TSTP Solution File: NUM633+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM633+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1zUkoKORmK true
% Computer : n012.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 12:42:54 EDT 2023
% Result : Theorem 20.05s 3.58s
% Output : Refutation 20.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of formulae : 41 ( 9 unt; 19 typ; 0 def)
% Number of atoms : 104 ( 20 equ; 0 cnn)
% Maximal formula atoms : 31 ( 4 avg)
% Number of connectives : 336 ( 26 ~; 23 |; 39 &; 228 @)
% ( 1 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 9 con; 0-2 aty)
% Number of variables : 33 ( 0 ^; 27 !; 6 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(szDzizrdt0_type,type,
szDzizrdt0: $i > $i ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(xO_type,type,
xO: $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(xc_type,type,
xc: $i ).
thf(sdtlbdtrb0_type,type,
sdtlbdtrb0: $i > $i > $i ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(xS_type,type,
xS: $i ).
thf(sk__45_type,type,
sk__45: $i > $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(slcrc0_type,type,
slcrc0: $i ).
thf(xT_type,type,
xT: $i ).
thf(xd_type,type,
xd: $i ).
thf(xK_type,type,
xK: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(m__,conjecture,
( ! [W0: $i] :
( ( ( ( ( ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xO ) ) )
| ( aSubsetOf0 @ W0 @ xO ) )
& ( ( sbrdtbr0 @ W0 )
= xK ) )
| ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xO @ xK ) ) )
=> ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xc ) )
& ~ ( ~ ? [W1: $i] : ( aElementOf0 @ W1 @ W0 )
| ( W0 = slcrc0 ) )
& ( aSubsetOf0 @ W0 @ xS )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xS ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ szNzAzT0 ) )
& ( ( sdtlpdtrp0 @ xc @ W0 )
= ( szDzizrdt0 @ xd ) )
& ( aSubsetOf0 @ W0 @ szNzAzT0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xS ) ) ) )
=> ? [W0: $i] :
( ? [W1: $i] :
( ! [W2: $i] :
( ( ( aSet0 @ W2 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
=> ( aElementOf0 @ W3 @ W1 ) )
& ( aSubsetOf0 @ W2 @ W1 )
& ( ( sbrdtbr0 @ W2 )
= xK )
& ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xK ) ) )
=> ( ( sdtlpdtrp0 @ xc @ W2 )
= W0 ) )
& ( isCountable0 @ W1 )
& ( ( aSubsetOf0 @ W1 @ xS )
| ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ xS ) )
& ( aSet0 @ W1 ) ) ) )
& ( aElementOf0 @ W0 @ xT ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [W0: $i] :
( ( ( ( ( ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xO ) ) )
| ( aSubsetOf0 @ W0 @ xO ) )
& ( ( sbrdtbr0 @ W0 )
= xK ) )
| ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xO @ xK ) ) )
=> ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xc ) )
& ~ ( ~ ? [W1: $i] : ( aElementOf0 @ W1 @ W0 )
| ( W0 = slcrc0 ) )
& ( aSubsetOf0 @ W0 @ xS )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xS ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ szNzAzT0 ) )
& ( ( sdtlpdtrp0 @ xc @ W0 )
= ( szDzizrdt0 @ xd ) )
& ( aSubsetOf0 @ W0 @ szNzAzT0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xS ) ) ) )
=> ? [W0: $i] :
( ? [W1: $i] :
( ! [W2: $i] :
( ( ( aSet0 @ W2 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
=> ( aElementOf0 @ W3 @ W1 ) )
& ( aSubsetOf0 @ W2 @ W1 )
& ( ( sbrdtbr0 @ W2 )
= xK )
& ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xK ) ) )
=> ( ( sdtlpdtrp0 @ xc @ W2 )
= W0 ) )
& ( isCountable0 @ W1 )
& ( ( aSubsetOf0 @ W1 @ xS )
| ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ xS ) )
& ( aSet0 @ W1 ) ) ) )
& ( aElementOf0 @ W0 @ xT ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl476,plain,
! [X4: $i,X5: $i] :
( ~ ( aSubsetOf0 @ X4 @ xS )
| ~ ( isCountable0 @ X4 )
| ( aElementOf0 @ ( sk__45 @ X4 @ X5 ) @ ( slbdtsldtrb0 @ X4 @ xK ) )
| ~ ( aElementOf0 @ X5 @ xT ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl466,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xc @ X0 )
= ( szDzizrdt0 @ xd ) )
| ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xO @ xK ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10954,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xT )
| ~ ( isCountable0 @ xO )
| ~ ( aSubsetOf0 @ xO @ xS )
| ( ( sdtlpdtrp0 @ xc @ ( sk__45 @ xO @ X0 ) )
= ( szDzizrdt0 @ xd ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl466]) ).
thf(m__4908,axiom,
( ( isCountable0 @ xO )
& ( aSet0 @ xO ) ) ).
thf(zip_derived_cl428,plain,
isCountable0 @ xO,
inference(cnf,[status(esa)],[m__4908]) ).
thf(m__4998,axiom,
( ( aSubsetOf0 @ xO @ xS )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xO )
=> ( aElementOf0 @ W0 @ xS ) ) ) ).
thf(zip_derived_cl438,plain,
aSubsetOf0 @ xO @ xS,
inference(cnf,[status(esa)],[m__4998]) ).
thf(zip_derived_cl10963,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xT )
| ( ( sdtlpdtrp0 @ xc @ ( sk__45 @ xO @ X0 ) )
= ( szDzizrdt0 @ xd ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10954,zip_derived_cl428,zip_derived_cl438]) ).
thf(m__4854,axiom,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
<=> ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xd ) )
& ( ( sdtlpdtrp0 @ xd @ W0 )
= ( szDzizrdt0 @ xd ) ) ) )
& ( aSet0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
& ( aElementOf0 @ ( szDzizrdt0 @ xd ) @ xT ) ) ).
thf(zip_derived_cl414,plain,
aElementOf0 @ ( szDzizrdt0 @ xd ) @ xT,
inference(cnf,[status(esa)],[m__4854]) ).
thf(zip_derived_cl438_001,plain,
aSubsetOf0 @ xO @ xS,
inference(cnf,[status(esa)],[m__4998]) ).
thf(zip_derived_cl475,plain,
! [X4: $i,X5: $i] :
( ~ ( aSubsetOf0 @ X4 @ xS )
| ~ ( isCountable0 @ X4 )
| ( ( sdtlpdtrp0 @ xc @ ( sk__45 @ X4 @ X5 ) )
!= X5 )
| ~ ( aElementOf0 @ X5 @ xT ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4482,plain,
! [X0: $i] :
( ~ ( isCountable0 @ xO )
| ( ( sdtlpdtrp0 @ xc @ ( sk__45 @ xO @ X0 ) )
!= X0 )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl475]) ).
thf(zip_derived_cl428_002,plain,
isCountable0 @ xO,
inference(cnf,[status(esa)],[m__4908]) ).
thf(zip_derived_cl4488,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xc @ ( sk__45 @ xO @ X0 ) )
!= X0 )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl4482,zip_derived_cl428]) ).
thf(zip_derived_cl4591,plain,
( ( sdtlpdtrp0 @ xc @ ( sk__45 @ xO @ ( szDzizrdt0 @ xd ) ) )
!= ( szDzizrdt0 @ xd ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl4488]) ).
thf(zip_derived_cl14041,plain,
( ~ ( aElementOf0 @ ( szDzizrdt0 @ xd ) @ xT )
| ( ( szDzizrdt0 @ xd )
!= ( szDzizrdt0 @ xd ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10963,zip_derived_cl4591]) ).
thf(zip_derived_cl414_003,plain,
aElementOf0 @ ( szDzizrdt0 @ xd ) @ xT,
inference(cnf,[status(esa)],[m__4854]) ).
thf(zip_derived_cl14056,plain,
( ( szDzizrdt0 @ xd )
!= ( szDzizrdt0 @ xd ) ),
inference(demod,[status(thm)],[zip_derived_cl14041,zip_derived_cl414]) ).
thf(zip_derived_cl14057,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl14056]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM633+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1zUkoKORmK true
% 0.14/0.35 % Computer : n012.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 12:35:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 20.05/3.58 % Solved by fo/fo6_bce.sh.
% 20.05/3.58 % BCE start: 493
% 20.05/3.58 % BCE eliminated: 0
% 20.05/3.58 % PE start: 493
% 20.05/3.58 logic: eq
% 20.05/3.58 % PE eliminated: 62
% 20.05/3.58 % done 1233 iterations in 2.842s
% 20.05/3.58 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 20.05/3.58 % SZS output start Refutation
% See solution above
% 20.05/3.58
% 20.05/3.58
% 20.05/3.58 % Terminating...
% 20.05/3.70 % Runner terminated.
% 20.05/3.72 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------