TSTP Solution File: NUM577+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM577+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 08:37:33 EDT 2022

% Result   : Timeout 287.73s 38.83s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   45 (  15 unt;   4 nHn;  45 RR)
%            Number of literals    :  107 (  12 equ;  62 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   43 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4150,hypothesis,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m9hxvehq/input.p',i_0_4150) ).

cnf(i_0_4177,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m9hxvehq/input.p',i_0_4177) ).

cnf(i_0_4176,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m9hxvehq/input.p',i_0_4176) ).

cnf(i_0_4181,hypothesis,
    ( aElementOf0(X1,sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(X2,X3)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X3,szNzAzT0)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m9hxvehq/input.p',i_0_4181) ).

cnf(i_0_4197,negated_conjecture,
    ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
    | aElementOf0(esk32_0,sdtlpdtrp0(xN,xm)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m9hxvehq/input.p',i_0_4197) ).

cnf(i_0_4185,hypothesis,
    aElementOf0(xm,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m9hxvehq/input.p',i_0_4185) ).

cnf(i_0_48,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m9hxvehq/input.p',i_0_48) ).

cnf(i_0_4186,hypothesis,
    aElementOf0(xn,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m9hxvehq/input.p',i_0_4186) ).

cnf(i_0_4142,hypothesis,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ isCountable0(sdtlpdtrp0(xN,X2))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m9hxvehq/input.p',i_0_4142) ).

cnf(i_0_4237,negated_conjecture,
    sdtlseqdt0(szszuzczcdt0(xn),xm),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m9hxvehq/input.p',i_0_4237) ).

cnf(i_0_4192,negated_conjecture,
    ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
    | ~ aElementOf0(esk32_0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m9hxvehq/input.p',i_0_4192) ).

cnf(i_0_34,plain,
    ( X1 != X2
    | X3 != sdtmndt0(X4,X2)
    | ~ aSet0(X4)
    | ~ aElement0(X2)
    | ~ aElementOf0(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m9hxvehq/input.p',i_0_34) ).

cnf(i_0_4179,hypothesis,
    ( aSet0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m9hxvehq/input.p',i_0_4179) ).

cnf(i_0_3,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m9hxvehq/input.p',i_0_3) ).

cnf(c_0_4252,hypothesis,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
    i_0_4150 ).

cnf(c_0_4253,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_4177 ).

cnf(c_0_4254,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_4176 ).

cnf(c_0_4255,hypothesis,
    ( aElementOf0(X1,sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(X2,X3)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X3,szNzAzT0)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,X3)) ),
    i_0_4181 ).

cnf(c_0_4256,negated_conjecture,
    ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
    | aElementOf0(esk32_0,sdtlpdtrp0(xN,xm)) ),
    i_0_4197 ).

cnf(c_0_4257,hypothesis,
    aElementOf0(xm,szNzAzT0),
    i_0_4185 ).

cnf(c_0_4258,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_48 ).

cnf(c_0_4259,hypothesis,
    aElementOf0(xn,szNzAzT0),
    i_0_4186 ).

cnf(c_0_4260,hypothesis,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_4252,c_0_4253]),c_0_4254]) ).

cnf(c_0_4261,hypothesis,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ isCountable0(sdtlpdtrp0(xN,X2))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2))) ),
    i_0_4142 ).

cnf(c_0_4262,negated_conjecture,
    ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
    | aElementOf0(esk32_0,sdtlpdtrp0(xN,X1))
    | ~ sdtlseqdt0(X1,xm)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4255,c_0_4256]),c_0_4257])]) ).

cnf(c_0_4263,negated_conjecture,
    sdtlseqdt0(szszuzczcdt0(xn),xm),
    i_0_4237 ).

cnf(c_0_4264,hypothesis,
    aElementOf0(szszuzczcdt0(xn),szNzAzT0),
    inference(spm,[status(thm)],[c_0_4258,c_0_4259]) ).

cnf(c_0_4265,hypothesis,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
    inference(spm,[status(thm)],[c_0_4260,c_0_4257]) ).

cnf(c_0_4266,hypothesis,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2)))
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_4261,c_0_4253]),c_0_4254]) ).

cnf(c_0_4267,negated_conjecture,
    ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
    | aElementOf0(esk32_0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4262,c_0_4263]),c_0_4264])]) ).

cnf(c_0_4268,negated_conjecture,
    ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
    | ~ aElementOf0(esk32_0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
    i_0_4192 ).

cnf(c_0_4269,hypothesis,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,X1))
    | ~ sdtlseqdt0(X1,xm)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4255,c_0_4265]),c_0_4257])]) ).

cnf(c_0_4270,hypothesis,
    szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4266,c_0_4267]),c_0_4259])]),c_0_4268]) ).

cnf(c_0_4271,plain,
    ( X1 != X2
    | X3 != sdtmndt0(X4,X2)
    | ~ aSet0(X4)
    | ~ aElement0(X2)
    | ~ aElementOf0(X1,X3) ),
    i_0_34 ).

cnf(c_0_4272,hypothesis,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,X1))
    | ~ sdtlseqdt0(X1,xm)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(rw,[status(thm)],[c_0_4269,c_0_4270]) ).

cnf(c_0_4273,hypothesis,
    ( aSet0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_4179 ).

cnf(c_0_4274,plain,
    ( X1 != sdtmndt0(X2,X3)
    | ~ aElement0(X3)
    | ~ aElementOf0(X3,X1)
    | ~ aSet0(X2) ),
    inference(er,[status(thm)],[c_0_4271]) ).

cnf(c_0_4275,negated_conjecture,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4272,c_0_4263]),c_0_4264])]) ).

cnf(c_0_4276,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_3 ).

cnf(c_0_4277,hypothesis,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)),
    inference(spm,[status(thm)],[c_0_4260,c_0_4259]) ).

cnf(c_0_4278,hypothesis,
    aSet0(sdtlpdtrp0(xN,xn)),
    inference(spm,[status(thm)],[c_0_4273,c_0_4259]) ).

cnf(c_0_4279,plain,
    ( ~ aElement0(X1)
    | ~ aElementOf0(X1,sdtmndt0(X2,X1))
    | ~ aSet0(X2) ),
    inference(er,[status(thm)],[c_0_4274]) ).

cnf(c_0_4280,hypothesis,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4266,c_0_4275]),c_0_4259])]) ).

cnf(c_0_4281,plain,
    aElement0(szmzizndt0(sdtlpdtrp0(xN,xn))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4276,c_0_4277]),c_0_4278])]) ).

cnf(c_0_4282,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4279,c_0_4280]),c_0_4281]),c_0_4278])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM577+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n020.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 : Thu Jul  7 17:44:00 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 287.73/38.83  # ENIGMATIC: Solved by paramils045:
% 287.73/38.83  # Preprocessing time       : 0.331 s
% 287.73/38.83  
% 287.73/38.83  # Proof found!
% 287.73/38.83  # SZS status Theorem
% 287.73/38.83  # SZS output start CNFRefutation
% See solution above
% 287.73/38.83  # Training examples: 0 positive, 0 negative
% 287.73/38.83  
% 287.73/38.83  # -------------------------------------------------
% 287.73/38.83  # User time                : 8.503 s
% 287.73/38.83  # System time              : 0.061 s
% 287.73/38.83  # Total time               : 8.564 s
% 287.73/38.83  # ...preprocessing         : 0.331 s
% 287.73/38.83  # ...main loop             : 8.233 s
% 287.73/38.83  # Maximum resident set size: 75596 pages
% 287.73/38.83  
%------------------------------------------------------------------------------