TSTP Solution File: KLE102+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE102+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 01:50:08 EDT 2022
% Result : Theorem 19.23s 3.88s
% Output : CNFRefutation 19.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of clauses : 68 ( 68 unt; 0 nHn; 15 RR)
% Number of literals : 68 ( 67 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 90 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
addition(X1,zero) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-702x15tn/input.p',i_0_4) ).
cnf(i_0_2,plain,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-702x15tn/input.p',i_0_2) ).
cnf(i_0_29,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-702x15tn/input.p',i_0_29) ).
cnf(i_0_20,negated_conjecture,
multiplication(antidomain(antidomain(esk2_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0)))) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-702x15tn/input.p',i_0_20) ).
cnf(i_0_9,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-702x15tn/input.p',i_0_9) ).
cnf(i_0_1,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-702x15tn/input.p',i_0_1) ).
cnf(i_0_3,plain,
addition(X1,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-702x15tn/input.p',i_0_3) ).
cnf(i_0_14,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-702x15tn/input.p',i_0_14) ).
cnf(i_0_7,plain,
multiplication(X1,coantidomain(X1)) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-702x15tn/input.p',i_0_7) ).
cnf(i_0_22,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-702x15tn/input.p',i_0_22) ).
cnf(i_0_24,plain,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-702x15tn/input.p',i_0_24) ).
cnf(i_0_25,plain,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-702x15tn/input.p',i_0_25) ).
cnf(i_0_23,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-702x15tn/input.p',i_0_23) ).
cnf(i_0_12,plain,
multiplication(antidomain(X1),X1) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-702x15tn/input.p',i_0_12) ).
cnf(i_0_13,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-702x15tn/input.p',i_0_13) ).
cnf(i_0_28,plain,
multiplication(X1,zero) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-702x15tn/input.p',i_0_28) ).
cnf(i_0_19,negated_conjecture,
multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(esk3_0))) != zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-702x15tn/input.p',i_0_19) ).
cnf(c_0_47,plain,
addition(X1,zero) = X1,
i_0_4 ).
cnf(c_0_48,plain,
addition(X1,X2) = addition(X2,X1),
i_0_2 ).
cnf(c_0_49,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
i_0_29 ).
cnf(c_0_50,negated_conjecture,
multiplication(antidomain(antidomain(esk2_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0)))) = zero,
i_0_20 ).
cnf(c_0_51,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
i_0_9 ).
cnf(c_0_52,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
i_0_1 ).
cnf(c_0_53,plain,
addition(X1,X1) = X1,
i_0_3 ).
cnf(c_0_54,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
i_0_14 ).
cnf(c_0_55,plain,
multiplication(X1,coantidomain(X1)) = zero,
i_0_7 ).
cnf(c_0_56,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_57,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
i_0_22 ).
cnf(c_0_58,plain,
multiplication(one,X1) = X1,
i_0_24 ).
cnf(c_0_59,negated_conjecture,
multiplication(antidomain(antidomain(esk2_0)),addition(X1,coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0))))) = multiplication(antidomain(antidomain(esk2_0)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_47]) ).
cnf(c_0_60,plain,
addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_51,c_0_48]) ).
cnf(c_0_61,plain,
multiplication(X1,one) = X1,
i_0_25 ).
cnf(c_0_62,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_63,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_54,c_0_48]) ).
cnf(c_0_64,plain,
multiplication(X1,addition(coantidomain(X1),X2)) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_55]),c_0_56]) ).
cnf(c_0_65,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_48]) ).
cnf(c_0_66,plain,
multiplication(antidomain(antidomain(esk2_0)),coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0))) = antidomain(antidomain(esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_67,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_48]) ).
cnf(c_0_68,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
i_0_23 ).
cnf(c_0_69,plain,
multiplication(antidomain(X1),X1) = zero,
i_0_12 ).
cnf(c_0_70,plain,
multiplication(X1,coantidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_60]),c_0_61]) ).
cnf(c_0_71,plain,
multiplication(X1,addition(X2,coantidomain(X1))) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_55]),c_0_47]) ).
cnf(c_0_72,plain,
addition(antidomain(antidomain(esk2_0)),coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0))) = coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_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_65,c_0_66]),c_0_48]),c_0_67]),c_0_58]),c_0_48]) ).
cnf(c_0_73,plain,
multiplication(X1,multiplication(X2,coantidomain(multiplication(X1,X2)))) = zero,
inference(spm,[status(thm)],[c_0_55,c_0_68]) ).
cnf(c_0_74,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_61,c_0_69]) ).
cnf(c_0_75,plain,
multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_69]),c_0_47]) ).
cnf(c_0_76,plain,
multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_69]),c_0_47]) ).
cnf(c_0_77,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
i_0_13 ).
cnf(c_0_78,plain,
multiplication(X1,multiplication(coantidomain(coantidomain(X1)),X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_68,c_0_70]) ).
cnf(c_0_79,plain,
multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),multiplication(esk1_0,antidomain(antidomain(esk2_0)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_68]),c_0_73]),c_0_68]) ).
cnf(c_0_80,plain,
multiplication(X1,zero) = zero,
i_0_28 ).
cnf(c_0_81,plain,
addition(zero,antidomain(zero)) = one,
inference(spm,[status(thm)],[c_0_63,c_0_74]) ).
cnf(c_0_82,plain,
multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_69]),c_0_56]) ).
cnf(c_0_83,plain,
multiplication(antidomain(X1),addition(X1,X2)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_69]),c_0_56]) ).
cnf(c_0_84,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,addition(X3,X2))) = multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,X3)),
inference(spm,[status(thm)],[c_0_75,c_0_49]) ).
cnf(c_0_85,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(antidomain(X2)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_69]) ).
cnf(c_0_86,plain,
multiplication(antidomain(antidomain(esk3_0)),multiplication(esk1_0,antidomain(antidomain(esk2_0)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).
cnf(c_0_87,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[c_0_81,c_0_56]) ).
cnf(c_0_88,plain,
multiplication(antidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_63]),c_0_58]) ).
cnf(c_0_89,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X1,X3),X2)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(X3,X2)),
inference(spm,[status(thm)],[c_0_83,c_0_57]) ).
cnf(c_0_90,plain,
multiplication(antidomain(multiplication(X1,antidomain(antidomain(X2)))),multiplication(X1,antidomain(X2))) = multiplication(antidomain(multiplication(X1,antidomain(antidomain(X2)))),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_63]),c_0_61]) ).
cnf(c_0_91,plain,
multiplication(antidomain(antidomain(esk3_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_58]) ).
cnf(c_0_92,negated_conjecture,
multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(esk3_0))) != zero,
i_0_19 ).
cnf(c_0_93,plain,
antidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_63]),c_0_61]),c_0_88]) ).
cnf(c_0_94,plain,
multiplication(antidomain(X1),multiplication(antidomain(X2),X1)) = zero,
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_67]),c_0_58]),c_0_58]),c_0_69]),c_0_58]) ).
cnf(c_0_95,plain,
multiplication(antidomain(antidomain(esk3_0)),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))) = antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_87]),c_0_58]),c_0_87]),c_0_58]) ).
cnf(c_0_96,negated_conjecture,
multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),antidomain(antidomain(esk3_0))) != zero,
inference(rw,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_97,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE102+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 15:42:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 19.23/3.88 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 19.23/3.88 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 46; version: 991; iters: 150)
% 19.23/3.88 # Preprocessing time : 0.825 s
% 19.23/3.88 # Presaturation interreduction done
% 19.23/3.88
% 19.23/3.88 # Proof found!
% 19.23/3.88 # SZS status Theorem
% 19.23/3.88 # SZS output start CNFRefutation
% See solution above
% 19.23/3.88 # Training examples: 0 positive, 0 negative
% 19.23/3.88
% 19.23/3.88 # -------------------------------------------------
% 19.23/3.88 # User time : 1.343 s
% 19.23/3.88 # System time : 0.119 s
% 19.23/3.88 # Total time : 1.462 s
% 19.23/3.88 # ...preprocessing : 0.825 s
% 19.23/3.88 # ...main loop : 0.637 s
% 19.23/3.88 # Maximum resident set size: 166944 pages
% 19.23/3.88
%------------------------------------------------------------------------------