TSTP Solution File: SEU104+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU104+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 08:38:29 EDT 2022

% Result   : Theorem 8.06s 2.29s
% Output   : CNFRefutation 8.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   21 (   4 unt;   4 nHn;  17 RR)
%            Number of literals    :   46 (   0 equ;  29 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_49,plain,
    ( preboolean(X1)
    | ~ in(set_difference(esk11_1(X1),esk12_1(X1)),X1)
    | ~ in(symmetric_difference(esk11_1(X1),set_difference(esk12_1(X1),esk11_1(X1))),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-501bfazz/input.p',i_0_49) ).

cnf(i_0_56,negated_conjecture,
    ( in(symmetric_difference(X1,X2),esk13_0)
    | ~ element(X2,esk13_0)
    | ~ element(X1,esk13_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-501bfazz/input.p',i_0_56) ).

cnf(i_0_54,negated_conjecture,
    ~ preboolean(esk13_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-501bfazz/input.p',i_0_54) ).

cnf(i_0_59,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-501bfazz/input.p',i_0_59) ).

cnf(i_0_55,negated_conjecture,
    ( in(set_difference(X1,X2),esk13_0)
    | ~ element(X2,esk13_0)
    | ~ element(X1,esk13_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-501bfazz/input.p',i_0_55) ).

cnf(i_0_50,plain,
    ( preboolean(X1)
    | in(esk12_1(X1),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-501bfazz/input.p',i_0_50) ).

cnf(i_0_51,plain,
    ( preboolean(X1)
    | in(esk11_1(X1),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-501bfazz/input.p',i_0_51) ).

cnf(c_0_67,plain,
    ( preboolean(X1)
    | ~ in(set_difference(esk11_1(X1),esk12_1(X1)),X1)
    | ~ in(symmetric_difference(esk11_1(X1),set_difference(esk12_1(X1),esk11_1(X1))),X1) ),
    i_0_49 ).

cnf(c_0_68,negated_conjecture,
    ( in(symmetric_difference(X1,X2),esk13_0)
    | ~ element(X2,esk13_0)
    | ~ element(X1,esk13_0) ),
    i_0_56 ).

cnf(c_0_69,negated_conjecture,
    ~ preboolean(esk13_0),
    i_0_54 ).

cnf(c_0_70,negated_conjecture,
    ( ~ in(set_difference(esk11_1(esk13_0),esk12_1(esk13_0)),esk13_0)
    | ~ element(set_difference(esk12_1(esk13_0),esk11_1(esk13_0)),esk13_0)
    | ~ element(esk11_1(esk13_0),esk13_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).

cnf(c_0_71,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    i_0_59 ).

cnf(c_0_72,plain,
    ( ~ in(set_difference(esk11_1(esk13_0),esk12_1(esk13_0)),esk13_0)
    | ~ in(set_difference(esk12_1(esk13_0),esk11_1(esk13_0)),esk13_0)
    | ~ element(esk11_1(esk13_0),esk13_0) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_73,negated_conjecture,
    ( in(set_difference(X1,X2),esk13_0)
    | ~ element(X2,esk13_0)
    | ~ element(X1,esk13_0) ),
    i_0_55 ).

cnf(c_0_74,negated_conjecture,
    ( ~ element(esk11_1(esk13_0),esk13_0)
    | ~ element(esk12_1(esk13_0),esk13_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_73]) ).

cnf(c_0_75,plain,
    ( ~ in(esk12_1(esk13_0),esk13_0)
    | ~ element(esk11_1(esk13_0),esk13_0) ),
    inference(spm,[status(thm)],[c_0_74,c_0_71]) ).

cnf(c_0_76,plain,
    ( ~ in(esk12_1(esk13_0),esk13_0)
    | ~ in(esk11_1(esk13_0),esk13_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_71]) ).

cnf(c_0_77,plain,
    ( preboolean(X1)
    | in(esk12_1(X1),X1) ),
    i_0_50 ).

cnf(c_0_78,plain,
    ~ in(esk11_1(esk13_0),esk13_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_69]) ).

cnf(c_0_79,plain,
    ( preboolean(X1)
    | in(esk11_1(X1),X1) ),
    i_0_51 ).

cnf(c_0_80,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_69]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU104+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n012.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sun Jun 19 08:37:24 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.06/2.29  # ENIGMATIC: Solved by autoschedule:
% 8.06/2.29  # No SInE strategy applied
% 8.06/2.29  # Trying AutoSched0 for 150 seconds
% 8.06/2.29  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 8.06/2.29  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.06/2.29  #
% 8.06/2.29  # Preprocessing time       : 0.025 s
% 8.06/2.29  
% 8.06/2.29  # Proof found!
% 8.06/2.29  # SZS status Theorem
% 8.06/2.29  # SZS output start CNFRefutation
% See solution above
% 8.06/2.29  # Training examples: 0 positive, 0 negative
% 8.06/2.29  
% 8.06/2.29  # -------------------------------------------------
% 8.06/2.29  # User time                : 0.033 s
% 8.06/2.29  # System time              : 0.008 s
% 8.06/2.29  # Total time               : 0.041 s
% 8.06/2.29  # Maximum resident set size: 7120 pages
% 8.06/2.29  
%------------------------------------------------------------------------------