TSTP Solution File: GRP320-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP320-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 00:59:18 EDT 2023
% Result : Unsatisfiable 4.07s 1.15s
% Output : CNFRefutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 37
% Syntax : Number of clauses : 286 ( 37 unt; 131 nHn; 265 RR)
% Number of literals : 714 ( 648 equ; 278 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 112 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| multiply(X1,sk_c8) != X2
| multiply(X3,sk_c8) != sk_c7
| multiply(X4,sk_c7) != sk_c6
| multiply(sk_c8,X2) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| multiply(sk_c6,sk_c8) != sk_c7
| inverse(X0) != sk_c7
| inverse(X1) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c7 ),
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_83,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c7) != sk_c6
| multiply(sk_c7,sk_c8) != sk_c6
| multiply(sk_c6,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| inverse(X1) != sk_c7
| inverse(X2) != sk_c8
| inverse(X3) != sk_c7 ),
inference(unflattening,[status(thm)],[c_79]) ).
cnf(c_376,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_83]) ).
cnf(c_377,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c7
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_83]) ).
cnf(c_378,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_83]) ).
cnf(c_379,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_83]) ).
cnf(c_380,negated_conjecture,
( multiply(sk_c7,sk_c8) != sk_c6
| multiply(sk_c6,sk_c8) != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).
cnf(c_381,plain,
X0 = X0,
theory(equality) ).
cnf(c_382,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_383,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_387,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_726,plain,
( inverse(sk_c4) != sk_c8
| ~ sP0_iProver_split
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_64,c_376]) ).
cnf(c_727,plain,
( inverse(sk_c4) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_74,c_376]) ).
cnf(c_728,plain,
( inverse(sk_c4) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_376]) ).
cnf(c_739,plain,
( inverse(identity) != sk_c8
| sk_c7 != sk_c8
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_376]) ).
cnf(c_740,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_376]) ).
cnf(c_810,plain,
( inverse(sk_c1) != sk_c7
| ~ sP1_iProver_split
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_56,c_377]) ).
cnf(c_811,plain,
( inverse(sk_c1) != sk_c7
| ~ sP1_iProver_split
| multiply(sk_c4,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_54,c_377]) ).
cnf(c_815,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_377]) ).
cnf(c_859,plain,
( inverse(sk_c5) != sk_c7
| ~ sP2_iProver_split
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_66,c_378]) ).
cnf(c_861,plain,
( inverse(sk_c5) != sk_c7
| ~ sP2_iProver_split
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_76,c_378]) ).
cnf(c_862,plain,
( inverse(sk_c5) != sk_c7
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_61,c_378]) ).
cnf(c_869,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c6 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_378]) ).
cnf(c_908,plain,
( multiply(sk_c7,sk_c8) != X0
| sk_c6 != X0
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_909,plain,
( multiply(sk_c7,sk_c8) != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(instantiation,[status(thm)],[c_908]) ).
cnf(c_910,plain,
( multiply(sk_c7,sk_c8) != multiply(sk_c7,sk_c8)
| sk_c6 != multiply(sk_c7,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(instantiation,[status(thm)],[c_908]) ).
cnf(c_911,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c7,sk_c8),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_912,plain,
( multiply(sk_c7,sk_c8) != X0
| X1 != X0
| multiply(sk_c7,sk_c8) = X1 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_914,plain,
( sk_c7 != X0
| sk_c8 != X1
| multiply(sk_c7,sk_c8) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_383]) ).
cnf(c_934,plain,
( multiply(sk_c8,sk_c3) != sk_c7
| inverse(sk_c2) != sk_c8
| ~ sP3_iProver_split
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_71,c_379]) ).
cnf(c_935,plain,
( multiply(sk_c8,sk_c3) != sk_c7
| inverse(sk_c2) != sk_c8
| ~ sP3_iProver_split
| multiply(sk_c4,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_69,c_379]) ).
cnf(c_938,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| inverse(identity) != sk_c8
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_379]) ).
cnf(c_1006,plain,
( multiply(sk_c7,sk_c8) != X0
| sk_c6 != X0
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1014,plain,
( multiply(sk_c7,sk_c8) != multiply(sk_c7,sk_c8)
| X0 != multiply(sk_c7,sk_c8)
| multiply(sk_c7,sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_912]) ).
cnf(c_1018,plain,
( sk_c7 != X0
| sk_c8 != sk_c8
| multiply(sk_c7,sk_c8) = multiply(X0,sk_c8) ),
inference(instantiation,[status(thm)],[c_914]) ).
cnf(c_1019,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1020,plain,
( X0 != X1
| sk_c8 != X1
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1022,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_1006]) ).
cnf(c_1023,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_1024,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1028,plain,
( multiply(sk_c7,sk_c8) != X0
| X1 != X0
| X1 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1029,plain,
( multiply(sk_c7,sk_c8) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_1028]) ).
cnf(c_1030,plain,
( multiply(X0,X1) != multiply(sk_c7,sk_c8)
| multiply(sk_c7,sk_c8) != multiply(sk_c7,sk_c8)
| multiply(sk_c7,sk_c8) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1014]) ).
cnf(c_1031,plain,
( X0 != sk_c7
| X1 != sk_c8
| multiply(X0,X1) = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_383]) ).
cnf(c_1047,plain,
( multiply(sk_c6,sk_c8) != sk_c7
| inverse(sk_c5) = sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_52,c_380]) ).
cnf(c_1086,plain,
( multiply(sk_c8,multiply(sk_c3,X0)) = multiply(sk_c7,X0)
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_67,c_82]) ).
cnf(c_1087,plain,
( multiply(sk_c8,multiply(sk_c3,X0)) = multiply(sk_c7,X0)
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_65,c_82]) ).
cnf(c_1094,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_1217,plain,
( multiply(sk_c7,sk_c8) != multiply(X0,sk_c8)
| X1 != multiply(X0,sk_c8)
| multiply(sk_c7,sk_c8) = X1 ),
inference(instantiation,[status(thm)],[c_912]) ).
cnf(c_1223,plain,
( X0 != sk_c8
| sk_c8 != sk_c8
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_1020]) ).
cnf(c_1231,plain,
( multiply(X0,sk_c8) != X1
| X2 != X1
| X2 = multiply(X0,sk_c8) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1233,plain,
( X0 != X1
| X2 != sk_c8
| multiply(X0,X2) = multiply(X1,sk_c8) ),
inference(instantiation,[status(thm)],[c_383]) ).
cnf(c_1245,plain,
( inverse(sk_c4) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_1223]) ).
cnf(c_1246,plain,
( multiply(identity,sk_c8) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_1223]) ).
cnf(c_1247,plain,
multiply(identity,sk_c8) = sk_c8,
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1249,plain,
( X0 != X1
| sk_c8 != X1
| X0 = sk_c8 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1255,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_1024]) ).
cnf(c_1256,plain,
( sk_c7 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1255]) ).
cnf(c_1279,plain,
( X0 != sk_c7
| sk_c8 != sk_c8
| multiply(X0,sk_c8) = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_1031]) ).
cnf(c_1280,plain,
( X0 != inverse(sk_c4)
| sk_c8 != inverse(sk_c4)
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_1020]) ).
cnf(c_1300,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1094,c_80]) ).
cnf(c_1319,plain,
( multiply(inverse(sk_c1),sk_c8) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_58,c_1300]) ).
cnf(c_1322,plain,
( multiply(inverse(sk_c1),sk_c8) = sk_c7
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_57,c_1300]) ).
cnf(c_1323,plain,
( multiply(inverse(sk_c1),sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_55,c_1300]) ).
cnf(c_1329,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c8
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_72,c_1300]) ).
cnf(c_1330,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_70,c_1300]) ).
cnf(c_1331,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_1300]) ).
cnf(c_1332,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_1300]) ).
cnf(c_1338,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1300,c_1300]) ).
cnf(c_1411,plain,
( multiply(X0,sk_c8) != multiply(sk_c7,sk_c8)
| multiply(sk_c7,sk_c8) != multiply(sk_c7,sk_c8)
| multiply(sk_c7,sk_c8) = multiply(X0,sk_c8) ),
inference(instantiation,[status(thm)],[c_1030]) ).
cnf(c_1420,plain,
( multiply(X0,X1) != X2
| sk_c6 != X2
| multiply(X0,X1) = sk_c6 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1439,plain,
( multiply(sk_c6,sk_c8) != sk_c7
| X0 != sk_c7
| X0 = multiply(sk_c6,sk_c8) ),
inference(instantiation,[status(thm)],[c_1231]) ).
cnf(c_1440,plain,
( multiply(sk_c6,sk_c8) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(instantiation,[status(thm)],[c_1439]) ).
cnf(c_1451,plain,
( multiply(X0,sk_c8) != X1
| X2 != X1
| multiply(X0,sk_c8) = X2 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1706,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1332,c_1338]) ).
cnf(c_1714,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1706,c_1331]) ).
cnf(c_1734,plain,
( X0 != X1
| sk_c8 != sk_c8
| multiply(X0,sk_c8) = multiply(X1,sk_c8) ),
inference(instantiation,[status(thm)],[c_1233]) ).
cnf(c_1754,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1338,c_81]) ).
cnf(c_1759,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1338,c_1300]) ).
cnf(c_1760,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1338,c_1706]) ).
cnf(c_1761,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1760,c_1706]) ).
cnf(c_1784,plain,
inverse(inverse(sk_c7)) = sk_c7,
inference(instantiation,[status(thm)],[c_1761]) ).
cnf(c_1800,plain,
( multiply(identity,sk_c8) != sk_c8
| X0 != sk_c8
| X0 = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_1231]) ).
cnf(c_1820,plain,
( X0 != X1
| sk_c6 != X1
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1821,plain,
( sk_c7 != sk_c7
| sk_c6 != sk_c7
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1820]) ).
cnf(c_2008,plain,
( multiply(sk_c6,sk_c8) != sk_c7
| sk_c6 != sk_c7
| sk_c6 = multiply(sk_c6,sk_c8) ),
inference(instantiation,[status(thm)],[c_1439]) ).
cnf(c_2009,plain,
( multiply(sk_c7,sk_c8) != multiply(sk_c6,sk_c8)
| sk_c6 != multiply(sk_c6,sk_c8)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_1006]) ).
cnf(c_2016,plain,
( X0 != multiply(sk_c6,sk_c8)
| sk_c8 != multiply(sk_c6,sk_c8)
| X0 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1249]) ).
cnf(c_2021,plain,
( sk_c7 != multiply(sk_c6,sk_c8)
| sk_c8 != multiply(sk_c6,sk_c8)
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_2016]) ).
cnf(c_2025,plain,
( multiply(sk_c7,sk_c8) != multiply(sk_c6,sk_c8)
| X0 != multiply(sk_c6,sk_c8)
| multiply(sk_c7,sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_1217]) ).
cnf(c_2026,plain,
( multiply(sk_c7,sk_c8) != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(sk_c6,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_2025]) ).
cnf(c_2066,plain,
( multiply(sk_c1,sk_c7) = identity
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_62,c_1754]) ).
cnf(c_2067,plain,
( multiply(sk_c1,sk_c7) = identity
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_60,c_1754]) ).
cnf(c_2068,plain,
( multiply(sk_c2,sk_c8) = identity
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_1754]) ).
cnf(c_2069,plain,
( multiply(sk_c2,sk_c8) = identity
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_75,c_1754]) ).
cnf(c_2075,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1754,c_82]) ).
cnf(c_2208,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != sk_c8
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_1759,c_379]) ).
cnf(c_2229,plain,
( sk_c7 != sk_c8
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2208,c_1761]) ).
cnf(c_2334,plain,
( inverse(sk_c5) = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2066,c_57]) ).
cnf(c_2364,plain,
( multiply(sk_c5,sk_c7) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2334,c_1754]) ).
cnf(c_2407,plain,
( inverse(sk_c4) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2067,c_55]) ).
cnf(c_2442,plain,
( multiply(sk_c4,sk_c8) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2407,c_1754]) ).
cnf(c_2490,plain,
( inverse(sk_c5) = sk_c7
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_2068,c_72]) ).
cnf(c_2569,plain,
( multiply(sk_c5,sk_c7) = identity
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_2490,c_1754]) ).
cnf(c_2608,plain,
( inverse(sk_c4) = sk_c8
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_2069,c_70]) ).
cnf(c_2627,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| X0 != sk_c6
| X0 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_1028]) ).
cnf(c_2631,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != sk_c6
| sk_c7 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_2627]) ).
cnf(c_2642,plain,
( multiply(sk_c4,sk_c8) = identity
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_2608,c_1754]) ).
cnf(c_2742,plain,
( X0 != multiply(sk_c7,sk_c8)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_1024]) ).
cnf(c_2743,plain,
( sk_c7 != multiply(sk_c7,sk_c8)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_2742]) ).
cnf(c_2901,plain,
( X0 != identity
| sk_c8 != sk_c8
| multiply(X0,sk_c8) = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_1734]) ).
cnf(c_3045,plain,
( multiply(sk_c7,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_62,c_1322]) ).
cnf(c_3082,plain,
( inverse(sk_c5) = sk_c7
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3045,c_52]) ).
cnf(c_3144,plain,
( multiply(identity,sk_c8) != sk_c8
| inverse(sk_c4) != sk_c8
| inverse(sk_c4) = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_1800]) ).
cnf(c_3160,plain,
( multiply(sk_c5,sk_c7) = identity
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3082,c_1754]) ).
cnf(c_3207,plain,
( multiply(sk_c7,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_60,c_1323]) ).
cnf(c_3295,plain,
( multiply(X0,X1) != multiply(sk_c7,sk_c8)
| sk_c6 != multiply(sk_c7,sk_c8)
| multiply(X0,X1) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1420]) ).
cnf(c_3352,plain,
( multiply(sk_c4,multiply(sk_c8,inverse(sk_c7))) = identity
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_64,c_2075]) ).
cnf(c_3638,plain,
( multiply(X0,sk_c8) != multiply(sk_c7,sk_c8)
| X1 != multiply(sk_c7,sk_c8)
| multiply(X0,sk_c8) = X1 ),
inference(instantiation,[status(thm)],[c_1451]) ).
cnf(c_4039,plain,
( inverse(sk_c4) = sk_c8
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3207,c_50]) ).
cnf(c_4072,plain,
( multiply(sk_c4,sk_c8) = identity
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_4039,c_1754]) ).
cnf(c_4212,plain,
( multiply(sk_c8,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_1329]) ).
cnf(c_4233,plain,
( inverse(sk_c5) = sk_c7
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_4212,c_67]) ).
cnf(c_4259,plain,
( multiply(sk_c5,sk_c7) = identity
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_4233,c_1754]) ).
cnf(c_4286,plain,
( multiply(sk_c8,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_75,c_1330]) ).
cnf(c_4562,plain,
( multiply(sk_c8,sk_c3) = sk_c7
| sk_c8 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2364,c_66]) ).
cnf(c_4563,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2364,c_51]) ).
cnf(c_4564,plain,
( inverse(sk_c2) = sk_c8
| sk_c8 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2364,c_76]) ).
cnf(c_4565,plain,
( inverse(sk_c1) = sk_c7
| sk_c8 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2364,c_61]) ).
cnf(c_4649,plain,
( inverse(sk_c4) = sk_c8
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_4286,c_65]) ).
cnf(c_4675,plain,
( multiply(sk_c7,sk_c8) != multiply(sk_c7,sk_c8)
| multiply(sk_c6,sk_c8) != multiply(sk_c7,sk_c8)
| multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c8) ),
inference(instantiation,[status(thm)],[c_1411]) ).
cnf(c_4676,plain,
( sk_c7 != sk_c6
| sk_c8 != sk_c8
| multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c8) ),
inference(instantiation,[status(thm)],[c_1018]) ).
cnf(c_4685,plain,
( multiply(sk_c4,sk_c8) = identity
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_4649,c_1754]) ).
cnf(c_4780,plain,
( sk_c7 != sk_c8
| sk_c8 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_739,c_1714]) ).
cnf(c_4951,plain,
( inverse(sk_c4) != X0
| X1 != X0
| inverse(sk_c4) = X1 ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_4985,plain,
( multiply(sk_c8,sk_c3) = sk_c7
| sk_c7 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2442,c_64]) ).
cnf(c_4986,plain,
( inverse(sk_c2) = sk_c8
| sk_c7 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2442,c_74]) ).
cnf(c_4987,plain,
( inverse(sk_c1) = sk_c7
| sk_c7 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2442,c_59]) ).
cnf(c_4988,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2442,c_49]) ).
cnf(c_4992,plain,
( inverse(sk_c4) != sk_c8
| sk_c7 != identity
| ~ sP0_iProver_split
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2442,c_376]) ).
cnf(c_5171,plain,
( inverse(sk_c4) != sk_c8
| sk_c7 != identity
| ~ sP0_iProver_split
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_2642,c_376]) ).
cnf(c_5964,plain,
( multiply(sk_c8,sk_c3) = sk_c7
| sk_c7 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_3160,c_66]) ).
cnf(c_5965,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_3160,c_51]) ).
cnf(c_5966,plain,
( inverse(sk_c2) = sk_c8
| sk_c7 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_3160,c_76]) ).
cnf(c_5967,plain,
( inverse(sk_c1) = sk_c7
| sk_c7 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_3160,c_61]) ).
cnf(c_6038,plain,
( inverse(sk_c2) = sk_c8
| sk_c7 = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_4072,c_74]) ).
cnf(c_6039,plain,
( inverse(sk_c1) = sk_c7
| sk_c7 = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_4072,c_59]) ).
cnf(c_6040,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_4072,c_49]) ).
cnf(c_6338,plain,
( inverse(sk_c4) != X0
| sk_c6 != X0
| sk_c6 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_1024]) ).
cnf(c_6340,plain,
( sk_c8 != inverse(sk_c4)
| sk_c6 != inverse(sk_c4)
| sk_c8 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1280]) ).
cnf(c_6341,plain,
( inverse(sk_c4) != sk_c7
| sk_c6 != sk_c7
| sk_c6 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_6338]) ).
cnf(c_6540,plain,
( multiply(sk_c6,sk_c8) != X0
| sk_c8 != X0
| sk_c8 = multiply(sk_c6,sk_c8) ),
inference(instantiation,[status(thm)],[c_1231]) ).
cnf(c_7792,plain,
( sk_c8 != sk_c8
| sk_c6 != identity
| multiply(sk_c6,sk_c8) = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_2901]) ).
cnf(c_8148,plain,
( multiply(sk_c6,sk_c8) != multiply(sk_c7,sk_c8)
| sk_c7 != multiply(sk_c7,sk_c8)
| multiply(sk_c6,sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_3638]) ).
cnf(c_8271,plain,
( multiply(sk_c6,sk_c8) != X0
| sk_c7 != X0
| multiply(sk_c6,sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1451]) ).
cnf(c_8476,plain,
( multiply(sk_c8,sk_c3) = sk_c7
| sk_c7 = sk_c8
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_4259,c_66]) ).
cnf(c_8478,plain,
( inverse(sk_c2) = sk_c8
| sk_c7 = sk_c8
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_4259,c_76]) ).
cnf(c_8479,plain,
( inverse(sk_c1) = sk_c7
| sk_c7 = sk_c8
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_4259,c_61]) ).
cnf(c_8515,plain,
( multiply(sk_c8,sk_c3) = sk_c7
| sk_c7 = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_4685,c_64]) ).
cnf(c_8516,plain,
( inverse(sk_c2) = sk_c8
| sk_c7 = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_4685,c_74]) ).
cnf(c_8517,plain,
( inverse(sk_c1) = sk_c7
| sk_c7 = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_4685,c_59]) ).
cnf(c_8521,plain,
( multiply(sk_c8,identity) != sk_c7
| inverse(sk_c4) != sk_c8
| ~ sP3_iProver_split
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_4685,c_379]) ).
cnf(c_8522,plain,
( inverse(sk_c4) != sk_c8
| sk_c7 != identity
| ~ sP0_iProver_split
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_4685,c_376]) ).
cnf(c_9946,plain,
( sk_c8 != sk_c8
| sk_c6 != sk_c7
| multiply(sk_c6,sk_c8) = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_1279]) ).
cnf(c_9954,plain,
( inverse(sk_c2) = sk_c8
| sk_c6 = identity ),
inference(global_subsumption_just,[status(thm)],[c_4564,c_77,c_75,c_78,c_387,c_380,c_727,c_815,c_861,c_909,c_1019,c_1023,c_1256,c_1440,c_1784,c_2026,c_2229,c_4564,c_4676,c_5966,c_8478]) ).
cnf(c_9966,plain,
( multiply(sk_c2,sk_c8) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_9954,c_1754]) ).
cnf(c_10042,plain,
( multiply(sk_c6,sk_c8) != sk_c6
| sk_c7 != sk_c6
| multiply(sk_c6,sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_8271]) ).
cnf(c_10044,plain,
( multiply(sk_c6,sk_c8) != multiply(sk_c7,sk_c8)
| sk_c6 != multiply(sk_c7,sk_c8)
| multiply(sk_c6,sk_c8) = sk_c6 ),
inference(instantiation,[status(thm)],[c_3295]) ).
cnf(c_10078,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c6 = identity
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_9966,c_73]) ).
cnf(c_10079,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| sk_c6 = identity
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_9966,c_71]) ).
cnf(c_10212,plain,
( inverse(sk_c1) = sk_c7
| sk_c6 = identity ),
inference(global_subsumption_just,[status(thm)],[c_4565,c_62,c_60,c_63,c_387,c_380,c_728,c_815,c_862,c_909,c_1019,c_1023,c_1256,c_1440,c_1784,c_2026,c_2229,c_4565,c_4676,c_5967,c_8479]) ).
cnf(c_10220,plain,
( multiply(sk_c7,sk_c8) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_10212,c_1319]) ).
cnf(c_10224,plain,
( multiply(sk_c1,sk_c7) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_10212,c_1754]) ).
cnf(c_10268,plain,
( sk_c7 = identity
| inverse(sk_c2) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_4986,c_77,c_75,c_78,c_387,c_380,c_727,c_815,c_861,c_909,c_1019,c_1023,c_1256,c_1440,c_1784,c_2026,c_2229,c_4676,c_4986,c_6038,c_8516]) ).
cnf(c_10269,plain,
( inverse(sk_c2) = sk_c8
| sk_c7 = identity ),
inference(renaming,[status(thm)],[c_10268]) ).
cnf(c_10280,plain,
( multiply(sk_c2,sk_c8) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_10269,c_1754]) ).
cnf(c_10314,plain,
( sk_c7 = identity
| inverse(sk_c1) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_4987,c_62,c_60,c_63,c_387,c_380,c_728,c_815,c_862,c_909,c_1019,c_1023,c_1256,c_1440,c_1784,c_2026,c_2229,c_4676,c_4987,c_6039,c_8517]) ).
cnf(c_10315,plain,
( inverse(sk_c1) = sk_c7
| sk_c7 = identity ),
inference(renaming,[status(thm)],[c_10314]) ).
cnf(c_10322,plain,
( multiply(sk_c7,sk_c8) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_10315,c_1319]) ).
cnf(c_10326,plain,
( multiply(sk_c1,sk_c7) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_10315,c_1754]) ).
cnf(c_10532,plain,
( multiply(sk_c4,sk_c8) != sk_c7
| inverse(sk_c4) != sk_c8
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_10915,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c8 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_10224,c_58]) ).
cnf(c_10916,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| sk_c8 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_10224,c_56]) ).
cnf(c_11550,plain,
( multiply(sk_c4,sk_c8) = sk_c7
| sk_c7 = identity
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_10280,c_69]) ).
cnf(c_11647,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c7 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_10326,c_58]) ).
cnf(c_11648,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| sk_c7 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_10326,c_56]) ).
cnf(c_11649,plain,
( multiply(sk_c4,sk_c8) = sk_c7
| sk_c7 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_10326,c_54]) ).
cnf(c_12665,plain,
( sk_c7 != identity
| sk_c8 != sk_c8
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_740,c_1761]) ).
cnf(c_12666,plain,
( sk_c7 != identity
| ~ sP0_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_12665]) ).
cnf(c_12869,plain,
( sk_c8 != identity
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_815,c_815,c_1784]) ).
cnf(c_12936,plain,
( sk_c6 != identity
| ~ sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_869,c_869,c_1784]) ).
cnf(c_13495,plain,
( multiply(identity,sk_c8) != X0
| X1 != X0
| X1 = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_1231]) ).
cnf(c_13496,plain,
( multiply(identity,sk_c8) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_13495]) ).
cnf(c_14800,plain,
( multiply(sk_c8,sk_c3) = sk_c7
| sk_c6 = identity ),
inference(global_subsumption_just,[status(thm)],[c_4562,c_67,c_65,c_68,c_387,c_380,c_726,c_815,c_859,c_909,c_1019,c_1023,c_1256,c_1440,c_1784,c_2026,c_2229,c_4562,c_4676,c_5964,c_8476]) ).
cnf(c_14811,plain,
( multiply(sk_c8,multiply(sk_c3,X0)) = multiply(sk_c7,X0)
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_14800,c_82]) ).
cnf(c_15010,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = identity ),
inference(global_subsumption_just,[status(thm)],[c_4563,c_53,c_387,c_909,c_1019,c_1023,c_1256,c_1440,c_2026,c_4676,c_5965]) ).
cnf(c_15122,plain,
( X0 != identity
| sk_c6 != identity
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_1024]) ).
cnf(c_15123,plain,
( sk_c7 != identity
| sk_c6 != identity
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_15122]) ).
cnf(c_15124,plain,
( sk_c7 = identity
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_4985,c_67,c_65,c_68,c_53,c_387,c_380,c_726,c_815,c_859,c_909,c_1019,c_1023,c_1256,c_1440,c_1784,c_1821,c_2026,c_2229,c_4676,c_4985,c_6040,c_8515,c_15010,c_15123]) ).
cnf(c_15125,plain,
( multiply(sk_c8,sk_c3) = sk_c7
| sk_c7 = identity ),
inference(renaming,[status(thm)],[c_15124]) ).
cnf(c_15135,plain,
( multiply(sk_c8,multiply(sk_c3,X0)) = multiply(sk_c7,X0)
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_15125,c_82]) ).
cnf(c_15159,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_4988,c_53,c_387,c_909,c_1019,c_1023,c_1256,c_1440,c_1821,c_2026,c_4676,c_6040,c_15010,c_15123]) ).
cnf(c_15169,plain,
( multiply(sk_c6,sk_c8) != sk_c7
| sk_c8 = identity
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_15159,c_380]) ).
cnf(c_15274,plain,
( multiply(sk_c6,sk_c8) != multiply(identity,sk_c8)
| sk_c8 != multiply(identity,sk_c8)
| sk_c8 = multiply(sk_c6,sk_c8) ),
inference(instantiation,[status(thm)],[c_6540]) ).
cnf(c_15487,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = identity ),
inference(global_subsumption_just,[status(thm)],[c_6040,c_53,c_387,c_909,c_1019,c_1023,c_1256,c_1440,c_1821,c_2026,c_4676,c_6040,c_15010,c_15123]) ).
cnf(c_15489,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_15487,c_53,c_910,c_911,c_1019,c_2008,c_2009,c_4675,c_9946,c_15010,c_15123,c_15487]) ).
cnf(c_15501,plain,
( multiply(sk_c6,sk_c8) != sk_c7
| sk_c6 != sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_380,c_15489]) ).
cnf(c_15502,plain,
( multiply(sk_c6,sk_c8) != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_15501]) ).
cnf(c_16717,plain,
( X0 != identity
| sk_c6 != identity
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1820]) ).
cnf(c_16718,plain,
( sk_c7 != identity
| sk_c6 != identity
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_16717]) ).
cnf(c_16783,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c3 = identity ),
inference(global_subsumption_just,[status(thm)],[c_10078,c_53,c_387,c_909,c_1019,c_1022,c_1023,c_1029,c_1256,c_1440,c_1821,c_2026,c_2631,c_2743,c_4676,c_6040,c_8148,c_9946,c_10220,c_10322,c_15010,c_15123,c_16718]) ).
cnf(c_16790,plain,
( multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_16783,c_82]) ).
cnf(c_16792,plain,
( inverse(sk_c6) != sk_c8
| ~ sP0_iProver_split
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_16783,c_376]) ).
cnf(c_16806,plain,
( ~ sP0_iProver_split
| sk_c3 = identity ),
inference(global_subsumption_just,[status(thm)],[c_16792,c_2608,c_5171,c_10532,c_11550]) ).
cnf(c_17084,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| sk_c3 = identity ),
inference(global_subsumption_just,[status(thm)],[c_10079,c_76,c_61,c_66,c_53,c_387,c_810,c_909,c_934,c_1019,c_1022,c_1023,c_1029,c_1256,c_1440,c_1821,c_2026,c_2743,c_4676,c_6040,c_8148,c_9946,c_10042,c_10044,c_10079,c_10322,c_12936,c_15010,c_15123,c_15502,c_16718,c_16806]) ).
cnf(c_17102,plain,
( sk_c6 = identity
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_17084,c_2569]) ).
cnf(c_17104,plain,
( inverse(sk_c5) != sk_c7
| ~ sP2_iProver_split
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_17084,c_378]) ).
cnf(c_17195,plain,
( multiply(sk_c8,identity) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_17102,c_14800]) ).
cnf(c_17655,plain,
( ~ sP2_iProver_split
| sk_c3 = identity ),
inference(global_subsumption_just,[status(thm)],[c_17104,c_869,c_1784,c_17102]) ).
cnf(c_17663,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c6 = identity ),
inference(global_subsumption_just,[status(thm)],[c_10915,c_53,c_387,c_909,c_1019,c_1022,c_1023,c_1029,c_1256,c_1440,c_1821,c_2026,c_2631,c_2743,c_4676,c_6040,c_8148,c_9946,c_10220,c_10322,c_15010,c_15123,c_16718]) ).
cnf(c_17692,plain,
( sk_c8 = identity
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_10916,c_76,c_61,c_66,c_53,c_387,c_810,c_909,c_934,c_1019,c_1022,c_1023,c_1029,c_1256,c_1440,c_1821,c_2026,c_2407,c_2743,c_4676,c_4992,c_6040,c_8148,c_9946,c_10042,c_10044,c_10322,c_10916,c_11648,c_12936,c_15010,c_15123,c_15502,c_16718]) ).
cnf(c_17693,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| sk_c8 = identity ),
inference(renaming,[status(thm)],[c_17692]) ).
cnf(c_17711,plain,
( sk_c8 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_17693,c_2364]) ).
cnf(c_17712,plain,
( inverse(sk_c5) != sk_c7
| ~ sP2_iProver_split
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_17693,c_378]) ).
cnf(c_17713,plain,
( inverse(sk_c5) != sk_c7
| sk_c8 != sk_c6
| ~ sP1_iProver_split
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_17693,c_377]) ).
cnf(c_17758,plain,
( ~ sP2_iProver_split
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_17712,c_869,c_1784,c_17711]) ).
cnf(c_18001,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_11647,c_53,c_387,c_909,c_1019,c_1022,c_1023,c_1029,c_1256,c_1440,c_1821,c_2026,c_2743,c_4676,c_6040,c_8148,c_9946,c_10042,c_10044,c_10322,c_15010,c_15123,c_16718,c_17663]) ).
cnf(c_18010,plain,
( inverse(sk_c6) != sk_c8
| ~ sP0_iProver_split
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_18001,c_376]) ).
cnf(c_18028,plain,
( multiply(identity,sk_c8) = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_17711,c_18001]) ).
cnf(c_18778,plain,
( inverse(sk_c4) != multiply(identity,sk_c8)
| X0 != multiply(identity,sk_c8)
| inverse(sk_c4) = X0 ),
inference(instantiation,[status(thm)],[c_4951]) ).
cnf(c_18779,plain,
( inverse(sk_c4) != multiply(identity,sk_c8)
| sk_c7 != multiply(identity,sk_c8)
| inverse(sk_c4) = sk_c7 ),
inference(instantiation,[status(thm)],[c_18778]) ).
cnf(c_18818,plain,
( ~ sP0_iProver_split
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_18010,c_2407,c_4992,c_10532,c_11649]) ).
cnf(c_18824,plain,
( sk_c7 != sk_c8
| ~ sP0_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_4780,c_18818]) ).
cnf(c_18829,plain,
( multiply(sk_c4,sk_c8) = sk_c7
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_11649,c_74,c_59,c_64,c_811,c_935,c_15169,c_17758,c_18001,c_18818]) ).
cnf(c_18846,plain,
( sk_c7 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_18829,c_2442]) ).
cnf(c_18866,plain,
~ sP3_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_938,c_53,c_387,c_909,c_1019,c_1022,c_1023,c_1029,c_1246,c_1247,c_1256,c_1440,c_1821,c_2021,c_2026,c_2229,c_2631,c_2743,c_4649,c_4676,c_6040,c_7792,c_8148,c_8521,c_9946,c_10220,c_10322,c_15010,c_15123,c_15274,c_16718,c_17195]) ).
cnf(c_18868,plain,
multiply(sk_c8,multiply(sk_c3,X0)) = multiply(sk_c7,X0),
inference(global_subsumption_just,[status(thm)],[c_1086,c_53,c_387,c_815,c_909,c_1019,c_1022,c_1023,c_1029,c_1087,c_1245,c_1246,c_1247,c_1256,c_1440,c_1784,c_1821,c_2021,c_2026,c_2229,c_2334,c_2407,c_2631,c_2743,c_3144,c_4649,c_4676,c_6040,c_6341,c_6340,c_7792,c_8148,c_8522,c_8521,c_9946,c_10042,c_10044,c_10220,c_10322,c_12936,c_13496,c_14811,c_15010,c_15123,c_15135,c_15169,c_15274,c_15502,c_16718,c_17195,c_17711,c_17713,c_17758,c_18001,c_18028,c_18779,c_18818,c_18824,c_18846]) ).
cnf(c_18873,plain,
multiply(sk_c7,identity) = multiply(sk_c8,sk_c3),
inference(superposition,[status(thm)],[c_1706,c_18868]) ).
cnf(c_19159,plain,
sk_c8 = identity,
inference(global_subsumption_just,[status(thm)],[c_18846,c_387,c_1019,c_1245,c_1247,c_2334,c_2407,c_3144,c_6341,c_6340,c_13496,c_15123,c_15169,c_17711,c_17713,c_17758,c_18001,c_18028,c_18779,c_18818,c_18846,c_18866]) ).
cnf(c_19199,plain,
multiply(sk_c7,identity) = sk_c6,
inference(demodulation,[status(thm)],[c_15489,c_19159]) ).
cnf(c_19286,plain,
( inverse(sk_c5) = sk_c7
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_4233,c_19159]) ).
cnf(c_19332,plain,
( multiply(sk_c2,identity) = sk_c3
| inverse(sk_c5) = sk_c7 ),
inference(demodulation,[status(thm)],[c_72,c_19159]) ).
cnf(c_19643,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm)],[c_19199,c_1706]) ).
cnf(c_19647,plain,
( sk_c7 != identity
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_12936,c_19643]) ).
cnf(c_19715,plain,
inverse(sk_c5) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_19332,c_53,c_387,c_815,c_909,c_1019,c_1022,c_1023,c_1029,c_1047,c_1245,c_1246,c_1247,c_1256,c_1440,c_1784,c_1821,c_2021,c_2026,c_2229,c_2334,c_2407,c_2631,c_2743,c_3144,c_4233,c_4649,c_4676,c_6040,c_6341,c_6340,c_7792,c_8148,c_8521,c_9946,c_10220,c_10322,c_13496,c_15010,c_15123,c_15169,c_15274,c_16718,c_17195,c_17711,c_17713,c_17758,c_18001,c_18028,c_18779,c_18818,c_18824,c_18846,c_19286,c_19647]) ).
cnf(c_19789,plain,
sk_c3 = identity,
inference(global_subsumption_just,[status(thm)],[c_16790,c_53,c_387,c_815,c_909,c_1019,c_1022,c_1023,c_1029,c_1245,c_1246,c_1247,c_1256,c_1440,c_1784,c_1821,c_2021,c_2026,c_2229,c_2334,c_2407,c_2631,c_2743,c_3144,c_4649,c_4676,c_6040,c_6341,c_6340,c_7792,c_8148,c_8521,c_9946,c_10220,c_10322,c_13496,c_15010,c_15123,c_15169,c_15274,c_15502,c_16718,c_16806,c_17195,c_17655,c_17711,c_17713,c_17758,c_18001,c_18028,c_18779,c_18818,c_18846]) ).
cnf(c_19803,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_3352,c_65,c_53,c_387,c_380,c_726,c_815,c_859,c_909,c_1019,c_1022,c_1023,c_1029,c_1245,c_1246,c_1247,c_1256,c_1440,c_1784,c_1821,c_2021,c_2026,c_2229,c_2334,c_2407,c_2631,c_2743,c_3144,c_4649,c_4676,c_6040,c_6341,c_6340,c_7792,c_8148,c_8521,c_9946,c_10220,c_10322,c_13496,c_15010,c_15123,c_15169,c_15274,c_16718,c_17195,c_17711,c_17713,c_17758,c_18001,c_18028,c_18779,c_18818,c_18846,c_19715]) ).
cnf(c_19805,plain,
multiply(identity,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_19803,c_18873,c_19159,c_19789]) ).
cnf(c_19806,plain,
sk_c7 = identity,
inference(demodulation,[status(thm)],[c_19805,c_80]) ).
cnf(c_19810,plain,
sk_c6 = identity,
inference(demodulation,[status(thm)],[c_19643,c_19806]) ).
cnf(c_19811,plain,
( identity != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_12666,c_19806]) ).
cnf(c_19813,plain,
~ sP0_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_19811]) ).
cnf(c_19873,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_19810,c_19813,c_19159,c_18866,c_16718,c_15502,c_15489,c_15123,c_12936,c_12869,c_10322,c_10044,c_10042,c_9946,c_8148,c_2743,c_1029,c_1023,c_1022,c_1019,c_387]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP320-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 23:03:17 EDT 2023
% 0.13/0.33 % 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
% 4.07/1.15 % SZS status Started for theBenchmark.p
% 4.07/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 4.07/1.15
% 4.07/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.07/1.15
% 4.07/1.15 ------ iProver source info
% 4.07/1.15
% 4.07/1.15 git: date: 2023-05-31 18:12:56 +0000
% 4.07/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.07/1.15 git: non_committed_changes: false
% 4.07/1.15 git: last_make_outside_of_git: false
% 4.07/1.15
% 4.07/1.15 ------ Parsing...successful
% 4.07/1.15
% 4.07/1.15
% 4.07/1.15
% 4.07/1.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.07/1.15
% 4.07/1.15 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.07/1.15
% 4.07/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.07/1.15 ------ Proving...
% 4.07/1.15 ------ Problem Properties
% 4.07/1.15
% 4.07/1.15
% 4.07/1.15 clauses 38
% 4.07/1.15 conjectures 35
% 4.07/1.15 EPR 0
% 4.07/1.15 Horn 7
% 4.07/1.15 unary 3
% 4.07/1.15 binary 30
% 4.07/1.15 lits 81
% 4.07/1.15 lits eq 73
% 4.07/1.15 fd_pure 0
% 4.07/1.15 fd_pseudo 0
% 4.07/1.15 fd_cond 0
% 4.07/1.15 fd_pseudo_cond 0
% 4.07/1.15 AC symbols 0
% 4.07/1.15
% 4.07/1.15 ------ Schedule dynamic 5 is on
% 4.07/1.15
% 4.07/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.07/1.15
% 4.07/1.15
% 4.07/1.15 ------
% 4.07/1.15 Current options:
% 4.07/1.15 ------
% 4.07/1.15
% 4.07/1.15
% 4.07/1.15
% 4.07/1.15
% 4.07/1.15 ------ Proving...
% 4.07/1.15
% 4.07/1.15
% 4.07/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 4.07/1.15
% 4.07/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.07/1.15
% 4.07/1.16
%------------------------------------------------------------------------------