TSTP Solution File: SEU371+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU371+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 08:41:37 EDT 2022

% Result   : Theorem 26.77s 5.65s
% Output   : CNFRefutation 26.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   31 (  19 unt;   6 nHn;  16 RR)
%            Number of literals    :   64 (  17 equ;  37 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :   25 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2890,negated_conjecture,
    bottom_of_relstr(incl_POSet(powerset(esk459_0))) != empty_set,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h4e4ve6x/input.p',i_0_2890) ).

cnf(i_0_187,plain,
    ( join_on_relstr(X1,empty_set) = bottom_of_relstr(X1)
    | ~ rel_str(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h4e4ve6x/input.p',i_0_187) ).

cnf(i_0_688,plain,
    rel_str(incl_POSet(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h4e4ve6x/input.p',i_0_688) ).

cnf(i_0_2965,lemma,
    ( join_on_relstr(poset_of_lattice(X1),X2) = join_of_latt_set(X1,X2)
    | empty_carrier(X1)
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ complete_latt_str(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h4e4ve6x/input.p',i_0_2965) ).

cnf(i_0_413,plain,
    poset_of_lattice(boole_lattice(X1)) = incl_POSet(powerset(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h4e4ve6x/input.p',i_0_413) ).

cnf(i_0_799,plain,
    ~ empty_carrier(boole_lattice(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h4e4ve6x/input.p',i_0_799) ).

cnf(i_0_3032,lemma,
    bottom_of_semilattstr(boole_lattice(X1)) = empty_set,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h4e4ve6x/input.p',i_0_3032) ).

cnf(i_0_3090,lemma,
    ( join_of_latt_set(X1,empty_set) = bottom_of_semilattstr(X1)
    | empty_carrier(X1)
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ complete_latt_str(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h4e4ve6x/input.p',i_0_3090) ).

cnf(i_0_660,plain,
    latt_str(boole_lattice(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h4e4ve6x/input.p',i_0_660) ).

cnf(i_0_791,plain,
    lattice(boole_lattice(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h4e4ve6x/input.p',i_0_791) ).

cnf(i_0_783,plain,
    complete_latt_str(boole_lattice(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h4e4ve6x/input.p',i_0_783) ).

cnf(c_0_3102,negated_conjecture,
    bottom_of_relstr(incl_POSet(powerset(esk459_0))) != empty_set,
    i_0_2890 ).

cnf(c_0_3103,plain,
    ( join_on_relstr(X1,empty_set) = bottom_of_relstr(X1)
    | ~ rel_str(X1) ),
    i_0_187 ).

cnf(c_0_3104,negated_conjecture,
    ( join_on_relstr(incl_POSet(powerset(esk459_0)),empty_set) != empty_set
    | ~ rel_str(incl_POSet(powerset(esk459_0))) ),
    inference(spm,[status(thm)],[c_0_3102,c_0_3103]) ).

cnf(c_0_3105,plain,
    rel_str(incl_POSet(X1)),
    i_0_688 ).

cnf(c_0_3106,lemma,
    ( join_on_relstr(poset_of_lattice(X1),X2) = join_of_latt_set(X1,X2)
    | empty_carrier(X1)
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ complete_latt_str(X1) ),
    i_0_2965 ).

cnf(c_0_3107,plain,
    poset_of_lattice(boole_lattice(X1)) = incl_POSet(powerset(X1)),
    i_0_413 ).

cnf(c_0_3108,negated_conjecture,
    join_on_relstr(incl_POSet(powerset(esk459_0)),empty_set) != empty_set,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3104,c_0_3105])]) ).

cnf(c_0_3109,plain,
    ( join_on_relstr(incl_POSet(powerset(X1)),X2) = join_of_latt_set(boole_lattice(X1),X2)
    | empty_carrier(boole_lattice(X1))
    | ~ complete_latt_str(boole_lattice(X1))
    | ~ lattice(boole_lattice(X1))
    | ~ latt_str(boole_lattice(X1)) ),
    inference(spm,[status(thm)],[c_0_3106,c_0_3107]) ).

cnf(c_0_3110,plain,
    ~ empty_carrier(boole_lattice(X1)),
    i_0_799 ).

cnf(c_0_3111,lemma,
    bottom_of_semilattstr(boole_lattice(X1)) = empty_set,
    i_0_3032 ).

cnf(c_0_3112,lemma,
    ( join_of_latt_set(X1,empty_set) = bottom_of_semilattstr(X1)
    | empty_carrier(X1)
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ complete_latt_str(X1) ),
    i_0_3090 ).

cnf(c_0_3113,plain,
    ( join_of_latt_set(boole_lattice(esk459_0),empty_set) != empty_set
    | ~ complete_latt_str(boole_lattice(esk459_0))
    | ~ lattice(boole_lattice(esk459_0))
    | ~ latt_str(boole_lattice(esk459_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3108,c_0_3109]),c_0_3110]) ).

cnf(c_0_3114,lemma,
    ( join_of_latt_set(boole_lattice(X1),empty_set) = empty_set
    | empty_carrier(boole_lattice(X1))
    | ~ complete_latt_str(boole_lattice(X1))
    | ~ lattice(boole_lattice(X1))
    | ~ latt_str(boole_lattice(X1)) ),
    inference(spm,[status(thm)],[c_0_3111,c_0_3112]) ).

cnf(c_0_3115,lemma,
    ( ~ complete_latt_str(boole_lattice(esk459_0))
    | ~ lattice(boole_lattice(esk459_0))
    | ~ latt_str(boole_lattice(esk459_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3113,c_0_3114]),c_0_3110]) ).

cnf(c_0_3116,plain,
    latt_str(boole_lattice(X1)),
    i_0_660 ).

cnf(c_0_3117,lemma,
    ( ~ complete_latt_str(boole_lattice(esk459_0))
    | ~ lattice(boole_lattice(esk459_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3115,c_0_3116])]) ).

cnf(c_0_3118,plain,
    lattice(boole_lattice(X1)),
    i_0_791 ).

cnf(c_0_3119,lemma,
    ~ complete_latt_str(boole_lattice(esk459_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3117,c_0_3118])]) ).

cnf(c_0_3120,plain,
    complete_latt_str(boole_lattice(X1)),
    i_0_783 ).

cnf(c_0_3121,lemma,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3119,c_0_3120])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU371+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 19 10:19:16 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected SinE mode:
% 0.19/0.50  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.50  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.50  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 26.77/5.65  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 26.77/5.65  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 25; version: 991; iters: 150)
% 26.77/5.65  # Preprocessing time       : 2.204 s
% 26.77/5.65  
% 26.77/5.65  # Proof found!
% 26.77/5.65  # SZS status Theorem
% 26.77/5.65  # SZS output start CNFRefutation
% See solution above
% 26.77/5.65  # Training examples: 0 positive, 0 negative
% 26.77/5.65  
% 26.77/5.65  # -------------------------------------------------
% 26.77/5.65  # User time                : 2.091 s
% 26.77/5.65  # System time              : 0.141 s
% 26.77/5.65  # Total time               : 2.232 s
% 26.77/5.65  # ...preprocessing         : 2.204 s
% 26.77/5.65  # ...main loop             : 0.027 s
% 26.77/5.65  # Maximum resident set size: 186892 pages
% 26.77/5.65  
%------------------------------------------------------------------------------