TSTP Solution File: SET575+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET575+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n003.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 00:12:20 EDT 2022

% Result   : Theorem 6.70s 2.16s
% Output   : CNFRefutation 6.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (   4 unt;   0 nHn;  13 RR)
%            Number of literals    :   22 (   0 equ;  12 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_5,negated_conjecture,
    ( ~ member(X1,esk2_0)
    | ~ member(X1,esk3_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7ztulu7/input.p',i_0_5) ).

cnf(i_0_2,plain,
    ( member(esk1_2(X1,X2),X2)
    | ~ intersect(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7ztulu7/input.p',i_0_2) ).

cnf(i_0_4,plain,
    ( intersect(X1,X2)
    | ~ intersect(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7ztulu7/input.p',i_0_4) ).

cnf(i_0_6,negated_conjecture,
    intersect(esk2_0,esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7ztulu7/input.p',i_0_6) ).

cnf(i_0_3,plain,
    ( member(esk1_2(X1,X2),X1)
    | ~ intersect(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7ztulu7/input.p',i_0_3) ).

cnf(c_0_12,negated_conjecture,
    ( ~ member(X1,esk2_0)
    | ~ member(X1,esk3_0) ),
    i_0_5 ).

cnf(c_0_13,plain,
    ( member(esk1_2(X1,X2),X2)
    | ~ intersect(X1,X2) ),
    i_0_2 ).

cnf(c_0_14,plain,
    ( intersect(X1,X2)
    | ~ intersect(X2,X1) ),
    i_0_4 ).

cnf(c_0_15,negated_conjecture,
    intersect(esk2_0,esk3_0),
    i_0_6 ).

cnf(c_0_16,negated_conjecture,
    ( ~ member(esk1_2(X1,esk2_0),esk3_0)
    | ~ intersect(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,plain,
    ( member(esk1_2(X1,X2),X1)
    | ~ intersect(X1,X2) ),
    i_0_3 ).

cnf(c_0_18,negated_conjecture,
    intersect(esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET575+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 14:38:31 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 6.70/2.16  # ENIGMATIC: Solved by autoschedule:
% 6.70/2.16  # No SInE strategy applied
% 6.70/2.16  # Trying AutoSched0 for 150 seconds
% 6.70/2.16  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S033I
% 6.70/2.16  # and selection function PSelectUnlessUniqMax.
% 6.70/2.16  #
% 6.70/2.16  # Preprocessing time       : 0.023 s
% 6.70/2.16  # Presaturation interreduction done
% 6.70/2.16  
% 6.70/2.16  # Proof found!
% 6.70/2.16  # SZS status Theorem
% 6.70/2.16  # SZS output start CNFRefutation
% See solution above
% 6.70/2.16  # Training examples: 0 positive, 0 negative
% 6.70/2.16  
% 6.70/2.16  # -------------------------------------------------
% 6.70/2.16  # User time                : 0.023 s
% 6.70/2.16  # System time              : 0.006 s
% 6.70/2.16  # Total time               : 0.029 s
% 6.70/2.16  # Maximum resident set size: 7124 pages
% 6.70/2.16  
%------------------------------------------------------------------------------