TSTP Solution File: NUM581+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM581+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 08:37:35 EDT 2022

% Result   : Theorem 25.24s 5.52s
% Output   : CNFRefutation 25.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   34 (  16 unt;   3 nHn;  34 RR)
%            Number of literals    :   66 (   5 equ;  31 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   24 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4180,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m9cawetq/input.p',i_0_4180) ).

cnf(i_0_4173,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m9cawetq/input.p',i_0_4173) ).

cnf(i_0_46,plain,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m9cawetq/input.p',i_0_46) ).

cnf(i_0_54,plain,
    ( sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m9cawetq/input.p',i_0_54) ).

cnf(i_0_4203,hypothesis,
    ( X1 = szmzizndt0(sdtlpdtrp0(xN,xi))
    | aElementOf0(X1,xQ)
    | ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m9cawetq/input.p',i_0_4203) ).

cnf(i_0_4210,negated_conjecture,
    aElementOf0(esk33_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m9cawetq/input.p',i_0_4210) ).

cnf(i_0_4195,hypothesis,
    ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m9cawetq/input.p',i_0_4195) ).

cnf(i_0_4191,hypothesis,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    | ~ aElementOf0(X1,xQ) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m9cawetq/input.p',i_0_4191) ).

cnf(i_0_14,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m9cawetq/input.p',i_0_14) ).

cnf(i_0_151,hypothesis,
    aSet0(xS),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m9cawetq/input.p',i_0_151) ).

cnf(i_0_4199,hypothesis,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m9cawetq/input.p',i_0_4199) ).

cnf(i_0_4187,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m9cawetq/input.p',i_0_4187) ).

cnf(i_0_4209,negated_conjecture,
    ~ aElementOf0(esk33_0,xS),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m9cawetq/input.p',i_0_4209) ).

cnf(c_0_4224,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_4180 ).

cnf(c_0_4225,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    i_0_4173 ).

cnf(c_0_4226,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
    | ~ sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(sz00,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_4224,c_0_4225]) ).

cnf(c_0_4227,plain,
    aElementOf0(sz00,szNzAzT0),
    i_0_46 ).

cnf(c_0_4228,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
    | ~ sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4226,c_0_4227])]) ).

cnf(c_0_4229,plain,
    ( sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_54 ).

cnf(c_0_4230,hypothesis,
    ( X1 = szmzizndt0(sdtlpdtrp0(xN,xi))
    | aElementOf0(X1,xQ)
    | ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
    i_0_4203 ).

cnf(c_0_4231,negated_conjecture,
    aElementOf0(esk33_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
    i_0_4210 ).

cnf(c_0_4232,hypothesis,
    ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
    i_0_4195 ).

cnf(c_0_4233,hypothesis,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    | ~ aElementOf0(X1,xQ) ),
    i_0_4191 ).

cnf(c_0_4234,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    i_0_14 ).

cnf(c_0_4235,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_4228,c_0_4229]) ).

cnf(c_0_4236,hypothesis,
    aSet0(xS),
    i_0_151 ).

cnf(c_0_4237,hypothesis,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)),
    i_0_4199 ).

cnf(c_0_4238,negated_conjecture,
    ( szmzizndt0(sdtlpdtrp0(xN,xi)) = esk33_0
    | aElementOf0(esk33_0,xQ) ),
    inference(spm,[status(thm)],[c_0_4230,c_0_4231]) ).

cnf(c_0_4239,hypothesis,
    ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | ~ aElementOf0(X1,xQ) ),
    inference(spm,[status(thm)],[c_0_4232,c_0_4233]) ).

cnf(c_0_4240,plain,
    ( aElementOf0(X1,xS)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4234,c_0_4235]),c_0_4236])]) ).

cnf(c_0_4241,hypothesis,
    aElementOf0(esk33_0,sdtlpdtrp0(xN,xi)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4237,c_0_4238]),c_0_4239]) ).

cnf(c_0_4242,hypothesis,
    aElementOf0(xi,szNzAzT0),
    i_0_4187 ).

cnf(c_0_4243,negated_conjecture,
    ~ aElementOf0(esk33_0,xS),
    i_0_4209 ).

cnf(c_0_4244,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4240,c_0_4241]),c_0_4242])]),c_0_4243]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM581+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Wed Jul  6 08:41:44 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 25.24/5.52  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 25.24/5.52  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 83; version: 991; iters: 150)
% 25.24/5.52  # Preprocessing time       : 1.861 s
% 25.24/5.52  
% 25.24/5.52  # Proof found!
% 25.24/5.52  # SZS status Theorem
% 25.24/5.52  # SZS output start CNFRefutation
% See solution above
% 25.24/5.52  # Training examples: 0 positive, 0 negative
% 25.24/5.52  
% 25.24/5.52  # -------------------------------------------------
% 25.24/5.52  # User time                : 1.780 s
% 25.24/5.52  # System time              : 0.133 s
% 25.24/5.52  # Total time               : 1.913 s
% 25.24/5.52  # ...preprocessing         : 1.861 s
% 25.24/5.52  # ...main loop             : 0.053 s
% 25.24/5.52  # Maximum resident set size: 182456 pages
% 25.24/5.52  
%------------------------------------------------------------------------------