TSTP Solution File: GRP347-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP347-1 : 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 00:59:27 EDT 2023
% Result : Unsatisfiable 10.11s 2.14s
% Output : CNFRefutation 10.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 35
% Syntax : Number of clauses : 389 ( 65 unt; 156 nHn; 333 RR)
% Number of literals : 912 ( 829 equ; 384 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 171 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c7) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c7
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c6
| inverse(X3) != sk_c7
| inverse(sk_c6) != sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_81,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_82,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_379,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_79]) ).
cnf(c_380,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_79]) ).
cnf(c_381,negated_conjecture,
( multiply(X0,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_79]) ).
cnf(c_382,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_79]) ).
cnf(c_383,negated_conjecture,
( multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c7
| inverse(sk_c6) != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79]) ).
cnf(c_384,plain,
X0 = X0,
theory(equality) ).
cnf(c_385,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_386,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_390,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_613,plain,
( multiply(sk_c7,sk_c4) = identity
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_72,c_81]) ).
cnf(c_614,plain,
( multiply(sk_c7,sk_c4) = identity
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_81]) ).
cnf(c_740,plain,
( inverse(sk_c3) != sk_c6
| ~ sP0_iProver_split
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_63,c_379]) ).
cnf(c_742,plain,
( inverse(sk_c3) != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_69,c_379]) ).
cnf(c_743,plain,
( inverse(sk_c3) != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_57,c_379]) ).
cnf(c_746,plain,
( inverse(sk_c1) != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_64,c_379]) ).
cnf(c_749,plain,
( inverse(inverse(sk_c6)) != sk_c6
| sk_c7 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_379]) ).
cnf(c_794,plain,
( inverse(sk_c2) != sk_c6
| ~ sP1_iProver_split
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_76,c_380]) ).
cnf(c_796,plain,
( inverse(identity) != sk_c6
| sk_c6 != sk_c5
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_380]) ).
cnf(c_838,plain,
( inverse(sk_c4) != sk_c7
| ~ sP2_iProver_split
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_65,c_381]) ).
cnf(c_840,plain,
( inverse(sk_c4) != sk_c7
| ~ sP2_iProver_split
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_71,c_381]) ).
cnf(c_841,plain,
( inverse(sk_c4) != sk_c7
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_381]) ).
cnf(c_874,plain,
( multiply(sk_c6,sk_c7) != X0
| sk_c5 != X0
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_875,plain,
( multiply(sk_c6,sk_c7) != sk_c6
| sk_c5 != sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(instantiation,[status(thm)],[c_874]) ).
cnf(c_883,plain,
( inverse(sk_c3) != sk_c7
| ~ sP3_iProver_split
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_63,c_382]) ).
cnf(c_885,plain,
( inverse(sk_c3) != sk_c7
| ~ sP3_iProver_split
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_69,c_382]) ).
cnf(c_886,plain,
( inverse(sk_c3) != sk_c7
| ~ sP3_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_57,c_382]) ).
cnf(c_889,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_64,c_382]) ).
cnf(c_891,plain,
( inverse(identity) != sk_c7
| sk_c6 != sk_c7
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_382]) ).
cnf(c_927,plain,
( X0 != X1
| sk_c5 != X1
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_928,plain,
( X0 != sk_c5
| sk_c5 != sk_c5
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_927]) ).
cnf(c_929,plain,
sk_c5 = sk_c5,
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_930,plain,
( sk_c6 != sk_c5
| sk_c5 != sk_c5
| sk_c5 = sk_c6 ),
inference(instantiation,[status(thm)],[c_928]) ).
cnf(c_934,plain,
( inverse(sk_c6) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_928]) ).
cnf(c_936,plain,
( multiply(identity,sk_c5) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_928]) ).
cnf(c_937,plain,
multiply(identity,sk_c5) = sk_c5,
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_939,plain,
( X0 != X1
| sk_c5 != X1
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_957,plain,
( multiply(sk_c6,sk_c5) != sk_c7
| inverse(sk_c6) != sk_c5
| inverse(sk_c3) = sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_52,c_383]) ).
cnf(c_974,plain,
( X0 != inverse(sk_c6)
| sk_c5 != inverse(sk_c6)
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_927]) ).
cnf(c_989,plain,
( multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_69,c_82]) ).
cnf(c_990,plain,
( multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_57,c_82]) ).
cnf(c_994,plain,
( multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_71,c_82]) ).
cnf(c_995,plain,
( multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_82]) ).
cnf(c_999,plain,
( multiply(sk_c1,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_62,c_82]) ).
cnf(c_1005,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_1009,plain,
( multiply(sk_c7,multiply(sk_c4,X0)) = multiply(identity,X0)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_614,c_82]) ).
cnf(c_1010,plain,
( multiply(sk_c7,multiply(sk_c4,X0)) = multiply(identity,X0)
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_613,c_82]) ).
cnf(c_1024,plain,
( multiply(sk_c7,multiply(sk_c4,X0)) = X0
| inverse(sk_c2) = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_1010,c_80]) ).
cnf(c_1027,plain,
( multiply(sk_c7,multiply(sk_c4,X0)) = X0
| inverse(sk_c1) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_1009,c_80]) ).
cnf(c_1136,plain,
( X0 != multiply(identity,sk_c5)
| sk_c5 != multiply(identity,sk_c5)
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_927]) ).
cnf(c_1142,plain,
( X0 != inverse(sk_c6)
| sk_c5 != inverse(sk_c6)
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_939]) ).
cnf(c_1146,plain,
( X0 != multiply(identity,sk_c5)
| sk_c5 != multiply(identity,sk_c5)
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_939]) ).
cnf(c_1148,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_928]) ).
cnf(c_1150,plain,
( inverse(X0) != X1
| sk_c6 != X1
| inverse(X0) = sk_c6 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1153,plain,
( multiply(identity,inverse(sk_c6)) != inverse(sk_c6)
| sk_c5 != inverse(sk_c6)
| sk_c5 = multiply(identity,inverse(sk_c6)) ),
inference(instantiation,[status(thm)],[c_974]) ).
cnf(c_1154,plain,
multiply(identity,inverse(sk_c6)) = inverse(sk_c6),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1156,plain,
( inverse(sk_c6) != X0
| X1 != X0
| X1 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1174,plain,
( multiply(identity,multiply(identity,sk_c5)) != multiply(identity,sk_c5)
| sk_c5 != multiply(identity,sk_c5)
| sk_c5 = multiply(identity,multiply(identity,sk_c5)) ),
inference(instantiation,[status(thm)],[c_1136]) ).
cnf(c_1175,plain,
multiply(identity,multiply(identity,sk_c5)) = multiply(identity,sk_c5),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1180,plain,
( X0 != identity
| X1 != sk_c5
| multiply(X0,X1) = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_386]) ).
cnf(c_1184,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1005,c_80]) ).
cnf(c_1191,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c7
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_54,c_1184]) ).
cnf(c_1192,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c7
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_52,c_1184]) ).
cnf(c_1193,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c7
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_50,c_1184]) ).
cnf(c_1199,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_51,c_1184]) ).
cnf(c_1200,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c6
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_69,c_1184]) ).
cnf(c_1201,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_57,c_1184]) ).
cnf(c_1204,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_53,c_1184]) ).
cnf(c_1205,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c7
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_71,c_1184]) ).
cnf(c_1206,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_1184]) ).
cnf(c_1210,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c6
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_62,c_1184]) ).
cnf(c_1211,plain,
( multiply(inverse(sk_c2),sk_c6) = sk_c5
| multiply(sk_c6,sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_73,c_1184]) ).
cnf(c_1215,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_1184]) ).
cnf(c_1216,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_1184]) ).
cnf(c_1217,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_82,c_1184]) ).
cnf(c_1224,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1184,c_1184]) ).
cnf(c_1300,plain,
( multiply(sk_c2,sk_c5) != sk_c6
| inverse(sk_c2) != sk_c6
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_380]) ).
cnf(c_1305,plain,
( inverse(sk_c1) != sk_c7
| sk_c6 != sk_c7
| inverse(sk_c1) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1150]) ).
cnf(c_1310,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1311,plain,
( inverse(X0) != inverse(X1)
| sk_c6 != inverse(X1)
| inverse(X0) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1150]) ).
cnf(c_1313,plain,
( X0 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_939]) ).
cnf(c_1316,plain,
( sk_c6 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 = sk_c5 ),
inference(instantiation,[status(thm)],[c_1313]) ).
cnf(c_1319,plain,
( X0 != multiply(identity,inverse(sk_c6))
| sk_c5 != multiply(identity,inverse(sk_c6))
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_927]) ).
cnf(c_1322,plain,
( multiply(identity,inverse(sk_c6)) != inverse(sk_c6)
| sk_c5 != inverse(sk_c6)
| multiply(identity,inverse(sk_c6)) = sk_c5 ),
inference(instantiation,[status(thm)],[c_1142]) ).
cnf(c_1330,plain,
( X0 != inverse(X1)
| sk_c5 != inverse(X1)
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_939]) ).
cnf(c_1331,plain,
( X0 != inverse(X1)
| sk_c5 != inverse(X1)
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_927]) ).
cnf(c_1333,plain,
( multiply(identity,multiply(identity,sk_c5)) != multiply(identity,sk_c5)
| sk_c5 != multiply(identity,sk_c5)
| multiply(identity,multiply(identity,sk_c5)) = sk_c5 ),
inference(instantiation,[status(thm)],[c_1146]) ).
cnf(c_1344,plain,
( inverse(sk_c6) != sk_c5
| X0 != sk_c5
| X0 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_1156]) ).
cnf(c_1401,plain,
multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[status(thm)],[c_1215,c_1184]) ).
cnf(c_1421,plain,
( X0 != multiply(identity,multiply(identity,sk_c5))
| sk_c5 != multiply(identity,multiply(identity,sk_c5))
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_927]) ).
cnf(c_1424,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1216,c_1224]) ).
cnf(c_1432,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1424,c_1215]) ).
cnf(c_1441,plain,
( sk_c5 != X0
| identity != X1
| multiply(identity,sk_c5) = multiply(X1,X0) ),
inference(instantiation,[status(thm)],[c_386]) ).
cnf(c_1461,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1224,c_81]) ).
cnf(c_1463,plain,
multiply(inverse(inverse(X0)),multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[c_1224,c_82]) ).
cnf(c_1466,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1224,c_1184]) ).
cnf(c_1467,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1224,c_1424]) ).
cnf(c_1468,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1467,c_1424]) ).
cnf(c_1495,plain,
inverse(inverse(sk_c6)) = sk_c6,
inference(instantiation,[status(thm)],[c_1468]) ).
cnf(c_1520,plain,
( X0 != sk_c5
| identity != identity
| multiply(identity,X0) = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_1180]) ).
cnf(c_1521,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_1523,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1684,plain,
( inverse(sk_c6) = sk_c5
| inverse(sk_c6) = sk_c2 ),
inference(superposition,[status(thm)],[c_68,c_1468]) ).
cnf(c_1753,plain,
( inverse(X0) != X1
| sk_c6 != X1
| sk_c6 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1770,plain,
( inverse(sk_c3) != sk_c6
| X0 != sk_c6
| inverse(sk_c3) = X0 ),
inference(instantiation,[status(thm)],[c_1310]) ).
cnf(c_1771,plain,
( inverse(sk_c4) != sk_c7
| X0 != sk_c7
| inverse(sk_c4) = X0 ),
inference(instantiation,[status(thm)],[c_1310]) ).
cnf(c_1773,plain,
( inverse(sk_c2) != sk_c6
| X0 != sk_c6
| inverse(sk_c2) = X0 ),
inference(instantiation,[status(thm)],[c_1310]) ).
cnf(c_1844,plain,
( multiply(sk_c6,sk_c7) != X0
| X1 != X0
| X1 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1845,plain,
( multiply(sk_c6,sk_c7) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_1844]) ).
cnf(c_1889,plain,
( multiply(identity,multiply(identity,inverse(sk_c6))) != multiply(identity,inverse(sk_c6))
| sk_c5 != multiply(identity,inverse(sk_c6))
| sk_c5 = multiply(identity,multiply(identity,inverse(sk_c6))) ),
inference(instantiation,[status(thm)],[c_1319]) ).
cnf(c_1890,plain,
multiply(identity,multiply(identity,inverse(sk_c6))) = multiply(identity,inverse(sk_c6)),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1892,plain,
( multiply(identity,inverse(sk_c6)) != X0
| X1 != X0
| X1 = multiply(identity,inverse(sk_c6)) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1902,plain,
( multiply(sk_c3,sk_c6) = identity
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_70,c_1461]) ).
cnf(c_1903,plain,
( multiply(sk_c3,sk_c6) = identity
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_58,c_1461]) ).
cnf(c_1942,plain,
( inverse(X0) != sk_c5
| X1 != sk_c5
| inverse(X0) = X1 ),
inference(instantiation,[status(thm)],[c_1310]) ).
cnf(c_2008,plain,
( multiply(sk_c3,multiply(sk_c6,X0)) = X0
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_70,c_1466]) ).
cnf(c_2009,plain,
( multiply(sk_c3,multiply(sk_c6,X0)) = X0
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_58,c_1466]) ).
cnf(c_2010,plain,
( multiply(sk_c4,multiply(sk_c7,X0)) = X0
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_72,c_1466]) ).
cnf(c_2011,plain,
( multiply(sk_c4,multiply(sk_c7,X0)) = X0
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_1466]) ).
cnf(c_2059,plain,
( multiply(identity,multiply(identity,multiply(identity,sk_c5))) != multiply(identity,multiply(identity,sk_c5))
| sk_c5 != multiply(identity,multiply(identity,sk_c5))
| sk_c5 = multiply(identity,multiply(identity,multiply(identity,sk_c5))) ),
inference(instantiation,[status(thm)],[c_1421]) ).
cnf(c_2060,plain,
multiply(identity,multiply(identity,multiply(identity,sk_c5))) = multiply(identity,multiply(identity,sk_c5)),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_2064,plain,
( multiply(identity,multiply(identity,sk_c5)) != X0
| X1 != X0
| X1 = multiply(identity,multiply(identity,sk_c5)) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_2102,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_2160,plain,
( inverse(sk_c2) = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1902,c_69]) ).
cnf(c_2237,plain,
( inverse(sk_c1) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1903,c_57]) ).
cnf(c_2655,plain,
( multiply(sk_c2,sk_c5) = sk_c7
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_1684,c_1193]) ).
cnf(c_2814,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_70,c_1200]) ).
cnf(c_2837,plain,
( sk_c5 != sk_c5
| identity != X0
| multiply(identity,sk_c5) = multiply(X0,sk_c5) ),
inference(instantiation,[status(thm)],[c_1441]) ).
cnf(c_2838,plain,
( sk_c5 != sk_c5
| identity != sk_c6
| multiply(identity,sk_c5) = multiply(sk_c6,sk_c5) ),
inference(instantiation,[status(thm)],[c_2837]) ).
cnf(c_2879,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_2902,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_58,c_1201]) ).
cnf(c_2955,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_2960,plain,
( multiply(sk_c7,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_72,c_1205]) ).
cnf(c_2980,plain,
( inverse(sk_c3) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_1753]) ).
cnf(c_2981,plain,
( inverse(sk_c4) != sk_c7
| sk_c6 != sk_c7
| sk_c6 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_1753]) ).
cnf(c_3071,plain,
( inverse(sk_c6) != sk_c5
| identity != identity
| multiply(identity,inverse(sk_c6)) = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_1520]) ).
cnf(c_3263,plain,
( multiply(sk_c7,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_1206]) ).
cnf(c_3307,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_3505,plain,
( multiply(sk_c7,sk_c7) = sk_c6
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_56,c_1210]) ).
cnf(c_3595,plain,
( inverse(sk_c3) != sk_c6
| sk_c7 != sk_c6
| inverse(sk_c3) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1770]) ).
cnf(c_3615,plain,
( inverse(sk_c3) != X0
| X1 != X0
| inverse(sk_c3) = X1 ),
inference(instantiation,[status(thm)],[c_1310]) ).
cnf(c_3974,plain,
( multiply(sk_c6,sk_c5) != sk_c7
| inverse(sk_c4) != sk_c7
| inverse(sk_c4) = multiply(sk_c6,sk_c5) ),
inference(instantiation,[status(thm)],[c_1771]) ).
cnf(c_4146,plain,
( multiply(identity,inverse(sk_c6)) != sk_c5
| inverse(X0) != sk_c5
| inverse(X0) = multiply(identity,inverse(sk_c6)) ),
inference(instantiation,[status(thm)],[c_1942]) ).
cnf(c_4315,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3307,c_80]) ).
cnf(c_4346,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_4315]) ).
cnf(c_4347,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_4315]) ).
cnf(c_4355,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4315,c_4315]) ).
cnf(c_4468,plain,
( ~ sP0_iProver_split
| inverse(sk_c2) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_742,c_749,c_1495,c_2160]) ).
cnf(c_4474,plain,
( ~ sP0_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_743,c_749,c_1495,c_2237]) ).
cnf(c_4556,plain,
( multiply(sk_c6,sk_c7) != multiply(identity,multiply(identity,inverse(sk_c6)))
| sk_c5 != multiply(identity,multiply(identity,inverse(sk_c6)))
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(instantiation,[status(thm)],[c_874]) ).
cnf(c_4679,plain,
( multiply(sk_c6,sk_c7) != multiply(identity,multiply(identity,multiply(identity,sk_c5)))
| sk_c5 != multiply(identity,multiply(identity,multiply(identity,sk_c5)))
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(instantiation,[status(thm)],[c_874]) ).
cnf(c_4711,plain,
( sk_c6 != sk_c5
| sk_c6 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_796,c_1432]) ).
cnf(c_4749,plain,
( ~ sP2_iProver_split
| inverse(sk_c2) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_840,c_72,c_840]) ).
cnf(c_4755,plain,
( ~ sP2_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_841,c_60,c_841]) ).
cnf(c_4966,plain,
( sk_c6 != sk_c7
| sk_c7 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_891,c_1432]) ).
cnf(c_5203,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_5211,plain,
( multiply(identity,inverse(sk_c6)) != X0
| X1 != X0
| multiply(identity,inverse(sk_c6)) = X1 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_5216,plain,
( multiply(identity,inverse(sk_c6)) != inverse(sk_c6)
| X0 != inverse(sk_c6)
| X0 = multiply(identity,inverse(sk_c6)) ),
inference(instantiation,[status(thm)],[c_1892]) ).
cnf(c_5312,plain,
( multiply(identity,multiply(identity,sk_c5)) != sk_c5
| X0 != sk_c5
| X0 = multiply(identity,multiply(identity,sk_c5)) ),
inference(instantiation,[status(thm)],[c_2064]) ).
cnf(c_5416,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_70,c_1199]) ).
cnf(c_5417,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_58,c_1199]) ).
cnf(c_5525,plain,
( inverse(sk_c4) != sk_c7
| X0 != sk_c7
| X0 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_2102]) ).
cnf(c_5538,plain,
( inverse(X0) != multiply(identity,sk_c5)
| X1 != multiply(identity,sk_c5)
| X1 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_2102]) ).
cnf(c_5549,plain,
( inverse(inverse(sk_c4)) != sk_c6
| sk_c6 != sk_c7
| ~ sP1_iProver_split
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_1204,c_380]) ).
cnf(c_5968,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_4347,c_4355]) ).
cnf(c_5976,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_5968,c_4346]) ).
cnf(c_6120,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_2879]) ).
cnf(c_6121,plain,
( sk_c6 != identity
| identity != identity
| identity = sk_c6 ),
inference(instantiation,[status(thm)],[c_6120]) ).
cnf(c_6132,plain,
( inverse(X0) != inverse(sk_c3)
| sk_c6 != inverse(sk_c3)
| inverse(X0) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1311]) ).
cnf(c_6370,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_1461,c_1217]) ).
cnf(c_6392,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_6370,c_1424]) ).
cnf(c_7180,plain,
( inverse(sk_c4) != multiply(sk_c6,sk_c5)
| X0 != multiply(sk_c6,sk_c5)
| inverse(sk_c4) = X0 ),
inference(instantiation,[status(thm)],[c_1310]) ).
cnf(c_7588,plain,
( inverse(sk_c3) != X0
| sk_c7 != X0
| inverse(sk_c3) = sk_c7 ),
inference(instantiation,[status(thm)],[c_3615]) ).
cnf(c_7591,plain,
( inverse(sk_c3) != sk_c7
| inverse(sk_c4) != sk_c7
| inverse(sk_c4) = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_1771]) ).
cnf(c_7639,plain,
( inverse(sk_c3) != X0
| sk_c5 != X0
| inverse(sk_c3) = sk_c5 ),
inference(instantiation,[status(thm)],[c_3615]) ).
cnf(c_7756,plain,
( sk_c6 != identity
| sk_c7 != multiply(identity,inverse(sk_c6))
| multiply(sk_c6,sk_c7) = multiply(identity,multiply(identity,inverse(sk_c6))) ),
inference(instantiation,[status(thm)],[c_386]) ).
cnf(c_7768,plain,
( sk_c6 != identity
| sk_c7 != multiply(identity,multiply(identity,sk_c5))
| multiply(sk_c6,sk_c7) = multiply(identity,multiply(identity,multiply(identity,sk_c5))) ),
inference(instantiation,[status(thm)],[c_386]) ).
cnf(c_7916,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_1184,c_6392]) ).
cnf(c_8534,plain,
( multiply(sk_c6,sk_c7) != sk_c6
| inverse(sk_c3) != sk_c6
| inverse(sk_c3) = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_1770]) ).
cnf(c_8610,plain,
( inverse(sk_c6) = sk_c5
| sk_c6 = sk_c7 ),
inference(superposition,[status(thm)],[c_2655,c_74]) ).
cnf(c_8670,plain,
( multiply(sk_c6,sk_c5) = identity
| sk_c6 = sk_c7 ),
inference(superposition,[status(thm)],[c_8610,c_1461]) ).
cnf(c_8673,plain,
( multiply(sk_c5,sk_c6) = identity
| sk_c6 = sk_c7 ),
inference(superposition,[status(thm)],[c_8610,c_81]) ).
cnf(c_9265,plain,
( inverse(sk_c5) != sk_c7
| sk_c7 != identity
| ~ sP3_iProver_split
| sk_c6 = sk_c7 ),
inference(superposition,[status(thm)],[c_8673,c_382]) ).
cnf(c_9771,plain,
( multiply(sk_c7,X0) = X0
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_989,c_2008]) ).
cnf(c_10152,plain,
( ~ sP0_iProver_split
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_740,c_64,c_740]) ).
cnf(c_10202,plain,
( multiply(sk_c7,X0) = X0
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_990,c_2009]) ).
cnf(c_10942,plain,
( multiply(identity,inverse(sk_c6)) != sk_c5
| inverse(sk_c3) != sk_c5
| inverse(sk_c3) = multiply(identity,inverse(sk_c6)) ),
inference(instantiation,[status(thm)],[c_4146]) ).
cnf(c_11187,plain,
( ~ sP2_iProver_split
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_838,c_66,c_838]) ).
cnf(c_12479,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_2955]) ).
cnf(c_12480,plain,
( sk_c6 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_12479]) ).
cnf(c_13266,plain,
( X0 != inverse(sk_c4)
| sk_c5 != inverse(sk_c4)
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_1330]) ).
cnf(c_13269,plain,
( sk_c6 != inverse(sk_c4)
| sk_c5 != inverse(sk_c4)
| sk_c6 = sk_c5 ),
inference(instantiation,[status(thm)],[c_13266]) ).
cnf(c_13272,plain,
( inverse(sk_c4) != sk_c7
| identity != sk_c7
| identity = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_5525]) ).
cnf(c_14133,plain,
( multiply(sk_c5,X0) = X0
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_994,c_2010]) ).
cnf(c_15175,plain,
( multiply(sk_c5,X0) = X0
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_995,c_2011]) ).
cnf(c_15728,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c5)
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_50,c_999]) ).
cnf(c_15818,plain,
( multiply(multiply(sk_c7,sk_c7),X0) = multiply(sk_c1,multiply(sk_c5,X0))
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_15728,c_82]) ).
cnf(c_16683,plain,
( multiply(identity,inverse(sk_c6)) != multiply(identity,sk_c5)
| inverse(X0) != multiply(identity,sk_c5)
| multiply(identity,inverse(sk_c6)) = inverse(X0) ),
inference(instantiation,[status(thm)],[c_5538]) ).
cnf(c_16737,plain,
( multiply(sk_c7,sk_c4) = identity
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_81]) ).
cnf(c_16916,plain,
( inverse(sk_c1) != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_64,c_379]) ).
cnf(c_17015,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c5 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_381]) ).
cnf(c_17072,plain,
( multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_57,c_82]) ).
cnf(c_17087,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_17190,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_17087,c_80]) ).
cnf(c_17223,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_17190]) ).
cnf(c_17227,plain,
( multiply(inverse(sk_c7),identity) = sk_c4
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_16737,c_17190]) ).
cnf(c_17233,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_17190,c_17190]) ).
cnf(c_17299,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_17223,c_17233]) ).
cnf(c_17324,plain,
( inverse(identity) != sk_c7
| sk_c6 != sk_c7
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_382]) ).
cnf(c_17327,plain,
( sk_c6 != sk_c7
| sk_c7 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_17324,c_5976]) ).
cnf(c_17862,plain,
( inverse(sk_c7) = sk_c4
| inverse(sk_c1) = sk_c7 ),
inference(demodulation,[status(thm)],[c_17227,c_17299]) ).
cnf(c_17871,plain,
( multiply(sk_c7,sk_c1) = identity
| inverse(sk_c7) = sk_c4 ),
inference(superposition,[status(thm)],[c_17862,c_81]) ).
cnf(c_18098,plain,
( multiply(inverse(sk_c7),identity) = sk_c1
| inverse(sk_c7) = sk_c4 ),
inference(superposition,[status(thm)],[c_17871,c_17190]) ).
cnf(c_19955,plain,
( multiply(sk_c4,X0) = X0
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_9771,c_1024]) ).
cnf(c_19962,plain,
( inverse(sk_c2) = sk_c6
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_9771,c_2960]) ).
cnf(c_20618,plain,
( multiply(sk_c4,X0) = X0
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_10202,c_1027]) ).
cnf(c_20625,plain,
( inverse(sk_c1) = sk_c7
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_10202,c_3263]) ).
cnf(c_22394,plain,
( inverse(sk_c2) != X0
| X1 != X0
| X1 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_2102]) ).
cnf(c_22404,plain,
( inverse(sk_c2) != sk_c6
| identity != sk_c6
| inverse(sk_c2) = identity ),
inference(instantiation,[status(thm)],[c_1773]) ).
cnf(c_22405,plain,
( inverse(sk_c2) != identity
| identity != identity
| identity = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_6120]) ).
cnf(c_23026,plain,
( multiply(sk_c1,sk_c6) != sk_c7
| inverse(sk_c1) != sk_c6
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_379]) ).
cnf(c_24180,plain,
( inverse(sk_c3) != multiply(identity,inverse(X0))
| sk_c7 != multiply(identity,inverse(X0))
| inverse(sk_c3) = sk_c7 ),
inference(instantiation,[status(thm)],[c_7588]) ).
cnf(c_24182,plain,
( inverse(sk_c3) != multiply(identity,inverse(sk_c6))
| sk_c7 != multiply(identity,inverse(sk_c6))
| inverse(sk_c3) = sk_c7 ),
inference(instantiation,[status(thm)],[c_24180]) ).
cnf(c_25197,plain,
( inverse(sk_c4) != sk_c7
| sk_c5 != sk_c7
| sk_c5 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_5525]) ).
cnf(c_25312,plain,
( inverse(sk_c4) != inverse(sk_c3)
| sk_c6 != inverse(sk_c3)
| inverse(sk_c4) = sk_c6 ),
inference(instantiation,[status(thm)],[c_6132]) ).
cnf(c_25417,plain,
( inverse(sk_c3) != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| inverse(sk_c3) = sk_c5 ),
inference(instantiation,[status(thm)],[c_7639]) ).
cnf(c_25581,plain,
( inverse(sk_c2) = sk_c6
| sk_c6 = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_14133,c_8673]) ).
cnf(c_26104,plain,
( inverse(sk_c1) = sk_c7
| sk_c6 = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_15175,c_8673]) ).
cnf(c_26483,plain,
( multiply(identity,multiply(identity,sk_c5)) != sk_c5
| sk_c7 != sk_c5
| sk_c7 = multiply(identity,multiply(identity,sk_c5)) ),
inference(instantiation,[status(thm)],[c_5312]) ).
cnf(c_26491,plain,
( inverse(sk_c6) != sk_c5
| sk_c7 != sk_c5
| sk_c7 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_1344]) ).
cnf(c_26492,plain,
( sk_c7 != sk_c5
| sk_c5 != sk_c5
| sk_c5 = sk_c7 ),
inference(instantiation,[status(thm)],[c_928]) ).
cnf(c_26497,plain,
( multiply(identity,inverse(sk_c6)) != inverse(sk_c6)
| sk_c7 != inverse(sk_c6)
| sk_c7 = multiply(identity,inverse(sk_c6)) ),
inference(instantiation,[status(thm)],[c_5216]) ).
cnf(c_26523,plain,
( sk_c7 != identity
| identity != identity
| identity = sk_c7 ),
inference(instantiation,[status(thm)],[c_6120]) ).
cnf(c_26532,plain,
( multiply(identity,inverse(sk_c6)) != X0
| sk_c7 != X0
| sk_c7 = multiply(identity,inverse(sk_c6)) ),
inference(instantiation,[status(thm)],[c_2955]) ).
cnf(c_26535,plain,
( multiply(identity,inverse(sk_c6)) != sk_c6
| sk_c7 != sk_c6
| sk_c7 = multiply(identity,inverse(sk_c6)) ),
inference(instantiation,[status(thm)],[c_26532]) ).
cnf(c_26744,plain,
( inverse(sk_c4) != sk_c6
| sk_c6 != sk_c5
| ~ sP1_iProver_split
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_19955,c_380]) ).
cnf(c_27057,plain,
( inverse(sk_c4) != sk_c6
| sk_c6 != sk_c5
| ~ sP1_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_20618,c_380]) ).
cnf(c_27171,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_5416,c_54,c_875,c_930,c_929,c_936,c_937,c_1174,c_1175,c_1333,c_2059,c_2060,c_2814,c_2981,c_4679,c_7768,c_13269,c_19962,c_25197,c_25581,c_26492,c_26483]) ).
cnf(c_27173,plain,
inverse(sk_c2) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_27171,c_72,c_70,c_68,c_67,c_390,c_383,c_885,c_929,c_934,c_1148,c_1154,c_1316,c_1322,c_1845,c_2814,c_2980,c_4468,c_4749,c_7591,c_8534,c_10942,c_19962,c_24182,c_25312,c_25417,c_26491,c_26497,c_26744,c_27171]) ).
cnf(c_27206,plain,
( multiply(sk_c6,sk_c6) = sk_c5
| multiply(sk_c6,sk_c5) = sk_c7 ),
inference(demodulation,[status(thm)],[c_1211,c_27173]) ).
cnf(c_27239,plain,
multiply(sk_c2,multiply(sk_c6,X0)) = X0,
inference(superposition,[status(thm)],[c_27173,c_1466]) ).
cnf(c_27240,plain,
multiply(sk_c2,sk_c6) = identity,
inference(superposition,[status(thm)],[c_27173,c_1461]) ).
cnf(c_27241,plain,
inverse(sk_c6) = sk_c2,
inference(superposition,[status(thm)],[c_27173,c_1468]) ).
cnf(c_27243,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm)],[c_27173,c_81]) ).
cnf(c_27294,plain,
( multiply(sk_c7,sk_c7) = sk_c6
| sk_c5 = sk_c2 ),
inference(demodulation,[status(thm)],[c_3505,c_27241]) ).
cnf(c_27300,plain,
( multiply(sk_c2,sk_c5) = sk_c7
| sk_c5 = sk_c2 ),
inference(demodulation,[status(thm)],[c_1193,c_27241]) ).
cnf(c_27303,plain,
( multiply(sk_c2,sk_c5) = sk_c7
| inverse(sk_c3) = sk_c6 ),
inference(demodulation,[status(thm)],[c_1192,c_27241]) ).
cnf(c_27304,plain,
( multiply(sk_c2,sk_c5) = sk_c7
| inverse(sk_c4) = sk_c7 ),
inference(demodulation,[status(thm)],[c_1191,c_27241]) ).
cnf(c_27308,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != sk_c2
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_383,c_27241]) ).
cnf(c_27310,plain,
( multiply(sk_c2,sk_c5) = sk_c6
| sk_c5 = sk_c2 ),
inference(demodulation,[status(thm)],[c_74,c_27241]) ).
cnf(c_27311,plain,
( multiply(sk_c1,sk_c6) = sk_c7
| sk_c5 = sk_c2 ),
inference(demodulation,[status(thm)],[c_62,c_27241]) ).
cnf(c_27650,plain,
( multiply(inverse(sk_c5),inverse(sk_c2)) = inverse(sk_c6)
| sk_c5 = sk_c2 ),
inference(superposition,[status(thm)],[c_27310,c_7916]) ).
cnf(c_27652,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c2
| sk_c5 = sk_c2 ),
inference(light_normalisation,[status(thm)],[c_27650,c_27173,c_27241]) ).
cnf(c_27699,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_5417,c_54,c_875,c_930,c_929,c_936,c_937,c_1174,c_1175,c_1333,c_2059,c_2060,c_2902,c_2981,c_4679,c_7768,c_13269,c_20625,c_25197,c_26104,c_26492,c_26483]) ).
cnf(c_27701,plain,
inverse(sk_c1) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_27699,c_60,c_58,c_56,c_55,c_390,c_383,c_886,c_929,c_934,c_1148,c_1154,c_1316,c_1322,c_1845,c_2902,c_2980,c_4474,c_4755,c_7591,c_8534,c_10942,c_20625,c_24182,c_25312,c_25417,c_26491,c_26497,c_27057,c_27699]) ).
cnf(c_27739,plain,
( sk_c6 != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c6 ),
inference(demodulation,[status(thm)],[c_746,c_27701]) ).
cnf(c_27781,plain,
inverse(sk_c7) = sk_c1,
inference(superposition,[status(thm)],[c_27701,c_1468]) ).
cnf(c_27782,plain,
multiply(sk_c7,multiply(sk_c1,X0)) = X0,
inference(superposition,[status(thm)],[c_27701,c_1184]) ).
cnf(c_28552,plain,
( ~ sP0_iProver_split
| sk_c6 != sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_27739,c_60,c_58,c_56,c_55,c_390,c_383,c_886,c_929,c_934,c_1148,c_1154,c_1305,c_1316,c_1322,c_1845,c_2902,c_2980,c_4474,c_4755,c_7591,c_8534,c_10152,c_10942,c_20625,c_23026,c_24182,c_25312,c_25417,c_26491,c_26497,c_27057,c_27699]) ).
cnf(c_28553,plain,
( sk_c6 != sk_c7
| ~ sP0_iProver_split ),
inference(renaming,[status(thm)],[c_28552]) ).
cnf(c_29031,plain,
( ~ sP3_iProver_split
| sk_c7 != identity
| inverse(sk_c5) != sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_9265,c_9265,c_17327]) ).
cnf(c_29032,plain,
( inverse(sk_c5) != sk_c7
| sk_c7 != identity
| ~ sP3_iProver_split ),
inference(renaming,[status(thm)],[c_29031]) ).
cnf(c_29540,plain,
( multiply(inverse(sk_c5),inverse(sk_c2)) = inverse(sk_c7)
| sk_c5 = sk_c2 ),
inference(superposition,[status(thm)],[c_27300,c_7916]) ).
cnf(c_29542,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c1
| sk_c5 = sk_c2 ),
inference(light_normalisation,[status(thm)],[c_29540,c_27173,c_27781]) ).
cnf(c_30399,plain,
( inverse(sk_c3) = sk_c6
| sk_c6 = sk_c7 ),
inference(superposition,[status(thm)],[c_27303,c_76]) ).
cnf(c_31015,plain,
( inverse(sk_c4) = sk_c7
| sk_c6 = sk_c7 ),
inference(superposition,[status(thm)],[c_27304,c_78]) ).
cnf(c_31196,plain,
( multiply(identity,sk_c5) != multiply(sk_c6,sk_c5)
| inverse(sk_c4) != multiply(sk_c6,sk_c5)
| inverse(sk_c4) = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_7180]) ).
cnf(c_31632,plain,
( inverse(sk_c7) = sk_c4
| inverse(sk_c7) = sk_c1 ),
inference(demodulation,[status(thm)],[c_18098,c_17299]) ).
cnf(c_31642,plain,
( multiply(sk_c4,sk_c7) = identity
| inverse(sk_c7) = sk_c1 ),
inference(superposition,[status(thm)],[c_31632,c_81]) ).
cnf(c_31678,plain,
inverse(sk_c7) = sk_c1,
inference(global_subsumption_just,[status(thm)],[c_31642,c_27781]) ).
cnf(c_31681,plain,
( inverse(sk_c1) != sk_c7
| sk_c5 != identity
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_17015,c_31678]) ).
cnf(c_31955,plain,
inverse(sk_c1) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_17072,c_60,c_58,c_56,c_55,c_390,c_383,c_886,c_929,c_934,c_1148,c_1154,c_1316,c_1322,c_1845,c_2902,c_2980,c_4474,c_4755,c_7591,c_8534,c_10942,c_20625,c_24182,c_25312,c_25417,c_26491,c_26497,c_27057,c_27699]) ).
cnf(c_31964,plain,
( sk_c6 != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c6 ),
inference(demodulation,[status(thm)],[c_16916,c_31955]) ).
cnf(c_32844,plain,
( multiply(identity,inverse(sk_c6)) != inverse(sk_c4)
| X0 != inverse(sk_c4)
| multiply(identity,inverse(sk_c6)) = X0 ),
inference(instantiation,[status(thm)],[c_5211]) ).
cnf(c_32846,plain,
( multiply(identity,inverse(sk_c6)) != inverse(sk_c4)
| sk_c6 != inverse(sk_c4)
| multiply(identity,inverse(sk_c6)) = sk_c6 ),
inference(instantiation,[status(thm)],[c_32844]) ).
cnf(c_33108,plain,
( X0 != inverse(sk_c4)
| identity != inverse(sk_c4)
| identity = X0 ),
inference(instantiation,[status(thm)],[c_2879]) ).
cnf(c_33109,plain,
( X0 != inverse(sk_c4)
| identity != inverse(sk_c4)
| X0 = identity ),
inference(instantiation,[status(thm)],[c_1523]) ).
cnf(c_33110,plain,
( sk_c6 != inverse(sk_c4)
| identity != inverse(sk_c4)
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_33109]) ).
cnf(c_33111,plain,
( sk_c6 != inverse(sk_c4)
| identity != inverse(sk_c4)
| identity = sk_c6 ),
inference(instantiation,[status(thm)],[c_33108]) ).
cnf(c_35082,plain,
( sk_c5 = sk_c2
| sk_c1 = sk_c2 ),
inference(superposition,[status(thm)],[c_29542,c_27652]) ).
cnf(c_35145,plain,
( multiply(sk_c1,sk_c5) = sk_c7
| sk_c5 = sk_c2 ),
inference(superposition,[status(thm)],[c_35082,c_27300]) ).
cnf(c_35151,plain,
( multiply(sk_c1,sk_c6) = identity
| sk_c5 = sk_c2 ),
inference(superposition,[status(thm)],[c_35082,c_27240]) ).
cnf(c_35451,plain,
( multiply(identity,inverse(sk_c6)) != multiply(identity,sk_c5)
| inverse(sk_c4) != multiply(identity,sk_c5)
| multiply(identity,inverse(sk_c6)) = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_16683]) ).
cnf(c_35747,plain,
( ~ sP0_iProver_split
| inverse(sk_c3) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_31964,c_28553,c_30399]) ).
cnf(c_35811,plain,
( sk_c5 != identity
| ~ sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_31681,c_60,c_58,c_56,c_55,c_390,c_383,c_886,c_929,c_934,c_1148,c_1154,c_1316,c_1322,c_1845,c_2902,c_2980,c_4474,c_4755,c_7591,c_8534,c_10942,c_20625,c_24182,c_25312,c_25417,c_26491,c_26497,c_27057,c_27699,c_31681]) ).
cnf(c_36179,plain,
( multiply(sk_c7,sk_c7) = sk_c5
| sk_c5 = sk_c2 ),
inference(superposition,[status(thm)],[c_35145,c_27782]) ).
cnf(c_36319,plain,
( sk_c7 = identity
| sk_c5 = sk_c2 ),
inference(superposition,[status(thm)],[c_35151,c_27311]) ).
cnf(c_36779,plain,
( multiply(sk_c5,sk_c6) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_36319,c_27240]) ).
cnf(c_36780,plain,
( multiply(sk_c6,sk_c5) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_36319,c_27243]) ).
cnf(c_38010,plain,
( sk_c6 = sk_c5
| sk_c5 = sk_c2 ),
inference(superposition,[status(thm)],[c_36179,c_27294]) ).
cnf(c_38062,plain,
( inverse(sk_c5) = sk_c6
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_38010,c_27173]) ).
cnf(c_39978,plain,
( multiply(sk_c6,sk_c6) = sk_c5
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_36780,c_27206]) ).
cnf(c_39979,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_36780,c_49]) ).
cnf(c_40226,plain,
( multiply(sk_c2,sk_c5) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_39979,c_27239]) ).
cnf(c_40301,plain,
( sk_c6 != sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_5549,c_54,c_50,c_49,c_929,c_934,c_1153,c_1154,c_1521,c_1889,c_1890,c_2838,c_2981,c_3071,c_3974,c_4556,c_5203,c_7756,c_12480,c_13272,c_26523,c_26535,c_31196,c_32846,c_33110,c_33111,c_35451,c_39979]) ).
cnf(c_42235,plain,
( multiply(sk_c2,sk_c5) = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_39978,c_27239]) ).
cnf(c_42331,plain,
( multiply(sk_c6,sk_c5) = sk_c7
| sk_c6 = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_40226,c_73]) ).
cnf(c_42406,plain,
( sk_c6 = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_42331,c_8670]) ).
cnf(c_42541,plain,
( sP2_iProver_split
| inverse(sk_c3) = sk_c6
| inverse(sk_c6) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_957,c_52,c_383,c_794,c_889,c_27173,c_27701,c_35747]) ).
cnf(c_42542,plain,
( multiply(sk_c6,sk_c5) != sk_c7
| inverse(sk_c6) != sk_c5
| inverse(sk_c3) = sk_c6
| sP2_iProver_split ),
inference(renaming,[status(thm)],[c_42541]) ).
cnf(c_42543,plain,
( multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != sk_c2
| inverse(sk_c3) = sk_c6
| sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_42542,c_27241]) ).
cnf(c_42807,plain,
( sk_c5 != sk_c2
| multiply(sk_c6,sk_c5) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_27308,c_749,c_1495,c_27308,c_28553,c_42406]) ).
cnf(c_42808,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != sk_c2
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(renaming,[status(thm)],[c_42807]) ).
cnf(c_43201,plain,
( ~ sP0_iProver_split
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_42406,c_28553]) ).
cnf(c_43208,plain,
( inverse(sk_c6) = sk_c1
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_42406,c_27781]) ).
cnf(c_43234,plain,
( multiply(sk_c4,sk_c6) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_42406,c_65]) ).
cnf(c_43240,plain,
( sk_c7 = identity
| sk_c1 = sk_c2 ),
inference(light_normalisation,[status(thm)],[c_43208,c_27241]) ).
cnf(c_43596,plain,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_43201,c_749,c_1495,c_43201]) ).
cnf(c_43618,plain,
( sk_c7 = identity
| sk_c5 = sk_c1 ),
inference(superposition,[status(thm)],[c_43240,c_36319]) ).
cnf(c_44264,plain,
( multiply(sk_c1,sk_c6) = sk_c7
| sk_c7 = identity ),
inference(global_subsumption_just,[status(thm)],[c_43234,c_72,c_70,c_68,c_67,c_64,c_61,c_390,c_383,c_885,c_883,c_929,c_934,c_1148,c_1154,c_1300,c_1316,c_1322,c_1845,c_2814,c_2980,c_3595,c_4468,c_4749,c_5203,c_7591,c_8534,c_10942,c_11187,c_12480,c_19962,c_24182,c_25312,c_25417,c_26491,c_26497,c_26744,c_27171,c_27311,c_27308,c_39979,c_42235,c_42406,c_43596]) ).
cnf(c_44271,plain,
( multiply(sk_c5,sk_c6) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_43618,c_44264]) ).
cnf(c_44273,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_44264,c_382]) ).
cnf(c_44291,plain,
( ~ sP3_iProver_split
| sk_c7 = identity ),
inference(forward_subsumption_resolution,[status(thm)],[c_44273,c_27701]) ).
cnf(c_44730,plain,
( sk_c5 != inverse(sk_c2)
| identity != inverse(sk_c2)
| sk_c5 = identity ),
inference(instantiation,[status(thm)],[c_1331]) ).
cnf(c_44797,plain,
( sk_c6 != sk_c7
| ~ sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_4966,c_44291]) ).
cnf(c_44798,plain,
( inverse(sk_c5) != sk_c7
| ~ sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_29032,c_44291]) ).
cnf(c_45149,plain,
( inverse(sk_c2) != X0
| sk_c5 != X0
| sk_c5 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_22394]) ).
cnf(c_45152,plain,
( inverse(sk_c2) != sk_c6
| sk_c5 != sk_c6
| sk_c5 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_45149]) ).
cnf(c_45293,plain,
sk_c7 = identity,
inference(superposition,[status(thm)],[c_44271,c_36779]) ).
cnf(c_45301,plain,
( inverse(sk_c5) != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_44798,c_45293]) ).
cnf(c_45302,plain,
( sk_c6 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_44797,c_45293]) ).
cnf(c_45303,plain,
( multiply(sk_c6,sk_c5) != identity
| multiply(sk_c6,identity) != sk_c5
| sk_c5 != sk_c2
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_42808,c_45293]) ).
cnf(c_45304,plain,
( multiply(sk_c6,sk_c5) != identity
| sk_c5 != sk_c2
| inverse(sk_c3) = sk_c6
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_42543,c_45293]) ).
cnf(c_45311,plain,
( sk_c6 != identity
| multiply(sk_c6,identity) = sk_c5 ),
inference(demodulation,[status(thm)],[c_40301,c_45293]) ).
cnf(c_45346,plain,
( inverse(sk_c4) = identity
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_31015,c_45293]) ).
cnf(c_45387,plain,
inverse(identity) = sk_c1,
inference(demodulation,[status(thm)],[c_27781,c_45293]) ).
cnf(c_45447,plain,
( multiply(sk_c4,identity) = sk_c5
| multiply(sk_c1,sk_c6) = identity ),
inference(demodulation,[status(thm)],[c_65,c_45293]) ).
cnf(c_45450,plain,
( multiply(sk_c6,identity) = sk_c5
| multiply(sk_c4,identity) = sk_c5 ),
inference(demodulation,[status(thm)],[c_53,c_45293]) ).
cnf(c_45455,plain,
( multiply(sk_c6,identity) = sk_c5
| inverse(sk_c4) = identity ),
inference(demodulation,[status(thm)],[c_54,c_45293]) ).
cnf(c_45604,plain,
sk_c1 = identity,
inference(light_normalisation,[status(thm)],[c_45387,c_1432]) ).
cnf(c_45615,plain,
( sk_c5 = sk_c2
| sk_c2 = identity ),
inference(demodulation,[status(thm)],[c_35082,c_45604]) ).
cnf(c_46027,plain,
( inverse(sk_c4) = identity
| sk_c6 = sk_c5 ),
inference(demodulation,[status(thm)],[c_45455,c_1424]) ).
cnf(c_46035,plain,
( inverse(identity) = sk_c4
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_46027,c_1468]) ).
cnf(c_46039,plain,
( sk_c6 = sk_c5
| sk_c4 = identity ),
inference(light_normalisation,[status(thm)],[c_46035,c_1432]) ).
cnf(c_46353,plain,
( multiply(sk_c4,identity) = sk_c5
| multiply(identity,sk_c6) = identity ),
inference(light_normalisation,[status(thm)],[c_45447,c_45604]) ).
cnf(c_46354,plain,
( sk_c6 = identity
| sk_c5 = sk_c4 ),
inference(demodulation,[status(thm)],[c_46353,c_80,c_1424]) ).
cnf(c_46369,plain,
( sk_c6 = sk_c5
| sk_c5 = sk_c4 ),
inference(demodulation,[status(thm)],[c_45450,c_1424]) ).
cnf(c_46902,plain,
( inverse(sk_c5) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_46354,c_45346]) ).
cnf(c_46906,plain,
( inverse(identity) = sk_c4
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_45346,c_1468]) ).
cnf(c_46910,plain,
( sk_c6 = identity
| sk_c4 = identity ),
inference(light_normalisation,[status(thm)],[c_46906,c_1432]) ).
cnf(c_47086,plain,
( multiply(multiply(identity,identity),X0) = multiply(identity,multiply(sk_c5,X0))
| sk_c5 = sk_c2 ),
inference(light_normalisation,[status(thm)],[c_15818,c_27241,c_45293,c_45604]) ).
cnf(c_47087,plain,
( multiply(sk_c5,X0) = X0
| sk_c5 = sk_c2 ),
inference(demodulation,[status(thm)],[c_47086,c_80,c_1401,c_1463]) ).
cnf(c_47108,plain,
( sk_c5 = sk_c2
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_47087,c_1424]) ).
cnf(c_47169,plain,
~ sP3_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_45301,c_45302,c_45301,c_46902]) ).
cnf(c_47519,plain,
( sk_c6 = sk_c5
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_46039,c_46369]) ).
cnf(c_47653,plain,
( sk_c6 = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_46910,c_46354]) ).
cnf(c_47934,plain,
( sk_c6 != identity
| sk_c6 = sk_c5 ),
inference(demodulation,[status(thm)],[c_45311,c_1424]) ).
cnf(c_47939,plain,
( sk_c6 != identity
| ~ sP1_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_4711,c_47934]) ).
cnf(c_48395,plain,
sk_c5 = identity,
inference(global_subsumption_just,[status(thm)],[c_47108,c_72,c_70,c_68,c_67,c_390,c_383,c_885,c_930,c_929,c_934,c_1148,c_1154,c_1316,c_1322,c_1521,c_1845,c_2814,c_2980,c_4468,c_4749,c_6121,c_7591,c_8534,c_10942,c_19962,c_22404,c_22405,c_24182,c_25312,c_25417,c_26491,c_26497,c_26744,c_27171,c_44730,c_45152,c_47519,c_47653]) ).
cnf(c_48403,plain,
sk_c2 = identity,
inference(demodulation,[status(thm)],[c_45615,c_48395]) ).
cnf(c_48431,plain,
( inverse(identity) = sk_c6
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_38062,c_48395]) ).
cnf(c_48457,plain,
sk_c6 = identity,
inference(light_normalisation,[status(thm)],[c_48431,c_1432]) ).
cnf(c_48507,plain,
~ sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_47939,c_48457]) ).
cnf(c_53953,plain,
( multiply(sk_c6,sk_c5) != identity
| sk_c5 != sk_c2 ),
inference(global_subsumption_just,[status(thm)],[c_45304,c_35811,c_45311,c_45303,c_47169,c_48395,c_48507,c_48457]) ).
cnf(c_53955,plain,
( multiply(identity,identity) != identity
| identity != identity ),
inference(light_normalisation,[status(thm)],[c_53953,c_48395,c_48403,c_48457]) ).
cnf(c_53956,plain,
multiply(identity,identity) != identity,
inference(equality_resolution_simp,[status(thm)],[c_53955]) ).
cnf(c_53957,plain,
identity != identity,
inference(demodulation,[status(thm)],[c_53956,c_80]) ).
cnf(c_53958,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_53957]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP347-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 20:43:10 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.11/2.14 % SZS status Started for theBenchmark.p
% 10.11/2.14 % SZS status Unsatisfiable for theBenchmark.p
% 10.11/2.14
% 10.11/2.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 10.11/2.14
% 10.11/2.14 ------ iProver source info
% 10.11/2.14
% 10.11/2.14 git: date: 2023-05-31 18:12:56 +0000
% 10.11/2.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 10.11/2.14 git: non_committed_changes: false
% 10.11/2.14 git: last_make_outside_of_git: false
% 10.11/2.14
% 10.11/2.14 ------ Parsing...successful
% 10.11/2.14
% 10.11/2.14
% 10.11/2.14
% 10.11/2.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 10.11/2.14
% 10.11/2.14 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.11/2.14
% 10.11/2.14 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.11/2.14 ------ Proving...
% 10.11/2.14 ------ Problem Properties
% 10.11/2.14
% 10.11/2.14
% 10.11/2.14 clauses 38
% 10.11/2.14 conjectures 35
% 10.11/2.14 EPR 0
% 10.11/2.14 Horn 7
% 10.11/2.14 unary 3
% 10.11/2.14 binary 30
% 10.11/2.14 lits 82
% 10.11/2.14 lits eq 74
% 10.11/2.14 fd_pure 0
% 10.11/2.14 fd_pseudo 0
% 10.11/2.14 fd_cond 0
% 10.11/2.14 fd_pseudo_cond 0
% 10.11/2.14 AC symbols 0
% 10.11/2.14
% 10.11/2.14 ------ Schedule dynamic 5 is on
% 10.11/2.14
% 10.11/2.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.11/2.14
% 10.11/2.14
% 10.11/2.14 ------
% 10.11/2.14 Current options:
% 10.11/2.14 ------
% 10.11/2.14
% 10.11/2.14
% 10.11/2.14
% 10.11/2.14
% 10.11/2.14 ------ Proving...
% 10.11/2.14
% 10.11/2.14
% 10.11/2.14 % SZS status Unsatisfiable for theBenchmark.p
% 10.11/2.14
% 10.11/2.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.11/2.14
% 10.11/2.14
%------------------------------------------------------------------------------