TSTP Solution File: NUM611+3 by Enigma---0.5.1

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM611+3 : 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 08:37:54 EDT 2022

% Result   : Theorem 9.38s 3.57s
% Output   : CNFRefutation 9.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   49 (  31 unt;   2 nHn;  49 RR)
%            Number of literals    :   90 (  26 equ;  45 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4265,hypothesis,
    sdtmndt0(xQ,szmzizndt0(xQ)) = xP,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-umo_wecy/lgb.p',i_0_4265) ).

cnf(i_0_4262,hypothesis,
    szmzizndt0(xQ) = xp,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-umo_wecy/lgb.p',i_0_4262) ).

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

cnf(i_0_4272,hypothesis,
    aElementOf0(xp,xQ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-umo_wecy/lgb.p',i_0_4272) ).

cnf(i_0_4251,hypothesis,
    aSet0(xQ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-umo_wecy/lgb.p',i_0_4251) ).

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

cnf(i_0_4267,hypothesis,
    ( X1 != szmzizndt0(xQ)
    | ~ aElementOf0(X1,xP) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-umo_wecy/lgb.p',i_0_4267) ).

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

cnf(i_0_4248,hypothesis,
    sbrdtbr0(xQ) = xK,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-umo_wecy/lgb.p',i_0_4248) ).

cnf(i_0_147,hypothesis,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-umo_wecy/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-umo_wecy/lgb.p',i_0_70) ).

cnf(i_0_4271,hypothesis,
    aSet0(xP),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-umo_wecy/lgb.p',i_0_4271) ).

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

cnf(i_0_4275,hypothesis,
    aSubsetOf0(xP,xQ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-umo_wecy/lgb.p',i_0_4275) ).

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-umo_wecy/lgb.p',i_0_49) ).

cnf(i_0_4139,hypothesis,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-umo_wecy/lgb.p',i_0_4139) ).

cnf(i_0_4138,hypothesis,
    szszuzczcdt0(xk) = xK,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-umo_wecy/lgb.p',i_0_4138) ).

cnf(i_0_4279,negated_conjecture,
    sbrdtbr0(xP) != xk,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-umo_wecy/lgb.p',i_0_4279) ).

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

cnf(c_0_4299,hypothesis,
    sdtmndt0(xQ,szmzizndt0(xQ)) = xP,
    i_0_4265 ).

cnf(c_0_4300,hypothesis,
    szmzizndt0(xQ) = xp,
    i_0_4262 ).

cnf(c_0_4301,plain,
    ( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
    | ~ aSet0(X1)
    | ~ aElementOf0(X2,X1) ),
    i_0_38 ).

cnf(c_0_4302,hypothesis,
    aElementOf0(xp,xQ),
    i_0_4272 ).

cnf(c_0_4303,hypothesis,
    sdtmndt0(xQ,xp) = xP,
    inference(rw,[status(thm)],[c_0_4299,c_0_4300]) ).

cnf(c_0_4304,hypothesis,
    aSet0(xQ),
    i_0_4251 ).

cnf(c_0_4305,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_3 ).

cnf(c_0_4306,hypothesis,
    ( X1 != szmzizndt0(xQ)
    | ~ aElementOf0(X1,xP) ),
    i_0_4267 ).

cnf(c_0_4307,plain,
    ( isFinite0(X1)
    | ~ aSet0(X1)
    | ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
    i_0_67 ).

cnf(c_0_4308,hypothesis,
    sbrdtbr0(xQ) = xK,
    i_0_4248 ).

cnf(c_0_4309,hypothesis,
    aElementOf0(xK,szNzAzT0),
    i_0_147 ).

cnf(c_0_4310,plain,
    ( sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
    | aElementOf0(X2,X1)
    | ~ aSet0(X1)
    | ~ aElement0(X2)
    | ~ isFinite0(X1) ),
    i_0_70 ).

cnf(c_0_4311,hypothesis,
    sdtpldt0(xP,xp) = xQ,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4301,c_0_4302]),c_0_4303]),c_0_4304])]) ).

cnf(c_0_4312,hypothesis,
    aElement0(xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4305,c_0_4302]),c_0_4304])]) ).

cnf(c_0_4313,hypothesis,
    aSet0(xP),
    i_0_4271 ).

cnf(c_0_4314,hypothesis,
    ~ aElementOf0(xp,xP),
    inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_4306,c_0_4300])]) ).

cnf(c_0_4315,plain,
    ( isFinite0(X1)
    | ~ aSet0(X2)
    | ~ isFinite0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    i_0_16 ).

cnf(c_0_4316,hypothesis,
    aSubsetOf0(xP,xQ),
    i_0_4275 ).

cnf(c_0_4317,hypothesis,
    isFinite0(xQ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4307,c_0_4308]),c_0_4304]),c_0_4309])]) ).

cnf(c_0_4318,plain,
    ( X1 = X2
    | szszuzczcdt0(X1) != szszuzczcdt0(X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_49 ).

cnf(c_0_4319,hypothesis,
    aElementOf0(xk,szNzAzT0),
    i_0_4139 ).

cnf(c_0_4320,hypothesis,
    szszuzczcdt0(xk) = xK,
    i_0_4138 ).

cnf(c_0_4321,plain,
    ( szszuzczcdt0(sbrdtbr0(xP)) = xK
    | ~ isFinite0(xP) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4310,c_0_4311]),c_0_4308]),c_0_4312]),c_0_4313])]),c_0_4314]) ).

cnf(c_0_4322,hypothesis,
    isFinite0(xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4315,c_0_4316]),c_0_4304])]),c_0_4317])]) ).

cnf(c_0_4323,hypothesis,
    ( X1 = xk
    | szszuzczcdt0(X1) != xK
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4318,c_0_4319]),c_0_4320]) ).

cnf(c_0_4324,plain,
    szszuzczcdt0(sbrdtbr0(xP)) = xK,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4321,c_0_4322])]) ).

cnf(c_0_4325,negated_conjecture,
    sbrdtbr0(xP) != xk,
    i_0_4279 ).

cnf(c_0_4326,plain,
    ~ aElementOf0(sbrdtbr0(xP),szNzAzT0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4323,c_0_4324]),c_0_4325]) ).

cnf(c_0_4327,plain,
    ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
    | ~ aSet0(X1)
    | ~ isFinite0(X1) ),
    i_0_66 ).

cnf(c_0_4328,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4326,c_0_4327]),c_0_4322]),c_0_4313])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NUM611+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n011.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 : Wed Jul  6 19:23:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 9.38/3.57  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.38/3.57  # No SInE strategy applied
% 9.38/3.57  # Trying AutoSched0 for 150 seconds
% 9.38/3.57  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 9.38/3.57  # and selection function SelectNewComplexAHP.
% 9.38/3.57  #
% 9.38/3.57  # Preprocessing time       : 0.027 s
% 9.38/3.57  # Presaturation interreduction done
% 9.38/3.57  
% 9.38/3.57  # Proof found!
% 9.38/3.57  # SZS status Theorem
% 9.38/3.57  # SZS output start CNFRefutation
% See solution above
% 9.38/3.57  # Training examples: 0 positive, 0 negative
% 9.38/3.57  
% 9.38/3.57  # -------------------------------------------------
% 9.38/3.57  # User time                : 0.057 s
% 9.38/3.57  # System time              : 0.006 s
% 9.38/3.57  # Total time               : 0.063 s
% 9.38/3.57  # Maximum resident set size: 7132 pages
% 9.38/3.57  
%------------------------------------------------------------------------------