TSTP Solution File: GRP322-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP322-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 00:59:19 EDT 2023
% Result : Unsatisfiable 0.49s 1.19s
% Output : CNFRefutation 4.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 42
% Syntax : Number of clauses : 328 ( 68 unt; 127 nHn; 290 RR)
% Number of literals : 762 ( 704 equ; 307 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 148 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c9,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c9,sk_c6) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c9,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c5) = sk_c9
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c9,sk_c6) = sk_c8
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c9,sk_c6) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c9,sk_c6) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c6
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c5) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| multiply(X1,sk_c9) != X2
| multiply(X3,sk_c9) != sk_c8
| multiply(X4,sk_c9) != X5
| multiply(sk_c9,X2) != sk_c8
| multiply(sk_c9,X5) != sk_c8
| multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c9,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| inverse(X1) != sk_c9
| inverse(X3) != sk_c9
| inverse(X4) != sk_c9 ),
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_c9,multiply(X0,sk_c9)) != sk_c8
| multiply(sk_c9,multiply(X1,sk_c9)) != sk_c8
| multiply(X2,sk_c8) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c9,sk_c8) != sk_c7
| inverse(X0) != sk_c9
| inverse(X1) != sk_c9
| inverse(X2) != sk_c8
| inverse(X3) != sk_c9 ),
inference(unflattening,[status(thm)],[c_85]) ).
cnf(c_430,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_89]) ).
cnf(c_431,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_89]) ).
cnf(c_432,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_89]) ).
cnf(c_433,negated_conjecture,
( multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c9,sk_c8) != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).
cnf(c_434,plain,
X0 = X0,
theory(equality) ).
cnf(c_435,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_436,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_440,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_434]) ).
cnf(c_827,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
| multiply(sk_c9,sk_c6) = sk_c8 ),
inference(superposition,[status(thm)],[c_58,c_88]) ).
cnf(c_828,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
| multiply(sk_c4,sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_56,c_88]) ).
cnf(c_829,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_55,c_88]) ).
cnf(c_843,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_964,plain,
( multiply(sk_c8,sk_c9) != X0
| sk_c7 != X0
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(instantiation,[status(thm)],[c_435]) ).
cnf(c_967,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_435]) ).
cnf(c_968,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_967]) ).
cnf(c_969,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_434]) ).
cnf(c_972,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_843,c_86]) ).
cnf(c_984,plain,
( multiply(inverse(sk_c4),sk_c8) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_50,c_972]) ).
cnf(c_985,plain,
( multiply(inverse(sk_c4),sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_80,c_972]) ).
cnf(c_986,plain,
( multiply(inverse(sk_c4),sk_c8) = sk_c9
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_62,c_972]) ).
cnf(c_989,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_71,c_972]) ).
cnf(c_991,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c9
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_83,c_972]) ).
cnf(c_992,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c9
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_65,c_972]) ).
cnf(c_997,plain,
( multiply(inverse(sk_c1),sk_c9) = sk_c8
| inverse(sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_60,c_972]) ).
cnf(c_998,plain,
( multiply(inverse(sk_c1),sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_57,c_972]) ).
cnf(c_1005,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_74,c_972]) ).
cnf(c_1006,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_73,c_972]) ).
cnf(c_1007,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c9
| inverse(sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_78,c_972]) ).
cnf(c_1008,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c9
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_75,c_972]) ).
cnf(c_1009,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_972]) ).
cnf(c_1010,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_972]) ).
cnf(c_1016,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_972,c_972]) ).
cnf(c_1098,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_968]) ).
cnf(c_1099,plain,
( multiply(identity,sk_c7) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_968]) ).
cnf(c_1100,plain,
multiply(identity,sk_c7) = sk_c7,
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1102,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_435]) ).
cnf(c_1105,plain,
( multiply(sk_c8,sk_c9) != multiply(sk_c9,sk_c8)
| sk_c7 != multiply(sk_c9,sk_c8)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(instantiation,[status(thm)],[c_964]) ).
cnf(c_1106,plain,
( X0 != multiply(sk_c9,sk_c8)
| sk_c7 != multiply(sk_c9,sk_c8)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_967]) ).
cnf(c_1112,plain,
( X0 != multiply(sk_c9,sk_c8)
| sk_c7 != multiply(sk_c9,sk_c8)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1102]) ).
cnf(c_1113,plain,
( sk_c9 != multiply(sk_c9,sk_c8)
| sk_c7 != multiply(sk_c9,sk_c8)
| sk_c9 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1112]) ).
cnf(c_1114,plain,
( multiply(sk_c8,sk_c9) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(instantiation,[status(thm)],[c_964]) ).
cnf(c_1119,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_968]) ).
cnf(c_1123,plain,
( multiply(identity,multiply(sk_c9,sk_c8)) != multiply(sk_c9,sk_c8)
| sk_c7 != multiply(sk_c9,sk_c8)
| sk_c7 = multiply(identity,multiply(sk_c9,sk_c8)) ),
inference(instantiation,[status(thm)],[c_1106]) ).
cnf(c_1124,plain,
multiply(identity,multiply(sk_c9,sk_c8)) = multiply(sk_c9,sk_c8),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1126,plain,
( multiply(sk_c9,sk_c8) != X0
| X1 != X0
| X1 = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_435]) ).
cnf(c_1127,plain,
( multiply(sk_c9,sk_c8) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_1126]) ).
cnf(c_1129,plain,
( X0 != sk_c9
| X1 != sk_c8
| multiply(X0,X1) = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_436]) ).
cnf(c_1135,plain,
( multiply(sk_c9,sk_c8) != multiply(sk_c9,sk_c8)
| sk_c7 != multiply(sk_c9,sk_c8)
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1112]) ).
cnf(c_1136,plain,
multiply(sk_c9,sk_c8) = multiply(sk_c9,sk_c8),
inference(instantiation,[status(thm)],[c_434]) ).
cnf(c_1144,plain,
( multiply(identity,sk_c7) != X0
| X1 != X0
| X1 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_435]) ).
cnf(c_1147,plain,
( X0 != identity
| X1 != sk_c7
| multiply(X0,X1) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_436]) ).
cnf(c_1159,plain,
( X0 != X1
| sk_c8 != X1
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_435]) ).
cnf(c_1165,plain,
( multiply(sk_c8,sk_c9) != multiply(identity,multiply(sk_c9,sk_c8))
| sk_c7 != multiply(identity,multiply(sk_c9,sk_c8))
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(instantiation,[status(thm)],[c_964]) ).
cnf(c_1175,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1010,c_1016]) ).
cnf(c_1183,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1175,c_1009]) ).
cnf(c_1201,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1016,c_87]) ).
cnf(c_1204,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1016,c_972]) ).
cnf(c_1205,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1016,c_1175]) ).
cnf(c_1206,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1205,c_1175]) ).
cnf(c_1228,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| X0 != sk_c7
| X0 = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_1126]) ).
cnf(c_1231,plain,
( multiply(sk_c9,sk_c8) != X0
| X1 != X0
| multiply(sk_c9,sk_c8) = X1 ),
inference(instantiation,[status(thm)],[c_435]) ).
cnf(c_1232,plain,
( multiply(sk_c9,sk_c8) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| X2 = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_1126]) ).
cnf(c_1239,plain,
( X0 != multiply(X1,X2)
| sk_c7 != multiply(X1,X2)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1102]) ).
cnf(c_1240,plain,
( X0 != multiply(X1,X2)
| sk_c7 != multiply(X1,X2)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_967]) ).
cnf(c_1270,plain,
( inverse(sk_c1) != sk_c8
| ~ sP0_iProver_split
| multiply(sk_c9,sk_c6) = sk_c8 ),
inference(superposition,[status(thm)],[c_58,c_430]) ).
cnf(c_1271,plain,
( inverse(sk_c1) != sk_c8
| ~ sP0_iProver_split
| multiply(sk_c4,sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_56,c_430]) ).
cnf(c_1273,plain,
( inverse(sk_c1) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_60,c_430]) ).
cnf(c_1275,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c9
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_86,c_430]) ).
cnf(c_1276,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c9 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_430]) ).
cnf(c_1278,plain,
( sk_c8 != sk_c9
| sk_c8 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1275,c_1183]) ).
cnf(c_1288,plain,
( sk_c9 != identity
| ~ sP0_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_1276,c_1206]) ).
cnf(c_1315,plain,
( sk_c8 != sk_c9
| sk_c9 != sk_c8
| multiply(sk_c8,sk_c9) = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_1129]) ).
cnf(c_1329,plain,
( multiply(identity,sk_c7) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| X2 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_1144]) ).
cnf(c_1345,plain,
( inverse(sk_c4) != sk_c9
| ~ sP2_iProver_split
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_68,c_432]) ).
cnf(c_1347,plain,
( inverse(sk_c4) != sk_c9
| ~ sP2_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_80,c_432]) ).
cnf(c_1348,plain,
( inverse(sk_c4) != sk_c9
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_62,c_432]) ).
cnf(c_1354,plain,
( inverse(sk_c2) != sk_c9
| sk_c8 != sk_c3
| ~ sP2_iProver_split
| multiply(sk_c9,sk_c6) = sk_c8 ),
inference(superposition,[status(thm)],[c_76,c_432]) ).
cnf(c_1355,plain,
( inverse(sk_c2) != sk_c9
| sk_c8 != sk_c3
| ~ sP2_iProver_split
| multiply(sk_c4,sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_74,c_432]) ).
cnf(c_1359,plain,
( inverse(identity) != sk_c9
| sk_c8 != sk_c9
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_86,c_432]) ).
cnf(c_1362,plain,
( sk_c8 != sk_c9
| sk_c9 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1359,c_1183]) ).
cnf(c_1441,plain,
( multiply(sk_c4,sk_c9) != sk_c8
| X0 != sk_c9
| multiply(X0,multiply(sk_c4,sk_c9)) = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_1129]) ).
cnf(c_1442,plain,
( multiply(sk_c4,sk_c9) != sk_c8
| sk_c9 != sk_c9
| multiply(sk_c9,multiply(sk_c4,sk_c9)) = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_1441]) ).
cnf(c_1449,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_434]) ).
cnf(c_1450,plain,
( X0 != X1
| sk_c8 != X1
| X0 = sk_c8 ),
inference(instantiation,[status(thm)],[c_435]) ).
cnf(c_1451,plain,
( sk_c8 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1450]) ).
cnf(c_1463,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_434]) ).
cnf(c_1486,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| multiply(identity,sk_c7) != sk_c7
| multiply(identity,sk_c7) = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_1228]) ).
cnf(c_1516,plain,
( multiply(sk_c9,sk_c6) != sk_c8
| inverse(sk_c5) != sk_c9
| ~ sP1_iProver_split
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_71,c_431]) ).
cnf(c_1518,plain,
( multiply(sk_c9,sk_c6) != sk_c8
| inverse(sk_c5) != sk_c9
| ~ sP1_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_83,c_431]) ).
cnf(c_1519,plain,
( multiply(sk_c9,sk_c6) != sk_c8
| inverse(sk_c5) != sk_c9
| ~ sP1_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_65,c_431]) ).
cnf(c_1521,plain,
( multiply(sk_c9,sk_c3) != sk_c8
| inverse(sk_c2) != sk_c9
| ~ sP1_iProver_split
| multiply(sk_c9,sk_c6) = sk_c8 ),
inference(superposition,[status(thm)],[c_76,c_431]) ).
cnf(c_1522,plain,
( multiply(sk_c9,sk_c3) != sk_c8
| inverse(sk_c2) != sk_c9
| ~ sP1_iProver_split
| multiply(sk_c4,sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_74,c_431]) ).
cnf(c_1524,plain,
( multiply(sk_c9,sk_c3) != sk_c8
| inverse(sk_c2) != sk_c9
| ~ sP1_iProver_split
| inverse(sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_78,c_431]) ).
cnf(c_1615,plain,
( multiply(sk_c9,sk_c3) != sk_c8
| X0 != sk_c9
| multiply(X0,multiply(sk_c9,sk_c3)) = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_1129]) ).
cnf(c_1616,plain,
( multiply(sk_c9,sk_c3) != sk_c8
| sk_c9 != sk_c9
| multiply(sk_c9,multiply(sk_c9,sk_c3)) = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_1615]) ).
cnf(c_1649,plain,
( X0 != identity
| X1 != multiply(sk_c9,sk_c8)
| multiply(X0,X1) = multiply(identity,multiply(sk_c9,sk_c8)) ),
inference(instantiation,[status(thm)],[c_436]) ).
cnf(c_1826,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_1919,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| multiply(sk_c9,sk_c6) = sk_c8
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_52,c_433]) ).
cnf(c_1921,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| inverse(sk_c5) = sk_c9
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_54,c_433]) ).
cnf(c_1981,plain,
( X0 != multiply(sk_c8,sk_c9)
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1240]) ).
cnf(c_2001,plain,
( X0 != sk_c8
| sk_c8 != sk_c8
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_1159]) ).
cnf(c_2084,plain,
( multiply(sk_c9,sk_c8) != multiply(sk_c9,sk_c8)
| X0 != multiply(sk_c9,sk_c8)
| multiply(sk_c9,sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_1231]) ).
cnf(c_2093,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_66,c_1201]) ).
cnf(c_2094,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_63,c_1201]) ).
cnf(c_2139,plain,
( X0 != multiply(sk_c8,sk_c9)
| sk_c7 != multiply(sk_c8,sk_c9)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1239]) ).
cnf(c_2210,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c8 != sk_c9
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_1204,c_431]) ).
cnf(c_2231,plain,
( sk_c8 != sk_c9
| ~ sP1_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2210,c_1206]) ).
cnf(c_2288,plain,
( inverse(sk_c5) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2093,c_60]) ).
cnf(c_2319,plain,
( inverse(sk_c9) = sk_c5
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2288,c_1206]) ).
cnf(c_2349,plain,
( inverse(sk_c4) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2094,c_57]) ).
cnf(c_2363,plain,
( multiply(sk_c4,sk_c9) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2349,c_1201]) ).
cnf(c_2364,plain,
( inverse(sk_c9) = sk_c4
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2349,c_1206]) ).
cnf(c_2380,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_435]) ).
cnf(c_2504,plain,
( multiply(sk_c9,sk_c3) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c9,sk_c3) ),
inference(instantiation,[status(thm)],[c_2001]) ).
cnf(c_2553,plain,
( multiply(X0,X1) != multiply(sk_c8,sk_c9)
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c7 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1981]) ).
cnf(c_2554,plain,
( X0 != sk_c8
| X1 != sk_c9
| multiply(X0,X1) = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_436]) ).
cnf(c_2555,plain,
( multiply(sk_c9,sk_c9) != multiply(sk_c8,sk_c9)
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c7 = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_2553]) ).
cnf(c_2556,plain,
( sk_c9 != sk_c8
| sk_c9 != sk_c9
| multiply(sk_c9,sk_c9) = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_2554]) ).
cnf(c_2687,plain,
( multiply(identity,multiply(sk_c9,sk_c8)) != multiply(sk_c9,sk_c8)
| multiply(sk_c9,sk_c8) != multiply(sk_c9,sk_c8)
| multiply(sk_c9,sk_c8) = multiply(identity,multiply(sk_c9,sk_c8)) ),
inference(instantiation,[status(thm)],[c_2084]) ).
cnf(c_2694,plain,
( multiply(X0,multiply(sk_c9,sk_c3)) != multiply(sk_c9,sk_c8)
| multiply(sk_c9,sk_c8) != multiply(sk_c9,sk_c8)
| multiply(sk_c9,sk_c8) = multiply(X0,multiply(sk_c9,sk_c3)) ),
inference(instantiation,[status(thm)],[c_2084]) ).
cnf(c_2695,plain,
( multiply(sk_c9,multiply(sk_c9,sk_c3)) != multiply(sk_c9,sk_c8)
| multiply(sk_c9,sk_c8) != multiply(sk_c9,sk_c8)
| multiply(sk_c9,sk_c8) = multiply(sk_c9,multiply(sk_c9,sk_c3)) ),
inference(instantiation,[status(thm)],[c_2694]) ).
cnf(c_2733,plain,
( sk_c9 = identity
| sk_c4 = sk_c5 ),
inference(superposition,[status(thm)],[c_2364,c_2319]) ).
cnf(c_2880,plain,
( inverse(inverse(sk_c4)) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_985,c_430]) ).
cnf(c_2926,plain,
( inverse(inverse(sk_c4)) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_986,c_430]) ).
cnf(c_3095,plain,
( multiply(sk_c9,sk_c6) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c9,sk_c6) ),
inference(instantiation,[status(thm)],[c_2001]) ).
cnf(c_3147,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1826,c_86]) ).
cnf(c_3172,plain,
( multiply(inverse(sk_c1),sk_c9) = sk_c8
| inverse(sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_60,c_3147]) ).
cnf(c_3184,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_3147]) ).
cnf(c_3185,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_3147]) ).
cnf(c_3191,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3147,c_3147]) ).
cnf(c_3550,plain,
( multiply(X0,multiply(sk_c4,sk_c9)) != multiply(sk_c9,sk_c8)
| multiply(sk_c9,sk_c8) != multiply(sk_c9,sk_c8)
| multiply(sk_c9,sk_c8) = multiply(X0,multiply(sk_c4,sk_c9)) ),
inference(instantiation,[status(thm)],[c_2084]) ).
cnf(c_3553,plain,
( multiply(sk_c9,multiply(sk_c4,sk_c9)) != multiply(sk_c9,sk_c8)
| multiply(sk_c9,sk_c8) != multiply(sk_c9,sk_c8)
| multiply(sk_c9,sk_c8) = multiply(sk_c9,multiply(sk_c4,sk_c9)) ),
inference(instantiation,[status(thm)],[c_3550]) ).
cnf(c_3589,plain,
( multiply(identity,sk_c7) != multiply(sk_c9,sk_c8)
| X0 != multiply(sk_c9,sk_c8)
| X0 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_1329]) ).
cnf(c_3689,plain,
( multiply(sk_c9,sk_c6) = sk_c9
| inverse(sk_c2) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2288,c_991]) ).
cnf(c_3820,plain,
( multiply(sk_c9,sk_c6) = sk_c9
| inverse(sk_c1) = sk_c8
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2288,c_992]) ).
cnf(c_3870,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_2380]) ).
cnf(c_3871,plain,
( sk_c9 != identity
| identity != identity
| identity = sk_c9 ),
inference(instantiation,[status(thm)],[c_3870]) ).
cnf(c_3887,plain,
( multiply(sk_c8,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_66,c_997]) ).
cnf(c_3942,plain,
( inverse(sk_c5) = sk_c9
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_3887,c_54]) ).
cnf(c_3990,plain,
( inverse(sk_c9) = sk_c5
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_3942,c_1206]) ).
cnf(c_4029,plain,
( multiply(sk_c8,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_63,c_998]) ).
cnf(c_4084,plain,
( inverse(sk_c4) = sk_c9
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4029,c_51]) ).
cnf(c_4088,plain,
( inverse(sk_c8) != sk_c9
| ~ sP2_iProver_split
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_4029,c_432]) ).
cnf(c_4131,plain,
( multiply(sk_c4,sk_c9) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4084,c_1201]) ).
cnf(c_4132,plain,
( inverse(sk_c9) = sk_c4
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4084,c_1206]) ).
cnf(c_4133,plain,
( multiply(sk_c9,multiply(sk_c4,X0)) = X0
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4084,c_972]) ).
cnf(c_4151,plain,
( multiply(sk_c9,multiply(sk_c4,sk_c9)) = sk_c9
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_4133]) ).
cnf(c_4156,plain,
( X0 != multiply(sk_c9,sk_c6)
| sk_c8 != multiply(sk_c9,sk_c6)
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_1159]) ).
cnf(c_4159,plain,
( sk_c8 != multiply(sk_c9,sk_c6)
| sk_c9 != multiply(sk_c9,sk_c6)
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_4156]) ).
cnf(c_4305,plain,
( multiply(sk_c9,sk_c8) != multiply(identity,multiply(sk_c9,sk_c8))
| X0 != multiply(identity,multiply(sk_c9,sk_c8))
| multiply(sk_c9,sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_1231]) ).
cnf(c_4310,plain,
( multiply(sk_c9,sk_c8) != multiply(identity,multiply(sk_c9,sk_c8))
| X0 != multiply(identity,multiply(sk_c9,sk_c8))
| X0 = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_1232]) ).
cnf(c_4342,plain,
( multiply(sk_c9,sk_c3) = sk_c9
| inverse(sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_84,c_1007]) ).
cnf(c_4426,plain,
( sk_c8 = sk_c7
| sk_c4 = sk_c5 ),
inference(superposition,[status(thm)],[c_4132,c_3990]) ).
cnf(c_4497,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_3185,c_3191]) ).
cnf(c_4505,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_4497,c_3184]) ).
cnf(c_4568,plain,
( inverse(sk_c5) = sk_c9
| sk_c8 = sk_c9 ),
inference(superposition,[status(thm)],[c_4342,c_72]) ).
cnf(c_4614,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_3191,c_87]) ).
cnf(c_4617,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_3191,c_3147]) ).
cnf(c_4618,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_3191,c_4497]) ).
cnf(c_4619,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4618,c_4497]) ).
cnf(c_4654,plain,
( multiply(sk_c5,sk_c9) = identity
| sk_c8 = sk_c9 ),
inference(superposition,[status(thm)],[c_4568,c_1201]) ).
cnf(c_4655,plain,
( inverse(sk_c9) = sk_c5
| sk_c8 = sk_c9 ),
inference(superposition,[status(thm)],[c_4568,c_1206]) ).
cnf(c_4702,plain,
( multiply(sk_c9,sk_c3) = sk_c9
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_81,c_1008]) ).
cnf(c_4726,plain,
( inverse(sk_c4) = sk_c9
| sk_c8 = sk_c9 ),
inference(superposition,[status(thm)],[c_4702,c_69]) ).
cnf(c_4751,plain,
( multiply(sk_c9,sk_c8) != multiply(X0,multiply(sk_c4,sk_c9))
| X1 != multiply(X0,multiply(sk_c4,sk_c9))
| X1 = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_1232]) ).
cnf(c_4752,plain,
( multiply(sk_c9,sk_c8) != multiply(sk_c9,multiply(sk_c4,sk_c9))
| sk_c9 != multiply(sk_c9,multiply(sk_c4,sk_c9))
| sk_c9 = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_4751]) ).
cnf(c_4758,plain,
( multiply(sk_c9,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9
| sk_c8 = sk_c9 ),
inference(superposition,[status(thm)],[c_4726,c_985]) ).
cnf(c_4760,plain,
( multiply(sk_c4,sk_c9) = identity
| sk_c8 = sk_c9 ),
inference(superposition,[status(thm)],[c_4726,c_1201]) ).
cnf(c_4761,plain,
( inverse(sk_c9) = sk_c4
| sk_c8 = sk_c9 ),
inference(superposition,[status(thm)],[c_4726,c_1206]) ).
cnf(c_4904,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c9 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_430]) ).
cnf(c_4916,plain,
( sk_c9 != identity
| ~ sP0_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_4904,c_4619]) ).
cnf(c_5178,plain,
( sk_c8 = sk_c9
| sk_c4 = sk_c5 ),
inference(superposition,[status(thm)],[c_4761,c_4655]) ).
cnf(c_5374,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c9
| sk_c8 = sk_c9 ),
inference(superposition,[status(thm)],[c_4726,c_984]) ).
cnf(c_5519,plain,
( multiply(sk_c9,sk_c6) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8
| sk_c8 = sk_c9 ),
inference(superposition,[status(thm)],[c_4568,c_989]) ).
cnf(c_5673,plain,
( X0 != multiply(sk_c9,sk_c3)
| sk_c8 != multiply(sk_c9,sk_c3)
| X0 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1450]) ).
cnf(c_5674,plain,
( X0 != multiply(sk_c9,sk_c3)
| sk_c8 != multiply(sk_c9,sk_c3)
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_1159]) ).
cnf(c_5677,plain,
( sk_c8 != multiply(sk_c9,sk_c3)
| sk_c9 != multiply(sk_c9,sk_c3)
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_5674]) ).
cnf(c_5678,plain,
( sk_c8 != multiply(sk_c9,sk_c3)
| sk_c9 != multiply(sk_c9,sk_c3)
| sk_c9 = sk_c8 ),
inference(instantiation,[status(thm)],[c_5673]) ).
cnf(c_5842,plain,
( multiply(sk_c9,sk_c8) != multiply(X0,multiply(sk_c9,sk_c3))
| X1 != multiply(X0,multiply(sk_c9,sk_c3))
| multiply(sk_c9,sk_c8) = X1 ),
inference(instantiation,[status(thm)],[c_1231]) ).
cnf(c_6465,plain,
( inverse(sk_c2) = sk_c9
| sk_c8 = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2363,c_80]) ).
cnf(c_6466,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2363,c_62]) ).
cnf(c_6741,plain,
( ~ sP2_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1347,c_81,c_1347]) ).
cnf(c_6937,plain,
( multiply(sk_c8,sk_c9) != multiply(sk_c9,sk_c8)
| multiply(identity,sk_c7) != multiply(sk_c9,sk_c8)
| multiply(sk_c8,sk_c9) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_3589]) ).
cnf(c_8541,plain,
( multiply(sk_c2,sk_c9) = identity
| inverse(sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_84,c_4614]) ).
cnf(c_8542,plain,
( multiply(sk_c2,sk_c9) = identity
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_81,c_4614]) ).
cnf(c_8798,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c8 != sk_c9
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_4617,c_431]) ).
cnf(c_8819,plain,
( sk_c8 != sk_c9
| ~ sP1_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_8798,c_4619]) ).
cnf(c_9114,plain,
( inverse(sk_c5) = sk_c9
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_8541,c_78]) ).
cnf(c_9257,plain,
( inverse(sk_c9) = sk_c5
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_9114,c_4619]) ).
cnf(c_9310,plain,
( multiply(sk_c9,sk_c3) = sk_c8
| sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_4131,c_68]) ).
cnf(c_9311,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_4131,c_50]) ).
cnf(c_9559,plain,
( inverse(sk_c4) = sk_c9
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_8542,c_75]) ).
cnf(c_9912,plain,
( inverse(sk_c9) = sk_c4
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_9559,c_4619]) ).
cnf(c_10099,plain,
( multiply(sk_c9,sk_c3) = sk_c8
| sk_c8 = sk_c9
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_4654,c_71]) ).
cnf(c_10243,plain,
( multiply(sk_c9,sk_c3) = sk_c8
| sk_c8 = sk_c9
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_4760,c_68]) ).
cnf(c_10244,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c8 = sk_c9
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_4760,c_50]) ).
cnf(c_10245,plain,
( inverse(sk_c2) = sk_c9
| sk_c8 = sk_c9
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_4760,c_80]) ).
cnf(c_10246,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c9
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_4760,c_62]) ).
cnf(c_10361,plain,
( ~ sP2_iProver_split
| inverse(sk_c4) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_4088,c_1362,c_2349,c_4726]) ).
cnf(c_10534,plain,
( sk_c8 = identity
| inverse(sk_c2) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_6465,c_84,c_82,c_79,c_440,c_433,c_969,c_1098,c_1105,c_1288,c_1315,c_1451,c_1518,c_6465,c_6741,c_10245]) ).
cnf(c_10535,plain,
( inverse(sk_c2) = sk_c9
| sk_c8 = identity ),
inference(renaming,[status(thm)],[c_10534]) ).
cnf(c_10592,plain,
( sk_c8 = identity
| inverse(sk_c1) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_6466,c_66,c_63,c_64,c_61,c_440,c_433,c_969,c_1098,c_1105,c_1288,c_1315,c_1348,c_1451,c_1519,c_6466,c_10246]) ).
cnf(c_10593,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = identity ),
inference(renaming,[status(thm)],[c_10592]) ).
cnf(c_10927,plain,
( multiply(sk_c9,sk_c6) != X0
| X1 != X0
| X1 = multiply(sk_c9,sk_c6) ),
inference(instantiation,[status(thm)],[c_435]) ).
cnf(c_10928,plain,
( multiply(sk_c9,sk_c6) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c9,sk_c6) ),
inference(instantiation,[status(thm)],[c_10927]) ).
cnf(c_11284,plain,
( multiply(sk_c9,sk_c3) != X0
| X1 != X0
| X1 = multiply(sk_c9,sk_c3) ),
inference(instantiation,[status(thm)],[c_435]) ).
cnf(c_11285,plain,
( multiply(sk_c9,sk_c3) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c9,sk_c3) ),
inference(instantiation,[status(thm)],[c_11284]) ).
cnf(c_12478,plain,
( multiply(sk_c9,sk_c8) != multiply(sk_c8,sk_c9)
| sk_c7 != multiply(sk_c8,sk_c9)
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_2139]) ).
cnf(c_12630,plain,
( sk_c8 != X0
| identity != X0
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_1159]) ).
cnf(c_12634,plain,
( X0 != multiply(sk_c9,sk_c8)
| sk_c8 != identity
| multiply(sk_c8,X0) = multiply(identity,multiply(sk_c9,sk_c8)) ),
inference(instantiation,[status(thm)],[c_1649]) ).
cnf(c_12637,plain,
( X0 != sk_c7
| sk_c8 != identity
| multiply(sk_c8,X0) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_1147]) ).
cnf(c_12638,plain,
( sk_c8 != sk_c9
| identity != sk_c9
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_12630]) ).
cnf(c_12639,plain,
( sk_c8 != identity
| sk_c9 != sk_c7
| multiply(sk_c8,sk_c9) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_12637]) ).
cnf(c_12640,plain,
( sk_c8 != identity
| sk_c9 != multiply(sk_c9,sk_c8)
| multiply(sk_c8,sk_c9) = multiply(identity,multiply(sk_c9,sk_c8)) ),
inference(instantiation,[status(thm)],[c_12634]) ).
cnf(c_13230,plain,
( multiply(sk_c8,sk_c9) != multiply(identity,multiply(sk_c9,sk_c8))
| multiply(sk_c9,sk_c8) != multiply(identity,multiply(sk_c9,sk_c8))
| multiply(sk_c9,sk_c8) = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_4305]) ).
cnf(c_13728,plain,
( multiply(sk_c8,sk_c9) != multiply(identity,multiply(sk_c9,sk_c8))
| multiply(sk_c9,sk_c8) != multiply(identity,multiply(sk_c9,sk_c8))
| multiply(sk_c8,sk_c9) = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_4310]) ).
cnf(c_14404,plain,
( multiply(X0,multiply(sk_c4,sk_c9)) != X1
| X2 != X1
| X2 = multiply(X0,multiply(sk_c4,sk_c9)) ),
inference(instantiation,[status(thm)],[c_435]) ).
cnf(c_14405,plain,
( multiply(sk_c9,multiply(sk_c4,sk_c9)) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c9,multiply(sk_c4,sk_c9)) ),
inference(instantiation,[status(thm)],[c_14404]) ).
cnf(c_15163,plain,
( multiply(X0,X1) != multiply(X2,multiply(sk_c9,sk_c3))
| multiply(sk_c9,sk_c8) != multiply(X2,multiply(sk_c9,sk_c3))
| multiply(sk_c9,sk_c8) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_5842]) ).
cnf(c_15164,plain,
( X0 != X1
| X2 != multiply(sk_c9,sk_c3)
| multiply(X0,X2) = multiply(X1,multiply(sk_c9,sk_c3)) ),
inference(instantiation,[status(thm)],[c_436]) ).
cnf(c_15165,plain,
( multiply(sk_c9,sk_c8) != multiply(sk_c9,multiply(sk_c9,sk_c3))
| multiply(sk_c9,sk_c9) != multiply(sk_c9,multiply(sk_c9,sk_c3))
| multiply(sk_c9,sk_c8) = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_15163]) ).
cnf(c_15166,plain,
( sk_c9 != multiply(sk_c9,sk_c3)
| sk_c9 != sk_c9
| multiply(sk_c9,sk_c9) = multiply(sk_c9,multiply(sk_c9,sk_c3)) ),
inference(instantiation,[status(thm)],[c_15164]) ).
cnf(c_16963,plain,
( ~ sP0_iProver_split
| multiply(sk_c9,sk_c6) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_1270,c_64,c_1270]) ).
cnf(c_17104,plain,
( ~ sP0_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_2880,c_440,c_1288,c_1278,c_1449,c_3095,c_3689,c_4159,c_10535,c_10928,c_16963]) ).
cnf(c_17106,plain,
inverse(sk_c2) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_17104,c_84,c_82,c_79,c_440,c_433,c_969,c_1098,c_1105,c_1123,c_1124,c_1127,c_1165,c_1315,c_1451,c_1518,c_4758,c_6741,c_10535,c_12640,c_17104]) ).
cnf(c_17119,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c9 ),
inference(demodulation,[status(thm)],[c_1006,c_17106]) ).
cnf(c_17120,plain,
( multiply(sk_c9,sk_c3) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
inference(demodulation,[status(thm)],[c_1005,c_17106]) ).
cnf(c_17739,plain,
( ~ sP0_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_2926,c_64,c_440,c_1288,c_1278,c_1270,c_1449,c_3095,c_3820,c_4159,c_10593,c_10928]) ).
cnf(c_17741,plain,
inverse(sk_c1) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_17739,c_66,c_63,c_64,c_61,c_440,c_433,c_969,c_1098,c_1105,c_1123,c_1124,c_1127,c_1165,c_1315,c_1348,c_1451,c_1519,c_5374,c_10593,c_12640,c_17739]) ).
cnf(c_17773,plain,
multiply(sk_c1,multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_17741,c_1204]) ).
cnf(c_17774,plain,
multiply(sk_c1,sk_c8) = identity,
inference(superposition,[status(thm)],[c_17741,c_1201]) ).
cnf(c_17778,plain,
( multiply(sk_c5,sk_c9) = sk_c6
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_59,c_17774]) ).
cnf(c_17780,plain,
( multiply(sk_c4,sk_c9) = sk_c8
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_56,c_17774]) ).
cnf(c_17781,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_55,c_17774]) ).
cnf(c_17816,plain,
( multiply(sk_c4,sk_c9) = sk_c6
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2733,c_17778]) ).
cnf(c_17823,plain,
( multiply(sk_c9,sk_c6) != sk_c8
| inverse(sk_c5) != sk_c9
| ~ sP1_iProver_split
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_17778,c_431]) ).
cnf(c_17892,plain,
( sk_c8 = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_17780,c_2363]) ).
cnf(c_18808,plain,
( multiply(sk_c9,sk_c3) = sk_c8
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_9310,c_1463,c_3871,c_10243,c_12638,c_17892]) ).
cnf(c_18854,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_9311,c_49,c_440,c_969,c_1099,c_1100,c_1114,c_1124,c_1127,c_1136,c_1315,c_1451,c_1463,c_1486,c_2687,c_3871,c_5374,c_6937,c_10244,c_12638,c_12640,c_13728,c_17892]) ).
cnf(c_18856,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_18854,c_49,c_440,c_969,c_1098,c_1099,c_1100,c_1113,c_1114,c_1127,c_1315,c_1451,c_1486,c_5374,c_6937,c_12639,c_18854]) ).
cnf(c_18865,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| sk_c7 != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_433,c_18856]) ).
cnf(c_18866,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_18865]) ).
cnf(c_18887,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_10099,c_72,c_69,c_70,c_67,c_440,c_1278,c_1345,c_1449,c_1516,c_3095,c_4159,c_5519,c_10928,c_18808,c_18866]) ).
cnf(c_18914,plain,
( multiply(sk_c9,X0) = X0
| multiply(sk_c9,sk_c6) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_827,c_17773]) ).
cnf(c_18952,plain,
( multiply(sk_c9,sk_c6) = sk_c8
| sk_c8 = sk_c3 ),
inference(superposition,[status(thm)],[c_18914,c_18887]) ).
cnf(c_19348,plain,
( multiply(sk_c9,X0) = X0
| multiply(sk_c4,sk_c9) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_828,c_17773]) ).
cnf(c_19392,plain,
( multiply(sk_c4,sk_c9) = sk_c8
| sk_c8 = sk_c3 ),
inference(superposition,[status(thm)],[c_19348,c_18887]) ).
cnf(c_19971,plain,
( sk_c4 = sk_c5
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_9912,c_9257]) ).
cnf(c_19995,plain,
( multiply(sk_c9,X0) = X0
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_829,c_17773]) ).
cnf(c_20069,plain,
( sk_c8 != sk_c7
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(equality_factoring,[status(thm)],[c_19995]) ).
cnf(c_20232,plain,
( multiply(sk_c9,sk_c8) != multiply(X0,X1)
| sk_c7 != multiply(X0,X1)
| sk_c7 = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_1232]) ).
cnf(c_20233,plain,
( multiply(sk_c9,sk_c8) != multiply(sk_c9,sk_c9)
| sk_c7 != multiply(sk_c9,sk_c9)
| sk_c7 = multiply(sk_c9,sk_c8) ),
inference(instantiation,[status(thm)],[c_20232]) ).
cnf(c_20363,plain,
sk_c4 = sk_c5,
inference(global_subsumption_just,[status(thm)],[c_19971,c_1288,c_1362,c_2231,c_2733,c_4426,c_5178,c_18866,c_20069]) ).
cnf(c_20381,plain,
( multiply(sk_c4,sk_c9) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(demodulation,[status(thm)],[c_77,c_20363]) ).
cnf(c_20387,plain,
( multiply(sk_c4,sk_c9) = sk_c6
| inverse(sk_c2) = sk_c9 ),
inference(demodulation,[status(thm)],[c_83,c_20363]) ).
cnf(c_20409,plain,
inverse(sk_c2) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_20387,c_84,c_82,c_79,c_440,c_433,c_969,c_1098,c_1105,c_1123,c_1124,c_1127,c_1165,c_1315,c_1451,c_1518,c_4758,c_6741,c_10535,c_12640,c_17104]) ).
cnf(c_20419,plain,
multiply(sk_c2,sk_c9) = identity,
inference(superposition,[status(thm)],[c_20409,c_4614]) ).
cnf(c_20423,plain,
( multiply(sk_c9,sk_c6) = sk_c8
| sk_c3 = identity ),
inference(demodulation,[status(thm)],[c_76,c_20419]) ).
cnf(c_20424,plain,
( multiply(sk_c4,sk_c9) = sk_c8
| sk_c3 = identity ),
inference(demodulation,[status(thm)],[c_74,c_20419]) ).
cnf(c_20425,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c3 = identity ),
inference(demodulation,[status(thm)],[c_73,c_20419]) ).
cnf(c_20445,plain,
multiply(sk_c9,sk_c6) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_20423,c_84,c_66,c_63,c_82,c_79,c_72,c_69,c_64,c_61,c_70,c_67,c_49,c_440,c_433,c_969,c_1098,c_1099,c_1100,c_1105,c_1114,c_1119,c_1123,c_1124,c_1127,c_1135,c_1136,c_1165,c_1278,c_1271,c_1270,c_1315,c_1348,c_1345,c_1355,c_1354,c_1442,c_1449,c_1451,c_1463,c_1486,c_1519,c_1518,c_1522,c_1521,c_1516,c_1616,c_1919,c_2504,c_2555,c_2556,c_2687,c_2695,c_3095,c_3553,c_3871,c_4151,c_4159,c_4752,c_4758,c_5374,c_5519,c_5677,c_5678,c_6741,c_6937,c_10244,c_10535,c_10593,c_10928,c_11285,c_12478,c_12638,c_12640,c_13230,c_13728,c_14405,c_15165,c_15166,c_17104,c_17120,c_17119,c_17739,c_17781,c_17892,c_18808,c_18866,c_18952,c_19392,c_20069,c_20233]) ).
cnf(c_20450,plain,
multiply(sk_c9,multiply(sk_c6,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_20445,c_88]) ).
cnf(c_20456,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_20424,c_84,c_66,c_63,c_82,c_79,c_72,c_69,c_64,c_61,c_70,c_67,c_49,c_440,c_433,c_969,c_1098,c_1099,c_1100,c_1105,c_1114,c_1119,c_1123,c_1124,c_1127,c_1135,c_1136,c_1165,c_1278,c_1271,c_1315,c_1348,c_1345,c_1355,c_1449,c_1451,c_1463,c_1486,c_1519,c_1518,c_1522,c_1516,c_1616,c_2504,c_2555,c_2556,c_2687,c_2695,c_3095,c_3871,c_4159,c_4758,c_5374,c_5519,c_5678,c_6741,c_6937,c_10244,c_10535,c_10593,c_10928,c_11285,c_12638,c_12640,c_13728,c_15165,c_15166,c_17104,c_17120,c_17739,c_17892,c_18808,c_18866,c_19392,c_20233]) ).
cnf(c_20463,plain,
( inverse(sk_c4) != sk_c9
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_20456,c_432]) ).
cnf(c_20470,plain,
~ sP2_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_20463,c_10361,c_20463]) ).
cnf(c_20477,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_20425,c_84,c_66,c_63,c_82,c_79,c_72,c_69,c_64,c_61,c_70,c_67,c_49,c_440,c_433,c_969,c_1098,c_1099,c_1100,c_1105,c_1114,c_1119,c_1123,c_1124,c_1127,c_1135,c_1136,c_1165,c_1278,c_1271,c_1315,c_1348,c_1345,c_1355,c_1442,c_1449,c_1451,c_1463,c_1486,c_1519,c_1518,c_1522,c_1516,c_1616,c_2504,c_2555,c_2556,c_2687,c_2695,c_3095,c_3553,c_3871,c_4151,c_4159,c_4752,c_4758,c_5374,c_5519,c_5677,c_5678,c_6741,c_6937,c_10244,c_10535,c_10593,c_10928,c_11285,c_12478,c_12638,c_12640,c_13230,c_13728,c_14405,c_15165,c_15166,c_17104,c_17120,c_17119,c_17739,c_17781,c_17892,c_18808,c_18866,c_19392,c_20069,c_20233]) ).
cnf(c_20483,plain,
multiply(sk_c9,multiply(sk_c8,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_20477,c_88]) ).
cnf(c_20504,plain,
inverse(sk_c5) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_3172,c_1273,c_1524,c_1921,c_17106,c_17741,c_18887,c_20470,c_20477]) ).
cnf(c_20506,plain,
inverse(sk_c4) = sk_c9,
inference(light_normalisation,[status(thm)],[c_20504,c_20363]) ).
cnf(c_20510,plain,
multiply(sk_c4,sk_c9) = identity,
inference(superposition,[status(thm)],[c_20506,c_4614]) ).
cnf(c_20513,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm)],[c_20506,c_87]) ).
cnf(c_20514,plain,
sk_c8 = identity,
inference(demodulation,[status(thm)],[c_20456,c_20510]) ).
cnf(c_20516,plain,
multiply(sk_c9,identity) = sk_c7,
inference(demodulation,[status(thm)],[c_20477,c_20514]) ).
cnf(c_20518,plain,
( sk_c9 != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_8819,c_20514]) ).
cnf(c_20548,plain,
multiply(sk_c9,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_20450,c_86,c_20514]) ).
cnf(c_20550,plain,
multiply(sk_c9,identity) = inverse(sk_c6),
inference(superposition,[status(thm)],[c_4614,c_20548]) ).
cnf(c_20554,plain,
inverse(sk_c6) = sk_c7,
inference(light_normalisation,[status(thm)],[c_20550,c_20516]) ).
cnf(c_20574,plain,
multiply(sk_c4,sk_c9) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_20381,c_84,c_66,c_63,c_82,c_79,c_72,c_69,c_64,c_61,c_70,c_67,c_49,c_440,c_433,c_969,c_1098,c_1099,c_1100,c_1105,c_1114,c_1119,c_1123,c_1124,c_1127,c_1135,c_1136,c_1165,c_1288,c_1278,c_1273,c_1271,c_1270,c_1315,c_1348,c_1345,c_1355,c_1354,c_1442,c_1449,c_1451,c_1463,c_1486,c_1524,c_1519,c_1518,c_1522,c_1521,c_1516,c_1616,c_1921,c_1919,c_2504,c_2555,c_2556,c_2687,c_2695,c_3095,c_3553,c_3871,c_4151,c_4159,c_4752,c_4758,c_5374,c_5519,c_5677,c_5678,c_6741,c_6937,c_10244,c_10361,c_10535,c_10593,c_10928,c_11285,c_12478,c_12638,c_12640,c_13230,c_13728,c_14405,c_15165,c_15166,c_17104,c_17120,c_17119,c_17739,c_17781,c_17816,c_17823,c_17892,c_18808,c_18866,c_18952,c_19392,c_20069,c_20233,c_20463,c_20518]) ).
cnf(c_20576,plain,
sk_c6 = identity,
inference(light_normalisation,[status(thm)],[c_20574,c_20510]) ).
cnf(c_20584,plain,
multiply(sk_c9,X0) = multiply(sk_c7,X0),
inference(light_normalisation,[status(thm)],[c_20483,c_86,c_20514]) ).
cnf(c_20603,plain,
sk_c7 = identity,
inference(light_normalisation,[status(thm)],[c_20554,c_4505,c_20576]) ).
cnf(c_20604,plain,
multiply(sk_c9,X0) = multiply(identity,X0),
inference(demodulation,[status(thm)],[c_20584,c_20603]) ).
cnf(c_20605,plain,
multiply(sk_c9,X0) = X0,
inference(light_normalisation,[status(thm)],[c_20604,c_86]) ).
cnf(c_20606,plain,
sk_c4 = identity,
inference(demodulation,[status(thm)],[c_20513,c_20605]) ).
cnf(c_20609,plain,
inverse(identity) = sk_c9,
inference(demodulation,[status(thm)],[c_20506,c_20606]) ).
cnf(c_20611,plain,
sk_c9 = identity,
inference(light_normalisation,[status(thm)],[c_20609,c_4505]) ).
cnf(c_20612,plain,
~ sP0_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_4916,c_20611]) ).
cnf(c_20613,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_20612,c_20518,c_20504,c_20477,c_20470,c_20445,c_18856,c_17823,c_433]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP322-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 22:20:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.49/1.19 % SZS status Started for theBenchmark.p
% 0.49/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.19
% 0.49/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.49/1.19
% 0.49/1.19 ------ iProver source info
% 0.49/1.19
% 0.49/1.19 git: date: 2023-05-31 18:12:56 +0000
% 0.49/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.49/1.19 git: non_committed_changes: false
% 0.49/1.19 git: last_make_outside_of_git: false
% 0.49/1.19
% 0.49/1.19 ------ Parsing...successful
% 0.49/1.19
% 0.49/1.19
% 0.49/1.19
% 0.49/1.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.49/1.19
% 0.49/1.19 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.49/1.19
% 0.49/1.19 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.49/1.19 ------ Proving...
% 0.49/1.19 ------ Problem Properties
% 0.49/1.19
% 0.49/1.19
% 0.49/1.19 clauses 43
% 0.49/1.19 conjectures 40
% 0.49/1.19 EPR 0
% 0.49/1.19 Horn 6
% 0.49/1.19 unary 3
% 0.49/1.19 binary 36
% 0.49/1.19 lits 89
% 0.49/1.19 lits eq 83
% 0.49/1.19 fd_pure 0
% 0.49/1.19 fd_pseudo 0
% 0.49/1.19 fd_cond 0
% 0.49/1.19 fd_pseudo_cond 0
% 0.49/1.19 AC symbols 0
% 0.49/1.19
% 0.49/1.19 ------ Schedule dynamic 5 is on
% 0.49/1.19
% 0.49/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.49/1.19
% 0.49/1.19
% 0.49/1.19 ------
% 0.49/1.19 Current options:
% 0.49/1.19 ------
% 0.49/1.19
% 0.49/1.19
% 0.49/1.19
% 0.49/1.19
% 0.49/1.19 ------ Proving...
% 0.49/1.19
% 0.49/1.19
% 0.49/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.19
% 0.49/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.28/1.19
% 4.28/1.20
%------------------------------------------------------------------------------