TSTP Solution File: NUM566+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM566+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.z2A9vaUvk9 true
% Computer : n028.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 12:42:25 EDT 2023
% Result : Theorem 0.55s 0.96s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 29
% Syntax : Number of formulae : 72 ( 20 unt; 18 typ; 0 def)
% Number of atoms : 125 ( 20 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 426 ( 60 ~; 50 |; 12 &; 295 @)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 45 ( 0 ^; 41 !; 4 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
thf(aFunction0_type,type,
aFunction0: $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(xc_type,type,
xc: $i ).
thf(xS_type,type,
xS: $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(isFinite0_type,type,
isFinite0: $i > $o ).
thf(slcrc0_type,type,
slcrc0: $i ).
thf(xT_type,type,
xT: $i ).
thf(xK_type,type,
xK: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(sk__18_type,type,
sk__18: $i > $i > $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(sdtlcdtrc0_type,type,
sdtlcdtrc0: $i > $i > $i ).
thf(mSubRefl,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ( aSubsetOf0 @ W0 @ W0 ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( aSubsetOf0 @ X0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mSubRefl]) ).
thf(m__3453,axiom,
( ( aSubsetOf0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) @ xT )
& ( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ xK ) )
& ( aFunction0 @ xc ) ) ).
thf(zip_derived_cl132,plain,
aSubsetOf0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) @ xT,
inference(cnf,[status(esa)],[m__3453]) ).
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_cl1201,plain,
! [X0: $i] :
( ~ ( aSet0 @ xT )
| ~ ( aElementOf0 @ X0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) )
| ( aElementOf0 @ X0 @ xT ) ),
inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl13]) ).
thf(m__3291,axiom,
( ( isFinite0 @ xT )
& ( aSet0 @ xT ) ) ).
thf(zip_derived_cl128,plain,
aSet0 @ xT,
inference(cnf,[status(esa)],[m__3291]) ).
thf(zip_derived_cl1204,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) )
| ( aElementOf0 @ X0 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl1201,zip_derived_cl128]) ).
thf(zip_derived_cl134,plain,
aFunction0 @ xc,
inference(cnf,[status(esa)],[m__3453]) ).
thf(mImgRng,axiom,
! [W0: $i] :
( ( aFunction0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( szDzozmdt0 @ W0 ) )
=> ( aElementOf0 @ ( sdtlpdtrp0 @ W0 @ W1 ) @ ( sdtlcdtrc0 @ W0 @ ( szDzozmdt0 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl120,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ X1 ) )
| ( aElementOf0 @ ( sdtlpdtrp0 @ X1 @ X0 ) @ ( sdtlcdtrc0 @ X1 @ ( szDzozmdt0 @ X1 ) ) )
| ~ ( aFunction0 @ X1 ) ),
inference(cnf,[status(esa)],[mImgRng]) ).
thf(zip_derived_cl1078,plain,
! [X0: $i] :
( ( aElementOf0 @ ( sdtlpdtrp0 @ xc @ X0 ) @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) )
| ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl134,zip_derived_cl120]) ).
thf(zip_derived_cl2179,plain,
! [X0: $i] :
( ( aElementOf0 @ ( sdtlpdtrp0 @ xc @ X0 ) @ xT )
| ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1204,zip_derived_cl1078]) ).
thf(m__3507,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ sz00 ) )
=> ( ( sdtlpdtrp0 @ xc @ W0 )
= ( sdtlpdtrp0 @ xc @ slcrc0 ) ) ) ).
thf(zip_derived_cl141,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xc @ X0 )
= ( sdtlpdtrp0 @ xc @ slcrc0 ) )
| ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xS @ sz00 ) ) ),
inference(cnf,[status(esa)],[m__3507]) ).
thf(zip_derived_cl133,plain,
( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ xK ) ),
inference(cnf,[status(esa)],[m__3453]) ).
thf(m__3462,axiom,
xK = sz00 ).
thf(zip_derived_cl139,plain,
xK = sz00,
inference(cnf,[status(esa)],[m__3462]) ).
thf(zip_derived_cl1091,plain,
( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl139]) ).
thf(zip_derived_cl1227,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xc @ X0 )
= ( sdtlpdtrp0 @ xc @ slcrc0 ) )
| ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) ) ),
inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl1091]) ).
thf(m__,conjecture,
? [W0: $i] :
( ? [W1: $i] :
( ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xK ) )
=> ( ( sdtlpdtrp0 @ xc @ W2 )
= W0 ) )
& ( isCountable0 @ W1 )
& ( aSubsetOf0 @ W1 @ xS ) )
& ( aElementOf0 @ W0 @ xT ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [W0: $i] :
( ? [W1: $i] :
( ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xK ) )
=> ( ( sdtlpdtrp0 @ xc @ W2 )
= W0 ) )
& ( isCountable0 @ W1 )
& ( aSubsetOf0 @ W1 @ xS ) )
& ( aElementOf0 @ W0 @ xT ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl142,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ xS )
| ~ ( isCountable0 @ X0 )
| ( ( sdtlpdtrp0 @ xc @ ( sk__18 @ X0 @ X1 ) )
!= X1 )
| ~ ( aElementOf0 @ X1 @ xT ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1382,plain,
! [X0: $i,X1: $i] :
( ( ( sdtlpdtrp0 @ xc @ slcrc0 )
!= X0 )
| ~ ( aElementOf0 @ ( sk__18 @ X1 @ X0 ) @ ( szDzozmdt0 @ xc ) )
| ~ ( aElementOf0 @ X0 @ xT )
| ~ ( isCountable0 @ X1 )
| ~ ( aSubsetOf0 @ X1 @ xS ) ),
inference('sup-',[status(thm)],[zip_derived_cl1227,zip_derived_cl142]) ).
thf(zip_derived_cl1091_001,plain,
( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl139]) ).
thf(zip_derived_cl143,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ xS )
| ~ ( isCountable0 @ X0 )
| ( aElementOf0 @ ( sk__18 @ X0 @ X1 ) @ ( slbdtsldtrb0 @ X0 @ xK ) )
| ~ ( aElementOf0 @ X1 @ xT ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl139_002,plain,
xK = sz00,
inference(cnf,[status(esa)],[m__3462]) ).
thf(zip_derived_cl1879,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ xS )
| ~ ( isCountable0 @ X0 )
| ( aElementOf0 @ ( sk__18 @ X0 @ X1 ) @ ( slbdtsldtrb0 @ X0 @ sz00 ) )
| ~ ( aElementOf0 @ X1 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl139]) ).
thf(zip_derived_cl1899,plain,
! [X0: $i] :
( ( aElementOf0 @ ( sk__18 @ xS @ X0 ) @ ( szDzozmdt0 @ xc ) )
| ~ ( aElementOf0 @ X0 @ xT )
| ~ ( isCountable0 @ xS )
| ~ ( aSubsetOf0 @ xS @ xS ) ),
inference('sup+',[status(thm)],[zip_derived_cl1091,zip_derived_cl1879]) ).
thf(m__3435,axiom,
( ( isCountable0 @ xS )
& ( aSubsetOf0 @ xS @ szNzAzT0 ) ) ).
thf(zip_derived_cl130,plain,
isCountable0 @ xS,
inference(cnf,[status(esa)],[m__3435]) ).
thf(zip_derived_cl1900,plain,
! [X0: $i] :
( ( aElementOf0 @ ( sk__18 @ xS @ X0 ) @ ( szDzozmdt0 @ xc ) )
| ~ ( aElementOf0 @ X0 @ xT )
| ~ ( aSubsetOf0 @ xS @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl130]) ).
thf(zip_derived_cl1955,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ xS @ xS )
| ~ ( isCountable0 @ xS )
| ~ ( aElementOf0 @ X0 @ xT )
| ( ( sdtlpdtrp0 @ xc @ slcrc0 )
!= X0 )
| ~ ( aSubsetOf0 @ xS @ xS )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference('sup+',[status(thm)],[zip_derived_cl1382,zip_derived_cl1900]) ).
thf(zip_derived_cl130_003,plain,
isCountable0 @ xS,
inference(cnf,[status(esa)],[m__3435]) ).
thf(zip_derived_cl1957,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ xS @ xS )
| ~ ( aElementOf0 @ X0 @ xT )
| ( ( sdtlpdtrp0 @ xc @ slcrc0 )
!= X0 )
| ~ ( aSubsetOf0 @ xS @ xS )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl1955,zip_derived_cl130]) ).
thf(zip_derived_cl1958,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xc @ slcrc0 )
!= X0 )
| ~ ( aElementOf0 @ X0 @ xT )
| ~ ( aSubsetOf0 @ xS @ xS ) ),
inference(simplify,[status(thm)],[zip_derived_cl1957]) ).
thf(zip_derived_cl2211,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) )
| ~ ( aSubsetOf0 @ xS @ xS )
| ( ( sdtlpdtrp0 @ xc @ slcrc0 )
!= ( sdtlpdtrp0 @ xc @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2179,zip_derived_cl1958]) ).
thf(zip_derived_cl1227_004,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xc @ X0 )
= ( sdtlpdtrp0 @ xc @ slcrc0 ) )
| ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) ) ),
inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl1091]) ).
thf(zip_derived_cl2242,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ xS @ xS )
| ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2211,zip_derived_cl1227]) ).
thf(zip_derived_cl2243,plain,
! [X0: $i] :
( ~ ( aSet0 @ xS )
| ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl2242]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl131,plain,
aSubsetOf0 @ xS @ szNzAzT0,
inference(cnf,[status(esa)],[m__3435]) ).
thf(zip_derived_cl1133,plain,
( ~ ( aSet0 @ szNzAzT0 )
| ( aSet0 @ xS ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl131]) ).
thf(mNATSet,axiom,
( ( isCountable0 @ szNzAzT0 )
& ( aSet0 @ szNzAzT0 ) ) ).
thf(zip_derived_cl44,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl1134,plain,
aSet0 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1133,zip_derived_cl44]) ).
thf(zip_derived_cl2244,plain,
! [X0: $i] :
~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) ),
inference(demod,[status(thm)],[zip_derived_cl2243,zip_derived_cl1134]) ).
thf(m__3476,axiom,
aElementOf0 @ slcrc0 @ ( slbdtsldtrb0 @ xS @ sz00 ) ).
thf(zip_derived_cl140,plain,
aElementOf0 @ slcrc0 @ ( slbdtsldtrb0 @ xS @ sz00 ),
inference(cnf,[status(esa)],[m__3476]) ).
thf(zip_derived_cl1091_005,plain,
( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl139]) ).
thf(zip_derived_cl1146,plain,
aElementOf0 @ slcrc0 @ ( szDzozmdt0 @ xc ),
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl1091]) ).
thf(zip_derived_cl2247,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl2244,zip_derived_cl1146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM566+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.z2A9vaUvk9 true
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 12:50:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.19/0.62 % Total configuration time : 435
% 0.19/0.62 % Estimated wc time : 1092
% 0.19/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.96 % Solved by fo/fo3_bce.sh.
% 0.55/0.96 % BCE start: 144
% 0.55/0.96 % BCE eliminated: 0
% 0.55/0.96 % PE start: 144
% 0.55/0.96 logic: eq
% 0.55/0.96 % PE eliminated: 2
% 0.55/0.96 % done 265 iterations in 0.215s
% 0.55/0.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.96 % SZS output start Refutation
% See solution above
% 0.55/0.96
% 0.55/0.96
% 0.55/0.96 % Terminating...
% 0.58/1.05 % Runner terminated.
% 0.58/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------