TSTP Solution File: KLE039+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE039+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 01:49:48 EDT 2022
% Result : Theorem 9.46s 2.58s
% Output : CNFRefutation 9.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of clauses : 76 ( 51 unt; 0 nHn; 36 RR)
% Number of literals : 101 ( 50 equ; 30 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 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 : 113 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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-0re16ama/lgb.p',i_0_16) ).
cnf(i_0_9,plain,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0re16ama/lgb.p',i_0_9) ).
cnf(i_0_4,plain,
addition(X1,zero) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0re16ama/lgb.p',i_0_4) ).
cnf(i_0_2,plain,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0re16ama/lgb.p',i_0_2) ).
cnf(i_0_18,plain,
leq(addition(one,multiplication(X1,star(X1))),star(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0re16ama/lgb.p',i_0_18) ).
cnf(i_0_6,plain,
multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0re16ama/lgb.p',i_0_6) ).
cnf(i_0_12,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0re16ama/lgb.p',i_0_12) ).
cnf(i_0_11,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0re16ama/lgb.p',i_0_11) ).
cnf(i_0_3,plain,
addition(X1,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0re16ama/lgb.p',i_0_3) ).
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-0re16ama/lgb.p',i_0_15) ).
cnf(i_0_1,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0re16ama/lgb.p',i_0_1) ).
cnf(i_0_17,plain,
leq(addition(one,multiplication(star(X1),X1)),star(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0re16ama/lgb.p',i_0_17) ).
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-0re16ama/lgb.p',i_0_14) ).
cnf(i_0_10,plain,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0re16ama/lgb.p',i_0_10) ).
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-0re16ama/lgb.p',i_0_7) ).
cnf(i_0_5,negated_conjecture,
( ~ leq(star(esk1_0),star(star(esk1_0)))
| ~ leq(star(star(esk1_0)),star(esk1_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0re16ama/lgb.p',i_0_5) ).
cnf(i_0_8,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0re16ama/lgb.p',i_0_8) ).
cnf(c_0_36,plain,
( leq(multiplication(X1,star(X2)),X3)
| ~ leq(addition(multiplication(X3,X2),X1),X3) ),
i_0_16 ).
cnf(c_0_37,plain,
multiplication(one,X1) = X1,
i_0_9 ).
cnf(c_0_38,plain,
( leq(multiplication(X1,star(X2)),one)
| ~ leq(addition(X2,X1),one) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,plain,
addition(X1,zero) = X1,
i_0_4 ).
cnf(c_0_40,plain,
addition(X1,X2) = addition(X2,X1),
i_0_2 ).
cnf(c_0_41,plain,
leq(addition(one,multiplication(X1,star(X1))),star(X1)),
i_0_18 ).
cnf(c_0_42,plain,
multiplication(zero,X1) = zero,
i_0_6 ).
cnf(c_0_43,plain,
( leq(star(X1),one)
| ~ leq(addition(X1,one),one) ),
inference(spm,[status(thm)],[c_0_38,c_0_37]) ).
cnf(c_0_44,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
i_0_12 ).
cnf(c_0_46,plain,
leq(one,star(zero)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_39]) ).
cnf(c_0_47,plain,
( leq(star(zero),one)
| ~ leq(one,one) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,plain,
addition(one,star(zero)) = star(zero),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,plain,
( star(zero) = one
| ~ leq(one,one) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_47]),c_0_40]),c_0_48]) ).
cnf(c_0_50,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
i_0_11 ).
cnf(c_0_51,plain,
addition(X1,X1) = X1,
i_0_3 ).
cnf(c_0_52,plain,
star(zero) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).
cnf(c_0_53,plain,
leq(one,one),
inference(rw,[status(thm)],[c_0_46,c_0_52]) ).
cnf(c_0_54,plain,
leq(star(one),one),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_51]),c_0_53])]) ).
cnf(c_0_55,plain,
( leq(multiplication(star(X1),X2),X3)
| ~ leq(addition(multiplication(X1,X3),X2),X3) ),
i_0_15 ).
cnf(c_0_56,plain,
addition(one,star(one)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_54]),c_0_40]) ).
cnf(c_0_57,plain,
( leq(multiplication(star(one),X1),X2)
| ~ leq(addition(X2,X1),X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_37]) ).
cnf(c_0_58,plain,
leq(one,star(one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_37]),c_0_56]) ).
cnf(c_0_59,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
i_0_1 ).
cnf(c_0_60,plain,
leq(addition(one,multiplication(star(X1),X1)),star(X1)),
i_0_17 ).
cnf(c_0_61,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
i_0_14 ).
cnf(c_0_62,plain,
multiplication(X1,one) = X1,
i_0_10 ).
cnf(c_0_63,plain,
( leq(multiplication(star(one),X1),X2)
| ~ leq(addition(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_40]) ).
cnf(c_0_64,plain,
star(one) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_58]),c_0_56]) ).
cnf(c_0_65,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_59,c_0_51]) ).
cnf(c_0_66,plain,
addition(one,addition(star(X1),multiplication(star(X1),X1))) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_60]),c_0_59]),c_0_40]) ).
cnf(c_0_67,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_40]) ).
cnf(c_0_68,plain,
addition(star(X1),addition(one,multiplication(X1,star(X1)))) = star(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_41]),c_0_40]) ).
cnf(c_0_69,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_40,c_0_59]) ).
cnf(c_0_70,plain,
( leq(X1,X2)
| ~ leq(addition(X1,X2),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64]),c_0_37]) ).
cnf(c_0_71,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
i_0_7 ).
cnf(c_0_72,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_65,c_0_40]) ).
cnf(c_0_73,plain,
addition(one,multiplication(star(X1),addition(X1,one))) = star(X1),
inference(rw,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_74,plain,
addition(one,addition(star(X1),multiplication(X1,star(X1)))) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69]),c_0_40]) ).
cnf(c_0_75,plain,
( leq(addition(X1,X2),X3)
| ~ leq(addition(X1,addition(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_70,c_0_59]) ).
cnf(c_0_76,negated_conjecture,
( ~ leq(star(esk1_0),star(star(esk1_0)))
| ~ leq(star(star(esk1_0)),star(esk1_0)) ),
i_0_5 ).
cnf(c_0_77,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_37]),c_0_40]) ).
cnf(c_0_78,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_72,c_0_73]),c_0_40]),c_0_67]),c_0_59]),c_0_51]) ).
cnf(c_0_79,plain,
addition(one,star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_65,c_0_74]) ).
cnf(c_0_80,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
i_0_8 ).
cnf(c_0_81,plain,
( leq(addition(X1,X2),X1)
| ~ leq(addition(X2,X1),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_51]),c_0_59]),c_0_72]) ).
cnf(c_0_82,plain,
( addition(star(esk1_0),star(star(esk1_0))) != star(star(esk1_0))
| ~ leq(star(star(esk1_0)),star(esk1_0)) ),
inference(spm,[status(thm)],[c_0_76,c_0_50]) ).
cnf(c_0_83,plain,
addition(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_77,c_0_78]),c_0_59]),c_0_79]),c_0_40]),c_0_79]),c_0_78]) ).
cnf(c_0_84,plain,
( leq(multiplication(X1,star(X2)),X3)
| addition(X3,addition(multiplication(X3,X2),X1)) != X3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_50]),c_0_40]) ).
cnf(c_0_85,plain,
( leq(multiplication(X1,multiplication(X2,star(X3))),X1)
| ~ leq(multiplication(X1,addition(X3,X2)),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_61]),c_0_80]) ).
cnf(c_0_86,plain,
( leq(addition(X1,X2),X1)
| addition(X2,X1) != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_50]),c_0_59]),c_0_51]) ).
cnf(c_0_87,plain,
~ leq(star(star(esk1_0)),star(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83])]) ).
cnf(c_0_88,plain,
( leq(star(X1),X2)
| addition(X2,addition(one,multiplication(X2,X1))) != X2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_37]),c_0_40]) ).
cnf(c_0_89,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_40]),c_0_59]) ).
cnf(c_0_90,plain,
( multiplication(X1,addition(one,multiplication(X2,star(X3)))) = X1
| ~ leq(multiplication(X1,addition(X3,X2)),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_85]),c_0_40]),c_0_67]),c_0_40]) ).
cnf(c_0_91,plain,
leq(X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_86]),c_0_51])]) ).
cnf(c_0_92,plain,
addition(one,multiplication(star(esk1_0),star(esk1_0))) != star(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_67]),c_0_40]),c_0_79]) ).
cnf(c_0_93,plain,
multiplication(star(X1),star(X1)) = star(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_78]),c_0_37]),c_0_79]),c_0_91])]) ).
cnf(c_0_94,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93]),c_0_79])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE039+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 09:19:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.46/2.58 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.46/2.58 # No SInE strategy applied
% 9.46/2.58 # Trying AutoSched0 for 150 seconds
% 9.46/2.58 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S059I
% 9.46/2.58 # and selection function SelectComplexExceptUniqMaxPosHorn.
% 9.46/2.58 #
% 9.46/2.58 # Preprocessing time : 0.012 s
% 9.46/2.58 # Presaturation interreduction done
% 9.46/2.58
% 9.46/2.58 # Proof found!
% 9.46/2.58 # SZS status Theorem
% 9.46/2.58 # SZS output start CNFRefutation
% See solution above
% 9.46/2.58 # Training examples: 0 positive, 0 negative
% 9.46/2.58
% 9.46/2.58 # -------------------------------------------------
% 9.46/2.58 # User time : 0.350 s
% 9.46/2.58 # System time : 0.015 s
% 9.46/2.58 # Total time : 0.365 s
% 9.46/2.58 # Maximum resident set size: 7124 pages
% 9.46/2.58
%------------------------------------------------------------------------------