TSTP Solution File: SEU241+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU241+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 08:39:59 EDT 2022

% Result   : Theorem 8.72s 2.51s
% Output   : CNFRefutation 8.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   69 (  11 unt;  33 nHn;  61 RR)
%            Number of literals    :  182 (  38 equ;  81 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   68 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_341,negated_conjecture,
    ( X1 = X2
    | antisymmetric(esk76_0)
    | ~ in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk76_0)
    | ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk76_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-clc8gyad/lgb.p',i_0_341) ).

cnf(i_0_14,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-clc8gyad/lgb.p',i_0_14) ).

cnf(i_0_163,plain,
    ( is_antisymmetric_in(X1,X2)
    | in(unordered_pair(unordered_pair(esk48_2(X1,X2),esk47_2(X1,X2)),unordered_pair(esk48_2(X1,X2),esk48_2(X1,X2))),X1)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-clc8gyad/lgb.p',i_0_163) ).

cnf(i_0_343,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk78_0,esk77_0),unordered_pair(esk78_0,esk78_0)),esk76_0)
    | ~ antisymmetric(esk76_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-clc8gyad/lgb.p',i_0_343) ).

cnf(i_0_47,plain,
    ( antisymmetric(X1)
    | ~ relation(X1)
    | ~ is_antisymmetric_in(X1,relation_field(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-clc8gyad/lgb.p',i_0_47) ).

cnf(i_0_164,plain,
    ( is_antisymmetric_in(X1,X2)
    | in(unordered_pair(unordered_pair(esk47_2(X1,X2),esk48_2(X1,X2)),unordered_pair(esk47_2(X1,X2),esk47_2(X1,X2))),X1)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-clc8gyad/lgb.p',i_0_164) ).

cnf(i_0_344,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk77_0,esk78_0),unordered_pair(esk77_0,esk77_0)),esk76_0)
    | ~ antisymmetric(esk76_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-clc8gyad/lgb.p',i_0_344) ).

cnf(i_0_345,negated_conjecture,
    relation(esk76_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-clc8gyad/lgb.p',i_0_345) ).

cnf(i_0_167,plain,
    ( X1 = X2
    | ~ relation(X3)
    | ~ in(X2,X4)
    | ~ in(X1,X4)
    | ~ is_antisymmetric_in(X3,X4)
    | ~ in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3)
    | ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-clc8gyad/lgb.p',i_0_167) ).

cnf(i_0_469,lemma,
    ( in(X1,relation_field(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-clc8gyad/lgb.p',i_0_469) ).

cnf(i_0_470,lemma,
    ( in(X1,relation_field(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-clc8gyad/lgb.p',i_0_470) ).

cnf(i_0_48,plain,
    ( is_antisymmetric_in(X1,relation_field(X1))
    | ~ relation(X1)
    | ~ antisymmetric(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-clc8gyad/lgb.p',i_0_48) ).

cnf(i_0_162,plain,
    ( is_antisymmetric_in(X1,X2)
    | esk48_2(X1,X2) != esk47_2(X1,X2)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-clc8gyad/lgb.p',i_0_162) ).

cnf(i_0_342,negated_conjecture,
    ( esk78_0 != esk77_0
    | ~ antisymmetric(esk76_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-clc8gyad/lgb.p',i_0_342) ).

cnf(c_0_485,negated_conjecture,
    ( X1 = X2
    | antisymmetric(esk76_0)
    | ~ in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk76_0)
    | ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk76_0) ),
    i_0_341 ).

cnf(c_0_486,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    i_0_14 ).

cnf(c_0_487,plain,
    ( is_antisymmetric_in(X1,X2)
    | in(unordered_pair(unordered_pair(esk48_2(X1,X2),esk47_2(X1,X2)),unordered_pair(esk48_2(X1,X2),esk48_2(X1,X2))),X1)
    | ~ relation(X1) ),
    i_0_163 ).

cnf(c_0_488,plain,
    ( X1 = X2
    | antisymmetric(esk76_0)
    | ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X2,X2)),esk76_0)
    | ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk76_0) ),
    inference(spm,[status(thm)],[c_0_485,c_0_486]) ).

cnf(c_0_489,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk78_0,esk77_0),unordered_pair(esk78_0,esk78_0)),esk76_0)
    | ~ antisymmetric(esk76_0) ),
    i_0_343 ).

cnf(c_0_490,plain,
    ( antisymmetric(X1)
    | ~ relation(X1)
    | ~ is_antisymmetric_in(X1,relation_field(X1)) ),
    i_0_47 ).

cnf(c_0_491,plain,
    ( is_antisymmetric_in(X1,X2)
    | in(unordered_pair(unordered_pair(esk48_2(X1,X2),esk48_2(X1,X2)),unordered_pair(esk48_2(X1,X2),esk47_2(X1,X2))),X1)
    | ~ relation(X1) ),
    inference(rw,[status(thm)],[c_0_487,c_0_486]) ).

cnf(c_0_492,plain,
    ( is_antisymmetric_in(X1,X2)
    | in(unordered_pair(unordered_pair(esk47_2(X1,X2),esk48_2(X1,X2)),unordered_pair(esk47_2(X1,X2),esk47_2(X1,X2))),X1)
    | ~ relation(X1) ),
    i_0_164 ).

cnf(c_0_493,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk77_0,esk78_0),unordered_pair(esk77_0,esk77_0)),esk76_0)
    | ~ antisymmetric(esk76_0) ),
    i_0_344 ).

cnf(c_0_494,plain,
    ( X1 = X2
    | antisymmetric(esk76_0)
    | ~ in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X1,X2)),esk76_0)
    | ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk76_0) ),
    inference(spm,[status(thm)],[c_0_488,c_0_486]) ).

cnf(c_0_495,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk77_0,esk78_0),unordered_pair(esk78_0,esk78_0)),esk76_0)
    | ~ antisymmetric(esk76_0) ),
    inference(rw,[status(thm)],[c_0_489,c_0_486]) ).

cnf(c_0_496,plain,
    ( antisymmetric(X1)
    | in(unordered_pair(unordered_pair(esk48_2(X1,relation_field(X1)),esk48_2(X1,relation_field(X1))),unordered_pair(esk48_2(X1,relation_field(X1)),esk47_2(X1,relation_field(X1)))),X1)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_490,c_0_491]) ).

cnf(c_0_497,negated_conjecture,
    relation(esk76_0),
    i_0_345 ).

cnf(c_0_498,plain,
    ( is_antisymmetric_in(X1,X2)
    | in(unordered_pair(unordered_pair(esk48_2(X1,X2),esk47_2(X1,X2)),unordered_pair(esk47_2(X1,X2),esk47_2(X1,X2))),X1)
    | ~ relation(X1) ),
    inference(rw,[status(thm)],[c_0_492,c_0_486]) ).

cnf(c_0_499,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk77_0,esk77_0),unordered_pair(esk77_0,esk78_0)),esk76_0)
    | ~ antisymmetric(esk76_0) ),
    inference(rw,[status(thm)],[c_0_493,c_0_486]) ).

cnf(c_0_500,plain,
    ( X1 = X2
    | antisymmetric(esk76_0)
    | ~ in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,X1)),esk76_0)
    | ~ in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X1,X1)),esk76_0) ),
    inference(spm,[status(thm)],[c_0_494,c_0_486]) ).

cnf(c_0_501,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk48_2(esk76_0,relation_field(esk76_0)),esk48_2(esk76_0,relation_field(esk76_0))),unordered_pair(esk48_2(esk76_0,relation_field(esk76_0)),esk47_2(esk76_0,relation_field(esk76_0)))),esk76_0)
    | in(unordered_pair(unordered_pair(esk77_0,esk78_0),unordered_pair(esk78_0,esk78_0)),esk76_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_496]),c_0_497])]) ).

cnf(c_0_502,plain,
    ( antisymmetric(X1)
    | in(unordered_pair(unordered_pair(esk48_2(X1,relation_field(X1)),esk47_2(X1,relation_field(X1))),unordered_pair(esk47_2(X1,relation_field(X1)),esk47_2(X1,relation_field(X1)))),X1)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_490,c_0_498]) ).

cnf(c_0_503,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk48_2(esk76_0,relation_field(esk76_0)),esk48_2(esk76_0,relation_field(esk76_0))),unordered_pair(esk48_2(esk76_0,relation_field(esk76_0)),esk47_2(esk76_0,relation_field(esk76_0)))),esk76_0)
    | in(unordered_pair(unordered_pair(esk77_0,esk77_0),unordered_pair(esk77_0,esk78_0)),esk76_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_496]),c_0_497])]) ).

cnf(c_0_504,plain,
    ( esk47_2(esk76_0,relation_field(esk76_0)) = esk48_2(esk76_0,relation_field(esk76_0))
    | in(unordered_pair(unordered_pair(esk77_0,esk78_0),unordered_pair(esk78_0,esk78_0)),esk76_0)
    | ~ in(unordered_pair(unordered_pair(esk48_2(esk76_0,relation_field(esk76_0)),esk47_2(esk76_0,relation_field(esk76_0))),unordered_pair(esk47_2(esk76_0,relation_field(esk76_0)),esk47_2(esk76_0,relation_field(esk76_0)))),esk76_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_501]),c_0_495]) ).

cnf(c_0_505,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk48_2(esk76_0,relation_field(esk76_0)),esk47_2(esk76_0,relation_field(esk76_0))),unordered_pair(esk47_2(esk76_0,relation_field(esk76_0)),esk47_2(esk76_0,relation_field(esk76_0)))),esk76_0)
    | in(unordered_pair(unordered_pair(esk77_0,esk78_0),unordered_pair(esk78_0,esk78_0)),esk76_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_502]),c_0_497])]) ).

cnf(c_0_506,plain,
    ( X1 = X2
    | ~ relation(X3)
    | ~ in(X2,X4)
    | ~ in(X1,X4)
    | ~ is_antisymmetric_in(X3,X4)
    | ~ in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3)
    | ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3) ),
    i_0_167 ).

cnf(c_0_507,plain,
    ( esk47_2(esk76_0,relation_field(esk76_0)) = esk48_2(esk76_0,relation_field(esk76_0))
    | in(unordered_pair(unordered_pair(esk77_0,esk77_0),unordered_pair(esk77_0,esk78_0)),esk76_0)
    | ~ in(unordered_pair(unordered_pair(esk48_2(esk76_0,relation_field(esk76_0)),esk47_2(esk76_0,relation_field(esk76_0))),unordered_pair(esk47_2(esk76_0,relation_field(esk76_0)),esk47_2(esk76_0,relation_field(esk76_0)))),esk76_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_503]),c_0_499]) ).

cnf(c_0_508,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk48_2(esk76_0,relation_field(esk76_0)),esk47_2(esk76_0,relation_field(esk76_0))),unordered_pair(esk47_2(esk76_0,relation_field(esk76_0)),esk47_2(esk76_0,relation_field(esk76_0)))),esk76_0)
    | in(unordered_pair(unordered_pair(esk77_0,esk77_0),unordered_pair(esk77_0,esk78_0)),esk76_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_502]),c_0_497])]) ).

cnf(c_0_509,lemma,
    ( in(X1,relation_field(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
    i_0_469 ).

cnf(c_0_510,lemma,
    ( in(X1,relation_field(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2) ),
    i_0_470 ).

cnf(c_0_511,plain,
    ( esk47_2(esk76_0,relation_field(esk76_0)) = esk48_2(esk76_0,relation_field(esk76_0))
    | in(unordered_pair(unordered_pair(esk77_0,esk78_0),unordered_pair(esk78_0,esk78_0)),esk76_0) ),
    inference(spm,[status(thm)],[c_0_504,c_0_505]) ).

cnf(c_0_512,plain,
    ( X1 = X2
    | ~ is_antisymmetric_in(X3,X4)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X2,X2)),X3)
    | ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)
    | ~ in(X2,X4)
    | ~ in(X1,X4) ),
    inference(spm,[status(thm)],[c_0_506,c_0_486]) ).

cnf(c_0_513,plain,
    ( esk47_2(esk76_0,relation_field(esk76_0)) = esk48_2(esk76_0,relation_field(esk76_0))
    | in(unordered_pair(unordered_pair(esk77_0,esk77_0),unordered_pair(esk77_0,esk78_0)),esk76_0) ),
    inference(spm,[status(thm)],[c_0_507,c_0_508]) ).

cnf(c_0_514,plain,
    ( in(X1,relation_field(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X3,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_509,c_0_486]) ).

cnf(c_0_515,plain,
    ( in(X1,relation_field(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X1,X1)),X2) ),
    inference(spm,[status(thm)],[c_0_510,c_0_486]) ).

cnf(c_0_516,plain,
    ( esk47_2(esk76_0,relation_field(esk76_0)) = esk48_2(esk76_0,relation_field(esk76_0))
    | esk78_0 = esk77_0
    | antisymmetric(esk76_0)
    | ~ in(unordered_pair(unordered_pair(esk77_0,esk77_0),unordered_pair(esk77_0,esk78_0)),esk76_0) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_511]),c_0_486]) ).

cnf(c_0_517,plain,
    ( esk47_2(esk76_0,relation_field(esk76_0)) = esk48_2(esk76_0,relation_field(esk76_0))
    | esk78_0 = esk77_0
    | ~ is_antisymmetric_in(esk76_0,X1)
    | ~ in(esk78_0,X1)
    | ~ in(esk77_0,X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_511]),c_0_497]),c_0_486])]),c_0_513]) ).

cnf(c_0_518,plain,
    ( is_antisymmetric_in(X1,relation_field(X1))
    | ~ relation(X1)
    | ~ antisymmetric(X1) ),
    i_0_48 ).

cnf(c_0_519,plain,
    ( esk47_2(esk76_0,relation_field(esk76_0)) = esk48_2(esk76_0,relation_field(esk76_0))
    | in(esk77_0,relation_field(esk76_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_511]),c_0_497])]) ).

cnf(c_0_520,plain,
    ( esk47_2(esk76_0,relation_field(esk76_0)) = esk48_2(esk76_0,relation_field(esk76_0))
    | in(esk78_0,relation_field(esk76_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_511]),c_0_497])]) ).

cnf(c_0_521,plain,
    ( esk47_2(esk76_0,relation_field(esk76_0)) = esk48_2(esk76_0,relation_field(esk76_0))
    | esk78_0 = esk77_0
    | antisymmetric(esk76_0) ),
    inference(spm,[status(thm)],[c_0_516,c_0_513]) ).

cnf(c_0_522,plain,
    ( is_antisymmetric_in(X1,X2)
    | esk48_2(X1,X2) != esk47_2(X1,X2)
    | ~ relation(X1) ),
    i_0_162 ).

cnf(c_0_523,plain,
    ( esk47_2(esk76_0,relation_field(esk76_0)) = esk48_2(esk76_0,relation_field(esk76_0))
    | esk78_0 = esk77_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_518]),c_0_497])]),c_0_519]),c_0_520]),c_0_521]) ).

cnf(c_0_524,plain,
    ( esk78_0 = esk77_0
    | is_antisymmetric_in(esk76_0,relation_field(esk76_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_522,c_0_523]),c_0_497])]) ).

cnf(c_0_525,plain,
    ( esk78_0 = esk77_0
    | antisymmetric(esk76_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_524]),c_0_497])]) ).

cnf(c_0_526,negated_conjecture,
    ( esk78_0 = esk77_0
    | in(unordered_pair(unordered_pair(esk77_0,esk78_0),unordered_pair(esk78_0,esk78_0)),esk76_0) ),
    inference(spm,[status(thm)],[c_0_495,c_0_525]) ).

cnf(c_0_527,negated_conjecture,
    ( esk78_0 = esk77_0
    | in(unordered_pair(unordered_pair(esk77_0,esk77_0),unordered_pair(esk77_0,esk78_0)),esk76_0) ),
    inference(spm,[status(thm)],[c_0_499,c_0_525]) ).

cnf(c_0_528,plain,
    ( esk78_0 = esk77_0
    | ~ is_antisymmetric_in(esk76_0,X1)
    | ~ in(esk78_0,X1)
    | ~ in(esk77_0,X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_526]),c_0_497]),c_0_486])]),c_0_527]) ).

cnf(c_0_529,plain,
    ( esk78_0 = esk77_0
    | in(esk77_0,relation_field(esk76_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_526]),c_0_497])]) ).

cnf(c_0_530,plain,
    ( esk78_0 = esk77_0
    | in(esk78_0,relation_field(esk76_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_526]),c_0_497])]) ).

cnf(c_0_531,negated_conjecture,
    ( esk78_0 != esk77_0
    | ~ antisymmetric(esk76_0) ),
    i_0_342 ).

cnf(c_0_532,plain,
    esk78_0 = esk77_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_524]),c_0_529]),c_0_530]) ).

cnf(c_0_533,negated_conjecture,
    ~ antisymmetric(esk76_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_531,c_0_532])]) ).

cnf(c_0_534,plain,
    in(unordered_pair(unordered_pair(esk48_2(esk76_0,relation_field(esk76_0)),esk48_2(esk76_0,relation_field(esk76_0))),unordered_pair(esk48_2(esk76_0,relation_field(esk76_0)),esk47_2(esk76_0,relation_field(esk76_0)))),esk76_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_496]),c_0_497])]) ).

cnf(c_0_535,plain,
    ( esk47_2(esk76_0,relation_field(esk76_0)) = esk48_2(esk76_0,relation_field(esk76_0))
    | ~ in(unordered_pair(unordered_pair(esk48_2(esk76_0,relation_field(esk76_0)),esk47_2(esk76_0,relation_field(esk76_0))),unordered_pair(esk47_2(esk76_0,relation_field(esk76_0)),esk47_2(esk76_0,relation_field(esk76_0)))),esk76_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_534]),c_0_533]) ).

cnf(c_0_536,plain,
    in(unordered_pair(unordered_pair(esk48_2(esk76_0,relation_field(esk76_0)),esk47_2(esk76_0,relation_field(esk76_0))),unordered_pair(esk47_2(esk76_0,relation_field(esk76_0)),esk47_2(esk76_0,relation_field(esk76_0)))),esk76_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_502]),c_0_497])]) ).

cnf(c_0_537,plain,
    esk47_2(esk76_0,relation_field(esk76_0)) = esk48_2(esk76_0,relation_field(esk76_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_535,c_0_536])]) ).

cnf(c_0_538,plain,
    is_antisymmetric_in(esk76_0,relation_field(esk76_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_522,c_0_537]),c_0_497])]) ).

cnf(c_0_539,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_538]),c_0_497])]),c_0_533]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEU241+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n007.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 : Sun Jun 19 11:24:00 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.72/2.51  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.72/2.51  # No SInE strategy applied
% 8.72/2.51  # Trying AutoSched0 for 150 seconds
% 8.72/2.51  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 8.72/2.51  # and selection function SelectNewComplexAHP.
% 8.72/2.51  #
% 8.72/2.51  # Preprocessing time       : 0.024 s
% 8.72/2.51  # Presaturation interreduction done
% 8.72/2.51  
% 8.72/2.51  # Proof found!
% 8.72/2.51  # SZS status Theorem
% 8.72/2.51  # SZS output start CNFRefutation
% See solution above
% 8.72/2.51  # Training examples: 0 positive, 0 negative
% 8.72/2.51  
% 8.72/2.51  # -------------------------------------------------
% 8.72/2.51  # User time                : 0.037 s
% 8.72/2.51  # System time              : 0.008 s
% 8.72/2.51  # Total time               : 0.045 s
% 8.72/2.51  # Maximum resident set size: 7128 pages
% 8.72/2.51  
%------------------------------------------------------------------------------