%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU794^2 : 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.lqnfDwsEgd true
% Computer : n025.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 04:56:24 PM UTC 2025
% Result : Theorem 23.54s 5.82s
% Output : Refutation 23.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 14 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 113 ( 32 equ; 0 cnn)
% Maximal formula atoms : 34 ( 8 avg)
% Number of connectives : 223 ( 2 ~; 0 |; 18 &; 135 @)
% ( 12 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 6 con; 0-2 aty)
% ( 13 !!; 5 ??; 0 @@+; 0 @@-)
% Number of variables : 88 ( 22 ^; 48 !; 18 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
thf(image1Ex_type,type,
image1Ex: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(subsetI1_type,type,
subsetI1: $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(setextsub_type,type,
setextsub: $o ).
thf(exu_type,type,
exu: ( $i > $o ) > $o ).
thf(image1Ex,axiom,
( image1Ex
= ( ! [A: $i,Xf: $i > $i] :
? [B: $i] :
! [Xx: $i] :
( ( in @ Xx @ B )
<=> ? [Xy: $i] :
( ( Xx
= ( Xf @ Xy ) )
& ( in @ Xy @ A ) ) ) ) ) ).
thf('0',plain,
( image1Ex
= ( ! [X4: $i,X6: $i > $i] :
? [X8: $i] :
! [X10: $i] :
( ( in @ X10 @ X8 )
<=> ? [X12: $i] :
( ( X10
= ( X6 @ X12 ) )
& ( in @ X12 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(setextsub,axiom,
( setextsub
= ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( subset @ B @ A )
=> ( A = B ) ) ) ) ) ).
thf('1',plain,
( setextsub
= ( ! [X4: $i,X6: $i] :
( ( subset @ X4 @ X6 )
=> ( ( subset @ X6 @ X4 )
=> ( X4 = X6 ) ) ) ) ),
define([status(thm)]) ).
thf(subsetI1,axiom,
( subsetI1
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('2',plain,
( subsetI1
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(exu,axiom,
( exu
= ( ^ [Xphi: $i > $o] :
? [Xx: $i] :
( ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) )
& ( Xphi @ Xx ) ) ) ) ).
thf('3',plain,
( exu
= ( ^ [Xphi: $i > $o] :
? [Xx: $i] :
( ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) )
& ( Xphi @ Xx ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[exu]) ).
thf('4',plain,
( exu
= ( ^ [V_1: $i > $o] :
? [X4: $i] :
( ! [X6: $i] :
( ( V_1 @ X6 )
=> ( X4 = X6 ) )
& ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(image1Ex1,conjecture,
( subsetI1
=> ( setextsub
=> ( image1Ex
=> ! [A: $i,Xf: $i > $i] :
( exu
@ ^ [B: $i] :
! [Xx: $i] :
( ( in @ Xx @ B )
<=> ? [Xy: $i] :
( ( Xx
= ( Xf @ Xy ) )
& ( in @ Xy @ A ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) )
=> ( ! [X10: $i,X12: $i] :
( ( subset @ X10 @ X12 )
=> ( ( subset @ X12 @ X10 )
=> ( X10 = X12 ) ) )
=> ( ! [X14: $i,X16: $i > $i] :
? [X18: $i] :
! [X20: $i] :
( ( in @ X20 @ X18 )
<=> ? [X22: $i] :
( ( in @ X22 @ X14 )
& ( X20
= ( X16 @ X22 ) ) ) )
=> ! [X24: $i,X26: $i > $i] :
? [X28: $i] :
( ! [X36: $i] :
( ( in @ X36 @ X28 )
<=> ? [X38: $i] :
( ( in @ X38 @ X24 )
& ( X36
= ( X26 @ X38 ) ) ) )
& ! [X30: $i] :
( ! [X32: $i] :
( ( in @ X32 @ X30 )
<=> ? [X34: $i] :
( ( in @ X34 @ X24 )
& ( X32
= ( X26 @ X34 ) ) ) )
=> ( X28 = X30 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) )
=> ( ! [X10: $i,X12: $i] :
( ( subset @ X10 @ X12 )
=> ( ( subset @ X12 @ X10 )
=> ( X10 = X12 ) ) )
=> ( ! [X14: $i,X16: $i > $i] :
? [X18: $i] :
! [X20: $i] :
( ( in @ X20 @ X18 )
<=> ? [X22: $i] :
( ( in @ X22 @ X14 )
& ( X20
= ( X16 @ X22 ) ) ) )
=> ! [X24: $i,X26: $i > $i] :
? [X28: $i] :
( ! [X36: $i] :
( ( in @ X36 @ X28 )
<=> ? [X38: $i] :
( ( in @ X38 @ X24 )
& ( X36
= ( X26 @ X38 ) ) ) )
& ! [X30: $i] :
( ! [X32: $i] :
( ( in @ X32 @ X30 )
<=> ? [X34: $i] :
( ( in @ X34 @ X24 )
& ( X32
= ( X26 @ X34 ) ) ) )
=> ( X28 = X30 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( subset @ Y1 @ Y0 )
=> ( Y0 = Y1 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $i] :
( ??
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y2 )
<=> ( ??
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
& ( Y3
= ( Y1 @ Y4 ) ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $i] :
( ??
@ ^ [Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y2 )
<=> ( ??
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
& ( Y3
= ( Y1 @ Y4 ) ) ) ) ) )
& ( !!
@ ^ [Y3: $i] :
( ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y3 )
<=> ( ??
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y0 )
& ( Y4
= ( Y1 @ Y5 ) ) ) ) ) )
=> ( Y2 = Y3 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl797,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SEU794^2 : TPTP v9.2.0. Released v3.7.0.
% 0.05/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lqnfDwsEgd true
% 0.12/0.41 % Computer : n025.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8042.1875MB
% 0.12/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Wed Oct 1 16:05:38 EDT 2025
% 0.12/0.42 % CPUTime :
% 0.12/0.42 % Running portfolio for 300 s
% 0.12/0.42 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.43 % Number of cores: 8
% 0.12/0.44 % Python version: Python 3.6.8
% 0.12/0.44 % Running in HO mode
% 0.43/0.74 % Total configuration time : 828
% 0.43/0.74 % Estimated wc time : 1656
% 0.43/0.74 % Estimated cpu time (8 cpus) : 207.0
% 0.45/0.85 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.45/0.92 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.45/0.98 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.45/1.06 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.46/1.09 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.46/1.10 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.46/1.11 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.46/1.13 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 23.54/5.82 % Solved by lams/15_e_short1.sh.
% 23.54/5.82 % done 19 iterations in 4.619s
% 23.54/5.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 23.54/5.82 % SZS output start Refutation
% See solution above
% 23.54/5.82
% 23.54/5.82
% 23.54/5.82 % Terminating...
% 23.82/5.99 % Runner terminated.
% 23.82/6.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------