%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU666^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4BpyhSTjsr true
% Computer : n027.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 04:55:38 PM UTC 2025
% Result : Theorem 0.56s 0.77s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 72 ( 13 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 243 ( 5 ~; 6 |; 18 &; 194 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 6 con; 0-3 aty)
% ( 0 !!; 2 ??; 0 @@+; 0 @@-)
% Number of variables : 84 ( 24 ^; 50 !; 10 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(subsetI2_type,type,
subsetI2: $o ).
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(dpsetconstr_type,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(dpsetconstr,axiom,
( dpsetconstr
= ( ^ [A: $i,B: $i,Xphi: $i > $i > $o] :
( dsetconstr @ ( cartprod @ A @ B )
@ ^ [Xu: $i] :
? [Xx: $i] :
( ? [Xy: $i] :
( ( Xu
= ( kpair @ Xx @ Xy ) )
& ( Xphi @ Xx @ Xy )
& ( in @ Xy @ B ) )
& ( in @ Xx @ A ) ) ) ) ) ).
thf('0',plain,
( dpsetconstr
= ( ^ [A: $i,B: $i,Xphi: $i > $i > $o] :
( dsetconstr @ ( cartprod @ A @ B )
@ ^ [Xu: $i] :
? [Xx: $i] :
( ? [Xy: $i] :
( ( Xu
= ( kpair @ Xx @ Xy ) )
& ( Xphi @ Xx @ Xy )
& ( in @ Xy @ B ) )
& ( in @ Xx @ A ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[dpsetconstr]) ).
thf('1',plain,
( dpsetconstr
= ( ^ [V_1: $i,V_2: $i,V_3: $i > $i > $o] :
( dsetconstr @ ( cartprod @ V_1 @ V_2 )
@ ^ [V_4: $i] :
? [X4: $i] :
( ? [X6: $i] :
( ( V_4
= ( kpair @ X4 @ X6 ) )
& ( V_3 @ X4 @ X6 )
& ( in @ X6 @ V_2 ) )
& ( in @ X4 @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(subsetI2,axiom,
( subsetI2
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('2',plain,
( subsetI2
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrEL,axiom,
( dsetconstrEL
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('3',plain,
( dsetconstrEL
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(dpsetconstrSub,conjecture,
( dsetconstrEL
=> ( subsetI2
=> ! [A: $i,B: $i,Xphi: $i > $i > $o] :
( subset
@ ( dpsetconstr @ A @ B
@ ^ [Xx: $i,Xy: $i] : ( Xphi @ Xx @ Xy ) )
@ ( cartprod @ A @ B ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) )
=> ( ! [X10: $i,X12: $i] :
( ! [X14: $i] :
( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) )
=> ( subset @ X10 @ X12 ) )
=> ! [X16: $i,X18: $i,X20: $i > $i > $o] :
( subset
@ ( dsetconstr @ ( cartprod @ X16 @ X18 )
@ ^ [V_2: $i] :
? [X22: $i] :
( ( in @ X22 @ X16 )
& ? [X24: $i] :
( ( in @ X24 @ X18 )
& ( X20 @ X22 @ X24 )
& ( V_2
= ( kpair @ X22 @ X24 ) ) ) ) )
@ ( cartprod @ X16 @ X18 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) )
=> ( ! [X10: $i,X12: $i] :
( ! [X14: $i] :
( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) )
=> ( subset @ X10 @ X12 ) )
=> ! [X16: $i,X18: $i,X20: $i > $i > $o] :
( subset
@ ( dsetconstr @ ( cartprod @ X16 @ X18 )
@ ^ [V_2: $i] :
? [X22: $i] :
( ( in @ X22 @ X16 )
& ? [X24: $i] :
( ( in @ X24 @ X18 )
& ( X20 @ X22 @ X24 )
& ( V_2
= ( kpair @ X22 @ X24 ) ) ) ) )
@ ( cartprod @ X16 @ X18 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( subset
@ ( dsetconstr @ ( cartprod @ sk__7 @ sk__8 )
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__7 )
& ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ sk__8 )
& ( sk__9 @ Y1 @ Y2 )
& ( Y0
= ( kpair @ Y1 @ Y2 ) ) ) ) ) ) )
@ ( cartprod @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X3: $i,X4: $i] :
( ( subset @ X3 @ X4 )
| ~ ( in @ ( sk__6 @ X4 @ X3 ) @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X3: $i,X4: $i] :
( ( subset @ X3 @ X4 )
| ( in @ ( sk__6 @ X4 @ X3 ) @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( in @ X0 @ X1 )
| ~ ( in @ X0
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( in @ X0 @ X1 )
| ~ ( in @ X0 @ ( dsetconstr @ X1 @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl13,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( subset @ ( dsetconstr @ X1 @ X0 ) @ X2 )
| ( in @ ( sk__6 @ X2 @ ( dsetconstr @ X1 @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl12]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i > $o] :
( ( subset @ ( dsetconstr @ X0 @ X1 ) @ X0 )
| ( subset @ ( dsetconstr @ X0 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl13]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i > $o] : ( subset @ ( dsetconstr @ X0 @ X1 ) @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl25,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU666^2 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4BpyhSTjsr true
% 0.13/0.36 % Computer : n027.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 16:12:08 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.54/0.67 % Total configuration time : 828
% 0.54/0.67 % Estimated wc time : 1656
% 0.54/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.54/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.56/0.77 % Solved by lams/40_c.s.sh.
% 0.56/0.77 % done 12 iterations in 0.015s
% 0.56/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.77 % SZS output start Refutation
% See solution above
% 0.56/0.77
% 0.56/0.77
% 0.56/0.77 % Terminating...
% 1.86/0.87 % Runner terminated.
% 1.89/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------