TSTP Solution File: NUM595+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM595+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 08:37:44 EDT 2022

% Result   : Theorem 8.82s 2.46s
% Output   : CNFRefutation 8.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   49 (  18 unt;   2 nHn;  49 RR)
%            Number of literals    :  111 (  21 equ;  64 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  10 con; 0-2 aty)
%            Number of variables   :   47 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_106,plain,
    ( aSubsetOf0(X1,X2)
    | X3 != slbdtsldtrb0(X2,X4)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X4,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vu4wnvy/lgb.p',i_0_106) ).

cnf(i_0_107,plain,
    ( aSet0(X1)
    | X1 != slbdtsldtrb0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElementOf0(X3,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vu4wnvy/lgb.p',i_0_107) ).

cnf(i_0_195,hypothesis,
    slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk) = xX,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vu4wnvy/lgb.p',i_0_195) ).

cnf(i_0_160,hypothesis,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vu4wnvy/lgb.p',i_0_160) ).

cnf(i_0_15,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vu4wnvy/lgb.p',i_0_15) ).

cnf(i_0_167,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vu4wnvy/lgb.p',i_0_167) ).

cnf(i_0_45,plain,
    aSet0(szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vu4wnvy/lgb.p',i_0_45) ).

cnf(i_0_182,hypothesis,
    ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = esk24_1(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vu4wnvy/lgb.p',i_0_182) ).

cnf(i_0_193,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vu4wnvy/lgb.p',i_0_193) ).

cnf(i_0_187,hypothesis,
    ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xd,X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vu4wnvy/lgb.p',i_0_187) ).

cnf(i_0_192,hypothesis,
    sdtlpdtrp0(xd,xi) = xx,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vu4wnvy/lgb.p',i_0_192) ).

cnf(i_0_48,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vu4wnvy/lgb.p',i_0_48) ).

cnf(i_0_5,plain,
    ( X1 = slcrc0
    | aElementOf0(esk1_1(X1),X1)
    | ~ aSet0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vu4wnvy/lgb.p',i_0_5) ).

cnf(i_0_194,hypothesis,
    xX != slcrc0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vu4wnvy/lgb.p',i_0_194) ).

cnf(i_0_183,hypothesis,
    ( aElementOf0(esk24_1(X1),xT)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vu4wnvy/lgb.p',i_0_183) ).

cnf(i_0_196,negated_conjecture,
    ~ aElementOf0(xx,xT),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vu4wnvy/lgb.p',i_0_196) ).

cnf(c_0_213,plain,
    ( aSubsetOf0(X1,X2)
    | X3 != slbdtsldtrb0(X2,X4)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X4,szNzAzT0) ),
    i_0_106 ).

cnf(c_0_214,plain,
    ( aSet0(X1)
    | X1 != slbdtsldtrb0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElementOf0(X3,szNzAzT0) ),
    i_0_107 ).

cnf(c_0_215,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
    | ~ aElementOf0(X3,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_213]) ).

cnf(c_0_216,hypothesis,
    slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk) = xX,
    i_0_195 ).

cnf(c_0_217,hypothesis,
    aElementOf0(xk,szNzAzT0),
    i_0_160 ).

cnf(c_0_218,plain,
    ( aSet0(slbdtsldtrb0(X1,X2))
    | ~ aSet0(X1)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_214]) ).

cnf(c_0_219,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    i_0_15 ).

cnf(c_0_220,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_167 ).

cnf(c_0_221,plain,
    aSet0(szNzAzT0),
    i_0_45 ).

cnf(c_0_222,hypothesis,
    ( aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
    | ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
    | ~ aElementOf0(X1,xX) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_217])]) ).

cnf(c_0_223,hypothesis,
    ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = esk24_1(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ),
    i_0_182 ).

cnf(c_0_224,hypothesis,
    aElementOf0(xi,szNzAzT0),
    i_0_193 ).

cnf(c_0_225,hypothesis,
    ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xd,X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ),
    i_0_187 ).

cnf(c_0_226,hypothesis,
    sdtlpdtrp0(xd,xi) = xx,
    i_0_192 ).

cnf(c_0_227,hypothesis,
    ( aSet0(xX)
    | ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_216]),c_0_217])]) ).

cnf(c_0_228,plain,
    ( aSet0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221])]) ).

cnf(c_0_229,plain,
    ( aSet0(X1)
    | ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
    | ~ aElementOf0(X1,xX) ),
    inference(spm,[status(thm)],[c_0_219,c_0_222]) ).

cnf(c_0_230,hypothesis,
    ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = esk24_1(xi)
    | ~ aSet0(X1)
    | ~ aElementOf0(X1,xX) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_216]),c_0_224])]) ).

cnf(c_0_231,hypothesis,
    ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx
    | ~ aSet0(X1)
    | ~ aElementOf0(X1,xX) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_216]),c_0_226]),c_0_224])]) ).

cnf(c_0_232,hypothesis,
    ( aSet0(xX)
    | ~ aElementOf0(szszuzczcdt0(xi),szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_227,c_0_228]) ).

cnf(c_0_233,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_48 ).

cnf(c_0_234,plain,
    ( aSet0(X1)
    | ~ aElementOf0(szszuzczcdt0(xi),szNzAzT0)
    | ~ aElementOf0(X1,xX) ),
    inference(spm,[status(thm)],[c_0_229,c_0_228]) ).

cnf(c_0_235,hypothesis,
    ( esk24_1(xi) = xx
    | ~ aSet0(X1)
    | ~ aElementOf0(X1,xX) ),
    inference(spm,[status(thm)],[c_0_230,c_0_231]) ).

cnf(c_0_236,plain,
    ( X1 = slcrc0
    | aElementOf0(esk1_1(X1),X1)
    | ~ aSet0(X1) ),
    i_0_5 ).

cnf(c_0_237,plain,
    aSet0(xX),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_224])]) ).

cnf(c_0_238,hypothesis,
    xX != slcrc0,
    i_0_194 ).

cnf(c_0_239,plain,
    ( aSet0(X1)
    | ~ aElementOf0(X1,xX) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_233]),c_0_224])]) ).

cnf(c_0_240,plain,
    ( esk24_1(xi) = xx
    | ~ aSet0(esk1_1(xX)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237])]),c_0_238]) ).

cnf(c_0_241,plain,
    aSet0(esk1_1(xX)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_236]),c_0_237])]),c_0_238]) ).

cnf(c_0_242,hypothesis,
    ( aElementOf0(esk24_1(X1),xT)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_183 ).

cnf(c_0_243,plain,
    esk24_1(xi) = xx,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_241])]) ).

cnf(c_0_244,negated_conjecture,
    ~ aElementOf0(xx,xT),
    i_0_196 ).

cnf(c_0_245,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_224])]),c_0_244]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : NUM595+1 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.10/0.30  % Computer : n011.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Thu Jul  7 23:45:26 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.15/0.41  # ENIGMATIC: Selected complete mode:
% 8.82/2.46  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.82/2.46  # No SInE strategy applied
% 8.82/2.46  # Trying AutoSched0 for 150 seconds
% 8.82/2.46  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 8.82/2.46  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.82/2.46  #
% 8.82/2.46  # Preprocessing time       : 0.025 s
% 8.82/2.46  
% 8.82/2.46  # Proof found!
% 8.82/2.46  # SZS status Theorem
% 8.82/2.46  # SZS output start CNFRefutation
% See solution above
% 8.82/2.46  # Training examples: 0 positive, 0 negative
% 8.82/2.46  
% 8.82/2.46  # -------------------------------------------------
% 8.82/2.46  # User time                : 0.101 s
% 8.82/2.46  # System time              : 0.008 s
% 8.82/2.46  # Total time               : 0.109 s
% 8.82/2.46  # Maximum resident set size: 7128 pages
% 8.82/2.46  
%------------------------------------------------------------------------------