TSTP Solution File: GRP308-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP308-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 00:59:15 EDT 2023
% Result : Unsatisfiable 8.12s 1.66s
% Output : CNFRefutation 8.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 43
% Syntax : Number of clauses : 349 ( 59 unt; 130 nHn; 320 RR)
% Number of literals : 830 ( 760 equ; 362 neg)
% Maximal clause size : 12 ( 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 : 133 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c2
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c2
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c2
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(X0,sk_c8) != X1
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c7) != sk_c6
| multiply(X4,sk_c8) != sk_c6
| multiply(sk_c8,X1) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c7
| inverse(X4) != sk_c6
| inverse(sk_c8) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_87,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_88,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c7) != sk_c6
| multiply(X3,sk_c8) != sk_c6
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6
| inverse(sk_c8) != sk_c6 ),
inference(unflattening,[status(thm)],[c_85]) ).
cnf(c_434,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_89]) ).
cnf(c_435,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_89]) ).
cnf(c_436,negated_conjecture,
( multiply(X0,sk_c8) != sk_c6
| inverse(X0) != sk_c6
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_89]) ).
cnf(c_437,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_89]) ).
cnf(c_438,negated_conjecture,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).
cnf(c_439,plain,
X0 = X0,
theory(equality) ).
cnf(c_440,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_441,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_442,plain,
( X0 != X1
| inverse(X0) = inverse(X1) ),
theory(equality) ).
cnf(c_444,plain,
( sk_c8 != sk_c8
| inverse(sk_c8) = inverse(sk_c8) ),
inference(instantiation,[status(thm)],[c_442]) ).
cnf(c_445,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_439]) ).
cnf(c_446,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c8) != sk_c7
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_434]) ).
cnf(c_447,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| inverse(sk_c8) != sk_c8
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_435]) ).
cnf(c_448,plain,
( multiply(sk_c8,sk_c8) != sk_c6
| inverse(sk_c8) != sk_c6
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_436]) ).
cnf(c_871,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_996,plain,
( multiply(sk_c8,sk_c7) != X0
| sk_c6 != X0
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_997,plain,
( multiply(sk_c8,sk_c7) != sk_c8
| sk_c6 != sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_996]) ).
cnf(c_999,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_1000,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_999]) ).
cnf(c_1001,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_439]) ).
cnf(c_1002,plain,
( sk_c8 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1000]) ).
cnf(c_1004,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_871,c_86]) ).
cnf(c_1015,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_61,c_1004]) ).
cnf(c_1018,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_49,c_1004]) ).
cnf(c_1029,plain,
( multiply(inverse(sk_c6),sk_c8) = sk_c7
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_65,c_1004]) ).
cnf(c_1030,plain,
( multiply(inverse(sk_c6),sk_c8) = sk_c7
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_64,c_1004]) ).
cnf(c_1031,plain,
( multiply(inverse(sk_c6),sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_62,c_1004]) ).
cnf(c_1038,plain,
( multiply(inverse(sk_c1),sk_c2) = sk_c8
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_77,c_1004]) ).
cnf(c_1039,plain,
( multiply(inverse(sk_c1),sk_c2) = sk_c8
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_76,c_1004]) ).
cnf(c_1040,plain,
( multiply(inverse(sk_c1),sk_c2) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_74,c_1004]) ).
cnf(c_1041,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_1004]) ).
cnf(c_1042,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_1004]) ).
cnf(c_1043,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_88,c_1004]) ).
cnf(c_1050,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1004,c_1004]) ).
cnf(c_1133,plain,
( inverse(sk_c5) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_1000]) ).
cnf(c_1134,plain,
( multiply(sk_c5,sk_c8) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_1000]) ).
cnf(c_1135,plain,
( inverse(sk_c8) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = inverse(sk_c8) ),
inference(instantiation,[status(thm)],[c_1000]) ).
cnf(c_1136,plain,
( multiply(identity,sk_c6) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1000]) ).
cnf(c_1137,plain,
multiply(identity,sk_c6) = sk_c6,
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1139,plain,
( X0 != X1
| sk_c6 != X1
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_1152,plain,
( X0 != inverse(sk_c5)
| sk_c6 != inverse(sk_c5)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1139]) ).
cnf(c_1157,plain,
( X0 != multiply(sk_c5,sk_c8)
| sk_c6 != multiply(sk_c5,sk_c8)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1139]) ).
cnf(c_1158,plain,
( X0 != multiply(sk_c5,sk_c8)
| sk_c6 != multiply(sk_c5,sk_c8)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_999]) ).
cnf(c_1159,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| sk_c6 != multiply(sk_c5,sk_c8)
| sk_c6 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1158]) ).
cnf(c_1162,plain,
( X0 != inverse(sk_c8)
| sk_c6 != inverse(sk_c8)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1139]) ).
cnf(c_1168,plain,
( X0 != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_999]) ).
cnf(c_1169,plain,
( sk_c8 != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| sk_c6 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1168]) ).
cnf(c_1171,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_1000]) ).
cnf(c_1173,plain,
( inverse(X0) != X1
| sk_c7 != X1
| inverse(X0) = sk_c7 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_1195,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1042,c_1050]) ).
cnf(c_1203,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1195,c_1041]) ).
cnf(c_1220,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1050,c_87]) ).
cnf(c_1223,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1050,c_1004]) ).
cnf(c_1224,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1050,c_1195]) ).
cnf(c_1225,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1224,c_1195]) ).
cnf(c_1240,plain,
inverse(inverse(sk_c8)) = sk_c8,
inference(instantiation,[status(thm)],[c_1225]) ).
cnf(c_1264,plain,
( inverse(X0) != inverse(sk_c5)
| sk_c6 != inverse(sk_c5)
| inverse(X0) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1152]) ).
cnf(c_1275,plain,
( inverse(sk_c8) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_53,c_434]) ).
cnf(c_1276,plain,
( inverse(sk_c8) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_52,c_434]) ).
cnf(c_1280,plain,
( inverse(sk_c4) != sk_c7
| ~ sP0_iProver_split
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_51,c_434]) ).
cnf(c_1282,plain,
( inverse(sk_c4) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_434]) ).
cnf(c_1287,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c6 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_434]) ).
cnf(c_1347,plain,
( multiply(sk_c5,sk_c8) != X0
| X1 != X0
| X1 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_1348,plain,
( multiply(sk_c5,sk_c8) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_1347]) ).
cnf(c_1377,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_435]) ).
cnf(c_1471,plain,
( multiply(identity,sk_c6) != X0
| X1 != X0
| X1 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_1495,plain,
( inverse(sk_c5) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_60,c_436]) ).
cnf(c_1584,plain,
( inverse(X0) != X1
| sk_c8 != X1
| inverse(X0) = sk_c8 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_1586,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_1592,plain,
( X0 != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1139]) ).
cnf(c_1593,plain,
( X0 != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_999]) ).
cnf(c_1688,plain,
( multiply(sk_c8,sk_c2) != sk_c7
| inverse(sk_c1) != sk_c8
| ~ sP3_iProver_split
| multiply(sk_c5,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_78,c_437]) ).
cnf(c_1691,plain,
( multiply(sk_c8,sk_c2) != sk_c7
| inverse(sk_c1) != sk_c8
| ~ sP3_iProver_split
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_77,c_437]) ).
cnf(c_1692,plain,
( multiply(sk_c8,sk_c2) != sk_c7
| inverse(sk_c1) != sk_c8
| ~ sP3_iProver_split
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_76,c_437]) ).
cnf(c_1693,plain,
( multiply(sk_c8,sk_c2) != sk_c7
| inverse(sk_c1) != sk_c8
| ~ sP3_iProver_split
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_74,c_437]) ).
cnf(c_1694,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| inverse(identity) != sk_c8
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_86,c_437]) ).
cnf(c_1697,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| sk_c8 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1694,c_1203]) ).
cnf(c_2054,plain,
( multiply(sk_c6,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c6
| inverse(sk_c3) = sk_c8
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_50,c_438]) ).
cnf(c_2137,plain,
( inverse(sk_c5) != X0
| X1 != X0
| inverse(sk_c5) = X1 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_2149,plain,
( multiply(sk_c3,sk_c8) = identity
| inverse(sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_56,c_1220]) ).
cnf(c_2150,plain,
( multiply(sk_c4,sk_c7) = identity
| inverse(sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_58,c_1220]) ).
cnf(c_2153,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_82,c_1220]) ).
cnf(c_2154,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_80,c_1220]) ).
cnf(c_2159,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1220,c_88]) ).
cnf(c_2178,plain,
( multiply(sk_c5,sk_c8) != X0
| X1 != X0
| multiply(sk_c5,sk_c8) = X1 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_2188,plain,
sk_c5 = sk_c5,
inference(instantiation,[status(thm)],[c_439]) ).
cnf(c_2202,plain,
( inverse(sk_c8) = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2149,c_55]) ).
cnf(c_2243,plain,
( inverse(sk_c8) = sk_c6
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_59,c_1225]) ).
cnf(c_2245,plain,
( inverse(sk_c8) = sk_c1
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_82,c_1225]) ).
cnf(c_2246,plain,
( inverse(sk_c8) = sk_c1
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_80,c_1225]) ).
cnf(c_2275,plain,
( multiply(sk_c4,multiply(sk_c7,X0)) = X0
| inverse(sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_58,c_1223]) ).
cnf(c_2277,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = X0
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_83,c_1223]) ).
cnf(c_2285,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c8 != sk_c7
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_1223,c_437]) ).
cnf(c_2300,plain,
( sk_c8 != sk_c7
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2285,c_1225]) ).
cnf(c_2316,plain,
( multiply(identity,sk_c6) != X0
| X1 != X0
| multiply(identity,sk_c6) = X1 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_2321,plain,
( multiply(identity,sk_c6) != sk_c6
| X0 != sk_c6
| X0 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1471]) ).
cnf(c_2350,plain,
( inverse(sk_c6) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2202,c_1225]) ).
cnf(c_2451,plain,
( multiply(sk_c4,sk_c7) = identity
| inverse(sk_c8) = sk_c1 ),
inference(superposition,[status(thm)],[c_2245,c_1220]) ).
cnf(c_2468,plain,
( inverse(sk_c8) != sk_c6
| sk_c8 != sk_c6
| inverse(sk_c8) = sk_c8 ),
inference(instantiation,[status(thm)],[c_1584]) ).
cnf(c_2473,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_2485,plain,
( multiply(sk_c3,sk_c8) = identity
| inverse(sk_c8) = sk_c1 ),
inference(superposition,[status(thm)],[c_2246,c_1220]) ).
cnf(c_2513,plain,
( inverse(sk_c8) = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2150,c_57]) ).
cnf(c_2546,plain,
( inverse(sk_c6) = sk_c8
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2513,c_1225]) ).
cnf(c_2579,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1586]) ).
cnf(c_2580,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_439]) ).
cnf(c_2581,plain,
( sk_c8 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_2579]) ).
cnf(c_2650,plain,
( multiply(X0,X1) != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c6 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1593]) ).
cnf(c_2651,plain,
( X0 != sk_c8
| X1 != sk_c7
| multiply(X0,X1) = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_2652,plain,
( multiply(sk_c8,sk_c8) != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c6 = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_2650]) ).
cnf(c_2653,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c7
| multiply(sk_c8,sk_c8) = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_2651]) ).
cnf(c_2829,plain,
( inverse(sk_c4) = sk_c7
| sk_c2 = identity ),
inference(superposition,[status(thm)],[c_2153,c_76]) ).
cnf(c_2876,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_2877,plain,
( sk_c8 != sk_c8
| sk_c7 != sk_c8
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_2876]) ).
cnf(c_2884,plain,
( multiply(sk_c4,sk_c7) = identity
| sk_c2 = identity ),
inference(superposition,[status(thm)],[c_2829,c_1220]) ).
cnf(c_2921,plain,
( inverse(sk_c3) = sk_c8
| sk_c2 = identity ),
inference(superposition,[status(thm)],[c_2154,c_74]) ).
cnf(c_2954,plain,
( multiply(sk_c3,sk_c8) = identity
| sk_c2 = identity ),
inference(superposition,[status(thm)],[c_2921,c_1220]) ).
cnf(c_3120,plain,
( X0 != X1
| sk_c5 != X1
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_3356,plain,
( multiply(sk_c4,multiply(sk_c7,inverse(sk_c6))) = identity
| inverse(sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_2159]) ).
cnf(c_3611,plain,
( inverse(sk_c5) != sk_c6
| X0 != sk_c6
| inverse(sk_c5) = X0 ),
inference(instantiation,[status(thm)],[c_2137]) ).
cnf(c_3612,plain,
( inverse(sk_c5) != sk_c6
| sk_c8 != sk_c6
| inverse(sk_c5) = sk_c8 ),
inference(instantiation,[status(thm)],[c_3611]) ).
cnf(c_3630,plain,
( multiply(sk_c5,sk_c8) != sk_c6
| X0 != sk_c6
| multiply(sk_c5,sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_2178]) ).
cnf(c_3658,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_3682,plain,
( multiply(identity,sk_c6) != sk_c6
| inverse(sk_c8) != sk_c6
| inverse(sk_c8) = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_2321]) ).
cnf(c_3689,plain,
( multiply(identity,sk_c6) != sk_c6
| multiply(identity,sk_c6) = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_2321]) ).
cnf(c_3825,plain,
( multiply(identity,sk_c6) != multiply(identity,sk_c6)
| X0 != multiply(identity,sk_c6)
| multiply(identity,sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_2316]) ).
cnf(c_3890,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2546,c_1029]) ).
cnf(c_3891,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2350,c_1029]) ).
cnf(c_3894,plain,
( inverse(inverse(sk_c6)) != sk_c6
| sk_c7 != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_1029,c_436]) ).
cnf(c_3912,plain,
( sk_c7 != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c5) = sk_c6 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3894,c_1225]) ).
cnf(c_3926,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2546,c_1030]) ).
cnf(c_3927,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2350,c_1030]) ).
cnf(c_3930,plain,
( inverse(inverse(sk_c6)) != sk_c6
| sk_c7 != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_1030,c_436]) ).
cnf(c_3948,plain,
( sk_c7 != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c4) = sk_c7 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3930,c_1225]) ).
cnf(c_3962,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2546,c_1031]) ).
cnf(c_3963,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2350,c_1031]) ).
cnf(c_3966,plain,
( inverse(inverse(sk_c6)) != sk_c6
| sk_c7 != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_1031,c_436]) ).
cnf(c_3984,plain,
( sk_c7 != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c3) = sk_c8 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3966,c_1225]) ).
cnf(c_4385,plain,
( multiply(sk_c8,sk_c2) = sk_c8
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_83,c_1038]) ).
cnf(c_4406,plain,
( inverse(sk_c8) != multiply(identity,sk_c6)
| sk_c8 != multiply(identity,sk_c6)
| inverse(sk_c8) = sk_c8 ),
inference(instantiation,[status(thm)],[c_1584]) ).
cnf(c_4427,plain,
( inverse(sk_c5) = sk_c6
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4385,c_71]) ).
cnf(c_4513,plain,
( multiply(sk_c8,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_82,c_1039]) ).
cnf(c_4536,plain,
( inverse(sk_c4) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4513,c_70]) ).
cnf(c_4737,plain,
( multiply(sk_c8,sk_c2) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_80,c_1040]) ).
cnf(c_4918,plain,
( inverse(sk_c3) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4737,c_68]) ).
cnf(c_4941,plain,
( multiply(sk_c3,sk_c8) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4918,c_1220]) ).
cnf(c_5041,plain,
( inverse(sk_c3) != sk_c8
| X0 != sk_c8
| inverse(sk_c3) = X0 ),
inference(instantiation,[status(thm)],[c_2473]) ).
cnf(c_5881,plain,
( ~ sP0_iProver_split
| inverse(sk_c8) != sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1275,c_446,c_1276,c_1280]) ).
cnf(c_5882,plain,
( inverse(sk_c8) != sk_c7
| ~ sP0_iProver_split ),
inference(renaming,[status(thm)],[c_5881]) ).
cnf(c_5890,plain,
( sk_c7 != sk_c6
| ~ sP0_iProver_split
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2513,c_5882]) ).
cnf(c_6197,plain,
( inverse(sk_c8) != sk_c6
| sk_c7 != sk_c6
| inverse(sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1173]) ).
cnf(c_6202,plain,
( inverse(X0) != inverse(X1)
| sk_c7 != inverse(X1)
| inverse(X0) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1173]) ).
cnf(c_6203,plain,
( inverse(sk_c8) != inverse(sk_c8)
| sk_c7 != inverse(sk_c8)
| inverse(sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_6202]) ).
cnf(c_6281,plain,
( multiply(inverse(sk_c6),multiply(sk_c4,multiply(sk_c7,X0))) = X0
| inverse(sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_1043]) ).
cnf(c_6508,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_1220,c_1043]) ).
cnf(c_6528,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_6508,c_1195]) ).
cnf(c_7318,plain,
( sk_c7 != X0
| sk_c6 != X0
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1586]) ).
cnf(c_7320,plain,
( multiply(sk_c5,sk_c8) != sk_c6
| sk_c7 != sk_c6
| multiply(sk_c5,sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_3630]) ).
cnf(c_7327,plain,
( multiply(identity,sk_c6) != sk_c6
| sk_c7 != sk_c6
| sk_c7 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_2321]) ).
cnf(c_7341,plain,
( sk_c7 != multiply(sk_c5,sk_c8)
| sk_c6 != multiply(sk_c5,sk_c8)
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1157]) ).
cnf(c_7343,plain,
( inverse(sk_c8) != X0
| sk_c7 != X0
| sk_c7 = inverse(sk_c8) ),
inference(instantiation,[status(thm)],[c_1586]) ).
cnf(c_7345,plain,
( sk_c7 != inverse(sk_c8)
| sk_c6 != inverse(sk_c8)
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1162]) ).
cnf(c_7346,plain,
( inverse(sk_c8) != sk_c8
| sk_c7 != sk_c8
| sk_c7 = inverse(sk_c8) ),
inference(instantiation,[status(thm)],[c_7343]) ).
cnf(c_7365,plain,
( multiply(sk_c8,sk_c7) != X0
| sk_c7 != X0
| sk_c7 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_1586]) ).
cnf(c_7366,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1592]) ).
cnf(c_7368,plain,
( multiply(sk_c8,sk_c7) != sk_c8
| sk_c7 != sk_c8
| sk_c7 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_7365]) ).
cnf(c_7422,plain,
( sk_c7 != sk_c7
| sk_c6 != sk_c7
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_2579]) ).
cnf(c_7500,plain,
( inverse(X0) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_2579]) ).
cnf(c_7502,plain,
( inverse(sk_c8) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = inverse(sk_c8) ),
inference(instantiation,[status(thm)],[c_7500]) ).
cnf(c_7777,plain,
( multiply(sk_c5,sk_c8) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_2579]) ).
cnf(c_7971,plain,
( X0 != multiply(X1,X2)
| sk_c6 != multiply(X1,X2)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_999]) ).
cnf(c_7975,plain,
( multiply(sk_c5,sk_c8) != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_2650]) ).
cnf(c_8040,plain,
( sk_c8 != sk_c7
| sk_c5 != sk_c8
| multiply(sk_c5,sk_c8) = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_2651]) ).
cnf(c_8048,plain,
( multiply(X0,X1) != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| multiply(X0,X1) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1592]) ).
cnf(c_8050,plain,
( multiply(sk_c8,sk_c8) != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| multiply(sk_c8,sk_c8) = sk_c6 ),
inference(instantiation,[status(thm)],[c_8048]) ).
cnf(c_8176,plain,
( inverse(sk_c3) != sk_c6
| sk_c6 != identity
| ~ sP2_iProver_split
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4941,c_436]) ).
cnf(c_8254,plain,
( multiply(identity,sk_c6) != sk_c7
| X0 != sk_c7
| X0 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1471]) ).
cnf(c_8256,plain,
( multiply(identity,sk_c6) != sk_c7
| sk_c8 != sk_c7
| sk_c8 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_8254]) ).
cnf(c_8349,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_1004,c_6528]) ).
cnf(c_8803,plain,
( X0 != sk_c5
| sk_c5 != sk_c5
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_3120]) ).
cnf(c_8804,plain,
( sk_c8 != sk_c5
| sk_c5 != sk_c5
| sk_c5 = sk_c8 ),
inference(instantiation,[status(thm)],[c_8803]) ).
cnf(c_8901,plain,
( inverse(sk_c3) != sk_c8
| X0 != sk_c8
| X0 = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_3658]) ).
cnf(c_8902,plain,
( inverse(sk_c3) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_8901]) ).
cnf(c_8989,plain,
( multiply(identity,sk_c6) != multiply(identity,sk_c6)
| sk_c7 != multiply(identity,sk_c6)
| multiply(identity,sk_c6) = sk_c7 ),
inference(instantiation,[status(thm)],[c_3825]) ).
cnf(c_9062,plain,
( ~ sP0_iProver_split
| inverse(sk_c8) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_1282,c_58,c_1282]) ).
cnf(c_9086,plain,
( ~ sP2_iProver_split
| inverse(sk_c8) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_1495,c_59,c_1495]) ).
cnf(c_9447,plain,
( inverse(sk_c8) = sk_c1
| inverse(sk_c1) = sk_c8
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2451,c_81]) ).
cnf(c_9514,plain,
( multiply(sk_c1,sk_c7) = sk_c2
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_71,c_2277]) ).
cnf(c_9729,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c2,X0)
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_9514,c_88]) ).
cnf(c_10074,plain,
( inverse(sk_c8) = sk_c1
| inverse(sk_c1) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2485,c_79]) ).
cnf(c_10798,plain,
( inverse(sk_c3) != sk_c8
| inverse(sk_c5) != sk_c8
| inverse(sk_c3) = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_5041]) ).
cnf(c_10815,plain,
( inverse(sk_c3) != X0
| sk_c7 != X0
| inverse(sk_c3) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1173]) ).
cnf(c_11954,plain,
( X0 != inverse(sk_c3)
| sk_c7 != inverse(sk_c3)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1586]) ).
cnf(c_11955,plain,
( sk_c8 != inverse(sk_c3)
| sk_c7 != inverse(sk_c3)
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_11954]) ).
cnf(c_12907,plain,
( ~ sP0_iProver_split
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_1280,c_52,c_1280]) ).
cnf(c_12913,plain,
( sk_c7 != sk_c7
| sk_c6 != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_1287,c_1225]) ).
cnf(c_12914,plain,
( sk_c6 != identity
| ~ sP0_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_12913]) ).
cnf(c_12937,plain,
( sk_c7 != identity
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1377,c_1240,c_1377]) ).
cnf(c_13394,plain,
( inverse(sk_c8) = sk_c6
| inverse(sk_c6) = identity ),
inference(superposition,[status(thm)],[c_3356,c_2275]) ).
cnf(c_14173,plain,
( inverse(sk_c8) = sk_c6
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_13394,c_2243]) ).
cnf(c_14824,plain,
( inverse(sk_c6) = sk_c8
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_14173,c_1225]) ).
cnf(c_16918,plain,
( ~ sP0_iProver_split
| sk_c7 != sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_5890,c_58,c_446,c_1282,c_1276,c_1280,c_6197]) ).
cnf(c_16919,plain,
( sk_c7 != sk_c6
| ~ sP0_iProver_split ),
inference(renaming,[status(thm)],[c_16918]) ).
cnf(c_17253,plain,
( inverse(sk_c8) = sk_c1
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_9447,c_1225]) ).
cnf(c_17276,plain,
( inverse(sk_c8) = sk_c1
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_10074,c_1225]) ).
cnf(c_17528,plain,
( multiply(sk_c1,sk_c8) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_17253,c_87]) ).
cnf(c_17905,plain,
( multiply(sk_c1,sk_c8) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_17276,c_87]) ).
cnf(c_18375,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| sk_c6 = identity
| sk_c2 = identity ),
inference(superposition,[status(thm)],[c_17528,c_75]) ).
cnf(c_18475,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| sk_c7 = identity
| sk_c2 = identity ),
inference(superposition,[status(thm)],[c_17905,c_73]) ).
cnf(c_18480,plain,
( inverse(sk_c1) != sk_c6
| sk_c6 != identity
| ~ sP2_iProver_split
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_17905,c_436]) ).
cnf(c_18733,plain,
( sk_c6 = identity
| sk_c2 = identity ),
inference(superposition,[status(thm)],[c_18375,c_2884]) ).
cnf(c_18889,plain,
( sk_c7 = identity
| sk_c2 = identity ),
inference(superposition,[status(thm)],[c_18475,c_2954]) ).
cnf(c_19489,plain,
( inverse(sk_c8) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_53,c_434]) ).
cnf(c_19490,plain,
( inverse(sk_c8) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_52,c_434]) ).
cnf(c_19491,plain,
( inverse(sk_c8) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_50,c_434]) ).
cnf(c_21113,plain,
( inverse(sk_c8) != sk_c7
| inverse(sk_c5) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_19489,c_83,c_59,c_71,c_65,c_53,c_447,c_438,c_1001,c_1135,c_1137,c_1240,c_1377,c_1691,c_2580,c_3682,c_3689,c_3912,c_3891,c_4406,c_4427,c_5882,c_7327,c_7345,c_7502,c_8256,c_8989]) ).
cnf(c_21390,plain,
( inverse(sk_c8) != sk_c7
| inverse(sk_c4) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_19490,c_82,c_58,c_70,c_64,c_52,c_447,c_438,c_1001,c_1135,c_1137,c_1240,c_1377,c_1692,c_2580,c_3682,c_3689,c_3948,c_3927,c_4406,c_4536,c_5882,c_7327,c_7345,c_7502,c_8256,c_8989]) ).
cnf(c_21405,plain,
( inverse(sk_c8) != sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_19491,c_80,c_56,c_68,c_62,c_447,c_1001,c_1135,c_1137,c_1240,c_1377,c_1693,c_2054,c_2580,c_3682,c_3689,c_3984,c_3963,c_4406,c_4918,c_5882,c_7327,c_7345,c_7502,c_8256,c_8989]) ).
cnf(c_22323,plain,
( multiply(sk_c8,identity) = sk_c7
| inverse(sk_c4) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_18889,c_70]) ).
cnf(c_22324,plain,
( multiply(sk_c8,identity) = sk_c7
| inverse(sk_c3) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_18889,c_68]) ).
cnf(c_23715,plain,
( sk_c7 != identity
| sk_c6 != identity
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_7318]) ).
cnf(c_25441,plain,
( inverse(sk_c3) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_7500]) ).
cnf(c_26452,plain,
( multiply(X0,X1) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_2579]) ).
cnf(c_26453,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_26452]) ).
cnf(c_27857,plain,
( inverse(sk_c3) != sk_c6
| sk_c7 != sk_c6
| inverse(sk_c3) = sk_c7 ),
inference(instantiation,[status(thm)],[c_10815]) ).
cnf(c_27859,plain,
( inverse(sk_c3) != inverse(sk_c5)
| sk_c6 != inverse(sk_c5)
| inverse(sk_c3) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1264]) ).
cnf(c_28616,plain,
( sk_c7 != multiply(X0,X1)
| sk_c6 != multiply(X0,X1)
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_7971]) ).
cnf(c_28617,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c6 != multiply(sk_c8,sk_c8)
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_28616]) ).
cnf(c_28618,plain,
inverse(sk_c5) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_9729,c_59,c_53,c_445,c_1001,c_1171,c_2580,c_2652,c_2653,c_3891,c_3890,c_4427,c_6197,c_7422,c_21113,c_23715,c_26453,c_28617]) ).
cnf(c_28669,plain,
multiply(sk_c5,multiply(sk_c6,X0)) = X0,
inference(superposition,[status(thm)],[c_28618,c_1223]) ).
cnf(c_28670,plain,
inverse(sk_c6) = sk_c5,
inference(superposition,[status(thm)],[c_28618,c_1225]) ).
cnf(c_28672,plain,
multiply(sk_c6,multiply(sk_c5,X0)) = X0,
inference(superposition,[status(thm)],[c_28618,c_1004]) ).
cnf(c_28686,plain,
( sk_c8 = sk_c5
| sk_c5 = identity ),
inference(demodulation,[status(thm)],[c_14824,c_28670]) ).
cnf(c_28838,plain,
inverse(sk_c4) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_22323,c_58,c_52,c_445,c_1001,c_1171,c_2580,c_2652,c_2653,c_3927,c_3926,c_4536,c_6197,c_7422,c_21390,c_23715,c_26453,c_28617]) ).
cnf(c_28886,plain,
multiply(sk_c4,multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_28838,c_1223]) ).
cnf(c_28887,plain,
inverse(sk_c7) = sk_c4,
inference(superposition,[status(thm)],[c_28838,c_1225]) ).
cnf(c_28888,plain,
multiply(sk_c4,sk_c7) = identity,
inference(superposition,[status(thm)],[c_28838,c_1220]) ).
cnf(c_28955,plain,
( multiply(sk_c1,sk_c8) = sk_c2
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_75,c_28888]) ).
cnf(c_28956,plain,
( multiply(sk_c8,sk_c2) = sk_c7
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_69,c_28888]) ).
cnf(c_28957,plain,
( multiply(sk_c6,sk_c7) = sk_c8
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_63,c_28888]) ).
cnf(c_28999,plain,
( inverse(sk_c1) != sk_c6
| sk_c6 != sk_c2
| ~ sP2_iProver_split
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_28955,c_436]) ).
cnf(c_29030,plain,
( multiply(sk_c8,identity) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_18733,c_28956]) ).
cnf(c_29091,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_28957,c_28669]) ).
cnf(c_29173,plain,
inverse(sk_c3) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_22324,c_56,c_50,c_445,c_1001,c_1171,c_2580,c_2652,c_2653,c_3963,c_3962,c_4918,c_6197,c_7422,c_21405,c_23715,c_26453,c_28617]) ).
cnf(c_29191,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(demodulation,[status(thm)],[c_1018,c_29173]) ).
cnf(c_29192,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c8 ),
inference(demodulation,[status(thm)],[c_1015,c_29173]) ).
cnf(c_29218,plain,
inverse(sk_c8) = sk_c3,
inference(superposition,[status(thm)],[c_29173,c_1225]) ).
cnf(c_29219,plain,
multiply(sk_c3,sk_c8) = identity,
inference(superposition,[status(thm)],[c_29173,c_1220]) ).
cnf(c_29247,plain,
( ~ sP2_iProver_split
| sk_c6 = sk_c3 ),
inference(demodulation,[status(thm)],[c_9086,c_29218]) ).
cnf(c_29259,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c8
| sk_c6 != sk_c3
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_438,c_29218]) ).
cnf(c_29261,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| sk_c6 = sk_c3 ),
inference(demodulation,[status(thm)],[c_60,c_29218]) ).
cnf(c_29317,plain,
( multiply(sk_c6,sk_c7) = sk_c8
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_61,c_29219]) ).
cnf(c_29531,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_29317,c_28669]) ).
cnf(c_29813,plain,
( multiply(sk_c8,sk_c8) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c8
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_28686,c_66]) ).
cnf(c_30090,plain,
( multiply(sk_c5,X0) = X0
| sk_c6 = sk_c3 ),
inference(light_normalisation,[status(thm)],[c_6281,c_28670,c_28886,c_29218]) ).
cnf(c_30112,plain,
( sk_c8 = sk_c6
| sk_c6 = sk_c3 ),
inference(superposition,[status(thm)],[c_30090,c_29261]) ).
cnf(c_30385,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_29192,c_28669]) ).
cnf(c_31137,plain,
( inverse(sk_c6) = sk_c8
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_30112,c_29173]) ).
cnf(c_31138,plain,
( sk_c8 = sk_c6
| sk_c8 = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_31137,c_28670]) ).
cnf(c_31172,plain,
( multiply(sk_c8,sk_c8) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c8
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_31138,c_66]) ).
cnf(c_31524,plain,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c8,sk_c8) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_29813,c_59,c_56,c_53,c_50,c_445,c_997,c_1002,c_1001,c_1133,c_1171,c_2580,c_2652,c_2653,c_2877,c_3612,c_3891,c_3890,c_3963,c_3962,c_4427,c_4918,c_6197,c_7422,c_8050,c_8902,c_10798,c_11955,c_21113,c_21405,c_23715,c_25441,c_26453,c_27857,c_27859,c_28617,c_28957,c_29192,c_29317,c_31172]) ).
cnf(c_31525,plain,
( multiply(sk_c8,sk_c8) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c8 ),
inference(renaming,[status(thm)],[c_31524]) ).
cnf(c_31533,plain,
( multiply(sk_c8,sk_c8) = sk_c6
| multiply(sk_c5,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_31525,c_28669]) ).
cnf(c_32048,plain,
( sk_c8 = sk_c7
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_29030,c_1195]) ).
cnf(c_32073,plain,
( multiply(sk_c5,multiply(identity,X0)) = X0
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_32048,c_28669]) ).
cnf(c_32076,plain,
( inverse(identity) = sk_c5
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_32048,c_28670]) ).
cnf(c_32082,plain,
( ~ sP0_iProver_split
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_32048,c_12914]) ).
cnf(c_32089,plain,
( sk_c8 = sk_c7
| sk_c5 = identity ),
inference(light_normalisation,[status(thm)],[c_32076,c_1203]) ).
cnf(c_32096,plain,
( multiply(sk_c5,X0) = X0
| sk_c8 = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_32073,c_86]) ).
cnf(c_32146,plain,
( multiply(sk_c5,sk_c8) = sk_c8
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_32096]) ).
cnf(c_32149,plain,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_32082,c_444,c_445,c_446,c_1001,c_1171,c_1276,c_1280,c_2188,c_2468,c_2581,c_2580,c_6203,c_7341,c_7346,c_7368,c_7366,c_7777,c_7975,c_8040,c_8804,c_9062,c_12907,c_16919,c_30385,c_31138,c_32082]) ).
cnf(c_32248,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_29091,c_84,c_60,c_72,c_66,c_54,c_444,c_445,c_446,c_448,c_438,c_1001,c_1171,c_1276,c_1280,c_1688,c_2188,c_2468,c_2581,c_2580,c_6203,c_7320,c_7341,c_7346,c_7368,c_7366,c_7777,c_7975,c_8040,c_8804,c_9062,c_12907,c_12937,c_16919,c_23715,c_29091,c_29531,c_30385,c_31138,c_31533,c_32082]) ).
cnf(c_32257,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_54,c_32248]) ).
cnf(c_32288,plain,
( inverse(sk_c5) != sk_c6
| sk_c7 != sk_c6
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_32248,c_436]) ).
cnf(c_32289,plain,
( inverse(sk_c5) != sk_c8
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_32248,c_435]) ).
cnf(c_32292,plain,
( sk_c8 = sk_c7
| sk_c6 = sk_c3 ),
inference(superposition,[status(thm)],[c_32248,c_30090]) ).
cnf(c_32294,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(superposition,[status(thm)],[c_32248,c_28672]) ).
cnf(c_32295,plain,
multiply(inverse(sk_c8),inverse(sk_c5)) = inverse(sk_c7),
inference(superposition,[status(thm)],[c_32248,c_8349]) ).
cnf(c_32299,plain,
( sk_c8 != sk_c6
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_32289,c_28618]) ).
cnf(c_32302,plain,
multiply(sk_c3,sk_c6) = sk_c4,
inference(light_normalisation,[status(thm)],[c_32295,c_28618,c_28887,c_29218]) ).
cnf(c_32319,plain,
( sk_c7 != sk_c6
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_32288,c_28618]) ).
cnf(c_32471,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_32257,c_54,c_445,c_997,c_1001,c_1134,c_1136,c_1137,c_1159,c_1169,c_1348,c_3689,c_7327,c_8256,c_8989,c_29191,c_32146,c_32257]) ).
cnf(c_32483,plain,
multiply(inverse(sk_c8),sk_c6) = sk_c7,
inference(superposition,[status(thm)],[c_32471,c_1004]) ).
cnf(c_32486,plain,
sk_c7 = sk_c4,
inference(light_normalisation,[status(thm)],[c_32483,c_29218,c_32302]) ).
cnf(c_32501,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm)],[c_28838,c_32486]) ).
cnf(c_33152,plain,
( sk_c8 != identity
| ~ sP1_iProver_split
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_32048,c_32299]) ).
cnf(c_33202,plain,
( inverse(sk_c6) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_32292,c_29173]) ).
cnf(c_33203,plain,
( sk_c8 = sk_c7
| sk_c8 = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_33202,c_28670]) ).
cnf(c_35396,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_33203,c_32248]) ).
cnf(c_35397,plain,
( sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_33203,c_32089]) ).
cnf(c_35475,plain,
( sk_c6 != identity
| inverse(sk_c3) != sk_c6
| sk_c8 = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_8176,c_54,c_444,c_445,c_446,c_997,c_1001,c_1134,c_1136,c_1137,c_1159,c_1169,c_1171,c_1276,c_1280,c_1348,c_1697,c_2188,c_2468,c_2581,c_2580,c_3689,c_6203,c_7327,c_7341,c_7346,c_7368,c_7366,c_7777,c_7975,c_8040,c_8176,c_8256,c_8804,c_8989,c_9062,c_12907,c_16919,c_29191,c_29259,c_30385,c_31138,c_32082,c_32146,c_32257,c_32294,c_32292,c_33152,c_35397,c_35396]) ).
cnf(c_35476,plain,
( inverse(sk_c3) != sk_c6
| sk_c6 != identity
| sk_c8 = sk_c7 ),
inference(renaming,[status(thm)],[c_35475]) ).
cnf(c_35477,plain,
( sk_c8 != sk_c6
| sk_c6 != identity
| sk_c8 = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_35476,c_29173]) ).
cnf(c_35481,plain,
( sk_c8 != sk_c6
| sk_c8 = sk_c7 ),
inference(forward_subsumption_resolution,[status(thm)],[c_35477,c_32048]) ).
cnf(c_35484,plain,
( sk_c8 != identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_32048,c_35481]) ).
cnf(c_35497,plain,
sk_c8 = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_35397,c_35397,c_35484]) ).
cnf(c_35508,plain,
( sk_c8 != sk_c6
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_32319,c_35497]) ).
cnf(c_35518,plain,
inverse(sk_c8) = sk_c8,
inference(demodulation,[status(thm)],[c_32501,c_35497]) ).
cnf(c_35557,plain,
sk_c8 = sk_c3,
inference(light_normalisation,[status(thm)],[c_35518,c_29218]) ).
cnf(c_35642,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm)],[c_30112,c_35557]) ).
cnf(c_35651,plain,
( ~ sP2_iProver_split
| sk_c8 = sk_c6 ),
inference(demodulation,[status(thm)],[c_29247,c_35557]) ).
cnf(c_35658,plain,
~ sP2_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_35508,c_35651]) ).
cnf(c_35669,plain,
~ sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_32299,c_35642]) ).
cnf(c_35724,plain,
sk_c7 = identity,
inference(global_subsumption_just,[status(thm)],[c_18480,c_54,c_444,c_445,c_446,c_438,c_997,c_1001,c_1134,c_1136,c_1137,c_1159,c_1169,c_1171,c_1276,c_1280,c_1348,c_2188,c_2202,c_2300,c_2468,c_2581,c_2580,c_3689,c_6203,c_7327,c_7341,c_7346,c_7368,c_7366,c_7777,c_7975,c_8040,c_8256,c_8804,c_8989,c_9062,c_12907,c_16919,c_29191,c_30385,c_31138,c_32082,c_32146,c_32257,c_32294,c_35397,c_35484,c_35669,c_35658]) ).
cnf(c_35726,plain,
sk_c8 = identity,
inference(demodulation,[status(thm)],[c_35497,c_35724]) ).
cnf(c_35727,plain,
sk_c6 = identity,
inference(global_subsumption_just,[status(thm)],[c_28999,c_54,c_444,c_445,c_446,c_438,c_997,c_1001,c_1134,c_1136,c_1137,c_1159,c_1169,c_1171,c_1276,c_1280,c_1348,c_2188,c_2300,c_2468,c_2513,c_2581,c_2580,c_3689,c_6203,c_7327,c_7341,c_7346,c_7368,c_7366,c_7777,c_7975,c_8040,c_8256,c_8804,c_8989,c_9062,c_12907,c_16919,c_29191,c_30385,c_31138,c_32082,c_32146,c_32257,c_32294,c_35397,c_35484,c_35669,c_35658]) ).
cnf(c_35740,plain,
sk_c3 = identity,
inference(light_normalisation,[status(thm)],[c_35557,c_35726]) ).
cnf(c_36507,plain,
sk_c6 != sk_c3,
inference(global_subsumption_just,[status(thm)],[c_29259,c_2300,c_29259,c_32149,c_32294,c_32471,c_35497,c_35669,c_35658]) ).
cnf(c_36509,plain,
identity != identity,
inference(light_normalisation,[status(thm)],[c_36507,c_35727,c_35740]) ).
cnf(c_36510,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_36509]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP308-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n009.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 01:16:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.12/1.66 % SZS status Started for theBenchmark.p
% 8.12/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 8.12/1.66
% 8.12/1.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.12/1.66
% 8.12/1.66 ------ iProver source info
% 8.12/1.66
% 8.12/1.66 git: date: 2023-05-31 18:12:56 +0000
% 8.12/1.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.12/1.66 git: non_committed_changes: false
% 8.12/1.66 git: last_make_outside_of_git: false
% 8.12/1.66
% 8.12/1.66 ------ Parsing...successful
% 8.12/1.66
% 8.12/1.66
% 8.12/1.66
% 8.12/1.66 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.12/1.66
% 8.12/1.66 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.12/1.66
% 8.12/1.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.12/1.66 ------ Proving...
% 8.12/1.66 ------ Problem Properties
% 8.12/1.66
% 8.12/1.66
% 8.12/1.66 clauses 44
% 8.12/1.66 conjectures 41
% 8.12/1.66 EPR 0
% 8.12/1.66 Horn 7
% 8.12/1.66 unary 3
% 8.12/1.66 binary 36
% 8.12/1.66 lits 94
% 8.12/1.66 lits eq 86
% 8.12/1.66 fd_pure 0
% 8.12/1.66 fd_pseudo 0
% 8.12/1.66 fd_cond 0
% 8.12/1.66 fd_pseudo_cond 0
% 8.12/1.66 AC symbols 0
% 8.12/1.66
% 8.12/1.66 ------ Schedule dynamic 5 is on
% 8.12/1.66
% 8.12/1.66 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.12/1.66
% 8.12/1.66
% 8.12/1.66 ------
% 8.12/1.66 Current options:
% 8.12/1.66 ------
% 8.12/1.66
% 8.12/1.66
% 8.12/1.66
% 8.12/1.66
% 8.12/1.66 ------ Proving...
% 8.12/1.66
% 8.12/1.66
% 8.12/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 8.12/1.66
% 8.12/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.12/1.66
% 8.12/1.67
%------------------------------------------------------------------------------