TSTP Solution File: SEU141+2 by Enigma---0.5.1

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU141+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n005.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 08:38:47 EDT 2022

% Result   : Theorem 7.32s 2.35s
% Output   : CNFRefutation 7.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   29 (  11 unt;   7 nHn;  20 RR)
%            Number of literals    :   56 (  23 equ;  24 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-3 aty)
%            Number of variables   :   34 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_85,negated_conjecture,
    ( set_difference(esk11_0,esk12_0) != esk11_0
    | ~ disjoint(esk11_0,esk12_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlmxz7hw/input.p',i_0_85) ).

cnf(i_0_31,plain,
    ( disjoint(X1,X2)
    | set_difference(X1,set_difference(X1,X2)) != empty_set ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlmxz7hw/input.p',i_0_31) ).

cnf(i_0_59,plain,
    set_difference(X1,set_difference(X1,empty_set)) = empty_set,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlmxz7hw/input.p',i_0_59) ).

cnf(i_0_68,plain,
    set_difference(X1,empty_set) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlmxz7hw/input.p',i_0_68) ).

cnf(i_0_26,plain,
    ( X1 = set_difference(X2,X3)
    | in(esk5_3(X2,X3,X1),X1)
    | in(esk5_3(X2,X3,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlmxz7hw/input.p',i_0_26) ).

cnf(i_0_27,plain,
    ( X1 = set_difference(X2,X3)
    | in(esk5_3(X2,X3,X1),X3)
    | ~ in(esk5_3(X2,X3,X1),X1)
    | ~ in(esk5_3(X2,X3,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlmxz7hw/input.p',i_0_27) ).

cnf(i_0_69,lemma,
    ( ~ in(X1,X2)
    | ~ in(X1,X3)
    | ~ disjoint(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlmxz7hw/input.p',i_0_69) ).

cnf(i_0_84,negated_conjecture,
    ( set_difference(esk11_0,esk12_0) = esk11_0
    | disjoint(esk11_0,esk12_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlmxz7hw/input.p',i_0_84) ).

cnf(i_0_46,lemma,
    ( set_difference(X1,X2) = empty_set
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlmxz7hw/input.p',i_0_46) ).

cnf(i_0_50,plain,
    subset(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlmxz7hw/input.p',i_0_50) ).

cnf(c_0_96,negated_conjecture,
    ( set_difference(esk11_0,esk12_0) != esk11_0
    | ~ disjoint(esk11_0,esk12_0) ),
    i_0_85 ).

cnf(c_0_97,plain,
    ( disjoint(X1,X2)
    | set_difference(X1,set_difference(X1,X2)) != empty_set ),
    i_0_31 ).

cnf(c_0_98,plain,
    set_difference(X1,set_difference(X1,empty_set)) = empty_set,
    i_0_59 ).

cnf(c_0_99,plain,
    set_difference(X1,empty_set) = X1,
    i_0_68 ).

cnf(c_0_100,negated_conjecture,
    ( set_difference(esk11_0,set_difference(esk11_0,esk12_0)) != empty_set
    | set_difference(esk11_0,esk12_0) != esk11_0 ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_101,plain,
    ( X1 = set_difference(X2,X3)
    | in(esk5_3(X2,X3,X1),X1)
    | in(esk5_3(X2,X3,X1),X2) ),
    i_0_26 ).

cnf(c_0_102,plain,
    set_difference(X1,X1) = empty_set,
    inference(rw,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_103,plain,
    ( X1 = set_difference(X2,X3)
    | in(esk5_3(X2,X3,X1),X3)
    | ~ in(esk5_3(X2,X3,X1),X1)
    | ~ in(esk5_3(X2,X3,X1),X2) ),
    i_0_27 ).

cnf(c_0_104,plain,
    in(esk5_3(esk11_0,esk12_0,esk11_0),esk11_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101])]),c_0_102])]) ).

cnf(c_0_105,lemma,
    ( ~ in(X1,X2)
    | ~ in(X1,X3)
    | ~ disjoint(X3,X2) ),
    i_0_69 ).

cnf(c_0_106,negated_conjecture,
    ( set_difference(esk11_0,esk12_0) = esk11_0
    | disjoint(esk11_0,esk12_0) ),
    i_0_84 ).

cnf(c_0_107,plain,
    ( set_difference(esk11_0,esk12_0) = esk11_0
    | in(esk5_3(esk11_0,esk12_0,esk11_0),esk12_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_104])]) ).

cnf(c_0_108,lemma,
    ( set_difference(X1,X2) = empty_set
    | ~ subset(X1,X2) ),
    i_0_46 ).

cnf(c_0_109,negated_conjecture,
    ( set_difference(esk11_0,esk12_0) = esk11_0
    | ~ in(X1,esk11_0)
    | ~ in(X1,esk12_0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_110,negated_conjecture,
    in(esk5_3(esk11_0,esk12_0,esk11_0),esk12_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_107]),c_0_102])]) ).

cnf(c_0_111,lemma,
    ( set_difference(esk11_0,esk12_0) != esk11_0
    | ~ subset(esk11_0,set_difference(esk11_0,esk12_0)) ),
    inference(spm,[status(thm)],[c_0_100,c_0_108]) ).

cnf(c_0_112,negated_conjecture,
    set_difference(esk11_0,esk12_0) = esk11_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_104])]) ).

cnf(c_0_113,plain,
    subset(X1,X1),
    i_0_50 ).

cnf(c_0_114,lemma,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112]),c_0_112]),c_0_113])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU141+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n005.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 : Sun Jun 19 01:55:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.32/2.35  # ENIGMATIC: Solved by autoschedule:
% 7.32/2.35  # No SInE strategy applied
% 7.32/2.35  # Trying AutoSched0 for 150 seconds
% 7.32/2.35  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 7.32/2.35  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.32/2.35  #
% 7.32/2.35  # Preprocessing time       : 0.013 s
% 7.32/2.35  # Presaturation interreduction done
% 7.32/2.35  
% 7.32/2.35  # Proof found!
% 7.32/2.35  # SZS status Theorem
% 7.32/2.35  # SZS output start CNFRefutation
% See solution above
% 7.32/2.35  # Training examples: 0 positive, 0 negative
% 7.32/2.35  
% 7.32/2.35  # -------------------------------------------------
% 7.32/2.35  # User time                : 0.032 s
% 7.32/2.35  # System time              : 0.003 s
% 7.32/2.35  # Total time               : 0.035 s
% 7.32/2.35  # Maximum resident set size: 7120 pages
% 7.32/2.35  
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