%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE170+1.006 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 01:50:43 EDT 2022
% Result : Theorem 90.81s 13.18s
% Output : CNFRefutation 90.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 16
% Syntax : Number of clauses : 124 ( 99 unt; 0 nHn; 29 RR)
% Number of literals : 149 ( 93 equ; 27 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 234 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
addition(X1,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5z8ntitf/input.p',i_0_4) ).
cnf(i_0_2,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5z8ntitf/input.p',i_0_2) ).
cnf(i_0_12,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5z8ntitf/input.p',i_0_12) ).
cnf(i_0_18,plain,
leq(addition(one,multiplication(X1,star(X1))),star(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5z8ntitf/input.p',i_0_18) ).
cnf(i_0_3,plain,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5z8ntitf/input.p',i_0_3) ).
cnf(i_0_7,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5z8ntitf/input.p',i_0_7) ).
cnf(i_0_9,plain,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5z8ntitf/input.p',i_0_9) ).
cnf(i_0_14,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5z8ntitf/input.p',i_0_14) ).
cnf(i_0_10,plain,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5z8ntitf/input.p',i_0_10) ).
cnf(i_0_17,plain,
leq(addition(one,multiplication(star(X1),X1)),star(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5z8ntitf/input.p',i_0_17) ).
cnf(i_0_15,plain,
( leq(multiplication(star(X1),X2),X3)
| ~ leq(addition(multiplication(X1,X3),X2),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5z8ntitf/input.p',i_0_15) ).
cnf(i_0_8,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5z8ntitf/input.p',i_0_8) ).
cnf(i_0_16,plain,
( leq(multiplication(X1,star(X2)),X3)
| ~ leq(addition(multiplication(X3,X2),X1),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5z8ntitf/input.p',i_0_16) ).
cnf(i_0_11,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5z8ntitf/input.p',i_0_11) ).
cnf(i_0_5,plain,
addition(X1,zero) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5z8ntitf/input.p',i_0_5) ).
cnf(i_0_1,negated_conjecture,
~ leq(multiplication(a,multiplication(a,multiplication(a,multiplication(a,multiplication(a,a))))),star(a)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5z8ntitf/input.p',i_0_1) ).
cnf(c_0_35,plain,
addition(X1,X1) = X1,
i_0_4 ).
cnf(c_0_36,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
i_0_2 ).
cnf(c_0_37,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
i_0_12 ).
cnf(c_0_38,plain,
leq(addition(one,multiplication(X1,star(X1))),star(X1)),
i_0_18 ).
cnf(c_0_39,plain,
addition(X1,X2) = addition(X2,X1),
i_0_3 ).
cnf(c_0_40,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
i_0_7 ).
cnf(c_0_41,plain,
multiplication(one,X1) = X1,
i_0_9 ).
cnf(c_0_42,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
i_0_14 ).
cnf(c_0_43,plain,
multiplication(X1,one) = X1,
i_0_10 ).
cnf(c_0_44,plain,
addition(X1,addition(X2,addition(X1,X2))) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_45,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_36,c_0_35]) ).
cnf(c_0_46,plain,
addition(one,addition(star(X1),multiplication(X1,star(X1)))) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_36]),c_0_39]) ).
cnf(c_0_47,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_39]) ).
cnf(c_0_48,plain,
leq(addition(one,multiplication(star(X1),X1)),star(X1)),
i_0_17 ).
cnf(c_0_49,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_39]) ).
cnf(c_0_50,plain,
( leq(multiplication(star(X1),X2),X3)
| ~ leq(addition(multiplication(X1,X3),X2),X3) ),
i_0_15 ).
cnf(c_0_51,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_39]),c_0_45]) ).
cnf(c_0_52,plain,
addition(one,multiplication(addition(X1,one),star(X1))) = star(X1),
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
addition(one,multiplication(star(X1),addition(X1,one))) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_48]),c_0_36]),c_0_39]),c_0_49]) ).
cnf(c_0_54,plain,
( leq(multiplication(star(X1),multiplication(X1,X2)),X2)
| ~ leq(multiplication(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_35]) ).
cnf(c_0_55,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
i_0_8 ).
cnf(c_0_56,plain,
multiplication(addition(X1,one),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_39]),c_0_47]),c_0_36]),c_0_35]) ).
cnf(c_0_57,plain,
multiplication(star(X1),addition(X1,one)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_53]),c_0_39]),c_0_49]),c_0_36]),c_0_35]) ).
cnf(c_0_58,plain,
( leq(multiplication(X1,star(X2)),X3)
| ~ leq(addition(multiplication(X3,X2),X1),X3) ),
i_0_16 ).
cnf(c_0_59,plain,
( addition(X1,multiplication(star(X2),multiplication(X2,X1))) = X1
| ~ leq(multiplication(X2,X1),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_54]),c_0_39]) ).
cnf(c_0_60,plain,
addition(X1,multiplication(X2,multiplication(X3,X1))) = multiplication(addition(one,multiplication(X2,X3)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_55]),c_0_39]) ).
cnf(c_0_61,plain,
multiplication(addition(one,X1),star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_56,c_0_39]) ).
cnf(c_0_62,plain,
addition(one,star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_45,c_0_53]) ).
cnf(c_0_63,plain,
multiplication(star(X1),addition(one,X1)) = star(X1),
inference(spm,[status(thm)],[c_0_57,c_0_39]) ).
cnf(c_0_64,plain,
( leq(multiplication(X1,star(X2)),X3)
| ~ leq(addition(X1,multiplication(X3,X2)),X3) ),
inference(spm,[status(thm)],[c_0_58,c_0_39]) ).
cnf(c_0_65,plain,
( leq(multiplication(X1,multiplication(X2,star(X2))),X1)
| ~ leq(multiplication(X1,X2),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_35]),c_0_55]) ).
cnf(c_0_66,plain,
( multiplication(addition(one,multiplication(star(X1),X1)),X2) = X2
| ~ leq(multiplication(X1,X2),X2) ),
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,plain,
multiplication(star(X1),star(star(X1))) = star(star(X1)),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_68,plain,
multiplication(star(star(X1)),star(X1)) = star(star(X1)),
inference(spm,[status(thm)],[c_0_63,c_0_62]) ).
cnf(c_0_69,plain,
leq(star(X1),star(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_48]),c_0_41]) ).
cnf(c_0_70,plain,
( multiplication(X1,addition(one,multiplication(X2,star(X2)))) = X1
| ~ leq(multiplication(X1,X2),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_65]),c_0_39]),c_0_49]),c_0_39]) ).
cnf(c_0_71,plain,
multiplication(star(star(X1)),star(star(X1))) = star(star(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_62]),c_0_69])]) ).
cnf(c_0_72,plain,
( leq(multiplication(X1,star(star(X2))),X1)
| ~ leq(multiplication(X1,star(X2)),X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_67]) ).
cnf(c_0_73,plain,
star(star(star(X1))) = star(star(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_67]),c_0_62]),c_0_67]),c_0_69])]) ).
cnf(c_0_74,plain,
multiplication(addition(X1,one),X1) = multiplication(X1,addition(X1,one)),
inference(spm,[status(thm)],[c_0_49,c_0_47]) ).
cnf(c_0_75,plain,
( multiplication(X1,star(star(X2))) = X1
| ~ leq(multiplication(X1,star(X2)),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_72]),c_0_73]),c_0_71]),c_0_62]) ).
cnf(c_0_76,plain,
multiplication(addition(one,X1),X1) = multiplication(X1,addition(one,X1)),
inference(spm,[status(thm)],[c_0_74,c_0_39]) ).
cnf(c_0_77,plain,
( star(star(X1)) = star(X1)
| ~ leq(multiplication(star(X1),star(X1)),star(X1)) ),
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_75,c_0_76]),c_0_62]),c_0_67]),c_0_62]),c_0_62]),c_0_62]) ).
cnf(c_0_78,plain,
( leq(multiplication(X1,star(X2)),X1)
| ~ leq(multiplication(X1,addition(X2,one)),X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_49]) ).
cnf(c_0_79,plain,
( multiplication(X1,star(one)) = X1
| ~ leq(X1,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_43]),c_0_41]),c_0_62]) ).
cnf(c_0_80,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
i_0_11 ).
cnf(c_0_81,plain,
multiplication(star(star(X1)),multiplication(star(star(X1)),X2)) = multiplication(star(star(X1)),X2),
inference(spm,[status(thm)],[c_0_55,c_0_71]) ).
cnf(c_0_82,plain,
star(star(X1)) = star(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_57]),c_0_69])]) ).
cnf(c_0_83,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_39,c_0_36]) ).
cnf(c_0_84,plain,
multiplication(X1,star(one)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_35])]) ).
cnf(c_0_85,plain,
multiplication(star(X1),multiplication(star(X1),X2)) = multiplication(star(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82]),c_0_82]),c_0_82]) ).
cnf(c_0_86,plain,
( leq(multiplication(X1,star(X2)),X3)
| addition(X3,addition(multiplication(X3,X2),X1)) != X3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_80]),c_0_36]),c_0_83]) ).
cnf(c_0_87,plain,
star(one) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_84]),c_0_35]),c_0_35]) ).
cnf(c_0_88,plain,
multiplication(star(X1),addition(X2,multiplication(star(X1),X3))) = multiplication(star(X1),addition(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_85]),c_0_42]) ).
cnf(c_0_89,plain,
( leq(multiplication(X1,multiplication(X2,star(X2))),X1)
| multiplication(X1,addition(X2,one)) != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_35]),c_0_55]),c_0_49]) ).
cnf(c_0_90,plain,
( leq(X1,X2)
| ~ leq(addition(X1,X2),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_43]),c_0_87]),c_0_43]) ).
cnf(c_0_91,plain,
addition(X1,multiplication(star(X2),addition(X1,X3))) = multiplication(star(X2),addition(X1,X3)),
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_47,c_0_88]),c_0_36]),c_0_42]),c_0_51]),c_0_39]),c_0_62]),c_0_88]) ).
cnf(c_0_92,plain,
leq(X1,X1),
inference(cn,[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_87]),c_0_41]),c_0_43]),c_0_35]),c_0_43])]) ).
cnf(c_0_93,plain,
leq(X1,multiplication(star(X2),addition(X1,X3))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).
cnf(c_0_94,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_39]),c_0_36]) ).
cnf(c_0_95,plain,
addition(X1,addition(X2,multiplication(X3,addition(X1,X2)))) = multiplication(addition(X3,one),addition(X1,X2)),
inference(spm,[status(thm)],[c_0_36,c_0_47]) ).
cnf(c_0_96,plain,
leq(X1,addition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_87]),c_0_41]) ).
cnf(c_0_97,plain,
addition(multiplication(X1,X2),addition(X3,multiplication(X1,X4))) = addition(X3,multiplication(X1,addition(X4,X2))),
inference(spm,[status(thm)],[c_0_83,c_0_42]) ).
cnf(c_0_98,plain,
addition(X1,addition(X2,multiplication(X3,addition(X2,X1)))) = multiplication(addition(X3,one),addition(X2,X1)),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_99,plain,
multiplication(star(X1),addition(X2,addition(X1,one))) = multiplication(star(X1),addition(X2,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_57]),c_0_39]),c_0_49]) ).
cnf(c_0_100,plain,
addition(X1,zero) = X1,
i_0_5 ).
cnf(c_0_101,plain,
addition(X1,multiplication(addition(X2,one),X3)) = addition(X3,addition(X1,multiplication(X2,X3))),
inference(spm,[status(thm)],[c_0_94,c_0_47]) ).
cnf(c_0_102,plain,
leq(multiplication(X1,X2),addition(X3,multiplication(X1,addition(X4,X2)))),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_103,plain,
addition(X1,multiplication(star(X1),addition(X2,one))) = multiplication(star(X1),addition(X2,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(spm,[status(thm)],[c_0_98,c_0_99]),c_0_36]),c_0_98]),c_0_39]),c_0_62]),c_0_39]),c_0_62]),c_0_99]) ).
cnf(c_0_104,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_100,c_0_39]) ).
cnf(c_0_105,plain,
addition(X1,addition(X2,addition(X1,multiplication(X3,X2)))) = addition(X2,addition(X1,multiplication(X3,X2))),
inference(spm,[status(thm)],[c_0_45,c_0_101]) ).
cnf(c_0_106,plain,
leq(multiplication(X1,X2),multiplication(X1,addition(X3,addition(X4,X2)))),
inference(spm,[status(thm)],[c_0_102,c_0_42]) ).
cnf(c_0_107,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X2,X1)),
inference(spm,[status(thm)],[c_0_83,c_0_39]) ).
cnf(c_0_108,plain,
addition(X1,star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_43]),c_0_43]) ).
cnf(c_0_109,plain,
addition(multiplication(X1,X2),addition(X3,multiplication(X1,addition(X2,X3)))) = addition(X3,multiplication(X1,addition(X2,X3))),
inference(spm,[status(thm)],[c_0_105,c_0_42]) ).
cnf(c_0_110,plain,
leq(multiplication(X1,X2),multiplication(X1,addition(X2,addition(X3,X4)))),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,plain,
addition(X1,addition(star(X1),X2)) = addition(star(X1),X2),
inference(spm,[status(thm)],[c_0_36,c_0_108]) ).
cnf(c_0_112,plain,
leq(multiplication(star(addition(X1,one)),star(X1)),star(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_56]),c_0_69])]) ).
cnf(c_0_113,plain,
addition(multiplication(X1,X2),multiplication(addition(X1,one),star(X2))) = multiplication(addition(X1,one),star(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_108]),c_0_47]),c_0_47]) ).
cnf(c_0_114,plain,
leq(multiplication(X1,X2),multiplication(X1,addition(star(X2),X3))),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_115,plain,
multiplication(star(star(addition(X1,one))),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_112]),c_0_68]),c_0_62]) ).
cnf(c_0_116,plain,
addition(multiplication(X1,X2),multiplication(X3,multiplication(X4,X2))) = multiplication(addition(X1,multiplication(X3,X4)),X2),
inference(spm,[status(thm)],[c_0_40,c_0_55]) ).
cnf(c_0_117,plain,
multiplication(star(X1),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_82]),c_0_82]),c_0_82]) ).
cnf(c_0_118,plain,
addition(multiplication(X1,X1),star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_113,c_0_56]) ).
cnf(c_0_119,plain,
( multiplication(X1,star(X2)) = X1
| ~ leq(multiplication(X1,addition(X2,one)),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_78]),c_0_39]),c_0_49]),c_0_39]),c_0_62]) ).
cnf(c_0_120,plain,
leq(multiplication(star(X1),X1),star(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_57]),c_0_82]),c_0_82]) ).
cnf(c_0_121,plain,
multiplication(star(addition(X1,one)),star(X1)) = star(X1),
inference(rw,[status(thm)],[c_0_115,c_0_82]) ).
cnf(c_0_122,plain,
addition(X1,addition(multiplication(X1,X2),X3)) = addition(X3,multiplication(X1,addition(X2,one))),
inference(spm,[status(thm)],[c_0_83,c_0_49]) ).
cnf(c_0_123,plain,
( leq(multiplication(star(X1),X2),X3)
| addition(X3,addition(multiplication(X1,X3),X2)) != X3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_80]),c_0_36]),c_0_83]) ).
cnf(c_0_124,plain,
multiplication(addition(star(X1),multiplication(X2,X3)),star(X1)) = multiplication(addition(one,multiplication(X2,X3)),star(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_60]) ).
cnf(c_0_125,plain,
addition(star(X1),multiplication(X1,X1)) = star(X1),
inference(spm,[status(thm)],[c_0_39,c_0_118]) ).
cnf(c_0_126,plain,
star(addition(X1,one)) = star(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).
cnf(c_0_127,plain,
addition(X1,addition(multiplication(X1,X2),multiplication(X3,addition(X2,one)))) = multiplication(addition(X3,X1),addition(X2,one)),
inference(spm,[status(thm)],[c_0_40,c_0_122]) ).
cnf(c_0_128,plain,
( leq(multiplication(star(X1),multiplication(X1,X2)),X2)
| multiplication(addition(X1,one),X2) != X2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_35]),c_0_47]) ).
cnf(c_0_129,plain,
multiplication(addition(one,multiplication(X1,X1)),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_117]) ).
cnf(c_0_130,plain,
star(addition(one,X1)) = star(X1),
inference(spm,[status(thm)],[c_0_126,c_0_39]) ).
cnf(c_0_131,plain,
addition(X1,addition(X2,addition(X1,X3))) = addition(X2,addition(X1,X3)),
inference(spm,[status(thm)],[c_0_45,c_0_83]) ).
cnf(c_0_132,plain,
addition(multiplication(X1,X1),addition(X2,star(X1))) = addition(X2,star(X1)),
inference(spm,[status(thm)],[c_0_94,c_0_118]) ).
cnf(c_0_133,plain,
addition(X1,addition(multiplication(X1,X2),star(X2))) = multiplication(addition(star(X2),X1),addition(X2,one)),
inference(spm,[status(thm)],[c_0_127,c_0_57]) ).
cnf(c_0_134,plain,
leq(multiplication(star(multiplication(X1,X1)),star(X1)),star(X1)),
inference(cn,[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_128,c_0_129]),c_0_130]),c_0_36]),c_0_39]),c_0_45]),c_0_129])]) ).
cnf(c_0_135,plain,
leq(X1,addition(X2,addition(X1,X3))),
inference(spm,[status(thm)],[c_0_96,c_0_131]) ).
cnf(c_0_136,plain,
addition(multiplication(X1,multiplication(X1,X1)),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_125]),c_0_57]),c_0_55]) ).
cnf(c_0_137,plain,
multiplication(star(multiplication(X1,X1)),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_134]),c_0_39]),c_0_47]),c_0_39]),c_0_62]) ).
cnf(c_0_138,plain,
leq(multiplication(X1,multiplication(X1,X1)),addition(X2,star(X1))),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_139,plain,
addition(star(X1),star(multiplication(X1,X1))) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_137]),c_0_39]),c_0_62]),c_0_137]),c_0_39]) ).
cnf(c_0_140,negated_conjecture,
~ leq(multiplication(a,multiplication(a,multiplication(a,multiplication(a,multiplication(a,a))))),star(a)),
i_0_1 ).
cnf(c_0_141,plain,
leq(multiplication(X1,multiplication(X1,multiplication(X1,multiplication(X1,multiplication(X1,X1))))),star(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_55]),c_0_55]) ).
cnf(c_0_142,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KLE170+1.006 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jun 16 11:32:34 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.43 # ENIGMATIC: Selected SinE mode:
% 0.17/0.44 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.17/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.17/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 90.81/13.18 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 90.81/13.18 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 31; version: 991; iters: 150)
% 90.81/13.18 # Preprocessing time : 1.856 s
% 90.81/13.18 # Presaturation interreduction done
% 90.81/13.18
% 90.81/13.18 # Proof found!
% 90.81/13.18 # SZS status Theorem
% 90.81/13.18 # SZS output start CNFRefutation
% See solution above
% 90.81/13.18 # Training examples: 0 positive, 0 negative
% 90.81/13.18
% 90.81/13.18 # -------------------------------------------------
% 90.81/13.18 # User time : 9.788 s
% 90.81/13.18 # System time : 0.248 s
% 90.81/13.18 # Total time : 10.036 s
% 90.81/13.18 # ...preprocessing : 1.856 s
% 90.81/13.18 # ...main loop : 8.180 s
% 90.81/13.18 # Maximum resident set size: 188084 pages
% 90.81/13.18
%------------------------------------------------------------------------------