TSTP Solution File: KLE147+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE147+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 01:50:34 EDT 2022
% Result : Theorem 71.60s 10.54s
% Output : CNFRefutation 71.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of clauses : 82 ( 56 unt; 0 nHn; 30 RR)
% Number of literals : 108 ( 72 equ; 28 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 151 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_1) ).
cnf(i_0_7,plain,
addition(X1,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_7) ).
cnf(i_0_18,plain,
( leq(multiplication(X1,star(X2)),X3)
| ~ leq(addition(multiplication(X3,X2),X1),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_18) ).
cnf(i_0_12,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_12) ).
cnf(i_0_4,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_4) ).
cnf(i_0_14,plain,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_14) ).
cnf(i_0_2,plain,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_2) ).
cnf(i_0_8,plain,
( leq(X1,multiplication(strong_iteration(X2),X3))
| ~ leq(X1,addition(multiplication(X2,X1),X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_8) ).
cnf(i_0_15,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_15) ).
cnf(i_0_9,plain,
addition(multiplication(X1,strong_iteration(X1)),one) = strong_iteration(X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_9) ).
cnf(i_0_16,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_16) ).
cnf(i_0_19,plain,
addition(one,multiplication(X1,star(X1))) = star(X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_19) ).
cnf(i_0_11,plain,
multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_11) ).
cnf(i_0_3,plain,
addition(X1,zero) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_3) ).
cnf(i_0_13,plain,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_13) ).
cnf(i_0_5,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_5) ).
cnf(i_0_20,plain,
addition(one,multiplication(star(X1),X1)) = star(X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_20) ).
cnf(i_0_17,plain,
( leq(multiplication(star(X1),X2),X3)
| ~ leq(addition(multiplication(X1,X3),X2),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_17) ).
cnf(i_0_6,negated_conjecture,
multiplication(star(esk2_0),strong_iteration(multiplication(star(esk1_0),esk2_0))) != strong_iteration(multiplication(star(esk1_0),esk2_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qownqjzg/input.p',i_0_6) ).
cnf(c_0_40,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
i_0_1 ).
cnf(c_0_41,plain,
addition(X1,X1) = X1,
i_0_7 ).
cnf(c_0_42,plain,
( leq(multiplication(X1,star(X2)),X3)
| ~ leq(addition(multiplication(X3,X2),X1),X3) ),
i_0_18 ).
cnf(c_0_43,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
i_0_12 ).
cnf(c_0_44,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
i_0_4 ).
cnf(c_0_45,plain,
multiplication(X1,one) = X1,
i_0_14 ).
cnf(c_0_46,plain,
addition(X1,X2) = addition(X2,X1),
i_0_2 ).
cnf(c_0_47,plain,
( leq(X1,multiplication(strong_iteration(X2),X3))
| ~ leq(X1,addition(multiplication(X2,X1),X3)) ),
i_0_8 ).
cnf(c_0_48,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
i_0_15 ).
cnf(c_0_49,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_50,plain,
addition(multiplication(X1,strong_iteration(X1)),one) = strong_iteration(X1),
i_0_9 ).
cnf(c_0_51,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
i_0_16 ).
cnf(c_0_52,plain,
( leq(multiplication(X1,multiplication(X2,star(X2))),X1)
| ~ leq(multiplication(X1,X2),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_41]),c_0_43]) ).
cnf(c_0_53,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_54,plain,
addition(one,multiplication(X1,star(X1))) = star(X1),
i_0_19 ).
cnf(c_0_55,plain,
( leq(X1,multiplication(strong_iteration(X2),X3))
| addition(X1,addition(multiplication(X2,X1),X3)) != addition(multiplication(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_56,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_49,c_0_46]) ).
cnf(c_0_57,plain,
addition(one,multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
inference(rw,[status(thm)],[c_0_50,c_0_46]) ).
cnf(c_0_58,plain,
multiplication(zero,X1) = zero,
i_0_11 ).
cnf(c_0_59,plain,
addition(X1,zero) = X1,
i_0_3 ).
cnf(c_0_60,plain,
( multiplication(X1,star(X2)) = X1
| ~ leq(multiplication(X1,X2),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_46]),c_0_53]),c_0_46]),c_0_54]) ).
cnf(c_0_61,plain,
leq(X1,multiplication(strong_iteration(X2),X1)),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_62,plain,
strong_iteration(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
cnf(c_0_63,plain,
multiplication(one,X1) = X1,
i_0_13 ).
cnf(c_0_64,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
i_0_5 ).
cnf(c_0_65,plain,
( leq(X1,multiplication(strong_iteration(X2),X3))
| ~ leq(X1,addition(X3,multiplication(X2,X1))) ),
inference(spm,[status(thm)],[c_0_47,c_0_46]) ).
cnf(c_0_66,plain,
addition(one,multiplication(X1,multiplication(X2,star(multiplication(X1,X2))))) = star(multiplication(X1,X2)),
inference(spm,[status(thm)],[c_0_54,c_0_43]) ).
cnf(c_0_67,plain,
( multiplication(X1,star(X2)) = X1
| multiplication(X1,addition(X2,one)) != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_48]),c_0_46]),c_0_53]) ).
cnf(c_0_68,plain,
leq(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_69,plain,
addition(one,multiplication(star(X1),X1)) = star(X1),
i_0_20 ).
cnf(c_0_70,plain,
addition(one,addition(multiplication(X1,star(X1)),X2)) = addition(star(X1),X2),
inference(spm,[status(thm)],[c_0_40,c_0_54]) ).
cnf(c_0_71,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_63]),c_0_46]) ).
cnf(c_0_72,plain,
addition(one,addition(multiplication(X1,strong_iteration(X1)),X2)) = addition(strong_iteration(X1),X2),
inference(spm,[status(thm)],[c_0_40,c_0_57]) ).
cnf(c_0_73,plain,
( leq(multiplication(star(X1),X2),X3)
| ~ leq(addition(multiplication(X1,X3),X2),X3) ),
i_0_17 ).
cnf(c_0_74,plain,
( leq(multiplication(X1,star(multiplication(X2,X1))),strong_iteration(X2))
| ~ leq(multiplication(X1,star(multiplication(X2,X1))),star(multiplication(X2,X1))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_45]) ).
cnf(c_0_75,plain,
( multiplication(X1,star(star(X2))) = X1
| multiplication(X1,addition(X2,one)) != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_67]),c_0_68])]) ).
cnf(c_0_76,plain,
addition(one,star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_49,c_0_69]) ).
cnf(c_0_77,plain,
multiplication(star(X1),addition(X1,one)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_69]),c_0_46]),c_0_53]) ).
cnf(c_0_78,plain,
multiplication(addition(X1,one),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_41]),c_0_54]),c_0_71]) ).
cnf(c_0_79,plain,
addition(one,addition(X1,multiplication(X2,strong_iteration(X2)))) = addition(strong_iteration(X2),X1),
inference(spm,[status(thm)],[c_0_72,c_0_46]) ).
cnf(c_0_80,plain,
( leq(multiplication(star(X1),X2),X3)
| ~ leq(addition(X2,multiplication(X1,X3)),X3) ),
inference(spm,[status(thm)],[c_0_73,c_0_46]) ).
cnf(c_0_81,plain,
( leq(multiplication(X1,star(multiplication(X2,X1))),strong_iteration(X2))
| multiplication(addition(X1,one),star(multiplication(X2,X1))) != star(multiplication(X2,X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_48]),c_0_46]),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_54,c_0_75]),c_0_76]),c_0_77])]) ).
cnf(c_0_83,plain,
addition(one,strong_iteration(X1)) = strong_iteration(X1),
inference(spm,[status(thm)],[c_0_49,c_0_57]) ).
cnf(c_0_84,plain,
multiplication(addition(X1,addition(X2,one)),star(X2)) = multiplication(addition(X1,one),star(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_78]),c_0_46]),c_0_71]) ).
cnf(c_0_85,plain,
addition(one,multiplication(X1,addition(X2,strong_iteration(X1)))) = addition(strong_iteration(X1),multiplication(X1,X2)),
inference(spm,[status(thm)],[c_0_79,c_0_44]) ).
cnf(c_0_86,plain,
( leq(multiplication(star(X1),X2),X2)
| ~ leq(multiplication(addition(X1,one),X2),X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_71]) ).
cnf(c_0_87,plain,
( leq(multiplication(X1,star(X2)),X3)
| ~ leq(addition(X1,multiplication(X3,X2)),X3) ),
inference(spm,[status(thm)],[c_0_42,c_0_46]) ).
cnf(c_0_88,plain,
( multiplication(strong_iteration(X1),star(multiplication(X1,strong_iteration(X1)))) = strong_iteration(X1)
| multiplication(strong_iteration(X1),star(multiplication(X1,strong_iteration(X1)))) != star(multiplication(X1,strong_iteration(X1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_81]),c_0_82]),c_0_46]),c_0_83]) ).
cnf(c_0_89,plain,
multiplication(strong_iteration(X1),star(multiplication(X1,strong_iteration(X1)))) = star(multiplication(X1,strong_iteration(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_72]),c_0_46]),c_0_83]),c_0_41]),c_0_63]) ).
cnf(c_0_90,plain,
addition(multiplication(X1,X2),addition(multiplication(X3,X2),X4)) = addition(multiplication(addition(X1,X3),X2),X4),
inference(spm,[status(thm)],[c_0_40,c_0_64]) ).
cnf(c_0_91,plain,
addition(X1,strong_iteration(X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_83]),c_0_57]),c_0_45]),c_0_46]) ).
cnf(c_0_92,plain,
( multiplication(star(X1),X2) = X2
| ~ leq(multiplication(addition(X1,one),X2),X2) ),
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_86]),c_0_46]),c_0_71]),c_0_46]),c_0_76]) ).
cnf(c_0_93,plain,
( leq(multiplication(X1,star(X2)),X3)
| addition(X1,multiplication(X3,addition(X2,one))) != X3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_48]),c_0_40]),c_0_46]),c_0_53]) ).
cnf(c_0_94,plain,
star(multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89]),c_0_89])]) ).
cnf(c_0_95,plain,
addition(multiplication(addition(X1,X2),X3),strong_iteration(multiplication(X2,X3))) = addition(multiplication(X1,X3),strong_iteration(multiplication(X2,X3))),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_96,plain,
( multiplication(star(X1),star(X2)) = star(X2)
| addition(X1,star(X2)) != star(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_77]),c_0_40]),c_0_76]) ).
cnf(c_0_97,plain,
star(strong_iteration(X1)) = strong_iteration(X1),
inference(spm,[status(thm)],[c_0_82,c_0_94]) ).
cnf(c_0_98,plain,
addition(strong_iteration(multiplication(X1,X2)),multiplication(addition(X3,X1),X2)) = addition(multiplication(X3,X2),strong_iteration(multiplication(X1,X2))),
inference(spm,[status(thm)],[c_0_46,c_0_95]) ).
cnf(c_0_99,negated_conjecture,
multiplication(star(esk2_0),strong_iteration(multiplication(star(esk1_0),esk2_0))) != strong_iteration(multiplication(star(esk1_0),esk2_0)),
i_0_6 ).
cnf(c_0_100,plain,
( multiplication(star(X1),strong_iteration(X2)) = strong_iteration(X2)
| addition(X1,strong_iteration(X2)) != strong_iteration(X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_101,plain,
addition(X1,strong_iteration(multiplication(star(X2),X1))) = strong_iteration(multiplication(star(X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_76]),c_0_63]),c_0_46]),c_0_91]) ).
cnf(c_0_102,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE147+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n015.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 09:59:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.20/0.46 # Parsing /export/starexec/sandbox2/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
% 71.60/10.54 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 71.60/10.54 # 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: 30; version: 991; iters: 150)
% 71.60/10.54 # Preprocessing time : 1.242 s
% 71.60/10.54 # Presaturation interreduction done
% 71.60/10.54
% 71.60/10.54 # Proof found!
% 71.60/10.54 # SZS status Theorem
% 71.60/10.54 # SZS output start CNFRefutation
% See solution above
% 71.60/10.54 # Training examples: 0 positive, 0 negative
% 71.60/10.54
% 71.60/10.54 # -------------------------------------------------
% 71.60/10.54 # User time : 7.762 s
% 71.60/10.54 # System time : 0.223 s
% 71.60/10.54 # Total time : 7.985 s
% 71.60/10.54 # ...preprocessing : 1.242 s
% 71.60/10.54 # ...main loop : 6.743 s
% 71.60/10.54 # Maximum resident set size: 186680 pages
% 71.60/10.54
%------------------------------------------------------------------------------