%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM638^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1B7ZijtRhk true
% Computer : n031.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 Oct 2 04:47:45 PM UTC 2025
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 39 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 113 ( 80 equ; 1 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 172 ( 34 ~; 19 |; 0 &; 87 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 7 con; 0-2 aty)
% ( 9 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 51 ( 31 ^; 20 !; 0 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf('#sk1_type',type,
'#sk1': nat ).
thf(some_type,type,
some: ( nat > $o ) > $o ).
thf(n_1_type,type,
n_1: nat ).
thf(suc_type,type,
suc: nat > nat ).
thf(x_type,type,
x: nat ).
thf('#sk2_type',type,
'#sk2': nat ).
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_cl3,plain,
( ( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( x
= ( suc @ Y0 ) )
=> ( ( x
= ( suc @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) )
=> ( (~)
@ ( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl35,plain,
( ~ ( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( x
= ( suc @ Y0 ) )
=> ( ( x
= ( suc @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) )
| ~ ( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl36,plain,
( ~ ( !!
@ ^ [Y0: nat] :
( ( x
= ( suc @ '#sk1' ) )
=> ( ( x
= ( suc @ Y0 ) )
=> ( '#sk1' = Y0 ) ) ) )
| ~ ( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl37,plain,
( ~ ( ( x
= ( suc @ '#sk1' ) )
=> ( ( x
= ( suc @ '#sk2' ) )
=> ( '#sk1' = '#sk2' ) ) )
| ~ ( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl39,plain,
( ~ ( ( x
= ( suc @ '#sk2' ) )
=> ( '#sk1' = '#sk2' ) )
| ~ ( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl41,plain,
( ( x
= ( suc @ '#sk2' ) )
| ~ ( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl43,plain,
( ( x
= ( suc @ '#sk2' ) )
| ~ ( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl41]) ).
thf(satz3,axiom,
! [Xx: nat] :
( ( Xx != n_1 )
=> ( some
@ ^ [Xu: nat] :
( Xx
= ( suc @ Xu ) ) ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: nat] :
( ( Y0 != n_1 )
=> ( some
@ ^ [Y1: nat] :
( Y0
= ( suc @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[satz3]) ).
thf(zip_derived_cl4,plain,
! [X2: nat] :
( ( X2 != n_1 )
=> ( some
@ ^ [Y0: nat] :
( X2
= ( suc @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
! [X2: nat] :
( ~ ( ( X2 != n_1 ) )
| ( some
@ ^ [Y0: nat] :
( X2
= ( suc @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
! [X2: nat] :
( ( X2 = n_1 )
| ( some
@ ^ [Y0: nat] :
( X2
= ( suc @ Y0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).
thf(n,axiom,
x != n_1 ).
thf(zip_derived_cl0,plain,
x != n_1,
inference(cnf,[status(esa)],[n]) ).
thf(zip_derived_cl8,plain,
! [X0: nat] :
( ( x != X0 )
| ( some
@ ^ [Y0: nat] :
( X0
= ( suc @ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl10,plain,
( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl68,plain,
( x
= ( suc @ '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl10]) ).
thf(zip_derived_cl6_001,plain,
! [X2: nat] :
( ( X2 = n_1 )
| ( some
@ ^ [Y0: nat] :
( X2
= ( suc @ Y0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl38,plain,
( ( x
= ( suc @ '#sk1' ) )
| ~ ( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl40,plain,
( ( x
= ( suc @ '#sk1' ) )
| ~ ( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl50,plain,
( ( x = n_1 )
| ( x
= ( suc @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl40]) ).
thf(zip_derived_cl0_002,plain,
x != n_1,
inference(cnf,[status(esa)],[n]) ).
thf(zip_derived_cl51,plain,
( x
= ( suc @ '#sk1' ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl50,zip_derived_cl0]) ).
thf(ax4,axiom,
! [Xx: nat,Xy: nat] :
( ( ( suc @ Xx )
= ( suc @ Xy ) )
=> ( Xx = Xy ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ( suc @ Y0 )
= ( suc @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl19,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( ( ( suc @ X2 )
= ( suc @ Y0 ) )
=> ( X2 = Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl20,plain,
! [X2: nat,X4: nat] :
( ( ( suc @ X2 )
= ( suc @ X4 ) )
=> ( X2 = X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
! [X2: nat,X4: nat] :
( ( ( suc @ X2 )
!= ( suc @ X4 ) )
| ( X2 = X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl22,plain,
! [X2: nat,X4: nat] :
( ( ( suc @ X2 )
!= ( suc @ X4 ) )
| ( X2 = X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl53,plain,
! [X0: nat] :
( ( ( suc @ X0 )
!= x )
| ( X0 = '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl22]) ).
thf(zip_derived_cl75,plain,
( ( x != x )
| ( '#sk2' = '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl53]) ).
thf(zip_derived_cl82,plain,
'#sk2' = '#sk1',
inference(simplify,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl42,plain,
( ( '#sk1' != '#sk2' )
| ~ ( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl44,plain,
( ( '#sk1' != '#sk2' )
| ~ ( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl10_003,plain,
( some
@ ^ [Y0: nat] :
( x
= ( suc @ Y0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl59,plain,
'#sk1' != '#sk2',
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl10]) ).
thf(zip_derived_cl83,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl82,zip_derived_cl59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : NUM638^1 : TPTP v9.2.0. Released v3.7.0.
% 0.10/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1B7ZijtRhk true
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 16:24:23 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.55/0.64 % Total configuration time : 828
% 0.55/0.64 % Estimated wc time : 1656
% 0.55/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.75 % Solved by lams/35_full_unif4.sh.
% 0.57/0.75 % done 10 iterations in 0.020s
% 0.57/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.75 % SZS output start Refutation
% See solution above
% 0.57/0.75
% 0.57/0.75
% 0.57/0.76 % Terminating...
% 0.63/0.84 % Runner terminated.
% 0.63/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------