TSTP Solution File: NUM625+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM625+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n016.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 08:38:03 EDT 2022

% Result   : Theorem 6.69s 2.21s
% Output   : CNFRefutation 6.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   26 (  19 unt;   0 nHn;  26 RR)
%            Number of literals    :   44 (  12 equ;  22 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    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_206,hypothesis,
    szmzizndt0(xQ) = xp,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-swgw2s4r/lgb.p',i_0_206) ).

cnf(i_0_229,hypothesis,
    xx = xp,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-swgw2s4r/lgb.p',i_0_229) ).

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-swgw2s4r/lgb.p',i_0_34) ).

cnf(i_0_207,hypothesis,
    sdtmndt0(xQ,szmzizndt0(xQ)) = xP,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-swgw2s4r/lgb.p',i_0_207) ).

cnf(i_0_15,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-swgw2s4r/lgb.p',i_0_15) ).

cnf(i_0_203,hypothesis,
    aSubsetOf0(xQ,xO),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-swgw2s4r/lgb.p',i_0_203) ).

cnf(i_0_196,hypothesis,
    aSet0(xO),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-swgw2s4r/lgb.p',i_0_196) ).

cnf(i_0_219,hypothesis,
    aElementOf0(xx,xP),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-swgw2s4r/lgb.p',i_0_219) ).

cnf(i_0_3,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-swgw2s4r/lgb.p',i_0_3) ).

cnf(i_0_220,hypothesis,
    aElementOf0(xx,xO),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-swgw2s4r/lgb.p',i_0_220) ).

cnf(c_0_240,hypothesis,
    szmzizndt0(xQ) = xp,
    i_0_206 ).

cnf(c_0_241,hypothesis,
    xx = xp,
    i_0_229 ).

cnf(c_0_242,plain,
    ( X1 != X2
    | X3 != sdtmndt0(X4,X2)
    | ~ aSet0(X4)
    | ~ aElement0(X2)
    | ~ aElementOf0(X1,X3) ),
    i_0_34 ).

cnf(c_0_243,hypothesis,
    sdtmndt0(xQ,szmzizndt0(xQ)) = xP,
    i_0_207 ).

cnf(c_0_244,hypothesis,
    szmzizndt0(xQ) = xx,
    inference(rw,[status(thm)],[c_0_240,c_0_241]) ).

cnf(c_0_245,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    i_0_15 ).

cnf(c_0_246,hypothesis,
    aSubsetOf0(xQ,xO),
    i_0_203 ).

cnf(c_0_247,hypothesis,
    aSet0(xO),
    i_0_196 ).

cnf(c_0_248,plain,
    ( ~ aElementOf0(X1,sdtmndt0(X2,X1))
    | ~ aElement0(X1)
    | ~ aSet0(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_242])]) ).

cnf(c_0_249,hypothesis,
    sdtmndt0(xQ,xx) = xP,
    inference(rw,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_250,hypothesis,
    aElementOf0(xx,xP),
    i_0_219 ).

cnf(c_0_251,hypothesis,
    aSet0(xQ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247])]) ).

cnf(c_0_252,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_3 ).

cnf(c_0_253,hypothesis,
    aElementOf0(xx,xO),
    i_0_220 ).

cnf(c_0_254,hypothesis,
    ~ aElement0(xx),
    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_255,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_247])]),c_0_254]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUM625+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n016.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Wed Jul  6 00:57:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected complete mode:
% 6.69/2.21  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.69/2.21  # No SInE strategy applied
% 6.69/2.21  # Trying AutoSched0 for 150 seconds
% 6.69/2.21  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 6.69/2.21  # and selection function SelectNewComplexAHP.
% 6.69/2.21  #
% 6.69/2.21  # Preprocessing time       : 0.013 s
% 6.69/2.21  # Presaturation interreduction done
% 6.69/2.21  
% 6.69/2.21  # Proof found!
% 6.69/2.21  # SZS status Theorem
% 6.69/2.21  # SZS output start CNFRefutation
% See solution above
% 6.69/2.21  # Training examples: 0 positive, 0 negative
% 6.69/2.21  
% 6.69/2.21  # -------------------------------------------------
% 6.69/2.21  # User time                : 0.020 s
% 6.69/2.21  # System time              : 0.002 s
% 6.69/2.21  # Total time               : 0.022 s
% 6.69/2.21  # Maximum resident set size: 7128 pages
% 6.69/2.21  
%------------------------------------------------------------------------------