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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE135+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 01:50:29 EDT 2022

% Result   : Theorem 16.49s 3.55s
% Output   : CNFRefutation 16.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   38 (  35 unt;   0 nHn;  13 RR)
%            Number of literals    :   41 (  40 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :   16 (   4 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   42 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_16,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fdjdjpl/input.p',i_0_16) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fdjdjpl/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-_fdjdjpl/input.p',i_0_1) ).

cnf(i_0_13,plain,
    ( addition(antidomain(antidomain(X1)),addition(divergence(X2),antidomain(antidomain(multiplication(star(X2),antidomain(antidomain(antidomain(antidomain(X3))))))))) = addition(divergence(X2),antidomain(antidomain(multiplication(star(X2),antidomain(antidomain(antidomain(antidomain(X3))))))))
    | addition(antidomain(antidomain(X1)),addition(antidomain(antidomain(multiplication(X2,antidomain(antidomain(antidomain(antidomain(X1))))))),antidomain(antidomain(X3)))) != addition(antidomain(antidomain(multiplication(X2,antidomain(antidomain(antidomain(antidomain(X1))))))),antidomain(antidomain(X3))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fdjdjpl/input.p',i_0_13) ).

cnf(i_0_3,plain,
    addition(X1,X1) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fdjdjpl/input.p',i_0_3) ).

cnf(i_0_27,plain,
    multiplication(X1,one) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fdjdjpl/input.p',i_0_27) ).

cnf(i_0_14,plain,
    multiplication(antidomain(X1),X1) = zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fdjdjpl/input.p',i_0_14) ).

cnf(i_0_4,plain,
    addition(X1,zero) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fdjdjpl/input.p',i_0_4) ).

cnf(i_0_22,negated_conjecture,
    divergence(esk1_0) = zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fdjdjpl/input.p',i_0_22) ).

cnf(i_0_26,plain,
    multiplication(one,X1) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fdjdjpl/input.p',i_0_26) ).

cnf(i_0_15,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-_fdjdjpl/input.p',i_0_15) ).

cnf(i_0_21,negated_conjecture,
    antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(antidomain(esk1_0)))))) != one,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fdjdjpl/input.p',i_0_21) ).

cnf(c_0_40,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    i_0_16 ).

cnf(c_0_41,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_42,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    i_0_1 ).

cnf(c_0_43,plain,
    addition(antidomain(X1),antidomain(antidomain(X1))) = one,
    inference(rw,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_44,plain,
    ( addition(antidomain(antidomain(X1)),addition(divergence(X2),antidomain(antidomain(multiplication(star(X2),antidomain(antidomain(antidomain(antidomain(X3))))))))) = addition(divergence(X2),antidomain(antidomain(multiplication(star(X2),antidomain(antidomain(antidomain(antidomain(X3))))))))
    | addition(antidomain(antidomain(X1)),addition(antidomain(antidomain(multiplication(X2,antidomain(antidomain(antidomain(antidomain(X1))))))),antidomain(antidomain(X3)))) != addition(antidomain(antidomain(multiplication(X2,antidomain(antidomain(antidomain(antidomain(X1))))))),antidomain(antidomain(X3))) ),
    i_0_13 ).

cnf(c_0_45,plain,
    addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2)) = addition(one,X2),
    inference(spm,[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,
    multiplication(X1,one) = X1,
    i_0_27 ).

cnf(c_0_48,plain,
    multiplication(antidomain(X1),X1) = zero,
    i_0_14 ).

cnf(c_0_49,plain,
    ( addition(antidomain(antidomain(X1)),addition(divergence(X2),antidomain(antidomain(multiplication(star(X2),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X2,antidomain(antidomain(antidomain(antidomain(X1))))))))))))))) = addition(divergence(X2),antidomain(antidomain(multiplication(star(X2),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X2,antidomain(antidomain(antidomain(antidomain(X1))))))))))))))
    | addition(one,antidomain(antidomain(X1))) != one ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_43]),c_0_41]) ).

cnf(c_0_50,plain,
    addition(one,antidomain(antidomain(X1))) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_43]) ).

cnf(c_0_51,plain,
    addition(X1,zero) = X1,
    i_0_4 ).

cnf(c_0_52,plain,
    antidomain(one) = zero,
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_53,plain,
    addition(antidomain(antidomain(X1)),addition(divergence(X2),antidomain(antidomain(multiplication(star(X2),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X2,antidomain(antidomain(antidomain(antidomain(X1))))))))))))))) = addition(divergence(X2),antidomain(antidomain(multiplication(star(X2),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X2,antidomain(antidomain(antidomain(antidomain(X1)))))))))))))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50])]) ).

cnf(c_0_54,negated_conjecture,
    divergence(esk1_0) = zero,
    i_0_22 ).

cnf(c_0_55,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_51,c_0_41]) ).

cnf(c_0_56,plain,
    addition(zero,antidomain(zero)) = one,
    inference(spm,[status(thm)],[c_0_43,c_0_52]) ).

cnf(c_0_57,negated_conjecture,
    addition(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1)))))))))))))) = antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1))))))))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_55]) ).

cnf(c_0_58,plain,
    antidomain(zero) = one,
    inference(rw,[status(thm)],[c_0_56,c_0_55]) ).

cnf(c_0_59,plain,
    antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(antidomain(antidomain(antidomain(esk1_0)))))))) = one,
    inference(rw,[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_52]),c_0_58]),c_0_58]),c_0_52]),c_0_58]),c_0_47]),c_0_50]),c_0_58]),c_0_52]),c_0_58]),c_0_47]) ).

cnf(c_0_60,plain,
    multiplication(one,X1) = X1,
    i_0_26 ).

cnf(c_0_61,plain,
    addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
    i_0_15 ).

cnf(c_0_62,plain,
    antidomain(multiplication(star(esk1_0),antidomain(antidomain(antidomain(antidomain(antidomain(esk1_0))))))) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_59]),c_0_60]) ).

cnf(c_0_63,negated_conjecture,
    antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(antidomain(esk1_0)))))) != one,
    i_0_21 ).

cnf(c_0_64,plain,
    antidomain(multiplication(star(esk1_0),antidomain(antidomain(antidomain(esk1_0))))) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_51]) ).

cnf(c_0_65,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64]),c_0_58])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KLE135+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n022.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 09:00:49 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
% 16.49/3.55  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 16.49/3.55  # 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: 44; version: 991; iters: 150)
% 16.49/3.55  # Preprocessing time       : 0.836 s
% 16.49/3.55  # Presaturation interreduction done
% 16.49/3.55  
% 16.49/3.55  # Proof found!
% 16.49/3.55  # SZS status Theorem
% 16.49/3.55  # SZS output start CNFRefutation
% See solution above
% 16.49/3.55  # Training examples: 0 positive, 0 negative
% 16.49/3.55  
% 16.49/3.55  # -------------------------------------------------
% 16.49/3.55  # User time                : 0.887 s
% 16.49/3.55  # System time              : 0.104 s
% 16.49/3.55  # Total time               : 0.991 s
% 16.49/3.55  # ...preprocessing         : 0.836 s
% 16.49/3.55  # ...main loop             : 0.154 s
% 16.49/3.55  # Maximum resident set size: 168396 pages
% 16.49/3.55  
%------------------------------------------------------------------------------