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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM611+1 : 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 08:37:54 EDT 2022

% Result   : Theorem 7.70s 2.27s
% Output   : CNFRefutation 7.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   24
% Syntax   : Number of clauses     :   65 (  38 unt;   2 nHn;  65 RR)
%            Number of literals    :  134 (  35 equ;  73 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :   51 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_207,hypothesis,
    sdtmndt0(xQ,szmzizndt0(xQ)) = xP,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_207) ).

cnf(i_0_206,hypothesis,
    szmzizndt0(xQ) = xp,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_206) ).

cnf(i_0_15,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_15) ).

cnf(i_0_204,hypothesis,
    aSubsetOf0(xQ,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_204) ).

cnf(i_0_45,plain,
    aSet0(szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_45) ).

cnf(i_0_34,plain,
    ( X1 != X2
    | X3 != sdtmndt0(X4,X2)
    | ~ aSet0(X4)
    | ~ aElement0(X2)
    | ~ aElementOf0(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_34) ).

cnf(i_0_3,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_3) ).

cnf(i_0_210,hypothesis,
    aElementOf0(xp,xO),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_210) ).

cnf(i_0_196,hypothesis,
    aSet0(xO),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_196) ).

cnf(i_0_105,plain,
    ( sbrdtbr0(X1) = X2
    | X3 != slbdtsldtrb0(X4,X2)
    | ~ aSet0(X4)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X2,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_105) ).

cnf(i_0_38,plain,
    ( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
    | ~ aSet0(X1)
    | ~ aElementOf0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_38) ).

cnf(i_0_209,hypothesis,
    aElementOf0(xp,xQ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_209) ).

cnf(i_0_201,hypothesis,
    aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_201) ).

cnf(i_0_147,hypothesis,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_147) ).

cnf(i_0_70,plain,
    ( sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
    | aElementOf0(X2,X1)
    | ~ aSet0(X1)
    | ~ aElement0(X2)
    | ~ isFinite0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_70) ).

cnf(i_0_208,hypothesis,
    aSet0(xP),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_208) ).

cnf(i_0_16,plain,
    ( isFinite0(X1)
    | ~ aSet0(X2)
    | ~ isFinite0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_16) ).

cnf(i_0_211,hypothesis,
    aSubsetOf0(xP,xQ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_211) ).

cnf(i_0_67,plain,
    ( isFinite0(X1)
    | ~ aSet0(X1)
    | ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_67) ).

cnf(i_0_49,plain,
    ( X1 = X2
    | szszuzczcdt0(X1) != szszuzczcdt0(X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_49) ).

cnf(i_0_160,hypothesis,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_160) ).

cnf(i_0_159,hypothesis,
    szszuzczcdt0(xk) = xK,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_159) ).

cnf(i_0_66,plain,
    ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
    | ~ aSet0(X1)
    | ~ isFinite0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_66) ).

cnf(i_0_213,negated_conjecture,
    sbrdtbr0(xP) != xk,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g6hwesd/lgb.p',i_0_213) ).

cnf(c_0_238,hypothesis,
    sdtmndt0(xQ,szmzizndt0(xQ)) = xP,
    i_0_207 ).

cnf(c_0_239,hypothesis,
    szmzizndt0(xQ) = xp,
    i_0_206 ).

cnf(c_0_240,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    i_0_15 ).

cnf(c_0_241,hypothesis,
    aSubsetOf0(xQ,szNzAzT0),
    i_0_204 ).

cnf(c_0_242,plain,
    aSet0(szNzAzT0),
    i_0_45 ).

cnf(c_0_243,plain,
    ( X1 != X2
    | X3 != sdtmndt0(X4,X2)
    | ~ aSet0(X4)
    | ~ aElement0(X2)
    | ~ aElementOf0(X1,X3) ),
    i_0_34 ).

cnf(c_0_244,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_3 ).

cnf(c_0_245,hypothesis,
    aElementOf0(xp,xO),
    i_0_210 ).

cnf(c_0_246,hypothesis,
    aSet0(xO),
    i_0_196 ).

cnf(c_0_247,plain,
    ( sbrdtbr0(X1) = X2
    | X3 != slbdtsldtrb0(X4,X2)
    | ~ aSet0(X4)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X2,szNzAzT0) ),
    i_0_105 ).

cnf(c_0_248,plain,
    ( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
    | ~ aSet0(X1)
    | ~ aElementOf0(X2,X1) ),
    i_0_38 ).

cnf(c_0_249,hypothesis,
    sdtmndt0(xQ,xp) = xP,
    inference(rw,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_250,hypothesis,
    aElementOf0(xp,xQ),
    i_0_209 ).

cnf(c_0_251,hypothesis,
    aSet0(xQ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242])]) ).

cnf(c_0_252,plain,
    ( ~ aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,sdtmndt0(X2,X1)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_243])]) ).

cnf(c_0_253,hypothesis,
    aElement0(xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_246])]) ).

cnf(c_0_254,plain,
    ( sbrdtbr0(X1) = X2
    | ~ aSet0(X3)
    | ~ aElementOf0(X1,slbdtsldtrb0(X3,X2))
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_247]) ).

cnf(c_0_255,hypothesis,
    aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
    i_0_201 ).

cnf(c_0_256,hypothesis,
    aElementOf0(xK,szNzAzT0),
    i_0_147 ).

cnf(c_0_257,plain,
    ( sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
    | aElementOf0(X2,X1)
    | ~ aSet0(X1)
    | ~ aElement0(X2)
    | ~ isFinite0(X1) ),
    i_0_70 ).

cnf(c_0_258,hypothesis,
    sdtpldt0(xP,xp) = xQ,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_250])]),c_0_251])]) ).

cnf(c_0_259,hypothesis,
    aSet0(xP),
    i_0_208 ).

cnf(c_0_260,hypothesis,
    ~ aElementOf0(xp,xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_249]),c_0_253]),c_0_251])]) ).

cnf(c_0_261,plain,
    ( isFinite0(X1)
    | ~ aSet0(X2)
    | ~ isFinite0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    i_0_16 ).

cnf(c_0_262,hypothesis,
    aSubsetOf0(xP,xQ),
    i_0_211 ).

cnf(c_0_263,plain,
    ( isFinite0(X1)
    | ~ aSet0(X1)
    | ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
    i_0_67 ).

cnf(c_0_264,hypothesis,
    sbrdtbr0(xQ) = xK,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_246]),c_0_256])]) ).

cnf(c_0_265,plain,
    ( X1 = X2
    | szszuzczcdt0(X1) != szszuzczcdt0(X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_49 ).

cnf(c_0_266,hypothesis,
    aElementOf0(xk,szNzAzT0),
    i_0_160 ).

cnf(c_0_267,hypothesis,
    szszuzczcdt0(xk) = xK,
    i_0_159 ).

cnf(c_0_268,plain,
    ( szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)
    | ~ isFinite0(xP) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_253]),c_0_259])]),c_0_260]) ).

cnf(c_0_269,hypothesis,
    ( isFinite0(xP)
    | ~ isFinite0(xQ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_251])]) ).

cnf(c_0_270,plain,
    isFinite0(xQ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_251]),c_0_256])]) ).

cnf(c_0_271,hypothesis,
    ( X1 = xk
    | szszuzczcdt0(X1) != xK
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_267]) ).

cnf(c_0_272,plain,
    ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
    | ~ aSet0(X1)
    | ~ isFinite0(X1) ),
    i_0_66 ).

cnf(c_0_273,plain,
    ( szszuzczcdt0(sbrdtbr0(xP)) = xK
    | ~ isFinite0(xP) ),
    inference(rw,[status(thm)],[c_0_268,c_0_264]) ).

cnf(c_0_274,hypothesis,
    isFinite0(xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_270])]) ).

cnf(c_0_275,plain,
    ( sbrdtbr0(X1) = xk
    | szszuzczcdt0(sbrdtbr0(X1)) != xK
    | ~ isFinite0(X1)
    | ~ aSet0(X1) ),
    inference(spm,[status(thm)],[c_0_271,c_0_272]) ).

cnf(c_0_276,plain,
    szszuzczcdt0(sbrdtbr0(xP)) = xK,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_274])]) ).

cnf(c_0_277,negated_conjecture,
    sbrdtbr0(xP) != xk,
    i_0_213 ).

cnf(c_0_278,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_274]),c_0_259])]),c_0_277]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM611+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul  5 09:48:29 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.70/2.27  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.70/2.27  # No SInE strategy applied
% 7.70/2.27  # Trying AutoSched0 for 150 seconds
% 7.70/2.27  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 7.70/2.27  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.70/2.27  #
% 7.70/2.27  # Preprocessing time       : 0.027 s
% 7.70/2.27  
% 7.70/2.27  # Proof found!
% 7.70/2.27  # SZS status Theorem
% 7.70/2.27  # SZS output start CNFRefutation
% See solution above
% 7.70/2.27  # Training examples: 0 positive, 0 negative
% 7.70/2.27  
% 7.70/2.27  # -------------------------------------------------
% 7.70/2.27  # User time                : 0.058 s
% 7.70/2.27  # System time              : 0.008 s
% 7.70/2.27  # Total time               : 0.066 s
% 7.70/2.27  # Maximum resident set size: 7124 pages
% 7.70/2.27  
%------------------------------------------------------------------------------