TSTP Solution File: SEU130+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU130+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 : Tue Jul 19 08:38:40 EDT 2022

% Result   : Theorem 6.77s 2.28s
% Output   : CNFRefutation 6.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   27 (  10 unt;   7 nHn;  17 RR)
%            Number of literals    :   55 (  14 equ;  23 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    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   49 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lkcgmn69/lgb.p',i_0_3) ).

cnf(i_0_22,plain,
    subset(set_intersection2(X1,X2),X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lkcgmn69/lgb.p',i_0_22) ).

cnf(i_0_7,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lkcgmn69/lgb.p',i_0_7) ).

cnf(i_0_12,plain,
    ( in(X1,X2)
    | X2 != set_intersection2(X3,X4)
    | ~ in(X1,X4)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lkcgmn69/lgb.p',i_0_12) ).

cnf(i_0_8,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lkcgmn69/lgb.p',i_0_8) ).

cnf(i_0_24,negated_conjecture,
    subset(esk5_0,esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lkcgmn69/lgb.p',i_0_24) ).

cnf(i_0_2,plain,
    set_intersection2(X1,X2) = set_intersection2(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lkcgmn69/lgb.p',i_0_2) ).

cnf(i_0_6,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lkcgmn69/lgb.p',i_0_6) ).

cnf(i_0_23,negated_conjecture,
    set_intersection2(esk5_0,esk6_0) != esk5_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lkcgmn69/lgb.p',i_0_23) ).

cnf(c_0_34,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    i_0_3 ).

cnf(c_0_35,plain,
    subset(set_intersection2(X1,X2),X1),
    i_0_22 ).

cnf(c_0_36,plain,
    ( set_intersection2(X1,X2) = X1
    | ~ subset(X1,set_intersection2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_37,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    i_0_7 ).

cnf(c_0_38,plain,
    ( in(X1,X2)
    | X2 != set_intersection2(X3,X4)
    | ~ in(X1,X4)
    | ~ in(X1,X3) ),
    i_0_12 ).

cnf(c_0_39,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_8 ).

cnf(c_0_40,plain,
    ( set_intersection2(X1,X2) = X1
    | in(esk1_2(X1,set_intersection2(X1,X2)),X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_41,plain,
    ( in(X1,set_intersection2(X2,X3))
    | ~ in(X1,X3)
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[c_0_38]) ).

cnf(c_0_42,plain,
    ( set_intersection2(X1,X2) = X1
    | in(esk1_2(X1,set_intersection2(X1,X2)),X3)
    | ~ subset(X1,X3) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_43,negated_conjecture,
    subset(esk5_0,esk6_0),
    i_0_24 ).

cnf(c_0_44,plain,
    ( set_intersection2(X1,X2) = X1
    | in(esk1_2(X1,set_intersection2(X1,X2)),set_intersection2(X3,X1))
    | ~ in(esk1_2(X1,set_intersection2(X1,X2)),X3) ),
    inference(spm,[status(thm)],[c_0_41,c_0_40]) ).

cnf(c_0_45,negated_conjecture,
    ( set_intersection2(esk5_0,X1) = esk5_0
    | in(esk1_2(esk5_0,set_intersection2(esk5_0,X1)),esk6_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_46,plain,
    set_intersection2(X1,X2) = set_intersection2(X2,X1),
    i_0_2 ).

cnf(c_0_47,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    i_0_6 ).

cnf(c_0_48,negated_conjecture,
    ( set_intersection2(esk5_0,X1) = esk5_0
    | in(esk1_2(esk5_0,set_intersection2(esk5_0,X1)),set_intersection2(esk5_0,esk6_0)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).

cnf(c_0_49,negated_conjecture,
    set_intersection2(esk5_0,esk6_0) != esk5_0,
    i_0_23 ).

cnf(c_0_50,plain,
    subset(esk5_0,set_intersection2(esk5_0,esk6_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

cnf(c_0_51,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_50]),c_0_35])]),c_0_49]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU130+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % 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 : Mon Jun 20 03:44:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 6.77/2.28  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.77/2.28  # No SInE strategy applied
% 6.77/2.28  # Trying AutoSched0 for 150 seconds
% 6.77/2.28  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S03EI
% 6.77/2.28  # and selection function SelectLComplex.
% 6.77/2.28  #
% 6.77/2.28  # Preprocessing time       : 0.012 s
% 6.77/2.28  # Presaturation interreduction done
% 6.77/2.28  
% 6.77/2.28  # Proof found!
% 6.77/2.28  # SZS status Theorem
% 6.77/2.28  # SZS output start CNFRefutation
% See solution above
% 6.77/2.28  # Training examples: 0 positive, 0 negative
% 6.77/2.28  
% 6.77/2.28  # -------------------------------------------------
% 6.77/2.28  # User time                : 0.034 s
% 6.77/2.28  # System time              : 0.007 s
% 6.77/2.28  # Total time               : 0.041 s
% 6.77/2.28  # Maximum resident set size: 7124 pages
% 6.77/2.28  
%------------------------------------------------------------------------------