TSTP Solution File: SEU056+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU056+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n009.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 08:38:14 EDT 2022

% Result   : Theorem 7.89s 2.43s
% Output   : CNFRefutation 7.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   23 (  15 unt;   0 nHn;  20 RR)
%            Number of literals    :   35 (  12 equ;  14 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_42,plain,
    ( set_intersection2(relation_image(X1,X2),relation_image(X1,X3)) = relation_image(X1,set_intersection2(X2,X3))
    | ~ function(X1)
    | ~ relation(X1)
    | ~ one_to_one(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5u4mmsve/input.p',i_0_42) ).

cnf(i_0_44,negated_conjecture,
    one_to_one(esk14_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5u4mmsve/input.p',i_0_44) ).

cnf(i_0_47,negated_conjecture,
    relation(esk14_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5u4mmsve/input.p',i_0_47) ).

cnf(i_0_46,negated_conjecture,
    function(esk14_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5u4mmsve/input.p',i_0_46) ).

cnf(i_0_9,plain,
    ( set_intersection2(X1,X2) = empty_set
    | ~ disjoint(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5u4mmsve/input.p',i_0_9) ).

cnf(i_0_45,negated_conjecture,
    disjoint(esk12_0,esk13_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5u4mmsve/input.p',i_0_45) ).

cnf(i_0_48,plain,
    ( relation_image(X1,empty_set) = empty_set
    | ~ relation(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5u4mmsve/input.p',i_0_48) ).

cnf(i_0_8,plain,
    ( disjoint(X1,X2)
    | set_intersection2(X1,X2) != empty_set ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5u4mmsve/input.p',i_0_8) ).

cnf(i_0_43,negated_conjecture,
    ~ disjoint(relation_image(esk14_0,esk12_0),relation_image(esk14_0,esk13_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5u4mmsve/input.p',i_0_43) ).

cnf(c_0_58,plain,
    ( set_intersection2(relation_image(X1,X2),relation_image(X1,X3)) = relation_image(X1,set_intersection2(X2,X3))
    | ~ function(X1)
    | ~ relation(X1)
    | ~ one_to_one(X1) ),
    i_0_42 ).

cnf(c_0_59,negated_conjecture,
    one_to_one(esk14_0),
    i_0_44 ).

cnf(c_0_60,negated_conjecture,
    relation(esk14_0),
    i_0_47 ).

cnf(c_0_61,negated_conjecture,
    function(esk14_0),
    i_0_46 ).

cnf(c_0_62,plain,
    ( set_intersection2(X1,X2) = empty_set
    | ~ disjoint(X1,X2) ),
    i_0_9 ).

cnf(c_0_63,negated_conjecture,
    disjoint(esk12_0,esk13_0),
    i_0_45 ).

cnf(c_0_64,plain,
    ( relation_image(X1,empty_set) = empty_set
    | ~ relation(X1) ),
    i_0_48 ).

cnf(c_0_65,negated_conjecture,
    relation_image(esk14_0,set_intersection2(X1,X2)) = set_intersection2(relation_image(esk14_0,X1),relation_image(esk14_0,X2)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_61])]) ).

cnf(c_0_66,negated_conjecture,
    set_intersection2(esk12_0,esk13_0) = empty_set,
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_67,negated_conjecture,
    relation_image(esk14_0,empty_set) = empty_set,
    inference(spm,[status(thm)],[c_0_64,c_0_60]) ).

cnf(c_0_68,plain,
    ( disjoint(X1,X2)
    | set_intersection2(X1,X2) != empty_set ),
    i_0_8 ).

cnf(c_0_69,negated_conjecture,
    set_intersection2(relation_image(esk14_0,esk12_0),relation_image(esk14_0,esk13_0)) = empty_set,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).

cnf(c_0_70,negated_conjecture,
    ~ disjoint(relation_image(esk14_0,esk12_0),relation_image(esk14_0,esk13_0)),
    i_0_43 ).

cnf(c_0_71,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SEU056+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n009.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sun Jun 19 20:19:54 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.47  # ENIGMATIC: Selected complete mode:
% 7.89/2.43  # ENIGMATIC: Solved by autoschedule:
% 7.89/2.43  # No SInE strategy applied
% 7.89/2.43  # Trying AutoSched0 for 150 seconds
% 7.89/2.43  # AutoSched0-Mode selected heuristic G_E___200_B02_F1_SE_CS_SP_PI_S0S
% 7.89/2.43  # and selection function SelectComplexG.
% 7.89/2.43  #
% 7.89/2.43  # Preprocessing time       : 0.013 s
% 7.89/2.43  
% 7.89/2.43  # Proof found!
% 7.89/2.43  # SZS status Theorem
% 7.89/2.43  # SZS output start CNFRefutation
% See solution above
% 7.89/2.43  # Training examples: 0 positive, 0 negative
% 7.89/2.43  
% 7.89/2.43  # -------------------------------------------------
% 7.89/2.43  # User time                : 0.019 s
% 7.89/2.43  # System time              : 0.004 s
% 7.89/2.43  # Total time               : 0.023 s
% 7.89/2.43  # Maximum resident set size: 7120 pages
% 7.89/2.43  
%------------------------------------------------------------------------------