TSTP Solution File: NUM558+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM558+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 08:37:20 EDT 2022

% Result   : Theorem 8.57s 2.34s
% Output   : CNFRefutation 8.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   47 (  25 unt;   0 nHn;  47 RR)
%            Number of literals    :  104 (  12 equ;  59 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   53 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_107,plain,
    ( aSet0(X1)
    | X1 != slbdtsldtrb0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElementOf0(X3,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_823_s6w/lgb.p',i_0_107) ).

cnf(i_0_14,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_823_s6w/lgb.p',i_0_14) ).

cnf(i_0_116,hypothesis,
    aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_823_s6w/lgb.p',i_0_116) ).

cnf(i_0_111,hypothesis,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_823_s6w/lgb.p',i_0_111) ).

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-_823_s6w/lgb.p',i_0_106) ).

cnf(i_0_113,hypothesis,
    aSet0(xT),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_823_s6w/lgb.p',i_0_113) ).

cnf(i_0_127,hypothesis,
    aElementOf0(xP,slbdtsldtrb0(xS,xk)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_823_s6w/lgb.p',i_0_127) ).

cnf(i_0_24,plain,
    ( aElementOf0(X1,X2)
    | X1 != X3
    | X2 != sdtpldt0(X4,X3)
    | ~ aSet0(X4)
    | ~ aElement0(X3)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_823_s6w/lgb.p',i_0_24) ).

cnf(i_0_3,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_823_s6w/lgb.p',i_0_3) ).

cnf(i_0_117,hypothesis,
    aElementOf0(xx,xS),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_823_s6w/lgb.p',i_0_117) ).

cnf(i_0_114,hypothesis,
    aSet0(xS),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_823_s6w/lgb.p',i_0_114) ).

cnf(i_0_126,hypothesis,
    sdtpldt0(sdtmndt0(xQ,xy),xx) = xP,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_823_s6w/lgb.p',i_0_126) ).

cnf(i_0_37,plain,
    ( aSet0(X1)
    | X1 != sdtmndt0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElement0(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_823_s6w/lgb.p',i_0_37) ).

cnf(i_0_123,hypothesis,
    aElement0(xy),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_823_s6w/lgb.p',i_0_123) ).

cnf(i_0_121,hypothesis,
    aSet0(xQ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_823_s6w/lgb.p',i_0_121) ).

cnf(i_0_128,negated_conjecture,
    ~ aElementOf0(xx,xT),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_823_s6w/lgb.p',i_0_128) ).

cnf(c_0_145,plain,
    ( aSet0(X1)
    | X1 != slbdtsldtrb0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElementOf0(X3,szNzAzT0) ),
    i_0_107 ).

cnf(c_0_146,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    i_0_14 ).

cnf(c_0_147,hypothesis,
    aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
    i_0_116 ).

cnf(c_0_148,plain,
    ( aSet0(slbdtsldtrb0(X1,X2))
    | ~ aSet0(X1)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_145]) ).

cnf(c_0_149,hypothesis,
    aElementOf0(xk,szNzAzT0),
    i_0_111 ).

cnf(c_0_150,plain,
    ( aSubsetOf0(X1,X2)
    | X3 != slbdtsldtrb0(X2,X4)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X4,szNzAzT0) ),
    i_0_106 ).

cnf(c_0_151,hypothesis,
    ( aElementOf0(X1,slbdtsldtrb0(xT,xk))
    | ~ aSet0(slbdtsldtrb0(xT,xk))
    | ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_152,hypothesis,
    ( aSet0(slbdtsldtrb0(X1,xk))
    | ~ aSet0(X1) ),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_153,hypothesis,
    aSet0(xT),
    i_0_113 ).

cnf(c_0_154,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
    | ~ aElementOf0(X3,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_150]) ).

cnf(c_0_155,hypothesis,
    ( aElementOf0(X1,slbdtsldtrb0(xT,xk))
    | ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153])]) ).

cnf(c_0_156,hypothesis,
    aElementOf0(xP,slbdtsldtrb0(xS,xk)),
    i_0_127 ).

cnf(c_0_157,plain,
    ( aElementOf0(X1,X2)
    | X1 != X3
    | X2 != sdtpldt0(X4,X3)
    | ~ aSet0(X4)
    | ~ aElement0(X3)
    | ~ aElement0(X1) ),
    i_0_24 ).

cnf(c_0_158,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_3 ).

cnf(c_0_159,hypothesis,
    aElementOf0(xx,xS),
    i_0_117 ).

cnf(c_0_160,hypothesis,
    aSet0(xS),
    i_0_114 ).

cnf(c_0_161,hypothesis,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,slbdtsldtrb0(X2,xk)) ),
    inference(spm,[status(thm)],[c_0_154,c_0_149]) ).

cnf(c_0_162,hypothesis,
    aElementOf0(xP,slbdtsldtrb0(xT,xk)),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_163,plain,
    ( aElementOf0(X1,sdtpldt0(X2,X1))
    | ~ aElement0(X1)
    | ~ aSet0(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_157])]) ).

cnf(c_0_164,hypothesis,
    sdtpldt0(sdtmndt0(xQ,xy),xx) = xP,
    i_0_126 ).

cnf(c_0_165,hypothesis,
    aElement0(xx),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160])]) ).

cnf(c_0_166,plain,
    ( aSet0(X1)
    | X1 != sdtmndt0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElement0(X3) ),
    i_0_37 ).

cnf(c_0_167,hypothesis,
    aSubsetOf0(xP,xT),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_153])]) ).

cnf(c_0_168,hypothesis,
    ( aElementOf0(xx,xP)
    | ~ aSet0(sdtmndt0(xQ,xy)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165])]) ).

cnf(c_0_169,plain,
    ( aSet0(sdtmndt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aSet0(X1) ),
    inference(er,[status(thm)],[c_0_166]) ).

cnf(c_0_170,hypothesis,
    aElement0(xy),
    i_0_123 ).

cnf(c_0_171,hypothesis,
    aSet0(xQ),
    i_0_121 ).

cnf(c_0_172,plain,
    ( aElementOf0(X1,xT)
    | ~ aElementOf0(X1,xP) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_167]),c_0_153])]) ).

cnf(c_0_173,plain,
    aElementOf0(xx,xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]),c_0_171])]) ).

cnf(c_0_174,negated_conjecture,
    ~ aElementOf0(xx,xT),
    i_0_128 ).

cnf(c_0_175,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : NUM558+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n016.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Tue Jul  5 12:26:05 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected complete mode:
% 8.57/2.34  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.57/2.34  # No SInE strategy applied
% 8.57/2.34  # Trying AutoSched0 for 150 seconds
% 8.57/2.34  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.57/2.34  # and selection function SelectNewComplexAHP.
% 8.57/2.34  #
% 8.57/2.34  # Preprocessing time       : 0.018 s
% 8.57/2.34  # Presaturation interreduction done
% 8.57/2.34  
% 8.57/2.34  # Proof found!
% 8.57/2.34  # SZS status Theorem
% 8.57/2.34  # SZS output start CNFRefutation
% See solution above
% 8.57/2.34  # Training examples: 0 positive, 0 negative
% 8.57/2.34  
% 8.57/2.34  # -------------------------------------------------
% 8.57/2.34  # User time                : 0.047 s
% 8.57/2.34  # System time              : 0.010 s
% 8.57/2.34  # Total time               : 0.057 s
% 8.57/2.34  # Maximum resident set size: 7128 pages
% 8.57/2.34  
%------------------------------------------------------------------------------