TSTP Solution File: GRP279-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP279-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 00:59:05 EDT 2023
% Result : Unsatisfiable 11.01s 2.18s
% Output : CNFRefutation 11.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 34
% Syntax : Number of clauses : 304 ( 66 unt; 117 nHn; 250 RR)
% Number of literals : 691 ( 603 equ; 276 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 160 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c5) = sk_c7 ),
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_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c2,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,X1) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c6) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X0) != X1
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c7 ),
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(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c7) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c6) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c7 ),
inference(unflattening,[status(thm)],[c_79]) ).
cnf(c_376,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ 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_c7
| 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(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c7) != sk_c8
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_83]) ).
cnf(c_380,negated_conjecture,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c8) != sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).
cnf(c_381,plain,
X0 = X0,
theory(equality) ).
cnf(c_382,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_383,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_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_606,plain,
( multiply(sk_c8,sk_c1) = identity
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_62,c_81]) ).
cnf(c_726,plain,
( inverse(sk_c4) != sk_c8
| ~ sP0_iProver_split
| multiply(sk_c3,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_76,c_376]) ).
cnf(c_728,plain,
( inverse(sk_c4) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c3 ),
inference(superposition,[status(thm)],[c_71,c_376]) ).
cnf(c_729,plain,
( inverse(sk_c4) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_61,c_376]) ).
cnf(c_733,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c7
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_376]) ).
cnf(c_782,plain,
( inverse(sk_c1) != sk_c8
| ~ sP1_iProver_split
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_57,c_377]) ).
cnf(c_783,plain,
( inverse(sk_c1) != sk_c8
| ~ sP1_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_55,c_377]) ).
cnf(c_785,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_377]) ).
cnf(c_825,plain,
( inverse(sk_c5) != sk_c7
| ~ sP2_iProver_split
| multiply(sk_c3,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_78,c_378]) ).
cnf(c_827,plain,
( inverse(sk_c5) != sk_c7
| ~ sP2_iProver_split
| inverse(sk_c2) = sk_c3 ),
inference(superposition,[status(thm)],[c_73,c_378]) ).
cnf(c_828,plain,
( inverse(sk_c5) != sk_c7
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_63,c_378]) ).
cnf(c_855,plain,
( multiply(sk_c7,inverse(sk_c7)) != sk_c8
| sk_c8 != identity
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_379]) ).
cnf(c_879,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_893,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| inverse(sk_c5) = sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_52,c_380]) ).
cnf(c_894,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| inverse(sk_c4) = sk_c8
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_50,c_380]) ).
cnf(c_907,plain,
( multiply(sk_c8,sk_c7) != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_879]) ).
cnf(c_908,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c8,sk_c7),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_909,plain,
( multiply(sk_c8,sk_c7) != X0
| X1 != X0
| multiply(sk_c8,sk_c7) = X1 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_921,plain,
( multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_50,c_82]) ).
cnf(c_935,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_54,c_82]) ).
cnf(c_936,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_57,c_82]) ).
cnf(c_937,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_55,c_82]) ).
cnf(c_941,plain,
( multiply(sk_c2,multiply(sk_c3,X0)) = multiply(sk_c8,X0)
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_67,c_82]) ).
cnf(c_942,plain,
( multiply(sk_c2,multiply(sk_c3,X0)) = multiply(sk_c8,X0)
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_65,c_82]) ).
cnf(c_947,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_950,plain,
( multiply(sk_c8,multiply(sk_c1,X0)) = multiply(identity,X0)
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_606,c_82]) ).
cnf(c_963,plain,
( multiply(sk_c8,multiply(sk_c1,X0)) = X0
| inverse(sk_c5) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_950,c_80]) ).
cnf(c_1065,plain,
( multiply(sk_c8,sk_c7) != X0
| sk_c6 != X0
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1073,plain,
( multiply(sk_c8,sk_c7) != multiply(sk_c8,sk_c7)
| X0 != multiply(sk_c8,sk_c7)
| multiply(sk_c8,sk_c7) = X0 ),
inference(instantiation,[status(thm)],[c_909]) ).
cnf(c_1075,plain,
( multiply(X0,X1) != X2
| sk_c6 != X2
| sk_c6 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1078,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1079,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1082,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1083,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1089,plain,
( multiply(X0,X1) != multiply(sk_c8,sk_c7)
| multiply(sk_c8,sk_c7) != multiply(sk_c8,sk_c7)
| multiply(sk_c8,sk_c7) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1073]) ).
cnf(c_1090,plain,
( X0 != sk_c8
| X1 != sk_c7
| multiply(X0,X1) = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_383]) ).
cnf(c_1100,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1079]) ).
cnf(c_1106,plain,
multiply(identity,multiply(X0,sk_c7)) = multiply(X0,sk_c7),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1108,plain,
( multiply(X0,sk_c7) != X1
| X2 != X1
| X2 = multiply(X0,sk_c7) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1110,plain,
( X0 != X1
| X2 != sk_c7
| multiply(X0,X2) = multiply(X1,sk_c7) ),
inference(instantiation,[status(thm)],[c_383]) ).
cnf(c_1113,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_947,c_80]) ).
cnf(c_1121,plain,
( multiply(inverse(sk_c7),sk_c6) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_59,c_1113]) ).
cnf(c_1122,plain,
( multiply(inverse(sk_c7),sk_c6) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_49,c_1113]) ).
cnf(c_1126,plain,
( multiply(inverse(sk_c4),sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_61,c_1113]) ).
cnf(c_1128,plain,
( multiply(inverse(sk_c5),sk_c7) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_53,c_1113]) ).
cnf(c_1133,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_54,c_1113]) ).
cnf(c_1134,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_57,c_1113]) ).
cnf(c_1135,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_55,c_1113]) ).
cnf(c_1144,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_1113]) ).
cnf(c_1145,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_1113]) ).
cnf(c_1146,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_82,c_1113]) ).
cnf(c_1151,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1113,c_1113]) ).
cnf(c_1221,plain,
( multiply(X0,X1) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1075]) ).
cnf(c_1229,plain,
( multiply(sk_c5,sk_c6) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(instantiation,[status(thm)],[c_1100]) ).
cnf(c_1230,plain,
( multiply(identity,sk_c7) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_1100]) ).
cnf(c_1231,plain,
multiply(identity,sk_c7) = sk_c7,
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1233,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1239,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_1083]) ).
cnf(c_1240,plain,
( sk_c8 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1239]) ).
cnf(c_1270,plain,
( X0 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1079]) ).
cnf(c_1273,plain,
( sk_c8 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1270]) ).
cnf(c_1332,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1145,c_1151]) ).
cnf(c_1340,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1332,c_1144]) ).
cnf(c_1403,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1151,c_81]) ).
cnf(c_1407,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1151,c_1113]) ).
cnf(c_1408,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1151,c_1332]) ).
cnf(c_1409,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1408,c_1332]) ).
cnf(c_1431,plain,
( multiply(inverse(X0),sk_c7) != sk_c8
| sk_c8 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_379,c_1403]) ).
cnf(c_1436,plain,
inverse(inverse(sk_c8)) = sk_c8,
inference(instantiation,[status(thm)],[c_1409]) ).
cnf(c_1445,plain,
( multiply(inverse(sk_c8),sk_c7) != sk_c8
| sk_c8 != identity
| ~ sP3_iProver_split ),
inference(instantiation,[status(thm)],[c_1431]) ).
cnf(c_1450,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_1221]) ).
cnf(c_1487,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| X0 != identity
| X0 = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_1108]) ).
cnf(c_1488,plain,
multiply(inverse(sk_c7),sk_c7) = identity,
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_1489,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| sk_c8 != identity
| sk_c8 = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_1487]) ).
cnf(c_1495,plain,
( multiply(X0,sk_c7) != X1
| X2 != X1
| multiply(X0,sk_c7) = X2 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1497,plain,
( X0 != X1
| sk_c7 != X2
| multiply(X0,sk_c7) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_383]) ).
cnf(c_1745,plain,
( X0 != X1
| sk_c7 != sk_c7
| multiply(X0,sk_c7) = multiply(X1,sk_c7) ),
inference(instantiation,[status(thm)],[c_1110]) ).
cnf(c_1761,plain,
( X0 != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1079]) ).
cnf(c_1829,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_62,c_1403]) ).
cnf(c_1830,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_60,c_1403]) ).
cnf(c_1831,plain,
( multiply(sk_c2,sk_c3) = identity
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_72,c_1403]) ).
cnf(c_1832,plain,
( multiply(sk_c2,sk_c3) = identity
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_70,c_1403]) ).
cnf(c_1838,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1403,c_82]) ).
cnf(c_1865,plain,
( X0 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1233]) ).
cnf(c_1866,plain,
( sk_c8 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1865]) ).
cnf(c_1872,plain,
( X0 != X1
| sk_c6 != X1
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1885,plain,
( multiply(sk_c8,sk_c7) != multiply(sk_c7,sk_c8)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_1065]) ).
cnf(c_1924,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = X0
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_62,c_1407]) ).
cnf(c_1925,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = X0
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_60,c_1407]) ).
cnf(c_1926,plain,
( multiply(sk_c2,multiply(sk_c3,X0)) = X0
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_72,c_1407]) ).
cnf(c_1927,plain,
( multiply(sk_c2,multiply(sk_c3,X0)) = X0
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_70,c_1407]) ).
cnf(c_2140,plain,
( inverse(sk_c5) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1829,c_57]) ).
cnf(c_2194,plain,
( inverse(sk_c4) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1830,c_55]) ).
cnf(c_2210,plain,
( multiply(sk_c5,sk_c6) != X0
| X1 != X0
| X1 = multiply(sk_c5,sk_c6) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_2211,plain,
( multiply(sk_c5,sk_c6) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(instantiation,[status(thm)],[c_2210]) ).
cnf(c_2250,plain,
( inverse(sk_c5) = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1831,c_67]) ).
cnf(c_2345,plain,
( inverse(sk_c4) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1832,c_65]) ).
cnf(c_2394,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c6) = multiply(sk_c6,sk_c8)
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_49,c_921]) ).
cnf(c_2617,plain,
( multiply(identity,multiply(identity,sk_c7)) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c7 = multiply(identity,multiply(identity,sk_c7)) ),
inference(instantiation,[status(thm)],[c_1761]) ).
cnf(c_2618,plain,
multiply(identity,multiply(identity,sk_c7)) = multiply(identity,sk_c7),
inference(instantiation,[status(thm)],[c_1106]) ).
cnf(c_2771,plain,
( multiply(sk_c3,sk_c7) != sk_c8
| X0 != sk_c8
| X0 = multiply(sk_c3,sk_c7) ),
inference(instantiation,[status(thm)],[c_1108]) ).
cnf(c_2772,plain,
( multiply(sk_c3,sk_c7) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(instantiation,[status(thm)],[c_2771]) ).
cnf(c_2783,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_62,c_1134]) ).
cnf(c_2849,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_2944,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != sk_c6
| inverse(sk_c5) = sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_2783,c_380]) ).
cnf(c_2945,plain,
( inverse(sk_c5) = sk_c7
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_2783,c_52]) ).
cnf(c_3032,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_60,c_1135]) ).
cnf(c_3164,plain,
( multiply(sk_c5,multiply(sk_c6,inverse(sk_c7))) = identity
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_63,c_1838]) ).
cnf(c_3439,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| sk_c7 != identity
| sk_c7 = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_1487]) ).
cnf(c_3440,plain,
( X0 != multiply(inverse(sk_c7),sk_c7)
| sk_c7 != multiply(inverse(sk_c7),sk_c7)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1233]) ).
cnf(c_3445,plain,
( sk_c8 != multiply(inverse(sk_c7),sk_c7)
| sk_c7 != multiply(inverse(sk_c7),sk_c7)
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_3440]) ).
cnf(c_3575,plain,
( multiply(X0,sk_c7) != multiply(X1,sk_c7)
| X2 != multiply(X1,sk_c7)
| multiply(X0,sk_c7) = X2 ),
inference(instantiation,[status(thm)],[c_1495]) ).
cnf(c_3581,plain,
( X0 != X1
| sk_c7 != multiply(identity,sk_c7)
| multiply(X0,sk_c7) = multiply(X1,multiply(identity,sk_c7)) ),
inference(instantiation,[status(thm)],[c_1497]) ).
cnf(c_3734,plain,
( inverse(sk_c4) = sk_c8
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_3032,c_50]) ).
cnf(c_3937,plain,
( X0 != multiply(sk_c3,sk_c7)
| sk_c7 != multiply(sk_c3,sk_c7)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1233]) ).
cnf(c_3942,plain,
( sk_c8 != multiply(sk_c3,sk_c7)
| sk_c7 != multiply(sk_c3,sk_c7)
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_3937]) ).
cnf(c_4028,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2849,c_80]) ).
cnf(c_4059,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_4028]) ).
cnf(c_4060,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_4028]) ).
cnf(c_4066,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4028,c_4028]) ).
cnf(c_4341,plain,
( sk_c8 != sk_c7
| sk_c8 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_733,c_1340]) ).
cnf(c_4354,plain,
( ~ sP1_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_783,c_785,c_1436,c_2194]) ).
cnf(c_5212,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_5213,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_5214,plain,
( sk_c8 != sk_c8
| identity != sk_c8
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_5213]) ).
cnf(c_5488,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_4060,c_4066]) ).
cnf(c_5496,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_5488,c_4059]) ).
cnf(c_5542,plain,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_52,c_1924]) ).
cnf(c_5613,plain,
( inverse(sk_c1) != sk_c7
| ~ sP2_iProver_split
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_5542,c_378]) ).
cnf(c_5628,plain,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_50,c_1925]) ).
cnf(c_5667,plain,
( inverse(sk_c1) != sk_c7
| ~ sP2_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_5628,c_378]) ).
cnf(c_6060,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_1403,c_1146]) ).
cnf(c_6143,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_6060,c_1332]) ).
cnf(c_6980,plain,
( X0 != multiply(identity,multiply(identity,sk_c7))
| sk_c7 != multiply(identity,multiply(identity,sk_c7))
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1079]) ).
cnf(c_7255,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_7257,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| identity != identity
| identity = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_1487]) ).
cnf(c_7543,plain,
( multiply(X0,sk_c7) != multiply(inverse(sk_c7),sk_c7)
| X1 != multiply(inverse(sk_c7),sk_c7)
| multiply(X0,sk_c7) = X1 ),
inference(instantiation,[status(thm)],[c_3575]) ).
cnf(c_7679,plain,
( X0 != identity
| sk_c7 != multiply(identity,sk_c7)
| multiply(X0,sk_c7) = multiply(identity,multiply(identity,sk_c7)) ),
inference(instantiation,[status(thm)],[c_3581]) ).
cnf(c_7710,plain,
( X0 != inverse(sk_c7)
| sk_c7 != sk_c7
| multiply(X0,sk_c7) = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_1745]) ).
cnf(c_8038,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_1113,c_6143]) ).
cnf(c_8888,plain,
( sk_c8 != sk_c7
| ~ sP2_iProver_split
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_62,c_5613]) ).
cnf(c_8901,plain,
( ~ sP2_iProver_split
| inverse(sk_c5) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_8888,c_1489,c_1488,c_2140,c_2250,c_3439,c_3445,c_8888]) ).
cnf(c_8915,plain,
( sk_c8 != sk_c7
| ~ sP2_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_60,c_5667]) ).
cnf(c_8923,plain,
( ~ sP2_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_8915,c_1489,c_1488,c_2194,c_2345,c_3439,c_3445,c_8915]) ).
cnf(c_9779,plain,
( ~ sP0_iProver_split
| multiply(sk_c3,sk_c7) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_726,c_75,c_726]) ).
cnf(c_9889,plain,
( sk_c7 != identity
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_785,c_785,c_1436]) ).
cnf(c_9895,plain,
( ~ sP2_iProver_split
| multiply(sk_c3,sk_c7) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_825,c_825,c_1489,c_1488,c_2140,c_2250,c_3439,c_3445,c_8888]) ).
cnf(c_10665,plain,
( multiply(sk_c5,multiply(multiply(sk_c6,inverse(sk_c7)),X0)) = multiply(identity,X0)
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_3164,c_82]) ).
cnf(c_10680,plain,
( multiply(sk_c5,multiply(multiply(sk_c6,inverse(sk_c7)),X0)) = X0
| inverse(sk_c1) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_10665,c_80]) ).
cnf(c_14286,plain,
( multiply(sk_c8,sk_c7) != multiply(sk_c8,sk_c7)
| multiply(sk_c7,sk_c8) != multiply(sk_c8,sk_c7)
| multiply(sk_c8,sk_c7) = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_1089]) ).
cnf(c_14444,plain,
( sk_c8 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_855,c_1403]) ).
cnf(c_14459,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c6)
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_52,c_936]) ).
cnf(c_14483,plain,
( multiply(sk_c7,X0) = X0
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_936,c_1924]) ).
cnf(c_14725,plain,
( multiply(sk_c7,X0) = X0
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_937,c_1925]) ).
cnf(c_14896,plain,
( multiply(sk_c8,X0) = X0
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_941,c_1926]) ).
cnf(c_15303,plain,
( multiply(sk_c3,sk_c7) != multiply(identity,multiply(identity,sk_c7))
| sk_c7 != multiply(identity,multiply(identity,sk_c7))
| sk_c7 = multiply(sk_c3,sk_c7) ),
inference(instantiation,[status(thm)],[c_6980]) ).
cnf(c_15328,plain,
( sk_c7 != multiply(identity,sk_c7)
| sk_c3 != identity
| multiply(sk_c3,sk_c7) = multiply(identity,multiply(identity,sk_c7)) ),
inference(instantiation,[status(thm)],[c_7679]) ).
cnf(c_15364,plain,
( multiply(sk_c8,X0) = X0
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_942,c_1927]) ).
cnf(c_17861,plain,
( inverse(sk_c3) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_376]) ).
cnf(c_17862,plain,
( inverse(sk_c3) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_75,c_376]) ).
cnf(c_17863,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c7
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_376]) ).
cnf(c_17865,plain,
( sk_c8 != sk_c7
| sk_c8 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_17863,c_5496]) ).
cnf(c_17915,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c7
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_377]) ).
cnf(c_17917,plain,
( sk_c8 != sk_c7
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_17915,c_5496]) ).
cnf(c_19080,plain,
( ~ sP0_iProver_split
| inverse(sk_c5) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_17861,c_1489,c_1488,c_2140,c_2250,c_3439,c_3445,c_17865]) ).
cnf(c_19086,plain,
( ~ sP0_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_17862,c_1489,c_1488,c_2194,c_2345,c_3439,c_3445,c_17865]) ).
cnf(c_19923,plain,
( inverse(sk_c5) = sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| sP3_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_893,c_62,c_52,c_380,c_782,c_8901,c_19080]) ).
cnf(c_19924,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| inverse(sk_c5) = sk_c7
| sP3_iProver_split ),
inference(renaming,[status(thm)],[c_19923]) ).
cnf(c_19934,plain,
( inverse(sk_c4) = sk_c8
| multiply(sk_c7,sk_c8) != sk_c6
| sP3_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_894,c_894,c_4354,c_8923,c_19086]) ).
cnf(c_19935,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| inverse(sk_c4) = sk_c8
| sP3_iProver_split ),
inference(renaming,[status(thm)],[c_19934]) ).
cnf(c_21952,plain,
( inverse(X0) != inverse(sk_c7)
| sk_c7 != sk_c7
| multiply(inverse(X0),sk_c7) = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_7710]) ).
cnf(c_21953,plain,
( X0 != sk_c7
| inverse(X0) = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_21954,plain,
( inverse(sk_c8) != inverse(sk_c7)
| sk_c7 != sk_c7
| multiply(inverse(sk_c8),sk_c7) = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_21952]) ).
cnf(c_21955,plain,
( sk_c8 != sk_c7
| inverse(sk_c8) = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_21953]) ).
cnf(c_22205,plain,
( sk_c8 != sk_c6
| inverse(sk_c5) = sk_c7
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_14483,c_19924]) ).
cnf(c_23697,plain,
( sk_c8 != sk_c6
| inverse(sk_c4) = sk_c8
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_14725,c_19935]) ).
cnf(c_23820,plain,
( inverse(sk_c5) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_14896,c_2783]) ).
cnf(c_23855,plain,
( multiply(sk_c1,X0) = X0
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_14896,c_963]) ).
cnf(c_24800,plain,
( X0 != sk_c7
| identity != sk_c7
| identity = X0 ),
inference(instantiation,[status(thm)],[c_7255]) ).
cnf(c_24802,plain,
( sk_c7 != multiply(inverse(sk_c7),sk_c7)
| identity != multiply(inverse(sk_c7),sk_c7)
| identity = sk_c7 ),
inference(instantiation,[status(thm)],[c_3440]) ).
cnf(c_24811,plain,
( sk_c8 != sk_c7
| identity != sk_c7
| identity = sk_c8 ),
inference(instantiation,[status(thm)],[c_24800]) ).
cnf(c_25959,plain,
( multiply(X0,sk_c7) != multiply(inverse(sk_c7),sk_c7)
| sk_c8 != multiply(inverse(sk_c7),sk_c7)
| multiply(X0,sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_7543]) ).
cnf(c_26674,plain,
( multiply(sk_c7,sk_c8) != X0
| sk_c6 != X0
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1872]) ).
cnf(c_26675,plain,
( multiply(sk_c7,sk_c8) != sk_c8
| sk_c6 != sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(instantiation,[status(thm)],[c_26674]) ).
cnf(c_27641,plain,
( sk_c8 != sk_c7
| sk_c7 != sk_c8
| multiply(sk_c7,sk_c8) = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_1090]) ).
cnf(c_28159,plain,
( inverse(sk_c4) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_15364,c_3032]) ).
cnf(c_37902,plain,
( multiply(sk_c7,sk_c7) = sk_c6
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_23855,c_14459]) ).
cnf(c_40355,plain,
( multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_37902,c_82]) ).
cnf(c_40817,plain,
( multiply(sk_c6,X0) = X0
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_14483,c_40355]) ).
cnf(c_42702,plain,
( multiply(sk_c6,multiply(X0,X1)) = multiply(X0,X1)
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_40817,c_82]) ).
cnf(c_44747,plain,
( multiply(inverse(X0),sk_c7) != multiply(inverse(sk_c7),sk_c7)
| sk_c8 != multiply(inverse(sk_c7),sk_c7)
| multiply(inverse(X0),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_25959]) ).
cnf(c_44748,plain,
( multiply(inverse(sk_c8),sk_c7) != multiply(inverse(sk_c7),sk_c7)
| sk_c8 != multiply(inverse(sk_c7),sk_c7)
| multiply(inverse(sk_c8),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_44747]) ).
cnf(c_44876,plain,
inverse(sk_c5) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_42702,c_1078,c_1445,c_1489,c_1488,c_2250,c_2945,c_21954,c_21955,c_22205,c_23820,c_44748]) ).
cnf(c_44934,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c7) = sk_c6 ),
inference(demodulation,[status(thm)],[c_1128,c_44876]) ).
cnf(c_44975,plain,
multiply(sk_c5,multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_44876,c_1407]) ).
cnf(c_44976,plain,
multiply(sk_c5,sk_c7) = identity,
inference(superposition,[status(thm)],[c_44876,c_1403]) ).
cnf(c_44977,plain,
inverse(sk_c7) = sk_c5,
inference(superposition,[status(thm)],[c_44876,c_1409]) ).
cnf(c_44978,plain,
multiply(sk_c7,multiply(sk_c5,X0)) = X0,
inference(superposition,[status(thm)],[c_44876,c_1113]) ).
cnf(c_45029,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c8 ),
inference(demodulation,[status(thm)],[c_1122,c_44977]) ).
cnf(c_45030,plain,
( multiply(sk_c5,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(demodulation,[status(thm)],[c_1121,c_44977]) ).
cnf(c_45987,plain,
inverse(sk_c4) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_2394,c_1078,c_1445,c_1489,c_1488,c_2345,c_3734,c_21954,c_21955,c_23697,c_28159,c_44748]) ).
cnf(c_46043,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(demodulation,[status(thm)],[c_1126,c_45987]) ).
cnf(c_46073,plain,
multiply(sk_c4,multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_45987,c_1407]) ).
cnf(c_46074,plain,
multiply(sk_c4,sk_c8) = identity,
inference(superposition,[status(thm)],[c_45987,c_1403]) ).
cnf(c_46493,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_44934,c_53,c_49,c_387,c_907,c_908,c_1078,c_1082,c_1229,c_1273,c_1450,c_1866,c_1885,c_2211,c_14286,c_27641,c_45029]) ).
cnf(c_46505,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c6 != sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_380,c_46493]) ).
cnf(c_46508,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_46505]) ).
cnf(c_46517,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(superposition,[status(thm)],[c_46493,c_46073]) ).
cnf(c_46675,plain,
( inverse(sk_c4) != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_46517,c_378]) ).
cnf(c_46677,plain,
multiply(inverse(sk_c6),inverse(sk_c4)) = inverse(sk_c7),
inference(superposition,[status(thm)],[c_46517,c_8038]) ).
cnf(c_46679,plain,
( sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_46675,c_45987]) ).
cnf(c_46682,plain,
multiply(inverse(sk_c6),sk_c8) = sk_c5,
inference(light_normalisation,[status(thm)],[c_46677,c_44977,c_45987]) ).
cnf(c_46697,plain,
multiply(sk_c6,sk_c5) = sk_c8,
inference(superposition,[status(thm)],[c_46682,c_1407]) ).
cnf(c_47423,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = X0
| inverse(sk_c1) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_10680,c_44977,c_46697]) ).
cnf(c_47431,plain,
( multiply(sk_c5,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_46043,c_47423]) ).
cnf(c_47445,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = identity ),
inference(light_normalisation,[status(thm)],[c_47431,c_44976]) ).
cnf(c_47474,plain,
inverse(sk_c1) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_47445,c_63,c_59,c_387,c_380,c_729,c_828,c_1078,c_1229,c_1445,c_1489,c_1488,c_1866,c_2211,c_17917,c_21954,c_21955,c_44748,c_44876,c_45030,c_45987,c_46493,c_47445]) ).
cnf(c_47490,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(demodulation,[status(thm)],[c_1133,c_47474]) ).
cnf(c_47505,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_47490,c_46493]) ).
cnf(c_47511,plain,
multiply(sk_c1,multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_47474,c_1407]) ).
cnf(c_47512,plain,
multiply(sk_c1,sk_c8) = identity,
inference(superposition,[status(thm)],[c_47474,c_1403]) ).
cnf(c_47538,plain,
( multiply(sk_c7,X0) = X0
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(demodulation,[status(thm)],[c_935,c_47511]) ).
cnf(c_47547,plain,
( multiply(sk_c5,sk_c6) = sk_c7
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_58,c_47512]) ).
cnf(c_47548,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_56,c_47512]) ).
cnf(c_47549,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_54,c_47512]) ).
cnf(c_47573,plain,
( multiply(sk_c7,sk_c8) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(instantiation,[status(thm)],[c_47538]) ).
cnf(c_47588,plain,
( inverse(sk_c5) != sk_c7
| ~ sP2_iProver_split
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_47547,c_378]) ).
cnf(c_47589,plain,
( multiply(sk_c7,sk_c7) = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_47547,c_44978]) ).
cnf(c_47594,plain,
( ~ sP2_iProver_split
| sk_c7 = identity ),
inference(forward_subsumption_resolution,[status(thm)],[c_47588,c_44876]) ).
cnf(c_47609,plain,
( inverse(sk_c4) != sk_c8
| ~ sP0_iProver_split
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_47548,c_376]) ).
cnf(c_47616,plain,
( ~ sP0_iProver_split
| sk_c7 = identity ),
inference(forward_subsumption_resolution,[status(thm)],[c_47609,c_45987]) ).
cnf(c_47627,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_47549,c_1082,c_1240,c_26675,c_47505,c_47573]) ).
cnf(c_47640,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(superposition,[status(thm)],[c_47627,c_44975]) ).
cnf(c_47657,plain,
( sk_c8 = sk_c7
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_47547,c_47640]) ).
cnf(c_47661,plain,
( multiply(sk_c3,sk_c7) = sk_c8
| sk_c8 = sk_c7 ),
inference(demodulation,[status(thm)],[c_78,c_47640]) ).
cnf(c_47662,plain,
( multiply(sk_c2,sk_c3) = sk_c8
| sk_c8 = sk_c7 ),
inference(demodulation,[status(thm)],[c_68,c_47640]) ).
cnf(c_47663,plain,
( inverse(sk_c2) = sk_c3
| sk_c8 = sk_c7 ),
inference(demodulation,[status(thm)],[c_73,c_47640]) ).
cnf(c_48102,plain,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_2944,c_1082,c_1240,c_26675,c_46508,c_47505,c_47573]) ).
cnf(c_48243,plain,
( multiply(sk_c4,sk_c8) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_47657,c_47548]) ).
cnf(c_48270,plain,
( sk_c8 = identity
| sk_c7 = identity ),
inference(light_normalisation,[status(thm)],[c_48243,c_46074]) ).
cnf(c_48462,plain,
sk_c7 = identity,
inference(global_subsumption_just,[status(thm)],[c_47589,c_1078,c_1445,c_1489,c_1488,c_17917,c_21954,c_21955,c_44748,c_47594,c_47616,c_47657,c_48102,c_48270]) ).
cnf(c_48483,plain,
( multiply(sk_c2,sk_c3) = sk_c8
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_47662,c_48462]) ).
cnf(c_48484,plain,
( multiply(sk_c3,identity) = sk_c8
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_47661,c_48462]) ).
cnf(c_48485,plain,
( inverse(sk_c2) = sk_c3
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_47663,c_48462]) ).
cnf(c_48513,plain,
( ~ sP2_iProver_split
| multiply(sk_c3,identity) = sk_c8 ),
inference(demodulation,[status(thm)],[c_9895,c_48462]) ).
cnf(c_48514,plain,
( identity != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_9889,c_48462]) ).
cnf(c_48516,plain,
( ~ sP0_iProver_split
| multiply(sk_c3,identity) = sk_c8 ),
inference(demodulation,[status(thm)],[c_9779,c_48462]) ).
cnf(c_48520,plain,
( sk_c8 != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_4341,c_48462]) ).
cnf(c_48524,plain,
( multiply(sk_c4,identity) = sk_c8
| multiply(sk_c3,identity) = sk_c8 ),
inference(demodulation,[status(thm)],[c_76,c_48462]) ).
cnf(c_48525,plain,
( multiply(sk_c4,identity) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c8 ),
inference(demodulation,[status(thm)],[c_66,c_48462]) ).
cnf(c_48526,plain,
( multiply(sk_c4,identity) = sk_c8
| inverse(sk_c2) = sk_c3 ),
inference(demodulation,[status(thm)],[c_71,c_48462]) ).
cnf(c_48532,plain,
~ sP1_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_48514]) ).
cnf(c_48622,plain,
( sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_48102,c_48532]) ).
cnf(c_48647,plain,
inverse(sk_c2) = sk_c3,
inference(global_subsumption_just,[status(thm)],[c_48526,c_728,c_827,c_1078,c_1445,c_1489,c_1488,c_2250,c_2345,c_2945,c_3734,c_21954,c_21955,c_22205,c_23697,c_23820,c_28159,c_44748,c_47663,c_48622,c_48485]) ).
cnf(c_48652,plain,
multiply(sk_c2,sk_c3) = identity,
inference(superposition,[status(thm)],[c_48647,c_1403]) ).
cnf(c_48661,plain,
multiply(sk_c3,identity) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_48524,c_1078,c_1445,c_1489,c_1488,c_3439,c_3445,c_21954,c_21955,c_44748,c_48462,c_48622,c_48516,c_48513,c_48484]) ).
cnf(c_48663,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm)],[c_48661,c_1332]) ).
cnf(c_48665,plain,
multiply(sk_c2,sk_c3) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_48525,c_785,c_1078,c_1082,c_1240,c_1436,c_1445,c_1489,c_1488,c_17917,c_21954,c_21955,c_26675,c_44748,c_46508,c_46679,c_47505,c_47573,c_47594,c_47616,c_47657,c_47662,c_48102,c_48270,c_48520,c_48483]) ).
cnf(c_48667,plain,
sk_c8 = identity,
inference(light_normalisation,[status(thm)],[c_48665,c_48652]) ).
cnf(c_48668,plain,
sk_c3 = identity,
inference(demodulation,[status(thm)],[c_48663,c_48667]) ).
cnf(c_48675,plain,
( identity != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_14444,c_48667]) ).
cnf(c_48679,plain,
~ sP3_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_48675]) ).
cnf(c_48686,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_48668,c_48679,c_48520,c_48462,c_47627,c_46679,c_46508,c_24802,c_24811,c_15328,c_15303,c_9895,c_9889,c_9779,c_7257,c_5214,c_5212,c_3942,c_3439,c_2772,c_2618,c_2617,c_1488,c_1231,c_1230,c_1078,c_387]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP279-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 01:51:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 11.01/2.18 % SZS status Started for theBenchmark.p
% 11.01/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 11.01/2.18
% 11.01/2.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 11.01/2.18
% 11.01/2.18 ------ iProver source info
% 11.01/2.18
% 11.01/2.18 git: date: 2023-05-31 18:12:56 +0000
% 11.01/2.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 11.01/2.18 git: non_committed_changes: false
% 11.01/2.18 git: last_make_outside_of_git: false
% 11.01/2.18
% 11.01/2.18 ------ Parsing...successful
% 11.01/2.18
% 11.01/2.18
% 11.01/2.18
% 11.01/2.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 11.01/2.18
% 11.01/2.18 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 11.01/2.18
% 11.01/2.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 11.01/2.18 ------ Proving...
% 11.01/2.18 ------ Problem Properties
% 11.01/2.18
% 11.01/2.18
% 11.01/2.18 clauses 38
% 11.01/2.18 conjectures 35
% 11.01/2.18 EPR 0
% 11.01/2.18 Horn 7
% 11.01/2.18 unary 3
% 11.01/2.18 binary 30
% 11.01/2.18 lits 81
% 11.01/2.18 lits eq 73
% 11.01/2.18 fd_pure 0
% 11.01/2.18 fd_pseudo 0
% 11.01/2.18 fd_cond 0
% 11.01/2.18 fd_pseudo_cond 0
% 11.01/2.18 AC symbols 0
% 11.01/2.18
% 11.01/2.18 ------ Schedule dynamic 5 is on
% 11.01/2.18
% 11.01/2.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 11.01/2.18
% 11.01/2.18
% 11.01/2.18 ------
% 11.01/2.18 Current options:
% 11.01/2.18 ------
% 11.01/2.18
% 11.01/2.18
% 11.01/2.18
% 11.01/2.18
% 11.01/2.18 ------ Proving...
% 11.01/2.18
% 11.01/2.18
% 11.01/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 11.01/2.18
% 11.01/2.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.01/2.18
% 11.01/2.18
%------------------------------------------------------------------------------