TSTP Solution File: SEU129+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU129+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n006.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 08:38:39 EDT 2022

% Result   : Theorem 7.05s 2.22s
% Output   : CNFRefutation 7.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   27 (  10 unt;   2 nHn;  25 RR)
%            Number of literals    :   55 (   6 equ;  28 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   49 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X2,X4)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eodpuy01/input.p',i_0_11) ).

cnf(i_0_19,negated_conjecture,
    ~ subset(set_intersection2(esk5_0,esk7_0),set_intersection2(esk6_0,esk7_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eodpuy01/input.p',i_0_19) ).

cnf(i_0_4,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eodpuy01/input.p',i_0_4) ).

cnf(i_0_10,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X4,X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eodpuy01/input.p',i_0_10) ).

cnf(i_0_9,plain,
    ( in(X1,X2)
    | X2 != set_intersection2(X3,X4)
    | ~ in(X1,X4)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eodpuy01/input.p',i_0_9) ).

cnf(i_0_5,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eodpuy01/input.p',i_0_5) ).

cnf(i_0_20,negated_conjecture,
    subset(esk5_0,esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eodpuy01/input.p',i_0_20) ).

cnf(i_0_3,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eodpuy01/input.p',i_0_3) ).

cnf(c_0_29,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X2,X4)
    | ~ in(X1,X3) ),
    i_0_11 ).

cnf(c_0_30,negated_conjecture,
    ~ subset(set_intersection2(esk5_0,esk7_0),set_intersection2(esk6_0,esk7_0)),
    i_0_19 ).

cnf(c_0_31,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    i_0_4 ).

cnf(c_0_32,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X4,X2)
    | ~ in(X1,X3) ),
    i_0_10 ).

cnf(c_0_33,plain,
    ( in(X1,X2)
    | ~ in(X1,set_intersection2(X2,X3)) ),
    inference(er,[status(thm)],[c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    in(esk1_2(set_intersection2(esk5_0,esk7_0),set_intersection2(esk6_0,esk7_0)),set_intersection2(esk5_0,esk7_0)),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_35,plain,
    ( in(X1,X2)
    | X2 != set_intersection2(X3,X4)
    | ~ in(X1,X4)
    | ~ in(X1,X3) ),
    i_0_9 ).

cnf(c_0_36,plain,
    ( in(X1,X2)
    | ~ in(X1,set_intersection2(X3,X2)) ),
    inference(er,[status(thm)],[c_0_32]) ).

cnf(c_0_37,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_5 ).

cnf(c_0_38,plain,
    in(esk1_2(set_intersection2(esk5_0,esk7_0),set_intersection2(esk6_0,esk7_0)),esk5_0),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,plain,
    ( in(X1,set_intersection2(X2,X3))
    | ~ in(X1,X3)
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[c_0_35]) ).

cnf(c_0_40,plain,
    in(esk1_2(set_intersection2(esk5_0,esk7_0),set_intersection2(esk6_0,esk7_0)),esk7_0),
    inference(spm,[status(thm)],[c_0_36,c_0_34]) ).

cnf(c_0_41,plain,
    ( in(esk1_2(set_intersection2(esk5_0,esk7_0),set_intersection2(esk6_0,esk7_0)),X1)
    | ~ subset(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,negated_conjecture,
    subset(esk5_0,esk6_0),
    i_0_20 ).

cnf(c_0_43,plain,
    ( in(esk1_2(set_intersection2(esk5_0,esk7_0),set_intersection2(esk6_0,esk7_0)),set_intersection2(X1,esk7_0))
    | ~ in(esk1_2(set_intersection2(esk5_0,esk7_0),set_intersection2(esk6_0,esk7_0)),X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_44,negated_conjecture,
    in(esk1_2(set_intersection2(esk5_0,esk7_0),set_intersection2(esk6_0,esk7_0)),esk6_0),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_45,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    i_0_3 ).

cnf(c_0_46,negated_conjecture,
    in(esk1_2(set_intersection2(esk5_0,esk7_0),set_intersection2(esk6_0,esk7_0)),set_intersection2(esk6_0,esk7_0)),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_30]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU129+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n006.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 : Sun Jun 19 12:29:12 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.05/2.22  # ENIGMATIC: Solved by autoschedule:
% 7.05/2.22  # No SInE strategy applied
% 7.05/2.22  # Trying AutoSched0 for 150 seconds
% 7.05/2.22  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S03EI
% 7.05/2.22  # and selection function SelectLComplex.
% 7.05/2.22  #
% 7.05/2.22  # Preprocessing time       : 0.013 s
% 7.05/2.22  # Presaturation interreduction done
% 7.05/2.22  
% 7.05/2.22  # Proof found!
% 7.05/2.22  # SZS status Theorem
% 7.05/2.22  # SZS output start CNFRefutation
% See solution above
% 7.05/2.22  # Training examples: 0 positive, 0 negative
% 7.05/2.22  
% 7.05/2.22  # -------------------------------------------------
% 7.05/2.22  # User time                : 0.015 s
% 7.05/2.22  # System time              : 0.008 s
% 7.05/2.22  # Total time               : 0.023 s
% 7.05/2.22  # Maximum resident set size: 7124 pages
% 7.05/2.22  
%------------------------------------------------------------------------------