TSTP Solution File: LCL490+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL490+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 09:26:22 EDT 2022

% Result   : Theorem 8.83s 2.57s
% Output   : CNFRefutation 8.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   36 (  19 unt;   0 nHn;  22 RR)
%            Number of literals    :   60 (   3 equ;  27 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   47 (   5 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/sandbox/tmp/enigma-theBenchmark.p-yv10rbdl/lgb.p',i_0_38) ).

cnf(i_0_52,plain,
    modus_ponens,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yv10rbdl/lgb.p',i_0_52) ).

cnf(i_0_70,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))
    | ~ r5 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yv10rbdl/lgb.p',i_0_70) ).

cnf(i_0_60,plain,
    r5,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yv10rbdl/lgb.p',i_0_60) ).

cnf(i_0_44,plain,
    ( or(not(X1),X2) = implies(X1,X2)
    | ~ op_implies_or ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yv10rbdl/lgb.p',i_0_44) ).

cnf(i_0_55,plain,
    op_implies_or,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yv10rbdl/lgb.p',i_0_55) ).

cnf(i_0_64,plain,
    ( is_a_theorem(implies(X1,or(X2,X1)))
    | ~ r2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yv10rbdl/lgb.p',i_0_64) ).

cnf(i_0_57,plain,
    r2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yv10rbdl/lgb.p',i_0_57) ).

cnf(i_0_66,plain,
    ( is_a_theorem(implies(or(X1,X2),or(X2,X1)))
    | ~ r3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yv10rbdl/lgb.p',i_0_66) ).

cnf(i_0_58,plain,
    r3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yv10rbdl/lgb.p',i_0_58) ).

cnf(i_0_46,plain,
    ( or_1
    | ~ is_a_theorem(implies(esk36_0,or(esk36_0,esk37_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yv10rbdl/lgb.p',i_0_46) ).

cnf(i_0_22,negated_conjecture,
    ~ or_1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yv10rbdl/lgb.p',i_0_22) ).

cnf(c_0_83,plain,
    ( is_a_theorem(X1)
    | ~ modus_ponens
    | ~ is_a_theorem(X2)
    | ~ is_a_theorem(implies(X2,X1)) ),
    i_0_38 ).

cnf(c_0_84,plain,
    modus_ponens,
    i_0_52 ).

cnf(c_0_85,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))
    | ~ r5 ),
    i_0_70 ).

cnf(c_0_86,plain,
    r5,
    i_0_60 ).

cnf(c_0_87,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_83,c_0_84])]) ).

cnf(c_0_88,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_85,c_0_86])]) ).

cnf(c_0_89,plain,
    ( is_a_theorem(implies(or(X1,X2),or(X1,X3)))
    | ~ is_a_theorem(implies(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_90,plain,
    ( or(not(X1),X2) = implies(X1,X2)
    | ~ op_implies_or ),
    i_0_44 ).

cnf(c_0_91,plain,
    op_implies_or,
    i_0_55 ).

cnf(c_0_92,plain,
    ( is_a_theorem(or(X1,X2))
    | ~ is_a_theorem(or(X1,X3))
    | ~ is_a_theorem(implies(X3,X2)) ),
    inference(spm,[status(thm)],[c_0_87,c_0_89]) ).

cnf(c_0_93,plain,
    or(not(X1),X2) = implies(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91])]) ).

cnf(c_0_94,plain,
    ( is_a_theorem(implies(X1,or(X2,X1)))
    | ~ r2 ),
    i_0_64 ).

cnf(c_0_95,plain,
    r2,
    i_0_57 ).

cnf(c_0_96,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X1,X3))
    | ~ is_a_theorem(implies(X3,X2)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_93]) ).

cnf(c_0_97,plain,
    is_a_theorem(implies(X1,or(X2,X1))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]) ).

cnf(c_0_98,plain,
    ( is_a_theorem(implies(or(X1,X2),or(X2,X1)))
    | ~ r3 ),
    i_0_66 ).

cnf(c_0_99,plain,
    r3,
    i_0_58 ).

cnf(c_0_100,plain,
    ( or_1
    | ~ is_a_theorem(implies(esk36_0,or(esk36_0,esk37_0))) ),
    i_0_46 ).

cnf(c_0_101,negated_conjecture,
    ~ or_1,
    i_0_22 ).

cnf(c_0_102,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(or(X3,X1),X2)) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_103,plain,
    is_a_theorem(implies(or(X1,X2),or(X2,X1))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99])]) ).

cnf(c_0_104,plain,
    ~ is_a_theorem(implies(esk36_0,or(esk36_0,esk37_0))),
    inference(sr,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_105,plain,
    is_a_theorem(implies(X1,or(X1,X2))),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_106,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL490+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n026.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 : Mon Jul  4 03:46:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.46  # Parsing /export/starexec/sandbox/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
% 8.83/2.57  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.83/2.57  # No SInE strategy applied
% 8.83/2.57  # Trying AutoSched0 for 150 seconds
% 8.83/2.57  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 8.83/2.57  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.83/2.57  #
% 8.83/2.57  # Preprocessing time       : 0.022 s
% 8.83/2.57  # Presaturation interreduction done
% 8.83/2.57  
% 8.83/2.57  # Proof found!
% 8.83/2.57  # SZS status Theorem
% 8.83/2.57  # SZS output start CNFRefutation
% See solution above
% 8.83/2.57  # Training examples: 0 positive, 0 negative
% 8.83/2.57  
% 8.83/2.57  # -------------------------------------------------
% 8.83/2.57  # User time                : 0.097 s
% 8.83/2.57  # System time              : 0.009 s
% 8.83/2.57  # Total time               : 0.106 s
% 8.83/2.57  # Maximum resident set size: 7128 pages
% 8.83/2.57  
%------------------------------------------------------------------------------