TSTP Solution File: SEU224+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU224+1 : TPTP v8.1.0. Released v3.3.0.
% 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 08:39:45 EDT 2022

% Result   : Theorem 8.18s 2.58s
% Output   : CNFRefutation 8.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   38 (  11 unt;   4 nHn;  30 RR)
%            Number of literals    :   92 (  14 equ;  54 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   62 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_12,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X4,X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i8hoar8j/lgb.p',i_0_12) ).

cnf(i_0_63,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-i8hoar8j/lgb.p',i_0_63) ).

cnf(i_0_28,plain,
    ( function(relation_dom_restriction(X1,X2))
    | ~ function(X1)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i8hoar8j/lgb.p',i_0_28) ).

cnf(i_0_18,plain,
    ( relation(relation_dom_restriction(X1,X2))
    | ~ relation(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i8hoar8j/lgb.p',i_0_18) ).

cnf(i_0_13,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X2,X4)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i8hoar8j/lgb.p',i_0_13) ).

cnf(i_0_11,plain,
    ( in(X1,X2)
    | X2 != set_intersection2(X3,X4)
    | ~ in(X1,X4)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i8hoar8j/lgb.p',i_0_11) ).

cnf(i_0_36,negated_conjecture,
    ( in(esk4_0,esk3_0)
    | in(esk4_0,relation_dom(relation_dom_restriction(esk5_0,esk3_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i8hoar8j/lgb.p',i_0_36) ).

cnf(i_0_40,negated_conjecture,
    relation(esk5_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i8hoar8j/lgb.p',i_0_40) ).

cnf(i_0_39,negated_conjecture,
    function(esk5_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i8hoar8j/lgb.p',i_0_39) ).

cnf(i_0_37,negated_conjecture,
    ( in(esk4_0,relation_dom(esk5_0))
    | in(esk4_0,relation_dom(relation_dom_restriction(esk5_0,esk3_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i8hoar8j/lgb.p',i_0_37) ).

cnf(i_0_38,negated_conjecture,
    ( ~ in(esk4_0,esk3_0)
    | ~ in(esk4_0,relation_dom(esk5_0))
    | ~ in(esk4_0,relation_dom(relation_dom_restriction(esk5_0,esk3_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i8hoar8j/lgb.p',i_0_38) ).

cnf(i_0_7,plain,
    set_intersection2(X1,X2) = set_intersection2(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i8hoar8j/lgb.p',i_0_7) ).

cnf(c_0_76,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X4,X2)
    | ~ in(X1,X3) ),
    i_0_12 ).

cnf(c_0_77,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_63 ).

cnf(c_0_78,plain,
    ( function(relation_dom_restriction(X1,X2))
    | ~ function(X1)
    | ~ relation(X1) ),
    i_0_28 ).

cnf(c_0_79,plain,
    ( relation(relation_dom_restriction(X1,X2))
    | ~ relation(X1) ),
    i_0_18 ).

cnf(c_0_80,plain,
    ( in(X1,X2)
    | ~ in(X1,set_intersection2(X3,X2)) ),
    inference(er,[status(thm)],[c_0_76]) ).

cnf(c_0_81,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_77]),c_0_78]),c_0_79]) ).

cnf(c_0_82,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X2,X4)
    | ~ in(X1,X3) ),
    i_0_13 ).

cnf(c_0_83,plain,
    ( in(X1,X2)
    | X2 != set_intersection2(X3,X4)
    | ~ in(X1,X4)
    | ~ in(X1,X3) ),
    i_0_11 ).

cnf(c_0_84,plain,
    ( in(X1,X2)
    | ~ relation(X3)
    | ~ function(X3)
    | ~ in(X1,relation_dom(relation_dom_restriction(X3,X2))) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_85,negated_conjecture,
    ( in(esk4_0,esk3_0)
    | in(esk4_0,relation_dom(relation_dom_restriction(esk5_0,esk3_0))) ),
    i_0_36 ).

cnf(c_0_86,negated_conjecture,
    relation(esk5_0),
    i_0_40 ).

cnf(c_0_87,negated_conjecture,
    function(esk5_0),
    i_0_39 ).

cnf(c_0_88,plain,
    ( in(X1,X2)
    | ~ in(X1,set_intersection2(X2,X3)) ),
    inference(er,[status(thm)],[c_0_82]) ).

cnf(c_0_89,plain,
    ( in(X1,set_intersection2(X2,X3))
    | ~ in(X1,X3)
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[c_0_83]) ).

cnf(c_0_90,negated_conjecture,
    in(esk4_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_87])]) ).

cnf(c_0_91,plain,
    ( in(X1,relation_dom(X2))
    | ~ relation(X2)
    | ~ function(X2)
    | ~ in(X1,relation_dom(relation_dom_restriction(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_88,c_0_81]) ).

cnf(c_0_92,negated_conjecture,
    ( in(esk4_0,relation_dom(esk5_0))
    | in(esk4_0,relation_dom(relation_dom_restriction(esk5_0,esk3_0))) ),
    i_0_37 ).

cnf(c_0_93,negated_conjecture,
    ( ~ in(esk4_0,esk3_0)
    | ~ in(esk4_0,relation_dom(esk5_0))
    | ~ in(esk4_0,relation_dom(relation_dom_restriction(esk5_0,esk3_0))) ),
    i_0_38 ).

cnf(c_0_94,plain,
    ( in(esk4_0,set_intersection2(X1,esk3_0))
    | ~ in(esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_95,negated_conjecture,
    in(esk4_0,relation_dom(esk5_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_86]),c_0_87])]) ).

cnf(c_0_96,plain,
    set_intersection2(X1,X2) = set_intersection2(X2,X1),
    i_0_7 ).

cnf(c_0_97,negated_conjecture,
    ( ~ in(esk4_0,relation_dom(relation_dom_restriction(esk5_0,esk3_0)))
    | ~ in(esk4_0,relation_dom(esk5_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_90])]) ).

cnf(c_0_98,plain,
    in(esk4_0,set_intersection2(esk3_0,relation_dom(esk5_0))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).

cnf(c_0_99,plain,
    ( set_intersection2(X1,relation_dom(X2)) = relation_dom(relation_dom_restriction(X2,X1))
    | ~ relation(X2)
    | ~ function(X2) ),
    inference(spm,[status(thm)],[c_0_96,c_0_81]) ).

cnf(c_0_100,negated_conjecture,
    ~ in(esk4_0,relation_dom(relation_dom_restriction(esk5_0,esk3_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_95])]) ).

cnf(c_0_101,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_86]),c_0_87])]),c_0_100]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU224+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 19 07:58:20 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.47  # ENIGMATIC: Selected complete mode:
% 8.18/2.58  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.18/2.58  # No SInE strategy applied
% 8.18/2.58  # Trying AutoSched0 for 150 seconds
% 8.18/2.58  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.18/2.58  # and selection function SelectNewComplexAHP.
% 8.18/2.58  #
% 8.18/2.58  # Preprocessing time       : 0.021 s
% 8.18/2.58  # Presaturation interreduction done
% 8.18/2.58  
% 8.18/2.58  # Proof found!
% 8.18/2.58  # SZS status Theorem
% 8.18/2.58  # SZS output start CNFRefutation
% See solution above
% 8.18/2.58  # Training examples: 0 positive, 0 negative
% 8.18/2.58  
% 8.18/2.58  # -------------------------------------------------
% 8.18/2.58  # User time                : 0.023 s
% 8.18/2.58  # System time              : 0.010 s
% 8.18/2.58  # Total time               : 0.033 s
% 8.18/2.58  # Maximum resident set size: 7124 pages
% 8.18/2.58  
%------------------------------------------------------------------------------