TSTP Solution File: NUM545+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM545+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 : Mon Jul 18 08:37:11 EDT 2022

% Result   : Theorem 4.50s 2.09s
% Output   : CNFRefutation 4.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   33 (  15 unt;   5 nHn;  33 RR)
%            Number of literals    :   63 (  14 equ;  29 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-1 aty)
%            Number of variables   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_101,negated_conjecture,
    ( ~ aElementOf0(X1,szNzAzT0)
    | ~ aSubsetOf0(xS,slbdtrb0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2r85t8jh/lgb.p',i_0_101) ).

cnf(i_0_100,hypothesis,
    ( xS = slcrc0
    | aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2r85t8jh/lgb.p',i_0_100) ).

cnf(i_0_14,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2r85t8jh/lgb.p',i_0_14) ).

cnf(i_0_99,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2r85t8jh/lgb.p',i_0_99) ).

cnf(i_0_45,plain,
    aSet0(szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2r85t8jh/lgb.p',i_0_45) ).

cnf(i_0_82,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | X2 != szmzazxdt0(X1)
    | ~ isFinite0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2r85t8jh/lgb.p',i_0_82) ).

cnf(i_0_48,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2r85t8jh/lgb.p',i_0_48) ).

cnf(i_0_92,plain,
    slbdtrb0(sz00) = slcrc0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2r85t8jh/lgb.p',i_0_92) ).

cnf(i_0_46,plain,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2r85t8jh/lgb.p',i_0_46) ).

cnf(i_0_98,hypothesis,
    isFinite0(xS),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2r85t8jh/lgb.p',i_0_98) ).

cnf(i_0_7,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2r85t8jh/lgb.p',i_0_7) ).

cnf(i_0_17,plain,
    ( aSubsetOf0(X1,X1)
    | ~ aSet0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2r85t8jh/lgb.p',i_0_17) ).

cnf(c_0_114,negated_conjecture,
    ( ~ aElementOf0(X1,szNzAzT0)
    | ~ aSubsetOf0(xS,slbdtrb0(X1)) ),
    i_0_101 ).

cnf(c_0_115,hypothesis,
    ( xS = slcrc0
    | aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
    i_0_100 ).

cnf(c_0_116,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    i_0_14 ).

cnf(c_0_117,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    i_0_99 ).

cnf(c_0_118,plain,
    aSet0(szNzAzT0),
    i_0_45 ).

cnf(c_0_119,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | X2 != szmzazxdt0(X1)
    | ~ isFinite0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    i_0_82 ).

cnf(c_0_120,negated_conjecture,
    ( xS = slcrc0
    | ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_121,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_48 ).

cnf(c_0_122,plain,
    slbdtrb0(sz00) = slcrc0,
    i_0_92 ).

cnf(c_0_123,plain,
    aElementOf0(sz00,szNzAzT0),
    i_0_46 ).

cnf(c_0_124,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,xS) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118])]) ).

cnf(c_0_125,plain,
    ( X1 = slcrc0
    | aElementOf0(szmzazxdt0(X1),X1)
    | ~ isFinite0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_119]) ).

cnf(c_0_126,hypothesis,
    isFinite0(xS),
    i_0_98 ).

cnf(c_0_127,plain,
    ( xS = slcrc0
    | ~ aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_128,plain,
    ~ aSubsetOf0(xS,slcrc0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_122]),c_0_123])]) ).

cnf(c_0_129,hypothesis,
    xS = slcrc0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),c_0_117])]),c_0_127]) ).

cnf(c_0_130,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    i_0_7 ).

cnf(c_0_131,plain,
    ~ aSubsetOf0(slcrc0,slcrc0),
    inference(rw,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_132,plain,
    ( aSubsetOf0(X1,X1)
    | ~ aSet0(X1) ),
    i_0_17 ).

cnf(c_0_133,plain,
    aSet0(slcrc0),
    inference(er,[status(thm)],[c_0_130]) ).

cnf(c_0_134,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM545+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n026.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 : Thu Jul  7 00:24:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.42  # ENIGMATIC: Selected complete mode:
% 4.50/2.09  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.50/2.09  # No SInE strategy applied
% 4.50/2.09  # Trying AutoSched0 for 150 seconds
% 4.50/2.09  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 4.50/2.09  # and selection function SelectMaxLComplexAvoidPosPred.
% 4.50/2.09  #
% 4.50/2.09  # Preprocessing time       : 0.024 s
% 4.50/2.09  
% 4.50/2.09  # Proof found!
% 4.50/2.09  # SZS status Theorem
% 4.50/2.09  # SZS output start CNFRefutation
% See solution above
% 4.50/2.09  # Training examples: 0 positive, 0 negative
% 4.50/2.09  
% 4.50/2.09  # -------------------------------------------------
% 4.50/2.09  # User time                : 0.031 s
% 4.50/2.09  # System time              : 0.006 s
% 4.50/2.09  # Total time               : 0.037 s
% 4.50/2.09  # Maximum resident set size: 7120 pages
% 4.50/2.09  
%------------------------------------------------------------------------------