TSTP Solution File: SET766+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET766+4 : TPTP v8.1.0. Released v2.2.0.
% 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 : Tue Jul 19 00:13:57 EDT 2022

% Result   : Theorem 7.69s 2.39s
% Output   : CNFRefutation 7.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (   8 unt;   0 nHn;  16 RR)
%            Number of literals    :   29 (   0 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-3 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_129,plain,
    ( apply(X1,X2,X2)
    | ~ member(X2,X3)
    | ~ epred1_2(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gvash9va/lgb.p',i_0_129) ).

cnf(i_0_12,plain,
    ( epred1_2(X1,X2)
    | ~ equivalence(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gvash9va/lgb.p',i_0_12) ).

cnf(i_0_70,negated_conjecture,
    ~ member(esk17_0,equivalence_class(esk17_0,esk15_0,esk16_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gvash9va/lgb.p',i_0_70) ).

cnf(i_0_13,plain,
    ( member(X1,equivalence_class(X2,X3,X4))
    | ~ member(X1,X3)
    | ~ apply(X4,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gvash9va/lgb.p',i_0_13) ).

cnf(i_0_71,negated_conjecture,
    member(esk17_0,esk15_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gvash9va/lgb.p',i_0_71) ).

cnf(i_0_72,negated_conjecture,
    equivalence(esk16_0,esk15_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gvash9va/lgb.p',i_0_72) ).

cnf(c_0_136,plain,
    ( apply(X1,X2,X2)
    | ~ member(X2,X3)
    | ~ epred1_2(X1,X3) ),
    i_0_129 ).

cnf(c_0_137,plain,
    ( epred1_2(X1,X2)
    | ~ equivalence(X1,X2) ),
    i_0_12 ).

cnf(c_0_138,negated_conjecture,
    ~ member(esk17_0,equivalence_class(esk17_0,esk15_0,esk16_0)),
    i_0_70 ).

cnf(c_0_139,plain,
    ( member(X1,equivalence_class(X2,X3,X4))
    | ~ member(X1,X3)
    | ~ apply(X4,X2,X1) ),
    i_0_13 ).

cnf(c_0_140,negated_conjecture,
    member(esk17_0,esk15_0),
    i_0_71 ).

cnf(c_0_141,plain,
    ( apply(X1,X2,X2)
    | ~ equivalence(X1,X3)
    | ~ member(X2,X3) ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_142,negated_conjecture,
    equivalence(esk16_0,esk15_0),
    i_0_72 ).

cnf(c_0_143,negated_conjecture,
    ~ apply(esk16_0,esk17_0,esk17_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140])]) ).

cnf(c_0_144,negated_conjecture,
    ( apply(esk16_0,X1,X1)
    | ~ member(X1,esk15_0) ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_145,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_140])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET766+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n026.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 : Sun Jul 10 08:08:58 EDT 2022
% 0.13/0.34  % 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
% 7.69/2.39  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.69/2.39  # No SInE strategy applied
% 7.69/2.39  # Trying AutoSched0 for 150 seconds
% 7.69/2.39  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 7.69/2.39  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.69/2.39  #
% 7.69/2.39  # Preprocessing time       : 0.013 s
% 7.69/2.39  
% 7.69/2.39  # Proof found!
% 7.69/2.39  # SZS status Theorem
% 7.69/2.39  # SZS output start CNFRefutation
% See solution above
% 7.69/2.39  # Training examples: 0 positive, 0 negative
% 7.69/2.39  
% 7.69/2.39  # -------------------------------------------------
% 7.69/2.39  # User time                : 0.020 s
% 7.69/2.39  # System time              : 0.001 s
% 7.69/2.39  # Total time               : 0.021 s
% 7.69/2.39  # Maximum resident set size: 7124 pages
% 7.69/2.39  
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