TSTP Solution File: SEU239+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU239+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n014.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 08:39:58 EDT 2022

% Result   : Theorem 8.00s 2.50s
% Output   : CNFRefutation 8.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   29 (   8 unt;   8 nHn;  27 RR)
%            Number of literals    :   67 (   0 equ;  33 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_212,plain,
    ( reflexive(X1)
    | ~ relation(X1)
    | ~ is_reflexive_in(X1,relation_field(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-snoymuex/lgb.p',i_0_212) ).

cnf(i_0_78,plain,
    ( is_reflexive_in(X1,X2)
    | in(esk21_2(X1,X2),X2)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-snoymuex/lgb.p',i_0_78) ).

cnf(i_0_310,negated_conjecture,
    ( in(esk68_0,relation_field(esk67_0))
    | ~ reflexive(esk67_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-snoymuex/lgb.p',i_0_310) ).

cnf(i_0_311,negated_conjecture,
    relation(esk67_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-snoymuex/lgb.p',i_0_311) ).

cnf(i_0_308,negated_conjecture,
    ( reflexive(esk67_0)
    | in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),esk67_0)
    | ~ in(X1,relation_field(esk67_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-snoymuex/lgb.p',i_0_308) ).

cnf(i_0_77,plain,
    ( is_reflexive_in(X1,X2)
    | ~ relation(X1)
    | ~ in(unordered_pair(unordered_pair(esk21_2(X1,X2),esk21_2(X1,X2)),unordered_pair(esk21_2(X1,X2),esk21_2(X1,X2))),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-snoymuex/lgb.p',i_0_77) ).

cnf(i_0_79,plain,
    ( in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)
    | ~ relation(X2)
    | ~ in(X1,X3)
    | ~ is_reflexive_in(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-snoymuex/lgb.p',i_0_79) ).

cnf(i_0_213,plain,
    ( is_reflexive_in(X1,relation_field(X1))
    | ~ relation(X1)
    | ~ reflexive(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-snoymuex/lgb.p',i_0_213) ).

cnf(i_0_309,negated_conjecture,
    ( ~ reflexive(esk67_0)
    | ~ in(unordered_pair(unordered_pair(esk68_0,esk68_0),unordered_pair(esk68_0,esk68_0)),esk67_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-snoymuex/lgb.p',i_0_309) ).

cnf(c_0_321,plain,
    ( reflexive(X1)
    | ~ relation(X1)
    | ~ is_reflexive_in(X1,relation_field(X1)) ),
    i_0_212 ).

cnf(c_0_322,plain,
    ( is_reflexive_in(X1,X2)
    | in(esk21_2(X1,X2),X2)
    | ~ relation(X1) ),
    i_0_78 ).

cnf(c_0_323,negated_conjecture,
    ( in(esk68_0,relation_field(esk67_0))
    | ~ reflexive(esk67_0) ),
    i_0_310 ).

cnf(c_0_324,plain,
    ( in(esk21_2(X1,relation_field(X1)),relation_field(X1))
    | reflexive(X1)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_321,c_0_322]) ).

cnf(c_0_325,negated_conjecture,
    relation(esk67_0),
    i_0_311 ).

cnf(c_0_326,negated_conjecture,
    ( reflexive(esk67_0)
    | in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),esk67_0)
    | ~ in(X1,relation_field(esk67_0)) ),
    i_0_308 ).

cnf(c_0_327,negated_conjecture,
    ( in(esk21_2(esk67_0,relation_field(esk67_0)),relation_field(esk67_0))
    | in(esk68_0,relation_field(esk67_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_325])]) ).

cnf(c_0_328,plain,
    ( is_reflexive_in(X1,X2)
    | ~ relation(X1)
    | ~ in(unordered_pair(unordered_pair(esk21_2(X1,X2),esk21_2(X1,X2)),unordered_pair(esk21_2(X1,X2),esk21_2(X1,X2))),X1) ),
    i_0_77 ).

cnf(c_0_329,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk21_2(esk67_0,relation_field(esk67_0)),esk21_2(esk67_0,relation_field(esk67_0))),unordered_pair(esk21_2(esk67_0,relation_field(esk67_0)),esk21_2(esk67_0,relation_field(esk67_0)))),esk67_0)
    | in(esk68_0,relation_field(esk67_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_323]) ).

cnf(c_0_330,plain,
    ( in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)
    | ~ relation(X2)
    | ~ in(X1,X3)
    | ~ is_reflexive_in(X2,X3) ),
    i_0_79 ).

cnf(c_0_331,plain,
    ( is_reflexive_in(X1,relation_field(X1))
    | ~ relation(X1)
    | ~ reflexive(X1) ),
    i_0_213 ).

cnf(c_0_332,plain,
    ( is_reflexive_in(esk67_0,relation_field(esk67_0))
    | in(esk68_0,relation_field(esk67_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_325])]) ).

cnf(c_0_333,plain,
    ( in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)
    | ~ relation(X2)
    | ~ in(X1,relation_field(X2))
    | ~ reflexive(X2) ),
    inference(spm,[status(thm)],[c_0_330,c_0_331]) ).

cnf(c_0_334,plain,
    in(esk68_0,relation_field(esk67_0)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_332]),c_0_325])]),c_0_323]) ).

cnf(c_0_335,negated_conjecture,
    ( ~ reflexive(esk67_0)
    | ~ in(unordered_pair(unordered_pair(esk68_0,esk68_0),unordered_pair(esk68_0,esk68_0)),esk67_0) ),
    i_0_309 ).

cnf(c_0_336,plain,
    ~ reflexive(esk67_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_325])]),c_0_335]) ).

cnf(c_0_337,plain,
    in(esk21_2(esk67_0,relation_field(esk67_0)),relation_field(esk67_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_324]),c_0_325])]) ).

cnf(c_0_338,negated_conjecture,
    in(unordered_pair(unordered_pair(esk21_2(esk67_0,relation_field(esk67_0)),esk21_2(esk67_0,relation_field(esk67_0))),unordered_pair(esk21_2(esk67_0,relation_field(esk67_0)),esk21_2(esk67_0,relation_field(esk67_0)))),esk67_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_337]),c_0_336]) ).

cnf(c_0_339,plain,
    is_reflexive_in(esk67_0,relation_field(esk67_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_338]),c_0_325])]) ).

cnf(c_0_340,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_339]),c_0_325])]),c_0_336]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU239+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n014.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 09:35:35 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.00/2.50  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.00/2.50  # No SInE strategy applied
% 8.00/2.50  # Trying AutoSched0 for 150 seconds
% 8.00/2.50  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S01AI
% 8.00/2.50  # and selection function SelectMinOptimalNoXTypePred.
% 8.00/2.50  #
% 8.00/2.50  # Preprocessing time       : 0.023 s
% 8.00/2.50  # Presaturation interreduction done
% 8.00/2.50  
% 8.00/2.50  # Proof found!
% 8.00/2.50  # SZS status Theorem
% 8.00/2.50  # SZS output start CNFRefutation
% See solution above
% 8.00/2.50  # Training examples: 0 positive, 0 negative
% 8.00/2.50  
% 8.00/2.50  # -------------------------------------------------
% 8.00/2.50  # User time                : 0.024 s
% 8.00/2.50  # System time              : 0.008 s
% 8.00/2.50  # Total time               : 0.031 s
% 8.00/2.50  # Maximum resident set size: 7124 pages
% 8.00/2.50  
%------------------------------------------------------------------------------