TSTP Solution File: NUM558+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM558+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GLBKjY8clY true
% Computer : n018.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 : 300s
% DateTime : Thu Aug 31 12:42:21 EDT 2023
% Result : Theorem 1.43s 1.10s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 25
% Syntax : Number of formulae : 46 ( 13 unt; 17 typ; 0 def)
% Number of atoms : 108 ( 13 equ; 0 cnn)
% Maximal formula atoms : 43 ( 3 avg)
% Number of connectives : 316 ( 21 ~; 20 |; 37 &; 216 @)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 29 !; 1 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(xy_type,type,
xy: $i ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xQ_type,type,
xQ: $i ).
thf(xx_type,type,
xx: $i ).
thf(xk_type,type,
xk: $i ).
thf(xP_type,type,
xP: $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(xT_type,type,
xT: $i ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(slcrc0_type,type,
slcrc0: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xS_type,type,
xS: $i ).
thf(m__,conjecture,
aElementOf0 @ xx @ xT ).
thf(zf_stmt_0,negated_conjecture,
~ ( aElementOf0 @ xx @ xT ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl169,plain,
~ ( aElementOf0 @ xx @ xT ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__2357,axiom,
( ( xP
= ( sdtpldt0 @ ( sdtmndt0 @ xQ @ xy ) @ xx ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xP )
<=> ( ( aElement0 @ W0 )
& ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xQ @ xy ) )
| ( W0 = xx ) ) ) )
& ( aSet0 @ xP )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xQ @ xy ) )
<=> ( ( aElement0 @ W0 )
& ( aElementOf0 @ W0 @ xQ )
& ( W0 != xy ) ) )
& ( aSet0 @ ( sdtmndt0 @ xQ @ xy ) ) ) ).
thf(zip_derived_cl160,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xP )
| ( X0 != xx )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[m__2357]) ).
thf(zip_derived_cl1236,plain,
( ~ ( aElement0 @ xx )
| ( aElementOf0 @ xx @ xP ) ),
inference(eq_res,[status(thm)],[zip_derived_cl160]) ).
thf(m__2256,axiom,
aElementOf0 @ xx @ xS ).
thf(zip_derived_cl141,plain,
aElementOf0 @ xx @ xS,
inference(cnf,[status(esa)],[m__2256]) ).
thf(mEOfElem,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElement0 @ W1 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
thf(zip_derived_cl1195,plain,
( ( aElement0 @ xx )
| ~ ( aSet0 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl141,zip_derived_cl2]) ).
thf(m__2202_02,axiom,
( ( xk != sz00 )
& ( aSet0 @ xT )
& ( aSet0 @ xS ) ) ).
thf(zip_derived_cl113,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__2202_02]) ).
thf(zip_derived_cl1214,plain,
aElement0 @ xx,
inference(demod,[status(thm)],[zip_derived_cl1195,zip_derived_cl113]) ).
thf(zip_derived_cl1237,plain,
aElementOf0 @ xx @ xP,
inference(demod,[status(thm)],[zip_derived_cl1236,zip_derived_cl1214]) ).
thf(m__2378,axiom,
( ( aElementOf0 @ xP @ ( slbdtsldtrb0 @ xS @ xk ) )
& ( ( sbrdtbr0 @ xP )
= xk )
& ( aSubsetOf0 @ xP @ xS )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xP )
=> ( aElementOf0 @ W0 @ xS ) ) ) ).
thf(zip_derived_cl168,plain,
aElementOf0 @ xP @ ( slbdtsldtrb0 @ xS @ xk ),
inference(cnf,[status(esa)],[m__2378]) ).
thf(m__2227,axiom,
( ~ ( ! [W0: $i] :
( ( ( ( ( ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xS ) ) )
| ( aSubsetOf0 @ W0 @ xS ) )
& ( ( sbrdtbr0 @ W0 )
= xk ) )
=> ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) ) )
& ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) )
=> ( ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xS ) )
& ( aSubsetOf0 @ W0 @ xS )
& ( ( sbrdtbr0 @ W0 )
= xk ) ) ) )
=> ( ~ ? [W0: $i] : ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) )
| ( ( slbdtsldtrb0 @ xS @ xk )
= slcrc0 ) ) )
& ( aSubsetOf0 @ ( slbdtsldtrb0 @ xS @ xk ) @ ( slbdtsldtrb0 @ xT @ xk ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) )
=> ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xT @ xk ) ) )
& ! [W0: $i] :
( ( ( ( ( ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xT ) ) )
| ( aSubsetOf0 @ W0 @ xT ) )
& ( ( sbrdtbr0 @ W0 )
= xk ) )
=> ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xT @ xk ) ) )
& ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xT @ xk ) )
=> ( ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xT ) )
& ( aSubsetOf0 @ W0 @ xT )
& ( ( sbrdtbr0 @ W0 )
= xk ) ) ) )
& ( aSet0 @ ( slbdtsldtrb0 @ xT @ xk ) )
& ! [W0: $i] :
( ( ( ( ( ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xS ) ) )
| ( aSubsetOf0 @ W0 @ xS ) )
& ( ( sbrdtbr0 @ W0 )
= xk ) )
=> ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) ) )
& ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) )
=> ( ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xS ) )
& ( aSubsetOf0 @ W0 @ xS )
& ( ( sbrdtbr0 @ W0 )
= xk ) ) ) )
& ( aSet0 @ ( slbdtsldtrb0 @ xS @ xk ) ) ) ).
thf(zip_derived_cl130,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xT @ xk ) )
| ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xS @ xk ) ) ),
inference(cnf,[status(esa)],[m__2227]) ).
thf(zip_derived_cl128,plain,
! [X0: $i] :
( ( aSubsetOf0 @ X0 @ xT )
| ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xT @ xk ) ) ),
inference(cnf,[status(esa)],[m__2227]) ).
thf(zip_derived_cl1873,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xS @ xk ) )
| ( aSubsetOf0 @ X0 @ xT ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl128]) ).
thf(zip_derived_cl1933,plain,
aSubsetOf0 @ xP @ xT,
inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl1873]) ).
thf(mDefSub,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aSubsetOf0 @ W1 @ W0 )
<=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl2004,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xT )
| ~ ( aElementOf0 @ X0 @ xP )
| ~ ( aSet0 @ xT ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1933,zip_derived_cl13]) ).
thf(zip_derived_cl112,plain,
aSet0 @ xT,
inference(cnf,[status(esa)],[m__2202_02]) ).
thf(zip_derived_cl2009,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xT )
| ~ ( aElementOf0 @ X0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl2004,zip_derived_cl112]) ).
thf(zip_derived_cl2037,plain,
aElementOf0 @ xx @ xT,
inference('s_sup-',[status(thm)],[zip_derived_cl1237,zip_derived_cl2009]) ).
thf(zip_derived_cl2049,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl2037]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM558+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GLBKjY8clY true
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 18:01:44 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.22/0.63 % Total configuration time : 435
% 0.22/0.63 % Estimated wc time : 1092
% 0.22/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.36/0.91 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.43/1.10 % Solved by fo/fo6_bce.sh.
% 1.43/1.10 % BCE start: 170
% 1.43/1.10 % BCE eliminated: 1
% 1.43/1.10 % PE start: 169
% 1.43/1.10 logic: eq
% 1.43/1.10 % PE eliminated: 0
% 1.43/1.10 % done 283 iterations in 0.305s
% 1.43/1.10 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.43/1.10 % SZS output start Refutation
% See solution above
% 1.43/1.11
% 1.43/1.11
% 1.43/1.11 % Terminating...
% 1.89/1.20 % Runner terminated.
% 1.94/1.21 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------