X1 != multiply(sk_c9,X0)
| multiply(inverse(sk_c6),sk_c9) = X1 ),
inference(instantiation,[status(thm)],[c_1267]) ).
cnf(c_3015,plain,
( inverse(sk_c6) = sk_c9
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1795,c_57]) ).
cnf(c_3590,plain,
( multiply(sk_c1,multiply(sk_c8,inverse(sk_c9))) = identity
| multiply(sk_c6,sk_c8) = sk_c9 ),
inference(superposition,[status(thm)],[c_54,c_1876]) ).
cnf(c_3957,plain,
( inverse(sk_c1) != sk_c9
| X0 != sk_c9
| inverse(sk_c1) = X0 ),
inference(instantiation,[status(thm)],[c_2021]) ).
cnf(c_4011,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2704,c_82]) ).
cnf(c_4019,plain,
( multiply(inverse(sk_c6),sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_78,c_4011]) ).
cnf(c_4045,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_83,c_4011]) ).
cnf(c_4053,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4011,c_4011]) ).
cnf(c_4257,plain,
( inverse(sk_c1) != sk_c9
| sk_c8 != sk_c9
| inverse(sk_c1) = sk_c8 ),
inference(instantiation,[status(thm)],[c_3957]) ).
cnf(c_4299,plain,
( multiply(sk_c9,sk_c5) = sk_c9
| inverse(sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_80,c_1129]) ).
cnf(c_4320,plain,
( inverse(sk_c7) = sk_c8
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_4299,c_72]) ).
cnf(c_4331,plain,
inverse(sk_c7) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_4320,c_80,c_52,c_72,c_398,c_780,c_842,c_1048,c_1047,c_1477,c_1558,c_2875,c_4257,c_4320]) ).
cnf(c_4364,plain,
multiply(sk_c7,multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_4331,c_1333]) ).
cnf(c_4365,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm)],[c_4331,c_1332]) ).
cnf(c_4368,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm)],[c_4331,c_83]) ).
cnf(c_4369,plain,
( multiply(sk_c4,sk_c9) = sk_c5
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_75,c_4365]) ).
cnf(c_4370,plain,
( multiply(sk_c9,sk_c5) = sk_c8
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_71,c_4365]) ).
cnf(c_4373,plain,
( multiply(sk_c1,sk_c8) = sk_c9
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_55,c_4365]) ).
cnf(c_4374,plain,
( inverse(sk_c4) = sk_c9
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_79,c_4365]) ).
cnf(c_4376,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_51,c_4365]) ).
cnf(c_4401,plain,
( inverse(sk_c9) = sk_c4
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_4374,c_1335]) ).
cnf(c_4445,plain,
( inverse(sk_c9) = sk_c1
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_4376,c_1335]) ).
cnf(c_4492,plain,
( multiply(sk_c9,X0) = X0
| multiply(sk_c9,sk_c5) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_896,c_4364]) ).
cnf(c_4636,plain,
( inverse(sk_c7) != sk_c8
| sk_c9 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_4365,c_396]) ).
cnf(c_4637,plain,
( inverse(sk_c7) != sk_c9
| sk_c9 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_4365,c_394]) ).
cnf(c_4642,plain,
( sk_c9 != sk_c8
| sk_c9 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_4637,c_4331]) ).
cnf(c_4646,plain,
( sk_c9 != identity
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_4636,c_4331]) ).
cnf(c_4700,plain,
( inverse(sk_c1) != sk_c9
| ~ sP0_iProver_split
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_4373,c_394]) ).
cnf(c_4719,plain,
( multiply(sk_c9,sk_c5) = sk_c9
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_77,c_1130]) ).
cnf(c_4740,plain,
( inverse(sk_c6) = sk_c9
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_4719,c_69]) ).
cnf(c_4751,plain,
inverse(sk_c6) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_4740,c_77,c_49,c_69,c_398,c_781,c_843,c_1048,c_1047,c_1478,c_1558,c_3015,c_4257,c_4740]) ).
cnf(c_4762,plain,
( multiply(sk_c9,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
inference(demodulation,[status(thm)],[c_1108,c_4751]) ).
cnf(c_4784,plain,
multiply(sk_c6,multiply(sk_c9,X0)) = X0,
inference(superposition,[status(thm)],[c_4751,c_1333]) ).
cnf(c_4785,plain,
multiply(sk_c6,sk_c9) = identity,
inference(superposition,[status(thm)],[c_4751,c_1332]) ).
cnf(c_4786,plain,
inverse(sk_c9) = sk_c6,
inference(superposition,[status(thm)],[c_4751,c_1335]) ).
cnf(c_4787,plain,
multiply(sk_c9,multiply(sk_c6,X0)) = X0,
inference(superposition,[status(thm)],[c_4751,c_1098]) ).
cnf(c_4788,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm)],[c_4751,c_83]) ).
cnf(c_4803,plain,
( ~ sP0_iProver_split
| sk_c9 = identity ),
inference(global_subsumption_just,[status(thm)],[c_4700,c_77,c_49,c_69,c_398,c_781,c_773,c_843,c_1048,c_1047,c_1478,c_1558,c_3015,c_4257,c_4700,c_4740]) ).
cnf(c_4865,plain,
( multiply(sk_c9,sk_c5) = sk_c8
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_4788,c_4492]) ).
cnf(c_5185,plain,
( sk_c9 = identity
| sk_c6 = sk_c4 ),
inference(light_normalisation,[status(thm)],[c_4401,c_4786]) ).
cnf(c_5191,plain,
( multiply(sk_c6,sk_c9) = sk_c5
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_5185,c_4369]) ).
cnf(c_5194,plain,
( sk_c9 = identity
| sk_c5 = identity ),
inference(light_normalisation,[status(thm)],[c_5191,c_4785]) ).
cnf(c_5203,plain,
( multiply(sk_c9,identity) = sk_c8
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_5194,c_4370]) ).
cnf(c_5235,plain,
( sk_c9 != sk_c8
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_782,c_4642,c_4803]) ).
cnf(c_5265,plain,
( multiply(sk_c9,X0) = X0
| inverse(sk_c1) = sk_c9 ),
inference(light_normalisation,[status(thm)],[c_899,c_4364]) ).
cnf(c_5291,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_5265,c_4762]) ).
cnf(c_5373,plain,
( sk_c1 = sk_c6
| sk_c9 = identity ),
inference(light_normalisation,[status(thm)],[c_4445,c_4786]) ).
cnf(c_5382,plain,
( multiply(sk_c6,sk_c8) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_5373,c_54]) ).
cnf(c_5455,plain,
( multiply(sk_c9,sk_c9) = sk_c8
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_5382,c_4787]) ).
cnf(c_5558,plain,
( inverse(sk_c9) = sk_c1
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_5291,c_1335]) ).
cnf(c_5561,plain,
( sk_c1 = sk_c6
| sk_c9 = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_5558,c_4786]) ).
cnf(c_5587,plain,
( multiply(sk_c6,sk_c8) = sk_c9
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_5561,c_54]) ).
cnf(c_5640,plain,
( inverse(sk_c6) != sk_c9
| ~ sP0_iProver_split
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_5587,c_394]) ).
cnf(c_5643,plain,
( multiply(sk_c9,sk_c9) = sk_c8
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_5587,c_4787]) ).
cnf(c_5647,plain,
( ~ sP0_iProver_split
| sk_c9 = sk_c8 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5640,c_4751]) ).
cnf(c_5895,plain,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_5647,c_5235,c_5647]) ).
cnf(c_5897,plain,
( sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_398,c_5895]) ).
cnf(c_5901,plain,
( sP2_iProver_split
| sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_5897,c_1486,c_1482,c_1974,c_5203,c_5643,c_5897]) ).
cnf(c_5902,plain,
( sP1_iProver_split
| sP2_iProver_split ),
inference(renaming,[status(thm)],[c_5901]) ).
cnf(c_6662,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_4045,c_4053]) ).
cnf(c_6705,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_4053,c_6662]) ).
cnf(c_6706,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_6705,c_6662]) ).
cnf(c_6791,plain,
( inverse(sk_c9) = sk_c1
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_49,c_6706]) ).
cnf(c_6830,plain,
( multiply(sk_c9,X0) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c9,X0) ),
inference(instantiation,[status(thm)],[c_1046]) ).
cnf(c_6834,plain,
( multiply(sk_c9,sk_c9) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_6830]) ).
cnf(c_6908,plain,
inverse(sk_c6) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_6791,c_77,c_49,c_69,c_398,c_781,c_843,c_1048,c_1047,c_1478,c_1558,c_3015,c_4257,c_4740]) ).
cnf(c_6919,plain,
inverse(sk_c9) = sk_c6,
inference(superposition,[status(thm)],[c_6908,c_6706]) ).
cnf(c_8221,plain,
( multiply(inverse(sk_c6),sk_c9) != multiply(sk_c9,X0)
| sk_c8 != multiply(sk_c9,X0)
| multiply(inverse(sk_c6),sk_c9) = sk_c8 ),
inference(instantiation,[status(thm)],[c_2963]) ).
cnf(c_8224,plain,
( multiply(inverse(sk_c6),sk_c9) != multiply(sk_c9,sk_c9)
| sk_c8 != multiply(sk_c9,sk_c9)
| multiply(inverse(sk_c6),sk_c9) = sk_c8 ),
inference(instantiation,[status(thm)],[c_8221]) ).
cnf(c_8319,plain,
multiply(inverse(sk_c6),sk_c9) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_4019,c_77,c_49,c_69,c_405,c_398,c_781,c_843,c_1048,c_1047,c_1053,c_1054,c_1219,c_1220,c_1478,c_1558,c_2013,c_3015,c_4257,c_4740,c_5455,c_5643,c_6834,c_8224]) ).
cnf(c_8321,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(light_normalisation,[status(thm)],[c_8319,c_6908]) ).
cnf(c_8322,plain,
multiply(inverse(sk_c9),sk_c8) = sk_c9,
inference(superposition,[status(thm)],[c_8321,c_4011]) ).
cnf(c_8324,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(light_normalisation,[status(thm)],[c_8322,c_6919]) ).
cnf(c_8790,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_3590,c_8324]) ).
cnf(c_8803,plain,
multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_8790,c_84]) ).
cnf(c_8871,plain,
multiply(sk_c9,sk_c7) = multiply(sk_c6,identity),
inference(superposition,[status(thm)],[c_4368,c_8803]) ).
cnf(c_8911,plain,
multiply(sk_c9,sk_c7) = sk_c6,
inference(demodulation,[status(thm)],[c_8871,c_1291]) ).
cnf(c_8926,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(superposition,[status(thm)],[c_8911,c_4784]) ).
cnf(c_8944,plain,
multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_8926,c_84]) ).
cnf(c_9517,plain,
( multiply(sk_c6,sk_c8) = sk_c5
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_4865,c_4784]) ).
cnf(c_9520,plain,
( sk_c9 = sk_c5
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_9517,c_8790]) ).
cnf(c_9535,plain,
( sk_c9 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_9520,c_5194]) ).
cnf(c_9562,plain,
( inverse(identity) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_9535,c_4751]) ).
cnf(c_9563,plain,
sk_c9 = identity,
inference(light_normalisation,[status(thm)],[c_9562,c_1299]) ).
cnf(c_9564,plain,
~ sP2_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_4646,c_9563]) ).
cnf(c_9605,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm)],[c_4786,c_9563]) ).
cnf(c_9613,plain,
sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_5902,c_9564]) ).
cnf(c_9614,plain,
sk_c8 != identity,
inference(backward_subsumption_resolution,[status(thm)],[c_1558,c_9613]) ).
cnf(c_9619,plain,
sk_c6 = identity,
inference(light_normalisation,[status(thm)],[c_9605,c_1299]) ).
cnf(c_9626,plain,
multiply(identity,multiply(identity,X0)) = multiply(sk_c7,X0),
inference(demodulation,[status(thm)],[c_8944,c_9619]) ).
cnf(c_9628,plain,
multiply(sk_c7,X0) = X0,
inference(light_normalisation,[status(thm)],[c_9626,c_82]) ).
cnf(c_9631,plain,
multiply(sk_c8,X0) = X0,
inference(demodulation,[status(thm)],[c_4364,c_9628]) ).
cnf(c_9632,plain,
sk_c7 = identity,
inference(demodulation,[status(thm)],[c_4368,c_9631]) ).
cnf(c_9634,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm)],[c_4331,c_9632]) ).
cnf(c_9635,plain,
sk_c8 = identity,
inference(light_normalisation,[status(thm)],[c_9634,c_1299]) ).
cnf(c_9636,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_9614,c_9635]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP219-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 01:56:26 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.85/1.21 % SZS status Started for theBenchmark.p
% 3.85/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.21
% 3.85/1.21 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.85/1.21
% 3.85/1.21 ------ iProver source info
% 3.85/1.21
% 3.85/1.21 git: date: 2023-05-31 18:12:56 +0000
% 3.85/1.21 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.85/1.21 git: non_committed_changes: false
% 3.85/1.21 git: last_make_outside_of_git: false
% 3.85/1.21
% 3.85/1.21 ------ Parsing...successful
% 3.85/1.21
% 3.85/1.21
% 3.85/1.21
% 3.85/1.21 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.85/1.21
% 3.85/1.21 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.85/1.21
% 3.85/1.21 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.85/1.21 ------ Proving...
% 3.85/1.21 ------ Problem Properties
% 3.85/1.21
% 3.85/1.21
% 3.85/1.21 clauses 40
% 3.85/1.21 conjectures 37
% 3.85/1.21 EPR 1
% 3.85/1.21 Horn 7
% 3.85/1.21 unary 3
% 3.85/1.21 binary 32
% 3.85/1.21 lits 83
% 3.85/1.21 lits eq 75
% 3.85/1.21 fd_pure 0
% 3.85/1.21 fd_pseudo 0
% 3.85/1.21 fd_cond 0
% 3.85/1.21 fd_pseudo_cond 0
% 3.85/1.21 AC symbols 0
% 3.85/1.21
% 3.85/1.21 ------ Schedule dynamic 5 is on
% 3.85/1.21
% 3.85/1.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.85/1.21
% 3.85/1.21
% 3.85/1.21 ------
% 3.85/1.21 Current options:
% 3.85/1.21 ------
% 3.85/1.21
% 3.85/1.21
% 3.85/1.21
% 3.85/1.21
% 3.85/1.21 ------ Proving...
% 3.85/1.21
% 3.85/1.21
% 3.85/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.21
% 3.85/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.85/1.21
% 3.85/1.21
%------------------------------------------------------------------------------