TSTP Solution File: GRP231-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP231-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 00:58:48 EDT 2023
% Result : Unsatisfiable 4.04s 1.16s
% Output : CNFRefutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 33
% Syntax : Number of clauses : 311 ( 72 unt; 121 nHn; 278 RR)
% Number of literals : 704 ( 634 equ; 272 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 164 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/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_c7) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c8) != X5
| multiply(sk_c8,X5) != sk_c7
| inverse(X0) != X1
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_81,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_82,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,inverse(X1)) != sk_c8
| multiply(inverse(X1),sk_c7) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(sk_c8) != sk_c7 ),
inference(unflattening,[status(thm)],[c_79]) ).
cnf(c_84,plain,
multiply(identity,sk_c8) = sk_c8,
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_85,plain,
multiply(inverse(sk_c8),sk_c8) = identity,
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_372,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_373,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c7) != sk_c8
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_83]) ).
cnf(c_374,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_83]) ).
cnf(c_375,negated_conjecture,
( inverse(sk_c8) != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).
cnf(c_376,plain,
X0 = X0,
theory(equality) ).
cnf(c_377,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_379,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_382,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_725,plain,
( inverse(sk_c4) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_70,c_372]) ).
cnf(c_729,plain,
( inverse(sk_c2) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_68,c_372]) ).
cnf(c_730,plain,
( inverse(sk_c2) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_64,c_372]) ).
cnf(c_732,plain,
( inverse(sk_c3) != sk_c8
| ~ sP0_iProver_split
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_76,c_372]) ).
cnf(c_734,plain,
( inverse(sk_c3) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_78,c_372]) ).
cnf(c_735,plain,
( inverse(sk_c3) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_74,c_372]) ).
cnf(c_787,plain,
( multiply(sk_c8,sk_c6) != sk_c7
| inverse(sk_c5) != sk_c8
| ~ sP2_iProver_split
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_72,c_374]) ).
cnf(c_790,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| inverse(identity) != sk_c8
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_374]) ).
cnf(c_820,plain,
( multiply(sk_c7,inverse(sk_c7)) != sk_c8
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_373]) ).
cnf(c_883,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_1000,plain,
( multiply(inverse(X0),sk_c7) != X1
| sk_c8 != X1
| multiply(inverse(X0),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1002,plain,
multiply(inverse(sk_c7),sk_c7) = identity,
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_1004,plain,
multiply(inverse(X0),sk_c7) = multiply(inverse(X0),sk_c7),
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_1006,plain,
multiply(inverse(sk_c8),sk_c7) = multiply(inverse(sk_c8),sk_c7),
inference(instantiation,[status(thm)],[c_1004]) ).
cnf(c_1007,plain,
( multiply(inverse(X0),sk_c7) != X1
| X2 != X1
| multiply(inverse(X0),sk_c7) = X2 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1008,plain,
( multiply(inverse(X0),sk_c7) != multiply(X1,X2)
| sk_c8 != multiply(X1,X2)
| multiply(inverse(X0),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_1000]) ).
cnf(c_1009,plain,
( inverse(X0) != X1
| sk_c7 != X2
| multiply(inverse(X0),sk_c7) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_379]) ).
cnf(c_1010,plain,
( multiply(inverse(sk_c8),sk_c7) != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c8,sk_c8)
| multiply(inverse(sk_c8),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_1008]) ).
cnf(c_1016,plain,
( multiply(inverse(X0),sk_c7) != X1
| sk_c8 != X1
| sk_c8 = multiply(inverse(X0),sk_c7) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1017,plain,
( multiply(inverse(sk_c8),sk_c7) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(inverse(sk_c8),sk_c7) ),
inference(instantiation,[status(thm)],[c_1016]) ).
cnf(c_1025,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| X0 != identity
| multiply(inverse(sk_c7),sk_c7) = X0 ),
inference(instantiation,[status(thm)],[c_1007]) ).
cnf(c_1026,plain,
( multiply(inverse(X0),sk_c7) != multiply(inverse(X0),sk_c7)
| X1 != multiply(inverse(X0),sk_c7)
| multiply(inverse(X0),sk_c7) = X1 ),
inference(instantiation,[status(thm)],[c_1007]) ).
cnf(c_1027,plain,
( sk_c8 != X0
| identity != X0
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1029,plain,
( multiply(X0,X1) != X2
| sk_c8 != X2
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1031,plain,
( inverse(X0) != X1
| sk_c7 != sk_c7
| multiply(inverse(X0),sk_c7) = multiply(X1,sk_c7) ),
inference(instantiation,[status(thm)],[c_1009]) ).
cnf(c_1032,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_1034,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1042,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1034]) ).
cnf(c_1046,plain,
( multiply(inverse(X0),X0) != identity
| multiply(inverse(sk_c7),sk_c7) != identity
| multiply(inverse(sk_c7),sk_c7) = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_1025]) ).
cnf(c_1047,plain,
( multiply(inverse(sk_c8),sk_c8) != identity
| multiply(inverse(sk_c7),sk_c7) != identity
| multiply(inverse(sk_c7),sk_c7) = multiply(inverse(sk_c8),sk_c8) ),
inference(instantiation,[status(thm)],[c_1046]) ).
cnf(c_1049,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1051,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_883,c_80]) ).
cnf(c_1059,plain,
( multiply(inverse(sk_c4),sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_70,c_1051]) ).
cnf(c_1061,plain,
( multiply(inverse(sk_c4),sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_50,c_1051]) ).
cnf(c_1062,plain,
( multiply(inverse(sk_c8),sk_c7) = sk_c6
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_71,c_1051]) ).
cnf(c_1064,plain,
( multiply(inverse(sk_c8),sk_c7) = sk_c6
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_51,c_1051]) ).
cnf(c_1066,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_72,c_1051]) ).
cnf(c_1067,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_62,c_1051]) ).
cnf(c_1068,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_52,c_1051]) ).
cnf(c_1078,plain,
( multiply(inverse(sk_c3),sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_76,c_1051]) ).
cnf(c_1080,plain,
( multiply(inverse(sk_c3),sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_78,c_1051]) ).
cnf(c_1081,plain,
( multiply(inverse(sk_c3),sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_74,c_1051]) ).
cnf(c_1082,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_1051]) ).
cnf(c_1083,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_1051]) ).
cnf(c_1091,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1051,c_1051]) ).
cnf(c_1165,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| sk_c8 != identity
| sk_c8 = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_1016]) ).
cnf(c_1167,plain,
( inverse(sk_c8) != sk_c7
| sk_c7 != sk_c7
| multiply(inverse(sk_c8),sk_c7) = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_1031]) ).
cnf(c_1178,plain,
( multiply(inverse(X0),sk_c7) != X1
| X2 != X1
| X2 = multiply(inverse(X0),sk_c7) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1179,plain,
( multiply(inverse(X0),sk_c7) != multiply(inverse(X0),sk_c7)
| multiply(X1,X2) != multiply(inverse(X0),sk_c7)
| multiply(inverse(X0),sk_c7) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_1026]) ).
cnf(c_1186,plain,
( multiply(sk_c5,sk_c8) != sk_c6
| sk_c8 != sk_c6
| sk_c8 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_1029]) ).
cnf(c_1187,plain,
( multiply(identity,X0) != X0
| sk_c8 != X0
| sk_c8 = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_1029]) ).
cnf(c_1188,plain,
( multiply(identity,sk_c8) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_1187]) ).
cnf(c_1194,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1195,plain,
( multiply(X0,X1) != multiply(X2,X3)
| sk_c8 != multiply(X2,X3)
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1029]) ).
cnf(c_1199,plain,
( multiply(inverse(sk_c8),sk_c7) != multiply(sk_c7,sk_c7)
| X0 != multiply(sk_c7,sk_c7)
| multiply(inverse(sk_c8),sk_c7) = X0 ),
inference(instantiation,[status(thm)],[c_1007]) ).
cnf(c_1201,plain,
( multiply(inverse(sk_c8),sk_c7) != multiply(sk_c7,sk_c7)
| sk_c8 != multiply(sk_c7,sk_c7)
| multiply(inverse(sk_c8),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_1199]) ).
cnf(c_1232,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1083,c_1091]) ).
cnf(c_1240,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1232,c_1082]) ).
cnf(c_1246,plain,
( sk_c8 != X0
| sk_c6 != X0
| sk_c8 = sk_c6 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1269,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1091,c_81]) ).
cnf(c_1273,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1091,c_1051]) ).
cnf(c_1274,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_1091,c_1232]) ).
cnf(c_1275,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1274,c_1232]) ).
cnf(c_1298,plain,
( multiply(inverse(X0),sk_c7) != sk_c8
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_373,c_1269]) ).
cnf(c_1314,plain,
( multiply(inverse(sk_c8),sk_c7) != sk_c8
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_1298]) ).
cnf(c_1325,plain,
( multiply(sk_c8,sk_c6) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(instantiation,[status(thm)],[c_1042]) ).
cnf(c_1329,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1394,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_1397,plain,
( inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c4 ),
inference(superposition,[status(thm)],[c_49,c_1275]) ).
cnf(c_1398,plain,
( inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c5 ),
inference(superposition,[status(thm)],[c_53,c_1275]) ).
cnf(c_1436,plain,
( sk_c7 != sk_c4
| inverse(sk_c8) = sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_1397,c_375]) ).
cnf(c_1464,plain,
( sk_c7 != sk_c5
| inverse(sk_c8) = sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_1398,c_375]) ).
cnf(c_1467,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_1398,c_81]) ).
cnf(c_1721,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| X0 != identity
| X0 = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_1178]) ).
cnf(c_1724,plain,
( multiply(inverse(sk_c7),sk_c7) != multiply(inverse(X0),X0)
| X1 != multiply(inverse(X0),X0)
| X1 = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_1178]) ).
cnf(c_1821,plain,
( multiply(sk_c5,sk_c8) != sk_c6
| X0 != sk_c6
| multiply(sk_c5,sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_1194]) ).
cnf(c_1833,plain,
( multiply(X0,X1) != multiply(X2,X3)
| X4 != multiply(X2,X3)
| multiply(X0,X1) = X4 ),
inference(instantiation,[status(thm)],[c_1194]) ).
cnf(c_1854,plain,
( multiply(sk_c1,sk_c2) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_63,c_1269]) ).
cnf(c_1855,plain,
( multiply(sk_c1,sk_c2) = identity
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_59,c_1269]) ).
cnf(c_1863,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1269,c_82]) ).
cnf(c_1910,plain,
( inverse(sk_c8) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1467,c_52]) ).
cnf(c_1932,plain,
( multiply(X0,X1) != multiply(identity,X2)
| sk_c8 != multiply(identity,X2)
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1195]) ).
cnf(c_1933,plain,
( multiply(sk_c8,sk_c8) != multiply(identity,sk_c8)
| sk_c8 != multiply(identity,sk_c8)
| sk_c8 = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_1932]) ).
cnf(c_1955,plain,
( multiply(sk_c1,multiply(sk_c2,X0)) = X0
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_63,c_1273]) ).
cnf(c_1956,plain,
( multiply(sk_c1,multiply(sk_c2,X0)) = X0
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_59,c_1273]) ).
cnf(c_1964,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_1273,c_374]) ).
cnf(c_1985,plain,
( sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_1964,c_1275]) ).
cnf(c_2117,plain,
( sk_c6 = identity
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_1910,c_375]) ).
cnf(c_2165,plain,
( inverse(sk_c5) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1854,c_58]) ).
cnf(c_2180,plain,
( inverse(sk_c8) = sk_c5
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2165,c_1275]) ).
cnf(c_2221,plain,
( inverse(sk_c4) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1855,c_54]) ).
cnf(c_2237,plain,
( inverse(sk_c8) = sk_c4
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2221,c_1275]) ).
cnf(c_2381,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| multiply(sk_c5,sk_c8) != identity
| multiply(inverse(sk_c7),sk_c7) = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_1025]) ).
cnf(c_2384,plain,
( multiply(sk_c5,sk_c8) != X0
| X1 != X0
| multiply(sk_c5,sk_c8) = X1 ),
inference(instantiation,[status(thm)],[c_1194]) ).
cnf(c_2385,plain,
( multiply(sk_c5,sk_c8) != X0
| sk_c8 != X0
| sk_c8 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_1029]) ).
cnf(c_2386,plain,
( multiply(sk_c5,sk_c8) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_2385]) ).
cnf(c_2389,plain,
( multiply(inverse(X0),sk_c7) != sk_c6
| multiply(sk_c5,sk_c8) != sk_c6
| multiply(sk_c5,sk_c8) = multiply(inverse(X0),sk_c7) ),
inference(instantiation,[status(thm)],[c_1821]) ).
cnf(c_2391,plain,
( multiply(inverse(sk_c8),sk_c7) != sk_c6
| multiply(sk_c5,sk_c8) != sk_c6
| multiply(sk_c5,sk_c8) = multiply(inverse(sk_c8),sk_c7) ),
inference(instantiation,[status(thm)],[c_2389]) ).
cnf(c_2462,plain,
( sk_c7 != sk_c5
| sk_c8 = identity
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_2180,c_375]) ).
cnf(c_2492,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_2510,plain,
( sk_c8 = identity
| sk_c4 = sk_c5 ),
inference(superposition,[status(thm)],[c_2237,c_2180]) ).
cnf(c_2514,plain,
( sk_c7 != sk_c4
| sk_c8 = identity
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_2237,c_375]) ).
cnf(c_2558,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_2648,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_49,c_1061]) ).
cnf(c_2794,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_1397,c_1064]) ).
cnf(c_2846,plain,
( multiply(sk_c7,sk_c7) != X0
| X1 != X0
| X1 = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_2847,plain,
( multiply(sk_c7,sk_c7) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_2846]) ).
cnf(c_2848,plain,
( multiply(inverse(sk_c8),sk_c7) != multiply(sk_c7,sk_c7)
| multiply(X0,X1) != multiply(sk_c7,sk_c7)
| multiply(inverse(sk_c8),sk_c7) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1199]) ).
cnf(c_2849,plain,
( X0 != sk_c7
| X1 != sk_c7
| multiply(X0,X1) = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_379]) ).
cnf(c_2850,plain,
( multiply(inverse(sk_c8),sk_c7) != multiply(sk_c7,sk_c7)
| multiply(sk_c8,sk_c8) != multiply(sk_c7,sk_c7)
| multiply(inverse(sk_c8),sk_c7) = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_2848]) ).
cnf(c_2851,plain,
( sk_c8 != sk_c7
| multiply(sk_c8,sk_c8) = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_2849]) ).
cnf(c_2892,plain,
( multiply(sk_c8,sk_c6) = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_53,c_1068]) ).
cnf(c_2998,plain,
( multiply(sk_c4,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2510,c_72]) ).
cnf(c_3083,plain,
( multiply(inverse(sk_c7),sk_c7) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_1016]) ).
cnf(c_3182,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_2892,c_51]) ).
cnf(c_3222,plain,
( sk_c8 = sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_3182,c_375]) ).
cnf(c_3269,plain,
( multiply(inverse(sk_c7),sk_c7) != X0
| sk_c8 != X0
| multiply(inverse(sk_c7),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_1000]) ).
cnf(c_3437,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| inverse(X0) != identity
| inverse(X0) = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_1721]) ).
cnf(c_3440,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| inverse(sk_c8) != identity
| inverse(sk_c8) = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_3437]) ).
cnf(c_3464,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| sk_c6 != identity
| sk_c6 = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_1721]) ).
cnf(c_3465,plain,
( sk_c8 != multiply(inverse(sk_c7),sk_c7)
| sk_c6 != multiply(inverse(sk_c7),sk_c7)
| sk_c8 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1246]) ).
cnf(c_3541,plain,
( multiply(sk_c1,multiply(sk_c2,inverse(sk_c8))) = identity
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_55,c_1863]) ).
cnf(c_3542,plain,
( multiply(sk_c1,multiply(sk_c2,inverse(sk_c8))) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_58,c_1863]) ).
cnf(c_3543,plain,
( multiply(sk_c1,multiply(sk_c2,inverse(sk_c8))) = identity
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_54,c_1863]) ).
cnf(c_3545,plain,
( multiply(sk_c2,multiply(sk_c7,inverse(sk_c8))) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_68,c_1863]) ).
cnf(c_3943,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2558,c_80]) ).
cnf(c_3960,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_52,c_3943]) ).
cnf(c_3975,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_3943]) ).
cnf(c_3983,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3943,c_3943]) ).
cnf(c_4052,plain,
( multiply(inverse(X0),sk_c7) != X1
| identity != X1
| multiply(inverse(X0),sk_c7) = identity ),
inference(instantiation,[status(thm)],[c_1049]) ).
cnf(c_4056,plain,
( multiply(inverse(X0),sk_c7) != identity
| sk_c8 != identity
| multiply(inverse(X0),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_1000]) ).
cnf(c_4058,plain,
( multiply(inverse(sk_c8),sk_c7) != identity
| sk_c8 != identity
| multiply(inverse(sk_c8),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_4056]) ).
cnf(c_4229,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_73,c_1080]) ).
cnf(c_4282,plain,
( multiply(inverse(sk_c8),sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_4229,c_1051]) ).
cnf(c_4304,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_69,c_1081]) ).
cnf(c_4330,plain,
( multiply(inverse(sk_c8),sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_4304,c_1051]) ).
cnf(c_4363,plain,
( sk_c7 != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_2462,c_375,c_1464]) ).
cnf(c_4374,plain,
( sk_c7 != sk_c4
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_2514,c_375,c_1436]) ).
cnf(c_4384,plain,
( ~ sP0_iProver_split
| inverse(sk_c3) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_725,c_69,c_725]) ).
cnf(c_4665,plain,
( ~ sP0_iProver_split
| inverse(sk_c5) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_729,c_734,c_4384]) ).
cnf(c_4671,plain,
( ~ sP0_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_730,c_69,c_735,c_725]) ).
cnf(c_5055,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_3975,c_3983]) ).
cnf(c_5131,plain,
( multiply(inverse(X0),X0) != multiply(inverse(X1),sk_c7)
| multiply(inverse(X1),sk_c7) != multiply(inverse(X1),sk_c7)
| multiply(inverse(X1),sk_c7) = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_1179]) ).
cnf(c_5133,plain,
( multiply(inverse(sk_c8),sk_c8) != multiply(inverse(sk_c8),sk_c7)
| multiply(inverse(sk_c8),sk_c7) != multiply(inverse(sk_c8),sk_c7)
| multiply(inverse(sk_c8),sk_c7) = multiply(inverse(sk_c8),sk_c8) ),
inference(instantiation,[status(thm)],[c_5131]) ).
cnf(c_5290,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_3983,c_3943]) ).
cnf(c_5291,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_3983,c_5055]) ).
cnf(c_5292,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_5291,c_5055]) ).
cnf(c_5408,plain,
( X0 != identity
| X1 != X2
| multiply(X0,X1) = multiply(identity,X2) ),
inference(instantiation,[status(thm)],[c_379]) ).
cnf(c_5409,plain,
( sk_c8 != sk_c8
| sk_c8 != identity
| multiply(sk_c8,sk_c8) = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_5408]) ).
cnf(c_6455,plain,
( inverse(sk_c8) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = inverse(sk_c8) ),
inference(instantiation,[status(thm)],[c_1042]) ).
cnf(c_6469,plain,
( multiply(inverse(sk_c8),sk_c7) != multiply(sk_c7,sk_c7)
| X0 != multiply(sk_c7,sk_c7)
| X0 = multiply(inverse(sk_c8),sk_c7) ),
inference(instantiation,[status(thm)],[c_1178]) ).
cnf(c_6558,plain,
( multiply(X0,X1) != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(sk_c8,sk_c6)
| multiply(X0,X1) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1833]) ).
cnf(c_6559,plain,
( multiply(sk_c8,sk_c8) != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(sk_c8,sk_c6)
| multiply(sk_c8,sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_6558]) ).
cnf(c_6680,plain,
( X0 != inverse(sk_c8)
| sk_c7 != inverse(sk_c8)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1329]) ).
cnf(c_6683,plain,
( sk_c8 != inverse(sk_c8)
| sk_c7 != inverse(sk_c8)
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_6680]) ).
cnf(c_6692,plain,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c1 ),
inference(superposition,[status(thm)],[c_59,c_5292]) ).
cnf(c_6810,plain,
( inverse(sk_c8) = sk_c4
| inverse(sk_c2) = sk_c1 ),
inference(superposition,[status(thm)],[c_6692,c_5292]) ).
cnf(c_8172,plain,
( X0 != sk_c8
| X1 != sk_c6
| multiply(X0,X1) = multiply(sk_c8,sk_c6) ),
inference(instantiation,[status(thm)],[c_379]) ).
cnf(c_8174,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c6
| multiply(sk_c8,sk_c8) = multiply(sk_c8,sk_c6) ),
inference(instantiation,[status(thm)],[c_8172]) ).
cnf(c_8896,plain,
( multiply(inverse(X0),X0) != multiply(sk_c7,sk_c7)
| multiply(inverse(sk_c8),sk_c7) != multiply(sk_c7,sk_c7)
| multiply(inverse(X0),X0) = multiply(inverse(sk_c8),sk_c7) ),
inference(instantiation,[status(thm)],[c_6469]) ).
cnf(c_8898,plain,
( multiply(inverse(sk_c8),sk_c8) != multiply(sk_c7,sk_c7)
| multiply(inverse(sk_c8),sk_c7) != multiply(sk_c7,sk_c7)
| multiply(inverse(sk_c8),sk_c8) = multiply(inverse(sk_c8),sk_c7) ),
inference(instantiation,[status(thm)],[c_8896]) ).
cnf(c_10170,plain,
( inverse(sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_2794,c_70]) ).
cnf(c_10172,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_2794,c_50]) ).
cnf(c_10204,plain,
( multiply(sk_c5,sk_c8) != multiply(inverse(X0),sk_c7)
| X1 != multiply(inverse(X0),sk_c7)
| multiply(sk_c5,sk_c8) = X1 ),
inference(instantiation,[status(thm)],[c_2384]) ).
cnf(c_10205,plain,
( multiply(sk_c5,sk_c8) != multiply(inverse(sk_c8),sk_c7)
| sk_c8 != multiply(inverse(sk_c8),sk_c7)
| multiply(sk_c5,sk_c8) = sk_c8 ),
inference(instantiation,[status(thm)],[c_10204]) ).
cnf(c_10370,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| identity != identity
| identity = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_1721]) ).
cnf(c_10379,plain,
( multiply(inverse(X0),sk_c7) != multiply(inverse(sk_c7),sk_c7)
| identity != multiply(inverse(sk_c7),sk_c7)
| multiply(inverse(X0),sk_c7) = identity ),
inference(instantiation,[status(thm)],[c_4052]) ).
cnf(c_10381,plain,
( multiply(inverse(sk_c8),sk_c7) != multiply(inverse(sk_c7),sk_c7)
| identity != multiply(inverse(sk_c7),sk_c7)
| multiply(inverse(sk_c8),sk_c7) = identity ),
inference(instantiation,[status(thm)],[c_10379]) ).
cnf(c_10707,plain,
( multiply(inverse(sk_c7),sk_c7) != multiply(sk_c5,sk_c8)
| sk_c8 != multiply(sk_c5,sk_c8)
| multiply(inverse(sk_c7),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_3269]) ).
cnf(c_11072,plain,
( multiply(X0,X1) != sk_c7
| sk_c8 != sk_c7
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1029]) ).
cnf(c_11073,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| sk_c8 != sk_c7
| sk_c8 = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_11072]) ).
cnf(c_11270,plain,
( multiply(sk_c8,sk_c6) = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_53,c_3960]) ).
cnf(c_11980,plain,
( inverse(sk_c8) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_3542,c_1955]) ).
cnf(c_12205,plain,
( inverse(sk_c8) = identity
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_3543,c_1956]) ).
cnf(c_12258,plain,
( inverse(X0) != multiply(inverse(sk_c7),sk_c7)
| X1 != multiply(inverse(sk_c7),sk_c7)
| X1 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_2492]) ).
cnf(c_12264,plain,
( inverse(sk_c8) != multiply(inverse(sk_c7),sk_c7)
| sk_c8 != multiply(inverse(sk_c7),sk_c7)
| sk_c8 = inverse(sk_c8) ),
inference(instantiation,[status(thm)],[c_12258]) ).
cnf(c_12277,plain,
( sk_c8 != multiply(inverse(sk_c7),sk_c7)
| identity != multiply(inverse(sk_c7),sk_c7)
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_1027]) ).
cnf(c_12324,plain,
inverse(sk_c5) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_3545,c_53,c_375,c_1002,c_1032,c_1165,c_1314,c_1985,c_2165,c_3440,c_4282,c_4665,c_6455,c_6683,c_11980,c_12264]) ).
cnf(c_12345,plain,
( multiply(sk_c8,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c2 ),
inference(demodulation,[status(thm)],[c_1067,c_12324]) ).
cnf(c_12346,plain,
( multiply(sk_c8,sk_c6) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(demodulation,[status(thm)],[c_1066,c_12324]) ).
cnf(c_12364,plain,
multiply(sk_c5,sk_c8) = identity,
inference(superposition,[status(thm)],[c_12324,c_1269]) ).
cnf(c_12365,plain,
inverse(sk_c8) = sk_c5,
inference(superposition,[status(thm)],[c_12324,c_1275]) ).
cnf(c_12367,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm)],[c_12324,c_81]) ).
cnf(c_12395,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_57,c_12364]) ).
cnf(c_12396,plain,
( inverse(sk_c3) = sk_c8
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_72,c_12364]) ).
cnf(c_12397,plain,
( inverse(sk_c1) = sk_c2
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_62,c_12364]) ).
cnf(c_12453,plain,
( sk_c8 = sk_c7
| sk_c7 = sk_c5 ),
inference(demodulation,[status(thm)],[c_3182,c_12365]) ).
cnf(c_12472,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| sk_c7 = sk_c5 ),
inference(demodulation,[status(thm)],[c_50,c_12365]) ).
cnf(c_12473,plain,
( inverse(sk_c4) = sk_c8
| sk_c7 = sk_c5 ),
inference(demodulation,[status(thm)],[c_49,c_12365]) ).
cnf(c_12624,plain,
( multiply(sk_c1,sk_c2) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_12397,c_1269]) ).
cnf(c_12646,plain,
inverse(sk_c4) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_12473,c_49,c_1002,c_1032,c_1165,c_1314,c_1985,c_2221,c_3440,c_4330,c_4363,c_4671,c_6455,c_6683,c_12205,c_12264,c_12473]) ).
cnf(c_12664,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(demodulation,[status(thm)],[c_1059,c_12646]) ).
cnf(c_12677,plain,
multiply(sk_c4,sk_c8) = identity,
inference(superposition,[status(thm)],[c_12646,c_1269]) ).
cnf(c_12678,plain,
inverse(sk_c8) = sk_c4,
inference(superposition,[status(thm)],[c_12646,c_1275]) ).
cnf(c_12679,plain,
multiply(sk_c8,multiply(sk_c4,X0)) = X0,
inference(superposition,[status(thm)],[c_12646,c_1051]) ).
cnf(c_12680,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm)],[c_12646,c_81]) ).
cnf(c_12716,plain,
multiply(inverse(sk_c8),identity) = sk_c5,
inference(superposition,[status(thm)],[c_12367,c_1051]) ).
cnf(c_12718,plain,
multiply(sk_c4,identity) = sk_c5,
inference(light_normalisation,[status(thm)],[c_12716,c_12678]) ).
cnf(c_12720,plain,
multiply(inverse(sk_c8),identity) = sk_c4,
inference(superposition,[status(thm)],[c_12680,c_1051]) ).
cnf(c_12722,plain,
sk_c4 = sk_c5,
inference(light_normalisation,[status(thm)],[c_12720,c_12678,c_12718]) ).
cnf(c_12795,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| sk_c7 = sk_c4 ),
inference(light_normalisation,[status(thm)],[c_12472,c_12722]) ).
cnf(c_12801,plain,
( multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| sk_c7 = sk_c4 ),
inference(superposition,[status(thm)],[c_12795,c_82]) ).
cnf(c_12857,plain,
( inverse(sk_c1) = sk_c2
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_12345,c_61]) ).
cnf(c_12876,plain,
( multiply(sk_c1,sk_c2) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_12857,c_1269]) ).
cnf(c_12923,plain,
( inverse(sk_c3) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_12346,c_71]) ).
cnf(c_12961,plain,
( inverse(sk_c8) = sk_c3
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_12923,c_1275]) ).
cnf(c_12964,plain,
( sk_c8 = sk_c7
| sk_c4 = sk_c3 ),
inference(light_normalisation,[status(thm)],[c_12961,c_12678]) ).
cnf(c_13159,plain,
( inverse(sk_c3) = sk_c8
| sk_c8 = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_10170,c_72,c_382,c_1002,c_1010,c_1017,c_1032,c_1062,c_1167,c_2381,c_2386,c_2391,c_2850,c_2851,c_3083,c_3464,c_3465,c_10172,c_10205,c_10707,c_11073,c_12364,c_12396,c_12664,c_12923]) ).
cnf(c_13169,plain,
( inverse(sk_c8) = sk_c3
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_13159,c_1275]) ).
cnf(c_13172,plain,
( sk_c8 = sk_c6
| sk_c4 = sk_c3 ),
inference(light_normalisation,[status(thm)],[c_13169,c_12678]) ).
cnf(c_13290,plain,
( sk_c8 = sk_c7
| sk_c7 = sk_c4 ),
inference(light_normalisation,[status(thm)],[c_12453,c_12722]) ).
cnf(c_13417,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| sk_c8 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_790,c_1240]) ).
cnf(c_13424,plain,
( sk_c8 != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_820,c_1269]) ).
cnf(c_13471,plain,
inverse(sk_c8) = sk_c4,
inference(global_subsumption_just,[status(thm)],[c_6810,c_12678]) ).
cnf(c_13494,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| sk_c7 = sk_c4 ),
inference(demodulation,[status(thm)],[c_51,c_13471]) ).
cnf(c_13498,plain,
( sk_c7 != sk_c4
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_375,c_13471]) ).
cnf(c_13547,plain,
multiply(sk_c8,multiply(sk_c4,X0)) = X0,
inference(superposition,[status(thm)],[c_13471,c_5290]) ).
cnf(c_13549,plain,
inverse(sk_c4) = sk_c8,
inference(superposition,[status(thm)],[c_13471,c_5292]) ).
cnf(c_13550,plain,
multiply(sk_c4,multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_13471,c_3943]) ).
cnf(c_13572,plain,
( multiply(inverse(X0),sk_c7) != multiply(inverse(X1),X1)
| multiply(inverse(sk_c7),sk_c7) != multiply(inverse(X1),X1)
| multiply(inverse(X0),sk_c7) = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_1724]) ).
cnf(c_13573,plain,
( multiply(inverse(sk_c8),sk_c7) != multiply(inverse(sk_c8),sk_c8)
| multiply(inverse(sk_c7),sk_c7) != multiply(inverse(sk_c8),sk_c8)
| multiply(inverse(sk_c8),sk_c7) = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_13572]) ).
cnf(c_13771,plain,
( multiply(sk_c8,sk_c6) = sk_c8
| sk_c7 = sk_c4 ),
inference(light_normalisation,[status(thm)],[c_11270,c_13471]) ).
cnf(c_13779,plain,
( sk_c8 = sk_c7
| sk_c7 = sk_c4 ),
inference(superposition,[status(thm)],[c_13771,c_13494]) ).
cnf(c_14315,plain,
( inverse(sk_c3) = sk_c8
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_2998,c_72,c_382,c_1002,c_1186,c_1394,c_2381,c_3083,c_10370,c_10707,c_12277,c_12364,c_13159]) ).
cnf(c_14322,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_14315,c_1078]) ).
cnf(c_14472,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_12964,c_75]) ).
cnf(c_14491,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_65,c_13547]) ).
cnf(c_14534,plain,
( inverse(sk_c8) != sk_c7
| X0 != sk_c7
| multiply(inverse(sk_c8),X0) = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_2849]) ).
cnf(c_14535,plain,
( inverse(sk_c8) != sk_c7
| sk_c8 != sk_c7
| multiply(inverse(sk_c8),sk_c8) = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_14534]) ).
cnf(c_14585,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_13172,c_75]) ).
cnf(c_14832,plain,
( multiply(sk_c7,sk_c7) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_13290,c_14472]) ).
cnf(c_14837,plain,
( inverse(sk_c4) != sk_c8
| ~ sP0_iProver_split
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_14472,c_372]) ).
cnf(c_14838,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_14472,c_12679]) ).
cnf(c_14844,plain,
( ~ sP0_iProver_split
| sk_c8 = sk_c7 ),
inference(forward_subsumption_resolution,[status(thm)],[c_14837,c_12646]) ).
cnf(c_14873,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_14585,c_12679]) ).
cnf(c_15031,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_14491,c_85,c_382,c_375,c_732,c_1002,c_1006,c_1032,c_1047,c_1167,c_1314,c_1325,c_1394,c_1985,c_2648,c_4058,c_5133,c_6559,c_8174,c_8898,c_10370,c_10381,c_12664,c_13573,c_14322,c_14535,c_14838,c_14873]) ).
cnf(c_15034,plain,
multiply(sk_c8,multiply(sk_c8,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_15031,c_82]) ).
cnf(c_15036,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(superposition,[status(thm)],[c_15031,c_13550]) ).
cnf(c_15131,plain,
multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_15034,c_13550]) ).
cnf(c_15215,plain,
( inverse(sk_c4) != sk_c8
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_15036,c_372]) ).
cnf(c_15218,plain,
~ sP0_iProver_split,
inference(forward_subsumption_resolution,[status(thm)],[c_15215,c_13549]) ).
cnf(c_15219,plain,
( sk_c7 != sk_c4
| sP1_iProver_split
| sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_13498,c_15218]) ).
cnf(c_15297,plain,
( sk_c8 = sk_c7
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_13779,c_15219]) ).
cnf(c_15317,plain,
multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c8,X0),
inference(global_subsumption_just,[status(thm)],[c_12801,c_15131]) ).
cnf(c_15322,plain,
multiply(sk_c8,inverse(sk_c7)) = multiply(sk_c4,identity),
inference(superposition,[status(thm)],[c_1269,c_15317]) ).
cnf(c_15331,plain,
multiply(sk_c8,inverse(sk_c7)) = sk_c4,
inference(light_normalisation,[status(thm)],[c_15322,c_12718,c_12722]) ).
cnf(c_15433,plain,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_14844,c_15218]) ).
cnf(c_15436,plain,
( sk_c7 != sk_c4
| sP1_iProver_split
| sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_4374,c_15433]) ).
cnf(c_15437,plain,
( sk_c8 = sk_c7
| sP1_iProver_split
| sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_3222,c_15433]) ).
cnf(c_15459,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_3541,c_15036]) ).
cnf(c_15466,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm)],[c_15459,c_12679]) ).
cnf(c_15472,plain,
( sk_c8 != identity
| ~ sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_13417,c_15466]) ).
cnf(c_19787,plain,
( sk_c8 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_12624,c_12395]) ).
cnf(c_19800,plain,
sk_c6 = identity,
inference(global_subsumption_just,[status(thm)],[c_19787,c_84,c_382,c_1010,c_1032,c_1167,c_1188,c_1201,c_1314,c_1910,c_1933,c_2117,c_2847,c_2850,c_2851,c_5409,c_14832,c_15218,c_15472,c_19787]) ).
cnf(c_19882,plain,
( multiply(sk_c8,identity) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(demodulation,[status(thm)],[c_56,c_19800]) ).
cnf(c_19975,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c8 = sk_c7 ),
inference(demodulation,[status(thm)],[c_19882,c_1232]) ).
cnf(c_20135,plain,
( sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_19975,c_12876]) ).
cnf(c_20144,plain,
~ sP2_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_787,c_1985,c_15472,c_20135]) ).
cnf(c_20147,plain,
( sk_c8 = sk_c7
| sP1_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_15437,c_20144]) ).
cnf(c_20148,plain,
( sk_c7 != sk_c4
| sP1_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_15436,c_20144]) ).
cnf(c_20183,plain,
sk_c8 = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_20147,c_382,c_1032,c_1167,c_1201,c_1314,c_1985,c_2847,c_3182,c_14832,c_15297,c_15472,c_20135]) ).
cnf(c_20204,plain,
multiply(sk_c8,inverse(sk_c8)) = sk_c4,
inference(demodulation,[status(thm)],[c_15331,c_20183]) ).
cnf(c_20206,plain,
multiply(sk_c4,sk_c8) = sk_c8,
inference(demodulation,[status(thm)],[c_15459,c_20183]) ).
cnf(c_20215,plain,
sk_c8 = identity,
inference(light_normalisation,[status(thm)],[c_20206,c_12677]) ).
cnf(c_20217,plain,
sk_c4 = identity,
inference(light_normalisation,[status(thm)],[c_20204,c_12678,c_12680]) ).
cnf(c_20223,plain,
~ sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_13424,c_20215]) ).
cnf(c_20224,plain,
sk_c7 = identity,
inference(demodulation,[status(thm)],[c_20183,c_20215]) ).
cnf(c_20298,plain,
sk_c7 != sk_c4,
inference(global_subsumption_just,[status(thm)],[c_20148,c_4374,c_15218,c_20144,c_20223]) ).
cnf(c_20300,plain,
identity != identity,
inference(light_normalisation,[status(thm)],[c_20298,c_20217,c_20224]) ).
cnf(c_20301,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_20300]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP231-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 19:44:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.04/1.16 % SZS status Started for theBenchmark.p
% 4.04/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.04/1.16
% 4.04/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.04/1.16
% 4.04/1.16 ------ iProver source info
% 4.04/1.16
% 4.04/1.16 git: date: 2023-05-31 18:12:56 +0000
% 4.04/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.04/1.16 git: non_committed_changes: false
% 4.04/1.16 git: last_make_outside_of_git: false
% 4.04/1.16
% 4.04/1.16 ------ Parsing...successful
% 4.04/1.16
% 4.04/1.16
% 4.04/1.16
% 4.04/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.04/1.16
% 4.04/1.16 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.04/1.16
% 4.04/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.04/1.16 ------ Proving...
% 4.04/1.16 ------ Problem Properties
% 4.04/1.16
% 4.04/1.16
% 4.04/1.16 clauses 37
% 4.04/1.16 conjectures 34
% 4.04/1.16 EPR 0
% 4.04/1.16 Horn 6
% 4.04/1.16 unary 3
% 4.04/1.16 binary 30
% 4.04/1.16 lits 76
% 4.04/1.16 lits eq 70
% 4.04/1.16 fd_pure 0
% 4.04/1.16 fd_pseudo 0
% 4.04/1.16 fd_cond 0
% 4.04/1.16 fd_pseudo_cond 0
% 4.04/1.16 AC symbols 0
% 4.04/1.16
% 4.04/1.16 ------ Schedule dynamic 5 is on
% 4.04/1.16
% 4.04/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.04/1.16
% 4.04/1.16
% 4.04/1.16 ------
% 4.04/1.16 Current options:
% 4.04/1.16 ------
% 4.04/1.16
% 4.04/1.16
% 4.04/1.16
% 4.04/1.16
% 4.04/1.16 ------ Proving...
% 4.04/1.16
% 4.04/1.16
% 4.04/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.04/1.16
% 4.04/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.04/1.16
% 4.04/1.17
%------------------------------------------------------------------------------