TSTP Solution File: KLE158+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE158+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 01:50:39 EDT 2022
% Result : Theorem 47.86s 7.36s
% Output : CNFRefutation 47.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of clauses : 70 ( 54 unt; 0 nHn; 26 RR)
% Number of literals : 86 ( 45 equ; 18 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 : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 127 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_1) ).
cnf(i_0_8,plain,
addition(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_8) ).
cnf(i_0_9,plain,
( leq(X1,multiplication(strong_iteration(X2),X3))
| ~ leq(X1,addition(multiplication(X2,X1),X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_9) ).
cnf(i_0_16,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_16) ).
cnf(i_0_2,plain,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_2) ).
cnf(i_0_10,plain,
addition(multiplication(X1,strong_iteration(X1)),one) = strong_iteration(X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_10) ).
cnf(i_0_12,plain,
multiplication(zero,X1) = zero,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_12) ).
cnf(i_0_3,plain,
addition(X1,zero) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_3) ).
cnf(i_0_18,plain,
( leq(multiplication(star(X1),X2),X3)
| ~ leq(addition(multiplication(X1,X3),X2),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_18) ).
cnf(i_0_14,plain,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_14) ).
cnf(i_0_15,plain,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_15) ).
cnf(i_0_21,plain,
addition(one,multiplication(star(X1),X1)) = star(X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_21) ).
cnf(i_0_19,plain,
( leq(multiplication(X1,star(X2)),X3)
| ~ leq(addition(multiplication(X3,X2),X1),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_19) ).
cnf(i_0_17,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_17) ).
cnf(i_0_4,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_4) ).
cnf(i_0_5,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_5) ).
cnf(i_0_7,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),multiplication(esk3_0,esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_7) ).
cnf(i_0_13,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_13) ).
cnf(i_0_6,negated_conjecture,
~ leq(multiplication(esk1_0,strong_iteration(esk2_0)),multiplication(strong_iteration(esk3_0),esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-54ifbt88/input.p',i_0_6) ).
cnf(c_0_41,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
i_0_1 ).
cnf(c_0_42,plain,
addition(X1,X1) = X1,
i_0_8 ).
cnf(c_0_43,plain,
( leq(X1,multiplication(strong_iteration(X2),X3))
| ~ leq(X1,addition(multiplication(X2,X1),X3)) ),
i_0_9 ).
cnf(c_0_44,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
i_0_16 ).
cnf(c_0_45,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,plain,
addition(X1,X2) = addition(X2,X1),
i_0_2 ).
cnf(c_0_47,plain,
addition(multiplication(X1,strong_iteration(X1)),one) = strong_iteration(X1),
i_0_10 ).
cnf(c_0_48,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_43,c_0_44]) ).
cnf(c_0_49,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,plain,
addition(one,multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
inference(rw,[status(thm)],[c_0_47,c_0_46]) ).
cnf(c_0_51,plain,
multiplication(zero,X1) = zero,
i_0_12 ).
cnf(c_0_52,plain,
addition(X1,zero) = X1,
i_0_3 ).
cnf(c_0_53,plain,
( leq(multiplication(star(X1),X2),X3)
| ~ leq(addition(multiplication(X1,X3),X2),X3) ),
i_0_18 ).
cnf(c_0_54,plain,
multiplication(one,X1) = X1,
i_0_14 ).
cnf(c_0_55,plain,
leq(X1,multiplication(strong_iteration(X2),X1)),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,plain,
strong_iteration(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_57,plain,
( leq(multiplication(star(one),X1),X2)
| ~ leq(addition(X2,X1),X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,plain,
leq(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_54]) ).
cnf(c_0_59,plain,
leq(multiplication(star(one),X1),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_42]),c_0_58])]) ).
cnf(c_0_60,plain,
multiplication(X1,one) = X1,
i_0_15 ).
cnf(c_0_61,plain,
addition(one,multiplication(star(X1),X1)) = star(X1),
i_0_21 ).
cnf(c_0_62,plain,
( leq(multiplication(X1,star(X2)),X3)
| ~ leq(addition(multiplication(X3,X2),X1),X3) ),
i_0_19 ).
cnf(c_0_63,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
i_0_17 ).
cnf(c_0_64,plain,
leq(star(one),one),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,plain,
addition(one,star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_45,c_0_61]) ).
cnf(c_0_66,plain,
( leq(multiplication(X1,star(one)),X2)
| ~ leq(addition(X2,X1),X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_60]) ).
cnf(c_0_67,plain,
star(one) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_46]),c_0_65]) ).
cnf(c_0_68,plain,
( leq(X1,X2)
| ~ leq(addition(X2,X1),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67]),c_0_60]) ).
cnf(c_0_69,plain,
( leq(X1,X2)
| ~ leq(addition(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_46]) ).
cnf(c_0_70,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
i_0_4 ).
cnf(c_0_71,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_46,c_0_41]) ).
cnf(c_0_72,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
i_0_5 ).
cnf(c_0_73,plain,
leq(X1,addition(X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_45]),c_0_58])]) ).
cnf(c_0_74,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),multiplication(esk3_0,esk1_0)),
i_0_7 ).
cnf(c_0_75,plain,
addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4)) = addition(multiplication(X1,addition(X2,X3)),X4),
inference(spm,[status(thm)],[c_0_41,c_0_70]) ).
cnf(c_0_76,plain,
addition(multiplication(X1,X2),addition(X3,multiplication(X4,X2))) = addition(X3,multiplication(addition(X4,X1),X2)),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,plain,
leq(multiplication(X1,X2),multiplication(addition(X1,X3),X2)),
inference(spm,[status(thm)],[c_0_73,c_0_72]) ).
cnf(c_0_78,negated_conjecture,
addition(multiplication(esk1_0,esk2_0),multiplication(esk3_0,esk1_0)) = multiplication(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_63,c_0_74]) ).
cnf(c_0_79,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
i_0_13 ).
cnf(c_0_80,plain,
addition(multiplication(X1,X2),multiplication(addition(X3,X1),X4)) = addition(multiplication(X1,addition(X4,X2)),multiplication(X3,X4)),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,negated_conjecture,
leq(multiplication(esk1_0,multiplication(esk2_0,X1)),multiplication(esk3_0,multiplication(esk1_0,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_79]) ).
cnf(c_0_82,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_54]),c_0_46]) ).
cnf(c_0_83,plain,
addition(X1,addition(multiplication(X1,multiplication(X2,strong_iteration(X2))),X3)) = addition(multiplication(X1,strong_iteration(X2)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_50]),c_0_60]),c_0_60]),c_0_71]) ).
cnf(c_0_84,plain,
addition(multiplication(esk1_0,multiplication(esk2_0,X1)),multiplication(esk3_0,multiplication(esk1_0,X1))) = multiplication(esk3_0,multiplication(esk1_0,X1)),
inference(spm,[status(thm)],[c_0_63,c_0_81]) ).
cnf(c_0_85,plain,
addition(multiplication(X1,X2),multiplication(X3,multiplication(X4,X2))) = multiplication(addition(X1,multiplication(X3,X4)),X2),
inference(spm,[status(thm)],[c_0_72,c_0_79]) ).
cnf(c_0_86,plain,
leq(X1,multiplication(addition(X2,one),X1)),
inference(spm,[status(thm)],[c_0_73,c_0_82]) ).
cnf(c_0_87,plain,
( leq(X1,multiplication(strong_iteration(X2),X3))
| ~ leq(X1,addition(X3,multiplication(X2,X1))) ),
inference(spm,[status(thm)],[c_0_43,c_0_46]) ).
cnf(c_0_88,plain,
addition(esk1_0,multiplication(esk3_0,multiplication(esk1_0,strong_iteration(esk2_0)))) = multiplication(addition(one,esk3_0),multiplication(esk1_0,strong_iteration(esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_82]),c_0_46]),c_0_79]) ).
cnf(c_0_89,plain,
leq(X1,multiplication(addition(one,X2),X1)),
inference(spm,[status(thm)],[c_0_86,c_0_46]) ).
cnf(c_0_90,negated_conjecture,
~ leq(multiplication(esk1_0,strong_iteration(esk2_0)),multiplication(strong_iteration(esk3_0),esk1_0)),
i_0_6 ).
cnf(c_0_91,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]),c_0_90]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE158+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jun 16 14:09:06 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.44 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 47.86/7.36 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 47.86/7.36 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 36; version: 991; iters: 150)
% 47.86/7.36 # Preprocessing time : 1.198 s
% 47.86/7.36 # Presaturation interreduction done
% 47.86/7.36
% 47.86/7.36 # Proof found!
% 47.86/7.36 # SZS status Theorem
% 47.86/7.36 # SZS output start CNFRefutation
% See solution above
% 47.86/7.36 # Training examples: 0 positive, 0 negative
% 47.86/7.36
% 47.86/7.36 # -------------------------------------------------
% 47.86/7.36 # User time : 4.684 s
% 47.86/7.36 # System time : 0.205 s
% 47.86/7.36 # Total time : 4.889 s
% 47.86/7.36 # ...preprocessing : 1.198 s
% 47.86/7.36 # ...main loop : 3.690 s
% 47.86/7.36 # Maximum resident set size: 185928 pages
% 47.86/7.36
%------------------------------------------------------------------------------