TSTP Solution File: KLE010+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE010+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 : 600s
% DateTime : Sun Jul 17 01:49:31 EDT 2022
% Result : Theorem 9.63s 2.62s
% Output : CNFRefutation 9.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of clauses : 103 ( 66 unt; 0 nHn; 66 RR)
% Number of literals : 146 ( 93 equ; 50 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 108 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_22,plain,
( multiplication(X1,X2) = zero
| ~ complement(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_22) ).
cnf(i_0_24,plain,
( complement(X1,X2)
| c(X1) != X2
| ~ test(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_24) ).
cnf(i_0_1,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_1) ).
cnf(i_0_3,plain,
addition(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_3) ).
cnf(i_0_20,plain,
( addition(X1,X2) = one
| ~ complement(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_20) ).
cnf(i_0_18,plain,
( complement(esk3_1(X1),X1)
| ~ test(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_18) ).
cnf(i_0_7,negated_conjecture,
test(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_7) ).
cnf(i_0_4,plain,
addition(X1,zero) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_4) ).
cnf(i_0_2,plain,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_2) ).
cnf(i_0_6,negated_conjecture,
test(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_6) ).
cnf(i_0_21,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_21) ).
cnf(i_0_9,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_9) ).
cnf(i_0_17,plain,
( test(X1)
| ~ complement(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_17) ).
cnf(i_0_11,plain,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_11) ).
cnf(i_0_16,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_16) ).
cnf(i_0_12,plain,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_12) ).
cnf(i_0_5,negated_conjecture,
( ~ leq(one,addition(addition(addition(addition(multiplication(esk2_0,esk1_0),multiplication(c(esk2_0),esk1_0)),multiplication(esk1_0,esk2_0)),multiplication(c(esk1_0),esk2_0)),multiplication(c(esk1_0),c(esk2_0))))
| ~ leq(addition(addition(addition(addition(multiplication(esk2_0,esk1_0),multiplication(c(esk2_0),esk1_0)),multiplication(esk1_0,esk2_0)),multiplication(c(esk1_0),esk2_0)),multiplication(c(esk1_0),c(esk2_0))),one) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_5) ).
cnf(i_0_13,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_13) ).
cnf(i_0_10,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4j95mjme/lgb.p',i_0_10) ).
cnf(c_0_44,plain,
( multiplication(X1,X2) = zero
| ~ complement(X2,X1) ),
i_0_22 ).
cnf(c_0_45,plain,
( complement(X1,X2)
| c(X1) != X2
| ~ test(X1) ),
i_0_24 ).
cnf(c_0_46,plain,
( multiplication(X1,X2) = zero
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_47,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
i_0_1 ).
cnf(c_0_48,plain,
addition(X1,X1) = X1,
i_0_3 ).
cnf(c_0_49,plain,
( addition(X1,X2) = one
| ~ complement(X2,X1) ),
i_0_20 ).
cnf(c_0_50,plain,
( complement(esk3_1(X1),X1)
| ~ test(X1) ),
i_0_18 ).
cnf(c_0_51,plain,
( multiplication(c(X1),X1) = zero
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_46]) ).
cnf(c_0_52,negated_conjecture,
test(esk2_0),
i_0_7 ).
cnf(c_0_53,plain,
addition(X1,zero) = X1,
i_0_4 ).
cnf(c_0_54,plain,
addition(X1,X2) = addition(X2,X1),
i_0_2 ).
cnf(c_0_55,negated_conjecture,
test(esk1_0),
i_0_6 ).
cnf(c_0_56,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
i_0_21 ).
cnf(c_0_57,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_58,plain,
( addition(X1,esk3_1(X1)) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_59,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
i_0_9 ).
cnf(c_0_60,negated_conjecture,
multiplication(c(esk2_0),esk2_0) = zero,
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_61,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,plain,
( addition(X1,X2) = one
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_45]) ).
cnf(c_0_63,plain,
( test(X1)
| ~ complement(X2,X1) ),
i_0_17 ).
cnf(c_0_64,negated_conjecture,
multiplication(c(esk1_0),esk1_0) = zero,
inference(spm,[status(thm)],[c_0_51,c_0_55]) ).
cnf(c_0_65,plain,
( multiplication(X1,X2) = zero
| c(X1) != X2
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_45]) ).
cnf(c_0_66,plain,
( addition(X1,one) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_67,plain,
multiplication(addition(c(esk2_0),X1),esk2_0) = multiplication(X1,esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_68,plain,
( addition(X1,c(X1)) = one
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_62]),c_0_54]) ).
cnf(c_0_69,plain,
multiplication(one,X1) = X1,
i_0_11 ).
cnf(c_0_70,plain,
( test(X1)
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_45]) ).
cnf(c_0_71,plain,
multiplication(addition(c(esk1_0),X1),esk1_0) = multiplication(X1,esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_64]),c_0_61]) ).
cnf(c_0_72,plain,
( multiplication(X1,c(X1)) = zero
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_65]) ).
cnf(c_0_73,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_54,c_0_47]) ).
cnf(c_0_74,negated_conjecture,
addition(esk1_0,one) = one,
inference(spm,[status(thm)],[c_0_66,c_0_55]) ).
cnf(c_0_75,plain,
( multiplication(c(c(esk2_0)),esk2_0) = esk2_0
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_76,plain,
( test(c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_70]) ).
cnf(c_0_77,plain,
( multiplication(c(c(esk1_0)),esk1_0) = esk1_0
| ~ test(c(esk1_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_68]),c_0_69]) ).
cnf(c_0_78,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
i_0_16 ).
cnf(c_0_79,negated_conjecture,
multiplication(esk1_0,c(esk1_0)) = zero,
inference(spm,[status(thm)],[c_0_72,c_0_55]) ).
cnf(c_0_80,plain,
addition(esk1_0,addition(one,X1)) = addition(X1,one),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_73]) ).
cnf(c_0_81,plain,
multiplication(X1,one) = X1,
i_0_12 ).
cnf(c_0_82,plain,
multiplication(c(c(esk2_0)),esk2_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_52])]) ).
cnf(c_0_83,plain,
multiplication(c(c(esk1_0)),esk1_0) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_76]),c_0_55])]) ).
cnf(c_0_84,plain,
addition(multiplication(X1,esk2_0),multiplication(addition(c(esk2_0),X1),X2)) = multiplication(addition(c(esk2_0),X1),addition(esk2_0,X2)),
inference(spm,[status(thm)],[c_0_78,c_0_67]) ).
cnf(c_0_85,plain,
multiplication(addition(X1,esk1_0),c(esk1_0)) = multiplication(X1,c(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_79]),c_0_53]) ).
cnf(c_0_86,plain,
addition(esk1_0,addition(X1,one)) = addition(X1,one),
inference(spm,[status(thm)],[c_0_57,c_0_80]) ).
cnf(c_0_87,plain,
( addition(X1,addition(c(X1),X2)) = addition(one,X2)
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_68]) ).
cnf(c_0_88,negated_conjecture,
( ~ leq(one,addition(addition(addition(addition(multiplication(esk2_0,esk1_0),multiplication(c(esk2_0),esk1_0)),multiplication(esk1_0,esk2_0)),multiplication(c(esk1_0),esk2_0)),multiplication(c(esk1_0),c(esk2_0))))
| ~ leq(addition(addition(addition(addition(multiplication(esk2_0,esk1_0),multiplication(c(esk2_0),esk1_0)),multiplication(esk1_0,esk2_0)),multiplication(c(esk1_0),esk2_0)),multiplication(c(esk1_0),c(esk2_0))),one) ),
i_0_5 ).
cnf(c_0_89,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_81]),c_0_54]) ).
cnf(c_0_90,negated_conjecture,
addition(esk2_0,one) = one,
inference(spm,[status(thm)],[c_0_66,c_0_52]) ).
cnf(c_0_91,plain,
addition(esk2_0,multiplication(c(c(esk2_0)),X1)) = multiplication(c(c(esk2_0)),addition(esk2_0,X1)),
inference(spm,[status(thm)],[c_0_78,c_0_82]) ).
cnf(c_0_92,plain,
( multiplication(c(c(X1)),c(X1)) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_76]) ).
cnf(c_0_93,plain,
addition(esk1_0,multiplication(c(c(esk1_0)),X1)) = multiplication(c(c(esk1_0)),addition(esk1_0,X1)),
inference(spm,[status(thm)],[c_0_78,c_0_83]) ).
cnf(c_0_94,plain,
multiplication(addition(esk1_0,c(esk2_0)),addition(esk2_0,c(esk1_0))) = addition(multiplication(esk1_0,esk2_0),multiplication(c(esk2_0),c(esk1_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_54]) ).
cnf(c_0_95,plain,
addition(one,c(esk1_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_48]),c_0_54]),c_0_55])]) ).
cnf(c_0_96,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_54]),c_0_47]) ).
cnf(c_0_97,negated_conjecture,
( ~ leq(one,addition(multiplication(c(esk1_0),c(esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk1_0)))))
| ~ leq(addition(multiplication(c(esk1_0),c(esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk1_0)))),one) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_54]),c_0_54]),c_0_54]),c_0_54]),c_0_54]),c_0_54]),c_0_59]),c_0_59]) ).
cnf(c_0_98,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
i_0_13 ).
cnf(c_0_99,plain,
( addition(X1,addition(X2,c(addition(X1,X2)))) = one
| ~ test(addition(X1,X2)) ),
inference(spm,[status(thm)],[c_0_47,c_0_68]) ).
cnf(c_0_100,plain,
addition(esk2_0,c(c(esk2_0))) = c(c(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_82]),c_0_90]),c_0_81]),c_0_54]) ).
cnf(c_0_101,plain,
multiplication(c(c(esk2_0)),addition(esk2_0,c(esk2_0))) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_53]),c_0_52])]) ).
cnf(c_0_102,plain,
addition(esk1_0,c(c(esk1_0))) = c(c(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_83]),c_0_74]),c_0_81]),c_0_54]) ).
cnf(c_0_103,plain,
multiplication(c(c(esk1_0)),addition(esk1_0,c(esk1_0))) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_92]),c_0_53]),c_0_55])]) ).
cnf(c_0_104,plain,
multiplication(addition(X1,c(esk2_0)),esk2_0) = multiplication(X1,esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_53]) ).
cnf(c_0_105,plain,
multiplication(addition(esk1_0,X1),c(esk1_0)) = multiplication(X1,c(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_79]),c_0_61]) ).
cnf(c_0_106,plain,
addition(esk1_0,addition(multiplication(esk1_0,esk2_0),c(esk2_0))) = addition(esk1_0,c(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_94]),c_0_47]),c_0_47]),c_0_54]),c_0_95]),c_0_90]),c_0_81]),c_0_96]),c_0_89]),c_0_54]),c_0_95]),c_0_81]) ).
cnf(c_0_107,negated_conjecture,
addition(esk2_0,addition(X1,one)) = addition(X1,one),
inference(spm,[status(thm)],[c_0_96,c_0_90]) ).
cnf(c_0_108,negated_conjecture,
( addition(multiplication(c(esk1_0),c(esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),addition(one,multiplication(addition(esk2_0,c(esk2_0)),esk1_0))))) != one
| ~ leq(one,addition(multiplication(c(esk1_0),c(esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk1_0))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_47]),c_0_47]),c_0_47]),c_0_54]) ).
cnf(c_0_109,plain,
( addition(esk2_0,addition(c(c(esk2_0)),c(c(c(esk2_0))))) = one
| ~ test(c(c(esk2_0))) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_110,plain,
c(c(esk2_0)) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_68]),c_0_81]),c_0_52])]) ).
cnf(c_0_111,plain,
( addition(esk1_0,addition(c(c(esk1_0)),c(c(c(esk1_0))))) = one
| ~ test(c(c(esk1_0))) ),
inference(spm,[status(thm)],[c_0_99,c_0_102]) ).
cnf(c_0_112,plain,
c(c(esk1_0)) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_68]),c_0_81]),c_0_55])]) ).
cnf(c_0_113,plain,
addition(multiplication(X1,esk2_0),multiplication(addition(X1,c(esk2_0)),X2)) = multiplication(addition(X1,c(esk2_0)),addition(esk2_0,X2)),
inference(spm,[status(thm)],[c_0_78,c_0_104]) ).
cnf(c_0_114,plain,
multiplication(addition(multiplication(esk1_0,esk2_0),c(esk2_0)),c(esk1_0)) = multiplication(c(esk2_0),c(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_105]) ).
cnf(c_0_115,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
i_0_10 ).
cnf(c_0_116,plain,
multiplication(esk2_0,esk2_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_68]),c_0_69]),c_0_52])]) ).
cnf(c_0_117,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_69]),c_0_54]) ).
cnf(c_0_118,negated_conjecture,
addition(one,c(esk2_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_87]),c_0_48]),c_0_54]),c_0_52])]) ).
cnf(c_0_119,negated_conjecture,
( addition(one,addition(multiplication(esk1_0,esk2_0),addition(multiplication(addition(esk2_0,c(esk2_0)),esk1_0),multiplication(c(esk1_0),addition(esk2_0,c(esk2_0)))))) != one
| ~ leq(one,addition(multiplication(esk1_0,esk2_0),addition(multiplication(addition(esk2_0,c(esk2_0)),esk1_0),multiplication(c(esk1_0),addition(esk2_0,c(esk2_0)))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_73]),c_0_73]),c_0_54]),c_0_47]),c_0_47]),c_0_73]),c_0_47]),c_0_47]),c_0_78]),c_0_54]),c_0_73]),c_0_47]),c_0_73]),c_0_47]),c_0_78]),c_0_54]) ).
cnf(c_0_120,plain,
addition(esk2_0,c(esk2_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110]),c_0_110]),c_0_57]),c_0_110]),c_0_52])]) ).
cnf(c_0_121,plain,
addition(esk1_0,c(esk1_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112]),c_0_112]),c_0_57]),c_0_112]),c_0_55])]) ).
cnf(c_0_122,plain,
multiplication(addition(multiplication(esk1_0,esk2_0),c(esk2_0)),addition(esk2_0,c(esk1_0))) = addition(multiplication(esk1_0,esk2_0),multiplication(c(esk2_0),c(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_116]) ).
cnf(c_0_123,plain,
addition(esk2_0,addition(multiplication(esk1_0,esk2_0),c(esk1_0))) = addition(esk2_0,c(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_94]),c_0_47]),c_0_47]),c_0_54]),c_0_118]),c_0_74]),c_0_69]),c_0_96]),c_0_117]),c_0_54]),c_0_118]),c_0_69]) ).
cnf(c_0_124,negated_conjecture,
( addition(one,multiplication(esk1_0,esk2_0)) != one
| ~ leq(one,addition(one,multiplication(esk1_0,esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_120]),c_0_69]),c_0_120]),c_0_81]),c_0_121]),c_0_54]),c_0_57]),c_0_120]),c_0_69]),c_0_120]),c_0_81]),c_0_121]),c_0_54]) ).
cnf(c_0_125,plain,
multiplication(addition(one,multiplication(esk1_0,esk2_0)),addition(esk2_0,c(esk1_0))) = addition(esk2_0,c(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_122]),c_0_47]),c_0_96]),c_0_117]),c_0_54]),c_0_118]),c_0_69]),c_0_123]),c_0_47]),c_0_54]),c_0_118]),c_0_54]) ).
cnf(c_0_126,plain,
addition(one,multiplication(esk1_0,esk2_0)) != one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_98]),c_0_57])]) ).
cnf(c_0_127,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_125]),c_0_47]),c_0_96]),c_0_123]),c_0_96]),c_0_95]),c_0_90]),c_0_47]),c_0_54]),c_0_95]),c_0_90]),c_0_81]),c_0_126]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KLE010+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 14:33:27 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected SinE mode:
% 0.20/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.63/2.62 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.63/2.62 # No SInE strategy applied
% 9.63/2.62 # Trying AutoSched0 for 150 seconds
% 9.63/2.62 # AutoSched0-Mode selected heuristic G_E___042_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 9.63/2.62 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.63/2.62 #
% 9.63/2.62 # Preprocessing time : 0.013 s
% 9.63/2.62 # Presaturation interreduction done
% 9.63/2.62
% 9.63/2.62 # Proof found!
% 9.63/2.62 # SZS status Theorem
% 9.63/2.62 # SZS output start CNFRefutation
% See solution above
% 9.63/2.62 # Training examples: 0 positive, 0 negative
% 9.63/2.62
% 9.63/2.62 # -------------------------------------------------
% 9.63/2.62 # User time : 0.120 s
% 9.63/2.62 # System time : 0.011 s
% 9.63/2.62 # Total time : 0.131 s
% 9.63/2.62 # Maximum resident set size: 7128 pages
% 9.63/2.62
%------------------------------------------------------------------------------