TSTP Solution File: NUM543+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM543+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 08:37:10 EDT 2022

% Result   : Theorem 15.56s 3.22s
% Output   : CNFRefutation 15.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   35 (   9 unt;   5 nHn;  35 RR)
%            Number of literals    :   91 (  16 equ;  59 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-1 aty)
%            Number of variables   :   42 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_105,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(X2))
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pgs5a3su/input.p',i_0_105) ).

cnf(i_0_57,plain,
    ( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pgs5a3su/input.p',i_0_57) ).

cnf(i_0_48,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pgs5a3su/input.p',i_0_48) ).

cnf(i_0_100,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,xS) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pgs5a3su/input.p',i_0_100) ).

cnf(i_0_104,negated_conjecture,
    ( aElementOf0(esk10_1(X1),xS)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pgs5a3su/input.p',i_0_104) ).

cnf(i_0_81,plain,
    ( X1 = slcrc0
    | sdtlseqdt0(X2,X3)
    | X3 != szmzazxdt0(X1)
    | ~ isFinite0(X1)
    | ~ aElementOf0(X2,X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pgs5a3su/input.p',i_0_81) ).

cnf(i_0_6,plain,
    ( X1 != slcrc0
    | ~ aElementOf0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pgs5a3su/input.p',i_0_6) ).

cnf(i_0_103,negated_conjecture,
    ( ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(esk10_1(X1),slbdtrb0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pgs5a3su/input.p',i_0_103) ).

cnf(i_0_99,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pgs5a3su/input.p',i_0_99) ).

cnf(i_0_98,hypothesis,
    isFinite0(xS),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pgs5a3su/input.p',i_0_98) ).

cnf(i_0_82,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | X2 != szmzazxdt0(X1)
    | ~ isFinite0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pgs5a3su/input.p',i_0_82) ).

cnf(i_0_46,plain,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pgs5a3su/input.p',i_0_46) ).

cnf(c_0_118,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(X2))
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),X2) ),
    i_0_105 ).

cnf(c_0_119,plain,
    ( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_57 ).

cnf(c_0_120,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_48 ).

cnf(c_0_121,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,xS) ),
    i_0_100 ).

cnf(c_0_122,negated_conjecture,
    ( aElementOf0(esk10_1(X1),xS)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_104 ).

cnf(c_0_123,plain,
    ( X1 = slcrc0
    | sdtlseqdt0(X2,X3)
    | X3 != szmzazxdt0(X1)
    | ~ isFinite0(X1)
    | ~ aElementOf0(X2,X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    i_0_81 ).

cnf(c_0_124,plain,
    ( X1 != slcrc0
    | ~ aElementOf0(X2,X1) ),
    i_0_6 ).

cnf(c_0_125,negated_conjecture,
    ( ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(esk10_1(X1),slbdtrb0(X1)) ),
    i_0_103 ).

cnf(c_0_126,plain,
    ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).

cnf(c_0_127,hypothesis,
    ( aElementOf0(esk10_1(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_128,plain,
    ( sdtlseqdt0(X1,X2)
    | X2 != szmzazxdt0(X3)
    | ~ aSubsetOf0(X3,szNzAzT0)
    | ~ aElementOf0(X1,X3)
    | ~ isFinite0(X3) ),
    inference(csr,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_129,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    i_0_99 ).

cnf(c_0_130,hypothesis,
    isFinite0(xS),
    i_0_98 ).

cnf(c_0_131,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | X2 != szmzazxdt0(X1)
    | ~ isFinite0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    i_0_82 ).

cnf(c_0_132,plain,
    ( xS != slcrc0
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_122]) ).

cnf(c_0_133,plain,
    aElementOf0(sz00,szNzAzT0),
    i_0_46 ).

cnf(c_0_134,negated_conjecture,
    ( ~ sdtlseqdt0(esk10_1(szszuzczcdt0(X1)),X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]),c_0_120]) ).

cnf(c_0_135,negated_conjecture,
    ( sdtlseqdt0(esk10_1(X1),X2)
    | X2 != szmzazxdt0(xS)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_122]),c_0_129]),c_0_130])]) ).

cnf(c_0_136,plain,
    ( X1 = slcrc0
    | aElementOf0(szmzazxdt0(X1),X1)
    | ~ aSubsetOf0(X1,szNzAzT0)
    | ~ isFinite0(X1) ),
    inference(er,[status(thm)],[c_0_131]) ).

cnf(c_0_137,plain,
    xS != slcrc0,
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_138,negated_conjecture,
    ( X1 != szmzazxdt0(xS)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_120]) ).

cnf(c_0_139,hypothesis,
    aElementOf0(szmzazxdt0(xS),szNzAzT0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_136]),c_0_129]),c_0_130])]),c_0_137]) ).

cnf(c_0_140,hypothesis,
    $false,
    inference(spm,[status(thm)],[c_0_138,c_0_139]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM543+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.32  % Computer : n028.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 600
% 0.13/0.32  % DateTime : Thu Jul  7 08:02:10 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 15.56/3.22  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 15.56/3.22  # 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: 61; version: 991; iters: 150)
% 15.56/3.22  # Preprocessing time       : 0.861 s
% 15.56/3.22  
% 15.56/3.22  # Proof found!
% 15.56/3.22  # SZS status Theorem
% 15.56/3.22  # SZS output start CNFRefutation
% See solution above
% 15.56/3.22  # Training examples: 0 positive, 0 negative
% 15.56/3.22  
% 15.56/3.22  # -------------------------------------------------
% 15.56/3.22  # User time                : 0.842 s
% 15.56/3.22  # System time              : 0.114 s
% 15.56/3.22  # Total time               : 0.955 s
% 15.56/3.22  # ...preprocessing         : 0.861 s
% 15.56/3.22  # ...main loop             : 0.094 s
% 15.56/3.22  # Maximum resident set size: 169096 pages
% 15.56/3.22  
%------------------------------------------------------------------------------