TSTP Solution File: SEU140+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU140+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 08:38:46 EDT 2022

% Result   : Theorem 7.18s 2.30s
% Output   : CNFRefutation 7.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   30 (  13 unt;   7 nHn;  25 RR)
%            Number of literals    :   54 (   7 equ;  26 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   40 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_80,negated_conjecture,
    ~ disjoint(esk11_0,esk13_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kn5pdczj/input.p',i_0_80) ).

cnf(i_0_70,lemma,
    ( disjoint(X1,X2)
    | in(esk9_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kn5pdczj/input.p',i_0_70) ).

cnf(i_0_69,lemma,
    ( ~ in(X1,X2)
    | ~ in(X1,X3)
    | ~ disjoint(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kn5pdczj/input.p',i_0_69) ).

cnf(i_0_51,plain,
    ( disjoint(X1,X2)
    | ~ disjoint(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kn5pdczj/input.p',i_0_51) ).

cnf(i_0_81,negated_conjecture,
    disjoint(esk12_0,esk13_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kn5pdczj/input.p',i_0_81) ).

cnf(i_0_28,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X2 != set_difference(X4,X3)
    | ~ in(X1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kn5pdczj/input.p',i_0_28) ).

cnf(i_0_46,lemma,
    ( set_difference(X1,X2) = empty_set
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kn5pdczj/input.p',i_0_46) ).

cnf(i_0_82,negated_conjecture,
    subset(esk11_0,esk12_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kn5pdczj/input.p',i_0_82) ).

cnf(i_0_9,plain,
    ( X1 != empty_set
    | ~ in(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kn5pdczj/input.p',i_0_9) ).

cnf(i_0_71,lemma,
    ( disjoint(X1,X2)
    | in(esk9_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kn5pdczj/input.p',i_0_71) ).

cnf(c_0_93,negated_conjecture,
    ~ disjoint(esk11_0,esk13_0),
    i_0_80 ).

cnf(c_0_94,lemma,
    ( disjoint(X1,X2)
    | in(esk9_2(X1,X2),X2) ),
    i_0_70 ).

cnf(c_0_95,lemma,
    ( ~ in(X1,X2)
    | ~ in(X1,X3)
    | ~ disjoint(X3,X2) ),
    i_0_69 ).

cnf(c_0_96,negated_conjecture,
    in(esk9_2(esk11_0,esk13_0),esk13_0),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_97,plain,
    ( disjoint(X1,X2)
    | ~ disjoint(X2,X1) ),
    i_0_51 ).

cnf(c_0_98,negated_conjecture,
    disjoint(esk12_0,esk13_0),
    i_0_81 ).

cnf(c_0_99,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X2 != set_difference(X4,X3)
    | ~ in(X1,X4) ),
    i_0_28 ).

cnf(c_0_100,lemma,
    ( set_difference(X1,X2) = empty_set
    | ~ subset(X1,X2) ),
    i_0_46 ).

cnf(c_0_101,negated_conjecture,
    subset(esk11_0,esk12_0),
    i_0_82 ).

cnf(c_0_102,plain,
    ( X1 != empty_set
    | ~ in(X2,X1) ),
    i_0_9 ).

cnf(c_0_103,lemma,
    ( ~ in(esk9_2(esk11_0,esk13_0),X1)
    | ~ disjoint(esk13_0,X1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_104,negated_conjecture,
    disjoint(esk13_0,esk12_0),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_105,plain,
    ( in(X1,set_difference(X2,X3))
    | in(X1,X3)
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[c_0_99]) ).

cnf(c_0_106,negated_conjecture,
    set_difference(esk11_0,esk12_0) = empty_set,
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_107,plain,
    ~ in(X1,empty_set),
    inference(er,[status(thm)],[c_0_102]) ).

cnf(c_0_108,lemma,
    ( disjoint(X1,X2)
    | in(esk9_2(X1,X2),X1) ),
    i_0_71 ).

cnf(c_0_109,negated_conjecture,
    ~ in(esk9_2(esk11_0,esk13_0),esk12_0),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_110,plain,
    ( in(X1,esk12_0)
    | ~ in(X1,esk11_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]) ).

cnf(c_0_111,negated_conjecture,
    in(esk9_2(esk11_0,esk13_0),esk11_0),
    inference(spm,[status(thm)],[c_0_93,c_0_108]) ).

cnf(c_0_112,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU140+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n011.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 : Mon Jun 20 09:44:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.18/2.30  # ENIGMATIC: Solved by autoschedule:
% 7.18/2.30  # No SInE strategy applied
% 7.18/2.30  # Trying AutoSched0 for 150 seconds
% 7.18/2.30  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 7.18/2.30  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.18/2.30  #
% 7.18/2.30  # Preprocessing time       : 0.024 s
% 7.18/2.30  # Presaturation interreduction done
% 7.18/2.30  
% 7.18/2.30  # Proof found!
% 7.18/2.30  # SZS status Theorem
% 7.18/2.30  # SZS output start CNFRefutation
% See solution above
% 7.18/2.30  # Training examples: 0 positive, 0 negative
% 7.18/2.30  
% 7.18/2.30  # -------------------------------------------------
% 7.18/2.30  # User time                : 0.046 s
% 7.18/2.30  # System time              : 0.004 s
% 7.18/2.30  # Total time               : 0.051 s
% 7.18/2.30  # Maximum resident set size: 7124 pages
% 7.18/2.30  
%------------------------------------------------------------------------------