TSTP Solution File: GRP283-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP283-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 00:59:07 EDT 2023
% Result : Unsatisfiable 8.01s 1.63s
% Output : CNFRefutation 8.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 31
% Syntax : Number of clauses : 146 ( 27 unt; 98 nHn; 111 RR)
% Number of literals : 308 ( 284 equ; 76 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 : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_82,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_85,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| multiply(X1,sk_c8) != X2
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c8) != sk_c6
| multiply(sk_c8,X2) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8
| inverse(X0) != sk_c8
| inverse(X1) != sk_c8
| inverse(X3) != sk_c7
| inverse(X4) != sk_c8
| inverse(sk_c7) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_87,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_88,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c8) != sk_c6
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8
| inverse(X0) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c7
| inverse(X3) != sk_c8
| inverse(sk_c7) != sk_c6 ),
inference(unflattening,[status(thm)],[c_85]) ).
cnf(c_434,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c7
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_89]) ).
cnf(c_435,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_89]) ).
cnf(c_436,negated_conjecture,
( multiply(X0,sk_c8) != sk_c6
| inverse(X0) != sk_c8
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_89]) ).
cnf(c_437,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_89]) ).
cnf(c_438,negated_conjecture,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8
| inverse(sk_c7) != sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).
cnf(c_848,plain,
( multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_51,c_88]) ).
cnf(c_852,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_53,c_88]) ).
cnf(c_857,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(superposition,[status(thm)],[c_55,c_88]) ).
cnf(c_871,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_1005,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_871,c_86]) ).
cnf(c_1018,plain,
( multiply(inverse(sk_c7),sk_c8) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_49,c_1005]) ).
cnf(c_1020,plain,
( multiply(inverse(sk_c4),sk_c8) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_51,c_1005]) ).
cnf(c_1027,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_59,c_1005]) ).
cnf(c_1031,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_58,c_1005]) ).
cnf(c_1036,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_77,c_1005]) ).
cnf(c_1038,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(superposition,[status(thm)],[c_73,c_1005]) ).
cnf(c_1040,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c8
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_76,c_1005]) ).
cnf(c_1041,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c8
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_74,c_1005]) ).
cnf(c_1042,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_1005]) ).
cnf(c_1043,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_1005]) ).
cnf(c_1044,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_88,c_1005]) ).
cnf(c_1051,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1005,c_1005]) ).
cnf(c_1200,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1043,c_1051]) ).
cnf(c_1208,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1200,c_1042]) ).
cnf(c_1238,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1051,c_87]) ).
cnf(c_1241,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1051,c_1005]) ).
cnf(c_1242,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1051,c_1200]) ).
cnf(c_1243,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1242,c_1200]) ).
cnf(c_1258,plain,
inverse(inverse(sk_c8)) = sk_c8,
inference(instantiation,[status(thm)],[c_1243]) ).
cnf(c_1301,plain,
( inverse(identity) != sk_c7
| sk_c8 != sk_c7
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_86,c_434]) ).
cnf(c_1302,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c8 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_434]) ).
cnf(c_1304,plain,
( sk_c8 != sk_c7
| sk_c7 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1301,c_1208]) ).
cnf(c_1378,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_435]) ).
cnf(c_1522,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c6 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_436]) ).
cnf(c_1698,plain,
( multiply(sk_c8,identity) != sk_c7
| inverse(inverse(sk_c8)) != sk_c8
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_437]) ).
cnf(c_1969,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_2148,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1238]) ).
cnf(c_2149,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_64,c_1238]) ).
cnf(c_2150,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_1238]) ).
cnf(c_2158,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1238,c_88]) ).
cnf(c_2222,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(identity,X0)
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_2148,c_88]) ).
cnf(c_2227,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = X0
| inverse(sk_c5) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_2222,c_86]) ).
cnf(c_2243,plain,
( inverse(sk_c8) = sk_c1
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1243]) ).
cnf(c_2280,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = X0
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_1241]) ).
cnf(c_2283,plain,
( multiply(sk_c2,multiply(sk_c8,X0)) = X0
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_80,c_1241]) ).
cnf(c_2289,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c8 != sk_c7
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_1241,c_437]) ).
cnf(c_2304,plain,
( sk_c8 != sk_c7
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2289,c_1243]) ).
cnf(c_2375,plain,
( inverse(sk_c8) = sk_c5
| inverse(sk_c8) = sk_c1 ),
inference(superposition,[status(thm)],[c_2243,c_1243]) ).
cnf(c_2376,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c8) = sk_c1 ),
inference(superposition,[status(thm)],[c_2243,c_1238]) ).
cnf(c_2571,plain,
( inverse(sk_c4) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2149,c_58]) ).
cnf(c_2612,plain,
( multiply(sk_c4,sk_c7) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2571,c_1238]) ).
cnf(c_2719,plain,
( inverse(sk_c7) = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2150,c_56]) ).
cnf(c_2747,plain,
( inverse(sk_c6) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2719,c_1243]) ).
cnf(c_3215,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1969,c_86]) ).
cnf(c_3252,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_3215]) ).
cnf(c_3253,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_3215]) ).
cnf(c_3261,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3215,c_3215]) ).
cnf(c_3927,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_64,c_1031]) ).
cnf(c_4060,plain,
( multiply(sk_c1,multiply(sk_c8,inverse(sk_c7))) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_60,c_2158]) ).
cnf(c_4062,plain,
( multiply(sk_c1,multiply(sk_c8,inverse(sk_c7))) = identity
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_56,c_2158]) ).
cnf(c_4069,plain,
( multiply(sk_c2,multiply(sk_c8,inverse(sk_c3))) = identity
| multiply(sk_c5,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_77,c_2158]) ).
cnf(c_4074,plain,
( multiply(sk_c2,multiply(sk_c8,inverse(sk_c3))) = identity
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_74,c_2158]) ).
cnf(c_4548,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_3253,c_3261]) ).
cnf(c_4556,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_4548,c_3252]) ).
cnf(c_4676,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c8) = sk_c5 ),
inference(superposition,[status(thm)],[c_2375,c_87]) ).
cnf(c_4803,plain,
( inverse(sk_c8) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_3927,c_434]) ).
cnf(c_5653,plain,
( multiply(sk_c8,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_82,c_1040]) ).
cnf(c_5678,plain,
( inverse(sk_c4) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_5653,c_70]) ).
cnf(c_5699,plain,
( multiply(sk_c4,sk_c7) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_5678,c_1238]) ).
cnf(c_5772,plain,
( multiply(sk_c8,sk_c3) = sk_c8
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_80,c_1041]) ).
cnf(c_5794,plain,
( inverse(sk_c7) = sk_c6
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_5772,c_68]) ).
cnf(c_5879,plain,
( inverse(sk_c6) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_5794,c_1243]) ).
cnf(c_5880,plain,
( multiply(sk_c7,sk_c6) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_5794,c_1238]) ).
cnf(c_6403,plain,
( multiply(inverse(inverse(sk_c7)),sk_c6) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_1018,c_1005]) ).
cnf(c_7671,plain,
( multiply(inverse(inverse(sk_c2)),sk_c8) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_1036,c_1005]) ).
cnf(c_8822,plain,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_50,c_2280]) ).
cnf(c_8897,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,identity) = multiply(sk_c4,sk_c7) ),
inference(superposition,[status(thm)],[c_1200,c_848]) ).
cnf(c_9325,plain,
( inverse(sk_c4) != sk_c7
| sk_c8 != identity
| ~ sP0_iProver_split
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2612,c_434]) ).
cnf(c_9741,plain,
( multiply(sk_c2,sk_c7) = sk_c3
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_68,c_2283]) ).
cnf(c_10200,plain,
( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,sk_c7)) = sk_c8
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_56,c_1044]) ).
cnf(c_10217,plain,
( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,sk_c3)) = sk_c8
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_74,c_1044]) ).
cnf(c_10252,plain,
( multiply(inverse(multiply(X0,inverse(sk_c7))),multiply(X0,sk_c6)) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_1018,c_1044]) ).
cnf(c_10281,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_1238,c_1044]) ).
cnf(c_10301,plain,
( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,sk_c7)) = sk_c6
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_8822,c_1044]) ).
cnf(c_10305,plain,
( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,sk_c3)) = sk_c7
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_9741,c_1044]) ).
cnf(c_10322,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_10281,c_1200]) ).
cnf(c_13369,plain,
( ~ sP0_iProver_split
| inverse(sk_c4) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_4803,c_1304,c_2571,c_5678]) ).
cnf(c_16805,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_5699,c_63]) ).
cnf(c_16808,plain,
( inverse(sk_c4) != sk_c7
| sk_c8 != identity
| ~ sP0_iProver_split
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_5699,c_434]) ).
cnf(c_17542,plain,
( multiply(sk_c1,sk_c8) = identity
| sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_16805,c_1238]) ).
cnf(c_17745,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c6,identity) = multiply(sk_c5,sk_c8) ),
inference(superposition,[status(thm)],[c_1200,c_852]) ).
cnf(c_18740,plain,
( multiply(inverse(identity),sk_c7) = inverse(sk_c6)
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_5880,c_10322]) ).
cnf(c_18747,plain,
( multiply(inverse(sk_c8),sk_c7) = inverse(sk_c6)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_49,c_10322]) ).
cnf(c_18753,plain,
( multiply(inverse(sk_c8),sk_c4) = inverse(sk_c7)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_51,c_10322]) ).
cnf(c_18776,plain,
( multiply(inverse(sk_c8),sk_c8) = inverse(sk_c3)
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_5772,c_10322]) ).
cnf(c_18833,plain,
( multiply(inverse(sk_c6),inverse(sk_c7)) = inverse(sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_1018,c_10322]) ).
cnf(c_18837,plain,
( multiply(inverse(sk_c7),inverse(sk_c4)) = inverse(sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_1020,c_10322]) ).
cnf(c_18847,plain,
( multiply(inverse(sk_c8),inverse(sk_c1)) = inverse(sk_c7)
| multiply(sk_c5,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_1027,c_10322]) ).
cnf(c_18856,plain,
( multiply(inverse(sk_c8),inverse(sk_c2)) = inverse(sk_c3)
| multiply(sk_c5,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_1036,c_10322]) ).
cnf(c_19005,plain,
( multiply(identity,sk_c7) = inverse(sk_c6)
| sk_c8 = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_18740,c_1208]) ).
cnf(c_21046,plain,
( inverse(sk_c8) = sk_c1
| inverse(sk_c1) = sk_c8
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2376,c_65]) ).
cnf(c_24469,plain,
( sk_c8 != identity
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1302,c_1304,c_9325,c_13369,c_16808]) ).
cnf(c_24639,plain,
( sk_c7 != identity
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1378,c_1258,c_1378]) ).
cnf(c_24673,plain,
( sk_c6 != identity
| ~ sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1522,c_1258,c_1522]) ).
cnf(c_26347,plain,
( inverse(sk_c7) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_4060,c_2227]) ).
cnf(c_26498,plain,
( inverse(sk_c7) = sk_c6
| inverse(sk_c7) = identity ),
inference(superposition,[status(thm)],[c_4062,c_2280]) ).
cnf(c_26561,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c7) = identity ),
inference(superposition,[status(thm)],[c_26347,c_1238]) ).
cnf(c_26760,plain,
( inverse(sk_c7) = identity
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_26498,c_1243]) ).
cnf(c_27339,plain,
( inverse(sk_c7) = sk_c6
| inverse(sk_c3) = identity ),
inference(superposition,[status(thm)],[c_4074,c_2283]) ).
cnf(c_27625,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c7,identity) = multiply(sk_c1,sk_c8) ),
inference(superposition,[status(thm)],[c_1200,c_857]) ).
cnf(c_31110,plain,
( multiply(sk_c8,inverse(sk_c6)) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_18747,c_1241]) ).
cnf(c_31563,plain,
( multiply(sk_c8,inverse(sk_c7)) = sk_c4
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_18753,c_1241]) ).
cnf(c_33717,plain,
( inverse(sk_c8) = sk_c1
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_21046,c_1243]) ).
cnf(c_33793,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_33717,c_31563,c_31110,c_27625,c_27339,c_26760,c_26561,c_26498,c_24673,c_24639,c_24469,c_19005,c_18856,c_18847,c_18837,c_18833,c_18776,c_18753,c_17745,c_17542,c_10305,c_10301,c_10252,c_10217,c_10200,c_8897,c_7671,c_6403,c_5879,c_4676,c_4069,c_2747,c_2304,c_1698,c_1304,c_4556,c_1200,c_1038,c_1036,c_438,c_87,c_83,c_79,c_77,c_71,c_67,c_65,c_60,c_59,c_58,c_57,c_56,c_55,c_53,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP283-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 20:37:15 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.01/1.63 % SZS status Started for theBenchmark.p
% 8.01/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 8.01/1.63
% 8.01/1.63 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.01/1.63
% 8.01/1.63 ------ iProver source info
% 8.01/1.63
% 8.01/1.63 git: date: 2023-05-31 18:12:56 +0000
% 8.01/1.63 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.01/1.63 git: non_committed_changes: false
% 8.01/1.63 git: last_make_outside_of_git: false
% 8.01/1.63
% 8.01/1.63 ------ Parsing...successful
% 8.01/1.63
% 8.01/1.63
% 8.01/1.63
% 8.01/1.63 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.01/1.63
% 8.01/1.63 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.01/1.63
% 8.01/1.63 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.01/1.63 ------ Proving...
% 8.01/1.63 ------ Problem Properties
% 8.01/1.63
% 8.01/1.63
% 8.01/1.63 clauses 44
% 8.01/1.63 conjectures 41
% 8.01/1.63 EPR 0
% 8.01/1.63 Horn 7
% 8.01/1.63 unary 3
% 8.01/1.63 binary 36
% 8.01/1.63 lits 94
% 8.01/1.63 lits eq 86
% 8.01/1.63 fd_pure 0
% 8.01/1.63 fd_pseudo 0
% 8.01/1.64 fd_cond 0
% 8.01/1.64 fd_pseudo_cond 0
% 8.01/1.64 AC symbols 0
% 8.01/1.64
% 8.01/1.64 ------ Schedule dynamic 5 is on
% 8.01/1.64
% 8.01/1.64 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.01/1.64
% 8.01/1.64
% 8.01/1.64 ------
% 8.01/1.64 Current options:
% 8.01/1.64 ------
% 8.01/1.64
% 8.01/1.64
% 8.01/1.64
% 8.01/1.64
% 8.01/1.64 ------ Proving...
% 8.01/1.64
% 8.01/1.64
% 8.01/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 8.01/1.64
% 8.01/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.01/1.64
% 8.01/1.64
%------------------------------------------------------------------------------