TSTP Solution File: GRP316-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP316-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 00:59:17 EDT 2023
% Result : Unsatisfiable 7.90s 1.67s
% Output : CNFRefutation 7.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 37
% Syntax : Number of clauses : 314 ( 49 unt; 157 nHn; 275 RR)
% Number of literals : 746 ( 666 equ; 267 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 : 109 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c8,sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c3,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c8,sk_c4) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c4
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c8,sk_c4) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c4
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c8,sk_c4) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c4
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c8,sk_c4) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c4
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/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_c8) != X3
| multiply(X4,sk_c6) != sk_c8
| multiply(sk_c8,X3) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| multiply(sk_c6,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| inverse(X1) != sk_c7
| inverse(X2) != sk_c8
| inverse(X4) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_81,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_82,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/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_c6) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6
| multiply(sk_c6,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6 ),
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_c6) != sk_c8
| inverse(X0) != sk_c6
| ~ 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_c7,sk_c8) != sk_c6
| multiply(sk_c6,sk_c8) != sk_c7
| 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_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_724,plain,
( inverse(sk_c2) != sk_c7
| ~ sP0_iProver_split
| multiply(sk_c8,sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_68,c_376]) ).
cnf(c_727,plain,
( inverse(sk_c2) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_70,c_376]) ).
cnf(c_729,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c6 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_376]) ).
cnf(c_765,plain,
( inverse(sk_c1) != sk_c8
| ~ sP1_iProver_split
| multiply(sk_c8,sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_56,c_377]) ).
cnf(c_768,plain,
( inverse(sk_c1) != sk_c8
| ~ sP1_iProver_split
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_58,c_377]) ).
cnf(c_769,plain,
( inverse(identity) != sk_c8
| sk_c7 != sk_c8
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_377]) ).
cnf(c_770,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_377]) ).
cnf(c_836,plain,
( inverse(sk_c5) != sk_c6
| ~ sP2_iProver_split
| multiply(sk_c2,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_71,c_378]) ).
cnf(c_838,plain,
( inverse(sk_c5) != sk_c6
| ~ sP2_iProver_split
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_53,c_378]) ).
cnf(c_839,plain,
( inverse(sk_c5) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_378]) ).
cnf(c_840,plain,
( inverse(sk_c5) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_65,c_378]) ).
cnf(c_841,plain,
( inverse(identity) != sk_c6
| sk_c8 != sk_c6
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_378]) ).
cnf(c_878,plain,
( multiply(sk_c8,sk_c4) != sk_c7
| inverse(sk_c3) != sk_c8
| ~ sP3_iProver_split
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_51,c_379]) ).
cnf(c_879,plain,
( multiply(sk_c8,sk_c4) != sk_c7
| inverse(sk_c3) != sk_c8
| ~ sP3_iProver_split
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_75,c_379]) ).
cnf(c_880,plain,
( multiply(sk_c8,sk_c4) != sk_c7
| inverse(sk_c3) != sk_c8
| ~ sP3_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_63,c_379]) ).
cnf(c_953,plain,
( multiply(sk_c7,sk_c8) != X0
| sk_c6 != X0
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_954,plain,
( multiply(sk_c7,sk_c8) != sk_c8
| sk_c6 != sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(instantiation,[status(thm)],[c_953]) ).
cnf(c_956,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_957,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_956]) ).
cnf(c_958,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_964,plain,
( multiply(identity,sk_c6) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_957]) ).
cnf(c_965,plain,
multiply(identity,sk_c6) = sk_c6,
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_967,plain,
( X0 != X1
| sk_c6 != X1
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_974,plain,
( X0 != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_956]) ).
cnf(c_975,plain,
( sk_c8 != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| sk_c6 = sk_c8 ),
inference(instantiation,[status(thm)],[c_974]) ).
cnf(c_990,plain,
( multiply(sk_c6,sk_c8) != sk_c7
| inverse(sk_c3) = sk_c8
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_52,c_380]) ).
cnf(c_1015,plain,
( X0 != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_967]) ).
cnf(c_1016,plain,
( sk_c8 != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| sk_c8 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1015]) ).
cnf(c_1039,plain,
( multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c8,X0)
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_82]) ).
cnf(c_1040,plain,
( multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c8,X0)
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_65,c_82]) ).
cnf(c_1042,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| multiply(sk_c6,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_55,c_82]) ).
cnf(c_1044,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_58,c_82]) ).
cnf(c_1045,plain,
( multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| multiply(sk_c8,sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_68,c_82]) ).
cnf(c_1046,plain,
( multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| multiply(sk_c6,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_67,c_82]) ).
cnf(c_1050,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_1173,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_957]) ).
cnf(c_1195,plain,
( multiply(identity,multiply(identity,sk_c6)) != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| sk_c6 = multiply(identity,multiply(identity,sk_c6)) ),
inference(instantiation,[status(thm)],[c_974]) ).
cnf(c_1196,plain,
multiply(identity,multiply(identity,sk_c6)) = multiply(identity,sk_c6),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1198,plain,
( multiply(identity,sk_c6) != X0
| X1 != X0
| X1 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1215,plain,
( X0 != multiply(sk_c7,sk_c8)
| sk_c6 != multiply(sk_c7,sk_c8)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_967]) ).
cnf(c_1218,plain,
( sk_c8 != multiply(sk_c7,sk_c8)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c8 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1215]) ).
cnf(c_1236,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1050,c_80]) ).
cnf(c_1252,plain,
( multiply(inverse(sk_c3),sk_c4) = sk_c8
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_75,c_1236]) ).
cnf(c_1253,plain,
( multiply(inverse(sk_c3),sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_63,c_1236]) ).
cnf(c_1257,plain,
( multiply(inverse(sk_c5),sk_c8) = sk_c6
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_1236]) ).
cnf(c_1258,plain,
( multiply(inverse(sk_c5),sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_65,c_1236]) ).
cnf(c_1267,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_1236]) ).
cnf(c_1268,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_1236]) ).
cnf(c_1274,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1236,c_1236]) ).
cnf(c_1348,plain,
( inverse(sk_c5) != X0
| X1 != X0
| inverse(sk_c5) = X1 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1359,plain,
( multiply(sk_c7,sk_c8) != multiply(identity,multiply(identity,sk_c6))
| sk_c6 != multiply(identity,multiply(identity,sk_c6))
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(instantiation,[status(thm)],[c_953]) ).
cnf(c_1369,plain,
( multiply(identity,sk_c6) != X0
| X1 != X0
| multiply(identity,sk_c6) = X1 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1374,plain,
( multiply(identity,sk_c6) != sk_c6
| X0 != sk_c6
| X0 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1198]) ).
cnf(c_1375,plain,
( multiply(identity,sk_c6) != sk_c6
| sk_c8 != sk_c6
| sk_c8 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1374]) ).
cnf(c_1387,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1502,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1268,c_1274]) ).
cnf(c_1510,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1502,c_1267]) ).
cnf(c_1637,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1274,c_81]) ).
cnf(c_1642,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1274,c_1236]) ).
cnf(c_1643,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1274,c_1502]) ).
cnf(c_1644,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1643,c_1502]) ).
cnf(c_1667,plain,
inverse(inverse(sk_c8)) = sk_c8,
inference(instantiation,[status(thm)],[c_1644]) ).
cnf(c_1683,plain,
( multiply(sk_c7,sk_c8) != X0
| X1 != X0
| X1 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1684,plain,
( multiply(sk_c7,sk_c8) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_1683]) ).
cnf(c_1701,plain,
( inverse(sk_c8) = sk_c3
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_64,c_1644]) ).
cnf(c_1703,plain,
( inverse(sk_c6) = sk_c5
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1644]) ).
cnf(c_1990,plain,
( multiply(sk_c3,sk_c8) = identity
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_76,c_1637]) ).
cnf(c_1992,plain,
( multiply(sk_c5,sk_c6) = identity
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_78,c_1637]) ).
cnf(c_1993,plain,
( multiply(sk_c5,sk_c6) = identity
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1637]) ).
cnf(c_1994,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_1703,c_1637]) ).
cnf(c_1995,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c8) = sk_c3 ),
inference(superposition,[status(thm)],[c_1701,c_1637]) ).
cnf(c_2027,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_2037,plain,
( multiply(identity,sk_c6) != sk_c6
| X0 != sk_c6
| multiply(identity,sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_1369]) ).
cnf(c_2091,plain,
( multiply(sk_c5,multiply(sk_c6,X0)) = X0
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_78,c_1642]) ).
cnf(c_2092,plain,
( multiply(sk_c5,multiply(sk_c6,X0)) = X0
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1642]) ).
cnf(c_2102,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != sk_c8
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_1642,c_379]) ).
cnf(c_2123,plain,
( sk_c7 != sk_c8
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2102,c_1644]) ).
cnf(c_2223,plain,
( inverse(sk_c2) = sk_c7
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_1990,c_75]) ).
cnf(c_2265,plain,
( multiply(sk_c2,sk_c7) = identity
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_2223,c_1637]) ).
cnf(c_2388,plain,
( inverse(sk_c2) = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1992,c_77]) ).
cnf(c_2410,plain,
( inverse(sk_c5) != sk_c6
| X0 != sk_c6
| inverse(sk_c5) = X0 ),
inference(instantiation,[status(thm)],[c_1348]) ).
cnf(c_2420,plain,
( multiply(sk_c2,sk_c7) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2388,c_1637]) ).
cnf(c_2449,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1993,c_65]) ).
cnf(c_2476,plain,
( multiply(sk_c1,sk_c8) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2449,c_1637]) ).
cnf(c_2518,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_2519,plain,
( sk_c7 != sk_c8
| sk_c8 != sk_c8
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_2518]) ).
cnf(c_2837,plain,
( multiply(sk_c8,sk_c4) = sk_c8
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_76,c_1252]) ).
cnf(c_2863,plain,
( inverse(sk_c2) = sk_c7
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_2837,c_74]) ).
cnf(c_2893,plain,
( multiply(sk_c2,sk_c7) = identity
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_2863,c_1637]) ).
cnf(c_2923,plain,
( multiply(sk_c8,sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_64,c_1253]) ).
cnf(c_2941,plain,
( inverse(sk_c1) = sk_c8
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_2923,c_62]) ).
cnf(c_2966,plain,
( multiply(sk_c1,sk_c8) = identity
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_2941,c_1637]) ).
cnf(c_3261,plain,
( multiply(sk_c6,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_78,c_1257]) ).
cnf(c_3295,plain,
( multiply(sk_c7,sk_c8) != X0
| X1 != X0
| multiply(sk_c7,sk_c8) = X1 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_3297,plain,
( sk_c7 != X0
| sk_c8 != X1
| multiply(sk_c7,sk_c8) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_383]) ).
cnf(c_3299,plain,
( sk_c7 != sk_c8
| sk_c8 != sk_c8
| multiply(sk_c7,sk_c8) = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_3297]) ).
cnf(c_3307,plain,
( inverse(sk_c2) = sk_c7
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3261,c_73]) ).
cnf(c_3357,plain,
( multiply(sk_c2,sk_c7) = identity
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3307,c_1637]) ).
cnf(c_3400,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_3501,plain,
( multiply(sk_c6,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1258]) ).
cnf(c_3530,plain,
( inverse(sk_c1) = sk_c8
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3501,c_61]) ).
cnf(c_4177,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_2027]) ).
cnf(c_4178,plain,
( sk_c8 != identity
| identity != identity
| identity = sk_c8 ),
inference(instantiation,[status(thm)],[c_4177]) ).
cnf(c_4405,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3400,c_80]) ).
cnf(c_4436,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_4405]) ).
cnf(c_4437,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_4405]) ).
cnf(c_4443,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4405,c_4405]) ).
cnf(c_4768,plain,
( sk_c7 != sk_c8
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_769,c_1510]) ).
cnf(c_4789,plain,
( multiply(sk_c8,sk_c4) = sk_c7
| sk_c6 = identity
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_2265,c_68]) ).
cnf(c_4790,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c6 = identity
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_2265,c_67]) ).
cnf(c_4791,plain,
( inverse(sk_c5) = sk_c6
| sk_c6 = identity
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_2265,c_72]) ).
cnf(c_4792,plain,
( inverse(sk_c3) = sk_c8
| sk_c6 = identity
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_2265,c_70]) ).
cnf(c_4886,plain,
( multiply(sk_c8,sk_c4) = sk_c7
| sk_c8 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2420,c_68]) ).
cnf(c_4887,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c8 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2420,c_67]) ).
cnf(c_4888,plain,
( inverse(sk_c5) = sk_c6
| sk_c8 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2420,c_72]) ).
cnf(c_4889,plain,
( inverse(sk_c3) = sk_c8
| sk_c8 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2420,c_70]) ).
cnf(c_4921,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c7 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2476,c_55]) ).
cnf(c_4963,plain,
( ~ sP2_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_840,c_66,c_840]) ).
cnf(c_4969,plain,
( sk_c8 != sk_c6
| sk_c6 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_841,c_1510]) ).
cnf(c_5428,plain,
( multiply(sk_c8,sk_c4) = sk_c7
| sk_c7 = sk_c8
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2893,c_68]) ).
cnf(c_5429,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c7 = sk_c8
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2893,c_67]) ).
cnf(c_5430,plain,
( inverse(sk_c5) = sk_c6
| sk_c7 = sk_c8
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2893,c_72]) ).
cnf(c_5431,plain,
( inverse(sk_c3) = sk_c8
| sk_c7 = sk_c8
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2893,c_70]) ).
cnf(c_5473,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c7 = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2966,c_55]) ).
cnf(c_5722,plain,
( inverse(sk_c5) != sk_c6
| sk_c7 != sk_c6
| inverse(sk_c5) = sk_c7 ),
inference(instantiation,[status(thm)],[c_2410]) ).
cnf(c_5723,plain,
( multiply(identity,sk_c6) != sk_c6
| sk_c7 != sk_c6
| multiply(identity,sk_c6) = sk_c7 ),
inference(instantiation,[status(thm)],[c_2037]) ).
cnf(c_5899,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_4437,c_4443]) ).
cnf(c_5907,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_5899,c_4436]) ).
cnf(c_7056,plain,
( multiply(identity,sk_c6) != sk_c7
| X0 != sk_c7
| multiply(identity,sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_1369]) ).
cnf(c_7057,plain,
( multiply(identity,sk_c6) != sk_c7
| X0 != sk_c7
| X0 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1198]) ).
cnf(c_7059,plain,
( multiply(identity,sk_c6) != sk_c7
| sk_c8 != sk_c7
| sk_c8 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_7057]) ).
cnf(c_7060,plain,
( multiply(identity,sk_c6) != sk_c7
| sk_c8 != sk_c7
| multiply(identity,sk_c6) = sk_c8 ),
inference(instantiation,[status(thm)],[c_7056]) ).
cnf(c_7627,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c7 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_3357,c_67]) ).
cnf(c_7628,plain,
( inverse(sk_c5) = sk_c6
| sk_c7 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_3357,c_72]) ).
cnf(c_8145,plain,
( multiply(identity,sk_c6) != X0
| identity != X0
| identity = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_2027]) ).
cnf(c_8148,plain,
( sk_c6 != multiply(identity,sk_c6)
| identity != multiply(identity,sk_c6)
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_974]) ).
cnf(c_8149,plain,
( multiply(identity,sk_c6) != sk_c8
| identity != sk_c8
| identity = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_8145]) ).
cnf(c_8489,plain,
( multiply(sk_c5,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_73,c_2091]) ).
cnf(c_8564,plain,
( inverse(sk_c5) != sk_c7
| sk_c8 != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_8489,c_376]) ).
cnf(c_8587,plain,
( multiply(sk_c5,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_61,c_2092]) ).
cnf(c_8618,plain,
( inverse(sk_c5) != sk_c7
| sk_c8 != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_8587,c_376]) ).
cnf(c_8765,plain,
( sk_c6 = identity
| inverse(sk_c5) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_4791,c_387,c_958,c_964,c_965,c_1387,c_2519,c_4178,c_4888,c_5430,c_5723,c_7060,c_7628,c_8149,c_8148]) ).
cnf(c_8766,plain,
( inverse(sk_c5) = sk_c6
| sk_c6 = identity ),
inference(renaming,[status(thm)],[c_8765]) ).
cnf(c_8777,plain,
( multiply(sk_c5,sk_c6) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_8766,c_1637]) ).
cnf(c_8873,plain,
( multiply(sk_c2,sk_c7) = sk_c6
| sk_c8 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_8777,c_71]) ).
cnf(c_8880,plain,
( inverse(sk_c5) != sk_c6
| sk_c8 != identity
| ~ sP2_iProver_split
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_8777,c_378]) ).
cnf(c_8918,plain,
( multiply(sk_c7,sk_c8) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| multiply(sk_c7,sk_c8) = X2 ),
inference(instantiation,[status(thm)],[c_3295]) ).
cnf(c_8920,plain,
( multiply(sk_c7,sk_c8) != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c8,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c8 ),
inference(instantiation,[status(thm)],[c_8918]) ).
cnf(c_8932,plain,
( sk_c7 != identity
| sk_c8 != multiply(identity,sk_c6)
| multiply(sk_c7,sk_c8) = multiply(identity,multiply(identity,sk_c6)) ),
inference(instantiation,[status(thm)],[c_3297]) ).
cnf(c_8948,plain,
( sk_c6 = identity
| inverse(sk_c3) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_4792,c_76,c_64,c_387,c_727,c_768,c_958,c_964,c_965,c_990,c_1387,c_2123,c_2519,c_4178,c_4889,c_4887,c_5431,c_5429,c_5723,c_7060,c_7627,c_8149,c_8148,c_8766,c_8880]) ).
cnf(c_8949,plain,
( inverse(sk_c3) = sk_c8
| sk_c6 = identity ),
inference(renaming,[status(thm)],[c_8948]) ).
cnf(c_8960,plain,
( multiply(sk_c3,sk_c8) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_8949,c_1637]) ).
cnf(c_9605,plain,
( multiply(X0,X1) != X2
| X3 != X2
| X3 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_9606,plain,
( multiply(sk_c8,sk_c8) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_9605]) ).
cnf(c_9785,plain,
( multiply(sk_c2,sk_c7) = sk_c6
| sk_c6 = identity
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_8960,c_69]) ).
cnf(c_9865,plain,
( inverse(sk_c6) = sk_c5
| inverse(sk_c5) = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1994,c_60]) ).
cnf(c_9990,plain,
( inverse(sk_c8) = sk_c3
| inverse(sk_c5) = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1995,c_60]) ).
cnf(c_9991,plain,
( inverse(sk_c8) = sk_c3
| inverse(sk_c3) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1995,c_58]) ).
cnf(c_11292,plain,
( sk_c7 != sk_c7
| sk_c6 != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_729,c_1644]) ).
cnf(c_11293,plain,
( sk_c6 != identity
| ~ sP0_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_11292]) ).
cnf(c_11365,plain,
( sk_c7 != identity
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_770,c_770,c_1667]) ).
cnf(c_11371,plain,
( ~ sP2_iProver_split
| multiply(sk_c2,sk_c7) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_836,c_72,c_836]) ).
cnf(c_11383,plain,
( ~ sP2_iProver_split
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_838,c_54,c_838]) ).
cnf(c_13002,plain,
( sk_c6 = identity
| multiply(sk_c8,sk_c4) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_4789,c_74,c_62,c_50,c_387,c_380,c_724,c_765,c_958,c_964,c_965,c_1387,c_2123,c_2519,c_4178,c_4887,c_4886,c_5429,c_5428,c_5723,c_7060,c_7627,c_8149,c_8148,c_8766,c_8880]) ).
cnf(c_13003,plain,
( multiply(sk_c8,sk_c4) = sk_c7
| sk_c6 = identity ),
inference(renaming,[status(thm)],[c_13002]) ).
cnf(c_13072,plain,
( sk_c6 = identity
| multiply(sk_c6,sk_c8) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_4790,c_387,c_958,c_964,c_965,c_1387,c_2519,c_4178,c_4887,c_5429,c_5723,c_7060,c_7627,c_8149,c_8148]) ).
cnf(c_13073,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c6 = identity ),
inference(renaming,[status(thm)],[c_13072]) ).
cnf(c_13667,plain,
( inverse(sk_c6) != sk_c8
| ~ sP1_iProver_split
| sk_c7 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_4921,c_377]) ).
cnf(c_14116,plain,
( inverse(sk_c6) != sk_c8
| ~ sP1_iProver_split
| sk_c7 = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_5473,c_377]) ).
cnf(c_15719,plain,
( X0 != identity
| sk_c6 != identity
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_967]) ).
cnf(c_15722,plain,
( sk_c8 != identity
| sk_c6 != identity
| sk_c8 = sk_c6 ),
inference(instantiation,[status(thm)],[c_15719]) ).
cnf(c_16424,plain,
( sk_c8 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_8873,c_2420]) ).
cnf(c_16474,plain,
( multiply(sk_c8,X0) = X0
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_1039,c_2091]) ).
cnf(c_16536,plain,
( multiply(sk_c8,sk_c8) = sk_c8
| inverse(sk_c2) = sk_c7 ),
inference(instantiation,[status(thm)],[c_16474]) ).
cnf(c_16760,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(identity,sk_c8) = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_16424,c_49]) ).
cnf(c_16973,plain,
( sk_c6 = identity
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_9785,c_2265]) ).
cnf(c_16999,plain,
( inverse(sk_c6) = sk_c5
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_9865,c_1644]) ).
cnf(c_17023,plain,
( multiply(sk_c6,sk_c5) = identity
| inverse(sk_c8) = sk_c3
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_9990,c_81]) ).
cnf(c_17063,plain,
( inverse(sk_c8) = sk_c3
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_9991,c_1644]) ).
cnf(c_17142,plain,
( multiply(sk_c8,X0) = X0
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_1040,c_2092]) ).
cnf(c_17181,plain,
( multiply(sk_c8,sk_c8) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(instantiation,[status(thm)],[c_17142]) ).
cnf(c_17391,plain,
( multiply(sk_c8,identity) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_16973,c_13003]) ).
cnf(c_17496,plain,
( multiply(sk_c8,sk_c3) = identity
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_76,c_81]) ).
cnf(c_17497,plain,
( multiply(sk_c8,sk_c3) = identity
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_64,c_81]) ).
cnf(c_17715,plain,
( inverse(sk_c7) != sk_c8
| sk_c7 != sk_c6
| ~ sP1_iProver_split
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_54,c_377]) ).
cnf(c_17717,plain,
( inverse(sk_c6) != sk_c8
| ~ sP1_iProver_split
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_49,c_377]) ).
cnf(c_17729,plain,
( inverse(identity) != sk_c8
| sk_c7 != sk_c8
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_377]) ).
cnf(c_17731,plain,
( sk_c7 != sk_c8
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_17729,c_5907]) ).
cnf(c_17934,plain,
inverse(sk_c2) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_17496,c_78,c_76,c_74,c_73,c_387,c_380,c_839,c_879,c_954,c_958,c_964,c_965,c_975,c_1016,c_2388,c_2519,c_2863,c_3299,c_3307,c_5723,c_5722,c_7059,c_8564,c_8920,c_9606,c_16536,c_17731]) ).
cnf(c_18136,plain,
inverse(sk_c1) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_17497,c_66,c_64,c_62,c_61,c_387,c_380,c_880,c_954,c_958,c_964,c_965,c_975,c_1016,c_2449,c_2519,c_2941,c_3299,c_3530,c_4963,c_5723,c_5722,c_7059,c_8618,c_8920,c_9606,c_17181,c_17731]) ).
cnf(c_18817,plain,
( ~ sP1_iProver_split
| inverse(sk_c6) != sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_17717,c_770,c_1667,c_13667,c_14116,c_17731]) ).
cnf(c_18818,plain,
( inverse(sk_c6) != sk_c8
| ~ sP1_iProver_split ),
inference(renaming,[status(thm)],[c_18817]) ).
cnf(c_19877,plain,
( multiply(sk_c5,sk_c6) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_16999,c_81]) ).
cnf(c_20012,plain,
( inverse(sk_c3) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_17063,c_1644]) ).
cnf(c_21481,plain,
( inverse(sk_c2) = sk_c7
| sk_c7 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_19877,c_77]) ).
cnf(c_21482,plain,
( inverse(sk_c1) = sk_c8
| sk_c7 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_19877,c_65]) ).
cnf(c_21596,plain,
inverse(sk_c2) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_21481,c_17934]) ).
cnf(c_21655,plain,
multiply(sk_c2,multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_21596,c_1642]) ).
cnf(c_21656,plain,
multiply(sk_c2,sk_c7) = identity,
inference(superposition,[status(thm)],[c_21596,c_1637]) ).
cnf(c_21657,plain,
inverse(sk_c7) = sk_c2,
inference(superposition,[status(thm)],[c_21596,c_1644]) ).
cnf(c_21658,plain,
multiply(sk_c7,multiply(sk_c2,X0)) = X0,
inference(superposition,[status(thm)],[c_21596,c_1236]) ).
cnf(c_21675,plain,
( ~ sP2_iProver_split
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_11371,c_21656]) ).
cnf(c_21680,plain,
( multiply(sk_c3,sk_c8) = sk_c4
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_69,c_21656]) ).
cnf(c_21782,plain,
( sk_c8 != sk_c6
| ~ sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_4969,c_21675]) ).
cnf(c_21822,plain,
( multiply(sk_c8,sk_c4) != sk_c7
| inverse(sk_c3) != sk_c8
| ~ sP3_iProver_split
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_21680,c_379]) ).
cnf(c_21838,plain,
inverse(sk_c1) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_21482,c_18136]) ).
cnf(c_21893,plain,
multiply(sk_c1,multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_21838,c_1642]) ).
cnf(c_21894,plain,
multiply(sk_c1,sk_c8) = identity,
inference(superposition,[status(thm)],[c_21838,c_1637]) ).
cnf(c_21899,plain,
( multiply(sk_c7,X0) = X0
| inverse(sk_c3) = sk_c8 ),
inference(demodulation,[status(thm)],[c_1044,c_21893]) ).
cnf(c_21914,plain,
( multiply(sk_c5,sk_c6) = sk_c8
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_59,c_21894]) ).
cnf(c_21915,plain,
( multiply(sk_c3,sk_c8) = sk_c4
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_57,c_21894]) ).
cnf(c_21916,plain,
( multiply(sk_c8,sk_c4) = sk_c7
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_56,c_21894]) ).
cnf(c_21917,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_55,c_21894]) ).
cnf(c_21965,plain,
( multiply(sk_c7,sk_c8) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(instantiation,[status(thm)],[c_21899]) ).
cnf(c_21976,plain,
( sk_c7 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_21914,c_19877]) ).
cnf(c_21995,plain,
( multiply(sk_c8,sk_c4) != sk_c7
| inverse(sk_c3) != sk_c8
| ~ sP3_iProver_split
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_21915,c_379]) ).
cnf(c_22050,plain,
( inverse(sk_c6) != sk_c8
| ~ sP1_iProver_split
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_21917,c_377]) ).
cnf(c_22070,plain,
( ~ sP1_iProver_split
| inverse(sk_c6) != sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_22050,c_18818]) ).
cnf(c_22071,plain,
( inverse(sk_c6) != sk_c8
| ~ sP1_iProver_split ),
inference(renaming,[status(thm)],[c_22070]) ).
cnf(c_22083,plain,
( multiply(sk_c7,X0) = X0
| multiply(sk_c6,sk_c8) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_1042,c_21893]) ).
cnf(c_22109,plain,
( multiply(sk_c8,sk_c4) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c7
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_22083,c_50]) ).
cnf(c_22111,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_22083,c_52]) ).
cnf(c_22366,plain,
( multiply(sk_c6,X0) = X0
| multiply(sk_c8,sk_c4) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_1045,c_21655]) ).
cnf(c_22844,plain,
( multiply(sk_c6,X0) = X0
| multiply(sk_c6,sk_c8) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_1046,c_21655]) ).
cnf(c_22899,plain,
( sk_c7 != sk_c8
| multiply(sk_c6,sk_c8) = sk_c7 ),
inference(equality_factoring,[status(thm)],[c_22844]) ).
cnf(c_23023,plain,
( inverse(identity) = sk_c2
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_21976,c_21657]) ).
cnf(c_23029,plain,
( ~ sP1_iProver_split
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_21976,c_11365]) ).
cnf(c_23043,plain,
( sk_c8 = identity
| sk_c2 = identity ),
inference(light_normalisation,[status(thm)],[c_23023,c_1510]) ).
cnf(c_23113,plain,
( sk_c7 != sk_c8
| ~ sP1_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_4768,c_23029]) ).
cnf(c_23179,plain,
( multiply(sk_c7,multiply(identity,X0)) = X0
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_23043,c_21658]) ).
cnf(c_23193,plain,
( multiply(sk_c7,X0) = X0
| sk_c8 = identity ),
inference(light_normalisation,[status(thm)],[c_23179,c_80]) ).
cnf(c_23205,plain,
( multiply(sk_c7,sk_c8) = sk_c8
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_23193]) ).
cnf(c_23251,plain,
( inverse(sk_c3) = sk_c8
| sk_c8 = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_22111,c_52,c_387,c_958,c_1173,c_1218,c_1684,c_21965]) ).
cnf(c_23447,plain,
( sk_c7 = sk_c8
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_17391,c_1502]) ).
cnf(c_23468,plain,
( inverse(identity) != sk_c8
| ~ sP1_iProver_split
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_23447,c_22071]) ).
cnf(c_23484,plain,
( ~ sP0_iProver_split
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_23447,c_11293]) ).
cnf(c_23493,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(identity,sk_c8) = sk_c7
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_23447,c_49]) ).
cnf(c_23496,plain,
( sk_c8 != identity
| ~ sP1_iProver_split
| sk_c7 = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_23468,c_1510]) ).
cnf(c_25475,plain,
~ sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_17715,c_23029,c_23113,c_23496]) ).
cnf(c_26249,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = sk_c8
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_16760,c_80]) ).
cnf(c_26264,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c7 = sk_c8
| sk_c8 = sk_c6
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_26249,c_22083]) ).
cnf(c_26304,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c8 = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_22109,c_13073,c_15722,c_22899,c_26264]) ).
cnf(c_26321,plain,
( multiply(sk_c8,sk_c4) = sk_c7
| sk_c7 = sk_c8
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_26304,c_22366]) ).
cnf(c_26499,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = sk_c8 ),
inference(demodulation,[status(thm)],[c_23493,c_80]) ).
cnf(c_26506,plain,
( multiply(sk_c6,sk_c8) != sk_c7
| sk_c7 = sk_c8
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_26499,c_380]) ).
cnf(c_26539,plain,
( sk_c7 = sk_c8
| multiply(sk_c6,sk_c8) != sk_c7
| sP3_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_26506,c_387,c_958,c_1173,c_1218,c_1684,c_11383,c_15722,c_21675,c_21782,c_23205,c_23484,c_25475,c_26506]) ).
cnf(c_26540,plain,
( multiply(sk_c6,sk_c8) != sk_c7
| sk_c7 = sk_c8
| sP3_iProver_split ),
inference(renaming,[status(thm)],[c_26539]) ).
cnf(c_26547,plain,
( sk_c7 = sk_c8
| sk_c8 = sk_c6
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_26304,c_26540]) ).
cnf(c_26970,plain,
( sk_c8 = sk_c6
| sk_c7 = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_26547,c_387,c_878,c_958,c_1173,c_1218,c_1684,c_15722,c_21822,c_23205,c_23251,c_26321,c_26547]) ).
cnf(c_26971,plain,
( sk_c7 = sk_c8
| sk_c8 = sk_c6 ),
inference(renaming,[status(thm)],[c_26970]) ).
cnf(c_27019,plain,
( ~ sP2_iProver_split
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_26971,c_21782]) ).
cnf(c_27025,plain,
( sk_c7 = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_26971,c_16424]) ).
cnf(c_27328,plain,
~ sP2_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_27019,c_387,c_958,c_1173,c_1218,c_1684,c_11383,c_15722,c_21675,c_21782,c_23205]) ).
cnf(c_27330,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| multiply(sk_c6,sk_c8) != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_380,c_27328]) ).
cnf(c_27350,plain,
sk_c8 = identity,
inference(superposition,[status(thm)],[c_27025,c_21976]) ).
cnf(c_27381,plain,
( multiply(sk_c6,identity) != sk_c7
| sk_c7 = identity
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_26540,c_27350]) ).
cnf(c_27401,plain,
( ~ sP0_iProver_split
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_23484,c_27350]) ).
cnf(c_27434,plain,
( multiply(sk_c6,identity) = sk_c7
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_21917,c_27350]) ).
cnf(c_27467,plain,
( sk_c7 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_2123,c_27350]) ).
cnf(c_27474,plain,
( multiply(sk_c7,identity) = sk_c6
| multiply(sk_c6,identity) = sk_c7 ),
inference(demodulation,[status(thm)],[c_49,c_27350]) ).
cnf(c_27785,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm)],[c_27474,c_1502]) ).
cnf(c_27801,plain,
( sk_c7 != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_11293,c_27785]) ).
cnf(c_27809,plain,
( multiply(X0,sk_c7) != sk_c7
| inverse(X0) != sk_c7
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_376,c_27785]) ).
cnf(c_27846,plain,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_27809,c_27401,c_27801]) ).
cnf(c_27851,plain,
sk_c7 = identity,
inference(global_subsumption_just,[status(thm)],[c_17023,c_20012,c_21916,c_21995,c_27434,c_27381]) ).
cnf(c_27853,plain,
sk_c6 = identity,
inference(demodulation,[status(thm)],[c_27785,c_27851]) ).
cnf(c_28070,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(global_subsumption_just,[status(thm)],[c_27330,c_380,c_958,c_964,c_965,c_1195,c_1196,c_1359,c_1375,c_8932,c_15722,c_25475,c_27328,c_27350,c_27467,c_27846,c_27851,c_27853]) ).
cnf(c_28072,plain,
multiply(identity,identity) != identity,
inference(light_normalisation,[status(thm)],[c_28070,c_27350,c_27851,c_27853]) ).
cnf(c_28073,plain,
identity != identity,
inference(demodulation,[status(thm)],[c_28072,c_80]) ).
cnf(c_28074,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_28073]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP316-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.17/0.35 % Computer : n008.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Tue Aug 29 01:19:47 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.90/1.67 % SZS status Started for theBenchmark.p
% 7.90/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 7.90/1.67
% 7.90/1.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.90/1.67
% 7.90/1.67 ------ iProver source info
% 7.90/1.67
% 7.90/1.67 git: date: 2023-05-31 18:12:56 +0000
% 7.90/1.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.90/1.67 git: non_committed_changes: false
% 7.90/1.67 git: last_make_outside_of_git: false
% 7.90/1.67
% 7.90/1.67 ------ Parsing...successful
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% 7.90/1.67
% 7.90/1.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
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% 7.90/1.67 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
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% 7.90/1.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.90/1.67 ------ Proving...
% 7.90/1.67 ------ Problem Properties
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% 7.90/1.67
% 7.90/1.67 clauses 38
% 7.90/1.67 conjectures 35
% 7.90/1.67 EPR 0
% 7.90/1.67 Horn 7
% 7.90/1.67 unary 3
% 7.90/1.67 binary 30
% 7.90/1.67 lits 81
% 7.90/1.67 lits eq 73
% 7.90/1.67 fd_pure 0
% 7.90/1.67 fd_pseudo 0
% 7.90/1.67 fd_cond 0
% 7.90/1.67 fd_pseudo_cond 0
% 7.90/1.67 AC symbols 0
% 7.90/1.67
% 7.90/1.67 ------ Schedule dynamic 5 is on
% 7.90/1.67
% 7.90/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
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% 7.90/1.67
% 7.90/1.67 ------
% 7.90/1.67 Current options:
% 7.90/1.67 ------
% 7.90/1.67
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% 7.90/1.67 ------ Proving...
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% 7.90/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 7.90/1.67
% 7.90/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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