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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE026+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 01:49:41 EDT 2022

% Result   : Theorem 6.33s 2.18s
% Output   : CNFRefutation 6.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   32 (  24 unt;   0 nHn;  18 RR)
%            Number of literals    :   40 (  25 equ;  11 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   41 (   0 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-o1ed9ref/lgb.p',i_0_1) ).

cnf(i_0_3,plain,
    addition(X1,X1) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1ed9ref/lgb.p',i_0_3) ).

cnf(i_0_21,plain,
    ( addition(X1,X2) = one
    | ~ complement(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1ed9ref/lgb.p',i_0_21) ).

cnf(i_0_19,plain,
    ( complement(esk4_1(X1),X1)
    | ~ test(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1ed9ref/lgb.p',i_0_19) ).

cnf(i_0_6,negated_conjecture,
    multiplication(multiplication(esk2_0,esk1_0),esk3_0) = multiplication(esk2_0,esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1ed9ref/lgb.p',i_0_6) ).

cnf(i_0_11,plain,
    multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1ed9ref/lgb.p',i_0_11) ).

cnf(i_0_10,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1ed9ref/lgb.p',i_0_10) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1ed9ref/lgb.p',i_0_2) ).

cnf(i_0_8,negated_conjecture,
    test(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1ed9ref/lgb.p',i_0_8) ).

cnf(i_0_5,negated_conjecture,
    ~ leq(multiplication(esk2_0,esk1_0),multiplication(esk1_0,esk3_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1ed9ref/lgb.p',i_0_5) ).

cnf(i_0_14,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1ed9ref/lgb.p',i_0_14) ).

cnf(i_0_12,plain,
    multiplication(one,X1) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1ed9ref/lgb.p',i_0_12) ).

cnf(c_0_34,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    i_0_1 ).

cnf(c_0_35,plain,
    addition(X1,X1) = X1,
    i_0_3 ).

cnf(c_0_36,plain,
    ( addition(X1,X2) = one
    | ~ complement(X2,X1) ),
    i_0_21 ).

cnf(c_0_37,plain,
    ( complement(esk4_1(X1),X1)
    | ~ test(X1) ),
    i_0_19 ).

cnf(c_0_38,negated_conjecture,
    multiplication(multiplication(esk2_0,esk1_0),esk3_0) = multiplication(esk2_0,esk1_0),
    i_0_6 ).

cnf(c_0_39,plain,
    multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
    i_0_11 ).

cnf(c_0_40,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_41,plain,
    ( addition(X1,esk4_1(X1)) = one
    | ~ test(X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_42,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    i_0_10 ).

cnf(c_0_43,negated_conjecture,
    multiplication(esk2_0,multiplication(esk1_0,esk3_0)) = multiplication(esk2_0,esk1_0),
    inference(rw,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_45,plain,
    ( addition(X1,one) = one
    | ~ test(X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_46,negated_conjecture,
    test(esk2_0),
    i_0_8 ).

cnf(c_0_47,negated_conjecture,
    ~ leq(multiplication(esk2_0,esk1_0),multiplication(esk1_0,esk3_0)),
    i_0_5 ).

cnf(c_0_48,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    i_0_14 ).

cnf(c_0_49,negated_conjecture,
    addition(multiplication(esk2_0,esk1_0),multiplication(X1,multiplication(esk1_0,esk3_0))) = multiplication(addition(X1,esk2_0),multiplication(esk1_0,esk3_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).

cnf(c_0_50,plain,
    multiplication(one,X1) = X1,
    i_0_12 ).

cnf(c_0_51,negated_conjecture,
    addition(esk2_0,one) = one,
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_52,negated_conjecture,
    addition(multiplication(esk2_0,esk1_0),multiplication(esk1_0,esk3_0)) != multiplication(esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_53,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_44]),c_0_51]),c_0_50]),c_0_52]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KLE026+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 : n015.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 15:06:43 EDT 2022
% 0.12/0.34  % 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
% 6.33/2.18  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.33/2.18  # No SInE strategy applied
% 6.33/2.18  # Trying AutoSched0 for 150 seconds
% 6.33/2.18  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 6.33/2.18  # and selection function SelectComplexExceptUniqMaxHorn.
% 6.33/2.18  #
% 6.33/2.18  # Preprocessing time       : 0.025 s
% 6.33/2.18  # Presaturation interreduction done
% 6.33/2.18  
% 6.33/2.18  # Proof found!
% 6.33/2.18  # SZS status Theorem
% 6.33/2.18  # SZS output start CNFRefutation
% See solution above
% 6.33/2.18  # Training examples: 0 positive, 0 negative
% 6.33/2.18  
% 6.33/2.18  # -------------------------------------------------
% 6.33/2.18  # User time                : 0.036 s
% 6.33/2.18  # System time              : 0.007 s
% 6.33/2.18  # Total time               : 0.043 s
% 6.33/2.18  # Maximum resident set size: 7124 pages
% 6.33/2.18  
%------------------------------------------------------------------------------