TSTP Solution File: NUM580+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM580+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 23.80s 5.20s
% Output   : CNFRefutation 23.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   40 (  18 unt;   2 nHn;  40 RR)
%            Number of literals    :   76 (  15 equ;  42 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_65,plain,
    ( aElement0(sbrdtbr0(X1))
    | ~ aSet0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8q7e9t9/input.p',i_0_65) ).

cnf(i_0_100,plain,
    ( sbrdtbr0(slbdtrb0(X1)) = X1
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8q7e9t9/input.p',i_0_100) ).

cnf(i_0_90,plain,
    ( aSet0(X1)
    | X1 != slbdtrb0(X2)
    | ~ aElementOf0(X2,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8q7e9t9/input.p',i_0_90) ).

cnf(i_0_4194,hypothesis,
    ( X1 != szmzizndt0(sdtlpdtrp0(xN,xi))
    | ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8q7e9t9/input.p',i_0_4194) ).

cnf(i_0_4191,hypothesis,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    | ~ aElementOf0(X1,xQ) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8q7e9t9/input.p',i_0_4191) ).

cnf(i_0_4200,negated_conjecture,
    sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) != xK,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8q7e9t9/input.p',i_0_4200) ).

cnf(i_0_70,plain,
    ( sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
    | aElementOf0(X2,X1)
    | ~ aSet0(X1)
    | ~ aElement0(X2)
    | ~ isFinite0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8q7e9t9/input.p',i_0_70) ).

cnf(i_0_4189,hypothesis,
    sbrdtbr0(xQ) = xk,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8q7e9t9/input.p',i_0_4189) ).

cnf(i_0_4138,hypothesis,
    szszuzczcdt0(xk) = xK,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8q7e9t9/input.p',i_0_4138) ).

cnf(i_0_4192,hypothesis,
    aSet0(xQ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8q7e9t9/input.p',i_0_4192) ).

cnf(i_0_4178,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8q7e9t9/input.p',i_0_4178) ).

cnf(i_0_4199,hypothesis,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8q7e9t9/input.p',i_0_4199) ).

cnf(i_0_4187,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8q7e9t9/input.p',i_0_4187) ).

cnf(i_0_67,plain,
    ( isFinite0(X1)
    | ~ aSet0(X1)
    | ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8q7e9t9/input.p',i_0_67) ).

cnf(i_0_4139,hypothesis,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8q7e9t9/input.p',i_0_4139) ).

cnf(c_0_4216,plain,
    ( aElement0(sbrdtbr0(X1))
    | ~ aSet0(X1) ),
    i_0_65 ).

cnf(c_0_4217,plain,
    ( sbrdtbr0(slbdtrb0(X1)) = X1
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_100 ).

cnf(c_0_4218,plain,
    ( aSet0(X1)
    | X1 != slbdtrb0(X2)
    | ~ aElementOf0(X2,szNzAzT0) ),
    i_0_90 ).

cnf(c_0_4219,hypothesis,
    ( X1 != szmzizndt0(sdtlpdtrp0(xN,xi))
    | ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
    i_0_4194 ).

cnf(c_0_4220,hypothesis,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    | ~ aElementOf0(X1,xQ) ),
    i_0_4191 ).

cnf(c_0_4221,negated_conjecture,
    sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) != xK,
    i_0_4200 ).

cnf(c_0_4222,plain,
    ( sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
    | aElementOf0(X2,X1)
    | ~ aSet0(X1)
    | ~ aElement0(X2)
    | ~ isFinite0(X1) ),
    i_0_70 ).

cnf(c_0_4223,hypothesis,
    sbrdtbr0(xQ) = xk,
    i_0_4189 ).

cnf(c_0_4224,hypothesis,
    szszuzczcdt0(xk) = xK,
    i_0_4138 ).

cnf(c_0_4225,hypothesis,
    aSet0(xQ),
    i_0_4192 ).

cnf(c_0_4226,plain,
    ( aElement0(X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aSet0(slbdtrb0(X1)) ),
    inference(spm,[status(thm)],[c_0_4216,c_0_4217]) ).

cnf(c_0_4227,plain,
    ( aSet0(slbdtrb0(X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_4218]) ).

cnf(c_0_4228,hypothesis,
    ( X1 != szmzizndt0(sdtlpdtrp0(xN,xi))
    | ~ aElementOf0(X1,xQ) ),
    inference(spm,[status(thm)],[c_0_4219,c_0_4220]) ).

cnf(c_0_4229,plain,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ)
    | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | ~ isFinite0(xQ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4221,c_0_4222]),c_0_4223]),c_0_4224])]),c_0_4225])]) ).

cnf(c_0_4230,plain,
    ( aElement0(X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_4226,c_0_4227]) ).

cnf(c_0_4231,hypothesis,
    ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ),
    inference(er,[status(thm)],[c_0_4228]) ).

cnf(c_0_4232,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,X2)) ),
    i_0_4178 ).

cnf(c_0_4233,hypothesis,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)),
    i_0_4199 ).

cnf(c_0_4234,hypothesis,
    aElementOf0(xi,szNzAzT0),
    i_0_4187 ).

cnf(c_0_4235,plain,
    ( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),szNzAzT0)
    | ~ isFinite0(xQ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4229,c_0_4230]),c_0_4231]) ).

cnf(c_0_4236,hypothesis,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),szNzAzT0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4232,c_0_4233]),c_0_4234])]) ).

cnf(c_0_4237,plain,
    ~ isFinite0(xQ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4235,c_0_4236])]) ).

cnf(c_0_4238,plain,
    ( isFinite0(X1)
    | ~ aSet0(X1)
    | ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
    i_0_67 ).

cnf(c_0_4239,hypothesis,
    aElementOf0(xk,szNzAzT0),
    i_0_4139 ).

cnf(c_0_4240,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4237,c_0_4238]),c_0_4223]),c_0_4239]),c_0_4225])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM580+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n029.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 : Wed Jul  6 15:43:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected complete mode:
% 23.80/5.20  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 23.80/5.20  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 77; version: 991; iters: 150)
% 23.80/5.20  # Preprocessing time       : 1.802 s
% 23.80/5.20  
% 23.80/5.20  # Proof found!
% 23.80/5.20  # SZS status Theorem
% 23.80/5.20  # SZS output start CNFRefutation
% See solution above
% 23.80/5.20  # Training examples: 0 positive, 0 negative
% 23.80/5.20  
% 23.80/5.20  # -------------------------------------------------
% 23.80/5.20  # User time                : 1.753 s
% 23.80/5.20  # System time              : 0.131 s
% 23.80/5.20  # Total time               : 1.884 s
% 23.80/5.20  # ...preprocessing         : 1.802 s
% 23.80/5.20  # ...main loop             : 0.083 s
% 23.80/5.20  # Maximum resident set size: 182368 pages
% 23.80/5.20  
%------------------------------------------------------------------------------