TSTP Solution File: GRP290-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP290-1 : 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 00:59:09 EDT 2023
% Result : Unsatisfiable 4.29s 1.17s
% Output : CNFRefutation 4.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 36
% Syntax : Number of clauses : 352 ( 86 unt; 121 nHn; 309 RR)
% Number of literals : 768 ( 707 equ; 318 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 : 145 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c8,sk_c7) = 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_c8,sk_c7) = 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_c8,sk_c7) != 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_c8,sk_c7) != 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_c8,sk_c7) != 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_384,plain,
( X0 != X1
| inverse(X0) = inverse(X1) ),
theory(equality) ).
cnf(c_387,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_724,plain,
( inverse(sk_c8) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_54,c_376]) ).
cnf(c_728,plain,
( inverse(sk_c2) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_72,c_376]) ).
cnf(c_729,plain,
( inverse(sk_c2) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_70,c_376]) ).
cnf(c_775,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_377]) ).
cnf(c_829,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_831,plain,
( inverse(sk_c5) != sk_c6
| ~ sP2_iProver_split
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_53,c_378]) ).
cnf(c_832,plain,
( inverse(sk_c5) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_378]) ).
cnf(c_833,plain,
( inverse(sk_c5) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_65,c_378]) ).
cnf(c_834,plain,
( inverse(identity) != sk_c6
| sk_c8 != sk_c6
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_378]) ).
cnf(c_835,plain,
( inverse(inverse(sk_c6)) != sk_c6
| sk_c8 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_378]) ).
cnf(c_869,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_870,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_931,plain,
( multiply(sk_c8,sk_c7) != X0
| sk_c6 != X0
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_934,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_935,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_934]) ).
cnf(c_936,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_941,plain,
( inverse(sk_c5) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_935]) ).
cnf(c_942,plain,
( multiply(identity,sk_c6) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_935]) ).
cnf(c_943,plain,
multiply(identity,sk_c6) = sk_c6,
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_945,plain,
( X0 != X1
| sk_c6 != X1
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_975,plain,
( X0 != inverse(sk_c5)
| sk_c6 != inverse(sk_c5)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_934]) ).
cnf(c_977,plain,
( ~ sP0_iProver_split
| inverse(sk_c5) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_724,c_78,c_728]) ).
cnf(c_984,plain,
( X0 != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_934]) ).
cnf(c_988,plain,
( multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_73,c_82]) ).
cnf(c_993,plain,
( multiply(sk_c8,multiply(sk_c4,X0)) = multiply(sk_c7,X0)
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_62,c_82]) ).
cnf(c_1006,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_60,c_82]) ).
cnf(c_1007,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_1009,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_1013,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_1140,plain,
( X0 != inverse(sk_c5)
| sk_c6 != inverse(sk_c5)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_945]) ).
cnf(c_1141,plain,
( sk_c8 != inverse(sk_c5)
| sk_c6 != inverse(sk_c5)
| sk_c8 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1140]) ).
cnf(c_1144,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_935]) ).
cnf(c_1145,plain,
( inverse(X0) != X1
| sk_c7 != X1
| inverse(X0) = sk_c7 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1147,plain,
( multiply(identity,inverse(sk_c5)) != inverse(sk_c5)
| sk_c6 != inverse(sk_c5)
| sk_c6 = multiply(identity,inverse(sk_c5)) ),
inference(instantiation,[status(thm)],[c_975]) ).
cnf(c_1148,plain,
multiply(identity,inverse(sk_c5)) = inverse(sk_c5),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1150,plain,
( inverse(sk_c5) != X0
| X1 != X0
| X1 = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1153,plain,
( X0 != sk_c5
| inverse(X0) = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_1155,plain,
( sk_c8 != sk_c5
| inverse(sk_c8) = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_1153]) ).
cnf(c_1166,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_984]) ).
cnf(c_1167,plain,
multiply(identity,multiply(identity,sk_c6)) = multiply(identity,sk_c6),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1169,plain,
( multiply(identity,sk_c6) != X0
| X1 != X0
| X1 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1184,plain,
( inverse(sk_c5) != sk_c6
| sk_c7 != sk_c6
| inverse(sk_c5) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1145]) ).
cnf(c_1189,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1192,plain,
( X0 != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_945]) ).
cnf(c_1195,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c8 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1192]) ).
cnf(c_1196,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1013,c_80]) ).
cnf(c_1205,plain,
( multiply(inverse(sk_c6),sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_49,c_1196]) ).
cnf(c_1212,plain,
( multiply(inverse(sk_c3),sk_c4) = sk_c8
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_75,c_1196]) ).
cnf(c_1213,plain,
( multiply(inverse(sk_c3),sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_63,c_1196]) ).
cnf(c_1217,plain,
( multiply(inverse(sk_c5),sk_c8) = sk_c6
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_1196]) ).
cnf(c_1218,plain,
( multiply(inverse(sk_c5),sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_65,c_1196]) ).
cnf(c_1220,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_55,c_1196]) ).
cnf(c_1221,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_60,c_1196]) ).
cnf(c_1222,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_58,c_1196]) ).
cnf(c_1225,plain,
( multiply(inverse(sk_c2),sk_c6) = sk_c7
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_72,c_1196]) ).
cnf(c_1226,plain,
( multiply(inverse(sk_c2),sk_c6) = sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_70,c_1196]) ).
cnf(c_1227,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_1196]) ).
cnf(c_1228,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_1196]) ).
cnf(c_1234,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1196,c_1196]) ).
cnf(c_1302,plain,
( multiply(sk_c8,sk_c7) != multiply(identity,inverse(sk_c5))
| sk_c6 != multiply(identity,inverse(sk_c5))
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_931]) ).
cnf(c_1316,plain,
( X0 != inverse(X1)
| sk_c6 != inverse(X1)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_945]) ).
cnf(c_1335,plain,
( multiply(sk_c2,sk_c7) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(instantiation,[status(thm)],[c_935]) ).
cnf(c_1341,plain,
( multiply(sk_c8,sk_c7) != multiply(identity,multiply(identity,sk_c6))
| sk_c6 != multiply(identity,multiply(identity,sk_c6))
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_931]) ).
cnf(c_1402,plain,
( multiply(identity,sk_c6) != sk_c6
| X0 != sk_c6
| X0 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1169]) ).
cnf(c_1406,plain,
( inverse(inverse(identity)) != sk_c8
| sk_c8 != sk_c7
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_1227,c_377]) ).
cnf(c_1436,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1438,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1440,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1228,c_1234]) ).
cnf(c_1448,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1440,c_1227]) ).
cnf(c_1465,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1234,c_81]) ).
cnf(c_1470,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1234,c_1196]) ).
cnf(c_1471,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1234,c_1440]) ).
cnf(c_1472,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1471,c_1440]) ).
cnf(c_1495,plain,
inverse(inverse(sk_c8)) = sk_c8,
inference(instantiation,[status(thm)],[c_1472]) ).
cnf(c_1529,plain,
( sk_c8 != X0
| sk_c7 != X0
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1622,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c6
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_376]) ).
cnf(c_1666,plain,
( X0 != multiply(sk_c2,sk_c7)
| sk_c6 != multiply(sk_c2,sk_c7)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_945]) ).
cnf(c_1669,plain,
( sk_c8 != multiply(sk_c2,sk_c7)
| sk_c6 != multiply(sk_c2,sk_c7)
| sk_c8 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1666]) ).
cnf(c_1696,plain,
( inverse(sk_c2) != sk_c7
| X0 != sk_c7
| inverse(sk_c2) = X0 ),
inference(instantiation,[status(thm)],[c_1189]) ).
cnf(c_1701,plain,
( inverse(X0) != inverse(X1)
| X2 != inverse(X1)
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_1189]) ).
cnf(c_1753,plain,
( multiply(sk_c8,sk_c7) != X0
| X1 != X0
| X1 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1754,plain,
( multiply(sk_c8,sk_c7) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_1753]) ).
cnf(c_1802,plain,
( X0 != identity
| X1 != multiply(identity,sk_c6)
| multiply(X0,X1) = multiply(identity,multiply(identity,sk_c6)) ),
inference(instantiation,[status(thm)],[c_383]) ).
cnf(c_1838,plain,
( inverse(sk_c1) != sk_c8
| ~ sP1_iProver_split
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_60,c_377]) ).
cnf(c_1839,plain,
( inverse(sk_c1) != sk_c8
| ~ sP1_iProver_split
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_58,c_377]) ).
cnf(c_1926,plain,
( multiply(sk_c5,sk_c6) = identity
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_78,c_1465]) ).
cnf(c_1927,plain,
( multiply(sk_c5,sk_c6) = identity
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1465]) ).
cnf(c_1969,plain,
( inverse(sk_c5) != sk_c6
| X0 != sk_c6
| inverse(sk_c5) = X0 ),
inference(instantiation,[status(thm)],[c_1189]) ).
cnf(c_1971,plain,
( inverse(sk_c5) != sk_c6
| sk_c8 != sk_c6
| inverse(sk_c5) = sk_c8 ),
inference(instantiation,[status(thm)],[c_1969]) ).
cnf(c_1984,plain,
( multiply(identity,inverse(sk_c5)) != X0
| multiply(sk_c8,sk_c7) != X0
| multiply(sk_c8,sk_c7) = multiply(identity,inverse(sk_c5)) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_2021,plain,
( multiply(sk_c5,multiply(sk_c6,X0)) = X0
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_78,c_1470]) ).
cnf(c_2022,plain,
( multiply(sk_c5,multiply(sk_c6,X0)) = X0
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1470]) ).
cnf(c_2032,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c8 != sk_c7
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_1470,c_379]) ).
cnf(c_2053,plain,
( sk_c8 != sk_c7
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2032,c_1472]) ).
cnf(c_2353,plain,
( inverse(sk_c2) = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1926,c_77]) ).
cnf(c_2411,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1927,c_65]) ).
cnf(c_2488,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_2534,plain,
( multiply(sk_c6,sk_c8) != X0
| sk_c7 != X0
| multiply(sk_c6,sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_2535,plain,
( multiply(sk_c6,sk_c8) != sk_c8
| sk_c7 != sk_c8
| multiply(sk_c6,sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_2534]) ).
cnf(c_2756,plain,
( multiply(sk_c8,sk_c4) = sk_c8
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_76,c_1212]) ).
cnf(c_2827,plain,
( inverse(sk_c2) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_2756,c_74]) ).
cnf(c_2864,plain,
( multiply(sk_c8,sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_64,c_1213]) ).
cnf(c_2884,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_2864,c_62]) ).
cnf(c_2924,plain,
( multiply(sk_c7,sk_c4) = multiply(sk_c6,sk_c7)
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_74,c_988]) ).
cnf(c_3168,plain,
( multiply(sk_c6,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_78,c_1217]) ).
cnf(c_3220,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_3314,plain,
( inverse(sk_c2) = sk_c7
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3168,c_73]) ).
cnf(c_3362,plain,
( multiply(sk_c6,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1218]) ).
cnf(c_3389,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_3390,plain,
( sk_c8 != sk_c8
| sk_c7 != sk_c8
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_3389]) ).
cnf(c_3403,plain,
( inverse(sk_c1) = sk_c8
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3362,c_61]) ).
cnf(c_3454,plain,
( sk_c8 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1529]) ).
cnf(c_3455,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_3574,plain,
( multiply(sk_c2,sk_c7) != X0
| X1 != X0
| X1 = multiply(sk_c2,sk_c7) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_3987,plain,
( multiply(identity,inverse(sk_c5)) != multiply(X0,X1)
| multiply(sk_c8,sk_c7) != multiply(X0,X1)
| multiply(sk_c8,sk_c7) = multiply(identity,inverse(sk_c5)) ),
inference(instantiation,[status(thm)],[c_1984]) ).
cnf(c_3988,plain,
( sk_c8 != X0
| sk_c7 != X1
| multiply(sk_c8,sk_c7) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_383]) ).
cnf(c_3989,plain,
( multiply(identity,inverse(sk_c5)) != multiply(sk_c8,sk_c8)
| multiply(sk_c8,sk_c7) != multiply(sk_c8,sk_c8)
| multiply(sk_c8,sk_c7) = multiply(identity,inverse(sk_c5)) ),
inference(instantiation,[status(thm)],[c_3987]) ).
cnf(c_3990,plain,
( sk_c8 != sk_c8
| sk_c7 != sk_c8
| multiply(sk_c8,sk_c7) = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_3988]) ).
cnf(c_3996,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_4146,plain,
( inverse(sk_c5) != X0
| identity != X1
| multiply(identity,inverse(sk_c5)) = multiply(X1,X0) ),
inference(instantiation,[status(thm)],[c_383]) ).
cnf(c_4148,plain,
( inverse(sk_c5) != sk_c8
| identity != sk_c8
| multiply(identity,inverse(sk_c5)) = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_4146]) ).
cnf(c_4246,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3220,c_80]) ).
cnf(c_4255,plain,
( multiply(inverse(sk_c6),sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_49,c_4246]) ).
cnf(c_4260,plain,
( multiply(inverse(sk_c3),sk_c4) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_57,c_4246]) ).
cnf(c_4264,plain,
( multiply(inverse(sk_c5),sk_c8) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_71,c_4246]) ).
cnf(c_4278,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_4246]) ).
cnf(c_4284,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4246,c_4246]) ).
cnf(c_4495,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_2488]) ).
cnf(c_4496,plain,
( sk_c8 != identity
| identity != identity
| identity = sk_c8 ),
inference(instantiation,[status(thm)],[c_4495]) ).
cnf(c_4837,plain,
( inverse(X0) != inverse(sk_c5)
| sk_c6 != inverse(sk_c5)
| inverse(X0) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1701]) ).
cnf(c_4838,plain,
( inverse(sk_c8) != inverse(sk_c5)
| sk_c6 != inverse(sk_c5)
| inverse(sk_c8) = sk_c6 ),
inference(instantiation,[status(thm)],[c_4837]) ).
cnf(c_4897,plain,
( ~ sP2_iProver_split
| inverse(sk_c2) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_832,c_78,c_832]) ).
cnf(c_4903,plain,
( ~ sP2_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_833,c_66,c_833]) ).
cnf(c_4909,plain,
( sk_c8 != sk_c6
| sk_c6 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_834,c_1448]) ).
cnf(c_4991,plain,
( inverse(X0) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_935]) ).
cnf(c_5577,plain,
( inverse(X0) != X1
| sk_c6 != X1
| inverse(X0) = sk_c6 ),
inference(instantiation,[status(thm)],[c_945]) ).
cnf(c_5713,plain,
( inverse(sk_c5) != sk_c7
| X0 != sk_c7
| inverse(sk_c5) = X0 ),
inference(instantiation,[status(thm)],[c_1189]) ).
cnf(c_5715,plain,
( inverse(sk_c5) != sk_c7
| sk_c8 != sk_c7
| inverse(sk_c5) = sk_c8 ),
inference(instantiation,[status(thm)],[c_5713]) ).
cnf(c_5716,plain,
( inverse(sk_c5) != sk_c7
| X0 != sk_c7
| X0 = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_1150]) ).
cnf(c_5717,plain,
( inverse(sk_c5) != sk_c7
| sk_c8 != sk_c7
| sk_c8 = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_5716]) ).
cnf(c_5772,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_4278,c_4284]) ).
cnf(c_5906,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_4284,c_81]) ).
cnf(c_5911,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_4284,c_4246]) ).
cnf(c_5912,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_4284,c_5772]) ).
cnf(c_5913,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_5912,c_5772]) ).
cnf(c_5989,plain,
( inverse(sk_c2) != sk_c7
| X0 != sk_c7
| X0 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_3996]) ).
cnf(c_5990,plain,
( inverse(sk_c2) != sk_c7
| sk_c8 != sk_c7
| sk_c8 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_5989]) ).
cnf(c_7139,plain,
( X0 != sk_c6
| sk_c7 != sk_c6
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_3389]) ).
cnf(c_7142,plain,
( sk_c8 != sk_c6
| sk_c7 != sk_c6
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_7139]) ).
cnf(c_7307,plain,
( sk_c8 != identity
| sk_c7 != multiply(identity,sk_c6)
| multiply(sk_c8,sk_c7) = multiply(identity,multiply(identity,sk_c6)) ),
inference(instantiation,[status(thm)],[c_1802]) ).
cnf(c_7492,plain,
( multiply(identity,sk_c6) != sk_c6
| sk_c7 != sk_c6
| sk_c7 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1402]) ).
cnf(c_7539,plain,
( sk_c7 != X0
| identity != X0
| sk_c7 = identity ),
inference(instantiation,[status(thm)],[c_1438]) ).
cnf(c_7541,plain,
( sk_c8 != identity
| sk_c7 != identity
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1529]) ).
cnf(c_7542,plain,
( sk_c7 != sk_c8
| identity != sk_c8
| sk_c7 = identity ),
inference(instantiation,[status(thm)],[c_7539]) ).
cnf(c_7566,plain,
( multiply(sk_c2,sk_c7) != identity
| X0 != identity
| X0 = multiply(sk_c2,sk_c7) ),
inference(instantiation,[status(thm)],[c_3574]) ).
cnf(c_7568,plain,
( multiply(sk_c2,sk_c7) != identity
| sk_c8 != identity
| sk_c8 = multiply(sk_c2,sk_c7) ),
inference(instantiation,[status(thm)],[c_7566]) ).
cnf(c_7605,plain,
( multiply(sk_c5,sk_c6) = identity
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_5906]) ).
cnf(c_8844,plain,
( sk_c6 != inverse(sk_c5)
| identity != inverse(sk_c5)
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_975]) ).
cnf(c_8855,plain,
( sk_c7 != identity
| identity != identity
| identity = sk_c7 ),
inference(instantiation,[status(thm)],[c_4495]) ).
cnf(c_8856,plain,
( inverse(sk_c2) != sk_c7
| identity != sk_c7
| inverse(sk_c2) = identity ),
inference(instantiation,[status(thm)],[c_1696]) ).
cnf(c_9015,plain,
( multiply(sk_c5,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_73,c_2021]) ).
cnf(c_9072,plain,
( inverse(sk_c5) != sk_c7
| sk_c8 != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_9015,c_376]) ).
cnf(c_9088,plain,
( multiply(sk_c5,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_61,c_2022]) ).
cnf(c_9119,plain,
( inverse(sk_c5) != sk_c7
| sk_c8 != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_9088,c_376]) ).
cnf(c_9134,plain,
( inverse(sk_c5) != X0
| identity != X0
| identity = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_2488]) ).
cnf(c_9137,plain,
( inverse(sk_c5) != sk_c8
| identity != sk_c8
| identity = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_9134]) ).
cnf(c_9155,plain,
inverse(sk_c1) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_7605,c_66,c_64,c_62,c_61,c_380,c_775,c_870,c_936,c_941,c_942,c_943,c_1141,c_1166,c_1167,c_1184,c_1341,c_1436,c_1495,c_2411,c_2884,c_3403,c_3454,c_3455,c_4496,c_4903,c_5717,c_7307,c_7492,c_7542,c_9119]) ).
cnf(c_9169,plain,
multiply(sk_c1,multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_9155,c_5911]) ).
cnf(c_9170,plain,
multiply(sk_c1,sk_c8) = identity,
inference(superposition,[status(thm)],[c_9155,c_5906]) ).
cnf(c_9171,plain,
inverse(sk_c8) = sk_c1,
inference(superposition,[status(thm)],[c_9155,c_5913]) ).
cnf(c_9176,plain,
( multiply(sk_c8,sk_c4) = sk_c7
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_56,c_9170]) ).
cnf(c_9210,plain,
inverse(sk_c1) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_993,c_9155]) ).
cnf(c_9216,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c7 ),
inference(demodulation,[status(thm)],[c_1220,c_9210]) ).
cnf(c_9223,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(demodulation,[status(thm)],[c_1222,c_9210]) ).
cnf(c_9224,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c6 ),
inference(demodulation,[status(thm)],[c_1221,c_9210]) ).
cnf(c_9251,plain,
multiply(sk_c1,multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_9210,c_1470]) ).
cnf(c_9252,plain,
multiply(sk_c1,sk_c8) = identity,
inference(superposition,[status(thm)],[c_9210,c_1465]) ).
cnf(c_9253,plain,
inverse(sk_c8) = sk_c1,
inference(superposition,[status(thm)],[c_9210,c_1472]) ).
cnf(c_9255,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm)],[c_9210,c_81]) ).
cnf(c_9258,plain,
( multiply(sk_c5,sk_c6) = sk_c8
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_59,c_9252]) ).
cnf(c_9259,plain,
( multiply(sk_c3,sk_c8) = sk_c4
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_57,c_9252]) ).
cnf(c_9260,plain,
( multiply(sk_c8,sk_c4) = sk_c7
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_56,c_9252]) ).
cnf(c_9261,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_55,c_9252]) ).
cnf(c_9262,plain,
( inverse(sk_c5) = sk_c6
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_60,c_9252]) ).
cnf(c_9263,plain,
( inverse(sk_c3) = sk_c8
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_58,c_9252]) ).
cnf(c_9323,plain,
( inverse(sk_c3) = sk_c8
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_9223,c_52]) ).
cnf(c_9402,plain,
( inverse(sk_c1) != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_9252,c_377]) ).
cnf(c_9407,plain,
( sk_c7 != identity
| ~ sP1_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_9402,c_9210]) ).
cnf(c_9466,plain,
( multiply(sk_c5,sk_c6) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_9262,c_1465]) ).
cnf(c_9497,plain,
( inverse(sk_c8) = sk_c3
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_9263,c_1472]) ).
cnf(c_9500,plain,
( sk_c7 = identity
| sk_c3 = sk_c1 ),
inference(light_normalisation,[status(thm)],[c_9497,c_9253]) ).
cnf(c_9570,plain,
( multiply(sk_c1,sk_c7) = sk_c4
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_9260,c_9251]) ).
cnf(c_9607,plain,
( multiply(inverse(sk_c6),sk_c7) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_9261,c_1196]) ).
cnf(c_9774,plain,
( inverse(sk_c5) = sk_c6
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_9224,c_54]) ).
cnf(c_9958,plain,
( multiply(sk_c1,sk_c8) = sk_c4
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_9500,c_9259]) ).
cnf(c_9974,plain,
( sk_c7 = identity
| sk_c4 = identity ),
inference(light_normalisation,[status(thm)],[c_9958,c_9252]) ).
cnf(c_9996,plain,
( multiply(sk_c8,identity) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_9974,c_9260]) ).
cnf(c_10029,plain,
( multiply(sk_c1,sk_c7) = sk_c4
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_74,c_9169]) ).
cnf(c_10052,plain,
inverse(sk_c2) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_2924,c_78,c_76,c_74,c_73,c_380,c_869,c_936,c_941,c_942,c_943,c_1141,c_1166,c_1167,c_1184,c_1341,c_1436,c_2353,c_2827,c_3314,c_3454,c_3455,c_4496,c_4897,c_5717,c_7307,c_7492,c_7542,c_9072,c_9407]) ).
cnf(c_10064,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(demodulation,[status(thm)],[c_1226,c_10052]) ).
cnf(c_10065,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| inverse(sk_c5) = sk_c6 ),
inference(demodulation,[status(thm)],[c_1225,c_10052]) ).
cnf(c_10091,plain,
multiply(sk_c2,multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_10052,c_1470]) ).
cnf(c_10092,plain,
multiply(sk_c2,sk_c7) = identity,
inference(superposition,[status(thm)],[c_10052,c_1465]) ).
cnf(c_10093,plain,
inverse(sk_c7) = sk_c2,
inference(superposition,[status(thm)],[c_10052,c_1472]) ).
cnf(c_10099,plain,
( multiply(sk_c5,sk_c6) = sk_c8
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_71,c_10092]) ).
cnf(c_10100,plain,
( multiply(sk_c3,sk_c8) = sk_c4
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_69,c_10092]) ).
cnf(c_10101,plain,
( multiply(sk_c8,sk_c4) = sk_c7
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_68,c_10092]) ).
cnf(c_10102,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_67,c_10092]) ).
cnf(c_10103,plain,
( inverse(sk_c5) = sk_c6
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_72,c_10092]) ).
cnf(c_10104,plain,
( inverse(sk_c3) = sk_c8
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_70,c_10092]) ).
cnf(c_10132,plain,
( multiply(sk_c5,sk_c6) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_10103,c_1465]) ).
cnf(c_10160,plain,
( inverse(sk_c8) = sk_c3
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_10104,c_1472]) ).
cnf(c_10163,plain,
( sk_c6 = identity
| sk_c3 = sk_c1 ),
inference(light_normalisation,[status(thm)],[c_10160,c_9253]) ).
cnf(c_10185,plain,
( inverse(sk_c5) != sk_c6
| ~ sP2_iProver_split
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_10099,c_378]) ).
cnf(c_10239,plain,
( multiply(inverse(sk_c6),sk_c7) = sk_c8
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_10102,c_1196]) ).
cnf(c_10240,plain,
( multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_10102,c_82]) ).
cnf(c_10250,plain,
( ~ sP2_iProver_split
| sk_c6 = identity ),
inference(global_subsumption_just,[status(thm)],[c_10185,c_10103,c_10185]) ).
cnf(c_10256,plain,
( sk_c8 != sk_c6
| ~ sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_4909,c_10250]) ).
cnf(c_10314,plain,
( inverse(sk_c2) != sk_c7
| sk_c6 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_10092,c_376]) ).
cnf(c_10317,plain,
( sk_c6 != identity
| ~ sP0_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_10314,c_10052]) ).
cnf(c_10456,plain,
( multiply(inverse(sk_c6),sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_9216,c_1196]) ).
cnf(c_10519,plain,
( multiply(sk_c1,sk_c8) = sk_c4
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_10163,c_10100]) ).
cnf(c_10528,plain,
( sk_c6 = identity
| sk_c4 = identity ),
inference(light_normalisation,[status(thm)],[c_10519,c_9252]) ).
cnf(c_10544,plain,
( multiply(sk_c8,identity) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_10528,c_10101]) ).
cnf(c_10879,plain,
( sk_c8 = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_9466,c_9258]) ).
cnf(c_10902,plain,
( ~ sP1_iProver_split
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_10879,c_9407]) ).
cnf(c_11017,plain,
( ~ sP2_iProver_split
| multiply(sk_c2,sk_c7) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_829,c_829,c_9774,c_10256]) ).
cnf(c_11023,plain,
( ~ sP2_iProver_split
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_831,c_831,c_9774,c_10256]) ).
cnf(c_11029,plain,
( sk_c8 != identity
| ~ sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_835,c_936,c_1335,c_1669,c_7568,c_10092,c_10256,c_11017]) ).
cnf(c_11035,plain,
( sk_c8 != sk_c7
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1406,c_775,c_1436,c_1495,c_3454,c_3455,c_4496,c_7542,c_10902]) ).
cnf(c_11160,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c4,X0)
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_9570,c_82]) ).
cnf(c_11363,plain,
( sk_c8 = sk_c7
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_9996,c_1440]) ).
cnf(c_11372,plain,
( ~ sP1_iProver_split
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_11363,c_11035]) ).
cnf(c_11438,plain,
~ sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_11372,c_775,c_1495,c_11372]) ).
cnf(c_11440,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c6,sk_c8) != sk_c7
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_380,c_11438]) ).
cnf(c_11510,plain,
( inverse(sk_c2) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_5989]) ).
cnf(c_11629,plain,
inverse(sk_c2) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_10029,c_78,c_76,c_74,c_73,c_380,c_869,c_936,c_941,c_942,c_943,c_1141,c_1166,c_1167,c_1184,c_1341,c_1436,c_2353,c_2827,c_3314,c_3454,c_3455,c_4496,c_4897,c_5717,c_7307,c_7492,c_7542,c_9072,c_9407]) ).
cnf(c_11644,plain,
multiply(sk_c2,sk_c7) = identity,
inference(superposition,[status(thm)],[c_11629,c_5906]) ).
cnf(c_12293,plain,
( sk_c8 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_10132,c_10099]) ).
cnf(c_12339,plain,
( ~ sP0_iProver_split
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_12293,c_10317]) ).
cnf(c_12351,plain,
( multiply(X0,identity) != sk_c8
| inverse(X0) != sk_c6
| ~ sP2_iProver_split
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_12293,c_378]) ).
cnf(c_12406,plain,
( inverse(X0) != sk_c6
| X0 != sk_c8
| ~ sP2_iProver_split
| sk_c8 = identity ),
inference(light_normalisation,[status(thm)],[c_12351,c_1440]) ).
cnf(c_12418,plain,
( inverse(sk_c8) != sk_c6
| sk_c8 != sk_c8
| ~ sP2_iProver_split
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_12406]) ).
cnf(c_12717,plain,
( inverse(sk_c2) != sk_c6
| X0 != sk_c6
| X0 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_3996]) ).
cnf(c_12721,plain,
( inverse(sk_c2) != sk_c6
| sk_c8 != sk_c6
| sk_c8 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_12717]) ).
cnf(c_12956,plain,
( inverse(sk_c2) != identity
| sk_c6 != identity
| inverse(sk_c2) = sk_c6 ),
inference(instantiation,[status(thm)],[c_5577]) ).
cnf(c_13066,plain,
( sk_c8 = sk_c7
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_10544,c_1440]) ).
cnf(c_13095,plain,
( ~ sP0_iProver_split
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_13066,c_10317]) ).
cnf(c_13681,plain,
( multiply(sk_c7,X0) = X0
| inverse(sk_c5) = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_1006,c_9251]) ).
cnf(c_13712,plain,
( inverse(sk_c5) = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_13681,c_10065]) ).
cnf(c_13841,plain,
( sk_c8 != inverse(sk_c2)
| sk_c7 != inverse(sk_c2)
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1529]) ).
cnf(c_13855,plain,
( X0 != inverse(sk_c2)
| sk_c6 != inverse(sk_c2)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1316]) ).
cnf(c_13858,plain,
( sk_c8 != inverse(sk_c2)
| sk_c6 != inverse(sk_c2)
| sk_c8 = sk_c6 ),
inference(instantiation,[status(thm)],[c_13855]) ).
cnf(c_13952,plain,
( X0 != inverse(sk_c2)
| sk_c7 != inverse(sk_c2)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_3389]) ).
cnf(c_13955,plain,
( sk_c8 != inverse(sk_c2)
| sk_c7 != inverse(sk_c2)
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_13952]) ).
cnf(c_14331,plain,
( multiply(sk_c7,X0) = X0
| inverse(sk_c3) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_1007,c_9251]) ).
cnf(c_14363,plain,
( inverse(sk_c3) = sk_c8
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_14331,c_10064]) ).
cnf(c_15642,plain,
( sk_c7 != sk_c6
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1622,c_936,c_941,c_977,c_1184,c_1436,c_4496,c_5715,c_8844,c_9137,c_10317,c_12339,c_13095]) ).
cnf(c_15850,plain,
( multiply(sk_c6,X0) = X0
| multiply(sk_c6,sk_c8) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_1009,c_10091]) ).
cnf(c_15885,plain,
( multiply(inverse(sk_c6),sk_c7) = sk_c8
| multiply(sk_c6,X0) = X0 ),
inference(superposition,[status(thm)],[c_15850,c_1196]) ).
cnf(c_15927,plain,
( sk_c8 != sk_c7
| multiply(sk_c6,sk_c8) = sk_c7 ),
inference(equality_factoring,[status(thm)],[c_15850]) ).
cnf(c_15978,plain,
( multiply(inverse(sk_c6),sk_c7) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c8 ),
inference(instantiation,[status(thm)],[c_15885]) ).
cnf(c_16176,plain,
( inverse(sk_c2) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_4991]) ).
cnf(c_16266,plain,
inverse(sk_c5) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_1838,c_78,c_76,c_74,c_73,c_54,c_380,c_728,c_869,c_936,c_941,c_942,c_943,c_1141,c_1166,c_1167,c_1184,c_1341,c_1436,c_2053,c_2353,c_2827,c_3314,c_3454,c_3455,c_4496,c_4897,c_5717,c_7142,c_7307,c_7492,c_7542,c_9072,c_9407,c_9774,c_10256,c_11440,c_13712,c_15927]) ).
cnf(c_16275,plain,
inverse(sk_c6) = sk_c5,
inference(superposition,[status(thm)],[c_16266,c_5913]) ).
cnf(c_16313,plain,
inverse(sk_c3) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_1839,c_78,c_76,c_74,c_73,c_52,c_380,c_729,c_869,c_936,c_941,c_942,c_943,c_1141,c_1166,c_1167,c_1184,c_1341,c_1436,c_2053,c_2353,c_2827,c_3314,c_3454,c_3455,c_4496,c_4897,c_5717,c_7142,c_7307,c_7492,c_7542,c_9072,c_9323,c_9407,c_10256,c_11440,c_14363,c_15927]) ).
cnf(c_16325,plain,
inverse(sk_c8) = sk_c3,
inference(superposition,[status(thm)],[c_16313,c_5913]) ).
cnf(c_16328,plain,
sk_c3 = sk_c1,
inference(light_normalisation,[status(thm)],[c_16325,c_9171]) ).
cnf(c_16392,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_4255,c_78,c_76,c_74,c_73,c_387,c_380,c_869,c_936,c_941,c_942,c_943,c_1141,c_1144,c_1166,c_1167,c_1184,c_1195,c_1205,c_1341,c_1436,c_1754,c_2053,c_2353,c_2535,c_2827,c_3314,c_3454,c_3455,c_4496,c_4897,c_5717,c_7307,c_7492,c_7542,c_8855,c_8856,c_9072,c_9407,c_9607,c_10239,c_10256,c_10317,c_10456,c_11438,c_11510,c_12721,c_12956,c_13841,c_13955,c_15978]) ).
cnf(c_16394,plain,
multiply(sk_c5,sk_c7) = sk_c8,
inference(light_normalisation,[status(thm)],[c_16392,c_16275]) ).
cnf(c_16395,plain,
multiply(inverse(sk_c5),sk_c8) = sk_c7,
inference(superposition,[status(thm)],[c_16394,c_4246]) ).
cnf(c_16396,plain,
multiply(sk_c5,multiply(sk_c7,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_16394,c_82]) ).
cnf(c_16398,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(light_normalisation,[status(thm)],[c_16395,c_16266]) ).
cnf(c_16433,plain,
( multiply(sk_c8,sk_c4) = sk_c8
| sk_c7 = identity ),
inference(light_normalisation,[status(thm)],[c_4260,c_9155,c_9170,c_16328]) ).
cnf(c_16444,plain,
( sk_c8 = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_16433,c_9176]) ).
cnf(c_16510,plain,
( sk_c7 = sk_c6
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_4264,c_11644,c_16266,c_16398]) ).
cnf(c_16519,plain,
( ~ sP0_iProver_split
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_16510,c_15642]) ).
cnf(c_16567,plain,
multiply(inverse(sk_c5),multiply(sk_c8,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_16396,c_4246]) ).
cnf(c_16571,plain,
multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c7,X0),
inference(light_normalisation,[status(thm)],[c_16567,c_16266]) ).
cnf(c_16590,plain,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_16519,c_10317,c_16519]) ).
cnf(c_16872,plain,
multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c7,X0),
inference(global_subsumption_just,[status(thm)],[c_10240,c_16571]) ).
cnf(c_16884,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c6)
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_54,c_16872]) ).
cnf(c_16901,plain,
multiply(sk_c7,identity) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm)],[c_1440,c_16872]) ).
cnf(c_16905,plain,
multiply(sk_c7,sk_c1) = multiply(sk_c6,identity),
inference(superposition,[status(thm)],[c_9255,c_16872]) ).
cnf(c_16987,plain,
inverse(sk_c5) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_16884,c_16266]) ).
cnf(c_17006,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm)],[c_16987,c_1465]) ).
cnf(c_17007,plain,
inverse(sk_c6) = sk_c5,
inference(superposition,[status(thm)],[c_16987,c_1472]) ).
cnf(c_17101,plain,
multiply(inverse(sk_c5),identity) = sk_c6,
inference(superposition,[status(thm)],[c_17006,c_1196]) ).
cnf(c_17104,plain,
multiply(sk_c7,sk_c1) = sk_c6,
inference(light_normalisation,[status(thm)],[c_17101,c_16987,c_16905]) ).
cnf(c_17118,plain,
multiply(sk_c2,sk_c6) = sk_c1,
inference(superposition,[status(thm)],[c_17104,c_10091]) ).
cnf(c_17363,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(demodulation,[status(thm)],[c_16901,c_1440]) ).
cnf(c_17443,plain,
sk_c7 = identity,
inference(global_subsumption_just,[status(thm)],[c_11160,c_1436,c_3454,c_3455,c_4496,c_7542,c_10879,c_16444]) ).
cnf(c_17447,plain,
multiply(sk_c6,sk_c8) = identity,
inference(demodulation,[status(thm)],[c_17363,c_17443]) ).
cnf(c_17452,plain,
multiply(identity,sk_c1) = sk_c6,
inference(demodulation,[status(thm)],[c_17104,c_17443]) ).
cnf(c_17469,plain,
( ~ sP2_iProver_split
| multiply(sk_c8,identity) = sk_c6 ),
inference(demodulation,[status(thm)],[c_11023,c_17443]) ).
cnf(c_17477,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm)],[c_10093,c_17443]) ).
cnf(c_17485,plain,
( sk_c8 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_2053,c_17443]) ).
cnf(c_17489,plain,
sk_c2 = identity,
inference(light_normalisation,[status(thm)],[c_17477,c_1448]) ).
cnf(c_17537,plain,
multiply(identity,sk_c6) = sk_c1,
inference(demodulation,[status(thm)],[c_17118,c_17489]) ).
cnf(c_17558,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm)],[c_17452,c_80]) ).
cnf(c_17565,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm)],[c_9210,c_17558]) ).
cnf(c_17566,plain,
sk_c8 = sk_c5,
inference(light_normalisation,[status(thm)],[c_17565,c_17007]) ).
cnf(c_17567,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm)],[c_17007,c_17566]) ).
cnf(c_17605,plain,
~ sP2_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_17469,c_78,c_76,c_74,c_73,c_54,c_387,c_380,c_728,c_869,c_936,c_941,c_942,c_943,c_1141,c_1155,c_1166,c_1167,c_1184,c_1341,c_1436,c_2053,c_2353,c_2827,c_3314,c_3454,c_3455,c_4496,c_4838,c_4897,c_5717,c_7142,c_7307,c_7492,c_7542,c_9072,c_9407,c_9774,c_10256,c_11029,c_11440,c_12418,c_13712,c_15927,c_17566]) ).
cnf(c_17630,plain,
( inverse(identity) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_12293,c_17567]) ).
cnf(c_17636,plain,
sk_c8 = identity,
inference(light_normalisation,[status(thm)],[c_17630,c_1448]) ).
cnf(c_17642,plain,
multiply(sk_c6,identity) = identity,
inference(demodulation,[status(thm)],[c_17447,c_17636]) ).
cnf(c_17643,plain,
sk_c6 = identity,
inference(light_normalisation,[status(thm)],[c_17642,c_16905,c_17443,c_17537,c_17558]) ).
cnf(c_17648,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_17636,c_17643,c_17605,c_17485,c_17443,c_16590,c_16398,c_16266,c_16176,c_13858,c_12956,c_11438,c_10052,c_8856,c_8855,c_7541,c_5990,c_4496,c_4148,c_3990,c_3989,c_3390,c_1971,c_1436,c_1302,c_1148,c_1147,c_941,c_936,c_380,c_387]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP290-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.15/0.34 % Computer : n008.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Aug 29 01:20:47 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.29/1.17 % SZS status Started for theBenchmark.p
% 4.29/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 4.29/1.17
% 4.29/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.29/1.17
% 4.29/1.17 ------ iProver source info
% 4.29/1.17
% 4.29/1.17 git: date: 2023-05-31 18:12:56 +0000
% 4.29/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.29/1.17 git: non_committed_changes: false
% 4.29/1.17 git: last_make_outside_of_git: false
% 4.29/1.17
% 4.29/1.17 ------ Parsing...successful
% 4.29/1.17
% 4.29/1.17
% 4.29/1.17
% 4.29/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.29/1.17
% 4.29/1.17 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.29/1.17
% 4.29/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.29/1.17 ------ Proving...
% 4.29/1.17 ------ Problem Properties
% 4.29/1.17
% 4.29/1.17
% 4.29/1.17 clauses 38
% 4.29/1.17 conjectures 35
% 4.29/1.17 EPR 0
% 4.29/1.17 Horn 7
% 4.29/1.17 unary 3
% 4.29/1.17 binary 30
% 4.29/1.17 lits 81
% 4.29/1.17 lits eq 73
% 4.29/1.17 fd_pure 0
% 4.29/1.17 fd_pseudo 0
% 4.29/1.17 fd_cond 0
% 4.29/1.17 fd_pseudo_cond 0
% 4.29/1.17 AC symbols 0
% 4.29/1.17
% 4.29/1.17 ------ Schedule dynamic 5 is on
% 4.29/1.17
% 4.29/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.29/1.17
% 4.29/1.17
% 4.29/1.17 ------
% 4.29/1.17 Current options:
% 4.29/1.17 ------
% 4.29/1.17
% 4.29/1.17
% 4.29/1.17
% 4.29/1.17
% 4.29/1.17 ------ Proving...
% 4.29/1.17
% 4.29/1.17
% 4.29/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 4.29/1.17
% 4.29/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.29/1.18
% 4.29/1.18
%------------------------------------------------------------------------------