TSTP Solution File: SET175+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET175+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 00:10:10 EDT 2022

% Result   : Theorem 8.35s 2.49s
% Output   : CNFRefutation 8.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (   6 unt;   4 nHn;  12 RR)
%            Number of literals    :   32 (   6 equ;  13 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   26 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_20,negated_conjecture,
    union(esk3_0,intersection(esk3_0,esk4_0)) != esk3_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rtprdo2m/lgb.p',i_0_20) ).

cnf(i_0_17,plain,
    ( X1 = X2
    | ~ member(esk2_2(X1,X2),X2)
    | ~ member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rtprdo2m/lgb.p',i_0_17) ).

cnf(i_0_2,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rtprdo2m/lgb.p',i_0_2) ).

cnf(i_0_16,plain,
    ( X1 = X2
    | member(esk2_2(X1,X2),X2)
    | member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rtprdo2m/lgb.p',i_0_16) ).

cnf(i_0_3,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rtprdo2m/lgb.p',i_0_3) ).

cnf(i_0_6,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rtprdo2m/lgb.p',i_0_6) ).

cnf(c_0_27,negated_conjecture,
    union(esk3_0,intersection(esk3_0,esk4_0)) != esk3_0,
    i_0_20 ).

cnf(c_0_28,plain,
    ( X1 = X2
    | ~ member(esk2_2(X1,X2),X2)
    | ~ member(esk2_2(X1,X2),X1) ),
    i_0_17 ).

cnf(c_0_29,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    i_0_2 ).

cnf(c_0_30,plain,
    ( X1 = X2
    | member(esk2_2(X1,X2),X2)
    | member(esk2_2(X1,X2),X1) ),
    i_0_16 ).

cnf(c_0_31,negated_conjecture,
    ~ member(esk2_2(esk3_0,union(esk3_0,intersection(esk3_0,esk4_0))),esk3_0),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28])]),c_0_29]) ).

cnf(c_0_32,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    i_0_3 ).

cnf(c_0_33,negated_conjecture,
    member(esk2_2(esk3_0,union(esk3_0,intersection(esk3_0,esk4_0))),union(esk3_0,intersection(esk3_0,esk4_0))),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_30])]),c_0_31]) ).

cnf(c_0_34,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    i_0_6 ).

cnf(c_0_35,plain,
    member(esk2_2(esk3_0,union(esk3_0,intersection(esk3_0,esk4_0))),intersection(esk3_0,esk4_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_31]) ).

cnf(c_0_36,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_31]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SET175+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul 10 11:13:04 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  # ENIGMATIC: Selected complete mode:
% 8.35/2.49  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.35/2.49  # No SInE strategy applied
% 8.35/2.49  # Trying AutoSched0 for 150 seconds
% 8.35/2.49  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04CA
% 8.35/2.49  # and selection function MSelectComplexExceptUniqMaxHorn.
% 8.35/2.49  #
% 8.35/2.49  # Preprocessing time       : 0.020 s
% 8.35/2.49  # Presaturation interreduction done
% 8.35/2.49  
% 8.35/2.49  # Proof found!
% 8.35/2.49  # SZS status Theorem
% 8.35/2.49  # SZS output start CNFRefutation
% See solution above
% 8.35/2.49  # Training examples: 0 positive, 0 negative
% 8.35/2.49  
% 8.35/2.49  # -------------------------------------------------
% 8.35/2.49  # User time                : 0.046 s
% 8.35/2.49  # System time              : 0.011 s
% 8.35/2.49  # Total time               : 0.056 s
% 8.35/2.49  # Maximum resident set size: 7128 pages
% 8.35/2.49  
%------------------------------------------------------------------------------