TSTP Solution File: SEU037+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU037+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 08:38:08 EDT 2022

% Result   : Theorem 8.25s 2.48s
% Output   : CNFRefutation 8.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   24 (  13 unt;   0 nHn;  16 RR)
%            Number of literals    :   59 (  15 equ;  37 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   33 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_57,plain,
    ( relation_dom(X1) = set_intersection2(relation_dom(X2),X3)
    | X1 != relation_dom_restriction(X2,X3)
    | ~ function(X2)
    | ~ function(X1)
    | ~ relation(X2)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-if0gtodv/lgb.p',i_0_57) ).

cnf(i_0_18,plain,
    ( function(relation_dom_restriction(X1,X2))
    | ~ function(X1)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-if0gtodv/lgb.p',i_0_18) ).

cnf(i_0_8,plain,
    ( relation(relation_dom_restriction(X1,X2))
    | ~ relation(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-if0gtodv/lgb.p',i_0_8) ).

cnf(i_0_60,negated_conjecture,
    in(esk14_0,set_intersection2(relation_dom(esk15_0),esk13_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-if0gtodv/lgb.p',i_0_60) ).

cnf(i_0_7,plain,
    set_intersection2(X1,X2) = set_intersection2(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-if0gtodv/lgb.p',i_0_7) ).

cnf(i_0_56,plain,
    ( apply(X1,X2) = apply(X3,X2)
    | X1 != relation_dom_restriction(X3,X4)
    | ~ function(X3)
    | ~ function(X1)
    | ~ relation(X3)
    | ~ relation(X1)
    | ~ in(X2,relation_dom(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-if0gtodv/lgb.p',i_0_56) ).

cnf(i_0_62,negated_conjecture,
    relation(esk15_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-if0gtodv/lgb.p',i_0_62) ).

cnf(i_0_61,negated_conjecture,
    function(esk15_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-if0gtodv/lgb.p',i_0_61) ).

cnf(i_0_59,negated_conjecture,
    apply(relation_dom_restriction(esk15_0,esk13_0),esk14_0) != apply(esk15_0,esk14_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-if0gtodv/lgb.p',i_0_59) ).

cnf(c_0_72,plain,
    ( relation_dom(X1) = set_intersection2(relation_dom(X2),X3)
    | X1 != relation_dom_restriction(X2,X3)
    | ~ function(X2)
    | ~ function(X1)
    | ~ relation(X2)
    | ~ relation(X1) ),
    i_0_57 ).

cnf(c_0_73,plain,
    ( function(relation_dom_restriction(X1,X2))
    | ~ function(X1)
    | ~ relation(X1) ),
    i_0_18 ).

cnf(c_0_74,plain,
    ( relation(relation_dom_restriction(X1,X2))
    | ~ relation(X1) ),
    i_0_8 ).

cnf(c_0_75,negated_conjecture,
    in(esk14_0,set_intersection2(relation_dom(esk15_0),esk13_0)),
    i_0_60 ).

cnf(c_0_76,plain,
    set_intersection2(X1,X2) = set_intersection2(X2,X1),
    i_0_7 ).

cnf(c_0_77,plain,
    ( set_intersection2(relation_dom(X1),X2) = relation_dom(relation_dom_restriction(X1,X2))
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_72]),c_0_73]),c_0_74]) ).

cnf(c_0_78,plain,
    ( apply(X1,X2) = apply(X3,X2)
    | X1 != relation_dom_restriction(X3,X4)
    | ~ function(X3)
    | ~ function(X1)
    | ~ relation(X3)
    | ~ relation(X1)
    | ~ in(X2,relation_dom(X1)) ),
    i_0_56 ).

cnf(c_0_79,negated_conjecture,
    in(esk14_0,set_intersection2(esk13_0,relation_dom(esk15_0))),
    inference(rw,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_80,plain,
    ( set_intersection2(X1,relation_dom(X2)) = relation_dom(relation_dom_restriction(X2,X1))
    | ~ relation(X2)
    | ~ function(X2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_81,negated_conjecture,
    relation(esk15_0),
    i_0_62 ).

cnf(c_0_82,negated_conjecture,
    function(esk15_0),
    i_0_61 ).

cnf(c_0_83,plain,
    ( apply(relation_dom_restriction(X1,X2),X3) = apply(X1,X3)
    | ~ relation(X1)
    | ~ function(X1)
    | ~ in(X3,relation_dom(relation_dom_restriction(X1,X2))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_78]),c_0_73]),c_0_74]) ).

cnf(c_0_84,negated_conjecture,
    in(esk14_0,relation_dom(relation_dom_restriction(esk15_0,esk13_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_82])]) ).

cnf(c_0_85,negated_conjecture,
    apply(relation_dom_restriction(esk15_0,esk13_0),esk14_0) != apply(esk15_0,esk14_0),
    i_0_59 ).

cnf(c_0_86,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_81]),c_0_82])]),c_0_85]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU037+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n020.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 : Sat Jun 18 23:34:35 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.25/2.48  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.25/2.48  # No SInE strategy applied
% 8.25/2.48  # Trying AutoSched0 for 150 seconds
% 8.25/2.48  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S030A
% 8.25/2.48  # and selection function SelectStrongRRNonRROptimalLit.
% 8.25/2.48  #
% 8.25/2.48  # Preprocessing time       : 0.012 s
% 8.25/2.48  # Presaturation interreduction done
% 8.25/2.48  
% 8.25/2.48  # Proof found!
% 8.25/2.48  # SZS status Theorem
% 8.25/2.48  # SZS output start CNFRefutation
% See solution above
% 8.25/2.48  # Training examples: 0 positive, 0 negative
% 8.25/2.48  
% 8.25/2.48  # -------------------------------------------------
% 8.25/2.48  # User time                : 0.015 s
% 8.25/2.48  # System time              : 0.007 s
% 8.25/2.48  # Total time               : 0.022 s
% 8.25/2.48  # Maximum resident set size: 7124 pages
% 8.25/2.48  
%------------------------------------------------------------------------------