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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU268+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 08:40:15 EDT 2022

% Result   : Theorem 8.14s 2.52s
% Output   : CNFRefutation 8.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   25 (  11 unt;   3 nHn;  15 RR)
%            Number of literals    :   62 (  11 equ;  36 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-2 aty)
%            Number of variables   :   41 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_23,plain,
    ( relation_field(X1) = X2
    | X1 != inclusion_relation(X2)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-elf93u8x/lgb.p',i_0_23) ).

cnf(i_0_30,plain,
    relation(inclusion_relation(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-elf93u8x/lgb.p',i_0_30) ).

cnf(i_0_14,plain,
    ( is_reflexive_in(X1,X2)
    | ~ relation(X1)
    | ~ in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2)),singleton(esk1_2(X1,X2))),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-elf93u8x/lgb.p',i_0_14) ).

cnf(i_0_12,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-elf93u8x/lgb.p',i_0_12) ).

cnf(i_0_21,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
    | X3 != inclusion_relation(X4)
    | ~ relation(X3)
    | ~ in(X2,X4)
    | ~ in(X1,X4)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-elf93u8x/lgb.p',i_0_21) ).

cnf(i_0_15,plain,
    ( is_reflexive_in(X1,X2)
    | in(esk1_2(X1,X2),X2)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-elf93u8x/lgb.p',i_0_15) ).

cnf(i_0_26,plain,
    ( reflexive(X1)
    | ~ relation(X1)
    | ~ is_reflexive_in(X1,relation_field(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-elf93u8x/lgb.p',i_0_26) ).

cnf(i_0_80,plain,
    subset(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-elf93u8x/lgb.p',i_0_80) ).

cnf(i_0_84,negated_conjecture,
    ~ reflexive(inclusion_relation(esk14_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-elf93u8x/lgb.p',i_0_84) ).

cnf(c_0_94,plain,
    ( relation_field(X1) = X2
    | X1 != inclusion_relation(X2)
    | ~ relation(X1) ),
    i_0_23 ).

cnf(c_0_95,plain,
    relation(inclusion_relation(X1)),
    i_0_30 ).

cnf(c_0_96,plain,
    ( is_reflexive_in(X1,X2)
    | ~ relation(X1)
    | ~ in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2)),singleton(esk1_2(X1,X2))),X1) ),
    i_0_14 ).

cnf(c_0_97,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    i_0_12 ).

cnf(c_0_98,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
    | X3 != inclusion_relation(X4)
    | ~ relation(X3)
    | ~ in(X2,X4)
    | ~ in(X1,X4)
    | ~ subset(X1,X2) ),
    i_0_21 ).

cnf(c_0_99,plain,
    ( is_reflexive_in(X1,X2)
    | in(esk1_2(X1,X2),X2)
    | ~ relation(X1) ),
    i_0_15 ).

cnf(c_0_100,plain,
    ( reflexive(X1)
    | ~ relation(X1)
    | ~ is_reflexive_in(X1,relation_field(X1)) ),
    i_0_26 ).

cnf(c_0_101,plain,
    relation_field(inclusion_relation(X1)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_94]),c_0_95])]) ).

cnf(c_0_102,plain,
    ( is_reflexive_in(X1,X2)
    | ~ in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2))),X1)
    | ~ relation(X1) ),
    inference(rw,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_103,plain,
    ( in(unordered_pair(singleton(X1),unordered_pair(X1,esk1_2(X2,X3))),X4)
    | is_reflexive_in(X2,X3)
    | X4 != inclusion_relation(X3)
    | ~ subset(X1,esk1_2(X2,X3))
    | ~ in(X1,X3)
    | ~ relation(X4)
    | ~ relation(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_97]) ).

cnf(c_0_104,plain,
    subset(X1,X1),
    i_0_80 ).

cnf(c_0_105,plain,
    ( reflexive(inclusion_relation(X1))
    | ~ is_reflexive_in(inclusion_relation(X1),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_95])]) ).

cnf(c_0_106,plain,
    ( is_reflexive_in(X1,X2)
    | X1 != inclusion_relation(X2)
    | ~ relation(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104])]),c_0_99]) ).

cnf(c_0_107,negated_conjecture,
    ~ reflexive(inclusion_relation(esk14_0)),
    i_0_84 ).

cnf(c_0_108,plain,
    reflexive(inclusion_relation(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_95])]) ).

cnf(c_0_109,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU268+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n027.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 04:50:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 8.14/2.52  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.14/2.52  # No SInE strategy applied
% 8.14/2.52  # Trying AutoSched0 for 150 seconds
% 8.14/2.52  # AutoSched0-Mode selected heuristic G_E___041_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 8.14/2.52  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.14/2.52  #
% 8.14/2.52  # Preprocessing time       : 0.013 s
% 8.14/2.52  
% 8.14/2.52  # Proof found!
% 8.14/2.52  # SZS status Theorem
% 8.14/2.52  # SZS output start CNFRefutation
% See solution above
% 8.14/2.52  # Training examples: 0 positive, 0 negative
% 8.14/2.52  
% 8.14/2.52  # -------------------------------------------------
% 8.14/2.52  # User time                : 0.018 s
% 8.14/2.52  # System time              : 0.003 s
% 8.14/2.52  # Total time               : 0.021 s
% 8.14/2.52  # Maximum resident set size: 7124 pages
% 8.14/2.52  
%------------------------------------------------------------------------------