TSTP Solution File: NUM609+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM609+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n003.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 08:37:52 EDT 2022

% Result   : Theorem 7.90s 2.42s
% Output   : CNFRefutation 7.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   31 (  18 unt;   2 nHn;  31 RR)
%            Number of literals    :   65 (   7 equ;  34 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   29 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_35,plain,
    ( aElementOf0(X1,X2)
    | X3 != sdtmndt0(X2,X4)
    | ~ aSet0(X2)
    | ~ aElement0(X4)
    | ~ aElementOf0(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z3adz6vt/lgb.p',i_0_35) ).

cnf(i_0_207,hypothesis,
    sdtmndt0(xQ,szmzizndt0(xQ)) = xP,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z3adz6vt/lgb.p',i_0_207) ).

cnf(i_0_206,hypothesis,
    szmzizndt0(xQ) = xp,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z3adz6vt/lgb.p',i_0_206) ).

cnf(i_0_3,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z3adz6vt/lgb.p',i_0_3) ).

cnf(i_0_210,hypothesis,
    aElementOf0(xp,xO),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z3adz6vt/lgb.p',i_0_210) ).

cnf(i_0_196,hypothesis,
    aSet0(xO),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z3adz6vt/lgb.p',i_0_196) ).

cnf(i_0_15,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z3adz6vt/lgb.p',i_0_15) ).

cnf(i_0_203,hypothesis,
    aSubsetOf0(xQ,xO),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z3adz6vt/lgb.p',i_0_203) ).

cnf(i_0_12,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(esk2_2(X2,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z3adz6vt/lgb.p',i_0_12) ).

cnf(i_0_13,plain,
    ( aSubsetOf0(X1,X2)
    | aElementOf0(esk2_2(X2,X1),X1)
    | ~ aSet0(X1)
    | ~ aSet0(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z3adz6vt/lgb.p',i_0_13) ).

cnf(i_0_208,hypothesis,
    aSet0(xP),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z3adz6vt/lgb.p',i_0_208) ).

cnf(i_0_211,negated_conjecture,
    ~ aSubsetOf0(xP,xQ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z3adz6vt/lgb.p',i_0_211) ).

cnf(c_0_224,plain,
    ( aElementOf0(X1,X2)
    | X3 != sdtmndt0(X2,X4)
    | ~ aSet0(X2)
    | ~ aElement0(X4)
    | ~ aElementOf0(X1,X3) ),
    i_0_35 ).

cnf(c_0_225,hypothesis,
    sdtmndt0(xQ,szmzizndt0(xQ)) = xP,
    i_0_207 ).

cnf(c_0_226,hypothesis,
    szmzizndt0(xQ) = xp,
    i_0_206 ).

cnf(c_0_227,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_3 ).

cnf(c_0_228,hypothesis,
    aElementOf0(xp,xO),
    i_0_210 ).

cnf(c_0_229,hypothesis,
    aSet0(xO),
    i_0_196 ).

cnf(c_0_230,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    i_0_15 ).

cnf(c_0_231,hypothesis,
    aSubsetOf0(xQ,xO),
    i_0_203 ).

cnf(c_0_232,plain,
    ( aElementOf0(X1,X2)
    | ~ aElement0(X3)
    | ~ aElementOf0(X1,sdtmndt0(X2,X3))
    | ~ aSet0(X2) ),
    inference(er,[status(thm)],[c_0_224]) ).

cnf(c_0_233,hypothesis,
    sdtmndt0(xQ,xp) = xP,
    inference(rw,[status(thm)],[c_0_225,c_0_226]) ).

cnf(c_0_234,hypothesis,
    aElement0(xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_229])]) ).

cnf(c_0_235,hypothesis,
    aSet0(xQ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_229])]) ).

cnf(c_0_236,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(esk2_2(X2,X1),X2) ),
    i_0_12 ).

cnf(c_0_237,hypothesis,
    ( aElementOf0(X1,xQ)
    | ~ aElementOf0(X1,xP) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]),c_0_235])]) ).

cnf(c_0_238,plain,
    ( aSubsetOf0(X1,xQ)
    | ~ aElementOf0(esk2_2(xQ,X1),xP)
    | ~ aSet0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_235])]) ).

cnf(c_0_239,plain,
    ( aSubsetOf0(X1,X2)
    | aElementOf0(esk2_2(X2,X1),X1)
    | ~ aSet0(X1)
    | ~ aSet0(X2) ),
    i_0_13 ).

cnf(c_0_240,hypothesis,
    aSet0(xP),
    i_0_208 ).

cnf(c_0_241,negated_conjecture,
    ~ aSubsetOf0(xP,xQ),
    i_0_211 ).

cnf(c_0_242,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_240]),c_0_235])]),c_0_241]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM609+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n003.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 : Fri Jul  8 01:15:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected complete mode:
% 7.90/2.42  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.90/2.42  # No SInE strategy applied
% 7.90/2.42  # Trying AutoSched0 for 150 seconds
% 7.90/2.42  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 7.90/2.42  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.90/2.42  #
% 7.90/2.42  # Preprocessing time       : 0.026 s
% 7.90/2.42  
% 7.90/2.42  # Proof found!
% 7.90/2.42  # SZS status Theorem
% 7.90/2.42  # SZS output start CNFRefutation
% See solution above
% 7.90/2.42  # Training examples: 0 positive, 0 negative
% 7.90/2.42  
% 7.90/2.42  # -------------------------------------------------
% 7.90/2.42  # User time                : 0.038 s
% 7.90/2.42  # System time              : 0.008 s
% 7.90/2.42  # Total time               : 0.046 s
% 7.90/2.42  # Maximum resident set size: 7124 pages
% 7.90/2.42  
%------------------------------------------------------------------------------