TSTP Solution File: NUM576+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM576+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 08:37:32 EDT 2022

% Result   : Theorem 8.31s 2.55s
% Output   : CNFRefutation 8.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (  13 unt;   4 nHn;  19 RR)
%            Number of literals    :   37 (   4 equ;  21 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_62,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(szszuzczcdt0(X2),X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l5b_zof1/input.p',i_0_62) ).

cnf(i_0_169,hypothesis,
    aElementOf0(xj,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l5b_zof1/input.p',i_0_169) ).

cnf(i_0_170,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l5b_zof1/input.p',i_0_170) ).

cnf(i_0_172,negated_conjecture,
    ~ sdtlseqdt0(szszuzczcdt0(xj),xi),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l5b_zof1/input.p',i_0_172) ).

cnf(i_0_60,plain,
    ( X1 = X2
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l5b_zof1/input.p',i_0_60) ).

cnf(i_0_173,negated_conjecture,
    xj != xi,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l5b_zof1/input.p',i_0_173) ).

cnf(i_0_171,negated_conjecture,
    ~ sdtlseqdt0(szszuzczcdt0(xi),xj),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l5b_zof1/input.p',i_0_171) ).

cnf(c_0_181,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(szszuzczcdt0(X2),X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_62 ).

cnf(c_0_182,hypothesis,
    aElementOf0(xj,szNzAzT0),
    i_0_169 ).

cnf(c_0_183,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(xj),X1)
    | sdtlseqdt0(X1,xj)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_184,hypothesis,
    aElementOf0(xi,szNzAzT0),
    i_0_170 ).

cnf(c_0_185,negated_conjecture,
    ~ sdtlseqdt0(szszuzczcdt0(xj),xi),
    i_0_172 ).

cnf(c_0_186,plain,
    ( X1 = X2
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_60 ).

cnf(c_0_187,hypothesis,
    sdtlseqdt0(xi,xj),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]) ).

cnf(c_0_188,negated_conjecture,
    xj != xi,
    i_0_173 ).

cnf(c_0_189,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(xi),X1)
    | sdtlseqdt0(X1,xi)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_181,c_0_184]) ).

cnf(c_0_190,negated_conjecture,
    ~ sdtlseqdt0(szszuzczcdt0(xi),xj),
    i_0_171 ).

cnf(c_0_191,plain,
    ~ sdtlseqdt0(xj,xi),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_184]),c_0_182])]),c_0_188]) ).

cnf(c_0_192,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_182]),c_0_190]),c_0_191]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM576+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n008.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 20:18:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.31/2.55  # ENIGMATIC: Solved by autoschedule:
% 8.31/2.55  # No SInE strategy applied
% 8.31/2.55  # Trying AutoSched0 for 150 seconds
% 8.31/2.55  # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S0Y
% 8.31/2.55  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.31/2.55  #
% 8.31/2.55  # Preprocessing time       : 0.026 s
% 8.31/2.55  # Presaturation interreduction done
% 8.31/2.55  
% 8.31/2.55  # Proof found!
% 8.31/2.55  # SZS status Theorem
% 8.31/2.55  # SZS output start CNFRefutation
% See solution above
% 8.31/2.55  # Training examples: 0 positive, 0 negative
% 8.31/2.55  
% 8.31/2.55  # -------------------------------------------------
% 8.31/2.55  # User time                : 0.051 s
% 8.31/2.55  # System time              : 0.007 s
% 8.31/2.55  # Total time               : 0.058 s
% 8.31/2.55  # Maximum resident set size: 7120 pages
% 8.31/2.55  
%------------------------------------------------------------------------------