TSTP Solution File: GRP286-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP286-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 00:59:08 EDT 2023
% Result : Unsatisfiable 7.95s 1.67s
% Output : CNFRefutation 7.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 33
% Syntax : Number of clauses : 270 ( 48 unt; 115 nHn; 237 RR)
% Number of literals : 635 ( 595 equ; 251 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 4 ( 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 : 125 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| 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_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| multiply(X1,sk_c7) != sk_c6
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c8) != X4
| multiply(sk_c8,X4) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X0) != sk_c8
| inverse(X1) != sk_c7
| inverse(X2) != sk_c7
| inverse(X3) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_81,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_82,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c7) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X0) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c7
| inverse(X3) != sk_c7 ),
inference(unflattening,[status(thm)],[c_79]) ).
cnf(c_376,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_83]) ).
cnf(c_377,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_83]) ).
cnf(c_378,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c7
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_83]) ).
cnf(c_379,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_83]) ).
cnf(c_380,negated_conjecture,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c8) != sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).
cnf(c_381,plain,
X0 = X0,
theory(equality) ).
cnf(c_382,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_383,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_387,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_607,plain,
( multiply(sk_c7,sk_c3) = identity
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_63,c_81]) ).
cnf(c_730,plain,
( inverse(sk_c3) != sk_c7
| sk_c8 != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_74,c_376]) ).
cnf(c_731,plain,
( inverse(sk_c3) != sk_c7
| sk_c8 != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_62,c_376]) ).
cnf(c_737,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c6 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_376]) ).
cnf(c_803,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_377]) ).
cnf(c_862,plain,
( inverse(sk_c3) != sk_c7
| ~ sP2_iProver_split
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_74,c_378]) ).
cnf(c_863,plain,
( inverse(sk_c3) != sk_c7
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_62,c_378]) ).
cnf(c_869,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c8 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_378]) ).
cnf(c_919,plain,
( multiply(sk_c8,sk_c7) != X0
| sk_c6 != X0
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_920,plain,
( multiply(sk_c8,sk_c7) != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_919]) ).
cnf(c_922,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_923,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_922]) ).
cnf(c_924,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_925,plain,
( sk_c7 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_923]) ).
cnf(c_929,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_923]) ).
cnf(c_930,plain,
( multiply(identity,sk_c6) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_923]) ).
cnf(c_931,plain,
multiply(identity,sk_c6) = sk_c6,
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_933,plain,
( X0 != X1
| sk_c6 != X1
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_934,plain,
( sk_c7 != sk_c7
| sk_c6 != sk_c7
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_933]) ).
cnf(c_947,plain,
( multiply(sk_c8,sk_c5) != sk_c7
| inverse(sk_c4) != sk_c8
| ~ sP3_iProver_split
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_379]) ).
cnf(c_948,plain,
( multiply(sk_c8,sk_c5) != sk_c7
| inverse(sk_c4) != sk_c8
| ~ sP3_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_65,c_379]) ).
cnf(c_1009,plain,
( X0 != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_922]) ).
cnf(c_1015,plain,
( X0 != multiply(sk_c7,sk_c8)
| sk_c6 != multiply(sk_c7,sk_c8)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_933]) ).
cnf(c_1016,plain,
( sk_c7 != multiply(sk_c7,sk_c8)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1015]) ).
cnf(c_1017,plain,
( X0 != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_933]) ).
cnf(c_1018,plain,
( sk_c7 != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1017]) ).
cnf(c_1019,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_923]) ).
cnf(c_1022,plain,
( multiply(sk_c2,sk_c7) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(instantiation,[status(thm)],[c_923]) ).
cnf(c_1057,plain,
( multiply(identity,sk_c6) != X0
| X1 != X0
| X1 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1058,plain,
( multiply(identity,sk_c6) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1057]) ).
cnf(c_1059,plain,
( multiply(X0,X1) != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| sk_c6 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1009]) ).
cnf(c_1060,plain,
( X0 != identity
| X1 != sk_c6
| multiply(X0,X1) = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_383]) ).
cnf(c_1070,plain,
( multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_49,c_82]) ).
cnf(c_1078,plain,
( multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_74,c_82]) ).
cnf(c_1079,plain,
( multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_62,c_82]) ).
cnf(c_1097,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_1228,plain,
( X0 != multiply(sk_c2,sk_c7)
| sk_c6 != multiply(sk_c2,sk_c7)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_933]) ).
cnf(c_1229,plain,
( X0 != multiply(sk_c2,sk_c7)
| sk_c6 != multiply(sk_c2,sk_c7)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_922]) ).
cnf(c_1234,plain,
( X0 != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_922]) ).
cnf(c_1235,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1234]) ).
cnf(c_1247,plain,
( multiply(identity,sk_c6) != X0
| X1 != X0
| multiply(identity,sk_c6) = X1 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1252,plain,
( multiply(identity,sk_c6) != sk_c6
| X0 != sk_c6
| X0 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1057]) ).
cnf(c_1253,plain,
( multiply(identity,sk_c6) != sk_c6
| sk_c7 != sk_c6
| sk_c7 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1252]) ).
cnf(c_1265,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1267,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1278,plain,
( multiply(X0,X1) != multiply(sk_c2,sk_c7)
| sk_c6 != multiply(sk_c2,sk_c7)
| multiply(X0,X1) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1228]) ).
cnf(c_1279,plain,
( X0 != sk_c2
| X1 != sk_c7
| multiply(X0,X1) = multiply(sk_c2,sk_c7) ),
inference(instantiation,[status(thm)],[c_383]) ).
cnf(c_1280,plain,
( multiply(sk_c7,sk_c7) != multiply(sk_c2,sk_c7)
| sk_c6 != multiply(sk_c2,sk_c7)
| multiply(sk_c7,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1278]) ).
cnf(c_1281,plain,
( sk_c7 != sk_c7
| sk_c7 != sk_c2
| multiply(sk_c7,sk_c7) = multiply(sk_c2,sk_c7) ),
inference(instantiation,[status(thm)],[c_1279]) ).
cnf(c_1283,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1097,c_80]) ).
cnf(c_1293,plain,
( multiply(inverse(sk_c3),sk_c8) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_68,c_1283]) ).
cnf(c_1295,plain,
( multiply(inverse(sk_c3),sk_c8) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_50,c_1283]) ).
cnf(c_1296,plain,
( multiply(inverse(sk_c3),sk_c8) = sk_c7
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_74,c_1283]) ).
cnf(c_1297,plain,
( multiply(inverse(sk_c3),sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_62,c_1283]) ).
cnf(c_1304,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c8
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_1283]) ).
cnf(c_1305,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_65,c_1283]) ).
cnf(c_1314,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_1283]) ).
cnf(c_1315,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_1283]) ).
cnf(c_1317,plain,
( multiply(inverse(sk_c7),identity) = sk_c3
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_607,c_1283]) ).
cnf(c_1321,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1283,c_1283]) ).
cnf(c_1399,plain,
( multiply(sk_c8,sk_c7) != X0
| X1 != X0
| X1 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1400,plain,
( multiply(sk_c8,sk_c7) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_1399]) ).
cnf(c_1681,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1315,c_1321]) ).
cnf(c_1689,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1681,c_1314]) ).
cnf(c_1716,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1321,c_81]) ).
cnf(c_1721,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1321,c_1283]) ).
cnf(c_1722,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1321,c_1681]) ).
cnf(c_1723,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1722,c_1681]) ).
cnf(c_1746,plain,
inverse(inverse(sk_c7)) = sk_c7,
inference(instantiation,[status(thm)],[c_1723]) ).
cnf(c_1769,plain,
( inverse(sk_c7) = sk_c3
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_63,c_1723]) ).
cnf(c_1770,plain,
( inverse(sk_c8) = sk_c4
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_78,c_1723]) ).
cnf(c_1771,plain,
( inverse(sk_c8) = sk_c4
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1723]) ).
cnf(c_1790,plain,
( multiply(identity,sk_c6) != sk_c6
| X0 != sk_c6
| multiply(identity,sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_1247]) ).
cnf(c_1862,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1941,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c6,identity)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_1681,c_1070]) ).
cnf(c_1965,plain,
( multiply(sk_c3,sk_c7) = identity
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_75,c_1716]) ).
cnf(c_1966,plain,
( multiply(sk_c3,sk_c7) = identity
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_63,c_1716]) ).
cnf(c_1967,plain,
( multiply(sk_c4,sk_c8) = identity
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_78,c_1716]) ).
cnf(c_1969,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c8) = sk_c4 ),
inference(superposition,[status(thm)],[c_1771,c_1716]) ).
cnf(c_1970,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c7) = sk_c3 ),
inference(superposition,[status(thm)],[c_1769,c_1716]) ).
cnf(c_1971,plain,
( multiply(sk_c2,sk_c7) = identity
| inverse(sk_c8) = sk_c4 ),
inference(superposition,[status(thm)],[c_1770,c_1716]) ).
cnf(c_2022,plain,
( multiply(sk_c7,sk_c8) != X0
| X1 != X0
| X1 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_2023,plain,
( multiply(sk_c7,sk_c8) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_2022]) ).
cnf(c_2126,plain,
( multiply(sk_c3,multiply(sk_c7,X0)) = X0
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_75,c_1721]) ).
cnf(c_2127,plain,
( multiply(sk_c3,multiply(sk_c7,X0)) = X0
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_63,c_1721]) ).
cnf(c_2139,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c8 != sk_c7
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_1721,c_379]) ).
cnf(c_2160,plain,
( sk_c8 != sk_c7
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2139,c_1723]) ).
cnf(c_2179,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c7,sk_c8),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_2263,plain,
( X0 != X1
| sk_c2 != X1
| X0 = sk_c2 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_2277,plain,
( inverse(sk_c2) = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1965,c_74]) ).
cnf(c_2340,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1966,c_62]) ).
cnf(c_2363,plain,
( multiply(sk_c1,sk_c8) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2340,c_1716]) ).
cnf(c_2400,plain,
( inverse(sk_c2) = sk_c7
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_1967,c_77]) ).
cnf(c_2426,plain,
( multiply(sk_c2,sk_c7) = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_2400,c_1716]) ).
cnf(c_2562,plain,
( multiply(sk_c8,sk_c7) != X0
| X1 != X0
| multiply(sk_c8,sk_c7) = X1 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_2793,plain,
( multiply(sk_c7,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_75,c_1296]) ).
cnf(c_2837,plain,
( inverse(sk_c2) = sk_c7
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_2793,c_73]) ).
cnf(c_2859,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| multiply(identity,sk_c6) != sk_c6
| multiply(identity,sk_c6) = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_1790]) ).
cnf(c_2876,plain,
( multiply(sk_c2,sk_c7) = identity
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_2837,c_1716]) ).
cnf(c_2906,plain,
( multiply(sk_c7,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_63,c_1297]) ).
cnf(c_2946,plain,
( inverse(sk_c1) = sk_c8
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_2906,c_61]) ).
cnf(c_2989,plain,
( multiply(sk_c1,sk_c8) = identity
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_2946,c_1716]) ).
cnf(c_3127,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_1862]) ).
cnf(c_3128,plain,
( sk_c7 != identity
| identity != identity
| identity = sk_c7 ),
inference(instantiation,[status(thm)],[c_3127]) ).
cnf(c_3252,plain,
( multiply(identity,sk_c6) != multiply(sk_c7,sk_c8)
| X0 != multiply(sk_c7,sk_c8)
| multiply(identity,sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_1247]) ).
cnf(c_3254,plain,
( multiply(identity,sk_c6) != multiply(sk_c7,sk_c8)
| sk_c7 != multiply(sk_c7,sk_c8)
| multiply(identity,sk_c6) = sk_c7 ),
inference(instantiation,[status(thm)],[c_3252]) ).
cnf(c_3402,plain,
( sk_c8 != X0
| sk_c7 != X0
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_3414,plain,
( multiply(sk_c8,sk_c5) = sk_c8
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_78,c_1304]) ).
cnf(c_3449,plain,
( inverse(sk_c2) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_3414,c_76]) ).
cnf(c_3525,plain,
( multiply(sk_c8,sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1305]) ).
cnf(c_3545,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_3525,c_64]) ).
cnf(c_3619,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_3795,plain,
( multiply(sk_c7,sk_c8) != X0
| X1 != X0
| multiply(sk_c7,sk_c8) = X1 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_3796,plain,
( multiply(sk_c7,sk_c8) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| X2 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_2022]) ).
cnf(c_3797,plain,
( sk_c8 != X0
| sk_c7 != X1
| multiply(sk_c7,sk_c8) = multiply(X1,X0) ),
inference(instantiation,[status(thm)],[c_383]) ).
cnf(c_3798,plain,
( multiply(sk_c7,sk_c8) != multiply(sk_c7,sk_c7)
| sk_c7 != multiply(sk_c7,sk_c7)
| sk_c7 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_3796]) ).
cnf(c_3799,plain,
( sk_c8 != sk_c7
| sk_c7 != sk_c7
| multiply(sk_c7,sk_c8) = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_3797]) ).
cnf(c_4617,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3619,c_80]) ).
cnf(c_4648,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_4617]) ).
cnf(c_4649,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_4617]) ).
cnf(c_4655,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4617,c_4617]) ).
cnf(c_4915,plain,
( multiply(X0,X1) != X2
| X3 != X2
| X3 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_5019,plain,
( inverse(sk_c2) != sk_c7
| sk_c8 != identity
| ~ sP2_iProver_split
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_2426,c_378]) ).
cnf(c_5089,plain,
( ~ sP2_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_863,c_869,c_1746,c_2340]) ).
cnf(c_5627,plain,
( multiply(sk_c8,sk_c7) != multiply(identity,sk_c6)
| X0 != multiply(identity,sk_c6)
| multiply(sk_c8,sk_c7) = X0 ),
inference(instantiation,[status(thm)],[c_2562]) ).
cnf(c_5630,plain,
( multiply(sk_c8,sk_c7) != multiply(identity,sk_c6)
| sk_c7 != multiply(identity,sk_c6)
| multiply(sk_c8,sk_c7) = sk_c7 ),
inference(instantiation,[status(thm)],[c_5627]) ).
cnf(c_5679,plain,
( multiply(sk_c2,sk_c7) != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(instantiation,[status(thm)],[c_1059]) ).
cnf(c_5694,plain,
( multiply(sk_c8,sk_c5) = sk_c7
| sk_c7 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2876,c_70]) ).
cnf(c_5695,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2876,c_67]) ).
cnf(c_5697,plain,
( inverse(sk_c3) = sk_c7
| sk_c7 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2876,c_69]) ).
cnf(c_5733,plain,
( multiply(sk_c8,sk_c5) = sk_c7
| sk_c7 = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2989,c_58]) ).
cnf(c_5734,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2989,c_55]) ).
cnf(c_5736,plain,
( inverse(sk_c3) = sk_c7
| sk_c7 = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2989,c_57]) ).
cnf(c_6148,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_4649,c_4655]) ).
cnf(c_6156,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_6148,c_4648]) ).
cnf(c_7626,plain,
( multiply(sk_c7,sk_c8) != multiply(sk_c7,sk_c8)
| X0 != multiply(sk_c7,sk_c8)
| multiply(sk_c7,sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_3795]) ).
cnf(c_7627,plain,
( multiply(sk_c7,sk_c8) != multiply(sk_c7,sk_c8)
| sk_c7 != multiply(sk_c7,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_7626]) ).
cnf(c_9647,plain,
( inverse(sk_c8) = sk_c4
| inverse(sk_c4) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1969,c_60]) ).
cnf(c_9703,plain,
( inverse(sk_c7) = sk_c3
| inverse(sk_c3) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1970,c_57]) ).
cnf(c_10400,plain,
( multiply(sk_c8,X0) = X0
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_1078,c_2126]) ).
cnf(c_10441,plain,
( multiply(sk_c8,sk_c7) = sk_c7
| inverse(sk_c2) = sk_c7 ),
inference(instantiation,[status(thm)],[c_10400]) ).
cnf(c_10610,plain,
( multiply(sk_c7,sk_c8) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6
| sk_c7 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_5697,c_1293]) ).
cnf(c_10766,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c7
| sk_c7 = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_5736,c_1295]) ).
cnf(c_10834,plain,
( inverse(sk_c8) = sk_c4
| inverse(sk_c4) = sk_c8
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1971,c_72]) ).
cnf(c_11538,plain,
( multiply(sk_c8,X0) = X0
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_1079,c_2127]) ).
cnf(c_11565,plain,
( multiply(sk_c8,sk_c7) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(instantiation,[status(thm)],[c_11538]) ).
cnf(c_11601,plain,
( sk_c6 != X0
| identity != X0
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_1267]) ).
cnf(c_11604,plain,
( sk_c6 != sk_c7
| identity != sk_c7
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_11601]) ).
cnf(c_11622,plain,
( multiply(identity,sk_c6) != identity
| X0 != identity
| X0 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1057]) ).
cnf(c_11624,plain,
( multiply(identity,sk_c6) != identity
| sk_c7 != identity
| sk_c7 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_11622]) ).
cnf(c_11634,plain,
( X0 != identity
| sk_c2 != identity
| X0 = sk_c2 ),
inference(instantiation,[status(thm)],[c_2263]) ).
cnf(c_11638,plain,
( sk_c7 != identity
| sk_c2 != identity
| sk_c7 = sk_c2 ),
inference(instantiation,[status(thm)],[c_11634]) ).
cnf(c_11642,plain,
( sk_c8 != identity
| sk_c7 != identity
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_3402]) ).
cnf(c_12183,plain,
( sk_c6 != identity
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_737,c_737,c_1746]) ).
cnf(c_12241,plain,
( sk_c8 != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_803,c_1723]) ).
cnf(c_12242,plain,
( sk_c7 != identity
| ~ sP1_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_12241]) ).
cnf(c_12265,plain,
( sk_c8 != identity
| ~ sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_869,c_869,c_1746]) ).
cnf(c_12994,plain,
( sk_c6 != identity
| identity != identity
| identity = sk_c6 ),
inference(instantiation,[status(thm)],[c_3127]) ).
cnf(c_12997,plain,
( multiply(identity,sk_c6) != sk_c6
| identity != sk_c6
| multiply(identity,sk_c6) = identity ),
inference(instantiation,[status(thm)],[c_1790]) ).
cnf(c_13014,plain,
( multiply(sk_c2,sk_c7) != identity
| identity != identity
| identity = multiply(sk_c2,sk_c7) ),
inference(instantiation,[status(thm)],[c_3127]) ).
cnf(c_13016,plain,
( sk_c6 != multiply(sk_c2,sk_c7)
| identity != multiply(sk_c2,sk_c7)
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_1229]) ).
cnf(c_15235,plain,
( sk_c7 = sk_c6
| sk_c6 = identity ),
inference(global_subsumption_just,[status(thm)],[c_5694,c_387,c_924,c_929,c_1016,c_1022,c_1265,c_2023,c_2876,c_5695,c_10610,c_13014,c_13016]) ).
cnf(c_15381,plain,
( sk_c7 = sk_c6
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_5733,c_924,c_930,c_931,c_1018,c_1265,c_5733,c_11624,c_12994,c_12997,c_15235]) ).
cnf(c_15382,plain,
( multiply(sk_c8,sk_c5) = sk_c7
| sk_c7 = sk_c6 ),
inference(renaming,[status(thm)],[c_15381]) ).
cnf(c_15693,plain,
( sk_c7 = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_5734,c_924,c_930,c_931,c_1018,c_1265,c_5734,c_11624,c_12994,c_12997,c_15235]) ).
cnf(c_15694,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = sk_c6 ),
inference(renaming,[status(thm)],[c_15693]) ).
cnf(c_18214,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c7
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_377]) ).
cnf(c_18216,plain,
( sk_c8 != sk_c7
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_18214,c_6156]) ).
cnf(c_18436,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_18531,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_18436,c_80]) ).
cnf(c_18545,plain,
( multiply(inverse(sk_c3),sk_c8) = sk_c7
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_74,c_18531]) ).
cnf(c_18546,plain,
( multiply(inverse(sk_c3),sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_62,c_18531]) ).
cnf(c_18696,plain,
( multiply(sk_c7,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_75,c_18545]) ).
cnf(c_18729,plain,
( inverse(sk_c7) != sk_c8
| ~ sP1_iProver_split
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_18696,c_377]) ).
cnf(c_18764,plain,
( multiply(sk_c7,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_63,c_18546]) ).
cnf(c_18828,plain,
( inverse(sk_c7) != sk_c8
| ~ sP1_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_18764,c_377]) ).
cnf(c_20125,plain,
( ~ sP1_iProver_split
| inverse(sk_c2) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_18729,c_2277,c_3449,c_18216]) ).
cnf(c_20141,plain,
( ~ sP1_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_18828,c_2340,c_3545,c_18216]) ).
cnf(c_20957,plain,
( inverse(sk_c8) = sk_c4
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_9647,c_1723]) ).
cnf(c_21024,plain,
( inverse(sk_c7) = sk_c3
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_9703,c_1723]) ).
cnf(c_21031,plain,
( inverse(sk_c8) = sk_c4
| sk_c6 = identity ),
inference(global_subsumption_just,[status(thm)],[c_10834,c_925,c_924,c_1265,c_3128,c_11604,c_15235,c_20957]) ).
cnf(c_21048,plain,
( multiply(sk_c4,sk_c8) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_21031,c_81]) ).
cnf(c_21305,plain,
( multiply(sk_c2,sk_c7) = sk_c6
| sk_c6 = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_21048,c_71]) ).
cnf(c_21308,plain,
( inverse(sk_c2) = sk_c7
| sk_c6 = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_21048,c_77]) ).
cnf(c_21408,plain,
( sk_c6 = identity
| sk_c5 = identity ),
inference(global_subsumption_just,[status(thm)],[c_21308,c_924,c_1022,c_1265,c_2426,c_13014,c_13016,c_21305]) ).
cnf(c_21444,plain,
( multiply(sk_c8,identity) = sk_c7
| inverse(sk_c2) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_21408,c_76]) ).
cnf(c_21684,plain,
( multiply(sk_c3,sk_c7) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_21024,c_81]) ).
cnf(c_22409,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_21684,c_56]) ).
cnf(c_22808,plain,
( sk_c8 = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_22409,c_2363]) ).
cnf(c_24373,plain,
( multiply(X0,X1) != sk_c6
| X2 != sk_c6
| X2 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_4915]) ).
cnf(c_24375,plain,
( multiply(sk_c7,sk_c7) != sk_c6
| sk_c7 != sk_c6
| sk_c7 = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_24373]) ).
cnf(c_24385,plain,
( sk_c8 != X0
| sk_c6 != X0
| sk_c8 = sk_c6 ),
inference(instantiation,[status(thm)],[c_933]) ).
cnf(c_24389,plain,
( sk_c8 != sk_c7
| sk_c6 != sk_c7
| sk_c8 = sk_c6 ),
inference(instantiation,[status(thm)],[c_24385]) ).
cnf(c_25096,plain,
( sk_c8 != identity
| sk_c7 != sk_c6
| multiply(sk_c8,sk_c7) = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1060]) ).
cnf(c_25102,plain,
( sk_c7 != sk_c6
| sk_c2 != identity
| multiply(sk_c2,sk_c7) = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1060]) ).
cnf(c_27347,plain,
inverse(sk_c1) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_1317,c_66,c_63,c_64,c_61,c_380,c_731,c_920,c_925,c_924,c_948,c_2946,c_3545,c_5089,c_11565,c_20141,c_24389]) ).
cnf(c_27407,plain,
multiply(sk_c1,multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_27347,c_1721]) ).
cnf(c_27408,plain,
multiply(sk_c1,sk_c8) = identity,
inference(superposition,[status(thm)],[c_27347,c_1716]) ).
cnf(c_27409,plain,
inverse(sk_c8) = sk_c1,
inference(superposition,[status(thm)],[c_27347,c_1723]) ).
cnf(c_27410,plain,
multiply(sk_c8,multiply(sk_c1,X0)) = X0,
inference(superposition,[status(thm)],[c_27347,c_1283]) ).
cnf(c_27411,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm)],[c_27347,c_81]) ).
cnf(c_27446,plain,
( multiply(sk_c4,sk_c8) = sk_c5
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_59,c_27408]) ).
cnf(c_27447,plain,
( multiply(sk_c8,sk_c5) = sk_c7
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_58,c_27408]) ).
cnf(c_27481,plain,
( sk_c7 = identity
| sk_c4 = sk_c1 ),
inference(demodulation,[status(thm)],[c_20957,c_27409]) ).
cnf(c_27659,plain,
( inverse(identity) = sk_c1
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_22808,c_27409]) ).
cnf(c_27665,plain,
( sk_c7 = identity
| sk_c1 = identity ),
inference(light_normalisation,[status(thm)],[c_27659,c_1689]) ).
cnf(c_27688,plain,
( multiply(sk_c1,sk_c7) = sk_c5
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_15382,c_27407]) ).
cnf(c_27824,plain,
( multiply(sk_c4,identity) = sk_c5
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_22808,c_27446]) ).
cnf(c_27964,plain,
inverse(sk_c2) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_21444,c_78,c_75,c_76,c_73,c_380,c_730,c_862,c_920,c_925,c_924,c_947,c_2837,c_3449,c_10441,c_20125,c_24389]) ).
cnf(c_28018,plain,
inverse(sk_c7) = sk_c2,
inference(superposition,[status(thm)],[c_27964,c_1723]) ).
cnf(c_28571,plain,
( multiply(sk_c8,multiply(identity,X0)) = X0
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_27665,c_27410]) ).
cnf(c_28586,plain,
( multiply(sk_c8,X0) = X0
| sk_c7 = identity ),
inference(light_normalisation,[status(thm)],[c_28571,c_80]) ).
cnf(c_28592,plain,
( multiply(sk_c8,sk_c7) = sk_c7
| sk_c7 = identity ),
inference(instantiation,[status(thm)],[c_28586]) ).
cnf(c_29664,plain,
sk_c7 = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_27688,c_387,c_924,c_930,c_931,c_934,c_1018,c_1019,c_1058,c_1235,c_1265,c_1400,c_2023,c_2859,c_3254,c_10766,c_11624,c_12994,c_12997,c_15235,c_15694,c_28592]) ).
cnf(c_29714,plain,
( sk_c7 != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_12183,c_29664]) ).
cnf(c_29724,plain,
( multiply(sk_c8,sk_c7) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_380,c_29664]) ).
cnf(c_30169,plain,
( sk_c7 = identity
| sk_c5 = sk_c4 ),
inference(demodulation,[status(thm)],[c_27824,c_1681]) ).
cnf(c_30181,plain,
( sk_c7 = identity
| sk_c5 = sk_c1 ),
inference(superposition,[status(thm)],[c_30169,c_27481]) ).
cnf(c_30206,plain,
( multiply(sk_c8,sk_c1) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_30181,c_27447]) ).
cnf(c_30210,plain,
sk_c7 = identity,
inference(light_normalisation,[status(thm)],[c_30206,c_27411]) ).
cnf(c_30211,plain,
~ sP0_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_29714,c_30210]) ).
cnf(c_30212,plain,
~ sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_12242,c_30210]) ).
cnf(c_30223,plain,
sk_c6 = identity,
inference(demodulation,[status(thm)],[c_29664,c_30210]) ).
cnf(c_30230,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm)],[c_28018,c_30210]) ).
cnf(c_30243,plain,
( sk_c8 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_2160,c_30210]) ).
cnf(c_30265,plain,
sk_c2 = identity,
inference(light_normalisation,[status(thm)],[c_30230,c_1689]) ).
cnf(c_30288,plain,
sk_c8 != identity,
inference(global_subsumption_just,[status(thm)],[c_5019,c_387,c_924,c_930,c_931,c_934,c_1018,c_1019,c_1058,c_1235,c_1253,c_1265,c_1280,c_1281,c_1400,c_2023,c_2179,c_2859,c_3254,c_3798,c_3799,c_5630,c_5679,c_7627,c_10766,c_11624,c_11638,c_11642,c_12265,c_12994,c_12997,c_15235,c_15694,c_24375,c_25096,c_25102,c_28592,c_29724,c_30212,c_30211,c_30265,c_30210,c_30243]) ).
cnf(c_30324,plain,
( multiply(sk_c8,identity) = multiply(identity,identity)
| multiply(identity,sk_c8) = identity ),
inference(light_normalisation,[status(thm)],[c_1941,c_30210,c_30223]) ).
cnf(c_30325,plain,
sk_c8 = identity,
inference(demodulation,[status(thm)],[c_30324,c_80,c_1681]) ).
cnf(c_30326,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_30325,c_30288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP286-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 22:20:26 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.20/0.45 Running first-order theorem proving
% 0.20/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.95/1.67 % SZS status Started for theBenchmark.p
% 7.95/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 7.95/1.67
% 7.95/1.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.95/1.67
% 7.95/1.67 ------ iProver source info
% 7.95/1.67
% 7.95/1.67 git: date: 2023-05-31 18:12:56 +0000
% 7.95/1.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.95/1.67 git: non_committed_changes: false
% 7.95/1.67 git: last_make_outside_of_git: false
% 7.95/1.67
% 7.95/1.67 ------ Parsing...successful
% 7.95/1.67
% 7.95/1.67
% 7.95/1.67
% 7.95/1.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.95/1.67
% 7.95/1.67 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.95/1.67
% 7.95/1.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.95/1.67 ------ Proving...
% 7.95/1.67 ------ Problem Properties
% 7.95/1.67
% 7.95/1.67
% 7.95/1.67 clauses 38
% 7.95/1.67 conjectures 35
% 7.95/1.67 EPR 0
% 7.95/1.67 Horn 7
% 7.95/1.67 unary 3
% 7.95/1.67 binary 30
% 7.95/1.67 lits 81
% 7.95/1.67 lits eq 73
% 7.95/1.67 fd_pure 0
% 7.95/1.67 fd_pseudo 0
% 7.95/1.67 fd_cond 0
% 7.95/1.67 fd_pseudo_cond 0
% 7.95/1.67 AC symbols 0
% 7.95/1.67
% 7.95/1.67 ------ Schedule dynamic 5 is on
% 7.95/1.67
% 7.95/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.95/1.67
% 7.95/1.67
% 7.95/1.67 ------
% 7.95/1.67 Current options:
% 7.95/1.67 ------
% 7.95/1.67
% 7.95/1.67
% 7.95/1.67
% 7.95/1.67
% 7.95/1.67 ------ Proving...
% 7.95/1.67
% 7.95/1.67
% 7.95/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 7.95/1.67
% 7.95/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.95/1.68
% 7.95/1.68
%------------------------------------------------------------------------------