TSTP Solution File: NUM620+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM620+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 08:37:59 EDT 2022

% Result   : Theorem 9.77s 2.60s
% Output   : CNFRefutation 9.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   40 (  17 unt;   5 nHn;  40 RR)
%            Number of literals    :   79 (  14 equ;  41 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a7yfeof0/input.p',i_0_14) ).

cnf(i_0_226,negated_conjecture,
    aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a7yfeof0/input.p',i_0_226) ).

cnf(i_0_15,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a7yfeof0/input.p',i_0_15) ).

cnf(i_0_167,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a7yfeof0/input.p',i_0_167) ).

cnf(i_0_45,plain,
    aSet0(szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a7yfeof0/input.p',i_0_45) ).

cnf(i_0_78,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | X2 != szmzizndt0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a7yfeof0/input.p',i_0_78) ).

cnf(i_0_224,hypothesis,
    szmzizndt0(sdtlpdtrp0(xN,xm)) = xx,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a7yfeof0/input.p',i_0_224) ).

cnf(i_0_225,negated_conjecture,
    ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a7yfeof0/input.p',i_0_225) ).

cnf(i_0_223,hypothesis,
    aElementOf0(xm,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a7yfeof0/input.p',i_0_223) ).

cnf(i_0_48,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a7yfeof0/input.p',i_0_48) ).

cnf(i_0_216,hypothesis,
    aElementOf0(xn,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a7yfeof0/input.p',i_0_216) ).

cnf(i_0_7,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a7yfeof0/input.p',i_0_7) ).

cnf(i_0_11,plain,
    ( X1 != slcrc0
    | ~ aSet0(X1)
    | ~ isCountable0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a7yfeof0/input.p',i_0_11) ).

cnf(i_0_166,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a7yfeof0/input.p',i_0_166) ).

cnf(c_0_241,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    i_0_14 ).

cnf(c_0_242,negated_conjecture,
    aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    i_0_226 ).

cnf(c_0_243,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    i_0_15 ).

cnf(c_0_244,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_167 ).

cnf(c_0_245,plain,
    aSet0(szNzAzT0),
    i_0_45 ).

cnf(c_0_246,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | X2 != szmzizndt0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    i_0_78 ).

cnf(c_0_247,negated_conjecture,
    ( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,xm))
    | ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    inference(spm,[status(thm)],[c_0_241,c_0_242]) ).

cnf(c_0_248,plain,
    ( aSet0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245])]) ).

cnf(c_0_249,plain,
    ( X1 = slcrc0
    | aElementOf0(szmzizndt0(X1),X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_246]) ).

cnf(c_0_250,hypothesis,
    szmzizndt0(sdtlpdtrp0(xN,xm)) = xx,
    i_0_224 ).

cnf(c_0_251,negated_conjecture,
    ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    i_0_225 ).

cnf(c_0_252,plain,
    ( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,xm))
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_247,c_0_248]) ).

cnf(c_0_253,hypothesis,
    ( sdtlpdtrp0(xN,xm) = slcrc0
    | aElementOf0(xx,sdtlpdtrp0(xN,xm))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_254,hypothesis,
    aElementOf0(xm,szNzAzT0),
    i_0_223 ).

cnf(c_0_255,negated_conjecture,
    ( ~ aElementOf0(xx,sdtlpdtrp0(xN,xm))
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_251,c_0_252]) ).

cnf(c_0_256,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_48 ).

cnf(c_0_257,hypothesis,
    aElementOf0(xn,szNzAzT0),
    i_0_216 ).

cnf(c_0_258,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    i_0_7 ).

cnf(c_0_259,hypothesis,
    ( sdtlpdtrp0(xN,xm) = slcrc0
    | aElementOf0(xx,sdtlpdtrp0(xN,xm)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_244]),c_0_254])]) ).

cnf(c_0_260,plain,
    ~ aElementOf0(xx,sdtlpdtrp0(xN,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257])]) ).

cnf(c_0_261,plain,
    ( X1 != slcrc0
    | ~ aSet0(X1)
    | ~ isCountable0(X1) ),
    i_0_11 ).

cnf(c_0_262,plain,
    aSet0(slcrc0),
    inference(er,[status(thm)],[c_0_258]) ).

cnf(c_0_263,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_166 ).

cnf(c_0_264,hypothesis,
    sdtlpdtrp0(xN,xm) = slcrc0,
    inference(sr,[status(thm)],[c_0_259,c_0_260]) ).

cnf(c_0_265,plain,
    ~ isCountable0(slcrc0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_261]),c_0_262])]) ).

cnf(c_0_266,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_254])]),c_0_265]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM620+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n013.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jul  6 17:44:16 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 9.77/2.60  # ENIGMATIC: Solved by autoschedule:
% 9.77/2.60  # No SInE strategy applied
% 9.77/2.60  # Trying AutoSched0 for 150 seconds
% 9.77/2.60  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S0Y
% 9.77/2.60  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.77/2.60  #
% 9.77/2.60  # Preprocessing time       : 0.031 s
% 9.77/2.60  # Presaturation interreduction done
% 9.77/2.60  
% 9.77/2.60  # Proof found!
% 9.77/2.60  # SZS status Theorem
% 9.77/2.60  # SZS output start CNFRefutation
% See solution above
% 9.77/2.60  # Training examples: 0 positive, 0 negative
% 9.77/2.60  
% 9.77/2.60  # -------------------------------------------------
% 9.77/2.60  # User time                : 0.081 s
% 9.77/2.60  # System time              : 0.013 s
% 9.77/2.60  # Total time               : 0.094 s
% 9.77/2.60  # Maximum resident set size: 7120 pages
% 9.77/2.60  
%------------------------------------------------------------------------------