TSTP Solution File: SEU132+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU132+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 08:38:41 EDT 2022

% Result   : Theorem 10.81s 2.80s
% Output   : CNFRefutation 10.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   26 (  10 unt;   5 nHn;  23 RR)
%            Number of literals    :   53 (   6 equ;  30 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   :   48 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_28,plain,
    ( X1 != set_difference(X2,X3)
    | ~ in(X4,X1)
    | ~ in(X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-drc3iqsw/input.p',i_0_28) ).

cnf(i_0_58,negated_conjecture,
    ~ subset(set_difference(esk9_0,esk11_0),set_difference(esk10_0,esk11_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-drc3iqsw/input.p',i_0_58) ).

cnf(i_0_16,plain,
    ( subset(X1,X2)
    | in(esk3_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-drc3iqsw/input.p',i_0_16) ).

cnf(i_0_15,plain,
    ( subset(X1,X2)
    | ~ in(esk3_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-drc3iqsw/input.p',i_0_15) ).

cnf(i_0_27,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X2 != set_difference(X4,X3)
    | ~ in(X1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-drc3iqsw/input.p',i_0_27) ).

cnf(i_0_29,plain,
    ( in(X1,X2)
    | X3 != set_difference(X2,X4)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-drc3iqsw/input.p',i_0_29) ).

cnf(i_0_17,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-drc3iqsw/input.p',i_0_17) ).

cnf(i_0_59,negated_conjecture,
    subset(esk9_0,esk10_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-drc3iqsw/input.p',i_0_59) ).

cnf(c_0_68,plain,
    ( X1 != set_difference(X2,X3)
    | ~ in(X4,X1)
    | ~ in(X4,X3) ),
    i_0_28 ).

cnf(c_0_69,negated_conjecture,
    ~ subset(set_difference(esk9_0,esk11_0),set_difference(esk10_0,esk11_0)),
    i_0_58 ).

cnf(c_0_70,plain,
    ( subset(X1,X2)
    | in(esk3_2(X1,X2),X1) ),
    i_0_16 ).

cnf(c_0_71,plain,
    ( subset(X1,X2)
    | ~ in(esk3_2(X1,X2),X2) ),
    i_0_15 ).

cnf(c_0_72,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X2 != set_difference(X4,X3)
    | ~ in(X1,X4) ),
    i_0_27 ).

cnf(c_0_73,plain,
    ( ~ in(X1,set_difference(X2,X3))
    | ~ in(X1,X3) ),
    inference(er,[status(thm)],[c_0_68]) ).

cnf(c_0_74,negated_conjecture,
    in(esk3_2(set_difference(esk9_0,esk11_0),set_difference(esk10_0,esk11_0)),set_difference(esk9_0,esk11_0)),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_75,plain,
    ( in(X1,X2)
    | X3 != set_difference(X2,X4)
    | ~ in(X1,X3) ),
    i_0_29 ).

cnf(c_0_76,negated_conjecture,
    ~ in(esk3_2(set_difference(esk9_0,esk11_0),set_difference(esk10_0,esk11_0)),set_difference(esk10_0,esk11_0)),
    inference(spm,[status(thm)],[c_0_69,c_0_71]) ).

cnf(c_0_77,plain,
    ( in(X1,set_difference(X2,X3))
    | in(X1,X3)
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[c_0_72]) ).

cnf(c_0_78,plain,
    ~ in(esk3_2(set_difference(esk9_0,esk11_0),set_difference(esk10_0,esk11_0)),esk11_0),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_79,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_17 ).

cnf(c_0_80,negated_conjecture,
    subset(esk9_0,esk10_0),
    i_0_59 ).

cnf(c_0_81,plain,
    ( in(X1,X2)
    | ~ in(X1,set_difference(X2,X3)) ),
    inference(er,[status(thm)],[c_0_75]) ).

cnf(c_0_82,plain,
    ~ in(esk3_2(set_difference(esk9_0,esk11_0),set_difference(esk10_0,esk11_0)),esk10_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).

cnf(c_0_83,negated_conjecture,
    ( in(X1,esk10_0)
    | ~ in(X1,esk9_0) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_84,plain,
    in(esk3_2(set_difference(esk9_0,esk11_0),set_difference(esk10_0,esk11_0)),esk9_0),
    inference(spm,[status(thm)],[c_0_81,c_0_74]) ).

cnf(c_0_85,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SEU132+2 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.15/0.36  % Computer : n013.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sat Jun 18 20:54:45 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.47  # ENIGMATIC: Selected complete mode:
% 10.81/2.80  # ENIGMATIC: Solved by autoschedule:
% 10.81/2.80  # No SInE strategy applied
% 10.81/2.80  # Trying AutoSched0 for 150 seconds
% 10.81/2.80  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 10.81/2.80  # and selection function SelectMaxLComplexAvoidPosPred.
% 10.81/2.80  #
% 10.81/2.80  # Preprocessing time       : 0.014 s
% 10.81/2.80  # Presaturation interreduction done
% 10.81/2.80  
% 10.81/2.80  # Proof found!
% 10.81/2.80  # SZS status Theorem
% 10.81/2.80  # SZS output start CNFRefutation
% See solution above
% 10.81/2.80  # Training examples: 0 positive, 0 negative
% 10.81/2.80  
% 10.81/2.80  # -------------------------------------------------
% 10.81/2.80  # User time                : 0.025 s
% 10.81/2.80  # System time              : 0.006 s
% 10.81/2.80  # Total time               : 0.031 s
% 10.81/2.80  # Maximum resident set size: 7124 pages
% 10.81/2.80  
%------------------------------------------------------------------------------