TSTP Solution File: LCL486+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL486+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 09:26:21 EDT 2022

% Result   : Theorem 15.64s 3.31s
% Output   : CNFRefutation 15.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   31 (  17 unt;   0 nHn;  20 RR)
%            Number of literals    :   50 (   3 equ;  22 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   6 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   45 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_38,plain,
    ( is_a_theorem(X1)
    | ~ modus_ponens
    | ~ is_a_theorem(X2)
    | ~ is_a_theorem(implies(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k9ffv7ei/input.p',i_0_38) ).

cnf(i_0_52,plain,
    modus_ponens,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k9ffv7ei/input.p',i_0_52) ).

cnf(i_0_68,plain,
    ( is_a_theorem(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))
    | ~ r4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k9ffv7ei/input.p',i_0_68) ).

cnf(i_0_59,plain,
    r4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k9ffv7ei/input.p',i_0_59) ).

cnf(i_0_44,plain,
    ( or(not(X1),X2) = implies(X1,X2)
    | ~ op_implies_or ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k9ffv7ei/input.p',i_0_44) ).

cnf(i_0_55,plain,
    op_implies_or,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k9ffv7ei/input.p',i_0_55) ).

cnf(i_0_70,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))
    | ~ r5 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k9ffv7ei/input.p',i_0_70) ).

cnf(i_0_60,plain,
    r5,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k9ffv7ei/input.p',i_0_60) ).

cnf(i_0_27,plain,
    ( implies_3
    | ~ is_a_theorem(implies(implies(esk23_0,esk24_0),implies(implies(esk24_0,esk25_0),implies(esk23_0,esk25_0)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k9ffv7ei/input.p',i_0_27) ).

cnf(i_0_19,negated_conjecture,
    ~ implies_3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k9ffv7ei/input.p',i_0_19) ).

cnf(c_0_81,plain,
    ( is_a_theorem(X1)
    | ~ modus_ponens
    | ~ is_a_theorem(X2)
    | ~ is_a_theorem(implies(X2,X1)) ),
    i_0_38 ).

cnf(c_0_82,plain,
    modus_ponens,
    i_0_52 ).

cnf(c_0_83,plain,
    ( is_a_theorem(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))
    | ~ r4 ),
    i_0_68 ).

cnf(c_0_84,plain,
    r4,
    i_0_59 ).

cnf(c_0_85,plain,
    ( is_a_theorem(X1)
    | ~ is_a_theorem(implies(X2,X1))
    | ~ is_a_theorem(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82])]) ).

cnf(c_0_86,plain,
    is_a_theorem(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).

cnf(c_0_87,plain,
    ( or(not(X1),X2) = implies(X1,X2)
    | ~ op_implies_or ),
    i_0_44 ).

cnf(c_0_88,plain,
    op_implies_or,
    i_0_55 ).

cnf(c_0_89,plain,
    ( is_a_theorem(or(X1,or(X2,X3)))
    | ~ is_a_theorem(or(X2,or(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_90,plain,
    or(not(X1),X2) = implies(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88])]) ).

cnf(c_0_91,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))
    | ~ r5 ),
    i_0_70 ).

cnf(c_0_92,plain,
    r5,
    i_0_60 ).

cnf(c_0_93,plain,
    ( is_a_theorem(implies(X1,or(X2,X3)))
    | ~ is_a_theorem(or(X2,implies(X1,X3))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_90]) ).

cnf(c_0_94,plain,
    is_a_theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).

cnf(c_0_95,plain,
    ( implies_3
    | ~ is_a_theorem(implies(implies(esk23_0,esk24_0),implies(implies(esk24_0,esk25_0),implies(esk23_0,esk25_0)))) ),
    i_0_27 ).

cnf(c_0_96,negated_conjecture,
    ~ implies_3,
    i_0_19 ).

cnf(c_0_97,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_90]),c_0_90]) ).

cnf(c_0_98,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_90]),c_0_90]) ).

cnf(c_0_99,plain,
    ~ is_a_theorem(implies(implies(esk23_0,esk24_0),implies(implies(esk24_0,esk25_0),implies(esk23_0,esk25_0)))),
    inference(sr,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_100,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_101,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_100])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL486+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jul  2 18:16:32 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 15.64/3.31  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 15.64/3.31  # 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: 9; version: 991; iters: 150)
% 15.64/3.31  # Preprocessing time       : 0.859 s
% 15.64/3.31  # Presaturation interreduction done
% 15.64/3.31  
% 15.64/3.31  # Proof found!
% 15.64/3.31  # SZS status Theorem
% 15.64/3.31  # SZS output start CNFRefutation
% See solution above
% 15.64/3.31  # Training examples: 0 positive, 0 negative
% 15.64/3.31  
% 15.64/3.31  # -------------------------------------------------
% 15.64/3.31  # User time                : 0.845 s
% 15.64/3.31  # System time              : 0.108 s
% 15.64/3.31  # Total time               : 0.953 s
% 15.64/3.31  # ...preprocessing         : 0.859 s
% 15.64/3.31  # ...main loop             : 0.094 s
% 15.64/3.31  # Maximum resident set size: 166904 pages
% 15.64/3.31  
%------------------------------------------------------------------------------