TSTP Solution File: NUM637^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM637^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7iCKayuWGk true
% Computer : n016.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 12:42:57 EDT 2023
% Result : Theorem 1.59s 1.54s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 16 unt; 8 typ; 0 def)
% Number of atoms : 87 ( 24 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 283 ( 41 ~; 25 |; 0 &; 178 @)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-2 aty)
% ( 18 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 63 ( 22 ^; 41 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(set_type,type,
set: $tType ).
thf(n_1_type,type,
n_1: nat ).
thf(setof_type,type,
setof: ( nat > $o ) > set ).
thf(esti_type,type,
esti: nat > set > $o ).
thf(suc_type,type,
suc: nat > nat ).
thf(x_type,type,
x: nat ).
thf('#sk9_type',type,
'#sk9': set > nat ).
thf(ax5,axiom,
! [Xs: set] :
( ( esti @ n_1 @ Xs )
=> ( ! [Xx: nat] :
( ( esti @ Xx @ Xs )
=> ( esti @ ( suc @ Xx ) @ Xs ) )
=> ! [Xx: nat] : ( esti @ Xx @ Xs ) ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: set] :
( ( esti @ n_1 @ Y0 )
=> ( ( !!
@ ^ [Y1: nat] :
( ( esti @ Y1 @ Y0 )
=> ( esti @ ( suc @ Y1 ) @ Y0 ) ) )
=> ( !!
@ ^ [Y1: nat] : ( esti @ Y1 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl15,plain,
! [X2: set] :
( ( esti @ n_1 @ X2 )
=> ( ( !!
@ ^ [Y0: nat] :
( ( esti @ Y0 @ X2 )
=> ( esti @ ( suc @ Y0 ) @ X2 ) ) )
=> ( !!
@ ^ [Y0: nat] : ( esti @ Y0 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl16,plain,
! [X2: set] :
( ~ ( esti @ n_1 @ X2 )
| ( ( !!
@ ^ [Y0: nat] :
( ( esti @ Y0 @ X2 )
=> ( esti @ ( suc @ Y0 ) @ X2 ) ) )
=> ( !!
@ ^ [Y0: nat] : ( esti @ Y0 @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl17,plain,
! [X2: set] :
( ~ ( !!
@ ^ [Y0: nat] :
( ( esti @ Y0 @ X2 )
=> ( esti @ ( suc @ Y0 ) @ X2 ) ) )
| ( !!
@ ^ [Y0: nat] : ( esti @ Y0 @ X2 ) )
| ~ ( esti @ n_1 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl18,plain,
! [X2: set] :
( ~ ( ( esti @ ( '#sk9' @ X2 ) @ X2 )
=> ( esti @ ( suc @ ( '#sk9' @ X2 ) ) @ X2 ) )
| ~ ( esti @ n_1 @ X2 )
| ( !!
@ ^ [Y0: nat] : ( esti @ Y0 @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl20,plain,
! [X2: set] :
( ~ ( esti @ ( suc @ ( '#sk9' @ X2 ) ) @ X2 )
| ( !!
@ ^ [Y0: nat] : ( esti @ Y0 @ X2 ) )
| ~ ( esti @ n_1 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl22,plain,
! [X2: set,X4: nat] :
( ( esti @ X4 @ X2 )
| ~ ( esti @ n_1 @ X2 )
| ~ ( esti @ ( suc @ ( '#sk9' @ X2 ) ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(estie,axiom,
! [Xp: nat > $o,Xs: nat] :
( ( esti @ Xs @ ( setof @ Xp ) )
=> ( Xp @ Xs ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: nat > $o] :
( !!
@ ^ [Y1: nat] :
( ( esti @ Y1 @ ( setof @ Y0 ) )
=> ( Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[estie]) ).
thf(zip_derived_cl9,plain,
! [X2: nat > $o] :
( !!
@ ^ [Y0: nat] :
( ( esti @ Y0 @ ( setof @ X2 ) )
=> ( X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl10,plain,
! [X2: nat > $o,X4: nat] :
( ( esti @ X4 @ ( setof @ X2 ) )
=> ( X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
! [X2: nat > $o,X4: nat] :
( ~ ( esti @ X4 @ ( setof @ X2 ) )
| ( X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl88,plain,
! [X0: nat > $o,X1: nat] :
( ~ ( esti @ ( suc @ ( '#sk9' @ ( setof @ X0 ) ) ) @ ( setof @ X0 ) )
| ~ ( esti @ n_1 @ ( setof @ X0 ) )
| ( X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl11]) ).
thf(estii,axiom,
! [Xp: nat > $o,Xs: nat] :
( ( Xp @ Xs )
=> ( esti @ Xs @ ( setof @ Xp ) ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: nat > $o] :
( !!
@ ^ [Y1: nat] :
( ( Y0 @ Y1 )
=> ( esti @ Y1 @ ( setof @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[estii]) ).
thf(zip_derived_cl12,plain,
! [X2: nat > $o] :
( !!
@ ^ [Y0: nat] :
( ( X2 @ Y0 )
=> ( esti @ Y0 @ ( setof @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl13,plain,
! [X2: nat > $o,X4: nat] :
( ( X2 @ X4 )
=> ( esti @ X4 @ ( setof @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
! [X2: nat > $o,X4: nat] :
( ~ ( X2 @ X4 )
| ( esti @ X4 @ ( setof @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl680,plain,
! [X0: nat > $o,X1: nat] :
( ( X0 @ X1 )
| ~ ( esti @ n_1 @ ( setof @ X0 ) )
| ~ ( X0 @ ( suc @ ( '#sk9' @ ( setof @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl14]) ).
thf(zip_derived_cl14_001,plain,
! [X2: nat > $o,X4: nat] :
( ~ ( X2 @ X4 )
| ( esti @ X4 @ ( setof @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl757,plain,
! [X0: nat > $o,X1: nat] :
( ~ ( X0 @ ( suc @ ( '#sk9' @ ( setof @ X0 ) ) ) )
| ( X0 @ X1 )
| ~ ( X0 @ n_1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl680,zip_derived_cl14]) ).
thf(zip_derived_cl1043,plain,
! [X0: nat] :
( ~ ( ^ [Y0: nat] : ( X0 != Y0 )
@ ( suc
@ ( '#sk9'
@ ( setof
@ ^ [Y0: nat] : ( X0 != Y0 ) ) ) ) )
| ( ^ [Y0: nat] : ( X0 != Y0 )
@ X0 )
| ~ ( ^ [Y0: nat] : ( X0 != Y0 )
@ n_1 ) ),
inference('elim_leibniz_eq_+',[status(thm)],[zip_derived_cl757]) ).
thf(zip_derived_cl1076,plain,
! [X0: nat] :
( ( X0
!= ( suc @ ( '#sk9' @ ( setof @ ( nat != X0 ) ) ) ) )
| ( X0 != X0 )
| ( X0 != n_1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1043]) ).
thf(zip_derived_cl1077,plain,
! [X0: nat] :
( ( X0
!= ( suc @ ( '#sk9' @ ( setof @ ( nat != X0 ) ) ) ) )
| ( X0 != n_1 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1076]) ).
thf(zip_derived_cl1078,plain,
! [X0: nat] :
( ( X0
= ( suc @ ( '#sk9' @ ( setof @ ( nat != X0 ) ) ) ) )
| ( X0 = n_1 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1077]) ).
thf(satz3,conjecture,
~ ! [Xx_0: nat] :
( x
!= ( suc @ Xx_0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
! [Xx_0: nat] :
( x
!= ( suc @ Xx_0 ) ),
inference('cnf.neg',[status(esa)],[satz3]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: nat] :
( x
!= ( suc @ Y0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X2: nat] :
( x
!= ( suc @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
! [X2: nat] :
( x
!= ( suc @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl1259,plain,
! [X0: nat] :
( ( x != X0 )
| ( X0 = n_1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1078,zip_derived_cl8]) ).
thf(zip_derived_cl1293,plain,
x = n_1,
inference(simplify,[status(thm)],[zip_derived_cl1259]) ).
thf(n,axiom,
x != n_1 ).
thf(zip_derived_cl0,plain,
x != n_1,
inference(cnf,[status(esa)],[n]) ).
thf(zip_derived_cl1294,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1293,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM637^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7iCKayuWGk true
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 16:56:41 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
% 0.22/0.37 % Python version: Python 3.6.8
% 0.22/0.37 % Running in HO mode
% 0.22/0.69 % Total configuration time : 828
% 0.22/0.69 % Estimated wc time : 1656
% 0.22/0.69 % Estimated cpu time (8 cpus) : 207.0
% 1.03/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.03/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.03/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.03/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.03/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.03/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.03/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.43/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.44/0.95 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.59/1.54 % Solved by lams/30_b.l.sh.
% 1.59/1.54 % done 51 iterations in 0.515s
% 1.59/1.54 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.59/1.54 % SZS output start Refutation
% See solution above
% 1.59/1.54
% 1.59/1.54
% 1.59/1.54 % Terminating...
% 7.88/1.66 % Runner terminated.
% 7.88/1.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------