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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : TOP021+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 : Thu Jul 21 21:24:30 EDT 2022

% Result   : Theorem 4.34s 2.11s
% Output   : CNFRefutation 4.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (  10 unt;   0 nHn;   7 RR)
%            Number of literals    :   20 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   24 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3,plain,
    ( a_locally_compact_top_space(X1)
    | ~ a_locally_compact_top_space(X2)
    | ~ a_continuous_function_from_onto(X3,X2,X1)
    | ~ an_open_function_from_onto(X3,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7_kkya_/lgb.p',i_0_3) ).

cnf(i_0_1,plain,
    a_continuous_function_from_onto(the_projection_function(X1,X2,X3),the_product_top_space_over(X2,X3),apply(X2,X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7_kkya_/lgb.p',i_0_1) ).

cnf(i_0_2,plain,
    an_open_function_from_onto(the_projection_function(X1,X2,X3),the_product_top_space_over(X4,X3),apply(X4,X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7_kkya_/lgb.p',i_0_2) ).

cnf(i_0_5,negated_conjecture,
    a_locally_compact_top_space(the_product_top_space_over(esk1_0,esk2_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7_kkya_/lgb.p',i_0_5) ).

cnf(i_0_4,negated_conjecture,
    ~ a_locally_compact_top_space(apply(esk1_0,esk3_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7_kkya_/lgb.p',i_0_4) ).

cnf(c_0_11,plain,
    ( a_locally_compact_top_space(X1)
    | ~ a_locally_compact_top_space(X2)
    | ~ a_continuous_function_from_onto(X3,X2,X1)
    | ~ an_open_function_from_onto(X3,X2,X1) ),
    i_0_3 ).

cnf(c_0_12,plain,
    a_continuous_function_from_onto(the_projection_function(X1,X2,X3),the_product_top_space_over(X2,X3),apply(X2,X1)),
    i_0_1 ).

cnf(c_0_13,plain,
    an_open_function_from_onto(the_projection_function(X1,X2,X3),the_product_top_space_over(X4,X3),apply(X4,X1)),
    i_0_2 ).

cnf(c_0_14,plain,
    ( a_locally_compact_top_space(apply(X1,X2))
    | ~ a_locally_compact_top_space(the_product_top_space_over(X1,X3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).

cnf(c_0_15,negated_conjecture,
    a_locally_compact_top_space(the_product_top_space_over(esk1_0,esk2_0)),
    i_0_5 ).

cnf(c_0_16,negated_conjecture,
    ~ a_locally_compact_top_space(apply(esk1_0,esk3_0)),
    i_0_4 ).

cnf(c_0_17,negated_conjecture,
    a_locally_compact_top_space(apply(esk1_0,X1)),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : TOP021+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n023.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 May 29 05:01:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 4.34/2.11  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.34/2.11  # No SInE strategy applied
% 4.34/2.11  # Trying AutoSched0 for 150 seconds
% 4.34/2.11  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S002I
% 4.34/2.11  # and selection function SelectNegativeLiterals.
% 4.34/2.11  #
% 4.34/2.11  # Preprocessing time       : 0.023 s
% 4.34/2.11  # Presaturation interreduction done
% 4.34/2.11  
% 4.34/2.11  # Proof found!
% 4.34/2.11  # SZS status Theorem
% 4.34/2.11  # SZS output start CNFRefutation
% See solution above
% 4.34/2.11  # Training examples: 0 positive, 0 negative
% 4.34/2.11  
% 4.34/2.11  # -------------------------------------------------
% 4.34/2.11  # User time                : 0.024 s
% 4.34/2.11  # System time              : 0.003 s
% 4.34/2.11  # Total time               : 0.027 s
% 4.34/2.11  # Maximum resident set size: 7124 pages
% 4.34/2.11  
%------------------------------------------------------------------------------