TSTP Solution File: SEU180+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU180+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 08:39:15 EDT 2022

% Result   : Theorem 7.26s 2.34s
% Output   : CNFRefutation 7.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   27 (   9 unt;   0 nHn;  26 RR)
%            Number of literals    :   60 (  14 equ;  36 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   45 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
    ( in(X1,X2)
    | X2 != set_union2(X3,X4)
    | ~ in(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-53is3s1x/lgb.p',i_0_7) ).

cnf(i_0_16,plain,
    ( in(X1,X2)
    | X2 != relation_rng(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-53is3s1x/lgb.p',i_0_16) ).

cnf(i_0_46,negated_conjecture,
    in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk14_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-53is3s1x/lgb.p',i_0_46) ).

cnf(i_0_47,negated_conjecture,
    relation(esk14_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-53is3s1x/lgb.p',i_0_47) ).

cnf(i_0_12,plain,
    ( in(X1,X2)
    | X2 != relation_dom(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-53is3s1x/lgb.p',i_0_12) ).

cnf(i_0_19,plain,
    ( set_union2(relation_dom(X1),relation_rng(X1)) = relation_field(X1)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-53is3s1x/lgb.p',i_0_19) ).

cnf(i_0_8,plain,
    ( in(X1,X2)
    | X2 != set_union2(X3,X4)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-53is3s1x/lgb.p',i_0_8) ).

cnf(i_0_45,negated_conjecture,
    ( ~ in(esk12_0,relation_field(esk14_0))
    | ~ in(esk13_0,relation_field(esk14_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-53is3s1x/lgb.p',i_0_45) ).

cnf(c_0_56,plain,
    ( in(X1,X2)
    | X2 != set_union2(X3,X4)
    | ~ in(X1,X4) ),
    i_0_7 ).

cnf(c_0_57,plain,
    ( in(X1,X2)
    | X2 != relation_rng(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
    i_0_16 ).

cnf(c_0_58,negated_conjecture,
    in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk14_0),
    i_0_46 ).

cnf(c_0_59,negated_conjecture,
    relation(esk14_0),
    i_0_47 ).

cnf(c_0_60,plain,
    ( in(X1,X2)
    | X2 != relation_dom(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
    i_0_12 ).

cnf(c_0_61,plain,
    ( in(X1,set_union2(X2,X3))
    | ~ in(X1,X3) ),
    inference(er,[status(thm)],[c_0_56]) ).

cnf(c_0_62,plain,
    ( set_union2(relation_dom(X1),relation_rng(X1)) = relation_field(X1)
    | ~ relation(X1) ),
    i_0_19 ).

cnf(c_0_63,negated_conjecture,
    ( in(esk13_0,X1)
    | X1 != relation_rng(esk14_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).

cnf(c_0_64,plain,
    ( in(X1,X2)
    | X2 != set_union2(X3,X4)
    | ~ in(X1,X3) ),
    i_0_8 ).

cnf(c_0_65,negated_conjecture,
    ( in(esk12_0,X1)
    | X1 != relation_dom(esk14_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_58]),c_0_59])]) ).

cnf(c_0_66,plain,
    ( in(X1,relation_field(X2))
    | ~ relation(X2)
    | ~ in(X1,relation_rng(X2)) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_67,negated_conjecture,
    in(esk13_0,relation_rng(esk14_0)),
    inference(er,[status(thm)],[c_0_63]) ).

cnf(c_0_68,plain,
    ( in(X1,X2)
    | X2 != relation_field(X3)
    | ~ relation(X3)
    | ~ in(X1,relation_dom(X3)) ),
    inference(spm,[status(thm)],[c_0_64,c_0_62]) ).

cnf(c_0_69,negated_conjecture,
    in(esk12_0,relation_dom(esk14_0)),
    inference(er,[status(thm)],[c_0_65]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ in(esk12_0,relation_field(esk14_0))
    | ~ in(esk13_0,relation_field(esk14_0)) ),
    i_0_45 ).

cnf(c_0_71,negated_conjecture,
    in(esk13_0,relation_field(esk14_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_59])]) ).

cnf(c_0_72,negated_conjecture,
    ( in(esk12_0,X1)
    | X1 != relation_field(esk14_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_59])]) ).

cnf(c_0_73,negated_conjecture,
    ~ in(esk12_0,relation_field(esk14_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71])]) ).

cnf(c_0_74,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_72]),c_0_73]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU180+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n026.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 05:33:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.26/2.34  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.26/2.34  # No SInE strategy applied
% 7.26/2.34  # Trying AutoSched0 for 150 seconds
% 7.26/2.34  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 7.26/2.34  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.26/2.34  #
% 7.26/2.34  # Preprocessing time       : 0.012 s
% 7.26/2.34  
% 7.26/2.34  # Proof found!
% 7.26/2.34  # SZS status Theorem
% 7.26/2.34  # SZS output start CNFRefutation
% See solution above
% 7.26/2.34  # Training examples: 0 positive, 0 negative
% 7.26/2.34  
% 7.26/2.34  # -------------------------------------------------
% 7.26/2.34  # User time                : 0.017 s
% 7.26/2.34  # System time              : 0.004 s
% 7.26/2.34  # Total time               : 0.021 s
% 7.26/2.34  # Maximum resident set size: 7124 pages
% 7.26/2.34  
%------------------------------------------------------------------------------