TSTP Solution File: NUM638^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM638^1 : 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.FPv2VyOIOz true
% Computer : n022.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 12:42:58 EDT 2023
% Result : Theorem 1.10s 0.80s
% Output : Refutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 8 unt; 7 typ; 0 def)
% Number of atoms : 59 ( 45 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 85 ( 20 ~; 13 |; 0 &; 44 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 13 ^; 14 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(some_type,type,
some: ( nat > $o ) > $o ).
thf(sk__type,type,
sk_: nat ).
thf(n_1_type,type,
n_1: nat ).
thf(suc_type,type,
suc: nat > nat ).
thf(x_type,type,
x: nat ).
thf(sk__1_type,type,
sk__1: nat ).
thf(ax4,axiom,
! [Xx: nat,Xy: nat] :
( ( ( suc @ Xx )
= ( suc @ Xy ) )
=> ( Xx = Xy ) ) ).
thf(zip_derived_cl1,plain,
! [X0: nat,X1: nat] :
( ( X1 = X0 )
| ( ( suc @ X1 )
!= ( suc @ X0 ) ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(satz3a,conjecture,
~ ( ! [Xx_0: nat,Xy: nat] :
( ( x
= ( suc @ Xx_0 ) )
=> ( ( x
= ( suc @ Xy ) )
=> ( Xx_0 = Xy ) ) )
=> ~ ( some
@ ^ [Xu: nat] :
( x
= ( suc @ Xu ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ! [Xx_0: nat,Xy: nat] :
( ( x
= ( suc @ Xx_0 ) )
=> ( ( x
= ( suc @ Xy ) )
=> ( Xx_0 = Xy ) ) )
=> ~ ( some
@ ^ [Xu: nat] :
( x
= ( suc @ Xu ) ) ) ),
inference('cnf.neg',[status(esa)],[satz3a]) ).
thf(zip_derived_cl4,plain,
( ~ ( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) )
| ( sk_ != sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
! [X0: nat] :
( ( sk_ != X0 )
| ( ( suc @ sk__1 )
!= ( suc @ X0 ) )
| ~ ( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).
thf(zip_derived_cl31,plain,
( ~ ( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) )
| ( ( suc @ sk__1 )
!= ( suc @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl10]) ).
thf(satz3,axiom,
! [Xx: nat] :
( ( Xx != n_1 )
=> ( some
@ ^ [Xu: nat] :
( Xx
= ( suc @ Xu ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: nat] :
( ( some
@ ^ [Y0: nat] :
( X0
= ( suc @ Y0 ) ) )
| ( X0 = n_1 ) ),
inference(cnf,[status(esa)],[satz3]) ).
thf(n,axiom,
x != n_1 ).
thf(zip_derived_cl0,plain,
x != n_1,
inference(cnf,[status(esa)],[n]) ).
thf(zip_derived_cl7,plain,
! [X0: nat] :
( ( x != X0 )
| ( some
@ ^ [Y0: nat] :
( X0
= ( suc @ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl9,plain,
( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl2_001,plain,
! [X0: nat] :
( ( some
@ ^ [Y0: nat] :
( X0
= ( suc @ Y0 ) ) )
| ( X0 = n_1 ) ),
inference(cnf,[status(esa)],[satz3]) ).
thf(zip_derived_cl5,plain,
( ~ ( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) )
| ( x
= ( suc @ sk__1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80,plain,
( ( x = n_1 )
| ( x
= ( suc @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl5]) ).
thf(zip_derived_cl0_002,plain,
x != n_1,
inference(cnf,[status(esa)],[n]) ).
thf(zip_derived_cl81,plain,
( x
= ( suc @ sk__1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl80,zip_derived_cl0]) ).
thf(zip_derived_cl2_003,plain,
! [X0: nat] :
( ( some
@ ^ [Y0: nat] :
( X0
= ( suc @ Y0 ) ) )
| ( X0 = n_1 ) ),
inference(cnf,[status(esa)],[satz3]) ).
thf(zip_derived_cl3,plain,
( ~ ( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) )
| ( x
= ( suc @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40,plain,
( ( x = n_1 )
| ( x
= ( suc @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl0_004,plain,
x != n_1,
inference(cnf,[status(esa)],[n]) ).
thf(zip_derived_cl41,plain,
( x
= ( suc @ sk_ ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl40,zip_derived_cl0]) ).
thf(zip_derived_cl98,plain,
x != x,
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl9,zip_derived_cl81,zip_derived_cl41]) ).
thf(zip_derived_cl99,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM638^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FPv2VyOIOz true
% 0.15/0.35 % Computer : n022.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 17:30:55 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 1.10/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.10/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.10/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.10/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.10/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.10/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.10/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.10/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.10/0.80 % Solved by lams/40_c.s.sh.
% 1.10/0.80 % done 15 iterations in 0.015s
% 1.10/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.10/0.80 % SZS output start Refutation
% See solution above
% 1.10/0.80
% 1.10/0.80
% 1.10/0.80 % Terminating...
% 1.60/0.86 % Runner terminated.
% 1.60/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------