TSTP Solution File: GRP368-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP368-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 00:59:34 EDT 2023
% Result : Unsatisfiable 14.40s 2.67s
% Output : CNFRefutation 14.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 35
% Syntax : Number of clauses : 396 ( 72 unt; 143 nHn; 348 RR)
% Number of literals : 949 ( 885 equ; 414 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 210 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c2
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c2
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c3,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c3,sk_c5) = sk_c7
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c3,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c3,sk_c5) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| multiply(sk_c3,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,sk_c7) != X1
| multiply(X2,sk_c5) != sk_c7
| multiply(X3,sk_c6) != sk_c7
| multiply(sk_c7,X1) != sk_c6
| multiply(sk_c5,sk_c7) != sk_c6
| multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| inverse(X2) != sk_c5
| inverse(X3) != sk_c7
| inverse(sk_c6) != sk_c5 ),
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_c7,multiply(X0,sk_c7)) != sk_c6
| multiply(X1,sk_c5) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(sk_c5,sk_c7) != sk_c6
| multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| inverse(X1) != sk_c5
| inverse(X2) != sk_c7
| inverse(sk_c6) != sk_c5 ),
inference(unflattening,[status(thm)],[c_79]) ).
cnf(c_85,plain,
multiply(inverse(sk_c7),sk_c7) = identity,
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_376,negated_conjecture,
( multiply(X0,sk_c5) != sk_c7
| inverse(X0) != sk_c5
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_83]) ).
cnf(c_377,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_83]) ).
cnf(c_378,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| 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_c5,sk_c7) != sk_c6
| multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c6) != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).
cnf(c_380,plain,
X0 = X0,
theory(equality) ).
cnf(c_381,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_382,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_383,plain,
( X0 != X1
| inverse(X0) = inverse(X1) ),
theory(equality) ).
cnf(c_386,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_380]) ).
cnf(c_387,plain,
( multiply(sk_c7,sk_c5) != sk_c7
| inverse(sk_c7) != sk_c5
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_602,plain,
( multiply(sk_c5,sk_c3) = identity
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_81]) ).
cnf(c_718,plain,
( inverse(sk_c7) != sk_c5
| sk_c7 != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c5 ),
inference(superposition,[status(thm)],[c_76,c_376]) ).
cnf(c_721,plain,
( inverse(sk_c3) != sk_c5
| ~ sP0_iProver_split
| multiply(sk_c7,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_71,c_376]) ).
cnf(c_722,plain,
( inverse(sk_c3) != sk_c5
| ~ sP0_iProver_split
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_69,c_376]) ).
cnf(c_724,plain,
( inverse(sk_c3) != sk_c5
| ~ sP0_iProver_split
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_70,c_376]) ).
cnf(c_725,plain,
( inverse(identity) != sk_c5
| sk_c5 != sk_c7
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_376]) ).
cnf(c_762,plain,
( inverse(sk_c4) != sk_c7
| ~ sP1_iProver_split
| multiply(sk_c7,sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_58,c_377]) ).
cnf(c_764,plain,
( inverse(sk_c4) != sk_c7
| ~ sP1_iProver_split
| inverse(sk_c3) = sk_c5 ),
inference(superposition,[status(thm)],[c_78,c_377]) ).
cnf(c_765,plain,
( inverse(sk_c4) != sk_c7
| ~ sP1_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_68,c_377]) ).
cnf(c_796,plain,
( multiply(sk_c7,sk_c5) != sk_c6
| inverse(sk_c6) != sk_c7
| ~ sP2_iProver_split
| multiply(sk_c7,sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_54,c_378]) ).
cnf(c_798,plain,
( multiply(sk_c7,sk_c5) != sk_c6
| inverse(sk_c6) != sk_c7
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_64,c_378]) ).
cnf(c_876,plain,
( multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c6) != sk_c5
| inverse(sk_c4) = sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_52,c_379]) ).
cnf(c_891,plain,
( multiply(sk_c5,sk_c7) != X0
| sk_c6 != X0
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_893,plain,
( ~ sP0_iProver_split
| inverse(sk_c6) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_724,c_75,c_724]) ).
cnf(c_911,plain,
( multiply(sk_c4,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_68,c_82]) ).
cnf(c_918,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c2,X0)
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_62,c_82]) ).
cnf(c_924,plain,
( multiply(sk_c3,multiply(sk_c5,X0)) = multiply(sk_c7,X0)
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_70,c_82]) ).
cnf(c_926,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_931,plain,
( multiply(sk_c5,multiply(sk_c3,X0)) = multiply(identity,X0)
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_602,c_82]) ).
cnf(c_936,plain,
( multiply(sk_c5,multiply(sk_c3,X0)) = X0
| inverse(sk_c4) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_931,c_80]) ).
cnf(c_1045,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1046,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_1045]) ).
cnf(c_1047,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_380]) ).
cnf(c_1052,plain,
( multiply(sk_c7,sk_c5) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(instantiation,[status(thm)],[c_1046]) ).
cnf(c_1053,plain,
( multiply(identity,sk_c6) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1046]) ).
cnf(c_1054,plain,
multiply(identity,sk_c6) = sk_c6,
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1056,plain,
( X0 != X1
| sk_c6 != X1
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1059,plain,
( multiply(sk_c5,sk_c7) != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(sk_c7,sk_c5)
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_891]) ).
cnf(c_1063,plain,
( X0 != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_1045]) ).
cnf(c_1071,plain,
( X0 != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1056]) ).
cnf(c_1073,plain,
( multiply(sk_c5,sk_c7) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(instantiation,[status(thm)],[c_1046]) ).
cnf(c_1076,plain,
( multiply(sk_c7,sk_c2) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c7,sk_c2) ),
inference(instantiation,[status(thm)],[c_1046]) ).
cnf(c_1081,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_1063]) ).
cnf(c_1082,plain,
multiply(identity,multiply(identity,sk_c6)) = multiply(identity,sk_c6),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1084,plain,
( multiply(identity,sk_c6) != X0
| X1 != X0
| X1 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1086,plain,
( multiply(X0,X1) != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| sk_c6 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1063]) ).
cnf(c_1087,plain,
( X0 != identity
| X1 != sk_c6
| multiply(X0,X1) = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1088,plain,
( multiply(sk_c7,sk_c7) != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_1086]) ).
cnf(c_1089,plain,
( sk_c7 != sk_c6
| sk_c7 != identity
| multiply(sk_c7,sk_c7) = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1087]) ).
cnf(c_1099,plain,
( X0 != multiply(sk_c7,sk_c2)
| sk_c6 != multiply(sk_c7,sk_c2)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1056]) ).
cnf(c_1102,plain,
( sk_c7 != multiply(sk_c7,sk_c2)
| sk_c6 != multiply(sk_c7,sk_c2)
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1099]) ).
cnf(c_1104,plain,
( X0 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(sk_c5,sk_c7)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1056]) ).
cnf(c_1105,plain,
( X0 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_1045]) ).
cnf(c_1108,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_926,c_80]) ).
cnf(c_1116,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c7
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_50,c_1108]) ).
cnf(c_1118,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c7
| inverse(sk_c3) = sk_c5 ),
inference(superposition,[status(thm)],[c_74,c_1108]) ).
cnf(c_1119,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_64,c_1108]) ).
cnf(c_1120,plain,
( multiply(inverse(sk_c7),sk_c6) = sk_c5
| inverse(sk_c3) = sk_c5 ),
inference(superposition,[status(thm)],[c_76,c_1108]) ).
cnf(c_1125,plain,
( multiply(inverse(sk_c4),sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_68,c_1108]) ).
cnf(c_1127,plain,
( multiply(inverse(sk_c7),sk_c6) = sk_c2
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_57,c_1108]) ).
cnf(c_1131,plain,
( multiply(inverse(sk_c1),sk_c2) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_59,c_1108]) ).
cnf(c_1132,plain,
( multiply(inverse(sk_c1),sk_c2) = sk_c7
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_62,c_1108]) ).
cnf(c_1133,plain,
( multiply(inverse(sk_c1),sk_c2) = sk_c7
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_60,c_1108]) ).
cnf(c_1135,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c5
| multiply(sk_c7,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_71,c_1108]) ).
cnf(c_1137,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c5
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_72,c_1108]) ).
cnf(c_1138,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c5
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_70,c_1108]) ).
cnf(c_1139,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_1108]) ).
cnf(c_1140,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_1108]) ).
cnf(c_1141,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_82,c_1108]) ).
cnf(c_1146,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1108,c_1108]) ).
cnf(c_1215,plain,
( X0 != multiply(identity,multiply(identity,sk_c6))
| sk_c6 != multiply(identity,multiply(identity,sk_c6))
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1056]) ).
cnf(c_1224,plain,
( multiply(identity,sk_c6) != X0
| X1 != X0
| multiply(identity,sk_c6) = X1 ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1225,plain,
( multiply(identity,sk_c6) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| X2 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1084]) ).
cnf(c_1242,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_380]) ).
cnf(c_1244,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1253,plain,
( multiply(sk_c7,sk_c2) != X0
| X1 != X0
| X1 = multiply(sk_c7,sk_c2) ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1254,plain,
( multiply(sk_c7,sk_c2) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c7,sk_c2) ),
inference(instantiation,[status(thm)],[c_1253]) ).
cnf(c_1265,plain,
( inverse(X0) != X1
| sk_c7 != X1
| inverse(X0) = sk_c7 ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1289,plain,
( multiply(sk_c7,sk_c5) != X0
| X1 != X0
| X1 = multiply(sk_c7,sk_c5) ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1296,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1140,c_1146]) ).
cnf(c_1304,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1296,c_1139]) ).
cnf(c_1322,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1146,c_81]) ).
cnf(c_1327,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1146,c_1108]) ).
cnf(c_1328,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1146,c_1296]) ).
cnf(c_1329,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1328,c_1296]) ).
cnf(c_1413,plain,
( multiply(identity,multiply(sk_c5,sk_c7)) != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 = multiply(identity,multiply(sk_c5,sk_c7)) ),
inference(instantiation,[status(thm)],[c_1105]) ).
cnf(c_1414,plain,
multiply(identity,multiply(sk_c5,sk_c7)) = multiply(sk_c5,sk_c7),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1416,plain,
( multiply(sk_c5,sk_c7) != X0
| X1 != X0
| X1 = multiply(sk_c5,sk_c7) ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1419,plain,
( X0 != sk_c5
| X1 != sk_c7
| multiply(X0,X1) = multiply(sk_c5,sk_c7) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1421,plain,
( sk_c7 != sk_c5
| sk_c7 != sk_c7
| multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c7) ),
inference(instantiation,[status(thm)],[c_1419]) ).
cnf(c_1424,plain,
( inverse(sk_c7) = sk_c1
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_65,c_1329]) ).
cnf(c_1425,plain,
( inverse(sk_c5) = sk_c3
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_1329]) ).
cnf(c_1426,plain,
( inverse(sk_c5) = sk_c3
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_75,c_1329]) ).
cnf(c_1467,plain,
( X0 != identity
| X1 != multiply(identity,sk_c6)
| multiply(X0,X1) = multiply(identity,multiply(identity,sk_c6)) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1493,plain,
( inverse(sk_c5) = sk_c3
| inverse(sk_c7) = sk_c4 ),
inference(superposition,[status(thm)],[c_1425,c_1329]) ).
cnf(c_1641,plain,
( multiply(sk_c3,sk_c5) = identity
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_1426,c_81]) ).
cnf(c_1670,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_1426,c_1116]) ).
cnf(c_1708,plain,
( multiply(sk_c5,sk_c5) = sk_c7
| inverse(sk_c7) = sk_c1
| inverse(sk_c3) = sk_c5 ),
inference(superposition,[status(thm)],[c_1424,c_1118]) ).
cnf(c_1736,plain,
( multiply(sk_c5,sk_c5) = sk_c7
| inverse(sk_c7) = sk_c1
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_1424,c_1119]) ).
cnf(c_1796,plain,
( multiply(sk_c1,sk_c7) = identity
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_67,c_1322]) ).
cnf(c_1798,plain,
( multiply(sk_c3,sk_c5) = identity
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_1322]) ).
cnf(c_1807,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1322,c_82]) ).
cnf(c_1871,plain,
( multiply(identity,sk_c6) != sk_c6
| X0 != sk_c6
| multiply(identity,sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_1224]) ).
cnf(c_1911,plain,
( multiply(sk_c4,multiply(sk_c7,X0)) = X0
| inverse(sk_c5) = sk_c3 ),
inference(superposition,[status(thm)],[c_1425,c_1327]) ).
cnf(c_1913,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = X0
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_67,c_1327]) ).
cnf(c_1915,plain,
( multiply(sk_c3,multiply(sk_c5,X0)) = X0
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_1327]) ).
cnf(c_1924,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c7 != sk_c6
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_1327,c_378]) ).
cnf(c_1940,plain,
( sk_c7 != sk_c6
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_1924,c_1329]) ).
cnf(c_1968,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_2038,plain,
( inverse(sk_c4) = sk_c7
| sk_c2 = identity ),
inference(superposition,[status(thm)],[c_1796,c_62]) ).
cnf(c_2234,plain,
( inverse(sk_c4) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1798,c_72]) ).
cnf(c_2245,plain,
( inverse(sk_c6) != sk_c5
| sk_c7 != sk_c5
| inverse(sk_c6) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1265]) ).
cnf(c_2253,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_2261,plain,
( inverse(sk_c7) = sk_c4
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2234,c_1329]) ).
cnf(c_2470,plain,
( X0 != X1
| sk_c2 != X1
| X0 = sk_c2 ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_2572,plain,
( multiply(sk_c7,sk_c5) != X0
| X1 != X0
| multiply(sk_c7,sk_c5) = X1 ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_2573,plain,
( multiply(sk_c7,sk_c5) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| X2 = multiply(sk_c7,sk_c5) ),
inference(instantiation,[status(thm)],[c_1289]) ).
cnf(c_2574,plain,
( sk_c5 != X0
| sk_c7 != X1
| multiply(sk_c7,sk_c5) = multiply(X1,X0) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_2576,plain,
( sk_c5 != sk_c7
| sk_c7 != sk_c7
| multiply(sk_c7,sk_c5) = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_2574]) ).
cnf(c_2588,plain,
( multiply(sk_c3,sk_c5) = identity
| inverse(sk_c7) = sk_c4 ),
inference(superposition,[status(thm)],[c_1493,c_81]) ).
cnf(c_2625,plain,
sk_c5 = sk_c5,
inference(instantiation,[status(thm)],[c_380]) ).
cnf(c_2626,plain,
( X0 != X1
| sk_c5 != X1
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_2627,plain,
( sk_c5 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = sk_c5 ),
inference(instantiation,[status(thm)],[c_2626]) ).
cnf(c_2700,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_2787,plain,
( multiply(sk_c7,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2234,c_1125]) ).
cnf(c_2827,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c7 != sk_c2
| ~ sP1_iProver_split
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_1127,c_377]) ).
cnf(c_2838,plain,
( sk_c7 != sk_c2
| ~ sP1_iProver_split
| inverse(sk_c4) = sk_c7 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2827,c_1329]) ).
cnf(c_2846,plain,
( X0 != multiply(identity,multiply(sk_c5,sk_c7))
| sk_c6 != multiply(identity,multiply(sk_c5,sk_c7))
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1056]) ).
cnf(c_2884,plain,
( multiply(sk_c7,sk_c2) = sk_c7
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_67,c_1132]) ).
cnf(c_2916,plain,
( inverse(sk_c4) = sk_c7
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_2884,c_57]) ).
cnf(c_2941,plain,
( multiply(sk_c7,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_2916,c_1125]) ).
cnf(c_2945,plain,
( inverse(sk_c7) = sk_c4
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_2916,c_1329]) ).
cnf(c_2986,plain,
( multiply(sk_c7,sk_c2) = sk_c7
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_65,c_1133]) ).
cnf(c_3065,plain,
( multiply(sk_c5,sk_c7) != X0
| X1 != X0
| multiply(sk_c5,sk_c7) = X1 ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_3066,plain,
( multiply(sk_c5,sk_c7) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| X2 = multiply(sk_c5,sk_c7) ),
inference(instantiation,[status(thm)],[c_1416]) ).
cnf(c_3067,plain,
( sk_c5 != X0
| sk_c7 != X1
| multiply(sk_c5,sk_c7) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_3069,plain,
( sk_c5 != sk_c7
| sk_c7 != sk_c7
| multiply(sk_c5,sk_c7) = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_3067]) ).
cnf(c_3161,plain,
( inverse(sk_c6) = sk_c5
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1641,c_70]) ).
cnf(c_3174,plain,
( multiply(sk_c5,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3161,c_1119]) ).
cnf(c_3175,plain,
( multiply(sk_c5,sk_c5) = sk_c7
| inverse(sk_c3) = sk_c5
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3161,c_1118]) ).
cnf(c_3178,plain,
( inverse(sk_c5) = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3161,c_1329]) ).
cnf(c_3252,plain,
( multiply(sk_c4,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c5
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_2945,c_1120]) ).
cnf(c_3325,plain,
( inverse(sk_c6) = sk_c5
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_2986,c_55]) ).
cnf(c_3361,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_1968]) ).
cnf(c_3362,plain,
( sk_c7 != identity
| identity != identity
| identity = sk_c7 ),
inference(instantiation,[status(thm)],[c_3361]) ).
cnf(c_3367,plain,
( multiply(sk_c5,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3325,c_1119]) ).
cnf(c_3368,plain,
( multiply(sk_c5,sk_c5) = sk_c7
| inverse(sk_c3) = sk_c5
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3325,c_1118]) ).
cnf(c_3370,plain,
( multiply(sk_c6,sk_c5) = identity
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3325,c_1322]) ).
cnf(c_3397,plain,
( multiply(sk_c5,sk_c7) != sk_c6
| multiply(identity,sk_c6) != sk_c6
| multiply(identity,sk_c6) = multiply(sk_c5,sk_c7) ),
inference(instantiation,[status(thm)],[c_1871]) ).
cnf(c_3410,plain,
( multiply(sk_c5,sk_c7) = sk_c5
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_1137]) ).
cnf(c_3449,plain,
( inverse(sk_c4) = sk_c7
| sk_c5 = sk_c6 ),
inference(superposition,[status(thm)],[c_3410,c_52]) ).
cnf(c_3531,plain,
( multiply(sk_c5,sk_c7) = sk_c5
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_75,c_1138]) ).
cnf(c_3559,plain,
( inverse(sk_c6) = sk_c5
| sk_c5 = sk_c6 ),
inference(superposition,[status(thm)],[c_3531,c_50]) ).
cnf(c_3600,plain,
( multiply(sk_c5,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7
| sk_c5 = sk_c6 ),
inference(superposition,[status(thm)],[c_3559,c_1119]) ).
cnf(c_3601,plain,
( multiply(sk_c5,sk_c5) = sk_c7
| inverse(sk_c3) = sk_c5
| sk_c5 = sk_c6 ),
inference(superposition,[status(thm)],[c_3559,c_1118]) ).
cnf(c_3603,plain,
( multiply(sk_c6,sk_c5) = identity
| sk_c5 = sk_c6 ),
inference(superposition,[status(thm)],[c_3559,c_1322]) ).
cnf(c_3755,plain,
( multiply(sk_c1,multiply(sk_c7,inverse(sk_c2))) = identity
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_62,c_1807]) ).
cnf(c_4052,plain,
( multiply(identity,sk_c6) != multiply(sk_c5,sk_c7)
| X0 != multiply(sk_c5,sk_c7)
| X0 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1225]) ).
cnf(c_4096,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2700,c_80]) ).
cnf(c_4127,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_4096]) ).
cnf(c_4128,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_4096]) ).
cnf(c_4134,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4096,c_4096]) ).
cnf(c_4213,plain,
( inverse(X0) != inverse(X1)
| X2 != inverse(X1)
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_2253]) ).
cnf(c_4304,plain,
( ~ sP1_iProver_split
| inverse(sk_c3) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_764,c_77,c_764]) ).
cnf(c_4684,plain,
( inverse(sk_c3) != sk_c5
| sk_c7 != identity
| ~ sP0_iProver_split
| inverse(sk_c7) = sk_c4 ),
inference(superposition,[status(thm)],[c_2588,c_376]) ).
cnf(c_4700,plain,
( multiply(sk_c5,sk_c7) = sk_c5
| multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_71,c_936]) ).
cnf(c_4735,plain,
( X0 != identity
| X1 != multiply(sk_c5,sk_c7)
| multiply(X0,X1) = multiply(identity,multiply(sk_c5,sk_c7)) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_4791,plain,
( X0 != sk_c7
| sk_c5 != sk_c5
| multiply(sk_c5,X0) = multiply(sk_c5,sk_c7) ),
inference(instantiation,[status(thm)],[c_1419]) ).
cnf(c_4792,plain,
( sk_c5 != sk_c5
| sk_c7 != sk_c7
| multiply(sk_c5,sk_c7) = multiply(sk_c5,sk_c7) ),
inference(instantiation,[status(thm)],[c_4791]) ).
cnf(c_4828,plain,
( inverse(sk_c6) != sk_c5
| X0 != sk_c5
| inverse(sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_2253]) ).
cnf(c_4906,plain,
( multiply(sk_c7,sk_c5) != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| multiply(sk_c7,sk_c5) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1071]) ).
cnf(c_5005,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_4128,c_4134]) ).
cnf(c_5013,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_5005,c_4127]) ).
cnf(c_5661,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_1322,c_1141]) ).
cnf(c_5686,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_5661,c_1296]) ).
cnf(c_6347,plain,
( multiply(sk_c7,sk_c5) != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(sk_c5,sk_c7)
| multiply(sk_c7,sk_c5) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1104]) ).
cnf(c_6474,plain,
( sk_c5 != multiply(identity,sk_c6)
| sk_c7 != identity
| multiply(sk_c7,sk_c5) = multiply(identity,multiply(identity,sk_c6)) ),
inference(instantiation,[status(thm)],[c_1467]) ).
cnf(c_6484,plain,
( X0 != X1
| sk_c5 != X1
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_6503,plain,
( sk_c5 != sk_c5
| sk_c7 != X0
| multiply(sk_c7,sk_c5) = multiply(X0,sk_c5) ),
inference(instantiation,[status(thm)],[c_2574]) ).
cnf(c_6562,plain,
( sk_c5 != sk_c6
| sk_c7 != identity
| multiply(sk_c7,sk_c5) = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1087]) ).
cnf(c_6596,plain,
( X0 != identity
| sk_c2 != identity
| X0 = sk_c2 ),
inference(instantiation,[status(thm)],[c_2470]) ).
cnf(c_6600,plain,
( sk_c7 != identity
| sk_c2 != identity
| sk_c7 = sk_c2 ),
inference(instantiation,[status(thm)],[c_6596]) ).
cnf(c_6601,plain,
( sk_c5 != X0
| identity != X0
| sk_c5 = identity ),
inference(instantiation,[status(thm)],[c_1244]) ).
cnf(c_6602,plain,
( X0 != identity
| sk_c5 != identity
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_2626]) ).
cnf(c_6603,plain,
( sk_c5 != sk_c7
| identity != sk_c7
| sk_c5 = identity ),
inference(instantiation,[status(thm)],[c_6601]) ).
cnf(c_6604,plain,
( sk_c5 != identity
| sk_c7 != identity
| sk_c7 = sk_c5 ),
inference(instantiation,[status(thm)],[c_6602]) ).
cnf(c_6693,plain,
( multiply(sk_c7,sk_c5) != multiply(identity,multiply(identity,sk_c6))
| sk_c6 != multiply(identity,multiply(identity,sk_c6))
| multiply(sk_c7,sk_c5) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1215]) ).
cnf(c_6705,plain,
( X0 != sk_c6
| sk_c5 != sk_c6
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_2626]) ).
cnf(c_6706,plain,
( sk_c5 != sk_c6
| sk_c7 != sk_c6
| sk_c7 = sk_c5 ),
inference(instantiation,[status(thm)],[c_6705]) ).
cnf(c_6770,plain,
( multiply(sk_c7,sk_c5) != multiply(identity,multiply(sk_c5,sk_c7))
| sk_c6 != multiply(identity,multiply(sk_c5,sk_c7))
| multiply(sk_c7,sk_c5) = sk_c6 ),
inference(instantiation,[status(thm)],[c_2846]) ).
cnf(c_6913,plain,
( multiply(sk_c5,sk_c7) != multiply(sk_c5,sk_c7)
| X0 != multiply(sk_c5,sk_c7)
| multiply(sk_c5,sk_c7) = X0 ),
inference(instantiation,[status(thm)],[c_3065]) ).
cnf(c_7006,plain,
( sk_c5 != sk_c5
| sk_c7 != X0
| multiply(sk_c5,sk_c7) = multiply(sk_c5,X0) ),
inference(instantiation,[status(thm)],[c_3067]) ).
cnf(c_7150,plain,
( inverse(sk_c6) != sk_c5
| sk_c7 != identity
| ~ sP0_iProver_split
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3370,c_376]) ).
cnf(c_7178,plain,
( inverse(sk_c6) != sk_c5
| sk_c7 != identity
| ~ sP0_iProver_split
| sk_c5 = sk_c6 ),
inference(superposition,[status(thm)],[c_3603,c_376]) ).
cnf(c_7221,plain,
( multiply(sk_c5,sk_c7) != multiply(X0,X1)
| multiply(sk_c7,sk_c5) != multiply(X0,X1)
| multiply(sk_c7,sk_c5) = multiply(sk_c5,sk_c7) ),
inference(instantiation,[status(thm)],[c_3066]) ).
cnf(c_7224,plain,
( multiply(sk_c5,sk_c7) != multiply(sk_c7,sk_c7)
| multiply(sk_c7,sk_c5) != multiply(sk_c7,sk_c7)
| multiply(sk_c7,sk_c5) = multiply(sk_c5,sk_c7) ),
inference(instantiation,[status(thm)],[c_7221]) ).
cnf(c_7310,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_52,c_1915]) ).
cnf(c_7392,plain,
( inverse(sk_c3) != sk_c7
| ~ sP1_iProver_split
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_7310,c_377]) ).
cnf(c_8269,plain,
( multiply(sk_c7,sk_c5) != sk_c6
| X0 != sk_c6
| multiply(sk_c7,sk_c5) = X0 ),
inference(instantiation,[status(thm)],[c_2572]) ).
cnf(c_8271,plain,
( multiply(sk_c7,sk_c5) != sk_c6
| sk_c7 != sk_c6
| multiply(sk_c7,sk_c5) = sk_c7 ),
inference(instantiation,[status(thm)],[c_8269]) ).
cnf(c_8298,plain,
( multiply(sk_c5,sk_c7) != multiply(X0,X1)
| sk_c6 != multiply(X0,X1)
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_891]) ).
cnf(c_8299,plain,
( multiply(sk_c5,sk_c7) != multiply(sk_c7,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c7)
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_8298]) ).
cnf(c_8317,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c6) != sk_c5
| inverse(sk_c6) = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_4828]) ).
cnf(c_8601,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_1108,c_5686]) ).
cnf(c_8660,plain,
( inverse(inverse(multiply(sk_c7,X0))) != sk_c7
| multiply(sk_c7,inverse(X0)) != sk_c6
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_5686,c_378]) ).
cnf(c_9180,plain,
( X0 != multiply(X1,X2)
| sk_c6 != multiply(X1,X2)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1056]) ).
cnf(c_9181,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c7)
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_9180]) ).
cnf(c_9399,plain,
( ~ sP1_iProver_split
| inverse(sk_c4) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_7392,c_2038,c_2234,c_2838,c_6600]) ).
cnf(c_10440,plain,
( ~ sP0_iProver_split
| multiply(sk_c7,sk_c5) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_721,c_76,c_721]) ).
cnf(c_10621,plain,
( ~ sP0_iProver_split
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_722,c_74,c_722]) ).
cnf(c_12355,plain,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = identity ),
inference(superposition,[status(thm)],[c_3755,c_1913]) ).
cnf(c_12403,plain,
( multiply(sk_c2,multiply(identity,X0)) = X0
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_12355,c_1327]) ).
cnf(c_12418,plain,
( multiply(sk_c2,X0) = X0
| inverse(sk_c4) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_12403,c_80]) ).
cnf(c_12618,plain,
( multiply(X0,X1) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1046]) ).
cnf(c_12621,plain,
( multiply(sk_c7,sk_c7) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_12618]) ).
cnf(c_14235,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c4,sk_c5)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_64,c_911]) ).
cnf(c_14336,plain,
( sk_c5 != multiply(sk_c5,sk_c7)
| sk_c7 != identity
| multiply(sk_c7,sk_c5) = multiply(identity,multiply(sk_c5,sk_c7)) ),
inference(instantiation,[status(thm)],[c_4735]) ).
cnf(c_14522,plain,
( multiply(sk_c7,sk_c7) != sk_c7
| inverse(sk_c4) != sk_c5
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_14235,c_376]) ).
cnf(c_14737,plain,
( multiply(X0,X1) != X2
| X3 != X2
| X3 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_14738,plain,
( multiply(sk_c7,sk_c7) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_14737]) ).
cnf(c_14909,plain,
( multiply(sk_c2,sk_c2) = multiply(sk_c1,sk_c6)
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_57,c_918]) ).
cnf(c_15569,plain,
( multiply(sk_c7,sk_c5) != multiply(X0,sk_c5)
| X1 != multiply(X0,sk_c5)
| X1 = multiply(sk_c7,sk_c5) ),
inference(instantiation,[status(thm)],[c_2573]) ).
cnf(c_15629,plain,
( X0 != sk_c5
| sk_c5 != sk_c5
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_6484]) ).
cnf(c_15630,plain,
( sk_c5 != sk_c5
| sk_c7 != sk_c5
| sk_c5 = sk_c7 ),
inference(instantiation,[status(thm)],[c_15629]) ).
cnf(c_16232,plain,
( multiply(X0,X1) != multiply(sk_c5,sk_c7)
| multiply(sk_c5,sk_c7) != multiply(sk_c5,sk_c7)
| multiply(sk_c5,sk_c7) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_6913]) ).
cnf(c_16233,plain,
( multiply(sk_c5,sk_c7) != multiply(sk_c5,sk_c7)
| multiply(sk_c7,sk_c7) != multiply(sk_c5,sk_c7)
| multiply(sk_c5,sk_c7) = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_16232]) ).
cnf(c_16585,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c6)
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_50,c_924]) ).
cnf(c_16704,plain,
( multiply(sk_c7,sk_c7) = sk_c7
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_16585,c_1670]) ).
cnf(c_20463,plain,
( inverse(sk_c7) != sk_c5
| sk_c7 != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c5 ),
inference(superposition,[status(thm)],[c_76,c_376]) ).
cnf(c_20470,plain,
( inverse(identity) != sk_c5
| sk_c5 != sk_c7
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_376]) ).
cnf(c_20471,plain,
( inverse(inverse(sk_c5)) != sk_c5
| sk_c7 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_376]) ).
cnf(c_20472,plain,
( sk_c5 != sk_c7
| sk_c5 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_20470,c_5013]) ).
cnf(c_20538,plain,
( ~ sP0_iProver_split
| sk_c7 != sk_c6
| inverse(sk_c7) != sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_20463,c_387,c_8271,c_10440]) ).
cnf(c_20539,plain,
( inverse(sk_c7) != sk_c5
| sk_c7 != sk_c6
| ~ sP0_iProver_split ),
inference(renaming,[status(thm)],[c_20538]) ).
cnf(c_20573,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_20655,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_20573,c_80]) ).
cnf(c_20679,plain,
( multiply(inverse(sk_c1),sk_c2) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_59,c_20655]) ).
cnf(c_20689,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_82,c_20655]) ).
cnf(c_22453,plain,
( multiply(inverse(sk_c7),multiply(sk_c4,multiply(sk_c6,X0))) = X0
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_68,c_20689]) ).
cnf(c_29752,plain,
( inverse(sk_c6) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_15629]) ).
cnf(c_29771,plain,
( sk_c5 != sk_c5
| sk_c7 != sk_c5
| multiply(sk_c7,sk_c5) = multiply(sk_c5,sk_c5) ),
inference(instantiation,[status(thm)],[c_6503]) ).
cnf(c_31015,plain,
( multiply(sk_c5,sk_c7) != multiply(sk_c5,sk_c5)
| multiply(sk_c7,sk_c5) != multiply(sk_c5,sk_c5)
| multiply(sk_c5,sk_c7) = multiply(sk_c7,sk_c5) ),
inference(instantiation,[status(thm)],[c_15569]) ).
cnf(c_31016,plain,
( sk_c5 != sk_c5
| sk_c7 != sk_c5
| multiply(sk_c5,sk_c7) = multiply(sk_c5,sk_c5) ),
inference(instantiation,[status(thm)],[c_7006]) ).
cnf(c_32792,plain,
( sk_c7 != identity
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_20471,c_893,c_1242,c_2625,c_3362,c_6603,c_6706,c_7150,c_7178,c_15630,c_20472]) ).
cnf(c_33768,plain,
( inverse(X0) != inverse(sk_c6)
| sk_c5 != inverse(sk_c6)
| inverse(X0) = sk_c5 ),
inference(instantiation,[status(thm)],[c_4213]) ).
cnf(c_33769,plain,
( inverse(sk_c7) != inverse(sk_c6)
| sk_c5 != inverse(sk_c6)
| inverse(sk_c7) = sk_c5 ),
inference(instantiation,[status(thm)],[c_33768]) ).
cnf(c_38728,plain,
( multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c7,X0)
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_16704,c_82]) ).
cnf(c_38899,plain,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_4700,c_1047,c_1053,c_1054,c_2234,c_3449,c_4906,c_6562]) ).
cnf(c_38924,plain,
( multiply(sk_c1,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_38899,c_1913]) ).
cnf(c_43049,plain,
( multiply(sk_c7,sk_c7) != sk_c6
| inverse(sk_c7) != sk_c7
| ~ sP2_iProver_split
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_38728,c_378]) ).
cnf(c_48385,plain,
( multiply(sk_c2,sk_c2) = sk_c5
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_38924,c_14909]) ).
cnf(c_48547,plain,
( multiply(sk_c5,sk_c5) = sk_c7
| inverse(sk_c3) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_1708,c_75,c_76,c_74,c_379,c_1047,c_1052,c_1059,c_1940,c_2625,c_3175,c_3368,c_3601,c_4304,c_6706,c_29771,c_31015,c_31016,c_32792]) ).
cnf(c_48556,plain,
( multiply(sk_c5,multiply(sk_c5,X0)) = multiply(sk_c7,X0)
| inverse(sk_c3) = sk_c5 ),
inference(superposition,[status(thm)],[c_48547,c_82]) ).
cnf(c_49036,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c7,sk_c5)
| inverse(sk_c3) = sk_c5 ),
inference(superposition,[status(thm)],[c_48547,c_48556]) ).
cnf(c_54120,plain,
( multiply(sk_c5,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1736,c_67,c_65,c_66,c_64,c_386,c_379,c_765,c_1047,c_1053,c_1054,c_1088,c_1089,c_1421,c_1940,c_2625,c_3174,c_3367,c_3600,c_4792,c_6706,c_8299,c_16233,c_32792]) ).
cnf(c_54129,plain,
( multiply(sk_c5,multiply(sk_c5,X0)) = multiply(sk_c7,X0)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_54120,c_82]) ).
cnf(c_55582,plain,
( multiply(identity,sk_c6) != multiply(sk_c5,sk_c7)
| sk_c5 != multiply(sk_c5,sk_c7)
| sk_c5 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_4052]) ).
cnf(c_56545,plain,
( sk_c7 != sk_c6
| inverse(sk_c7) != sk_c5
| inverse(sk_c3) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_718,c_75,c_76,c_74,c_379,c_1047,c_1052,c_1059,c_1940,c_4304,c_20539,c_49036]) ).
cnf(c_56546,plain,
( inverse(sk_c7) != sk_c5
| sk_c7 != sk_c6
| inverse(sk_c3) = sk_c5 ),
inference(renaming,[status(thm)],[c_56545]) ).
cnf(c_57534,plain,
( ~ sP0_iProver_split
| inverse(sk_c7) = sk_c4 ),
inference(global_subsumption_just,[status(thm)],[c_4684,c_2261,c_32792]) ).
cnf(c_60014,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c7,sk_c5)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_54120,c_54129]) ).
cnf(c_60237,plain,
( multiply(sk_c2,multiply(sk_c2,X0)) = multiply(sk_c5,X0)
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_48385,c_82]) ).
cnf(c_60891,plain,
( multiply(sk_c7,inverse(X0)) != sk_c6
| multiply(sk_c7,X0) != sk_c7
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_8660,c_1329]) ).
cnf(c_60907,plain,
( multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c7
| ~ sP2_iProver_split
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3325,c_60891]) ).
cnf(c_61179,plain,
( X0 != sk_c6
| inverse(X0) = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_383]) ).
cnf(c_61180,plain,
( sk_c7 != sk_c6
| inverse(sk_c7) = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_61179]) ).
cnf(c_62044,plain,
( multiply(sk_c5,X0) = X0
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_12418,c_60237]) ).
cnf(c_69247,plain,
( inverse(sk_c4) = sk_c7
| sk_c5 = sk_c7 ),
inference(superposition,[status(thm)],[c_62044,c_3410]) ).
cnf(c_69297,plain,
( inverse(sk_c4) = sk_c7
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_62044,c_1296]) ).
cnf(c_69609,plain,
( inverse(sk_c7) = sk_c4
| sk_c5 = sk_c7 ),
inference(superposition,[status(thm)],[c_69247,c_1329]) ).
cnf(c_70008,plain,
( inverse(sk_c7) = sk_c4
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_69297,c_1329]) ).
cnf(c_78359,plain,
( multiply(sk_c7,sk_c7) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_14522,c_75,c_386,c_724,c_1047,c_2625,c_2787,c_9181,c_12621,c_14738,c_20539,c_29752,c_32792,c_33769,c_61180]) ).
cnf(c_78361,plain,
( multiply(sk_c7,sk_c7) != sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_78359,c_67,c_65,c_66,c_64,c_386,c_379,c_765,c_1047,c_1052,c_1059,c_1940,c_2941,c_9181,c_12621,c_14738,c_60014,c_78359]) ).
cnf(c_78383,plain,
( multiply(sk_c4,sk_c6) = sk_c5
| inverse(sk_c5) = sk_c3
| inverse(sk_c3) = sk_c5 ),
inference(superposition,[status(thm)],[c_76,c_1911]) ).
cnf(c_78504,plain,
( multiply(sk_c5,sk_c7) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(sk_c5,sk_c7) ),
inference(instantiation,[status(thm)],[c_15629]) ).
cnf(c_78510,plain,
( multiply(sk_c4,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_78383,c_75,c_2625,c_3252,c_29752,c_33769,c_56546,c_61180]) ).
cnf(c_78522,plain,
( inverse(sk_c3) = sk_c5
| sk_c5 = sk_c7 ),
inference(superposition,[status(thm)],[c_78510,c_78]) ).
cnf(c_78555,plain,
( multiply(sk_c5,sk_c7) = sk_c5
| multiply(sk_c7,sk_c5) = sk_c6
| sk_c5 = sk_c7 ),
inference(superposition,[status(thm)],[c_78522,c_1135]) ).
cnf(c_78565,plain,
( multiply(sk_c3,sk_c5) = identity
| sk_c5 = sk_c7 ),
inference(superposition,[status(thm)],[c_78522,c_1322]) ).
cnf(c_79422,plain,
( multiply(sk_c4,sk_c6) = sk_c7
| sk_c5 = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_78565,c_73]) ).
cnf(c_79423,plain,
( multiply(sk_c7,sk_c5) = sk_c6
| sk_c5 = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_78565,c_71]) ).
cnf(c_79896,plain,
( inverse(sk_c4) != sk_c7
| ~ sP1_iProver_split
| sk_c5 = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_79422,c_377]) ).
cnf(c_79956,plain,
( multiply(sk_c7,sk_c5) = sk_c6
| sk_c7 = identity ),
inference(global_subsumption_just,[status(thm)],[c_79423,c_51,c_386,c_1047,c_1073,c_1413,c_1414,c_2576,c_2625,c_3069,c_6347,c_6770,c_7224,c_14336,c_78504,c_78555,c_79423]) ).
cnf(c_79958,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_79956,c_51,c_386,c_1047,c_1053,c_1054,c_1073,c_1081,c_1082,c_2576,c_2625,c_3069,c_3397,c_6347,c_6474,c_6693,c_7224,c_55582,c_78504,c_78555,c_79956]) ).
cnf(c_79992,plain,
( multiply(sk_c5,sk_c7) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c6) != sk_c5
| sk_c6 != sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_379,c_79958]) ).
cnf(c_79994,plain,
( multiply(sk_c5,sk_c7) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c6) != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_79992]) ).
cnf(c_80035,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c5,
inference(superposition,[status(thm)],[c_79958,c_1108]) ).
cnf(c_80036,plain,
multiply(sk_c7,multiply(sk_c5,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_79958,c_82]) ).
cnf(c_80038,plain,
multiply(inverse(sk_c5),inverse(sk_c7)) = inverse(sk_c6),
inference(superposition,[status(thm)],[c_79958,c_8601]) ).
cnf(c_80135,plain,
( ~ sP1_iProver_split
| sk_c5 = sk_c7
| sk_c7 = identity ),
inference(global_subsumption_just,[status(thm)],[c_79896,c_2038,c_2234,c_2838,c_6600,c_79896]) ).
cnf(c_80661,plain,
( multiply(sk_c4,sk_c6) = sk_c5
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_70008,c_80035]) ).
cnf(c_80663,plain,
( multiply(sk_c4,sk_c6) = sk_c5
| sk_c5 = sk_c7 ),
inference(superposition,[status(thm)],[c_69609,c_80035]) ).
cnf(c_80677,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c5 != sk_c7
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_80035,c_377]) ).
cnf(c_80730,plain,
( sk_c5 != sk_c7
| ~ sP1_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_80677,c_1329]) ).
cnf(c_80737,plain,
( ~ sP1_iProver_split
| sk_c7 = identity ),
inference(backward_subsumption_resolution,[status(thm)],[c_80135,c_80730]) ).
cnf(c_81124,plain,
multiply(inverse(sk_c5),multiply(inverse(sk_c7),X0)) = multiply(inverse(sk_c6),X0),
inference(superposition,[status(thm)],[c_80038,c_82]) ).
cnf(c_81126,plain,
multiply(sk_c5,inverse(sk_c6)) = inverse(sk_c7),
inference(superposition,[status(thm)],[c_80038,c_1327]) ).
cnf(c_81218,plain,
multiply(sk_c5,multiply(inverse(sk_c6),X0)) = multiply(inverse(sk_c7),X0),
inference(superposition,[status(thm)],[c_81126,c_82]) ).
cnf(c_81974,plain,
multiply(inverse(sk_c5),identity) = multiply(inverse(sk_c6),sk_c7),
inference(superposition,[status(thm)],[c_81,c_81124]) ).
cnf(c_82567,plain,
multiply(inverse(sk_c6),sk_c7) = inverse(sk_c5),
inference(demodulation,[status(thm)],[c_81974,c_1296]) ).
cnf(c_82590,plain,
multiply(inverse(sk_c7),sk_c7) = multiply(sk_c5,inverse(sk_c5)),
inference(superposition,[status(thm)],[c_82567,c_81218]) ).
cnf(c_83898,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_83916,plain,
( inverse(identity) != identity
| X0 != identity
| inverse(identity) = X0 ),
inference(instantiation,[status(thm)],[c_83898]) ).
cnf(c_83961,plain,
( inverse(identity) != X0
| X1 != X0
| inverse(identity) = X1 ),
inference(instantiation,[status(thm)],[c_83898]) ).
cnf(c_83995,plain,
( inverse(sk_c6) != multiply(sk_c6,sk_c7)
| X0 != multiply(sk_c6,sk_c7)
| inverse(sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_83898]) ).
cnf(c_84230,plain,
( inverse(identity) != X0
| sk_c5 != X0
| inverse(identity) = sk_c5 ),
inference(instantiation,[status(thm)],[c_83961]) ).
cnf(c_84264,plain,
( multiply(X0,X1) != multiply(sk_c6,sk_c7)
| inverse(sk_c6) != multiply(sk_c6,sk_c7)
| inverse(sk_c6) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_83995]) ).
cnf(c_84265,plain,
( X0 != sk_c6
| X1 != sk_c7
| multiply(X0,X1) = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_84384,plain,
( multiply(inverse(X0),X0) != identity
| inverse(identity) != identity
| inverse(identity) = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_83916]) ).
cnf(c_84385,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| inverse(identity) != identity
| inverse(identity) = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_84384]) ).
cnf(c_84880,plain,
( inverse(identity) != inverse(sk_c6)
| sk_c5 != inverse(sk_c6)
| inverse(identity) = sk_c5 ),
inference(instantiation,[status(thm)],[c_84230]) ).
cnf(c_85010,plain,
( inverse(identity) != multiply(inverse(X0),X0)
| X1 != multiply(inverse(X0),X0)
| inverse(identity) = X1 ),
inference(instantiation,[status(thm)],[c_83961]) ).
cnf(c_86259,plain,
( X0 != sk_c7
| X1 != sk_c5
| multiply(X0,X1) = multiply(sk_c7,sk_c5) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_86464,plain,
( inverse(sk_c6) != multiply(inverse(X0),X0)
| inverse(identity) != multiply(inverse(X0),X0)
| inverse(identity) = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_85010]) ).
cnf(c_86466,plain,
( multiply(inverse(X0),X0) != multiply(sk_c6,sk_c7)
| inverse(sk_c6) != multiply(sk_c6,sk_c7)
| inverse(sk_c6) = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_84264]) ).
cnf(c_86467,plain,
( inverse(sk_c6) != multiply(inverse(sk_c7),sk_c7)
| inverse(identity) != multiply(inverse(sk_c7),sk_c7)
| inverse(identity) = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_86464]) ).
cnf(c_86468,plain,
( multiply(inverse(sk_c7),sk_c7) != multiply(sk_c6,sk_c7)
| inverse(sk_c6) != multiply(sk_c6,sk_c7)
| inverse(sk_c6) = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_86466]) ).
cnf(c_94930,plain,
( sk_c5 != sk_c7
| sk_c7 != sk_c5
| multiply(sk_c5,sk_c7) = multiply(sk_c7,sk_c5) ),
inference(instantiation,[status(thm)],[c_86259]) ).
cnf(c_96876,plain,
( inverse(X0) != sk_c6
| X1 != sk_c7
| multiply(inverse(X0),X1) = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_84265]) ).
cnf(c_96880,plain,
( inverse(sk_c7) != sk_c6
| sk_c7 != sk_c7
| multiply(inverse(sk_c7),sk_c7) = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_96876]) ).
cnf(c_100624,plain,
( sk_c5 = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_80663,c_79422]) ).
cnf(c_100625,plain,
( multiply(sk_c7,sk_c2) = sk_c6
| sk_c5 = sk_c7 ),
inference(superposition,[status(thm)],[c_80663,c_58]) ).
cnf(c_100626,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| sk_c5 = sk_c7 ),
inference(superposition,[status(thm)],[c_80663,c_53]) ).
cnf(c_100628,plain,
( inverse(sk_c1) = sk_c7
| sk_c5 = sk_c7 ),
inference(superposition,[status(thm)],[c_80663,c_68]) ).
cnf(c_100630,plain,
( multiply(sk_c4,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| sk_c5 = sk_c7 ),
inference(superposition,[status(thm)],[c_80663,c_82]) ).
cnf(c_100684,plain,
( multiply(sk_c7,sk_c7) = sk_c7
| inverse(sk_c1) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_100624,c_54120]) ).
cnf(c_100783,plain,
( inverse(sk_c7) = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_100624,c_3178]) ).
cnf(c_101204,plain,
inverse(sk_c1) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_22453,c_67,c_65,c_64,c_51,c_386,c_379,c_765,c_798,c_1047,c_1052,c_1059,c_1073,c_1413,c_1414,c_2245,c_2576,c_2625,c_2627,c_3069,c_6347,c_6770,c_7224,c_14336,c_32792,c_78361,c_78504,c_78555,c_79423,c_94930,c_100628,c_100626,c_100684]) ).
cnf(c_101214,plain,
( multiply(sk_c7,sk_c2) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(demodulation,[status(thm)],[c_20679,c_101204]) ).
cnf(c_101724,plain,
inverse(sk_c1) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_100628,c_101204]) ).
cnf(c_101757,plain,
( multiply(sk_c7,sk_c2) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(demodulation,[status(thm)],[c_1131,c_101724]) ).
cnf(c_101785,plain,
multiply(sk_c1,sk_c7) = identity,
inference(superposition,[status(thm)],[c_101724,c_1322]) ).
cnf(c_101786,plain,
inverse(sk_c7) = sk_c1,
inference(superposition,[status(thm)],[c_101724,c_1329]) ).
cnf(c_101832,plain,
( multiply(sk_c4,sk_c6) = sk_c7
| sk_c2 = identity ),
inference(demodulation,[status(thm)],[c_63,c_101785]) ).
cnf(c_101844,plain,
multiply(sk_c1,sk_c6) = sk_c5,
inference(demodulation,[status(thm)],[c_80035,c_101786]) ).
cnf(c_101852,plain,
( ~ sP0_iProver_split
| sk_c4 = sk_c1 ),
inference(demodulation,[status(thm)],[c_57534,c_101786]) ).
cnf(c_102063,plain,
multiply(sk_c7,sk_c2) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_100625,c_85,c_57,c_55,c_54,c_51,c_386,c_379,c_725,c_762,c_796,c_1047,c_1052,c_1059,c_1073,c_1304,c_1413,c_1414,c_2245,c_2576,c_2625,c_2627,c_3069,c_6347,c_6770,c_7224,c_8317,c_14336,c_29752,c_32792,c_78504,c_78555,c_79423,c_84385,c_84880,c_86467,c_86468,c_94930,c_96880,c_100626,c_100625,c_100783]) ).
cnf(c_102099,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c2,
inference(superposition,[status(thm)],[c_102063,c_1108]) ).
cnf(c_102102,plain,
sk_c5 = sk_c2,
inference(light_normalisation,[status(thm)],[c_102099,c_101786,c_101844]) ).
cnf(c_102213,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_100626,c_51,c_386,c_1047,c_1052,c_1059,c_1073,c_1413,c_1414,c_2576,c_2625,c_2627,c_3069,c_6347,c_6770,c_7224,c_14336,c_78504,c_78555,c_79423,c_94930,c_100626]) ).
cnf(c_102229,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm)],[c_102213,c_80036]) ).
cnf(c_102293,plain,
( multiply(sk_c4,sk_c6) = sk_c7
| sk_c5 = identity ),
inference(light_normalisation,[status(thm)],[c_101832,c_102102]) ).
cnf(c_102304,plain,
( sk_c5 = sk_c7
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_102293,c_80661]) ).
cnf(c_102308,plain,
( inverse(sk_c4) != sk_c7
| ~ sP1_iProver_split
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_102293,c_377]) ).
cnf(c_102695,plain,
~ sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_102308,c_2625,c_6604,c_9399,c_15630,c_80730,c_80737,c_102308]) ).
cnf(c_102714,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_101757,c_79958,c_102102,c_102229]) ).
cnf(c_102825,plain,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_101852,c_85,c_75,c_386,c_725,c_724,c_1304,c_2625,c_8317,c_10621,c_29752,c_32792,c_84385,c_84880,c_86467,c_86468,c_96880,c_100624,c_100783]) ).
cnf(c_102925,plain,
sk_c5 = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_100630,c_2625,c_6604,c_15630,c_100624,c_102304]) ).
cnf(c_102932,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_102714,c_102925]) ).
cnf(c_102946,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm)],[c_79958,c_102925]) ).
cnf(c_102968,plain,
( inverse(sk_c6) = sk_c7
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_3325,c_102925]) ).
cnf(c_103032,plain,
~ sP2_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_43049,c_51,c_386,c_1047,c_1073,c_1413,c_1414,c_1940,c_2576,c_2625,c_3069,c_6347,c_6770,c_7224,c_14336,c_60907,c_78504,c_78555,c_79423,c_102932]) ).
cnf(c_103046,plain,
sk_c7 = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_102968,c_85,c_75,c_57,c_55,c_54,c_51,c_386,c_379,c_725,c_724,c_762,c_796,c_1047,c_1052,c_1059,c_1073,c_1076,c_1102,c_1254,c_1304,c_1413,c_1414,c_1940,c_2245,c_2576,c_2625,c_2627,c_3069,c_3325,c_6347,c_6604,c_6770,c_7224,c_8317,c_10621,c_14336,c_15630,c_29752,c_32792,c_60907,c_78504,c_78555,c_79423,c_79994,c_80730,c_84385,c_84880,c_86467,c_86468,c_94930,c_96880,c_100624,c_100626,c_100625,c_100783,c_101214,c_102304,c_102932]) ).
cnf(c_103048,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm)],[c_102946,c_103046]) ).
cnf(c_103066,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm)],[c_103048,c_1108]) ).
cnf(c_103069,plain,
sk_c7 = identity,
inference(light_normalisation,[status(thm)],[c_103066,c_82590,c_101785,c_101786]) ).
cnf(c_103072,plain,
sk_c6 = identity,
inference(demodulation,[status(thm)],[c_103046,c_103069]) ).
cnf(c_103074,plain,
sk_c5 = identity,
inference(demodulation,[status(thm)],[c_102925,c_103069]) ).
cnf(c_103257,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c6) != sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_876,c_79994,c_102213,c_102695,c_102825,c_103032]) ).
cnf(c_103259,plain,
( multiply(identity,identity) != identity
| identity != identity ),
inference(light_normalisation,[status(thm)],[c_103257,c_1304,c_102229,c_103069,c_103072,c_103074]) ).
cnf(c_103260,plain,
multiply(identity,identity) != identity,
inference(equality_resolution_simp,[status(thm)],[c_103259]) ).
cnf(c_103261,plain,
identity != identity,
inference(demodulation,[status(thm)],[c_103260,c_80]) ).
cnf(c_103262,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_103261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP368-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n013.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 29 00:12:17 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 14.40/2.67 % SZS status Started for theBenchmark.p
% 14.40/2.67 % SZS status Unsatisfiable for theBenchmark.p
% 14.40/2.67
% 14.40/2.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 14.40/2.67
% 14.40/2.67 ------ iProver source info
% 14.40/2.67
% 14.40/2.67 git: date: 2023-05-31 18:12:56 +0000
% 14.40/2.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 14.40/2.67 git: non_committed_changes: false
% 14.40/2.67 git: last_make_outside_of_git: false
% 14.40/2.67
% 14.40/2.67 ------ Parsing...successful
% 14.40/2.67
% 14.40/2.67
% 14.40/2.67
% 14.40/2.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 14.40/2.67
% 14.40/2.67 ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 14.40/2.67
% 14.40/2.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 14.40/2.67 ------ Proving...
% 14.40/2.67 ------ Problem Properties
% 14.40/2.67
% 14.40/2.67
% 14.40/2.67 clauses 37
% 14.40/2.67 conjectures 34
% 14.40/2.67 EPR 0
% 14.40/2.67 Horn 6
% 14.40/2.67 unary 3
% 14.40/2.67 binary 30
% 14.40/2.67 lits 79
% 14.40/2.67 lits eq 73
% 14.40/2.67 fd_pure 0
% 14.40/2.67 fd_pseudo 0
% 14.40/2.67 fd_cond 0
% 14.40/2.67 fd_pseudo_cond 0
% 14.40/2.67 AC symbols 0
% 14.40/2.67
% 14.40/2.67 ------ Schedule dynamic 5 is on
% 14.40/2.67
% 14.40/2.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.40/2.67
% 14.40/2.67
% 14.40/2.67 ------
% 14.40/2.67 Current options:
% 14.40/2.67 ------
% 14.40/2.67
% 14.40/2.67
% 14.40/2.67
% 14.40/2.67
% 14.40/2.67 ------ Proving...
% 14.40/2.67
% 14.40/2.67
% 14.40/2.67 % SZS status Unsatisfiable for theBenchmark.p
% 14.40/2.67
% 14.40/2.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.40/2.68
% 14.40/2.68
%------------------------------------------------------------------------------