TSTP Solution File: KLE098+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE098+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 01:50:07 EDT 2022
% Result : Theorem 15.89s 3.32s
% Output : CNFRefutation 15.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 43 ( 43 unt; 0 nHn; 9 RR)
% Number of literals : 43 ( 42 equ; 2 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 53 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_20,negated_conjecture,
addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(esk3_0))) = antidomain(antidomain(esk3_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ygw51is1/input.p',i_0_20) ).
cnf(i_0_2,plain,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ygw51is1/input.p',i_0_2) ).
cnf(i_0_1,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ygw51is1/input.p',i_0_1) ).
cnf(i_0_3,plain,
addition(X1,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ygw51is1/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-ygw51is1/input.p',i_0_14) ).
cnf(i_0_4,plain,
addition(X1,zero) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ygw51is1/input.p',i_0_4) ).
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-ygw51is1/input.p',i_0_29) ).
cnf(i_0_12,plain,
multiplication(antidomain(X1),X1) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ygw51is1/input.p',i_0_12) ).
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-ygw51is1/input.p',i_0_22) ).
cnf(i_0_25,plain,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ygw51is1/input.p',i_0_25) ).
cnf(i_0_24,plain,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ygw51is1/input.p',i_0_24) ).
cnf(i_0_19,negated_conjecture,
addition(multiplication(esk1_0,antidomain(antidomain(esk2_0))),multiplication(antidomain(antidomain(esk3_0)),esk1_0)) != multiplication(antidomain(antidomain(esk3_0)),esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ygw51is1/input.p',i_0_19) ).
cnf(c_0_42,negated_conjecture,
addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(esk3_0))) = antidomain(antidomain(esk3_0)),
i_0_20 ).
cnf(c_0_43,plain,
addition(X1,X2) = addition(X2,X1),
i_0_2 ).
cnf(c_0_44,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
i_0_1 ).
cnf(c_0_45,negated_conjecture,
addition(antidomain(antidomain(esk3_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0)))))))) = antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,plain,
addition(X1,X1) = X1,
i_0_3 ).
cnf(c_0_47,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
i_0_14 ).
cnf(c_0_48,plain,
addition(X1,zero) = X1,
i_0_4 ).
cnf(c_0_49,negated_conjecture,
addition(antidomain(antidomain(esk3_0)),addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),X1)) = addition(antidomain(antidomain(esk3_0)),X1),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_44,c_0_46]) ).
cnf(c_0_51,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_47,c_0_43]) ).
cnf(c_0_52,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
i_0_29 ).
cnf(c_0_53,plain,
multiplication(antidomain(X1),X1) = zero,
i_0_12 ).
cnf(c_0_54,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
i_0_22 ).
cnf(c_0_55,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_48,c_0_43]) ).
cnf(c_0_56,plain,
addition(antidomain(antidomain(esk3_0)),addition(X1,antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))))) = addition(antidomain(antidomain(esk3_0)),X1),
inference(spm,[status(thm)],[c_0_49,c_0_43]) ).
cnf(c_0_57,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_43]) ).
cnf(c_0_58,plain,
multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_48]) ).
cnf(c_0_59,plain,
multiplication(X1,one) = X1,
i_0_25 ).
cnf(c_0_60,plain,
multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_53]),c_0_55]) ).
cnf(c_0_61,plain,
multiplication(one,X1) = X1,
i_0_24 ).
cnf(c_0_62,plain,
multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_53]),c_0_48]) ).
cnf(c_0_63,plain,
addition(antidomain(antidomain(esk3_0)),antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_51]),c_0_43]),c_0_57]) ).
cnf(c_0_64,plain,
multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1)) = antidomain(antidomain(antidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_51]),c_0_59]) ).
cnf(c_0_65,plain,
multiplication(antidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_51]),c_0_61]) ).
cnf(c_0_66,plain,
multiplication(antidomain(antidomain(esk3_0)),multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0)))))) = multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_61]) ).
cnf(c_0_67,plain,
antidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_68,plain,
multiplication(antidomain(antidomain(esk3_0)),multiplication(esk1_0,antidomain(antidomain(esk2_0)))) = multiplication(esk1_0,antidomain(antidomain(esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67]),c_0_67]) ).
cnf(c_0_69,negated_conjecture,
addition(multiplication(esk1_0,antidomain(antidomain(esk2_0))),multiplication(antidomain(antidomain(esk3_0)),esk1_0)) != multiplication(antidomain(antidomain(esk3_0)),esk1_0),
i_0_19 ).
cnf(c_0_70,plain,
addition(multiplication(esk1_0,antidomain(antidomain(esk2_0))),multiplication(antidomain(antidomain(esk3_0)),X1)) = multiplication(antidomain(antidomain(esk3_0)),addition(multiplication(esk1_0,antidomain(antidomain(esk2_0))),X1)),
inference(spm,[status(thm)],[c_0_52,c_0_68]) ).
cnf(c_0_71,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_59]),c_0_43]) ).
cnf(c_0_72,negated_conjecture,
$false,
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(rw,[status(thm)],[c_0_69,c_0_70]),c_0_43]),c_0_71]),c_0_43]),c_0_57]),c_0_59])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE098+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n013.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 15:43:31 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 15.89/3.32 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 15.89/3.32 # 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: 48; version: 991; iters: 150)
% 15.89/3.32 # Preprocessing time : 0.826 s
% 15.89/3.32 # Presaturation interreduction done
% 15.89/3.32
% 15.89/3.32 # Proof found!
% 15.89/3.32 # SZS status Theorem
% 15.89/3.32 # SZS output start CNFRefutation
% See solution above
% 15.89/3.32 # Training examples: 0 positive, 0 negative
% 15.89/3.32
% 15.89/3.32 # -------------------------------------------------
% 15.89/3.32 # User time : 0.809 s
% 15.89/3.32 # System time : 0.112 s
% 15.89/3.32 # Total time : 0.920 s
% 15.89/3.32 # ...preprocessing : 0.826 s
% 15.89/3.32 # ...main loop : 0.094 s
% 15.89/3.32 # Maximum resident set size: 167000 pages
% 15.89/3.32
%------------------------------------------------------------------------------