TSTP Solution File: GRP233-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP233-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 00:58:49 EDT 2023
% Result : Unsatisfiable 3.85s 1.14s
% Output : CNFRefutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 32
% Syntax : Number of clauses : 245 ( 40 unt; 144 nHn; 211 RR)
% Number of literals : 541 ( 455 equ; 159 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| multiply(X1,sk_c8) != X2
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c8) != X5
| multiply(sk_c8,X2) != sk_c7
| multiply(sk_c8,X5) != sk_c7
| inverse(X0) != sk_c8
| inverse(X1) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_81,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_82,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(sk_c8) != sk_c7 ),
inference(unflattening,[status(thm)],[c_79]) ).
cnf(c_372,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_373,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_83]) ).
cnf(c_374,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_83]) ).
cnf(c_375,negated_conjecture,
( inverse(sk_c8) != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).
cnf(c_377,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_385,plain,
( multiply(sk_c8,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c8
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_374]) ).
cnf(c_726,plain,
( inverse(sk_c5) != sk_c8
| sk_c7 != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_62,c_372]) ).
cnf(c_729,plain,
( inverse(sk_c1) != sk_c8
| ~ sP0_iProver_split
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_56,c_372]) ).
cnf(c_730,plain,
( inverse(sk_c1) != sk_c8
| ~ sP0_iProver_split
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_55,c_372]) ).
cnf(c_732,plain,
( inverse(sk_c1) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_54,c_372]) ).
cnf(c_738,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c7
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_372]) ).
cnf(c_805,plain,
( inverse(sk_c4) != sk_c8
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_60,c_374]) ).
cnf(c_807,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_374]) ).
cnf(c_835,plain,
( multiply(sk_c8,sk_c6) != sk_c7
| inverse(sk_c5) != sk_c8
| ~ sP1_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_62,c_373]) ).
cnf(c_845,plain,
( multiply(sk_c8,sk_c3) != sk_c7
| inverse(sk_c2) != sk_c8
| ~ sP1_iProver_split
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_73,c_373]) ).
cnf(c_846,plain,
( multiply(sk_c8,sk_c3) != sk_c7
| inverse(sk_c2) != sk_c8
| ~ sP1_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_69,c_373]) ).
cnf(c_848,plain,
( inverse(inverse(sk_c8)) != sk_c8
| multiply(sk_c8,identity) != sk_c7
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_373]) ).
cnf(c_913,plain,
( inverse(X0) != X1
| sk_c8 != X1
| inverse(X0) = sk_c8 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_918,plain,
( inverse(sk_c8) != sk_c7
| sk_c8 != sk_c7
| inverse(sk_c8) = sk_c8 ),
inference(instantiation,[status(thm)],[c_913]) ).
cnf(c_941,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_52,c_82]) ).
cnf(c_951,plain,
( multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sk_c3,X0)
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_71,c_82]) ).
cnf(c_956,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_1118,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_956,c_80]) ).
cnf(c_1127,plain,
( multiply(inverse(sk_c4),sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_60,c_1118]) ).
cnf(c_1131,plain,
( multiply(inverse(sk_c8),sk_c7) = sk_c6
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_51,c_1118]) ).
cnf(c_1133,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_77,c_1118]) ).
cnf(c_1134,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_62,c_1118]) ).
cnf(c_1135,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_52,c_1118]) ).
cnf(c_1138,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_55,c_1118]) ).
cnf(c_1139,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_58,c_1118]) ).
cnf(c_1140,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_54,c_1118]) ).
cnf(c_1147,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_73,c_1118]) ).
cnf(c_1148,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_69,c_1118]) ).
cnf(c_1149,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_1118]) ).
cnf(c_1150,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_1118]) ).
cnf(c_1151,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_82,c_1118]) ).
cnf(c_1158,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1118,c_1118]) ).
cnf(c_1398,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1150,c_1158]) ).
cnf(c_1406,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1398,c_1149]) ).
cnf(c_1440,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1158,c_81]) ).
cnf(c_1444,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1158,c_1118]) ).
cnf(c_1445,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_1158,c_1398]) ).
cnf(c_1446,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1445,c_1398]) ).
cnf(c_1470,plain,
inverse(inverse(sk_c8)) = sk_c8,
inference(instantiation,[status(thm)],[c_1446]) ).
cnf(c_1485,plain,
( inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c5 ),
inference(superposition,[status(thm)],[c_53,c_1446]) ).
cnf(c_1729,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_1485,c_81]) ).
cnf(c_1948,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_63,c_1440]) ).
cnf(c_1950,plain,
( multiply(sk_c2,sk_c8) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_78,c_1440]) ).
cnf(c_2040,plain,
( inverse(sk_c8) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1729,c_52]) ).
cnf(c_2089,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c8 != sk_c7
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_1444,c_373]) ).
cnf(c_2110,plain,
( sk_c8 != sk_c7
| ~ sP1_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2089,c_1446]) ).
cnf(c_2240,plain,
( sk_c6 = identity
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_2040,c_375]) ).
cnf(c_2243,plain,
( inverse(sk_c7) = sk_c8
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2040,c_1446]) ).
cnf(c_2245,plain,
( multiply(sk_c7,sk_c8) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2040,c_81]) ).
cnf(c_2305,plain,
( inverse(sk_c5) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1948,c_58]) ).
cnf(c_2545,plain,
( inverse(sk_c2) != sk_c8
| sk_c7 != identity
| ~ sP0_iProver_split
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_1950,c_372]) ).
cnf(c_3514,plain,
( multiply(sk_c8,sk_c6) = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_53,c_1135]) ).
cnf(c_3538,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_3514,c_51]) ).
cnf(c_3733,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_63,c_1139]) ).
cnf(c_3815,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_59,c_1140]) ).
cnf(c_4900,plain,
( multiply(sk_c8,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_78,c_1147]) ).
cnf(c_4925,plain,
( inverse(sk_c5) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4900,c_68]) ).
cnf(c_4936,plain,
inverse(sk_c5) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_4925,c_78,c_53,c_68,c_385,c_375,c_845,c_918,c_2305,c_2545,c_3733,c_4925]) ).
cnf(c_4944,plain,
( multiply(sk_c8,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(demodulation,[status(thm)],[c_1134,c_4936]) ).
cnf(c_4945,plain,
( multiply(sk_c8,sk_c6) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(demodulation,[status(thm)],[c_1133,c_4936]) ).
cnf(c_4962,plain,
multiply(sk_c5,sk_c8) = identity,
inference(superposition,[status(thm)],[c_4936,c_1440]) ).
cnf(c_4963,plain,
inverse(sk_c8) = sk_c5,
inference(superposition,[status(thm)],[c_4936,c_1446]) ).
cnf(c_4966,plain,
( multiply(sk_c2,sk_c8) = sk_c3
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_72,c_4962]) ).
cnf(c_4967,plain,
( multiply(sk_c8,sk_c3) = sk_c7
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_67,c_4962]) ).
cnf(c_4968,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_57,c_4962]) ).
cnf(c_4969,plain,
( inverse(sk_c2) = sk_c8
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_77,c_4962]) ).
cnf(c_4970,plain,
( inverse(sk_c1) = sk_c8
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_62,c_4962]) ).
cnf(c_4987,plain,
( sk_c8 = sk_c7
| sk_c7 = sk_c5 ),
inference(demodulation,[status(thm)],[c_3538,c_4963]) ).
cnf(c_4992,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| sk_c7 = sk_c5 ),
inference(demodulation,[status(thm)],[c_1131,c_4963]) ).
cnf(c_4998,plain,
( sk_c7 = sk_c5
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_2040,c_4963]) ).
cnf(c_5007,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| sk_c7 = sk_c5 ),
inference(demodulation,[status(thm)],[c_50,c_4963]) ).
cnf(c_5009,plain,
( sk_c7 != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_375,c_4963]) ).
cnf(c_5074,plain,
( inverse(sk_c8) = sk_c2
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_4969,c_1446]) ).
cnf(c_5077,plain,
( sk_c6 = identity
| sk_c5 = sk_c2 ),
inference(light_normalisation,[status(thm)],[c_5074,c_4963]) ).
cnf(c_5225,plain,
( inverse(sk_c8) = sk_c1
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_4970,c_1446]) ).
cnf(c_5228,plain,
( sk_c6 = identity
| sk_c5 = sk_c1 ),
inference(light_normalisation,[status(thm)],[c_5225,c_4963]) ).
cnf(c_5271,plain,
( multiply(sk_c8,sk_c3) != sk_c7
| inverse(sk_c2) != sk_c8
| ~ sP1_iProver_split
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_4966,c_373]) ).
cnf(c_5274,plain,
( multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sk_c3,X0)
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_4966,c_82]) ).
cnf(c_5317,plain,
( inverse(sk_c1) != sk_c8
| ~ sP0_iProver_split
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_4968,c_372]) ).
cnf(c_5319,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_4968,c_82]) ).
cnf(c_5358,plain,
( multiply(sk_c8,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_74,c_1148]) ).
cnf(c_5418,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4944,c_61]) ).
cnf(c_5437,plain,
( multiply(sk_c1,sk_c8) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_5418,c_1440]) ).
cnf(c_5438,plain,
( inverse(sk_c8) = sk_c1
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_5418,c_1446]) ).
cnf(c_5441,plain,
( sk_c8 = sk_c7
| sk_c5 = sk_c1 ),
inference(light_normalisation,[status(thm)],[c_5438,c_4963]) ).
cnf(c_5552,plain,
( inverse(sk_c4) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_5358,c_64]) ).
cnf(c_5563,plain,
inverse(sk_c4) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_5552,c_74,c_59,c_49,c_64,c_385,c_375,c_732,c_846,c_918,c_3815,c_5552]) ).
cnf(c_5571,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(demodulation,[status(thm)],[c_1127,c_5563]) ).
cnf(c_5582,plain,
multiply(sk_c4,multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_5563,c_1444]) ).
cnf(c_5583,plain,
multiply(sk_c4,sk_c8) = identity,
inference(superposition,[status(thm)],[c_5563,c_1440]) ).
cnf(c_5584,plain,
inverse(sk_c8) = sk_c4,
inference(superposition,[status(thm)],[c_5563,c_1446]) ).
cnf(c_5587,plain,
sk_c4 = sk_c5,
inference(demodulation,[status(thm)],[c_4963,c_5584]) ).
cnf(c_5588,plain,
( sk_c7 = sk_c4
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_4998,c_5587]) ).
cnf(c_5589,plain,
( sk_c8 = sk_c7
| sk_c7 = sk_c4 ),
inference(demodulation,[status(thm)],[c_4987,c_5587]) ).
cnf(c_5591,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| sk_c7 = sk_c4 ),
inference(demodulation,[status(thm)],[c_5007,c_5587]) ).
cnf(c_5596,plain,
( sk_c7 != sk_c4
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_5009,c_5587]) ).
cnf(c_5642,plain,
( ~ sP0_iProver_split
| sk_c6 = identity ),
inference(global_subsumption_just,[status(thm)],[c_5317,c_4970,c_5317]) ).
cnf(c_5648,plain,
( sk_c6 = identity
| sP1_iProver_split
| sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_2240,c_5642]) ).
cnf(c_5691,plain,
( inverse(sk_c2) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4945,c_76]) ).
cnf(c_5706,plain,
( multiply(sk_c2,sk_c8) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_5691,c_1440]) ).
cnf(c_5707,plain,
( inverse(sk_c8) = sk_c2
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_5691,c_1446]) ).
cnf(c_5710,plain,
( sk_c8 = sk_c7
| sk_c4 = sk_c2 ),
inference(light_normalisation,[status(thm)],[c_5707,c_5584]) ).
cnf(c_5745,plain,
( sk_c6 = identity
| sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_5648,c_375,c_2040,c_4969,c_4967,c_5271,c_5642]) ).
cnf(c_5764,plain,
( sk_c8 != sk_c7
| sk_c8 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_738,c_1406]) ).
cnf(c_5790,plain,
( sk_c8 != sk_c7
| sk_c8 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_807,c_1406]) ).
cnf(c_5895,plain,
( sk_c4 = sk_c2
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_5077,c_5587]) ).
cnf(c_5902,plain,
( multiply(sk_c4,sk_c8) = sk_c3
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_5895,c_4966]) ).
cnf(c_5907,plain,
( sk_c6 = identity
| sk_c3 = identity ),
inference(light_normalisation,[status(thm)],[c_5902,c_5583]) ).
cnf(c_5912,plain,
( sk_c4 = sk_c1
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_5228,c_5587]) ).
cnf(c_5929,plain,
( sk_c8 = sk_c7
| sk_c4 = sk_c1 ),
inference(light_normalisation,[status(thm)],[c_5441,c_5587]) ).
cnf(c_6625,plain,
( multiply(sk_c8,identity) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_5907,c_4967]) ).
cnf(c_6690,plain,
( multiply(sk_c6,X0) = X0
| sk_c7 = sk_c4 ),
inference(light_normalisation,[status(thm)],[c_941,c_5582,c_5584,c_5587]) ).
cnf(c_6701,plain,
( inverse(sk_c6) != sk_c8
| sk_c8 != sk_c7
| ~ sP0_iProver_split
| sk_c7 = sk_c4 ),
inference(superposition,[status(thm)],[c_6690,c_372]) ).
cnf(c_6709,plain,
( inverse(sk_c6) = identity
| sk_c7 = sk_c4 ),
inference(superposition,[status(thm)],[c_6690,c_1440]) ).
cnf(c_6883,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_1440,c_1151]) ).
cnf(c_6903,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_6883,c_1398]) ).
cnf(c_7507,plain,
( multiply(sk_c4,sk_c7) != sk_c8
| inverse(sk_c4) != sk_c8
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_374]) ).
cnf(c_7848,plain,
( ~ sP0_iProver_split
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_729,c_61,c_729]) ).
cnf(c_7854,plain,
( ~ sP0_iProver_split
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_730,c_60,c_730]) ).
cnf(c_9169,plain,
( multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sk_c3,X0)
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_5895,c_5274]) ).
cnf(c_9215,plain,
( multiply(sk_c3,X0) = X0
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_9169,c_5582]) ).
cnf(c_9520,plain,
( multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_5912,c_5319]) ).
cnf(c_9567,plain,
( multiply(sk_c7,X0) = X0
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_9520,c_5582]) ).
cnf(c_10265,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| sk_c7 = sk_c4 ),
inference(light_normalisation,[status(thm)],[c_4992,c_5587]) ).
cnf(c_11109,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c3,sk_c3) = multiply(sk_c2,sk_c7) ),
inference(superposition,[status(thm)],[c_66,c_951]) ).
cnf(c_11309,plain,
( multiply(sk_c3,sk_c3) != sk_c8
| inverse(sk_c2) != sk_c8
| ~ sP2_iProver_split
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_11109,c_374]) ).
cnf(c_11873,plain,
( sk_c8 = sk_c6
| sk_c7 = sk_c4 ),
inference(superposition,[status(thm)],[c_5591,c_10265]) ).
cnf(c_12303,plain,
( inverse(sk_c8) = identity
| sk_c7 = sk_c4 ),
inference(superposition,[status(thm)],[c_11873,c_6709]) ).
cnf(c_12307,plain,
( sk_c8 = identity
| sk_c7 = sk_c4 ),
inference(superposition,[status(thm)],[c_11873,c_5588]) ).
cnf(c_12319,plain,
( sk_c7 = sk_c4
| sk_c4 = identity ),
inference(light_normalisation,[status(thm)],[c_12303,c_5584]) ).
cnf(c_12413,plain,
( sk_c8 = identity
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_12307,c_5596]) ).
cnf(c_12418,plain,
( multiply(sk_c7,sk_c8) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_12307,c_5583]) ).
cnf(c_12600,plain,
( sk_c4 = identity
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_12319,c_5596]) ).
cnf(c_13881,plain,
( inverse(sk_c6) != sk_c8
| ~ sP0_iProver_split
| sk_c7 = sk_c4 ),
inference(global_subsumption_just,[status(thm)],[c_6701,c_5589,c_6701]) ).
cnf(c_13890,plain,
( sk_c8 != identity
| ~ sP0_iProver_split
| sk_c7 = sk_c4 ),
inference(superposition,[status(thm)],[c_6709,c_13881]) ).
cnf(c_15941,plain,
( sk_c8 = sk_c7
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_6625,c_1398]) ).
cnf(c_16003,plain,
( multiply(inverse(sk_c7),sk_c8) = inverse(sk_c3)
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_66,c_6903]) ).
cnf(c_16059,plain,
inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[status(thm)],[c_1444,c_6903]) ).
cnf(c_16060,plain,
inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c4),
inference(superposition,[status(thm)],[c_5582,c_6903]) ).
cnf(c_16106,plain,
( inverse(inverse(multiply(sk_c8,X0))) != sk_c8
| inverse(X0) != sk_c7
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_6903,c_372]) ).
cnf(c_17234,plain,
( multiply(sk_c8,inverse(sk_c3)) != sk_c7
| inverse(inverse(sk_c7)) != sk_c8
| ~ sP1_iProver_split
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_16003,c_373]) ).
cnf(c_17631,plain,
( inverse(multiply(inverse(X0),sk_c4)) != sk_c8
| inverse(X0) != sk_c7
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_16106,c_16060]) ).
cnf(c_17632,plain,
( multiply(sk_c8,X0) != sk_c8
| inverse(X0) != sk_c7
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_17631,c_5563,c_16059]) ).
cnf(c_17651,plain,
( inverse(sk_c8) != sk_c7
| sk_c8 != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_5571,c_17632]) ).
cnf(c_17736,plain,
( sk_c8 != sk_c7
| sk_c7 != sk_c4
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_17651,c_5584]) ).
cnf(c_18021,plain,
( ~ sP0_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_726,c_5418,c_12307,c_13890,c_17736]) ).
cnf(c_18062,plain,
( inverse(sk_c3) != sk_c8
| sk_c8 != sk_c7
| ~ sP2_iProver_split
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_9215,c_374]) ).
cnf(c_18148,plain,
( inverse(sk_c7) != sk_c8
| sk_c8 != sk_c7
| ~ sP2_iProver_split
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_9567,c_374]) ).
cnf(c_18154,plain,
( sk_c8 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_9567,c_2245]) ).
cnf(c_18257,plain,
( multiply(sk_c8,identity) = sk_c7
| inverse(sk_c1) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_18154,c_61]) ).
cnf(c_18353,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_18257,c_78,c_74,c_59,c_53,c_49,c_68,c_64,c_61,c_385,c_375,c_732,c_805,c_846,c_845,c_835,c_918,c_2305,c_2545,c_3733,c_3815,c_4925,c_5552,c_12413,c_18021]) ).
cnf(c_18362,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_18353,c_1138]) ).
cnf(c_18366,plain,
( inverse(sk_c8) = sk_c1
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_18353,c_1446]) ).
cnf(c_18369,plain,
( sk_c8 = identity
| sk_c4 = sk_c1 ),
inference(light_normalisation,[status(thm)],[c_18366,c_5584]) ).
cnf(c_18400,plain,
( sk_c8 != sk_c7
| sk_c6 = identity ),
inference(global_subsumption_just,[status(thm)],[c_18062,c_2243,c_5745,c_18148]) ).
cnf(c_18404,plain,
sk_c6 = identity,
inference(forward_subsumption_resolution,[status(thm)],[c_18400,c_15941]) ).
cnf(c_18467,plain,
( ~ sP0_iProver_split
| multiply(sk_c8,identity) = sk_c7 ),
inference(demodulation,[status(thm)],[c_7848,c_18404]) ).
cnf(c_18503,plain,
( multiply(sk_c8,identity) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
inference(demodulation,[status(thm)],[c_71,c_18404]) ).
cnf(c_18504,plain,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c8,identity) = sk_c7 ),
inference(demodulation,[status(thm)],[c_66,c_18404]) ).
cnf(c_18505,plain,
( multiply(sk_c8,identity) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(demodulation,[status(thm)],[c_56,c_18404]) ).
cnf(c_18608,plain,
( multiply(sk_c2,sk_c8) = sk_c3
| sk_c8 = sk_c7 ),
inference(demodulation,[status(thm)],[c_18503,c_1398]) ).
cnf(c_18615,plain,
( sk_c8 = sk_c7
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_18608,c_5706]) ).
cnf(c_18619,plain,
( multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sk_c3,X0)
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_18608,c_82]) ).
cnf(c_18636,plain,
( multiply(sk_c8,sk_c3) = sk_c7
| sk_c8 = sk_c7 ),
inference(demodulation,[status(thm)],[c_18504,c_1398]) ).
cnf(c_18670,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = sk_c7 ),
inference(demodulation,[status(thm)],[c_18505,c_1398]) ).
cnf(c_18677,plain,
( sk_c8 = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_18670,c_5437]) ).
cnf(c_18681,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_18670,c_82]) ).
cnf(c_18819,plain,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_18369,c_55]) ).
cnf(c_18827,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| sk_c8 = identity
| sk_c7 = identity ),
inference(light_normalisation,[status(thm)],[c_18819,c_5583]) ).
cnf(c_18849,plain,
( ~ sP0_iProver_split
| sk_c8 = sk_c7 ),
inference(demodulation,[status(thm)],[c_18467,c_1398]) ).
cnf(c_18855,plain,
( sk_c8 != identity
| ~ sP0_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_5764,c_18849]) ).
cnf(c_18894,plain,
( multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sk_c3,X0)
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_5710,c_18619]) ).
cnf(c_18933,plain,
( multiply(sk_c3,X0) = X0
| sk_c8 = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_18894,c_5582]) ).
cnf(c_19009,plain,
( multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_5929,c_18681]) ).
cnf(c_19049,plain,
( multiply(sk_c7,X0) = X0
| sk_c8 = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_19009,c_5582]) ).
cnf(c_19074,plain,
( multiply(sk_c8,identity) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_18615,c_18636]) ).
cnf(c_19124,plain,
( sk_c8 != identity
| ~ sP2_iProver_split
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_18677,c_5790]) ).
cnf(c_19130,plain,
( ~ sP1_iProver_split
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_18677,c_2110]) ).
cnf(c_19132,plain,
( multiply(X0,sk_c8) != sk_c8
| inverse(X0) != sk_c8
| ~ sP2_iProver_split
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_18677,c_374]) ).
cnf(c_19230,plain,
~ sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_19130,c_848,c_1470,c_2110,c_19074]) ).
cnf(c_19232,plain,
( sk_c4 = identity
| sP0_iProver_split
| sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_12600,c_19230]) ).
cnf(c_19233,plain,
( sk_c8 = identity
| sP0_iProver_split
| sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_12413,c_19230]) ).
cnf(c_19234,plain,
( sk_c7 != sk_c4
| sP0_iProver_split
| sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_5596,c_19230]) ).
cnf(c_20301,plain,
( ~ sP2_iProver_split
| sk_c7 = identity ),
inference(global_subsumption_just,[status(thm)],[c_19132,c_74,c_59,c_49,c_64,c_385,c_375,c_732,c_846,c_918,c_3815,c_5552,c_7507,c_18827,c_19124]) ).
cnf(c_20307,plain,
( sk_c8 = identity
| sk_c7 = identity
| sP0_iProver_split ),
inference(superposition,[status(thm)],[c_19233,c_20301]) ).
cnf(c_20999,plain,
( multiply(sk_c3,sk_c3) != sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_11309,c_76,c_51,c_375,c_848,c_1470,c_2110,c_7848,c_11309,c_19074]) ).
cnf(c_21001,plain,
( multiply(sk_c3,sk_c3) != sk_c8
| multiply(sk_c8,identity) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_20999,c_18404]) ).
cnf(c_21002,plain,
( multiply(sk_c3,sk_c3) != sk_c8
| sk_c8 = sk_c7 ),
inference(demodulation,[status(thm)],[c_21001,c_1398]) ).
cnf(c_21007,plain,
( sk_c8 != sk_c3
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_18933,c_21002]) ).
cnf(c_21206,plain,
( sk_c8 != identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_18615,c_21007]) ).
cnf(c_21218,plain,
( sk_c8 != identity
| ~ sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_5790,c_21206]) ).
cnf(c_21253,plain,
( sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_19049,c_12418]) ).
cnf(c_21299,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_17234,c_74,c_59,c_49,c_64,c_51,c_385,c_375,c_732,c_848,c_846,c_918,c_1470,c_2110,c_3815,c_5552,c_7507,c_7848,c_18362,c_19074,c_21218,c_21253]) ).
cnf(c_21301,plain,
multiply(sk_c8,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_21299,c_18404]) ).
cnf(c_21302,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm)],[c_21301,c_1398]) ).
cnf(c_21317,plain,
( sk_c8 = identity
| sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_20307,c_21302]) ).
cnf(c_21330,plain,
( sk_c8 != sk_c4
| sP0_iProver_split
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_19234,c_21302]) ).
cnf(c_21372,plain,
( ~ sP0_iProver_split
| multiply(sk_c4,sk_c8) = sk_c8 ),
inference(demodulation,[status(thm)],[c_7854,c_21302]) ).
cnf(c_21406,plain,
( ~ sP0_iProver_split
| sk_c8 = identity ),
inference(light_normalisation,[status(thm)],[c_21372,c_5583]) ).
cnf(c_21409,plain,
sk_c8 = identity,
inference(backward_subsumption_resolution,[status(thm)],[c_21317,c_21406]) ).
cnf(c_21497,plain,
~ sP2_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_21218,c_21409]) ).
cnf(c_21498,plain,
~ sP0_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_18855,c_21409]) ).
cnf(c_21510,plain,
( sk_c8 != sk_c4
| sP0_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_21330,c_21497]) ).
cnf(c_21513,plain,
( sk_c4 = identity
| sP0_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_19232,c_21497]) ).
cnf(c_21516,plain,
sk_c4 = identity,
inference(backward_subsumption_resolution,[status(thm)],[c_21513,c_21498]) ).
cnf(c_21517,plain,
sk_c8 != sk_c4,
inference(backward_subsumption_resolution,[status(thm)],[c_21510,c_21498]) ).
cnf(c_21575,plain,
identity != identity,
inference(light_normalisation,[status(thm)],[c_21517,c_21409,c_21516]) ).
cnf(c_21576,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_21575]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP233-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 23:56:43 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.85/1.14 % SZS status Started for theBenchmark.p
% 3.85/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.14
% 3.85/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.85/1.14
% 3.85/1.14 ------ iProver source info
% 3.85/1.14
% 3.85/1.14 git: date: 2023-05-31 18:12:56 +0000
% 3.85/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.85/1.14 git: non_committed_changes: false
% 3.85/1.14 git: last_make_outside_of_git: false
% 3.85/1.14
% 3.85/1.14 ------ Parsing...successful
% 3.85/1.14
% 3.85/1.14
% 3.85/1.14
% 3.85/1.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.85/1.14
% 3.85/1.14 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.85/1.14
% 3.85/1.14 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.85/1.14 ------ Proving...
% 3.85/1.14 ------ Problem Properties
% 3.85/1.14
% 3.85/1.14
% 3.85/1.14 clauses 37
% 3.85/1.14 conjectures 34
% 3.85/1.14 EPR 0
% 3.85/1.14 Horn 6
% 3.85/1.14 unary 3
% 3.85/1.14 binary 30
% 3.85/1.14 lits 76
% 3.85/1.14 lits eq 70
% 3.85/1.14 fd_pure 0
% 3.85/1.14 fd_pseudo 0
% 3.85/1.14 fd_cond 0
% 3.85/1.14 fd_pseudo_cond 0
% 3.85/1.14 AC symbols 0
% 3.85/1.14
% 3.85/1.14 ------ Schedule dynamic 5 is on
% 3.85/1.14
% 3.85/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.85/1.14
% 3.85/1.14
% 3.85/1.14 ------
% 3.85/1.14 Current options:
% 3.85/1.14 ------
% 3.85/1.14
% 3.85/1.14
% 3.85/1.14
% 3.85/1.14
% 3.85/1.14 ------ Proving...
% 3.85/1.14
% 3.85/1.14
% 3.85/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.14
% 3.85/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.85/1.14
% 3.85/1.15
%------------------------------------------------------------------------------