TSTP Solution File: SEU194+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU194+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 08:39:23 EDT 2022

% Result   : Theorem 16.81s 3.32s
% Output   : CNFRefutation 16.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   29 (   9 unt;  10 nHn;  16 RR)
%            Number of literals    :   73 (  20 equ;  29 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   63 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_38,plain,
    ( in(X1,relation_dom(X2))
    | ~ relation(X2)
    | ~ in(X1,relation_dom(relation_dom_restriction(X2,X3))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z45i71q2/input.p',i_0_38) ).

cnf(i_0_4,plain,
    ( X1 = set_intersection2(X2,X3)
    | in(esk1_3(X2,X3,X1),X1)
    | in(esk1_3(X2,X3,X1),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z45i71q2/input.p',i_0_4) ).

cnf(i_0_42,negated_conjecture,
    relation(esk9_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z45i71q2/input.p',i_0_42) ).

cnf(i_0_39,plain,
    ( in(X1,X2)
    | ~ relation(X3)
    | ~ in(X1,relation_dom(relation_dom_restriction(X3,X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z45i71q2/input.p',i_0_39) ).

cnf(i_0_5,plain,
    ( X1 = set_intersection2(X2,X3)
    | in(esk1_3(X2,X3,X1),X1)
    | in(esk1_3(X2,X3,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z45i71q2/input.p',i_0_5) ).

cnf(i_0_6,plain,
    ( X1 = set_intersection2(X2,X3)
    | ~ in(esk1_3(X2,X3,X1),X1)
    | ~ in(esk1_3(X2,X3,X1),X3)
    | ~ in(esk1_3(X2,X3,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z45i71q2/input.p',i_0_6) ).

cnf(i_0_37,plain,
    ( in(X1,relation_dom(relation_dom_restriction(X2,X3)))
    | ~ relation(X2)
    | ~ in(X1,X3)
    | ~ in(X1,relation_dom(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z45i71q2/input.p',i_0_37) ).

cnf(i_0_41,negated_conjecture,
    relation_dom(relation_dom_restriction(esk9_0,esk8_0)) != set_intersection2(relation_dom(esk9_0),esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z45i71q2/input.p',i_0_41) ).

cnf(i_0_3,plain,
    set_intersection2(X1,X2) = set_intersection2(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z45i71q2/input.p',i_0_3) ).

cnf(c_0_52,plain,
    ( in(X1,relation_dom(X2))
    | ~ relation(X2)
    | ~ in(X1,relation_dom(relation_dom_restriction(X2,X3))) ),
    i_0_38 ).

cnf(c_0_53,plain,
    ( X1 = set_intersection2(X2,X3)
    | in(esk1_3(X2,X3,X1),X1)
    | in(esk1_3(X2,X3,X1),X3) ),
    i_0_4 ).

cnf(c_0_54,plain,
    ( relation_dom(relation_dom_restriction(X1,X2)) = set_intersection2(X3,X4)
    | in(esk1_3(X3,X4,relation_dom(relation_dom_restriction(X1,X2))),relation_dom(X1))
    | in(esk1_3(X3,X4,relation_dom(relation_dom_restriction(X1,X2))),X4)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_55,negated_conjecture,
    relation(esk9_0),
    i_0_42 ).

cnf(c_0_56,negated_conjecture,
    ( relation_dom(relation_dom_restriction(esk9_0,X1)) = set_intersection2(X2,X3)
    | in(esk1_3(X2,X3,relation_dom(relation_dom_restriction(esk9_0,X1))),relation_dom(esk9_0))
    | in(esk1_3(X2,X3,relation_dom(relation_dom_restriction(esk9_0,X1))),X3) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_57,plain,
    ( in(X1,X2)
    | ~ relation(X3)
    | ~ in(X1,relation_dom(relation_dom_restriction(X3,X2))) ),
    i_0_39 ).

cnf(c_0_58,plain,
    ( X1 = set_intersection2(X2,X3)
    | in(esk1_3(X2,X3,X1),X1)
    | in(esk1_3(X2,X3,X1),X2) ),
    i_0_5 ).

cnf(c_0_59,plain,
    ( X1 = set_intersection2(X2,X3)
    | ~ in(esk1_3(X2,X3,X1),X1)
    | ~ in(esk1_3(X2,X3,X1),X3)
    | ~ in(esk1_3(X2,X3,X1),X2) ),
    i_0_6 ).

cnf(c_0_60,negated_conjecture,
    ( relation_dom(relation_dom_restriction(esk9_0,X1)) = set_intersection2(X2,relation_dom(esk9_0))
    | in(esk1_3(X2,relation_dom(esk9_0),relation_dom(relation_dom_restriction(esk9_0,X1))),relation_dom(esk9_0)) ),
    inference(ef,[status(thm)],[c_0_56]) ).

cnf(c_0_61,plain,
    ( relation_dom(relation_dom_restriction(X1,X2)) = set_intersection2(X3,X4)
    | in(esk1_3(X3,X4,relation_dom(relation_dom_restriction(X1,X2))),X3)
    | in(esk1_3(X3,X4,relation_dom(relation_dom_restriction(X1,X2))),X2)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_62,negated_conjecture,
    ( relation_dom(relation_dom_restriction(esk9_0,X1)) = set_intersection2(X2,relation_dom(esk9_0))
    | ~ in(esk1_3(X2,relation_dom(esk9_0),relation_dom(relation_dom_restriction(esk9_0,X1))),relation_dom(relation_dom_restriction(esk9_0,X1)))
    | ~ in(esk1_3(X2,relation_dom(esk9_0),relation_dom(relation_dom_restriction(esk9_0,X1))),X2) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_63,plain,
    ( in(X1,relation_dom(relation_dom_restriction(X2,X3)))
    | ~ relation(X2)
    | ~ in(X1,X3)
    | ~ in(X1,relation_dom(X2)) ),
    i_0_37 ).

cnf(c_0_64,negated_conjecture,
    ( relation_dom(relation_dom_restriction(esk9_0,X1)) = set_intersection2(X2,X3)
    | in(esk1_3(X2,X3,relation_dom(relation_dom_restriction(esk9_0,X1))),X1)
    | in(esk1_3(X2,X3,relation_dom(relation_dom_restriction(esk9_0,X1))),X2) ),
    inference(spm,[status(thm)],[c_0_61,c_0_55]) ).

cnf(c_0_65,negated_conjecture,
    relation_dom(relation_dom_restriction(esk9_0,esk8_0)) != set_intersection2(relation_dom(esk9_0),esk8_0),
    i_0_41 ).

cnf(c_0_66,plain,
    set_intersection2(X1,X2) = set_intersection2(X2,X1),
    i_0_3 ).

cnf(c_0_67,plain,
    ( relation_dom(relation_dom_restriction(esk9_0,X1)) = set_intersection2(X2,relation_dom(esk9_0))
    | ~ in(esk1_3(X2,relation_dom(esk9_0),relation_dom(relation_dom_restriction(esk9_0,X1))),X2)
    | ~ in(esk1_3(X2,relation_dom(esk9_0),relation_dom(relation_dom_restriction(esk9_0,X1))),X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_55])]),c_0_60]) ).

cnf(c_0_68,negated_conjecture,
    ( relation_dom(relation_dom_restriction(esk9_0,X1)) = set_intersection2(X1,X2)
    | in(esk1_3(X1,X2,relation_dom(relation_dom_restriction(esk9_0,X1))),X1) ),
    inference(ef,[status(thm)],[c_0_64]) ).

cnf(c_0_69,negated_conjecture,
    relation_dom(relation_dom_restriction(esk9_0,esk8_0)) != set_intersection2(esk8_0,relation_dom(esk9_0)),
    inference(rw,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_70,negated_conjecture,
    relation_dom(relation_dom_restriction(esk9_0,X1)) = set_intersection2(X1,relation_dom(esk9_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU194+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n011.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Mon Jun 20 10:28:11 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected complete mode:
% 16.81/3.32  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 16.81/3.32  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 37; version: 991; iters: 150)
% 16.81/3.32  # Preprocessing time       : 0.864 s
% 16.81/3.32  
% 16.81/3.32  # Proof found!
% 16.81/3.32  # SZS status Theorem
% 16.81/3.32  # SZS output start CNFRefutation
% See solution above
% 16.81/3.32  # Training examples: 0 positive, 0 negative
% 16.81/3.32  
% 16.81/3.32  # -------------------------------------------------
% 16.81/3.32  # User time                : 1.082 s
% 16.81/3.32  # System time              : 0.121 s
% 16.81/3.32  # Total time               : 1.203 s
% 16.81/3.32  # ...preprocessing         : 0.864 s
% 16.81/3.32  # ...main loop             : 0.339 s
% 16.81/3.32  # Maximum resident set size: 168340 pages
% 16.81/3.32  
%------------------------------------------------------------------------------