TSTP Solution File: SEU344+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU344+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 4.49s 2.28s
% Output   : CNFRefutation 4.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   32 (  15 unt;   7 nHn;  27 RR)
%            Number of literals    :   68 (  13 equ;  36 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   :   33 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_95,negated_conjecture,
    ( ~ subset(esk17_0,esk18_0)
    | ~ below(boole_lattice(esk16_0),esk17_0,esk18_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-afxe8ii3/input.p',i_0_95) ).

cnf(i_0_10,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/sandbox/tmp/enigma-theBenchmark.p-afxe8ii3/input.p',i_0_10) ).

cnf(i_0_96,negated_conjecture,
    element(esk18_0,the_carrier(boole_lattice(esk16_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-afxe8ii3/input.p',i_0_96) ).

cnf(i_0_97,negated_conjecture,
    element(esk17_0,the_carrier(boole_lattice(esk16_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-afxe8ii3/input.p',i_0_97) ).

cnf(i_0_53,plain,
    ~ empty_carrier(boole_lattice(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-afxe8ii3/input.p',i_0_53) ).

cnf(i_0_33,plain,
    ( join_semilatt_str(X1)
    | ~ latt_str(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-afxe8ii3/input.p',i_0_33) ).

cnf(i_0_17,plain,
    latt_str(boole_lattice(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-afxe8ii3/input.p',i_0_17) ).

cnf(i_0_11,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/sandbox/tmp/enigma-theBenchmark.p-afxe8ii3/input.p',i_0_11) ).

cnf(i_0_94,negated_conjecture,
    ( subset(esk17_0,esk18_0)
    | below(boole_lattice(esk16_0),esk17_0,esk18_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-afxe8ii3/input.p',i_0_94) ).

cnf(i_0_91,plain,
    ( 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/sandbox/tmp/enigma-theBenchmark.p-afxe8ii3/input.p',i_0_91) ).

cnf(i_0_88,plain,
    ( set_union2(X1,X2) = X2
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-afxe8ii3/input.p',i_0_88) ).

cnf(i_0_105,plain,
    subset(X1,set_union2(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-afxe8ii3/input.p',i_0_105) ).

cnf(c_0_118,negated_conjecture,
    ( ~ subset(esk17_0,esk18_0)
    | ~ below(boole_lattice(esk16_0),esk17_0,esk18_0) ),
    i_0_95 ).

cnf(c_0_119,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_10 ).

cnf(c_0_120,negated_conjecture,
    element(esk18_0,the_carrier(boole_lattice(esk16_0))),
    i_0_96 ).

cnf(c_0_121,negated_conjecture,
    element(esk17_0,the_carrier(boole_lattice(esk16_0))),
    i_0_97 ).

cnf(c_0_122,plain,
    ~ empty_carrier(boole_lattice(X1)),
    i_0_53 ).

cnf(c_0_123,plain,
    ( join_semilatt_str(X1)
    | ~ latt_str(X1) ),
    i_0_33 ).

cnf(c_0_124,plain,
    latt_str(boole_lattice(X1)),
    i_0_17 ).

cnf(c_0_125,negated_conjecture,
    ( join(boole_lattice(esk16_0),esk17_0,esk18_0) != esk18_0
    | ~ subset(esk17_0,esk18_0)
    | ~ join_semilatt_str(boole_lattice(esk16_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),c_0_121])]),c_0_122]) ).

cnf(c_0_126,plain,
    join_semilatt_str(boole_lattice(X1)),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_127,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_11 ).

cnf(c_0_128,negated_conjecture,
    ( subset(esk17_0,esk18_0)
    | below(boole_lattice(esk16_0),esk17_0,esk18_0) ),
    i_0_94 ).

cnf(c_0_129,negated_conjecture,
    ( join(boole_lattice(esk16_0),esk17_0,esk18_0) != esk18_0
    | ~ subset(esk17_0,esk18_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_126])]) ).

cnf(c_0_130,plain,
    ( 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_91 ).

cnf(c_0_131,plain,
    ( set_union2(X1,X2) = X2
    | ~ subset(X1,X2) ),
    i_0_88 ).

cnf(c_0_132,negated_conjecture,
    ( join(boole_lattice(esk16_0),esk17_0,esk18_0) = esk18_0
    | subset(esk17_0,esk18_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_120]),c_0_121])]),c_0_122]),c_0_126])]) ).

cnf(c_0_133,plain,
    ~ subset(esk17_0,esk18_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_120]),c_0_121])]),c_0_131]) ).

cnf(c_0_134,negated_conjecture,
    join(boole_lattice(esk16_0),esk17_0,esk18_0) = esk18_0,
    inference(sr,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_135,plain,
    subset(X1,set_union2(X1,X2)),
    i_0_105 ).

cnf(c_0_136,plain,
    set_union2(esk17_0,esk18_0) = esk18_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_134]),c_0_120]),c_0_121])]) ).

cnf(c_0_137,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_133]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : SEU344+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.10  % Command  : enigmatic-eprover.py %s %d 1
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Mon Jun 20 11:21:20 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.14/0.38  # ENIGMATIC: Selected complete mode:
% 4.49/2.28  # ENIGMATIC: Solved by autoschedule:
% 4.49/2.28  # No SInE strategy applied
% 4.49/2.28  # Trying AutoSched0 for 150 seconds
% 4.49/2.28  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 4.49/2.28  # and selection function SelectMaxLComplexAvoidPosPred.
% 4.49/2.28  #
% 4.49/2.28  # Preprocessing time       : 0.016 s
% 4.49/2.28  
% 4.49/2.28  # Proof found!
% 4.49/2.28  # SZS status Theorem
% 4.49/2.28  # SZS output start CNFRefutation
% See solution above
% 4.49/2.28  # Training examples: 0 positive, 0 negative
% 4.49/2.28  
% 4.49/2.28  # -------------------------------------------------
% 4.49/2.28  # User time                : 0.021 s
% 4.49/2.28  # System time              : 0.006 s
% 4.49/2.28  # Total time               : 0.026 s
% 4.49/2.28  # Maximum resident set size: 7120 pages
% 4.49/2.28  
%------------------------------------------------------------------------------