TSTP Solution File: SEU239+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU239+1 : 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 08:39:58 EDT 2022

% Result   : Theorem 4.57s 2.27s
% Output   : CNFRefutation 4.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   34 (   8 unt;   8 nHn;  29 RR)
%            Number of literals    :   78 (   2 equ;  39 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
    ( is_reflexive_in(X1,X2)
    | in(esk1_2(X1,X2),X2)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jzlnd2y/lgb.p',i_0_9) ).

cnf(i_0_33,negated_conjecture,
    relation(esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jzlnd2y/lgb.p',i_0_33) ).

cnf(i_0_13,plain,
    ( reflexive(X1)
    | ~ relation(X1)
    | ~ is_reflexive_in(X1,relation_field(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jzlnd2y/lgb.p',i_0_13) ).

cnf(i_0_8,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-5jzlnd2y/lgb.p',i_0_8) ).

cnf(i_0_6,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jzlnd2y/lgb.p',i_0_6) ).

cnf(i_0_32,negated_conjecture,
    ( in(esk4_0,relation_field(esk3_0))
    | ~ reflexive(esk3_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jzlnd2y/lgb.p',i_0_32) ).

cnf(i_0_31,negated_conjecture,
    ( ~ reflexive(esk3_0)
    | ~ in(unordered_pair(unordered_pair(esk4_0,esk4_0),singleton(esk4_0)),esk3_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jzlnd2y/lgb.p',i_0_31) ).

cnf(i_0_30,negated_conjecture,
    ( reflexive(esk3_0)
    | in(unordered_pair(unordered_pair(X1,X1),singleton(X1)),esk3_0)
    | ~ in(X1,relation_field(esk3_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jzlnd2y/lgb.p',i_0_30) ).

cnf(i_0_10,plain,
    ( in(unordered_pair(unordered_pair(X1,X1),singleton(X1)),X2)
    | ~ relation(X2)
    | ~ in(X1,X3)
    | ~ is_reflexive_in(X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jzlnd2y/lgb.p',i_0_10) ).

cnf(i_0_14,plain,
    ( is_reflexive_in(X1,relation_field(X1))
    | ~ relation(X1)
    | ~ reflexive(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jzlnd2y/lgb.p',i_0_14) ).

cnf(c_0_44,plain,
    ( is_reflexive_in(X1,X2)
    | in(esk1_2(X1,X2),X2)
    | ~ relation(X1) ),
    i_0_9 ).

cnf(c_0_45,negated_conjecture,
    relation(esk3_0),
    i_0_33 ).

cnf(c_0_46,plain,
    ( reflexive(X1)
    | ~ relation(X1)
    | ~ is_reflexive_in(X1,relation_field(X1)) ),
    i_0_13 ).

cnf(c_0_47,negated_conjecture,
    ( is_reflexive_in(esk3_0,X1)
    | in(esk1_2(esk3_0,X1),X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_48,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_8 ).

cnf(c_0_49,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    i_0_6 ).

cnf(c_0_50,negated_conjecture,
    ( in(esk4_0,relation_field(esk3_0))
    | ~ reflexive(esk3_0) ),
    i_0_32 ).

cnf(c_0_51,plain,
    ( in(esk1_2(esk3_0,relation_field(esk3_0)),relation_field(esk3_0))
    | reflexive(esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_45])]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ reflexive(esk3_0)
    | ~ in(unordered_pair(unordered_pair(esk4_0,esk4_0),singleton(esk4_0)),esk3_0) ),
    i_0_31 ).

cnf(c_0_53,plain,
    ( is_reflexive_in(X1,X2)
    | ~ relation(X1)
    | ~ in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2))),X1) ),
    inference(rw,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,negated_conjecture,
    ( reflexive(esk3_0)
    | in(unordered_pair(unordered_pair(X1,X1),singleton(X1)),esk3_0)
    | ~ in(X1,relation_field(esk3_0)) ),
    i_0_30 ).

cnf(c_0_55,negated_conjecture,
    ( in(esk1_2(esk3_0,relation_field(esk3_0)),relation_field(esk3_0))
    | in(esk4_0,relation_field(esk3_0)) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_56,negated_conjecture,
    ( in(esk1_2(esk3_0,relation_field(esk3_0)),relation_field(esk3_0))
    | ~ in(unordered_pair(unordered_pair(esk4_0,esk4_0),singleton(esk4_0)),esk3_0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_51]) ).

cnf(c_0_57,plain,
    ( reflexive(X1)
    | ~ relation(X1)
    | ~ in(unordered_pair(singleton(esk1_2(X1,relation_field(X1))),unordered_pair(esk1_2(X1,relation_field(X1)),esk1_2(X1,relation_field(X1)))),X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    ( in(unordered_pair(singleton(esk1_2(esk3_0,relation_field(esk3_0))),unordered_pair(esk1_2(esk3_0,relation_field(esk3_0)),esk1_2(esk3_0,relation_field(esk3_0)))),esk3_0)
    | in(esk4_0,relation_field(esk3_0)) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_49]),c_0_50]) ).

cnf(c_0_59,negated_conjecture,
    ( in(unordered_pair(singleton(esk1_2(esk3_0,relation_field(esk3_0))),unordered_pair(esk1_2(esk3_0,relation_field(esk3_0)),esk1_2(esk3_0,relation_field(esk3_0)))),esk3_0)
    | ~ in(unordered_pair(unordered_pair(esk4_0,esk4_0),singleton(esk4_0)),esk3_0) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_56]),c_0_49]),c_0_52]) ).

cnf(c_0_60,plain,
    ( in(unordered_pair(unordered_pair(X1,X1),singleton(X1)),X2)
    | ~ relation(X2)
    | ~ in(X1,X3)
    | ~ is_reflexive_in(X2,X3) ),
    i_0_10 ).

cnf(c_0_61,plain,
    ( is_reflexive_in(X1,relation_field(X1))
    | ~ relation(X1)
    | ~ reflexive(X1) ),
    i_0_14 ).

cnf(c_0_62,negated_conjecture,
    in(esk4_0,relation_field(esk3_0)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_57]),c_0_45])]),c_0_58]) ).

cnf(c_0_63,negated_conjecture,
    ~ in(unordered_pair(unordered_pair(esk4_0,esk4_0),singleton(esk4_0)),esk3_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_57]),c_0_45])]),c_0_59]) ).

cnf(c_0_64,plain,
    ( in(unordered_pair(unordered_pair(X1,X1),singleton(X1)),X2)
    | ~ relation(X2)
    | ~ in(X1,relation_field(X2))
    | ~ reflexive(X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_65,negated_conjecture,
    reflexive(esk3_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_62]),c_0_63]) ).

cnf(c_0_66,plain,
    ( in(unordered_pair(unordered_pair(X1,X1),singleton(X1)),esk3_0)
    | ~ in(X1,relation_field(esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_45])]) ).

cnf(c_0_67,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_66]),c_0_62])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU239+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % 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 23:48:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 4.57/2.27  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.57/2.27  # No SInE strategy applied
% 4.57/2.27  # Trying AutoSched0 for 150 seconds
% 4.57/2.27  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04AI
% 4.57/2.27  # and selection function SelectComplexExceptUniqMaxHorn.
% 4.57/2.27  #
% 4.57/2.27  # Preprocessing time       : 0.023 s
% 4.57/2.27  # Presaturation interreduction done
% 4.57/2.27  
% 4.57/2.27  # Proof found!
% 4.57/2.27  # SZS status Theorem
% 4.57/2.27  # SZS output start CNFRefutation
% See solution above
% 4.57/2.27  # Training examples: 0 positive, 0 negative
% 4.57/2.27  
% 4.57/2.27  # -------------------------------------------------
% 4.57/2.27  # User time                : 0.025 s
% 4.57/2.27  # System time              : 0.007 s
% 4.57/2.27  # Total time               : 0.033 s
% 4.57/2.27  # Maximum resident set size: 7124 pages
% 4.57/2.27  
%------------------------------------------------------------------------------