TSTP Solution File: NUM574+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM574+1 : 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 08:37:30 EDT 2022

% Result   : Theorem 7.91s 2.31s
% Output   : CNFRefutation 7.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   38 (  20 unt;   4 nHn;  38 RR)
%            Number of literals    :   73 (  19 equ;  36 neg)
%            Maximal clause size   :    5 (   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   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_171,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    | szszuzczcdt0(X1) != xi
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(xj,xi) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2x76dkib/lgb.p',i_0_171) ).

cnf(i_0_173,negated_conjecture,
    sdtlseqdt0(xj,xi),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2x76dkib/lgb.p',i_0_173) ).

cnf(i_0_172,negated_conjecture,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2x76dkib/lgb.p',i_0_172) ).

cnf(i_0_51,plain,
    ( X1 = sz00
    | aElementOf0(esk5_1(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2x76dkib/lgb.p',i_0_51) ).

cnf(i_0_60,plain,
    ( X1 = X2
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2x76dkib/lgb.p',i_0_60) ).

cnf(i_0_169,hypothesis,
    aElementOf0(xj,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2x76dkib/lgb.p',i_0_169) ).

cnf(i_0_168,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2x76dkib/lgb.p',i_0_168) ).

cnf(i_0_50,plain,
    ( X1 = sz00
    | szszuzczcdt0(esk5_1(X1)) = X1
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2x76dkib/lgb.p',i_0_50) ).

cnf(i_0_163,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2x76dkib/lgb.p',i_0_163) ).

cnf(i_0_54,plain,
    ( sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2x76dkib/lgb.p',i_0_54) ).

cnf(i_0_15,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2x76dkib/lgb.p',i_0_15) ).

cnf(i_0_149,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2x76dkib/lgb.p',i_0_149) ).

cnf(i_0_45,plain,
    aSet0(szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2x76dkib/lgb.p',i_0_45) ).

cnf(i_0_17,plain,
    ( aSubsetOf0(X1,X1)
    | ~ aSet0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2x76dkib/lgb.p',i_0_17) ).

cnf(c_0_188,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    | szszuzczcdt0(X1) != xi
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(xj,xi) ),
    i_0_171 ).

cnf(c_0_189,negated_conjecture,
    sdtlseqdt0(xj,xi),
    i_0_173 ).

cnf(c_0_190,negated_conjecture,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
    i_0_172 ).

cnf(c_0_191,hypothesis,
    ( szszuzczcdt0(X1) != xi
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_189])]),c_0_190]) ).

cnf(c_0_192,plain,
    ( X1 = sz00
    | aElementOf0(esk5_1(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_51 ).

cnf(c_0_193,plain,
    ( X1 = X2
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_60 ).

cnf(c_0_194,hypothesis,
    aElementOf0(xj,szNzAzT0),
    i_0_169 ).

cnf(c_0_195,hypothesis,
    aElementOf0(xi,szNzAzT0),
    i_0_168 ).

cnf(c_0_196,hypothesis,
    ( X1 = sz00
    | szszuzczcdt0(esk5_1(X1)) != xi
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_197,plain,
    ( X1 = sz00
    | szszuzczcdt0(esk5_1(X1)) = X1
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_50 ).

cnf(c_0_198,negated_conjecture,
    ( xj = xi
    | ~ sdtlseqdt0(xi,xj) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_189]),c_0_194]),c_0_195])]) ).

cnf(c_0_199,plain,
    xi = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197])]),c_0_195])]) ).

cnf(c_0_200,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    i_0_163 ).

cnf(c_0_201,negated_conjecture,
    ( xj = sz00
    | ~ sdtlseqdt0(sz00,xj) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_199]),c_0_199]) ).

cnf(c_0_202,plain,
    ( sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_54 ).

cnf(c_0_203,negated_conjecture,
    ~ aSubsetOf0(xS,sdtlpdtrp0(xN,xj)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_199]),c_0_200]) ).

cnf(c_0_204,plain,
    xj = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_194])]) ).

cnf(c_0_205,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    i_0_15 ).

cnf(c_0_206,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    i_0_149 ).

cnf(c_0_207,plain,
    aSet0(szNzAzT0),
    i_0_45 ).

cnf(c_0_208,negated_conjecture,
    ~ aSubsetOf0(xS,xS),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_204]),c_0_200]) ).

cnf(c_0_209,plain,
    ( aSubsetOf0(X1,X1)
    | ~ aSet0(X1) ),
    i_0_17 ).

cnf(c_0_210,hypothesis,
    aSet0(xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207])]) ).

cnf(c_0_211,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_210])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM574+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jul  7 07:34:25 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 7.91/2.31  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.91/2.31  # No SInE strategy applied
% 7.91/2.31  # Trying AutoSched0 for 150 seconds
% 7.91/2.31  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 7.91/2.31  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.91/2.31  #
% 7.91/2.31  # Preprocessing time       : 0.025 s
% 7.91/2.31  
% 7.91/2.31  # Proof found!
% 7.91/2.31  # SZS status Theorem
% 7.91/2.31  # SZS output start CNFRefutation
% See solution above
% 7.91/2.31  # Training examples: 0 positive, 0 negative
% 7.91/2.31  
% 7.91/2.31  # -------------------------------------------------
% 7.91/2.31  # User time                : 0.038 s
% 7.91/2.31  # System time              : 0.007 s
% 7.91/2.31  # Total time               : 0.045 s
% 7.91/2.31  # Maximum resident set size: 7128 pages
% 7.91/2.31  
%------------------------------------------------------------------------------