%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET676+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 00:13:23 EDT 2022

% Result   : Theorem 8.49s 2.46s
% Output   : CNFRefutation 8.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   22 (   0 equ;  13 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
    ( ilf_type(X1,identity_relation_of_type(X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,relation_type(X2,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aporbsjf/input.p',i_0_9) ).

cnf(i_0_39,plain,
    ilf_type(X1,set_type),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aporbsjf/input.p',i_0_39) ).

cnf(i_0_1,plain,
    ( ilf_type(cross_product(X1,X2),relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aporbsjf/input.p',i_0_1) ).

cnf(i_0_40,negated_conjecture,
    ~ ilf_type(cross_product(esk12_0,esk12_0),identity_relation_of_type(esk12_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aporbsjf/input.p',i_0_40) ).

cnf(c_0_45,plain,
    ( ilf_type(X1,identity_relation_of_type(X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,relation_type(X2,X2)) ),
    i_0_9 ).

cnf(c_0_46,plain,
    ilf_type(X1,set_type),
    i_0_39 ).

cnf(c_0_47,plain,
    ( ilf_type(cross_product(X1,X2),relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    i_0_1 ).

cnf(c_0_48,negated_conjecture,
    ~ ilf_type(cross_product(esk12_0,esk12_0),identity_relation_of_type(esk12_0)),
    i_0_40 ).

cnf(c_0_49,plain,
    ( ilf_type(X1,identity_relation_of_type(X2))
    | ~ ilf_type(X1,relation_type(X2,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46]),c_0_46])]) ).

cnf(c_0_50,plain,
    ilf_type(cross_product(X1,X2),relation_type(X1,X2)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_46]),c_0_46])]) ).

cnf(c_0_51,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET676+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n010.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 Jul 10 12:16:32 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.49/2.46  # ENIGMATIC: Solved by autoschedule:
% 8.49/2.46  # No SInE strategy applied
% 8.49/2.46  # Trying AutoSched0 for 150 seconds
% 8.49/2.46  # AutoSched0-Mode selected heuristic G_E___107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U
% 8.49/2.46  # and selection function SelectNewComplexAHPExceptRRHorn.
% 8.49/2.46  #
% 8.49/2.46  # Preprocessing time       : 0.023 s
% 8.49/2.46  # Presaturation interreduction done
% 8.49/2.46  
% 8.49/2.46  # Proof found!
% 8.49/2.46  # SZS status Theorem
% 8.49/2.46  # SZS output start CNFRefutation
% See solution above
% 8.49/2.46  # Training examples: 0 positive, 0 negative
% 8.49/2.46  
% 8.49/2.46  # -------------------------------------------------
% 8.49/2.46  # User time                : 0.025 s
% 8.49/2.46  # System time              : 0.006 s
% 8.49/2.46  # Total time               : 0.031 s
% 8.49/2.46  # Maximum resident set size: 7120 pages
% 8.49/2.46  
%------------------------------------------------------------------------------