TSTP Solution File: SEU387+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU387+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 08:41:46 EDT 2022

% Result   : Theorem 7.82s 2.27s
% Output   : CNFRefutation 7.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   36 (  29 unt;   2 nHn;  24 RR)
%            Number of literals    :   72 (   5 equ;  38 neg)
%            Maximal clause size   :   12 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-1 aty)
%            Number of variables   :   26 (  16 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_288,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogki6uy_/lgb.p',i_0_288) ).

cnf(i_0_276,negated_conjecture,
    empty(esk30_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogki6uy_/lgb.p',i_0_276) ).

cnf(i_0_292,plain,
    ( empty_carrier(X1)
    | empty(X2)
    | ~ rel_str(X1)
    | ~ reflexive_relstr(X1)
    | ~ lower_bounded_relstr(X1)
    | ~ transitive_relstr(X1)
    | ~ antisymmetric_relstr(X1)
    | ~ filtered_subset(X2,X1)
    | ~ upper_relstr_subset(X2,X1)
    | ~ in(bottom_of_relstr(X1),X2)
    | ~ element(X2,powerset(the_carrier(X1)))
    | ~ proper_element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogki6uy_/lgb.p',i_0_292) ).

cnf(i_0_289,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogki6uy_/lgb.p',i_0_289) ).

cnf(i_0_277,negated_conjecture,
    in(esk30_0,esk29_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogki6uy_/lgb.p',i_0_277) ).

cnf(i_0_279,negated_conjecture,
    proper_element(esk29_0,powerset(the_carrier(boole_POSet(esk28_0)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogki6uy_/lgb.p',i_0_279) ).

cnf(i_0_94,plain,
    antisymmetric_relstr(boole_POSet(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogki6uy_/lgb.p',i_0_94) ).

cnf(i_0_95,plain,
    transitive_relstr(boole_POSet(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogki6uy_/lgb.p',i_0_95) ).

cnf(i_0_93,plain,
    lower_bounded_relstr(boole_POSet(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogki6uy_/lgb.p',i_0_93) ).

cnf(i_0_96,plain,
    reflexive_relstr(boole_POSet(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogki6uy_/lgb.p',i_0_96) ).

cnf(i_0_61,plain,
    rel_str(boole_POSet(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogki6uy_/lgb.p',i_0_61) ).

cnf(i_0_273,plain,
    bottom_of_relstr(boole_POSet(X1)) = empty_set,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogki6uy_/lgb.p',i_0_273) ).

cnf(i_0_278,negated_conjecture,
    element(esk29_0,powerset(the_carrier(boole_POSet(esk28_0)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogki6uy_/lgb.p',i_0_278) ).

cnf(i_0_280,negated_conjecture,
    upper_relstr_subset(esk29_0,boole_POSet(esk28_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogki6uy_/lgb.p',i_0_280) ).

cnf(i_0_281,negated_conjecture,
    filtered_subset(esk29_0,boole_POSet(esk28_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogki6uy_/lgb.p',i_0_281) ).

cnf(i_0_98,plain,
    ~ empty_carrier(boole_POSet(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogki6uy_/lgb.p',i_0_98) ).

cnf(c_0_309,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    i_0_288 ).

cnf(c_0_310,negated_conjecture,
    empty(esk30_0),
    i_0_276 ).

cnf(c_0_311,plain,
    ( empty_carrier(X1)
    | empty(X2)
    | ~ rel_str(X1)
    | ~ reflexive_relstr(X1)
    | ~ lower_bounded_relstr(X1)
    | ~ transitive_relstr(X1)
    | ~ antisymmetric_relstr(X1)
    | ~ filtered_subset(X2,X1)
    | ~ upper_relstr_subset(X2,X1)
    | ~ in(bottom_of_relstr(X1),X2)
    | ~ element(X2,powerset(the_carrier(X1)))
    | ~ proper_element(X2,powerset(the_carrier(X1))) ),
    i_0_292 ).

cnf(c_0_312,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    i_0_289 ).

cnf(c_0_313,negated_conjecture,
    in(esk30_0,esk29_0),
    i_0_277 ).

cnf(c_0_314,negated_conjecture,
    esk30_0 = empty_set,
    inference(spm,[status(thm)],[c_0_309,c_0_310]) ).

cnf(c_0_315,plain,
    ( empty_carrier(X1)
    | ~ antisymmetric_relstr(X1)
    | ~ transitive_relstr(X1)
    | ~ lower_bounded_relstr(X1)
    | ~ reflexive_relstr(X1)
    | ~ rel_str(X1)
    | ~ in(bottom_of_relstr(X1),X2)
    | ~ element(X2,powerset(the_carrier(X1)))
    | ~ proper_element(X2,powerset(the_carrier(X1)))
    | ~ upper_relstr_subset(X2,X1)
    | ~ filtered_subset(X2,X1) ),
    inference(csr,[status(thm)],[c_0_311,c_0_312]) ).

cnf(c_0_316,negated_conjecture,
    proper_element(esk29_0,powerset(the_carrier(boole_POSet(esk28_0)))),
    i_0_279 ).

cnf(c_0_317,plain,
    antisymmetric_relstr(boole_POSet(X1)),
    i_0_94 ).

cnf(c_0_318,plain,
    transitive_relstr(boole_POSet(X1)),
    i_0_95 ).

cnf(c_0_319,plain,
    lower_bounded_relstr(boole_POSet(X1)),
    i_0_93 ).

cnf(c_0_320,plain,
    reflexive_relstr(boole_POSet(X1)),
    i_0_96 ).

cnf(c_0_321,plain,
    rel_str(boole_POSet(X1)),
    i_0_61 ).

cnf(c_0_322,plain,
    bottom_of_relstr(boole_POSet(X1)) = empty_set,
    i_0_273 ).

cnf(c_0_323,negated_conjecture,
    in(empty_set,esk29_0),
    inference(rw,[status(thm)],[c_0_313,c_0_314]) ).

cnf(c_0_324,negated_conjecture,
    element(esk29_0,powerset(the_carrier(boole_POSet(esk28_0)))),
    i_0_278 ).

cnf(c_0_325,negated_conjecture,
    upper_relstr_subset(esk29_0,boole_POSet(esk28_0)),
    i_0_280 ).

cnf(c_0_326,negated_conjecture,
    filtered_subset(esk29_0,boole_POSet(esk28_0)),
    i_0_281 ).

cnf(c_0_327,plain,
    ~ empty_carrier(boole_POSet(X1)),
    i_0_98 ).

cnf(c_0_328,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_317]),c_0_318]),c_0_319]),c_0_320]),c_0_321]),c_0_322]),c_0_323]),c_0_324]),c_0_325]),c_0_326])]),c_0_327]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU387+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n013.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jun 19 09:53:46 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 7.82/2.27  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.82/2.27  # No SInE strategy applied
% 7.82/2.27  # Trying AutoSched0 for 150 seconds
% 7.82/2.27  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.82/2.27  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.82/2.27  #
% 7.82/2.27  # Preprocessing time       : 0.026 s
% 7.82/2.27  # Presaturation interreduction done
% 7.82/2.27  
% 7.82/2.27  # Proof found!
% 7.82/2.27  # SZS status Theorem
% 7.82/2.27  # SZS output start CNFRefutation
% See solution above
% 7.82/2.27  # Training examples: 0 positive, 0 negative
% 7.82/2.27  
% 7.82/2.27  # -------------------------------------------------
% 7.82/2.27  # User time                : 0.030 s
% 7.82/2.27  # System time              : 0.007 s
% 7.82/2.27  # Total time               : 0.038 s
% 7.82/2.27  # Maximum resident set size: 7124 pages
% 7.82/2.27  
%------------------------------------------------------------------------------