%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU674^2 : 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.tUcVyY4w5I true
% Computer : n020.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 04:55:41 PM UTC 2025
% Result : Theorem 0.44s 0.83s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of formulae : 22 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 137 ( 26 equ; 0 cnn)
% Maximal formula atoms : 28 ( 6 avg)
% Number of connectives : 402 ( 2 ~; 0 |; 18 &; 339 @)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 14 usr; 5 con; 0-4 aty)
% ( 10 !!; 2 ??; 0 @@+; 0 @@-)
% Number of variables : 122 ( 80 ^; 35 !; 7 ?; 122 :)
% Comments :
%------------------------------------------------------------------------------
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(ex1_type,type,
ex1: $i > ( $i > $o ) > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $o ).
thf(breln_type,type,
breln: $i > $i > $i > $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(func_type,type,
func: $i > $i > $i > $o ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(setunion_type,type,
setunion: $i > $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(apProp_type,type,
apProp: $o ).
thf(ap_type,type,
ap: $i > $i > $i > $i > $i ).
thf(ap,axiom,
( ap
= ( ^ [A: $i,B: $i,Xf: $i,Xx: $i] :
( setunion
@ ( dsetconstr @ B
@ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ Xf ) ) ) ) ) ).
thf('0',plain,
( ap
= ( ^ [A: $i,B: $i,Xf: $i,Xx: $i] :
( setunion
@ ( dsetconstr @ B
@ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ Xf ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ap]) ).
thf('1',plain,
( ap
= ( ^ [V_1: $i,V_2: $i,V_3: $i,V_4: $i] :
( setunion
@ ( dsetconstr @ V_2
@ ^ [V_5: $i] : ( in @ ( kpair @ V_4 @ V_5 ) @ V_3 ) ) ) ) ),
define([status(thm)]) ).
thf(apProp,axiom,
( apProp
= ( ! [A: $i,B: $i,Xf: $i] :
( ( func @ A @ B @ Xf )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in
@ ( setunion
@ ( dsetconstr @ B
@ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ Xf ) ) )
@ B ) ) ) ) ) ).
thf('2',plain,
( apProp
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( func @ X4 @ X6 @ X8 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( in
@ ( setunion
@ ( dsetconstr @ X6
@ ^ [V_1: $i] : ( in @ ( kpair @ X10 @ V_1 ) @ X8 ) ) )
@ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(func,axiom,
( func
= ( ^ [A: $i,B: $i,R: $i] :
( ( breln @ A @ B @ R )
& ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ex1 @ B
@ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) ) ) ) ).
thf(breln,axiom,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).
thf('3',plain,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln]) ).
thf('4',plain,
( breln
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(ex1,axiom,
( ex1
= ( ^ [A: $i,Xphi: $i > $o] :
( singleton
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
thf(singleton,axiom,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ) ).
thf('5',plain,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[singleton]) ).
thf('6',plain,
( singleton
= ( ^ [V_1: $i] :
? [X4: $i] :
( ( V_1
= ( setadjoin @ X4 @ emptyset ) )
& ( in @ X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf('7',plain,
( ex1
= ( ^ [A: $i,Xphi: $i > $o] :
( singleton
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ex1,'6']) ).
thf('8',plain,
( ex1
= ( ^ [V_1: $i,V_2: $i > $o] :
( singleton
@ ( dsetconstr @ V_1
@ ^ [V_3: $i] : ( V_2 @ V_3 ) ) ) ) ),
define([status(thm)]) ).
thf('9',plain,
( func
= ( ^ [A: $i,B: $i,R: $i] :
( ( breln @ A @ B @ R )
& ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ex1 @ B
@ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[func,'4','8','6']) ).
thf('10',plain,
( func
= ( ^ [V_1: $i,V_2: $i,V_3: $i] :
( ( breln @ V_1 @ V_2 @ V_3 )
& ! [X4: $i] :
( ( in @ X4 @ V_1 )
=> ( ex1 @ V_2
@ ^ [V_4: $i] : ( in @ ( kpair @ X4 @ V_4 ) @ V_3 ) ) ) ) ) ),
define([status(thm)]) ).
thf(app,conjecture,
( apProp
=> ! [A: $i,B: $i,Xf: $i] :
( ( func @ A @ B @ Xf )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ ( ap @ A @ B @ Xf @ Xx ) @ B ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ? [X12: $i] :
( ( in @ X12
@ ( dsetconstr @ X6
@ ^ [V_2: $i] : ( in @ ( kpair @ X10 @ V_2 ) @ X8 ) ) )
& ( ( dsetconstr @ X6
@ ^ [V_1: $i] : ( in @ ( kpair @ X10 @ V_1 ) @ X8 ) )
= ( setadjoin @ X12 @ emptyset ) ) ) )
& ( subset @ X8 @ ( cartprod @ X4 @ X6 ) ) )
=> ! [X14: $i] :
( ( in @ X14 @ X4 )
=> ( in
@ ( setunion
@ ( dsetconstr @ X6
@ ^ [V_3: $i] : ( in @ ( kpair @ X14 @ V_3 ) @ X8 ) ) )
@ X6 ) ) )
=> ! [X16: $i,X18: $i,X20: $i] :
( ( ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ? [X24: $i] :
( ( in @ X24
@ ( dsetconstr @ X18
@ ^ [V_5: $i] : ( in @ ( kpair @ X22 @ V_5 ) @ X20 ) ) )
& ( ( dsetconstr @ X18
@ ^ [V_4: $i] : ( in @ ( kpair @ X22 @ V_4 ) @ X20 ) )
= ( setadjoin @ X24 @ emptyset ) ) ) )
& ( subset @ X20 @ ( cartprod @ X16 @ X18 ) ) )
=> ! [X26: $i] :
( ( in @ X26 @ X16 )
=> ( in
@ ( setunion
@ ( dsetconstr @ X18
@ ^ [V_6: $i] : ( in @ ( kpair @ X26 @ V_6 ) @ X20 ) ) )
@ X18 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ? [X12: $i] :
( ( in @ X12
@ ( dsetconstr @ X6
@ ^ [V_2: $i] : ( in @ ( kpair @ X10 @ V_2 ) @ X8 ) ) )
& ( ( dsetconstr @ X6
@ ^ [V_1: $i] : ( in @ ( kpair @ X10 @ V_1 ) @ X8 ) )
= ( setadjoin @ X12 @ emptyset ) ) ) )
& ( subset @ X8 @ ( cartprod @ X4 @ X6 ) ) )
=> ! [X14: $i] :
( ( in @ X14 @ X4 )
=> ( in
@ ( setunion
@ ( dsetconstr @ X6
@ ^ [V_3: $i] : ( in @ ( kpair @ X14 @ V_3 ) @ X8 ) ) )
@ X6 ) ) )
=> ! [X16: $i,X18: $i,X20: $i] :
( ( ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ? [X24: $i] :
( ( in @ X24
@ ( dsetconstr @ X18
@ ^ [V_5: $i] : ( in @ ( kpair @ X22 @ V_5 ) @ X20 ) ) )
& ( ( dsetconstr @ X18
@ ^ [V_4: $i] : ( in @ ( kpair @ X22 @ V_4 ) @ X20 ) )
= ( setadjoin @ X24 @ emptyset ) ) ) )
& ( subset @ X20 @ ( cartprod @ X16 @ X18 ) ) )
=> ! [X26: $i] :
( ( in @ X26 @ X16 )
=> ( in
@ ( setunion
@ ( dsetconstr @ X18
@ ^ [V_6: $i] : ( in @ ( kpair @ X26 @ V_6 ) @ X20 ) ) )
@ X18 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ??
@ ^ [Y4: $i] :
( ( in @ Y4
@ ( dsetconstr @ Y1
@ ^ [Y5: $i] : ( in @ ( kpair @ Y3 @ Y5 ) @ Y2 ) ) )
& ( ( dsetconstr @ Y1
@ ^ [Y5: $i] : ( in @ ( kpair @ Y3 @ Y5 ) @ Y2 ) )
= ( setadjoin @ Y4 @ emptyset ) ) ) ) ) )
& ( subset @ Y2 @ ( cartprod @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( in
@ ( setunion
@ ( dsetconstr @ Y1
@ ^ [Y4: $i] : ( in @ ( kpair @ Y3 @ Y4 ) @ Y2 ) ) )
@ Y1 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ??
@ ^ [Y4: $i] :
( ( in @ Y4
@ ( dsetconstr @ Y1
@ ^ [Y5: $i] : ( in @ ( kpair @ Y3 @ Y5 ) @ Y2 ) ) )
& ( ( dsetconstr @ Y1
@ ^ [Y5: $i] : ( in @ ( kpair @ Y3 @ Y5 ) @ Y2 ) )
= ( setadjoin @ Y4 @ emptyset ) ) ) ) ) )
& ( subset @ Y2 @ ( cartprod @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( in
@ ( setunion
@ ( dsetconstr @ Y1
@ ^ [Y4: $i] : ( in @ ( kpair @ Y3 @ Y4 ) @ Y2 ) ) )
@ Y1 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU674^2 : TPTP v9.2.0. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tUcVyY4w5I true
% 0.10/0.33 % Computer : n020.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Wed Oct 1 16:01:08 EDT 2025
% 0.10/0.33 % CPUTime :
% 0.10/0.33 % Running portfolio for 300 s
% 0.10/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.33 % Number of cores: 8
% 0.10/0.34 % Python version: Python 3.6.8
% 0.16/0.36 % Running in HO mode
% 0.44/0.63 % Total configuration time : 828
% 0.44/0.63 % Estimated wc time : 1656
% 0.44/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.44/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.44/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.44/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.44/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.44/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.44/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.44/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.44/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.44/0.83 % Solved by lams/15_e_short1.sh.
% 0.44/0.83 % done 0 iterations in 0.022s
% 0.44/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.44/0.83 % SZS output start Refutation
% See solution above
% 0.44/0.83
% 0.44/0.83
% 0.44/0.83 % Terminating...
% 0.49/0.92 % Runner terminated.
% 1.82/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------