%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU796^2 : 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.MuSCv0gdlU 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 04:56:24 PM UTC 2025
% Result : Theorem 0.58s 0.80s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 16 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 161 ( 13 ~; 7 |; 7 &; 124 @)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 53 ( 10 ^; 36 !; 7 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(image1Equiv_type,type,
image1Equiv: $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__8_type,type,
sk__8: $i > ( $i > $i ) > $i > $i ).
thf(image1_type,type,
image1: $i > ( $i > $i ) > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(image1Equiv,axiom,
( image1Equiv
= ( ! [A: $i,Xf: $i > $i,Xx: $i] :
( ( in @ Xx
@ ( image1 @ A
@ ^ [Xy: $i] : ( Xf @ Xy ) ) )
<=> ? [Xy: $i] :
( ( Xx
= ( Xf @ Xy ) )
& ( in @ Xy @ A ) ) ) ) ) ).
thf('0',plain,
( image1Equiv
= ( ! [X4: $i,X6: $i > $i,X8: $i] :
( ( in @ X8
@ ( image1 @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
<=> ? [X10: $i] :
( ( X8
= ( X6 @ X10 ) )
& ( in @ X10 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(image1E,conjecture,
( image1Equiv
=> ! [A: $i,Xf: $i > $i,Xx: $i] :
( ( in @ Xx
@ ( image1 @ A
@ ^ [Xy: $i] : ( Xf @ Xy ) ) )
=> ? [Xy: $i] :
( ( Xx
= ( Xf @ Xy ) )
& ( in @ Xy @ A ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $i,X8: $i] :
( ( in @ X8
@ ( image1 @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
<=> ? [X10: $i] :
( ( X8
= ( X6 @ X10 ) )
& ( in @ X10 @ X4 ) ) )
=> ! [X12: $i,X14: $i > $i,X16: $i] :
( ( in @ X16
@ ( image1 @ X12
@ ^ [V_2: $i] : ( X14 @ V_2 ) ) )
=> ? [X18: $i] :
( ( X16
= ( X14 @ X18 ) )
& ( in @ X18 @ X12 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $i,X8: $i] :
( ( in @ X8
@ ( image1 @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
<=> ? [X10: $i] :
( ( X8
= ( X6 @ X10 ) )
& ( in @ X10 @ X4 ) ) )
=> ! [X12: $i,X14: $i > $i,X16: $i] :
( ( in @ X16
@ ( image1 @ X12
@ ^ [V_2: $i] : ( X14 @ V_2 ) ) )
=> ? [X18: $i] :
( ( X16
= ( X14 @ X18 ) )
& ( in @ X18 @ X12 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X1: $i,X2: $i > $i,X4: $i] :
( ( X4
= ( X2 @ ( sk__8 @ X4 @ X2 @ X1 ) ) )
| ~ ( in @ X4
@ ( image1 @ X1
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl37,plain,
! [X1: $i,X2: $i > $i,X4: $i] :
( ( X4
= ( X2 @ ( sk__8 @ X4 @ X2 @ X1 ) ) )
| ~ ( in @ X4 @ ( image1 @ X1 @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
( in @ sk__7
@ ( image1 @ sk__5
@ ^ [Y0: $i] : ( sk__6 @ Y0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
in @ sk__7 @ ( image1 @ sk__5 @ sk__6 ),
inference(ho_norm,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl2,plain,
! [X1: $i,X2: $i > $i,X4: $i] :
( ( in @ ( sk__8 @ X4 @ X2 @ X1 ) @ X1 )
| ~ ( in @ X4
@ ( image1 @ X1
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X1: $i,X2: $i > $i,X4: $i] :
( ( in @ ( sk__8 @ X4 @ X2 @ X1 ) @ X1 )
| ~ ( in @ X4 @ ( image1 @ X1 @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl3,plain,
! [X5: $i] :
( ( sk__7
!= ( sk__6 @ X5 ) )
| ~ ( in @ X5 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X0: $i > $i,X1: $i] :
( ~ ( in @ X1 @ ( image1 @ sk__5 @ X0 ) )
| ( sk__7
!= ( sk__6 @ ( sk__8 @ X1 @ X0 @ sk__5 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl3]) ).
thf(zip_derived_cl32,plain,
( sk__7
!= ( sk__6 @ ( sk__8 @ sk__7 @ sk__6 @ sk__5 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl68,plain,
( ( sk__7 != sk__7 )
| ~ ( in @ sk__7 @ ( image1 @ sk__5 @ sk__6 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl32]) ).
thf(zip_derived_cl5_001,plain,
in @ sk__7 @ ( image1 @ sk__5 @ sk__6 ),
inference(ho_norm,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl83,plain,
sk__7 != sk__7,
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl5]) ).
thf(zip_derived_cl84,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU796^2 : TPTP v9.2.0. Released v3.7.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MuSCv0gdlU true
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:10:08 EDT 2025
% 0.20/0.35 % CPUTime :
% 0.20/0.35 % Running portfolio for 300 s
% 0.20/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.36 % Python version: Python 3.6.8
% 0.20/0.36 % Running in HO mode
% 0.58/0.67 % Total configuration time : 828
% 0.58/0.67 % Estimated wc time : 1656
% 0.58/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.80 % Solved by lams/40_c_ic.sh.
% 0.58/0.80 % done 12 iterations in 0.047s
% 0.58/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.80 % SZS output start Refutation
% See solution above
% 0.58/0.80
% 0.58/0.80
% 0.58/0.80 % Terminating...
% 0.61/0.86 % Runner terminated.
% 0.61/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------