TSTP Solution File: NUM705^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM705^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vdfVjjgf9N true
% Computer : n023.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 12:43:37 EDT 2023
% Result : Theorem 0.61s 0.85s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 52 ( 4 unt; 7 typ; 0 def)
% Number of atoms : 183 ( 11 equ; 24 cnn)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 386 ( 81 ~; 35 |; 0 &; 210 @)
% ( 0 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 5 con; 0-2 aty)
% ( 12 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 66 ( 32 ^; 34 !; 0 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(sk__1_type,type,
sk__1: nat ).
thf(more_type,type,
more: nat > nat > $o ).
thf(some_type,type,
some: ( nat > $o ) > $o ).
thf(lessis_type,type,
lessis: nat > nat > $o ).
thf(p_type,type,
p: nat > $o ).
thf(sk__type,type,
sk_: nat ).
thf(satz27,axiom,
! [Xp: nat > $o] :
( ( some @ Xp )
=> ( some
@ ^ [Xx: nat] :
~ ( ! [Xx_0: nat] :
( ( Xp @ Xx_0 )
=> ( lessis @ Xx @ Xx_0 ) )
=> ~ ( Xp @ Xx ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: nat > $o] :
( ( some
@ ^ [Y0: nat] :
( (~)
@ ( ( !!
@ ^ [Y1: nat] :
( ( X0 @ Y1 )
=> ( lessis @ Y0 @ Y1 ) ) )
=> ( (~) @ ( X0 @ Y0 ) ) ) ) )
| ~ ( some @ X0 ) ),
inference(cnf,[status(esa)],[satz27]) ).
thf(satz27a,conjecture,
~ ( ! [Xx: nat,Xy: nat] :
( ~ ( ! [Xx_0: nat] :
( ( p @ Xx_0 )
=> ( lessis @ Xx @ Xx_0 ) )
=> ~ ( p @ Xx ) )
=> ( ~ ( ! [Xx_0: nat] :
( ( p @ Xx_0 )
=> ( lessis @ Xy @ Xx_0 ) )
=> ~ ( p @ Xy ) )
=> ( Xx = Xy ) ) )
=> ~ ( some
@ ^ [Xx: nat] :
~ ( ! [Xx_0: nat] :
( ( p @ Xx_0 )
=> ( lessis @ Xx @ Xx_0 ) )
=> ~ ( p @ Xx ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ! [Xx: nat,Xy: nat] :
( ~ ( ! [Xx_0: nat] :
( ( p @ Xx_0 )
=> ( lessis @ Xx @ Xx_0 ) )
=> ~ ( p @ Xx ) )
=> ( ~ ( ! [Xx_0: nat] :
( ( p @ Xx_0 )
=> ( lessis @ Xy @ Xx_0 ) )
=> ~ ( p @ Xy ) )
=> ( Xx = Xy ) ) )
=> ~ ( some
@ ^ [Xx: nat] :
~ ( ! [Xx_0: nat] :
( ( p @ Xx_0 )
=> ( lessis @ Xx @ Xx_0 ) )
=> ~ ( p @ Xx ) ) ) ),
inference('cnf.neg',[status(esa)],[satz27a]) ).
thf(zip_derived_cl7,plain,
( ~ ( some
@ ^ [Y0: nat] :
( (~)
@ ( ( !!
@ ^ [Y1: nat] :
( ( p @ Y1 )
=> ( lessis @ Y0 @ Y1 ) ) )
=> ( (~) @ ( p @ Y0 ) ) ) ) )
| ( sk_ != sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_001,plain,
! [X0: nat > $o] :
( ( some
@ ^ [Y0: nat] :
( (~)
@ ( ( !!
@ ^ [Y1: nat] :
( ( X0 @ Y1 )
=> ( lessis @ Y0 @ Y1 ) ) )
=> ( (~) @ ( X0 @ Y0 ) ) ) ) )
| ~ ( some @ X0 ) ),
inference(cnf,[status(esa)],[satz27]) ).
thf(zip_derived_cl8,plain,
! [X1: nat] :
( ~ ( some
@ ^ [Y0: nat] :
( (~)
@ ( ( !!
@ ^ [Y1: nat] :
( ( p @ Y1 )
=> ( lessis @ Y0 @ Y1 ) ) )
=> ( (~) @ ( p @ Y0 ) ) ) ) )
| ( lessis @ sk__1 @ X1 )
| ~ ( p @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59,plain,
! [X0: nat] :
( ~ ( some
@ ^ [Y0: nat] : ( p @ Y0 ) )
| ~ ( p @ X0 )
| ( lessis @ sk__1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).
thf(zip_derived_cl61,plain,
! [X0: nat] :
( ~ ( some @ p )
| ~ ( p @ X0 )
| ( lessis @ sk__1 @ X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl59]) ).
thf(s,axiom,
some @ p ).
thf(zip_derived_cl0,plain,
some @ p,
inference(cnf,[status(esa)],[s]) ).
thf(zip_derived_cl62,plain,
! [X0: nat] :
( ~ ( p @ X0 )
| ( lessis @ sk__1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl0]) ).
thf(zip_derived_cl4_002,plain,
! [X0: nat > $o] :
( ( some
@ ^ [Y0: nat] :
( (~)
@ ( ( !!
@ ^ [Y1: nat] :
( ( X0 @ Y1 )
=> ( lessis @ Y0 @ Y1 ) ) )
=> ( (~) @ ( X0 @ Y0 ) ) ) ) )
| ~ ( some @ X0 ) ),
inference(cnf,[status(esa)],[satz27]) ).
thf(zip_derived_cl9,plain,
( ~ ( some
@ ^ [Y0: nat] :
( (~)
@ ( ( !!
@ ^ [Y1: nat] :
( ( p @ Y1 )
=> ( lessis @ Y0 @ Y1 ) ) )
=> ( (~) @ ( p @ Y0 ) ) ) ) )
| ( p @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl38,plain,
( ~ ( some
@ ^ [Y0: nat] : ( p @ Y0 ) )
| ( p @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl9]) ).
thf(zip_derived_cl39,plain,
( ~ ( some @ p )
| ( p @ sk__1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl0_003,plain,
some @ p,
inference(cnf,[status(esa)],[s]) ).
thf(zip_derived_cl40,plain,
p @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl0]) ).
thf(zip_derived_cl4_004,plain,
! [X0: nat > $o] :
( ( some
@ ^ [Y0: nat] :
( (~)
@ ( ( !!
@ ^ [Y1: nat] :
( ( X0 @ Y1 )
=> ( lessis @ Y0 @ Y1 ) ) )
=> ( (~) @ ( X0 @ Y0 ) ) ) ) )
| ~ ( some @ X0 ) ),
inference(cnf,[status(esa)],[satz27]) ).
thf(zip_derived_cl5,plain,
! [X0: nat] :
( ~ ( some
@ ^ [Y0: nat] :
( (~)
@ ( ( !!
@ ^ [Y1: nat] :
( ( p @ Y1 )
=> ( lessis @ Y0 @ Y1 ) ) )
=> ( (~) @ ( p @ Y0 ) ) ) ) )
| ( lessis @ sk_ @ X0 )
| ~ ( p @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47,plain,
! [X0: nat] :
( ~ ( some
@ ^ [Y0: nat] : ( p @ Y0 ) )
| ~ ( p @ X0 )
| ( lessis @ sk_ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).
thf(zip_derived_cl49,plain,
! [X0: nat] :
( ~ ( some @ p )
| ~ ( p @ X0 )
| ( lessis @ sk_ @ X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl0_005,plain,
some @ p,
inference(cnf,[status(esa)],[s]) ).
thf(zip_derived_cl50,plain,
! [X0: nat] :
( ~ ( p @ X0 )
| ( lessis @ sk_ @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl0]) ).
thf(satz14,axiom,
! [Xx: nat,Xy: nat] :
( ( lessis @ Xx @ Xy )
=> ( ~ ( more @ Xy @ Xx )
=> ( Xy = Xx ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: nat,X1: nat] :
( ( more @ X0 @ X1 )
| ( X0 = X1 )
| ~ ( lessis @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[satz14]) ).
thf(zip_derived_cl70,plain,
! [X0: nat] :
( ~ ( p @ X0 )
| ( X0 = sk_ )
| ( more @ X0 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl1]) ).
thf(zip_derived_cl74,plain,
( ( more @ sk__1 @ sk_ )
| ( sk__1 = sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl70]) ).
thf(satz10d,axiom,
! [Xx: nat,Xy: nat] :
( ( lessis @ Xx @ Xy )
=> ~ ( more @ Xx @ Xy ) ) ).
thf(zip_derived_cl3,plain,
! [X0: nat,X1: nat] :
( ~ ( more @ X0 @ X1 )
| ~ ( lessis @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[satz10d]) ).
thf(zip_derived_cl78,plain,
( ( sk__1 = sk_ )
| ~ ( lessis @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl3]) ).
thf(zip_derived_cl81,plain,
( ~ ( p @ sk_ )
| ( sk__1 = sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl78]) ).
thf(zip_derived_cl4_006,plain,
! [X0: nat > $o] :
( ( some
@ ^ [Y0: nat] :
( (~)
@ ( ( !!
@ ^ [Y1: nat] :
( ( X0 @ Y1 )
=> ( lessis @ Y0 @ Y1 ) ) )
=> ( (~) @ ( X0 @ Y0 ) ) ) ) )
| ~ ( some @ X0 ) ),
inference(cnf,[status(esa)],[satz27]) ).
thf(zip_derived_cl6,plain,
( ~ ( some
@ ^ [Y0: nat] :
( (~)
@ ( ( !!
@ ^ [Y1: nat] :
( ( p @ Y1 )
=> ( lessis @ Y0 @ Y1 ) ) )
=> ( (~) @ ( p @ Y0 ) ) ) ) )
| ( p @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30,plain,
( ~ ( some
@ ^ [Y0: nat] : ( p @ Y0 ) )
| ( p @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl6]) ).
thf(zip_derived_cl31,plain,
( ~ ( some @ p )
| ( p @ sk_ ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl0_007,plain,
some @ p,
inference(cnf,[status(esa)],[s]) ).
thf(zip_derived_cl32,plain,
p @ sk_,
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl0]) ).
thf(zip_derived_cl84,plain,
sk__1 = sk_,
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl32]) ).
thf(zip_derived_cl88,plain,
( ~ ( some
@ ^ [Y0: nat] :
( (~)
@ ( ( !!
@ ^ [Y1: nat] :
( ( p @ Y1 )
=> ( lessis @ Y0 @ Y1 ) ) )
=> ( (~) @ ( p @ Y0 ) ) ) ) )
| ( sk_ != sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl84]) ).
thf(zip_derived_cl89,plain,
~ ( some
@ ^ [Y0: nat] :
( (~)
@ ( ( !!
@ ^ [Y1: nat] :
( ( p @ Y1 )
=> ( lessis @ Y0 @ Y1 ) ) )
=> ( (~) @ ( p @ Y0 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl118,plain,
~ ( some
@ ^ [Y0: nat] : ( p @ Y0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl89]) ).
thf(zip_derived_cl119,plain,
~ ( some @ p ),
inference(ho_norm,[status(thm)],[zip_derived_cl118]) ).
thf(zip_derived_cl0_008,plain,
some @ p,
inference(cnf,[status(esa)],[s]) ).
thf(zip_derived_cl120,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM705^1 : TPTP v8.1.2. Released v3.7.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vdfVjjgf9N true
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 12:24:57 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % Running in HO mode
% 0.59/0.70 % Total configuration time : 828
% 0.59/0.70 % Estimated wc time : 1656
% 0.59/0.70 % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.61/0.85 % Solved by lams/40_c_ic.sh.
% 0.61/0.85 % done 32 iterations in 0.058s
% 0.61/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.61/0.85 % SZS output start Refutation
% See solution above
% 0.61/0.86
% 0.61/0.86
% 0.61/0.86 % Terminating...
% 1.67/0.94 % Runner terminated.
% 1.67/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------