TSTP Solution File: GRP278-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP278-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:59:05 EDT 2023
% Result : Unsatisfiable 9.63s 2.20s
% Output : CNFRefutation 9.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 27
% Syntax : Number of clauses : 467 ( 64 unt; 158 nHn; 427 RR)
% Number of literals : 1168 (1091 equ; 538 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 249 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c5
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c5
| multiply(sk_c3,sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c4
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( inverse(sk_c1) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( inverse(sk_c1) = sk_c6
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c5
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c4
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c5
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c3,sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c4) != sk_c5
| multiply(sk_c6,sk_c4) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c4
| inverse(X0) != sk_c6
| inverse(X1) != sk_c6
| inverse(X2) != sk_c5
| inverse(sk_c4) != sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_71,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_72,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_73,plain,
multiply(identity,sk_c5) = sk_c5,
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_74,plain,
multiply(inverse(sk_c5),sk_c5) = identity,
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_281,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_69]) ).
cnf(c_282,negated_conjecture,
( multiply(X0,sk_c4) != sk_c5
| inverse(X0) != sk_c5
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_69]) ).
cnf(c_283,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_69]) ).
cnf(c_284,negated_conjecture,
( multiply(sk_c6,sk_c4) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c4
| inverse(sk_c4) != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_69]) ).
cnf(c_285,plain,
X0 = X0,
theory(equality) ).
cnf(c_286,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_287,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_291,plain,
sk_c5 = sk_c5,
inference(instantiation,[status(thm)],[c_285]) ).
cnf(c_525,plain,
( inverse(sk_c2) != sk_c6
| ~ sP0_iProver_split
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_66,c_281]) ).
cnf(c_528,plain,
( inverse(sk_c2) != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_56,c_281]) ).
cnf(c_529,plain,
( inverse(identity) != sk_c6
| sk_c6 != sk_c5
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_70,c_281]) ).
cnf(c_555,plain,
( inverse(sk_c3) != sk_c5
| ~ sP1_iProver_split
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_68,c_282]) ).
cnf(c_558,plain,
( inverse(sk_c3) != sk_c5
| ~ sP1_iProver_split
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_58,c_282]) ).
cnf(c_598,plain,
( inverse(sk_c1) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c3) = sk_c5 ),
inference(superposition,[status(thm)],[c_52,c_283]) ).
cnf(c_599,plain,
( inverse(sk_c1) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_50,c_283]) ).
cnf(c_642,plain,
( multiply(sk_c3,multiply(sk_c4,X0)) = multiply(sk_c5,X0)
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_63,c_72]) ).
cnf(c_643,plain,
( multiply(sk_c3,multiply(sk_c4,X0)) = multiply(sk_c5,X0)
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_58,c_72]) ).
cnf(c_648,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_71,c_72]) ).
cnf(c_651,plain,
( multiply(X0,multiply(X1,sk_c6)) != sk_c5
| inverse(multiply(X0,X1)) != sk_c6
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_72,c_283]) ).
cnf(c_729,plain,
( multiply(sk_c6,sk_c4) != X0
| sk_c5 != X0
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_731,plain,
( X0 != X1
| sk_c4 != X1
| sk_c4 = X0 ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_733,plain,
multiply(sk_c6,sk_c4) = multiply(sk_c6,sk_c4),
inference(instantiation,[status(thm)],[c_285]) ).
cnf(c_734,plain,
( multiply(sk_c6,sk_c4) != X0
| X1 != X0
| multiply(sk_c6,sk_c4) = X1 ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_735,plain,
( multiply(sk_c6,sk_c4) != multiply(X0,X1)
| sk_c5 != multiply(X0,X1)
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(instantiation,[status(thm)],[c_729]) ).
cnf(c_736,plain,
( sk_c6 != X0
| sk_c4 != X1
| multiply(sk_c6,sk_c4) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_287]) ).
cnf(c_739,plain,
( X0 != sk_c4
| sk_c4 != sk_c4
| sk_c4 = X0 ),
inference(instantiation,[status(thm)],[c_731]) ).
cnf(c_740,plain,
sk_c4 = sk_c4,
inference(instantiation,[status(thm)],[c_285]) ).
cnf(c_761,plain,
( multiply(sk_c6,sk_c4) != X0
| sk_c5 != X0
| sk_c5 = multiply(sk_c6,sk_c4) ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_762,plain,
( multiply(sk_c6,sk_c4) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(sk_c6,sk_c4) ),
inference(instantiation,[status(thm)],[c_761]) ).
cnf(c_773,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_648,c_70]) ).
cnf(c_779,plain,
( multiply(inverse(sk_c1),sk_c5) = sk_c6
| inverse(sk_c3) = sk_c5 ),
inference(superposition,[status(thm)],[c_52,c_773]) ).
cnf(c_781,plain,
( multiply(inverse(sk_c5),sk_c4) = sk_c6
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_59,c_773]) ).
cnf(c_782,plain,
( multiply(inverse(sk_c5),sk_c4) = sk_c6
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_54,c_773]) ).
cnf(c_787,plain,
( multiply(inverse(sk_c3),sk_c5) = sk_c4
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_68,c_773]) ).
cnf(c_789,plain,
( multiply(inverse(sk_c3),sk_c5) = sk_c4
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_63,c_773]) ).
cnf(c_790,plain,
( multiply(inverse(sk_c3),sk_c5) = sk_c4
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_58,c_773]) ).
cnf(c_792,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c4
| inverse(sk_c3) = sk_c5 ),
inference(superposition,[status(thm)],[c_67,c_773]) ).
cnf(c_793,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c4
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_65,c_773]) ).
cnf(c_794,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_70,c_773]) ).
cnf(c_795,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_71,c_773]) ).
cnf(c_796,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_72,c_773]) ).
cnf(c_801,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_773,c_773]) ).
cnf(c_854,plain,
( multiply(sk_c6,sk_c4) != multiply(sk_c6,sk_c4)
| X0 != multiply(sk_c6,sk_c4)
| multiply(sk_c6,sk_c4) = X0 ),
inference(instantiation,[status(thm)],[c_734]) ).
cnf(c_855,plain,
( multiply(X0,X1) != X2
| sk_c5 != X2
| sk_c5 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_858,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_285]) ).
cnf(c_860,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_863,plain,
( multiply(sk_c5,sk_c6) != sk_c4
| sk_c4 != sk_c4
| sk_c4 = multiply(sk_c5,sk_c6) ),
inference(instantiation,[status(thm)],[c_739]) ).
cnf(c_864,plain,
( multiply(identity,sk_c4) != sk_c4
| sk_c4 != sk_c4
| sk_c4 = multiply(identity,sk_c4) ),
inference(instantiation,[status(thm)],[c_739]) ).
cnf(c_865,plain,
multiply(identity,sk_c4) = sk_c4,
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_867,plain,
( X0 != X1
| sk_c4 != X1
| X0 = sk_c4 ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_874,plain,
( X0 != multiply(sk_c5,sk_c6)
| sk_c4 != multiply(sk_c5,sk_c6)
| sk_c4 = X0 ),
inference(instantiation,[status(thm)],[c_731]) ).
cnf(c_875,plain,
( sk_c5 != multiply(sk_c5,sk_c6)
| sk_c4 != multiply(sk_c5,sk_c6)
| sk_c4 = sk_c5 ),
inference(instantiation,[status(thm)],[c_874]) ).
cnf(c_888,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_860]) ).
cnf(c_889,plain,
( sk_c6 != sk_c6
| sk_c5 != sk_c6
| sk_c6 = sk_c5 ),
inference(instantiation,[status(thm)],[c_888]) ).
cnf(c_892,plain,
( multiply(sk_c3,sk_c4) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(sk_c3,sk_c4) ),
inference(instantiation,[status(thm)],[c_855]) ).
cnf(c_893,plain,
( multiply(identity,X0) != X0
| sk_c5 != X0
| sk_c5 = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_855]) ).
cnf(c_894,plain,
( multiply(identity,sk_c5) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_893]) ).
cnf(c_895,plain,
( multiply(inverse(X0),X0) != identity
| sk_c5 != identity
| sk_c5 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_855]) ).
cnf(c_896,plain,
( multiply(inverse(sk_c5),sk_c5) != identity
| sk_c5 != identity
| sk_c5 = multiply(inverse(sk_c5),sk_c5) ),
inference(instantiation,[status(thm)],[c_895]) ).
cnf(c_900,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_901,plain,
( multiply(X0,X1) != multiply(X2,X3)
| sk_c5 != multiply(X2,X3)
| sk_c5 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_855]) ).
cnf(c_920,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_795,c_801]) ).
cnf(c_928,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_920,c_794]) ).
cnf(c_954,plain,
( multiply(sk_c5,sk_c6) != sk_c4
| inverse(sk_c4) != sk_c5
| inverse(sk_c3) = sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_67,c_284]) ).
cnf(c_955,plain,
( multiply(sk_c5,sk_c6) != sk_c4
| inverse(sk_c4) != sk_c5
| inverse(sk_c2) = sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_65,c_284]) ).
cnf(c_1024,plain,
( multiply(sk_c6,sk_c4) != sk_c4
| sk_c4 != sk_c4
| sk_c4 = multiply(sk_c6,sk_c4) ),
inference(instantiation,[status(thm)],[c_739]) ).
cnf(c_1041,plain,
( multiply(sk_c2,sk_c6) != sk_c5
| inverse(sk_c2) != sk_c6
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_283]) ).
cnf(c_1156,plain,
( X0 != multiply(identity,sk_c4)
| sk_c4 != multiply(identity,sk_c4)
| sk_c4 = X0 ),
inference(instantiation,[status(thm)],[c_731]) ).
cnf(c_1157,plain,
( sk_c5 != multiply(identity,sk_c4)
| sk_c4 != multiply(identity,sk_c4)
| sk_c4 = sk_c5 ),
inference(instantiation,[status(thm)],[c_1156]) ).
cnf(c_1235,plain,
( X0 != multiply(sk_c5,sk_c6)
| sk_c4 != multiply(sk_c5,sk_c6)
| X0 = sk_c4 ),
inference(instantiation,[status(thm)],[c_867]) ).
cnf(c_1236,plain,
( sk_c5 != multiply(sk_c5,sk_c6)
| sk_c4 != multiply(sk_c5,sk_c6)
| sk_c5 = sk_c4 ),
inference(instantiation,[status(thm)],[c_1235]) ).
cnf(c_1263,plain,
( sk_c6 != X0
| sk_c5 != X0
| sk_c5 = sk_c6 ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_1264,plain,
( sk_c6 != sk_c5
| sk_c5 != sk_c5
| sk_c5 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1263]) ).
cnf(c_1266,plain,
( multiply(sk_c1,sk_c6) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(sk_c1,sk_c6) ),
inference(instantiation,[status(thm)],[c_855]) ).
cnf(c_1267,plain,
( multiply(sk_c1,sk_c6) != sk_c5
| inverse(sk_c1) != sk_c6
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_283]) ).
cnf(c_1288,plain,
( multiply(sk_c5,sk_c5) = sk_c4
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_62,c_789]) ).
cnf(c_1317,plain,
( inverse(sk_c2) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_888]) ).
cnf(c_1320,plain,
( multiply(identity,sk_c6) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_888]) ).
cnf(c_1321,plain,
multiply(identity,sk_c6) = sk_c6,
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_1339,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_801,c_71]) ).
cnf(c_1341,plain,
multiply(inverse(inverse(X0)),multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[c_801,c_72]) ).
cnf(c_1344,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_801,c_773]) ).
cnf(c_1345,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_801,c_920]) ).
cnf(c_1346,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1345,c_920]) ).
cnf(c_1420,plain,
( multiply(sk_c6,sk_c4) != multiply(identity,X0)
| sk_c5 != multiply(identity,X0)
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(instantiation,[status(thm)],[c_735]) ).
cnf(c_1421,plain,
( multiply(sk_c6,sk_c4) != multiply(identity,sk_c5)
| sk_c5 != multiply(identity,sk_c5)
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(instantiation,[status(thm)],[c_1420]) ).
cnf(c_1422,plain,
( inverse(sk_c6) = sk_c2
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_60,c_1346]) ).
cnf(c_1423,plain,
( inverse(sk_c1) = sk_c6
| inverse(sk_c6) = sk_c2 ),
inference(superposition,[status(thm)],[c_55,c_1346]) ).
cnf(c_1424,plain,
( inverse(sk_c5) = sk_c3
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_62,c_1346]) ).
cnf(c_1425,plain,
( inverse(sk_c1) = sk_c6
| inverse(sk_c5) = sk_c3 ),
inference(superposition,[status(thm)],[c_57,c_1346]) ).
cnf(c_1443,plain,
( multiply(sk_c5,sk_c6) != X0
| X1 != X0
| X1 = multiply(sk_c5,sk_c6) ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_1444,plain,
( multiply(sk_c5,sk_c6) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(sk_c5,sk_c6) ),
inference(instantiation,[status(thm)],[c_1443]) ).
cnf(c_1446,plain,
( X0 != sk_c5
| X1 != sk_c6
| multiply(X0,X1) = multiply(sk_c5,sk_c6) ),
inference(instantiation,[status(thm)],[c_287]) ).
cnf(c_1448,plain,
( sk_c5 != sk_c6
| sk_c5 != sk_c5
| multiply(sk_c5,sk_c5) = multiply(sk_c5,sk_c6) ),
inference(instantiation,[status(thm)],[c_1446]) ).
cnf(c_1458,plain,
( multiply(sk_c3,sk_c5) = identity
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_62,c_1339]) ).
cnf(c_1459,plain,
( multiply(sk_c3,sk_c5) = identity
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_1339]) ).
cnf(c_1465,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1339,c_72]) ).
cnf(c_1499,plain,
multiply(sk_c5,sk_c6) = multiply(sk_c5,sk_c6),
inference(instantiation,[status(thm)],[c_285]) ).
cnf(c_1514,plain,
( multiply(sk_c1,sk_c6) = identity
| inverse(sk_c6) = sk_c2 ),
inference(superposition,[status(thm)],[c_1423,c_1339]) ).
cnf(c_1537,plain,
( multiply(sk_c6,sk_c4) != X0
| sk_c4 != X0
| multiply(sk_c6,sk_c4) = sk_c4 ),
inference(instantiation,[status(thm)],[c_734]) ).
cnf(c_1544,plain,
( multiply(identity,multiply(identity,sk_c4)) != multiply(identity,sk_c4)
| sk_c4 != multiply(identity,sk_c4)
| sk_c4 = multiply(identity,multiply(identity,sk_c4)) ),
inference(instantiation,[status(thm)],[c_1156]) ).
cnf(c_1545,plain,
multiply(identity,multiply(identity,sk_c4)) = multiply(identity,sk_c4),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_1550,plain,
( X0 != identity
| X1 != sk_c4
| multiply(X0,X1) = multiply(identity,sk_c4) ),
inference(instantiation,[status(thm)],[c_287]) ).
cnf(c_1582,plain,
( multiply(sk_c6,sk_c5) = sk_c6
| inverse(sk_c5) = sk_c3
| inverse(sk_c3) = sk_c5 ),
inference(superposition,[status(thm)],[c_1425,c_779]) ).
cnf(c_1583,plain,
( multiply(sk_c1,sk_c6) = identity
| inverse(sk_c5) = sk_c3 ),
inference(superposition,[status(thm)],[c_1425,c_1339]) ).
cnf(c_1638,plain,
( sk_c5 != X0
| identity != X0
| sk_c5 = identity ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_1673,plain,
( multiply(sk_c5,sk_c6) != sk_c4
| X0 != sk_c4
| multiply(sk_c5,sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_900]) ).
cnf(c_1678,plain,
( multiply(identity,X0) != X0
| X1 != X0
| multiply(identity,X0) = X1 ),
inference(instantiation,[status(thm)],[c_900]) ).
cnf(c_1679,plain,
( multiply(inverse(X0),X0) != identity
| X1 != identity
| multiply(inverse(X0),X0) = X1 ),
inference(instantiation,[status(thm)],[c_900]) ).
cnf(c_1683,plain,
( multiply(X0,X1) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| multiply(X0,X1) = X2 ),
inference(instantiation,[status(thm)],[c_900]) ).
cnf(c_1684,plain,
multiply(X0,X1) = multiply(X0,X1),
inference(instantiation,[status(thm)],[c_285]) ).
cnf(c_1688,plain,
( multiply(X0,X1) != multiply(X2,X3)
| X4 != multiply(X2,X3)
| multiply(X0,X1) = X4 ),
inference(instantiation,[status(thm)],[c_900]) ).
cnf(c_1717,plain,
( multiply(sk_c3,multiply(sk_c5,X0)) = multiply(identity,X0)
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_1458,c_72]) ).
cnf(c_1721,plain,
( multiply(sk_c3,multiply(sk_c5,X0)) = X0
| inverse(sk_c4) = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_1717,c_70]) ).
cnf(c_1756,plain,
( multiply(sk_c3,sk_c4) != sk_c5
| X0 != sk_c5
| multiply(sk_c3,sk_c4) = X0 ),
inference(instantiation,[status(thm)],[c_900]) ).
cnf(c_1763,plain,
( multiply(sk_c3,multiply(sk_c5,X0)) = multiply(identity,X0)
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_1459,c_72]) ).
cnf(c_1767,plain,
( multiply(sk_c3,multiply(sk_c5,X0)) = X0
| inverse(sk_c1) = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_1763,c_70]) ).
cnf(c_1775,plain,
( multiply(sk_c6,sk_c4) != multiply(sk_c3,sk_c4)
| sk_c5 != multiply(sk_c3,sk_c4)
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(instantiation,[status(thm)],[c_735]) ).
cnf(c_1777,plain,
( multiply(X0,X1) != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_901]) ).
cnf(c_1779,plain,
( multiply(X0,X1) != multiply(sk_c3,sk_c4)
| sk_c5 != multiply(sk_c3,sk_c4)
| sk_c5 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_901]) ).
cnf(c_1781,plain,
( multiply(X0,X1) != multiply(identity,X2)
| sk_c5 != multiply(identity,X2)
| sk_c5 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_901]) ).
cnf(c_1782,plain,
( multiply(sk_c5,sk_c5) != multiply(identity,sk_c5)
| sk_c5 != multiply(identity,sk_c5)
| sk_c5 = multiply(sk_c5,sk_c5) ),
inference(instantiation,[status(thm)],[c_1781]) ).
cnf(c_1821,plain,
( multiply(inverse(sk_c5),multiply(sk_c4,inverse(sk_c6))) = identity
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_782,c_1465]) ).
cnf(c_1822,plain,
( multiply(inverse(sk_c5),multiply(sk_c4,inverse(sk_c6))) = identity
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_781,c_1465]) ).
cnf(c_1980,plain,
( X0 != inverse(sk_c2)
| sk_c6 != inverse(sk_c2)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_860]) ).
cnf(c_1981,plain,
( sk_c6 != inverse(sk_c2)
| sk_c5 != inverse(sk_c2)
| sk_c6 = sk_c5 ),
inference(instantiation,[status(thm)],[c_1980]) ).
cnf(c_2099,plain,
( multiply(X0,X1) != multiply(sk_c1,sk_c6)
| sk_c5 != multiply(sk_c1,sk_c6)
| sk_c5 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_901]) ).
cnf(c_2136,plain,
( multiply(sk_c3,sk_c4) != X0
| X1 != X0
| multiply(sk_c3,sk_c4) = X1 ),
inference(instantiation,[status(thm)],[c_900]) ).
cnf(c_2137,plain,
( multiply(sk_c3,sk_c4) != X0
| sk_c5 != X0
| sk_c5 = multiply(sk_c3,sk_c4) ),
inference(instantiation,[status(thm)],[c_855]) ).
cnf(c_2181,plain,
( multiply(sk_c1,multiply(sk_c6,X0)) = X0
| inverse(sk_c6) = sk_c2 ),
inference(superposition,[status(thm)],[c_1423,c_1344]) ).
cnf(c_2240,plain,
( multiply(sk_c5,sk_c5) = sk_c4
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_790]) ).
cnf(c_2281,plain,
multiply(identity,multiply(sk_c3,sk_c4)) = multiply(sk_c3,sk_c4),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_2284,plain,
( X0 != sk_c3
| X1 != sk_c4
| multiply(X0,X1) = multiply(sk_c3,sk_c4) ),
inference(instantiation,[status(thm)],[c_287]) ).
cnf(c_2288,plain,
( multiply(sk_c6,sk_c4) != multiply(sk_c6,sk_c4)
| multiply(sk_c3,sk_c4) != multiply(sk_c6,sk_c4)
| multiply(sk_c6,sk_c4) = multiply(sk_c3,sk_c4) ),
inference(instantiation,[status(thm)],[c_854]) ).
cnf(c_2299,plain,
( inverse(inverse(sk_c6)) != sk_c6
| sk_c6 != sk_c4
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c5 ),
inference(superposition,[status(thm)],[c_792,c_281]) ).
cnf(c_2308,plain,
( sk_c6 != sk_c4
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c5 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2299,c_1346]) ).
cnf(c_2320,plain,
( inverse(inverse(sk_c6)) != sk_c6
| sk_c6 != sk_c4
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_793,c_281]) ).
cnf(c_2326,plain,
( sk_c6 != sk_c4
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c6 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2320,c_1346]) ).
cnf(c_2344,plain,
( ~ sP0_iProver_split
| inverse(sk_c1) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_528,c_55,c_528]) ).
cnf(c_2350,plain,
( sk_c6 != sk_c5
| sk_c6 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_529,c_928]) ).
cnf(c_2455,plain,
( sk_c6 != X0
| sk_c5 != X1
| multiply(sk_c5,sk_c6) = multiply(X1,X0) ),
inference(instantiation,[status(thm)],[c_287]) ).
cnf(c_2457,plain,
( sk_c6 != sk_c5
| sk_c5 != sk_c5
| multiply(sk_c5,sk_c6) = multiply(sk_c5,sk_c5) ),
inference(instantiation,[status(thm)],[c_2455]) ).
cnf(c_2573,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_2755,plain,
( X0 != sk_c5
| sk_c6 != sk_c6
| multiply(X0,sk_c6) = multiply(sk_c5,sk_c6) ),
inference(instantiation,[status(thm)],[c_1446]) ).
cnf(c_2838,plain,
( multiply(sk_c6,sk_c4) != X0
| sk_c6 != X0
| multiply(sk_c6,sk_c4) = sk_c6 ),
inference(instantiation,[status(thm)],[c_734]) ).
cnf(c_2857,plain,
( multiply(sk_c3,sk_c4) != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 = multiply(sk_c3,sk_c4) ),
inference(instantiation,[status(thm)],[c_1777]) ).
cnf(c_2906,plain,
( X0 != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_860]) ).
cnf(c_2969,plain,
( multiply(sk_c6,sk_c4) != multiply(identity,multiply(identity,sk_c4))
| sk_c4 != multiply(identity,multiply(identity,sk_c4))
| multiply(sk_c6,sk_c4) = sk_c4 ),
inference(instantiation,[status(thm)],[c_1537]) ).
cnf(c_2974,plain,
( X0 != multiply(identity,multiply(identity,sk_c4))
| sk_c4 != multiply(identity,multiply(identity,sk_c4))
| sk_c4 = X0 ),
inference(instantiation,[status(thm)],[c_731]) ).
cnf(c_3116,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_285]) ).
cnf(c_3118,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_3125,plain,
( multiply(sk_c6,sk_c4) != multiply(sk_c6,sk_c4)
| identity != multiply(sk_c6,sk_c4)
| multiply(sk_c6,sk_c4) = identity ),
inference(instantiation,[status(thm)],[c_854]) ).
cnf(c_3129,plain,
( multiply(sk_c3,sk_c4) != sk_c5
| identity != sk_c5
| multiply(sk_c3,sk_c4) = identity ),
inference(instantiation,[status(thm)],[c_1756]) ).
cnf(c_3241,plain,
( multiply(identity,X0) != sk_c4
| multiply(sk_c5,sk_c6) != sk_c4
| multiply(sk_c5,sk_c6) = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_1673]) ).
cnf(c_3249,plain,
( multiply(identity,X0) != multiply(sk_c5,sk_c6)
| sk_c4 != multiply(sk_c5,sk_c6)
| multiply(identity,X0) = sk_c4 ),
inference(instantiation,[status(thm)],[c_1235]) ).
cnf(c_3264,plain,
( multiply(identity,sk_c4) != sk_c4
| X0 != sk_c4
| multiply(identity,sk_c4) = X0 ),
inference(instantiation,[status(thm)],[c_1678]) ).
cnf(c_3276,plain,
( multiply(identity,X0) != multiply(sk_c3,sk_c4)
| sk_c5 != multiply(sk_c3,sk_c4)
| sk_c5 = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_1779]) ).
cnf(c_3553,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_1339,c_796]) ).
cnf(c_3568,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_3553,c_920]) ).
cnf(c_4035,plain,
( multiply(inverse(X0),X0) != identity
| multiply(sk_c6,sk_c4) != identity
| multiply(inverse(X0),X0) = multiply(sk_c6,sk_c4) ),
inference(instantiation,[status(thm)],[c_1679]) ).
cnf(c_4049,plain,
( X0 != identity
| X1 != X2
| multiply(X0,X1) = multiply(identity,X2) ),
inference(instantiation,[status(thm)],[c_287]) ).
cnf(c_4050,plain,
( sk_c5 != sk_c5
| sk_c5 != identity
| multiply(sk_c5,sk_c5) = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_4049]) ).
cnf(c_4074,plain,
( multiply(identity,multiply(X0,X1)) != multiply(X0,X1)
| multiply(X0,X1) != multiply(X0,X1)
| multiply(X0,X1) = multiply(identity,multiply(X0,X1)) ),
inference(instantiation,[status(thm)],[c_1683]) ).
cnf(c_4081,plain,
( multiply(X0,X1) != X2
| X3 != X2
| X3 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_4082,plain,
( multiply(X0,X1) != multiply(X0,X1)
| multiply(X2,X3) != multiply(X0,X1)
| multiply(X0,X1) = multiply(X2,X3) ),
inference(instantiation,[status(thm)],[c_1683]) ).
cnf(c_4093,plain,
( multiply(sk_c3,sk_c4) != multiply(sk_c3,sk_c4)
| sk_c5 != multiply(sk_c3,sk_c4)
| multiply(sk_c3,sk_c4) = sk_c5 ),
inference(instantiation,[status(thm)],[c_1683]) ).
cnf(c_4127,plain,
( multiply(X0,X1) != multiply(identity,X2)
| sk_c5 != multiply(identity,X2)
| multiply(X0,X1) = sk_c5 ),
inference(instantiation,[status(thm)],[c_1688]) ).
cnf(c_4128,plain,
( multiply(sk_c5,sk_c5) != multiply(identity,sk_c5)
| sk_c5 != multiply(identity,sk_c5)
| multiply(sk_c5,sk_c5) = sk_c5 ),
inference(instantiation,[status(thm)],[c_4127]) ).
cnf(c_4135,plain,
( multiply(X0,X1) != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| multiply(X0,X1) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1688]) ).
cnf(c_4142,plain,
( multiply(X0,X1) != multiply(identity,multiply(identity,sk_c4))
| sk_c4 != multiply(identity,multiply(identity,sk_c4))
| multiply(X0,X1) = sk_c4 ),
inference(instantiation,[status(thm)],[c_1688]) ).
cnf(c_4447,plain,
( inverse(sk_c1) != X0
| sk_c5 != X0
| sk_c5 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_4545,plain,
( multiply(inverse(sk_c4),sk_c5) = inverse(sk_c6)
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_59,c_3568]) ).
cnf(c_4546,plain,
( multiply(inverse(sk_c4),sk_c5) = inverse(sk_c6)
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_54,c_3568]) ).
cnf(c_4556,plain,
( multiply(inverse(sk_c5),sk_c6) = inverse(sk_c4)
| inverse(sk_c3) = sk_c5 ),
inference(superposition,[status(thm)],[c_67,c_3568]) ).
cnf(c_4557,plain,
( multiply(inverse(sk_c5),sk_c6) = inverse(sk_c4)
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_65,c_3568]) ).
cnf(c_4561,plain,
( multiply(inverse(sk_c4),sk_c5) = inverse(sk_c5)
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_2240,c_3568]) ).
cnf(c_4562,plain,
( multiply(inverse(sk_c4),sk_c5) = inverse(sk_c5)
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_1288,c_3568]) ).
cnf(c_4574,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_773,c_3568]) ).
cnf(c_4807,plain,
( inverse(sk_c2) != X0
| X1 != X0
| X1 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_4843,plain,
( inverse(sk_c1) != X0
| X1 != X0
| X1 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_5026,plain,
multiply(sk_c3,sk_c4) = multiply(sk_c3,sk_c4),
inference(instantiation,[status(thm)],[c_1684]) ).
cnf(c_5089,plain,
( inverse(sk_c6) = sk_c2
| inverse(sk_c2) = sk_c6
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_1514,c_50]) ).
cnf(c_5296,plain,
( multiply(identity,sk_c4) != multiply(sk_c3,sk_c4)
| sk_c5 != multiply(sk_c3,sk_c4)
| sk_c5 = multiply(identity,sk_c4) ),
inference(instantiation,[status(thm)],[c_3276]) ).
cnf(c_5616,plain,
( inverse(sk_c5) = sk_c3
| inverse(sk_c3) = sk_c5
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_1583,c_52]) ).
cnf(c_5716,plain,
( multiply(sk_c5,inverse(sk_c4)) = sk_c6
| inverse(sk_c3) = sk_c5 ),
inference(superposition,[status(thm)],[c_4556,c_1344]) ).
cnf(c_5750,plain,
( multiply(sk_c5,inverse(sk_c4)) = sk_c6
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_4557,c_1344]) ).
cnf(c_5758,plain,
( ~ sP0_iProver_split
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_525,c_65,c_525]) ).
cnf(c_5780,plain,
( ~ sP1_iProver_split
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_555,c_67,c_555]) ).
cnf(c_5969,plain,
( sk_c6 != sk_c6
| identity != sk_c5
| multiply(identity,sk_c6) = multiply(sk_c5,sk_c6) ),
inference(instantiation,[status(thm)],[c_2755]) ).
cnf(c_5970,plain,
( multiply(identity,sk_c6) != multiply(sk_c5,sk_c6)
| sk_c4 != multiply(sk_c5,sk_c6)
| multiply(identity,sk_c6) = sk_c4 ),
inference(instantiation,[status(thm)],[c_3249]) ).
cnf(c_6044,plain,
( multiply(sk_c3,sk_c4) = sk_c6
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_59,c_1721]) ).
cnf(c_6137,plain,
( inverse(sk_c4) = sk_c5
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_6044,c_63]) ).
cnf(c_6156,plain,
( inverse(sk_c5) = sk_c4
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_6137,c_1346]) ).
cnf(c_6158,plain,
( multiply(sk_c5,sk_c4) = identity
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_6137,c_71]) ).
cnf(c_6210,plain,
( inverse(sk_c5) != sk_c5
| sk_c5 != identity
| ~ sP1_iProver_split
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_6158,c_282]) ).
cnf(c_6240,plain,
( multiply(identity,sk_c4) != sk_c4
| multiply(identity,sk_c4) = multiply(identity,sk_c4) ),
inference(instantiation,[status(thm)],[c_3264]) ).
cnf(c_7258,plain,
( multiply(sk_c3,sk_c4) = sk_c6
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_54,c_1767]) ).
cnf(c_7302,plain,
( inverse(sk_c1) = sk_c6
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_7258,c_58]) ).
cnf(c_7323,plain,
( multiply(sk_c1,sk_c6) = identity
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_7302,c_1339]) ).
cnf(c_7324,plain,
( inverse(sk_c6) = sk_c1
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_7302,c_1346]) ).
cnf(c_7358,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_2573]) ).
cnf(c_7359,plain,
( sk_c5 != identity
| identity != identity
| identity = sk_c5 ),
inference(instantiation,[status(thm)],[c_7358]) ).
cnf(c_7387,plain,
( multiply(identity,X0) != X0
| X1 != X0
| X1 = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_4081]) ).
cnf(c_7388,plain,
( multiply(inverse(X0),X0) != identity
| X1 != identity
| X1 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_4081]) ).
cnf(c_7394,plain,
( multiply(sk_c6,sk_c4) != X0
| X1 != X0
| X1 = multiply(sk_c6,sk_c4) ),
inference(instantiation,[status(thm)],[c_4081]) ).
cnf(c_7482,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| sk_c6 = sk_c5
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_7323,c_49]) ).
cnf(c_8412,plain,
( multiply(identity,multiply(sk_c3,sk_c4)) != multiply(sk_c3,sk_c4)
| multiply(sk_c3,sk_c4) != multiply(sk_c3,sk_c4)
| multiply(sk_c3,sk_c4) = multiply(identity,multiply(sk_c3,sk_c4)) ),
inference(instantiation,[status(thm)],[c_4074]) ).
cnf(c_8414,plain,
( multiply(sk_c3,sk_c4) != multiply(identity,multiply(sk_c3,sk_c4))
| X0 != multiply(identity,multiply(sk_c3,sk_c4))
| multiply(sk_c3,sk_c4) = X0 ),
inference(instantiation,[status(thm)],[c_2136]) ).
cnf(c_8577,plain,
( multiply(X0,X1) != multiply(sk_c5,sk_c6)
| multiply(sk_c5,sk_c6) != multiply(sk_c5,sk_c6)
| multiply(sk_c5,sk_c6) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_4082]) ).
cnf(c_8580,plain,
( multiply(sk_c5,sk_c6) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| X2 = multiply(sk_c5,sk_c6) ),
inference(instantiation,[status(thm)],[c_1443]) ).
cnf(c_8582,plain,
( multiply(sk_c5,sk_c6) != multiply(sk_c5,sk_c6)
| multiply(sk_c5,sk_c5) != multiply(sk_c5,sk_c6)
| multiply(sk_c5,sk_c6) = multiply(sk_c5,sk_c5) ),
inference(instantiation,[status(thm)],[c_8577]) ).
cnf(c_8583,plain,
( multiply(sk_c5,sk_c6) != multiply(sk_c5,sk_c5)
| sk_c5 != multiply(sk_c5,sk_c5)
| sk_c5 = multiply(sk_c5,sk_c6) ),
inference(instantiation,[status(thm)],[c_8580]) ).
cnf(c_8821,plain,
( multiply(X0,X1) != multiply(identity,multiply(identity,sk_c4))
| sk_c4 != multiply(identity,multiply(identity,sk_c4))
| sk_c4 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_2974]) ).
cnf(c_8823,plain,
( multiply(sk_c5,sk_c5) != multiply(identity,multiply(identity,sk_c4))
| sk_c4 != multiply(identity,multiply(identity,sk_c4))
| sk_c4 = multiply(sk_c5,sk_c5) ),
inference(instantiation,[status(thm)],[c_8821]) ).
cnf(c_9029,plain,
( multiply(X0,X1) != sk_c4
| multiply(sk_c5,sk_c6) != sk_c4
| multiply(sk_c5,sk_c6) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1673]) ).
cnf(c_9033,plain,
( multiply(sk_c5,sk_c6) != sk_c4
| multiply(sk_c5,sk_c5) != sk_c4
| multiply(sk_c5,sk_c6) = multiply(sk_c5,sk_c5) ),
inference(instantiation,[status(thm)],[c_9029]) ).
cnf(c_9044,plain,
( multiply(X0,X1) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_888]) ).
cnf(c_9046,plain,
( multiply(sk_c5,sk_c5) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c5,sk_c5) ),
inference(instantiation,[status(thm)],[c_9044]) ).
cnf(c_9049,plain,
( multiply(sk_c2,sk_c6) != X0
| sk_c5 != X0
| multiply(sk_c2,sk_c6) = sk_c5 ),
inference(instantiation,[status(thm)],[c_900]) ).
cnf(c_9238,plain,
( inverse(sk_c6) = sk_c2
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_5089,c_1346]) ).
cnf(c_9335,plain,
( inverse(sk_c5) = sk_c3
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_5616,c_1346]) ).
cnf(c_9434,plain,
( inverse(sk_c2) = sk_c6
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_9238,c_1346]) ).
cnf(c_9520,plain,
( inverse(sk_c3) = sk_c5
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_9335,c_1346]) ).
cnf(c_9610,plain,
( multiply(inverse(X0),X0) != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_1777]) ).
cnf(c_9950,plain,
( X0 != identity
| sk_c4 != sk_c4
| multiply(X0,sk_c4) = multiply(identity,sk_c4) ),
inference(instantiation,[status(thm)],[c_1550]) ).
cnf(c_10000,plain,
( multiply(inverse(X0),X0) != multiply(sk_c3,sk_c4)
| sk_c5 != multiply(sk_c3,sk_c4)
| sk_c5 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_1779]) ).
cnf(c_10002,plain,
( multiply(inverse(sk_c5),sk_c5) != multiply(sk_c3,sk_c4)
| sk_c5 != multiply(sk_c3,sk_c4)
| sk_c5 = multiply(inverse(sk_c5),sk_c5) ),
inference(instantiation,[status(thm)],[c_10000]) ).
cnf(c_10009,plain,
( multiply(inverse(X0),X0) != identity
| multiply(sk_c1,sk_c6) != identity
| multiply(inverse(X0),X0) = multiply(sk_c1,sk_c6) ),
inference(instantiation,[status(thm)],[c_1679]) ).
cnf(c_10011,plain,
( multiply(inverse(X0),X0) != multiply(sk_c1,sk_c6)
| sk_c5 != multiply(sk_c1,sk_c6)
| sk_c5 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_2099]) ).
cnf(c_10318,plain,
( multiply(identity,sk_c4) != multiply(identity,sk_c4)
| X0 != multiply(identity,sk_c4)
| multiply(identity,sk_c4) = X0 ),
inference(instantiation,[status(thm)],[c_1683]) ).
cnf(c_10520,plain,
( multiply(sk_c5,sk_c6) != multiply(X0,X1)
| sk_c4 != multiply(X0,X1)
| multiply(sk_c5,sk_c6) = sk_c4 ),
inference(instantiation,[status(thm)],[c_1688]) ).
cnf(c_10521,plain,
( multiply(sk_c5,sk_c6) != multiply(sk_c5,sk_c5)
| sk_c4 != multiply(sk_c5,sk_c5)
| multiply(sk_c5,sk_c6) = sk_c4 ),
inference(instantiation,[status(thm)],[c_10520]) ).
cnf(c_10863,plain,
( sk_c6 != identity
| sk_c4 != multiply(identity,sk_c4)
| multiply(sk_c6,sk_c4) = multiply(identity,multiply(identity,sk_c4)) ),
inference(instantiation,[status(thm)],[c_4049]) ).
cnf(c_10874,plain,
( X0 != identity
| X1 != multiply(identity,sk_c4)
| multiply(X0,X1) = multiply(identity,multiply(identity,sk_c4)) ),
inference(instantiation,[status(thm)],[c_4049]) ).
cnf(c_10875,plain,
( sk_c5 != multiply(identity,sk_c4)
| sk_c5 != identity
| multiply(sk_c5,sk_c5) = multiply(identity,multiply(identity,sk_c4)) ),
inference(instantiation,[status(thm)],[c_10874]) ).
cnf(c_10966,plain,
( multiply(X0,X1) != X2
| sk_c4 != X2
| sk_c4 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_4081]) ).
cnf(c_10976,plain,
( multiply(sk_c5,sk_c5) != sk_c5
| sk_c4 != sk_c5
| sk_c4 = multiply(sk_c5,sk_c5) ),
inference(instantiation,[status(thm)],[c_10966]) ).
cnf(c_10990,plain,
( sk_c6 != multiply(X0,X1)
| sk_c5 != multiply(X0,X1)
| sk_c5 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1263]) ).
cnf(c_10996,plain,
( sk_c6 != multiply(sk_c5,sk_c5)
| sk_c5 != multiply(sk_c5,sk_c5)
| sk_c5 = sk_c6 ),
inference(instantiation,[status(thm)],[c_10990]) ).
cnf(c_11399,plain,
( sk_c4 != X0
| identity != X0
| identity = sk_c4 ),
inference(instantiation,[status(thm)],[c_2573]) ).
cnf(c_11409,plain,
( sk_c4 != sk_c5
| identity != sk_c5
| identity = sk_c4 ),
inference(instantiation,[status(thm)],[c_11399]) ).
cnf(c_11414,plain,
( sk_c6 != X0
| identity != X0
| identity = sk_c6 ),
inference(instantiation,[status(thm)],[c_2573]) ).
cnf(c_11416,plain,
( sk_c6 != sk_c6
| identity != sk_c6
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_888]) ).
cnf(c_11417,plain,
( sk_c6 != sk_c5
| identity != sk_c5
| identity = sk_c6 ),
inference(instantiation,[status(thm)],[c_11414]) ).
cnf(c_11429,plain,
( inverse(sk_c2) != X0
| identity != X0
| identity = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_2573]) ).
cnf(c_11431,plain,
( sk_c6 != inverse(sk_c2)
| identity != inverse(sk_c2)
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_1980]) ).
cnf(c_11442,plain,
( multiply(identity,sk_c6) != X0
| identity != X0
| identity = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_2573]) ).
cnf(c_11443,plain,
( sk_c6 != multiply(identity,sk_c6)
| identity != multiply(identity,sk_c6)
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_2906]) ).
cnf(c_11447,plain,
( multiply(sk_c6,sk_c4) != X0
| identity != X0
| identity = multiply(sk_c6,sk_c4) ),
inference(instantiation,[status(thm)],[c_2573]) ).
cnf(c_11949,plain,
( sk_c6 != X0
| identity != X0
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_3118]) ).
cnf(c_11952,plain,
( multiply(sk_c6,sk_c4) != identity
| sk_c6 != identity
| multiply(sk_c6,sk_c4) = sk_c6 ),
inference(instantiation,[status(thm)],[c_2838]) ).
cnf(c_11955,plain,
( sk_c6 != identity
| sk_c4 != X0
| multiply(sk_c6,sk_c4) = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_736]) ).
cnf(c_11956,plain,
( sk_c6 != sk_c5
| identity != sk_c5
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_11949]) ).
cnf(c_11957,plain,
( sk_c6 != identity
| sk_c4 != sk_c5
| multiply(sk_c6,sk_c4) = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_11955]) ).
cnf(c_11964,plain,
( multiply(sk_c3,sk_c4) != X0
| identity != X0
| multiply(sk_c3,sk_c4) = identity ),
inference(instantiation,[status(thm)],[c_3118]) ).
cnf(c_11967,plain,
( multiply(sk_c3,sk_c4) != identity
| sk_c5 != identity
| sk_c5 = multiply(sk_c3,sk_c4) ),
inference(instantiation,[status(thm)],[c_2137]) ).
cnf(c_12375,plain,
( multiply(sk_c5,sk_c6) != sk_c4
| inverse(sk_c4) != sk_c5
| inverse(sk_c2) = sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_65,c_284]) ).
cnf(c_12414,plain,
( sP1_iProver_split
| sP0_iProver_split
| inverse(sk_c2) = sk_c6
| multiply(sk_c5,sk_c6) != sk_c4 ),
inference(global_subsumption_just,[status(thm)],[c_12375,c_60,c_55,c_599,c_955]) ).
cnf(c_12415,plain,
( multiply(sk_c5,sk_c6) != sk_c4
| inverse(sk_c2) = sk_c6
| sP0_iProver_split
| sP1_iProver_split ),
inference(renaming,[status(thm)],[c_12414]) ).
cnf(c_12447,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_71,c_72]) ).
cnf(c_12509,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_12447,c_70]) ).
cnf(c_12531,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_71,c_12509]) ).
cnf(c_12539,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_12509,c_12509]) ).
cnf(c_12583,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_12531,c_12539]) ).
cnf(c_12586,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_12583,c_71]) ).
cnf(c_12646,plain,
( inverse(identity) != sk_c5
| sk_c5 != sk_c4
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_70,c_282]) ).
cnf(c_12649,plain,
( sk_c5 != sk_c4
| sk_c5 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_12646,c_12586]) ).
cnf(c_15331,plain,
( X0 != multiply(sk_c6,sk_c4)
| sk_c4 != multiply(sk_c6,sk_c4)
| X0 = sk_c4 ),
inference(instantiation,[status(thm)],[c_867]) ).
cnf(c_15332,plain,
( X0 != multiply(sk_c6,sk_c4)
| sk_c4 != multiply(sk_c6,sk_c4)
| sk_c4 = X0 ),
inference(instantiation,[status(thm)],[c_731]) ).
cnf(c_15333,plain,
( sk_c5 != multiply(sk_c6,sk_c4)
| sk_c4 != multiply(sk_c6,sk_c4)
| sk_c4 = sk_c5 ),
inference(instantiation,[status(thm)],[c_15332]) ).
cnf(c_15334,plain,
( sk_c5 != multiply(sk_c6,sk_c4)
| sk_c4 != multiply(sk_c6,sk_c4)
| sk_c5 = sk_c4 ),
inference(instantiation,[status(thm)],[c_15331]) ).
cnf(c_16120,plain,
( sk_c6 != multiply(sk_c5,sk_c6)
| sk_c4 != multiply(sk_c5,sk_c6)
| sk_c6 = sk_c4 ),
inference(instantiation,[status(thm)],[c_1235]) ).
cnf(c_16224,plain,
( multiply(sk_c5,sk_c6) != sk_c4
| multiply(identity,sk_c6) != sk_c4
| multiply(sk_c5,sk_c6) = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_3241]) ).
cnf(c_16225,plain,
( multiply(sk_c5,sk_c6) != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| multiply(sk_c5,sk_c6) = sk_c6 ),
inference(instantiation,[status(thm)],[c_4135]) ).
cnf(c_16383,plain,
( multiply(sk_c2,sk_c6) != identity
| sk_c5 != identity
| multiply(sk_c2,sk_c6) = sk_c5 ),
inference(instantiation,[status(thm)],[c_9049]) ).
cnf(c_16985,plain,
( multiply(sk_c6,sk_c4) != X0
| multiply(sk_c3,sk_c4) != X0
| multiply(sk_c3,sk_c4) = multiply(sk_c6,sk_c4) ),
inference(instantiation,[status(thm)],[c_7394]) ).
cnf(c_17409,plain,
( ~ sP1_iProver_split
| sk_c5 != identity
| inverse(sk_c5) != sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_6210,c_291,c_740,c_762,c_864,c_865,c_1024,c_1544,c_1545,c_2969,c_3116,c_5780,c_6210,c_7359,c_10863,c_11956,c_12649,c_15334]) ).
cnf(c_17410,plain,
( inverse(sk_c5) != sk_c5
| sk_c5 != identity
| ~ sP1_iProver_split ),
inference(renaming,[status(thm)],[c_17409]) ).
cnf(c_18467,plain,
( multiply(sk_c5,sk_c6) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c5,sk_c6) ),
inference(instantiation,[status(thm)],[c_9044]) ).
cnf(c_18508,plain,
( multiply(inverse(X0),inverse(X1)) != sk_c6
| multiply(X1,multiply(X0,sk_c6)) != sk_c5
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_651,c_4574]) ).
cnf(c_18555,plain,
( multiply(sk_c3,multiply(X0,sk_c6)) != sk_c5
| multiply(inverse(X0),sk_c5) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_18508]) ).
cnf(c_19389,plain,
( inverse(sk_c1) != sk_c6
| sk_c5 != sk_c6
| sk_c5 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_4447]) ).
cnf(c_20840,plain,
( multiply(sk_c6,sk_c4) != multiply(identity,multiply(sk_c3,sk_c4))
| multiply(sk_c3,sk_c4) != multiply(identity,multiply(sk_c3,sk_c4))
| multiply(sk_c3,sk_c4) = multiply(sk_c6,sk_c4) ),
inference(instantiation,[status(thm)],[c_8414]) ).
cnf(c_21074,plain,
( sk_c4 != identity
| identity != identity
| identity = sk_c4 ),
inference(instantiation,[status(thm)],[c_11399]) ).
cnf(c_21097,plain,
( inverse(sk_c2) != identity
| identity != identity
| identity = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_11429]) ).
cnf(c_21436,plain,
( inverse(X0) != sk_c3
| X1 != sk_c4
| multiply(inverse(X0),X1) = multiply(sk_c3,sk_c4) ),
inference(instantiation,[status(thm)],[c_2284]) ).
cnf(c_21438,plain,
( inverse(sk_c5) != sk_c3
| sk_c5 != sk_c4
| multiply(inverse(sk_c5),sk_c5) = multiply(sk_c3,sk_c4) ),
inference(instantiation,[status(thm)],[c_21436]) ).
cnf(c_22049,plain,
( inverse(sk_c1) != sk_c6
| X0 != sk_c6
| X0 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_4843]) ).
cnf(c_23668,plain,
( sP1_iProver_split
| multiply(sk_c5,sk_c6) != sk_c4
| inverse(sk_c3) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_954,c_62,c_57,c_598,c_740,c_858,c_863,c_954,c_1320,c_1321,c_2308,c_3116,c_5969,c_5970,c_7359,c_9520,c_16120,c_16224,c_16225,c_18467]) ).
cnf(c_23669,plain,
( multiply(sk_c5,sk_c6) != sk_c4
| inverse(sk_c3) = sk_c5
| sP1_iProver_split ),
inference(renaming,[status(thm)],[c_23668]) ).
cnf(c_23683,plain,
( sP1_iProver_split
| multiply(sk_c5,sk_c6) != sk_c4
| inverse(sk_c2) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_955,c_740,c_858,c_863,c_1320,c_1321,c_2326,c_3116,c_5969,c_5970,c_7359,c_9434,c_12415,c_16120,c_16224,c_16225,c_18467]) ).
cnf(c_23684,plain,
( multiply(sk_c5,sk_c6) != sk_c4
| inverse(sk_c2) = sk_c6
| sP1_iProver_split ),
inference(renaming,[status(thm)],[c_23683]) ).
cnf(c_24176,plain,
( multiply(sk_c3,sk_c4) != sk_c4
| identity != sk_c4
| multiply(sk_c3,sk_c4) = identity ),
inference(instantiation,[status(thm)],[c_11964]) ).
cnf(c_25560,plain,
( multiply(sk_c5,sk_c5) = sk_c6
| inverse(sk_c5) = sk_c3
| inverse(sk_c3) = sk_c5 ),
inference(superposition,[status(thm)],[c_1424,c_5716]) ).
cnf(c_25706,plain,
( multiply(sk_c5,sk_c5) = sk_c6
| inverse(sk_c6) = sk_c2
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_1422,c_5750]) ).
cnf(c_27918,plain,
( sk_c4 != sk_c4
| sk_c3 != identity
| multiply(sk_c3,sk_c4) = multiply(identity,sk_c4) ),
inference(instantiation,[status(thm)],[c_9950]) ).
cnf(c_28976,plain,
( multiply(identity,X0) != X0
| identity != X0
| identity = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_7387]) ).
cnf(c_28977,plain,
( multiply(sk_c6,sk_c4) != multiply(identity,X0)
| identity != multiply(identity,X0)
| identity = multiply(sk_c6,sk_c4) ),
inference(instantiation,[status(thm)],[c_11447]) ).
cnf(c_28986,plain,
( multiply(identity,sk_c5) != sk_c5
| identity != sk_c5
| identity = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_28976]) ).
cnf(c_28994,plain,
( multiply(sk_c6,sk_c4) != multiply(identity,sk_c5)
| identity != multiply(identity,sk_c5)
| identity = multiply(sk_c6,sk_c4) ),
inference(instantiation,[status(thm)],[c_28977]) ).
cnf(c_29604,plain,
( multiply(inverse(sk_c5),sk_c5) != sk_c6
| sk_c6 != sk_c5
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_1767,c_18555]) ).
cnf(c_29614,plain,
( multiply(inverse(sk_c5),sk_c5) != sk_c6
| multiply(sk_c3,sk_c4) != sk_c5
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_54,c_18555]) ).
cnf(c_29713,plain,
( multiply(inverse(sk_c5),sk_c5) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_29614,c_7302,c_29604]) ).
cnf(c_29715,plain,
( sk_c6 != identity
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c6 ),
inference(demodulation,[status(thm)],[c_29713,c_71]) ).
cnf(c_30522,plain,
( multiply(identity,sk_c6) != sk_c4
| identity != sk_c4
| identity = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_11442]) ).
cnf(c_31494,plain,
( multiply(sk_c3,sk_c4) != multiply(identity,multiply(identity,sk_c4))
| sk_c4 != multiply(identity,multiply(identity,sk_c4))
| multiply(sk_c3,sk_c4) = sk_c4 ),
inference(instantiation,[status(thm)],[c_4142]) ).
cnf(c_32341,plain,
( multiply(inverse(X0),X0) != identity
| sk_c6 != identity
| sk_c6 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_7388]) ).
cnf(c_32342,plain,
( sk_c6 != multiply(inverse(X0),X0)
| identity != multiply(inverse(X0),X0)
| identity = sk_c6 ),
inference(instantiation,[status(thm)],[c_11414]) ).
cnf(c_32361,plain,
( multiply(inverse(X0),X0) != identity
| identity != identity
| identity = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_7388]) ).
cnf(c_32362,plain,
( sk_c5 != multiply(inverse(X0),X0)
| identity != multiply(inverse(X0),X0)
| sk_c5 = identity ),
inference(instantiation,[status(thm)],[c_1638]) ).
cnf(c_32372,plain,
( multiply(inverse(sk_c5),sk_c5) != identity
| identity != identity
| identity = multiply(inverse(sk_c5),sk_c5) ),
inference(instantiation,[status(thm)],[c_32361]) ).
cnf(c_32381,plain,
( sk_c5 != multiply(inverse(sk_c5),sk_c5)
| identity != multiply(inverse(sk_c5),sk_c5)
| sk_c5 = identity ),
inference(instantiation,[status(thm)],[c_32362]) ).
cnf(c_32402,plain,
( multiply(inverse(X0),X0) != identity
| inverse(sk_c2) != identity
| inverse(sk_c2) = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_7388]) ).
cnf(c_32404,plain,
( inverse(sk_c2) != multiply(inverse(X0),X0)
| X1 != multiply(inverse(X0),X0)
| X1 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_4807]) ).
cnf(c_32408,plain,
( multiply(inverse(sk_c5),sk_c5) != identity
| inverse(sk_c2) != identity
| inverse(sk_c2) = multiply(inverse(sk_c5),sk_c5) ),
inference(instantiation,[status(thm)],[c_32402]) ).
cnf(c_32409,plain,
( inverse(sk_c2) != multiply(inverse(sk_c5),sk_c5)
| sk_c5 != multiply(inverse(sk_c5),sk_c5)
| sk_c5 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_32404]) ).
cnf(c_32739,plain,
( inverse(sk_c5) = sk_c3
| inverse(sk_c3) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_1582,c_73,c_67,c_291,c_740,c_762,c_858,c_864,c_865,c_889,c_894,c_1024,c_1448,c_1499,c_1544,c_1545,c_1782,c_2969,c_3116,c_4050,c_4128,c_7359,c_8582,c_9046,c_9335,c_10521,c_10863,c_10976,c_10996,c_11956,c_12649,c_15333,c_15334,c_23669,c_25560]) ).
cnf(c_32764,plain,
inverse(sk_c5) = sk_c3,
inference(superposition,[status(thm)],[c_32739,c_1346]) ).
cnf(c_32791,plain,
( sk_c5 != sk_c3
| sk_c5 != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_17410,c_32764]) ).
cnf(c_32830,plain,
( sk_c6 = sk_c5
| sk_c4 = sk_c3 ),
inference(demodulation,[status(thm)],[c_6156,c_32764]) ).
cnf(c_33065,plain,
inverse(sk_c3) = sk_c5,
inference(superposition,[status(thm)],[c_32764,c_1346]) ).
cnf(c_33066,plain,
multiply(sk_c3,multiply(sk_c5,X0)) = X0,
inference(superposition,[status(thm)],[c_32764,c_773]) ).
cnf(c_33067,plain,
multiply(sk_c3,sk_c5) = identity,
inference(superposition,[status(thm)],[c_32764,c_71]) ).
cnf(c_33101,plain,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c5,sk_c5) = sk_c4 ),
inference(demodulation,[status(thm)],[c_787,c_33065]) ).
cnf(c_34184,plain,
( multiply(sk_c1,sk_c5) = sk_c4
| inverse(sk_c6) = sk_c2
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_65,c_2181]) ).
cnf(c_34259,plain,
( inverse(sk_c6) = sk_c2
| inverse(sk_c2) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_34184,c_73,c_65,c_291,c_740,c_762,c_858,c_864,c_865,c_889,c_894,c_1024,c_1448,c_1499,c_1544,c_1545,c_1782,c_2969,c_3116,c_4050,c_4128,c_7359,c_8582,c_9046,c_9238,c_10521,c_10863,c_10976,c_10996,c_11956,c_12649,c_15333,c_15334,c_23684,c_25706]) ).
cnf(c_34278,plain,
inverse(sk_c6) = sk_c2,
inference(superposition,[status(thm)],[c_34259,c_1346]) ).
cnf(c_34312,plain,
( sk_c1 = sk_c2
| sk_c6 = sk_c5 ),
inference(demodulation,[status(thm)],[c_7324,c_34278]) ).
cnf(c_34315,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c2
| inverse(sk_c1) = sk_c6 ),
inference(demodulation,[status(thm)],[c_4546,c_34278]) ).
cnf(c_34316,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c2
| inverse(sk_c4) = sk_c5 ),
inference(demodulation,[status(thm)],[c_4545,c_34278]) ).
cnf(c_34386,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm)],[c_34278,c_1339]) ).
cnf(c_34387,plain,
inverse(sk_c2) = sk_c6,
inference(superposition,[status(thm)],[c_34278,c_1346]) ).
cnf(c_34389,plain,
multiply(sk_c2,sk_c6) = identity,
inference(superposition,[status(thm)],[c_34278,c_71]) ).
cnf(c_34532,plain,
( multiply(sk_c1,sk_c5) = sk_c6
| multiply(sk_c6,sk_c4) = sk_c5
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_34312,c_66]) ).
cnf(c_35945,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c3
| inverse(sk_c1) = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_4561,c_32764]) ).
cnf(c_35962,plain,
( inverse(sk_c1) = sk_c6
| sk_c2 = sk_c3 ),
inference(superposition,[status(thm)],[c_35945,c_34315]) ).
cnf(c_35981,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c3
| inverse(sk_c4) = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_4562,c_32764]) ).
cnf(c_35997,plain,
( inverse(sk_c4) = sk_c5
| sk_c2 = sk_c3 ),
inference(superposition,[status(thm)],[c_35981,c_34316]) ).
cnf(c_36523,plain,
( multiply(sk_c1,sk_c6) = identity
| sk_c2 = sk_c3 ),
inference(superposition,[status(thm)],[c_35962,c_1339]) ).
cnf(c_36524,plain,
( inverse(sk_c6) = sk_c1
| sk_c2 = sk_c3 ),
inference(superposition,[status(thm)],[c_35962,c_1346]) ).
cnf(c_36530,plain,
( sk_c1 = sk_c2
| sk_c2 = sk_c3 ),
inference(light_normalisation,[status(thm)],[c_36524,c_34278]) ).
cnf(c_36639,plain,
( multiply(sk_c2,sk_c5) = identity
| sk_c1 = sk_c2 ),
inference(superposition,[status(thm)],[c_36530,c_33067]) ).
cnf(c_37476,plain,
( inverse(sk_c5) = sk_c4
| sk_c2 = sk_c3 ),
inference(superposition,[status(thm)],[c_35997,c_1346]) ).
cnf(c_37482,plain,
( sk_c4 = sk_c3
| sk_c2 = sk_c3 ),
inference(light_normalisation,[status(thm)],[c_37476,c_32764]) ).
cnf(c_37544,plain,
( multiply(sk_c2,sk_c5) = identity
| sk_c4 = sk_c3 ),
inference(superposition,[status(thm)],[c_37482,c_33067]) ).
cnf(c_38325,plain,
( sk_c4 != multiply(identity,sk_c4)
| sk_c3 != identity
| multiply(sk_c3,sk_c4) = multiply(identity,multiply(identity,sk_c4)) ),
inference(instantiation,[status(thm)],[c_10874]) ).
cnf(c_39455,plain,
( inverse(sk_c1) != sk_c6
| identity != sk_c6
| identity = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_22049]) ).
cnf(c_39456,plain,
( sk_c5 != inverse(sk_c1)
| identity != inverse(sk_c1)
| sk_c5 = identity ),
inference(instantiation,[status(thm)],[c_1638]) ).
cnf(c_39686,plain,
( multiply(sk_c3,multiply(sk_c4,sk_c2)) = identity
| inverse(sk_c1) = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_1821,c_32764,c_34278]) ).
cnf(c_39702,plain,
( multiply(sk_c3,multiply(multiply(sk_c4,sk_c2),X0)) = multiply(identity,X0)
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_39686,c_72]) ).
cnf(c_39717,plain,
( multiply(sk_c3,multiply(multiply(sk_c4,sk_c2),X0)) = X0
| inverse(sk_c1) = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_39702,c_70]) ).
cnf(c_40038,plain,
( multiply(sk_c3,multiply(sk_c4,multiply(sk_c2,X0))) = X0
| inverse(sk_c1) = sk_c6 ),
inference(demodulation,[status(thm)],[c_39717,c_1341,c_1346]) ).
cnf(c_40052,plain,
( multiply(sk_c3,multiply(sk_c4,sk_c6)) = sk_c5
| multiply(sk_c6,sk_c4) = sk_c5
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_66,c_40038]) ).
cnf(c_40055,plain,
( multiply(sk_c3,multiply(sk_c4,sk_c6)) = sk_c5
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_56,c_40038]) ).
cnf(c_40319,plain,
( multiply(sk_c5,sk_c6) = sk_c5
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_40055,c_643]) ).
cnf(c_40367,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| sk_c5 = identity
| sk_c2 = sk_c3 ),
inference(superposition,[status(thm)],[c_36523,c_49]) ).
cnf(c_40506,plain,
( inverse(sk_c1) = sk_c6
| sk_c1 = sk_c2
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_36639,c_56]) ).
cnf(c_40677,plain,
( multiply(sk_c3,sk_c4) != sk_c6
| sk_c5 != sk_c6
| sk_c5 = multiply(sk_c3,sk_c4) ),
inference(instantiation,[status(thm)],[c_2137]) ).
cnf(c_40895,plain,
( inverse(sk_c1) = sk_c6
| sk_c6 = identity ),
inference(global_subsumption_just,[status(thm)],[c_40506,c_74,c_58,c_54,c_291,c_740,c_863,c_892,c_1236,c_1444,c_3116,c_7302,c_7359,c_10002,c_11956,c_21438,c_32372,c_32381,c_32764,c_40319]) ).
cnf(c_40901,plain,
( ~ sP2_iProver_split
| inverse(sk_c1) = sk_c6 ),
inference(backward_subsumption_resolution,[status(thm)],[c_29715,c_40895]) ).
cnf(c_40910,plain,
( multiply(sk_c1,sk_c6) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_40895,c_1339]) ).
cnf(c_40911,plain,
( inverse(sk_c6) = sk_c1
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_40895,c_1346]) ).
cnf(c_40917,plain,
( sk_c1 = sk_c2
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_40911,c_34278]) ).
cnf(c_41039,plain,
( sk_c5 = identity
| multiply(sk_c5,sk_c6) = sk_c4 ),
inference(global_subsumption_just,[status(thm)],[c_40367,c_71,c_54,c_49,c_291,c_1264,c_1266,c_3116,c_7482,c_10009,c_10011,c_19389,c_32341,c_32342,c_32361,c_32362,c_39455,c_39456,c_40910]) ).
cnf(c_41040,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| sk_c5 = identity ),
inference(renaming,[status(thm)],[c_41039]) ).
cnf(c_41054,plain,
( multiply(sk_c3,sk_c4) = sk_c6
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_41040,c_33066]) ).
cnf(c_41103,plain,
( multiply(sk_c6,sk_c4) = sk_c5
| inverse(sk_c1) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_40052,c_73,c_64,c_291,c_740,c_863,c_875,c_894,c_1421,c_1444,c_11957,c_40319,c_40895]) ).
cnf(c_41109,plain,
( multiply(sk_c5,sk_c6) != sk_c4
| inverse(sk_c4) != sk_c5
| inverse(sk_c1) = sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_41103,c_284]) ).
cnf(c_41185,plain,
( inverse(sk_c1) = sk_c6
| inverse(sk_c4) != sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_41109,c_54,c_528,c_558,c_33065,c_34387,c_40901,c_41109]) ).
cnf(c_41186,plain,
( inverse(sk_c4) != sk_c5
| inverse(sk_c1) = sk_c6 ),
inference(renaming,[status(thm)],[c_41185]) ).
cnf(c_41287,plain,
( multiply(sk_c3,multiply(sk_c4,sk_c2)) = identity
| inverse(sk_c4) = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_1822,c_32764,c_34278]) ).
cnf(c_41303,plain,
( multiply(sk_c3,multiply(multiply(sk_c4,sk_c2),X0)) = multiply(identity,X0)
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_41287,c_72]) ).
cnf(c_41318,plain,
( multiply(sk_c3,multiply(multiply(sk_c4,sk_c2),X0)) = X0
| inverse(sk_c4) = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_41303,c_70]) ).
cnf(c_41845,plain,
( multiply(sk_c1,sk_c5) = sk_c6
| multiply(sk_c6,sk_c4) = sk_c5
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_40917,c_66]) ).
cnf(c_41997,plain,
( multiply(sk_c1,sk_c6) = sk_c5
| sk_c6 = identity
| sk_c4 = sk_c3 ),
inference(superposition,[status(thm)],[c_37544,c_51]) ).
cnf(c_41998,plain,
( inverse(sk_c4) = sk_c5
| sk_c6 = identity
| sk_c4 = sk_c3 ),
inference(superposition,[status(thm)],[c_37544,c_61]) ).
cnf(c_42333,plain,
( sk_c6 = identity
| sk_c4 = sk_c3 ),
inference(global_subsumption_just,[status(thm)],[c_41998,c_71,c_291,c_858,c_1266,c_3116,c_7359,c_10009,c_10011,c_11417,c_11416,c_32361,c_32362,c_32830,c_40910,c_41997]) ).
cnf(c_42361,plain,
( multiply(sk_c4,sk_c5) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_42333,c_33067]) ).
cnf(c_42516,plain,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c1,sk_c5) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_41845,c_73,c_71,c_64,c_291,c_740,c_863,c_875,c_894,c_1264,c_1421,c_1782,c_3116,c_4050,c_8583,c_9033,c_11957,c_19389,c_32341,c_32342,c_32361,c_33101,c_34532,c_39455,c_39456,c_41103,c_41845]) ).
cnf(c_42517,plain,
( multiply(sk_c1,sk_c5) = sk_c6
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(renaming,[status(thm)],[c_42516]) ).
cnf(c_42834,plain,
( multiply(sk_c3,multiply(sk_c4,multiply(sk_c2,X0))) = X0
| inverse(sk_c4) = sk_c5 ),
inference(demodulation,[status(thm)],[c_41318,c_1341,c_1346]) ).
cnf(c_42853,plain,
( multiply(sk_c3,multiply(sk_c4,sk_c6)) = sk_c5
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_61,c_42834]) ).
cnf(c_43102,plain,
( multiply(sk_c5,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_42853,c_642]) ).
cnf(c_44116,plain,
( multiply(sk_c6,sk_c4) = sk_c5
| sk_c6 = sk_c5
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_41054,c_68]) ).
cnf(c_44117,plain,
( multiply(sk_c1,sk_c6) = sk_c5
| sk_c6 = sk_c5
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_41054,c_53]) ).
cnf(c_44122,plain,
( inverse(sk_c3) != sk_c5
| sk_c6 != sk_c5
| ~ sP1_iProver_split
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_41054,c_282]) ).
cnf(c_44151,plain,
( sk_c6 != sk_c5
| ~ sP1_iProver_split
| sk_c5 = identity ),
inference(forward_subsumption_resolution,[status(thm)],[c_44122,c_33065]) ).
cnf(c_44266,plain,
( multiply(sk_c3,sk_c4) != multiply(identity,multiply(identity,sk_c4))
| sk_c4 != multiply(identity,multiply(identity,sk_c4))
| sk_c4 = multiply(sk_c3,sk_c4) ),
inference(instantiation,[status(thm)],[c_8821]) ).
cnf(c_44368,plain,
( sk_c6 = sk_c5
| sk_c5 = identity ),
inference(global_subsumption_just,[status(thm)],[c_44116,c_71,c_291,c_1266,c_3116,c_7323,c_10009,c_10011,c_32361,c_32362,c_44117]) ).
cnf(c_44415,plain,
( inverse(sk_c5) = sk_c2
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_44368,c_34278]) ).
cnf(c_44445,plain,
( multiply(X0,sk_c5) != sk_c5
| inverse(X0) != sk_c6
| ~ sP2_iProver_split
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_44368,c_283]) ).
cnf(c_44450,plain,
( sk_c5 = identity
| sk_c2 = sk_c3 ),
inference(light_normalisation,[status(thm)],[c_44415,c_32764]) ).
cnf(c_44686,plain,
( sk_c6 != identity
| sk_c4 != multiply(sk_c3,sk_c4)
| multiply(sk_c6,sk_c4) = multiply(identity,multiply(sk_c3,sk_c4)) ),
inference(instantiation,[status(thm)],[c_11955]) ).
cnf(c_45358,plain,
( multiply(sk_c3,sk_c4) != multiply(identity,sk_c4)
| multiply(identity,sk_c4) != multiply(identity,sk_c4)
| multiply(identity,sk_c4) = multiply(sk_c3,sk_c4) ),
inference(instantiation,[status(thm)],[c_10318]) ).
cnf(c_45643,plain,
( multiply(sk_c2,sk_c4) = sk_c5
| inverse(sk_c4) = sk_c5
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_44450,c_63]) ).
cnf(c_46169,plain,
( inverse(sk_c4) = sk_c5
| sk_c5 = identity ),
inference(global_subsumption_just,[status(thm)],[c_45643,c_74,c_63,c_59,c_291,c_740,c_863,c_892,c_1236,c_1444,c_3116,c_10002,c_21438,c_32372,c_32381,c_32764,c_43102]) ).
cnf(c_46175,plain,
( inverse(sk_c1) = sk_c6
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_46169,c_41186]) ).
cnf(c_46198,plain,
( inverse(sk_c5) = sk_c4
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_46169,c_1346]) ).
cnf(c_46204,plain,
( sk_c5 = identity
| sk_c4 = sk_c3 ),
inference(light_normalisation,[status(thm)],[c_46198,c_32764]) ).
cnf(c_46422,plain,
( multiply(sk_c6,sk_c4) != sk_c6
| multiply(sk_c3,sk_c4) != sk_c6
| multiply(sk_c3,sk_c4) = multiply(sk_c6,sk_c4) ),
inference(instantiation,[status(thm)],[c_16985]) ).
cnf(c_46567,plain,
( ~ sP2_iProver_split
| inverse(X0) != sk_c6
| multiply(X0,sk_c5) != sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_44445,c_1041,c_16383,c_34387,c_34389,c_44445]) ).
cnf(c_46568,plain,
( multiply(X0,sk_c5) != sk_c5
| inverse(X0) != sk_c6
| ~ sP2_iProver_split ),
inference(renaming,[status(thm)],[c_46567]) ).
cnf(c_46579,plain,
( inverse(sk_c2) != sk_c6
| sk_c6 != sk_c5
| ~ sP2_iProver_split
| multiply(sk_c1,sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_51,c_46568]) ).
cnf(c_46582,plain,
( inverse(identity) != sk_c6
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_70,c_46568]) ).
cnf(c_46598,plain,
( sk_c6 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_46582,c_928]) ).
cnf(c_46608,plain,
( sk_c6 != sk_c5
| ~ sP2_iProver_split
| multiply(sk_c1,sk_c6) = sk_c5 ),
inference(forward_subsumption_resolution,[status(thm)],[c_46579,c_34387]) ).
cnf(c_46639,plain,
( inverse(sk_c6) = sk_c1
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_46175,c_1346]) ).
cnf(c_46645,plain,
( sk_c1 = sk_c2
| sk_c5 = identity ),
inference(light_normalisation,[status(thm)],[c_46639,c_34278]) ).
cnf(c_47151,plain,
~ sP2_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_46598,c_1041,c_1267,c_16383,c_34387,c_34389,c_40901,c_44368,c_46608]) ).
cnf(c_47153,plain,
( multiply(sk_c6,sk_c4) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c4
| inverse(sk_c4) != sk_c5
| sP0_iProver_split
| sP1_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_284,c_47151]) ).
cnf(c_47166,plain,
( sk_c5 = identity
| sk_c4 = sk_c2 ),
inference(superposition,[status(thm)],[c_46204,c_44450]) ).
cnf(c_47270,plain,
( multiply(sk_c1,sk_c6) = sk_c5
| multiply(sk_c1,sk_c5) = sk_c6
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_46645,c_51]) ).
cnf(c_47332,plain,
( multiply(sk_c6,sk_c4) = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_47166,c_34386]) ).
cnf(c_47341,plain,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_47166,c_66]) ).
cnf(c_47342,plain,
( multiply(sk_c1,sk_c6) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_47166,c_51]) ).
cnf(c_47393,plain,
( multiply(sk_c1,sk_c5) = sk_c6
| sk_c5 = identity ),
inference(global_subsumption_just,[status(thm)],[c_47270,c_71,c_291,c_762,c_3116,c_4035,c_9610,c_32361,c_32362,c_42517,c_47332]) ).
cnf(c_47402,plain,
( inverse(sk_c1) != sk_c6
| ~ sP0_iProver_split
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_47393,c_281]) ).
cnf(c_47420,plain,
( ~ sP0_iProver_split
| sk_c5 = identity ),
inference(global_subsumption_just,[status(thm)],[c_47402,c_2344,c_47402]) ).
cnf(c_47426,plain,
( multiply(sk_c4,sk_c5) = sk_c6
| sk_c5 = identity ),
inference(global_subsumption_just,[status(thm)],[c_47341,c_71,c_54,c_49,c_291,c_1264,c_1266,c_3116,c_7482,c_10009,c_10011,c_19389,c_32341,c_32342,c_32361,c_32362,c_39455,c_39456,c_40910,c_44151,c_44368,c_46169,c_47153,c_47341,c_47420]) ).
cnf(c_47451,plain,
( sk_c6 = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_47426,c_42361]) ).
cnf(c_47486,plain,
sk_c5 = identity,
inference(global_subsumption_just,[status(thm)],[c_47342,c_71,c_54,c_49,c_291,c_284,c_733,c_1041,c_1264,c_1266,c_1267,c_1775,c_2288,c_3116,c_7482,c_10009,c_10011,c_11952,c_16383,c_19389,c_32341,c_32342,c_32361,c_32362,c_34387,c_34389,c_39455,c_39456,c_40677,c_40901,c_40910,c_41054,c_44151,c_44368,c_46169,c_46422,c_46608,c_47332,c_47420,c_47451]) ).
cnf(c_47582,plain,
( sk_c3 != identity
| identity != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_32791,c_47486]) ).
cnf(c_47586,plain,
inverse(identity) = sk_c3,
inference(demodulation,[status(thm)],[c_32764,c_47486]) ).
cnf(c_47633,plain,
( ~ sP0_iProver_split
| multiply(sk_c6,sk_c4) = identity ),
inference(demodulation,[status(thm)],[c_5758,c_47486]) ).
cnf(c_47640,plain,
( sk_c6 != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_2350,c_47486]) ).
cnf(c_47651,plain,
( multiply(sk_c6,sk_c4) = identity
| multiply(identity,sk_c6) = sk_c4 ),
inference(demodulation,[status(thm)],[c_64,c_47486]) ).
cnf(c_47654,plain,
( multiply(sk_c3,sk_c4) = identity
| inverse(sk_c4) = identity ),
inference(demodulation,[status(thm)],[c_63,c_47486]) ).
cnf(c_47661,plain,
sk_c3 = identity,
inference(light_normalisation,[status(thm)],[c_47586,c_928]) ).
cnf(c_47761,plain,
( sk_c3 != identity
| ~ sP1_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_47582]) ).
cnf(c_47762,plain,
~ sP1_iProver_split,
inference(forward_subsumption_resolution,[status(thm)],[c_47761,c_47661]) ).
cnf(c_47987,plain,
( sk_c6 = identity
| sk_c4 = identity ),
inference(demodulation,[status(thm)],[c_42333,c_47661]) ).
cnf(c_48070,plain,
multiply(sk_c3,sk_c4) = identity,
inference(global_subsumption_just,[status(thm)],[c_47654,c_71,c_54,c_68,c_49,c_291,c_284,c_733,c_740,c_762,c_864,c_865,c_1041,c_1264,c_1266,c_1267,c_1544,c_1545,c_1775,c_2281,c_2288,c_2857,c_3116,c_3129,c_4093,c_5026,c_7359,c_7482,c_8412,c_10009,c_10011,c_11952,c_16383,c_19389,c_20840,c_21074,c_24176,c_31494,c_32341,c_32342,c_32361,c_32362,c_34387,c_34389,c_38325,c_39455,c_39456,c_40677,c_40901,c_40910,c_41054,c_44151,c_44266,c_44368,c_44686,c_46169,c_46422,c_46608,c_47332,c_47420,c_47451,c_47661,c_47987]) ).
cnf(c_48072,plain,
multiply(identity,sk_c4) = identity,
inference(light_normalisation,[status(thm)],[c_48070,c_47661]) ).
cnf(c_48073,plain,
sk_c4 = identity,
inference(demodulation,[status(thm)],[c_48072,c_70]) ).
cnf(c_48092,plain,
multiply(sk_c6,sk_c4) = identity,
inference(global_subsumption_just,[status(thm)],[c_47633,c_73,c_71,c_54,c_68,c_49,c_291,c_284,c_733,c_740,c_762,c_858,c_864,c_865,c_1041,c_1157,c_1264,c_1266,c_1267,c_1320,c_1321,c_1544,c_1545,c_1775,c_2281,c_2288,c_2857,c_3116,c_3125,c_3129,c_4093,c_5026,c_5296,c_6240,c_7359,c_7482,c_8412,c_10009,c_10011,c_11409,c_11443,c_11957,c_11952,c_11967,c_16383,c_19389,c_20840,c_21074,c_24176,c_27918,c_28986,c_28994,c_30522,c_31494,c_32341,c_32342,c_32361,c_32362,c_34387,c_34389,c_38325,c_39455,c_39456,c_40677,c_40901,c_40910,c_41054,c_44151,c_44266,c_44368,c_44686,c_45358,c_46169,c_46422,c_46608,c_47332,c_47420,c_47451,c_47661,c_47987,c_47651]) ).
cnf(c_48094,plain,
multiply(sk_c6,identity) = identity,
inference(light_normalisation,[status(thm)],[c_48092,c_48073]) ).
cnf(c_48095,plain,
sk_c6 = identity,
inference(demodulation,[status(thm)],[c_48094,c_920]) ).
cnf(c_48107,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm)],[c_34387,c_48095]) ).
cnf(c_48163,plain,
inverse(sk_c4) != sk_c5,
inference(global_subsumption_just,[status(thm)],[c_47153,c_73,c_74,c_291,c_284,c_740,c_858,c_864,c_865,c_894,c_896,c_1157,c_1317,c_1421,c_1544,c_1545,c_1981,c_2457,c_3116,c_5296,c_6240,c_8823,c_10521,c_10875,c_11431,c_11957,c_11967,c_21097,c_27918,c_32408,c_32409,c_34387,c_45358,c_47151,c_47486,c_47762,c_47661,c_47640,c_48070,c_48107]) ).
cnf(c_48165,plain,
identity != identity,
inference(light_normalisation,[status(thm)],[c_48163,c_928,c_47486,c_48073]) ).
cnf(c_48166,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_48165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP278-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n023.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 : Tue Aug 29 00:08:25 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.63/2.20 % SZS status Started for theBenchmark.p
% 9.63/2.20 % SZS status Unsatisfiable for theBenchmark.p
% 9.63/2.20
% 9.63/2.20 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.63/2.20
% 9.63/2.20 ------ iProver source info
% 9.63/2.20
% 9.63/2.20 git: date: 2023-05-31 18:12:56 +0000
% 9.63/2.20 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.63/2.20 git: non_committed_changes: false
% 9.63/2.20 git: last_make_outside_of_git: false
% 9.63/2.20
% 9.63/2.20 ------ Parsing...successful
% 9.63/2.20
% 9.63/2.20
% 9.63/2.20
% 9.63/2.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 9.63/2.20
% 9.63/2.20 ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.63/2.20
% 9.63/2.20 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 9.63/2.20 ------ Proving...
% 9.63/2.20 ------ Problem Properties
% 9.63/2.20
% 9.63/2.20
% 9.63/2.20 clauses 27
% 9.63/2.20 conjectures 24
% 9.63/2.20 EPR 0
% 9.63/2.20 Horn 6
% 9.63/2.20 unary 3
% 9.63/2.20 binary 20
% 9.63/2.20 lits 58
% 9.63/2.20 lits eq 52
% 9.63/2.20 fd_pure 0
% 9.63/2.20 fd_pseudo 0
% 9.63/2.20 fd_cond 0
% 9.63/2.20 fd_pseudo_cond 0
% 9.63/2.20 AC symbols 0
% 9.63/2.20
% 9.63/2.20 ------ Schedule dynamic 5 is on
% 9.63/2.20
% 9.63/2.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.63/2.20
% 9.63/2.20
% 9.63/2.20 ------
% 9.63/2.20 Current options:
% 9.63/2.20 ------
% 9.63/2.20
% 9.63/2.20
% 9.63/2.20
% 9.63/2.20
% 9.63/2.20 ------ Proving...
% 9.63/2.20
% 9.63/2.20
% 9.63/2.20 % SZS status Unsatisfiable for theBenchmark.p
% 9.63/2.20
% 9.63/2.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.63/2.20
% 9.63/2.21
%------------------------------------------------------------------------------