TSTP Solution File: GRP334-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP334-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 : Fri May 3 02:22:13 EDT 2024
% Result : Unsatisfiable 8.14s 1.63s
% Output : CNFRefutation 8.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 26
% Syntax : Number of clauses : 176 ( 30 unt; 81 nHn; 157 RR)
% Number of literals : 416 ( 367 equ; 172 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c4
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c1) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c4
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c4
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_70,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c6) != X3
| multiply(sk_c6,X3) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c6
| inverse(X1) != sk_c6
| inverse(X2) != sk_c6
| inverse(sk_c6) != sk_c5
| inverse(sk_c7) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_72,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_73,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c6,multiply(X0,sk_c6)) != sk_c5
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c6
| inverse(X1) != sk_c6
| inverse(X2) != sk_c6
| inverse(sk_c6) != sk_c5
| inverse(sk_c7) != sk_c5 ),
inference(unflattening,[status(thm)],[c_70]) ).
cnf(c_79,plain,
( multiply(X2,sk_c5) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(sk_c6,multiply(X0,sk_c6)) != sk_c5
| inverse(X0) != sk_c6
| inverse(X1) != sk_c6
| inverse(X2) != sk_c6
| inverse(sk_c6) != sk_c5
| inverse(sk_c7) != sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_74,c_49,c_74]) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c6,multiply(X0,sk_c6)) != sk_c5
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| inverse(X1) != sk_c6
| inverse(X2) != sk_c6
| inverse(sk_c6) != sk_c5
| inverse(sk_c7) != sk_c5 ),
inference(renaming,[status(thm)],[c_79]) ).
cnf(c_190,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_80]) ).
cnf(c_191,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_80]) ).
cnf(c_192,negated_conjecture,
( multiply(sk_c6,multiply(X0,sk_c6)) != sk_c5
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_80]) ).
cnf(c_193,negated_conjecture,
( inverse(sk_c6) != sk_c5
| inverse(sk_c7) != sk_c5
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_80]) ).
cnf(c_194,plain,
X0 = X0,
theory(equality) ).
cnf(c_195,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_196,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_201,plain,
( multiply(sk_c6,sk_c6) != sk_c7
| inverse(sk_c6) != sk_c6
| ~ sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_190]) ).
cnf(c_338,plain,
( inverse(sk_c1) != sk_c6
| ~ sP0_iProver_def
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_54,c_190]) ).
cnf(c_339,plain,
( inverse(sk_c1) != sk_c6
| ~ sP0_iProver_def
| multiply(sk_c3,sk_c6) = sk_c4 ),
inference(superposition,[status(thm)],[c_53,c_190]) ).
cnf(c_340,plain,
( inverse(sk_c1) != sk_c6
| ~ sP0_iProver_def
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_52,c_190]) ).
cnf(c_342,plain,
( inverse(sk_c1) != sk_c6
| ~ sP0_iProver_def
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_50,c_190]) ).
cnf(c_349,plain,
( ~ sP0_iProver_def
| inverse(sk_c6) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_342,c_55,c_342]) ).
cnf(c_357,plain,
( ~ sP0_iProver_def
| inverse(sk_c3) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_338,c_59,c_338]) ).
cnf(c_365,plain,
( ~ sP0_iProver_def
| multiply(sk_c3,sk_c6) = sk_c4 ),
inference(global_subsumption_just,[status(thm)],[c_339,c_58,c_339]) ).
cnf(c_398,plain,
( multiply(X0,sk_c6) != X1
| sk_c7 != X1
| multiply(X0,sk_c6) = sk_c7 ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_401,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_402,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_401]) ).
cnf(c_403,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_194]) ).
cnf(c_408,plain,
( multiply(identity,sk_c7) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_402]) ).
cnf(c_409,plain,
multiply(identity,sk_c7) = sk_c7,
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_416,plain,
( multiply(sk_c6,sk_c1) = identity
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_55,c_72]) ).
cnf(c_452,plain,
( multiply(X0,sk_c6) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| multiply(X0,sk_c6) = sk_c7 ),
inference(instantiation,[status(thm)],[c_398]) ).
cnf(c_453,plain,
( multiply(sk_c6,sk_c6) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| multiply(sk_c6,sk_c6) = sk_c7 ),
inference(instantiation,[status(thm)],[c_452]) ).
cnf(c_463,plain,
( X0 != identity
| sk_c6 != sk_c7
| multiply(X0,sk_c6) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_464,plain,
( sk_c6 != sk_c7
| sk_c6 != identity
| multiply(sk_c6,sk_c6) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_463]) ).
cnf(c_465,plain,
multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_49,c_73]) ).
cnf(c_468,plain,
( multiply(sk_c1,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_52,c_73]) ).
cnf(c_469,plain,
( multiply(sk_c1,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_51,c_73]) ).
cnf(c_470,plain,
( multiply(sk_c1,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_50,c_73]) ).
cnf(c_481,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_72,c_73]) ).
cnf(c_483,plain,
( multiply(X0,multiply(X1,sk_c6)) != sk_c7
| inverse(multiply(X0,X1)) != sk_c6
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_73,c_190]) ).
cnf(c_488,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_481,c_71]) ).
cnf(c_596,plain,
( multiply(X0,sk_c6) != X1
| X2 != X1
| multiply(X0,sk_c6) = X2 ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_600,plain,
( inverse(sk_c2) != sk_c6
| ~ sP1_iProver_def
| multiply(sk_c3,sk_c6) = sk_c4 ),
inference(superposition,[status(thm)],[c_68,c_191]) ).
cnf(c_601,plain,
( inverse(sk_c2) != sk_c6
| ~ sP1_iProver_def
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_67,c_191]) ).
cnf(c_604,plain,
( inverse(identity) != sk_c6
| sk_c6 != sk_c5
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_71,c_191]) ).
cnf(c_674,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c1) != sk_c6
| ~ sP2_iProver_def
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_54,c_192]) ).
cnf(c_675,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c1) != sk_c6
| ~ sP2_iProver_def
| multiply(sk_c3,sk_c6) = sk_c4 ),
inference(superposition,[status(thm)],[c_53,c_192]) ).
cnf(c_676,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c1) != sk_c6
| ~ sP2_iProver_def
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_52,c_192]) ).
cnf(c_680,plain,
( multiply(sk_c6,sk_c4) != sk_c5
| inverse(sk_c3) != sk_c6
| ~ sP2_iProver_def
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_58,c_192]) ).
cnf(c_681,plain,
( multiply(sk_c6,sk_c6) != sk_c5
| inverse(identity) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_71,c_192]) ).
cnf(c_690,plain,
( ~ sP2_iProver_def
| inverse(sk_c1) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_680,c_59,c_57,c_680]) ).
cnf(c_714,plain,
( ~ sP2_iProver_def
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_676,c_49,c_59,c_57,c_680,c_676]) ).
cnf(c_718,plain,
( ~ sP2_iProver_def
| multiply(sk_c3,sk_c6) = sk_c4 ),
inference(global_subsumption_just,[status(thm)],[c_675,c_49,c_690,c_675]) ).
cnf(c_756,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_194]) ).
cnf(c_758,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_793,plain,
( multiply(sk_c6,multiply(sk_c1,X0)) = multiply(identity,X0)
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_416,c_73]) ).
cnf(c_797,plain,
( multiply(sk_c6,multiply(sk_c1,X0)) = X0
| inverse(sk_c6) = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_793,c_71]) ).
cnf(c_830,plain,
( multiply(sk_c3,sk_c6) != sk_c4
| X0 != sk_c4
| multiply(sk_c3,sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_596]) ).
cnf(c_1056,plain,
( inverse(multiply(inverse(multiply(X0,sk_c6)),X0)) != sk_c6
| sk_c7 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_72,c_483]) ).
cnf(c_1293,plain,
( inverse(sk_c1) != sk_c6
| ~ sP0_iProver_def
| inverse(sk_c6) = sk_c5 ),
inference(resolution,[status(thm)],[c_190,c_50]) ).
cnf(c_1315,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_1390,plain,
( multiply(sk_c3,sk_c6) != sk_c4
| sk_c7 != sk_c4
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(instantiation,[status(thm)],[c_830]) ).
cnf(c_1391,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| inverse(sk_c3) != sk_c6
| ~ sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_190]) ).
cnf(c_1749,plain,
( ~ sP0_iProver_def
| inverse(sk_c6) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_1293,c_349]) ).
cnf(c_1836,plain,
( X0 != sk_c5
| ~ sP0_iProver_def
| inverse(sk_c6) = X0 ),
inference(resolution,[status(thm)],[c_195,c_1749]) ).
cnf(c_1837,plain,
( sk_c6 != sk_c5
| ~ sP0_iProver_def
| inverse(sk_c6) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1836]) ).
cnf(c_1948,plain,
( multiply(sk_c7,sk_c1) = multiply(sk_c1,identity)
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_416,c_470]) ).
cnf(c_2172,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(superposition,[status(thm)],[c_49,c_488]) ).
cnf(c_2173,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c6
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_54,c_488]) ).
cnf(c_2174,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c4 ),
inference(superposition,[status(thm)],[c_53,c_488]) ).
cnf(c_2175,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c6
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_52,c_488]) ).
cnf(c_2183,plain,
( multiply(inverse(sk_c2),sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c4 ),
inference(superposition,[status(thm)],[c_68,c_488]) ).
cnf(c_2184,plain,
( multiply(inverse(sk_c2),sk_c6) = sk_c5
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_67,c_488]) ).
cnf(c_2185,plain,
( multiply(inverse(sk_c2),sk_c6) = sk_c5
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_66,c_488]) ).
cnf(c_2186,plain,
( multiply(inverse(sk_c2),sk_c6) = sk_c5
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_65,c_488]) ).
cnf(c_2187,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_71,c_488]) ).
cnf(c_2188,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_72,c_488]) ).
cnf(c_2189,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_73,c_488]) ).
cnf(c_2190,plain,
( multiply(inverse(sk_c6),identity) = sk_c1
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_416,c_488]) ).
cnf(c_2226,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_488,c_488]) ).
cnf(c_2659,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_1315]) ).
cnf(c_2838,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_59,c_2173]) ).
cnf(c_2845,plain,
( inverse(sk_c3) = sk_c6
| sk_c6 = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_2838,c_49]) ).
cnf(c_2868,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c4
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_56,c_2174]) ).
cnf(c_2869,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c4
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_55,c_2174]) ).
cnf(c_2882,plain,
( multiply(sk_c3,sk_c6) = sk_c4
| multiply(sk_c6,sk_c7) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_2868,c_63,c_58,c_193,c_339,c_600,c_718,c_2869,c_2868]) ).
cnf(c_2883,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c4 ),
inference(renaming,[status(thm)],[c_2882]) ).
cnf(c_2886,plain,
( multiply(sk_c3,sk_c6) = sk_c4
| sk_c6 = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_2883,c_49]) ).
cnf(c_2919,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| multiply(sk_c6,sk_c4) = sk_c5
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_56,c_2175]) ).
cnf(c_2920,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| multiply(sk_c6,sk_c4) = sk_c5
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_55,c_2175]) ).
cnf(c_2933,plain,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_2919,c_62,c_57,c_193,c_340,c_601,c_714,c_2920,c_2919]) ).
cnf(c_2934,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(renaming,[status(thm)],[c_2933]) ).
cnf(c_2937,plain,
( multiply(sk_c6,sk_c4) = sk_c5
| sk_c6 = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_2934,c_49]) ).
cnf(c_3143,plain,
( multiply(sk_c6,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c4
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_61,c_2183]) ).
cnf(c_3144,plain,
( multiply(sk_c6,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c4
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_60,c_2183]) ).
cnf(c_3159,plain,
( multiply(sk_c3,sk_c6) = sk_c4
| multiply(sk_c6,sk_c6) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_3143,c_63,c_193,c_365,c_600,c_718,c_3144,c_3143]) ).
cnf(c_3160,plain,
( multiply(sk_c6,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c4 ),
inference(renaming,[status(thm)],[c_3159]) ).
cnf(c_3176,plain,
( multiply(sk_c6,sk_c6) = sk_c5
| multiply(sk_c6,sk_c4) = sk_c5
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_61,c_2184]) ).
cnf(c_3177,plain,
( multiply(sk_c6,sk_c6) = sk_c5
| multiply(sk_c6,sk_c4) = sk_c5
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_60,c_2184]) ).
cnf(c_3192,plain,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c6,sk_c6) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_3176,c_62,c_57,c_193,c_340,c_601,c_714,c_3177,c_3176]) ).
cnf(c_3193,plain,
( multiply(sk_c6,sk_c6) = sk_c5
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(renaming,[status(thm)],[c_3192]) ).
cnf(c_3209,plain,
( multiply(sk_c6,sk_c6) = sk_c5
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_61,c_2185]) ).
cnf(c_3262,plain,
( multiply(sk_c6,sk_c6) = sk_c5
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_60,c_2186]) ).
cnf(c_3393,plain,
( inverse(sk_c3) != sk_c6
| sk_c7 != sk_c4
| ~ sP0_iProver_def
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_2886,c_190]) ).
cnf(c_3394,plain,
( multiply(inverse(sk_c3),sk_c4) = sk_c6
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_2886,c_488]) ).
cnf(c_3402,plain,
( ~ sP0_iProver_def
| sk_c7 != sk_c4 ),
inference(global_subsumption_just,[status(thm)],[c_3393,c_357,c_365,c_1390,c_1391]) ).
cnf(c_3403,plain,
( sk_c7 != sk_c4
| ~ sP0_iProver_def ),
inference(renaming,[status(thm)],[c_3402]) ).
cnf(c_3952,plain,
( multiply(sk_c6,sk_c4) != sk_c5
| inverse(sk_c3) != sk_c6
| ~ sP2_iProver_def
| multiply(sk_c6,sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_3160,c_192]) ).
cnf(c_3964,plain,
( ~ sP2_iProver_def
| multiply(sk_c6,sk_c6) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_3952,c_49,c_59,c_57,c_680,c_674,c_676,c_3952]) ).
cnf(c_3983,plain,
( inverse(identity) != sk_c6
| ~ sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_681,c_3964]) ).
cnf(c_4019,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c4
| multiply(sk_c6,sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_3193,c_488]) ).
cnf(c_4030,plain,
( multiply(sk_c6,sk_c6) = sk_c5
| sk_c7 = sk_c4 ),
inference(light_normalisation,[status(thm)],[c_4019,c_2172]) ).
cnf(c_4075,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c1,sk_c5)
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_3209,c_469]) ).
cnf(c_4156,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c1,sk_c5)
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_3262,c_470]) ).
cnf(c_6005,plain,
( multiply(sk_c6,sk_c4) = sk_c6
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_2845,c_3394]) ).
cnf(c_6986,plain,
( multiply(sk_c6,multiply(sk_c7,sk_c1)) = identity
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_1948,c_797]) ).
cnf(c_7014,plain,
( multiply(sk_c5,sk_c1) = identity
| inverse(sk_c6) = sk_c5 ),
inference(demodulation,[status(thm)],[c_6986,c_465]) ).
cnf(c_7597,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c6
| sk_c7 = sk_c4 ),
inference(superposition,[status(thm)],[c_4030,c_488]) ).
cnf(c_7605,plain,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c7,sk_c6) = multiply(sk_c1,sk_c5)
| sk_c7 = sk_c4 ),
inference(superposition,[status(thm)],[c_4030,c_468]) ).
cnf(c_7610,plain,
( sk_c6 = sk_c7
| sk_c7 = sk_c4 ),
inference(light_normalisation,[status(thm)],[c_7597,c_2172]) ).
cnf(c_7634,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c1,sk_c5)
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_7605,c_62,c_57,c_193,c_340,c_601,c_714,c_4075,c_4156]) ).
cnf(c_7635,plain,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c7,sk_c6) = multiply(sk_c1,sk_c5) ),
inference(renaming,[status(thm)],[c_7634]) ).
cnf(c_10214,plain,
sk_c6 = sk_c5,
inference(superposition,[status(thm)],[c_6005,c_2937]) ).
cnf(c_10259,plain,
( inverse(identity) != sk_c6
| ~ sP1_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_604,c_10214]) ).
cnf(c_11118,plain,
( multiply(sk_c6,sk_c1) = identity
| inverse(sk_c6) = sk_c6 ),
inference(demodulation,[status(thm)],[c_7014,c_10214]) ).
cnf(c_11119,plain,
( multiply(inverse(sk_c6),identity) = sk_c1
| inverse(sk_c6) = sk_c6 ),
inference(superposition,[status(thm)],[c_11118,c_488]) ).
cnf(c_11179,plain,
( sk_c7 != identity
| identity != identity
| identity = sk_c7 ),
inference(instantiation,[status(thm)],[c_2659]) ).
cnf(c_11289,plain,
( ~ sP0_iProver_def
| sk_c6 = sk_c7 ),
inference(superposition,[status(thm)],[c_7610,c_3403]) ).
cnf(c_11559,plain,
( X0 != sk_c7
| identity != sk_c7
| X0 = identity ),
inference(instantiation,[status(thm)],[c_758]) ).
cnf(c_11563,plain,
( sk_c6 != sk_c7
| identity != sk_c7
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_11559]) ).
cnf(c_11870,plain,
( multiply(sk_c6,sk_c4) = sk_c6
| multiply(sk_c7,sk_c6) = multiply(sk_c1,sk_c6) ),
inference(demodulation,[status(thm)],[c_7635,c_10214]) ).
cnf(c_11881,plain,
( inverse(multiply(inverse(multiply(sk_c7,sk_c6)),sk_c1)) != sk_c6
| sk_c7 != identity
| ~ sP0_iProver_def
| multiply(sk_c6,sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_11870,c_1056]) ).
cnf(c_11972,plain,
( ~ sP0_iProver_def
| sk_c7 != identity ),
inference(global_subsumption_just,[status(thm)],[c_11881,c_201,c_403,c_408,c_409,c_453,c_464,c_756,c_1837,c_10214,c_11179,c_11289,c_11563]) ).
cnf(c_11973,plain,
( sk_c7 != identity
| ~ sP0_iProver_def ),
inference(renaming,[status(thm)],[c_11972]) ).
cnf(c_14967,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_2188,c_2226]) ).
cnf(c_15031,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_14967,c_2187]) ).
cnf(c_15037,plain,
( inverse(sk_c6) = sk_c5
| inverse(sk_c6) = sk_c1 ),
inference(superposition,[status(thm)],[c_14967,c_2190]) ).
cnf(c_15041,plain,
( inverse(sk_c6) = sk_c6
| inverse(sk_c6) = sk_c1 ),
inference(demodulation,[status(thm)],[c_15037,c_10214]) ).
cnf(c_16441,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c1,sk_c6)
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_10214,c_4156]) ).
cnf(c_16461,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm)],[c_10214,c_2172]) ).
cnf(c_16479,plain,
sk_c7 = identity,
inference(demodulation,[status(thm)],[c_16461,c_72]) ).
cnf(c_16524,plain,
( multiply(sk_c1,sk_c6) = multiply(identity,sk_c6)
| inverse(sk_c6) = sk_c6 ),
inference(demodulation,[status(thm)],[c_16441,c_10214,c_16479]) ).
cnf(c_16527,plain,
( multiply(sk_c1,sk_c6) = sk_c6
| inverse(sk_c6) = sk_c6 ),
inference(demodulation,[status(thm)],[c_16524,c_71]) ).
cnf(c_16626,plain,
~ sP0_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_11973,c_16479]) ).
cnf(c_16635,plain,
( inverse(sk_c6) != sk_c5
| inverse(sk_c7) != sk_c5
| sP1_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_193,c_16626]) ).
cnf(c_16636,plain,
( inverse(sk_c6) != sk_c6
| inverse(identity) != sk_c6
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_16635,c_10214,c_16479]) ).
cnf(c_16641,plain,
( inverse(sk_c6) != sk_c6
| inverse(identity) != sk_c6 ),
inference(forward_subsumption_resolution,[status(thm)],[c_16636,c_3983,c_10259]) ).
cnf(c_16642,plain,
( inverse(sk_c6) != sk_c6
| sk_c6 != identity ),
inference(demodulation,[status(thm)],[c_16641,c_15031]) ).
cnf(c_17563,plain,
( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,sk_c5)) = sk_c6
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_3209,c_2189]) ).
cnf(c_17955,plain,
( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,sk_c6)) = sk_c6
| inverse(sk_c7) = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_17563,c_10214]) ).
cnf(c_17956,plain,
sk_c6 = identity,
inference(demodulation,[status(thm)],[c_17955,c_72,c_15031,c_16479]) ).
cnf(c_19975,plain,
inverse(sk_c6) != sk_c6,
inference(backward_subsumption_resolution,[status(thm)],[c_16642,c_17956]) ).
cnf(c_19981,plain,
multiply(sk_c1,sk_c6) = sk_c6,
inference(backward_subsumption_resolution,[status(thm)],[c_16527,c_19975]) ).
cnf(c_19989,plain,
inverse(sk_c6) = sk_c1,
inference(backward_subsumption_resolution,[status(thm)],[c_15041,c_19975]) ).
cnf(c_19999,plain,
multiply(inverse(sk_c6),identity) = sk_c1,
inference(backward_subsumption_resolution,[status(thm)],[c_11119,c_19975]) ).
cnf(c_20011,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm)],[c_19999,c_17956,c_19981,c_19989]) ).
cnf(c_20523,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm)],[c_19989,c_20011]) ).
cnf(c_20524,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_20523,c_19975]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP334-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n009.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu May 2 23:44:40 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.14/1.63 % SZS status Started for theBenchmark.p
% 8.14/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 8.14/1.63
% 8.14/1.63 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.14/1.63
% 8.14/1.63 ------ iProver source info
% 8.14/1.63
% 8.14/1.63 git: date: 2024-05-02 19:28:25 +0000
% 8.14/1.63 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.14/1.63 git: non_committed_changes: false
% 8.14/1.63
% 8.14/1.63 ------ Parsing...successful
% 8.14/1.63
% 8.14/1.63
% 8.14/1.63
% 8.14/1.63 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.14/1.63
% 8.14/1.63 ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.14/1.63
% 8.14/1.63 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.14/1.63 ------ Proving...
% 8.14/1.63 ------ Problem Properties
% 8.14/1.63
% 8.14/1.63
% 8.14/1.63 clauses 28
% 8.14/1.63 conjectures 25
% 8.14/1.63 EPR 0
% 8.14/1.63 Horn 7
% 8.14/1.63 unary 4
% 8.14/1.63 binary 20
% 8.14/1.63 lits 58
% 8.14/1.63 lits eq 52
% 8.14/1.63 fd_pure 0
% 8.14/1.63 fd_pseudo 0
% 8.14/1.63 fd_cond 0
% 8.14/1.63 fd_pseudo_cond 0
% 8.14/1.63 AC symbols 0
% 8.14/1.63
% 8.14/1.63 ------ Input Options Time Limit: Unbounded
% 8.14/1.63
% 8.14/1.63
% 8.14/1.63 ------
% 8.14/1.63 Current options:
% 8.14/1.63 ------
% 8.14/1.63
% 8.14/1.63
% 8.14/1.63
% 8.14/1.63
% 8.14/1.63 ------ Proving...
% 8.14/1.63
% 8.14/1.63
% 8.14/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 8.14/1.63
% 8.14/1.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.14/1.63
% 8.14/1.64
%------------------------------------------------------------------------------