TSTP Solution File: NUM584+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM584+1 : 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.DrhTeP8uxM true
% Computer : n008.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 12:42:32 EDT 2023
% Result : Theorem 2.37s 1.00s
% Output : Refutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 29
% Syntax : Number of formulae : 50 ( 17 unt; 20 typ; 0 def)
% Number of atoms : 67 ( 17 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 261 ( 32 ~; 23 |; 8 &; 192 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 9 con; 0-2 aty)
% Number of variables : 19 ( 0 ^; 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
thf(aFunction0_type,type,
aFunction0: $i > $o ).
thf(xi_type,type,
xi: $i ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(xN_type,type,
xN: $i ).
thf(xc_type,type,
xc: $i ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(xS_type,type,
xS: $i ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xT_type,type,
xT: $i ).
thf(xK_type,type,
xK: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(xQ_type,type,
xQ: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(sdtlcdtrc0_type,type,
sdtlcdtrc0: $i > $i > $i ).
thf(m__3453,axiom,
( ( aSubsetOf0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) @ xT )
& ( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ xK ) )
& ( aFunction0 @ xc ) ) ).
thf(zip_derived_cl150,plain,
( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ xK ) ),
inference(cnf,[status(esa)],[m__3453]) ).
thf(m__,conjecture,
aElementOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ ( slbdtsldtrb0 @ xS @ xK ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( aElementOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ ( slbdtsldtrb0 @ xS @ xK ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl173,plain,
~ ( aElementOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ ( slbdtsldtrb0 @ xS @ xK ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl150_001,plain,
( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ xK ) ),
inference(cnf,[status(esa)],[m__3453]) ).
thf(zip_derived_cl174,plain,
~ ( aElementOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ ( szDzozmdt0 @ xc ) ),
inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl150]) ).
thf(mDefSel,axiom,
! [W0: $i,W1: $i] :
( ( ( aSet0 @ W0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ! [W2: $i] :
( ( W2
= ( slbdtsldtrb0 @ W0 @ W1 ) )
<=> ( ( aSet0 @ W2 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ( ( aSubsetOf0 @ W3 @ W0 )
& ( ( sbrdtbr0 @ W3 )
= W1 ) ) ) ) ) ) ).
thf(zip_derived_cl103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ X2 @ X0 )
| ( ( sbrdtbr0 @ X2 )
!= X1 )
| ( aElementOf0 @ X2 @ X3 )
| ( X3
!= ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mDefSel]) ).
thf(zip_derived_cl1029,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ X0 )
| ( ( sbrdtbr0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
!= X1 )
| ( ( szDzozmdt0 @ xc )
!= ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl174,zip_derived_cl103]) ).
thf(m__4007,axiom,
( ( sbrdtbr0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
= xK ) ).
thf(zip_derived_cl171,plain,
( ( sbrdtbr0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
= xK ),
inference(cnf,[status(esa)],[m__4007]) ).
thf(zip_derived_cl1031,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ X0 )
| ( xK != X1 )
| ( ( szDzozmdt0 @ xc )
!= ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1029,zip_derived_cl171]) ).
thf(zip_derived_cl1032,plain,
! [X0: $i] :
( ( ( szDzozmdt0 @ xc )
!= ( slbdtsldtrb0 @ X0 @ xK ) )
| ~ ( aSubsetOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ X0 )
| ~ ( aElementOf0 @ xK @ szNzAzT0 )
| ~ ( aSet0 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1031]) ).
thf(m__3418,axiom,
aElementOf0 @ xK @ szNzAzT0 ).
thf(zip_derived_cl146,plain,
aElementOf0 @ xK @ szNzAzT0,
inference(cnf,[status(esa)],[m__3418]) ).
thf(zip_derived_cl1033,plain,
! [X0: $i] :
( ( ( szDzozmdt0 @ xc )
!= ( slbdtsldtrb0 @ X0 @ xK ) )
| ~ ( aSubsetOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl146]) ).
thf(zip_derived_cl1034,plain,
( ( ( szDzozmdt0 @ xc )
!= ( szDzozmdt0 @ xc ) )
| ~ ( aSubsetOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xS )
| ~ ( aSet0 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl1033]) ).
thf(m__4024,axiom,
aSubsetOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xS ).
thf(zip_derived_cl172,plain,
aSubsetOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xS,
inference(cnf,[status(esa)],[m__4024]) ).
thf(m__3435,axiom,
( ( isCountable0 @ xS )
& ( aSubsetOf0 @ xS @ szNzAzT0 ) ) ).
thf(zip_derived_cl148,plain,
aSubsetOf0 @ xS @ szNzAzT0,
inference(cnf,[status(esa)],[m__3435]) ).
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_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl235,plain,
( ( aSet0 @ xS )
| ~ ( aSet0 @ szNzAzT0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl14]) ).
thf(mNATSet,axiom,
( ( isCountable0 @ szNzAzT0 )
& ( aSet0 @ szNzAzT0 ) ) ).
thf(zip_derived_cl44,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl237,plain,
aSet0 @ xS,
inference(demod,[status(thm)],[zip_derived_cl235,zip_derived_cl44]) ).
thf(zip_derived_cl1035,plain,
( ( szDzozmdt0 @ xc )
!= ( szDzozmdt0 @ xc ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl172,zip_derived_cl237]) ).
thf(zip_derived_cl1036,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1035]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM584+1 : 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.DrhTeP8uxM true
% 0.14/0.35 % Computer : n008.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 16:31:33 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % 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
% 0.14/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 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
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 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/fo5.sh running for 50s
% 0.22/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.37/1.00 % Solved by fo/fo13.sh.
% 2.37/1.00 % done 231 iterations in 0.213s
% 2.37/1.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.37/1.00 % SZS output start Refutation
% See solution above
% 2.37/1.00
% 2.37/1.00
% 2.37/1.00 % Terminating...
% 2.96/1.06 % Runner terminated.
% 2.96/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------