TSTP Solution File: SEU344+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU344+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 08:41:00 EDT 2022

% Result   : Theorem 8.20s 3.18s
% Output   : CNFRefutation 8.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   32 (  14 unt;   6 nHn;  28 RR)
%            Number of literals    :   76 (  13 equ;  43 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   41 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_299,plain,
    ( join(X1,X2,X3) = X3
    | empty_carrier(X1)
    | ~ join_semilatt_str(X1)
    | ~ below(X1,X2,X3)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9j1y_ar/lgb.p',i_0_299) ).

cnf(i_0_2248,lemma,
    ( join(boole_lattice(X1),X2,X3) = set_union2(X2,X3)
    | ~ element(X3,the_carrier(boole_lattice(X1)))
    | ~ element(X2,the_carrier(boole_lattice(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9j1y_ar/lgb.p',i_0_2248) ).

cnf(i_0_547,plain,
    ~ empty_carrier(boole_lattice(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9j1y_ar/lgb.p',i_0_547) ).

cnf(i_0_2302,negated_conjecture,
    ( subset(esk401_0,esk402_0)
    | below(boole_lattice(esk400_0),esk401_0,esk402_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9j1y_ar/lgb.p',i_0_2302) ).

cnf(i_0_2304,negated_conjecture,
    element(esk402_0,the_carrier(boole_lattice(esk400_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9j1y_ar/lgb.p',i_0_2304) ).

cnf(i_0_2305,negated_conjecture,
    element(esk401_0,the_carrier(boole_lattice(esk400_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9j1y_ar/lgb.p',i_0_2305) ).

cnf(i_0_2193,lemma,
    ( set_union2(X1,X2) = X2
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9j1y_ar/lgb.p',i_0_2193) ).

cnf(i_0_503,plain,
    ( join_semilatt_str(X1)
    | ~ latt_str(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9j1y_ar/lgb.p',i_0_503) ).

cnf(i_0_468,plain,
    latt_str(boole_lattice(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9j1y_ar/lgb.p',i_0_468) ).

cnf(i_0_2467,lemma,
    subset(X1,set_union2(X1,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9j1y_ar/lgb.p',i_0_2467) ).

cnf(i_0_298,plain,
    ( empty_carrier(X1)
    | below(X1,X2,X3)
    | join(X1,X2,X3) != X3
    | ~ join_semilatt_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9j1y_ar/lgb.p',i_0_298) ).

cnf(i_0_2303,negated_conjecture,
    ( ~ subset(esk401_0,esk402_0)
    | ~ below(boole_lattice(esk400_0),esk401_0,esk402_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9j1y_ar/lgb.p',i_0_2303) ).

cnf(c_0_2480,plain,
    ( join(X1,X2,X3) = X3
    | empty_carrier(X1)
    | ~ join_semilatt_str(X1)
    | ~ below(X1,X2,X3)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    i_0_299 ).

cnf(c_0_2481,lemma,
    ( join(boole_lattice(X1),X2,X3) = set_union2(X2,X3)
    | ~ element(X3,the_carrier(boole_lattice(X1)))
    | ~ element(X2,the_carrier(boole_lattice(X1))) ),
    i_0_2248 ).

cnf(c_0_2482,plain,
    ~ empty_carrier(boole_lattice(X1)),
    i_0_547 ).

cnf(c_0_2483,plain,
    ( set_union2(X1,X2) = X2
    | ~ join_semilatt_str(boole_lattice(X3))
    | ~ element(X2,the_carrier(boole_lattice(X3)))
    | ~ element(X1,the_carrier(boole_lattice(X3)))
    | ~ below(boole_lattice(X3),X1,X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2480,c_0_2481]),c_0_2482]) ).

cnf(c_0_2484,negated_conjecture,
    ( subset(esk401_0,esk402_0)
    | below(boole_lattice(esk400_0),esk401_0,esk402_0) ),
    i_0_2302 ).

cnf(c_0_2485,negated_conjecture,
    element(esk402_0,the_carrier(boole_lattice(esk400_0))),
    i_0_2304 ).

cnf(c_0_2486,negated_conjecture,
    element(esk401_0,the_carrier(boole_lattice(esk400_0))),
    i_0_2305 ).

cnf(c_0_2487,lemma,
    ( set_union2(X1,X2) = X2
    | ~ subset(X1,X2) ),
    i_0_2193 ).

cnf(c_0_2488,negated_conjecture,
    ( set_union2(esk401_0,esk402_0) = esk402_0
    | ~ join_semilatt_str(boole_lattice(esk400_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2483,c_0_2484]),c_0_2485]),c_0_2486])]),c_0_2487]) ).

cnf(c_0_2489,plain,
    ( join_semilatt_str(X1)
    | ~ latt_str(X1) ),
    i_0_503 ).

cnf(c_0_2490,plain,
    latt_str(boole_lattice(X1)),
    i_0_468 ).

cnf(c_0_2491,lemma,
    subset(X1,set_union2(X1,X2)),
    i_0_2467 ).

cnf(c_0_2492,plain,
    set_union2(esk401_0,esk402_0) = esk402_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2488,c_0_2489]),c_0_2490])]) ).

cnf(c_0_2493,plain,
    ( empty_carrier(X1)
    | below(X1,X2,X3)
    | join(X1,X2,X3) != X3
    | ~ join_semilatt_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    i_0_298 ).

cnf(c_0_2494,negated_conjecture,
    ( ~ subset(esk401_0,esk402_0)
    | ~ below(boole_lattice(esk400_0),esk401_0,esk402_0) ),
    i_0_2303 ).

cnf(c_0_2495,lemma,
    subset(esk401_0,esk402_0),
    inference(spm,[status(thm)],[c_0_2491,c_0_2492]) ).

cnf(c_0_2496,plain,
    ( below(boole_lattice(X1),X2,X3)
    | set_union2(X2,X3) != X3
    | ~ join_semilatt_str(boole_lattice(X1))
    | ~ element(X3,the_carrier(boole_lattice(X1)))
    | ~ element(X2,the_carrier(boole_lattice(X1))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2493,c_0_2481]),c_0_2482]) ).

cnf(c_0_2497,negated_conjecture,
    ~ below(boole_lattice(esk400_0),esk401_0,esk402_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2494,c_0_2495])]) ).

cnf(c_0_2498,plain,
    ( below(boole_lattice(X1),X2,X3)
    | set_union2(X2,X3) != X3
    | ~ element(X3,the_carrier(boole_lattice(X1)))
    | ~ element(X2,the_carrier(boole_lattice(X1))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2496,c_0_2489]),c_0_2490])]) ).

cnf(c_0_2499,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2497,c_0_2498]),c_0_2492]),c_0_2485]),c_0_2486])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU344+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 03:59:35 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.47  # ENIGMATIC: Selected SinE mode:
% 0.19/0.50  # Parsing /export/starexec/sandbox2/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
% 8.20/3.18  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.20/3.18  # No SInE strategy applied
% 8.20/3.18  # Trying AutoSched0 for 150 seconds
% 8.20/3.18  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 8.20/3.18  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.20/3.18  #
% 8.20/3.18  # Preprocessing time       : 0.026 s
% 8.20/3.18  
% 8.20/3.18  # Proof found!
% 8.20/3.18  # SZS status Theorem
% 8.20/3.18  # SZS output start CNFRefutation
% See solution above
% 8.20/3.18  # Training examples: 0 positive, 0 negative
% 8.20/3.18  
% 8.20/3.18  # -------------------------------------------------
% 8.20/3.18  # User time                : 0.037 s
% 8.20/3.18  # System time              : 0.007 s
% 8.20/3.18  # Total time               : 0.044 s
% 8.20/3.18  # Maximum resident set size: 7248 pages
% 8.20/3.18  
%------------------------------------------------------------------------------