%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV165^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dCuSJBdxm4 true
% Computer : n021.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 04:57:18 PM UTC 2025
% Result : Theorem 33.94s 5.02s
% Output : Refutation 33.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 1 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 146 ( 8 ~; 0 |; 9 &; 106 @)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 99 ( 99 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 4 usr; 3 con; 0-2 aty)
% ( 14 !!; 1 ??; 0 @@+; 0 @@-)
% Number of variables : 40 ( 24 ^; 14 !; 2 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk20_type',type,
'#sk20': ( ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o ) > $i > $o ).
thf('#sk146_type',type,
'#sk146': ( ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o ) > $i ).
thf('#sk89_type',type,
'#sk89': ( ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o ) > $i > $o ).
thf('#sk270_type',type,
'#sk270': ( ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o ) > $i ).
thf(cEXISTS_CART_SET_PROD_pme,conjecture,
? [CROSS: ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o] :
! [A: $i > $o,B: $i > $o,Xa: $i,Xb: $i] :
( ( CROSS @ A @ B
@ ^ [G: $i > $i > $i] : ( G @ Xa @ Xb ) )
<=> ( ( B @ Xb )
& ( A @ Xa ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [CROSS: ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o] :
! [A: $i > $o,B: $i > $o,Xa: $i,Xb: $i] :
( ( CROSS @ A @ B
@ ^ [G: $i > $i > $i] : ( G @ Xa @ Xb ) )
<=> ( ( B @ Xb )
& ( A @ Xa ) ) ),
inference('cnf.neg',[status(esa)],[cEXISTS_CART_SET_PROD_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ??
@ ^ [Y0: ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( Y0 @ Y1 @ Y2
@ ^ [Y5: $i > $i > $i] : ( Y5 @ Y3 @ Y4 ) )
<=> ( ( Y2 @ Y4 )
& ( Y1 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o] :
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( X2 @ Y0 @ Y1
@ ^ [Y4: $i > $i > $i] : ( Y4 @ Y2 @ Y3 ) )
<=> ( ( Y1 @ Y3 )
& ( Y0 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl9,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o] :
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( X2 @ ( '#sk20' @ X2 ) @ Y0
@ ^ [Y3: $i > $i > $i] : ( Y3 @ Y1 @ Y2 ) )
<=> ( ( Y0 @ Y2 )
& ( '#sk20' @ X2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl22,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o] :
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( X2 @ ( '#sk20' @ X2 ) @ ( '#sk89' @ X2 )
@ ^ [Y2: $i > $i > $i] : ( Y2 @ Y0 @ Y1 ) )
<=> ( ( '#sk89' @ X2 @ Y1 )
& ( '#sk20' @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl23,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o] :
~ ( !!
@ ^ [Y0: $i] :
( ( X2 @ ( '#sk20' @ X2 ) @ ( '#sk89' @ X2 )
@ ^ [Y1: $i > $i > $i] : ( Y1 @ ( '#sk146' @ X2 ) @ Y0 ) )
<=> ( ( '#sk89' @ X2 @ Y0 )
& ( '#sk20' @ X2 @ ( '#sk146' @ X2 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl25,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o] :
~ ( ( X2 @ ( '#sk20' @ X2 ) @ ( '#sk89' @ X2 )
@ ^ [Y0: $i > $i > $i] : ( Y0 @ ( '#sk146' @ X2 ) @ ( '#sk270' @ X2 ) ) )
<=> ( ( '#sk89' @ X2 @ ( '#sk270' @ X2 ) )
& ( '#sk20' @ X2 @ ( '#sk146' @ X2 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl26,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o] :
( ( X2 @ ( '#sk20' @ X2 ) @ ( '#sk89' @ X2 )
@ ^ [Y0: $i > $i > $i] : ( Y0 @ ( '#sk146' @ X2 ) @ ( '#sk270' @ X2 ) ) )
!= ( ( '#sk89' @ X2 @ ( '#sk270' @ X2 ) )
& ( '#sk20' @ X2 @ ( '#sk146' @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl32,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEV165^5 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dCuSJBdxm4 true
% 0.10/0.32 % Computer : n021.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 15:39:38 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.33 % Python version: Python 3.6.8
% 0.10/0.33 % Running in HO mode
% 0.61/0.62 % Total configuration time : 828
% 0.61/0.62 % Estimated wc time : 1656
% 0.61/0.62 % Estimated cpu time (8 cpus) : 207.0
% 1.36/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.36/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.36/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.36/0.71 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.36/0.71 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.36/0.71 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.36/0.71 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.36/0.72 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 9.23/1.89 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 29.80/4.50 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 33.94/5.02 % Solved by lams/35_full_unif.sh.
% 33.94/5.02 % done 22 iterations in 0.477s
% 33.94/5.02 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 33.94/5.02 % SZS output start Refutation
% See solution above
% 33.94/5.02
% 33.94/5.02
% 33.94/5.02 % Terminating...
% 34.56/5.15 % Runner terminated.
% 34.56/5.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------