%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO556^1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Qzki1RPOhc 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 05:07:55 PM UTC 2025
% Result : Theorem 64.19s 8.78s
% Output : Refutation 64.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 17 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 80 ( 32 equ; 5 cnn)
% Maximal formula atoms : 1 ( 4 avg)
% Number of connectives : 135 ( 18 ~; 11 |; 20 &; 75 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 5 usr; 3 con; 0-3 aty)
% ( 0 !!; 10 ??; 0 @@+; 0 @@-)
% Number of variables : 49 ( 33 ^; 10 !; 6 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf('#l_lift1012_type',type,
'#l_lift1012': $i > $o ).
thf(eps_type,type,
eps: ( $i > $o ) > $i ).
thf('#l_lift1011_type',type,
'#l_lift1011': $i > $o ).
thf(if_type,type,
if: $o > $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $o ).
thf(ifd,axiom,
( if
= ( ^ [B: $o,X: $i,Y: $i] :
( eps
@ ^ [Z: $i] :
( ( B
& ( Z = X ) )
| ( ~ B
& ( Z = Y ) ) ) ) ) ) ).
thf('0',plain,
( if
= ( ^ [B: $o,X: $i,Y: $i] :
( eps
@ ^ [Z: $i] :
( ( B
& ( Z = X ) )
| ( ~ B
& ( Z = Y ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ifd]) ).
thf('1',plain,
( if
= ( ^ [V_1: $o,V_2: $i,V_3: $i] :
( eps
@ ^ [V_4: $i] :
( ( V_1
& ( V_4 = V_2 ) )
| ( ~ V_1
& ( V_4 = V_3 ) ) ) ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
! [P: $i > $o] :
( ( eps @ P )
= ( if
@ ? [X: $i] : ( P @ X )
@ ( eps @ P )
@ ( eps
@ ^ [X: $i] : $false ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $o] :
( ( eps @ X4 )
= ( eps
@ ^ [V_1: $i] :
( ( ( V_1
= ( eps
@ ^ [V_2: $i] : $false ) )
& ~ ? [X8: $i] : ( X4 @ X8 ) )
| ( ( V_1
= ( eps @ X4 ) )
& ? [X6: $i] : ( X4 @ X6 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $o] :
( ( eps @ X4 )
= ( eps
@ ^ [V_1: $i] :
( ( ( V_1
= ( eps
@ ^ [V_2: $i] : $false ) )
& ~ ? [X8: $i] : ( X4 @ X8 ) )
| ( ( V_1
= ( eps @ X4 ) )
& ? [X6: $i] : ( X4 @ X6 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
( ( eps @ sk_ )
!= ( eps
@ ^ [Y0: $i] :
( ( ( Y0
= ( eps
@ ^ [Y1: $i] : $false ) )
& ( (~)
@ ( ??
@ ^ [Y1: $i] : ( sk_ @ Y1 ) ) ) )
| ( ( Y0
= ( eps @ sk_ ) )
& ( ??
@ ^ [Y1: $i] : ( sk_ @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19574,plain,
! [X1: $i] :
~ ( '#l_lift1011' @ X1 ),
define([status(thm)]) ).
thf(zip_derived_cl1_001,plain,
( ( eps @ sk_ )
!= ( eps
@ ^ [Y0: $i] :
( ( ( Y0
= ( eps
@ ^ [Y1: $i] : $false ) )
& ( (~)
@ ( ??
@ ^ [Y1: $i] : ( sk_ @ Y1 ) ) ) )
| ( ( Y0
= ( eps @ sk_ ) )
& ( ??
@ ^ [Y1: $i] : ( sk_ @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1_002,plain,
( ( eps @ sk_ )
!= ( eps
@ ^ [Y0: $i] :
( ( ( Y0
= ( eps
@ ^ [Y1: $i] : $false ) )
& ( (~)
@ ( ??
@ ^ [Y1: $i] : ( sk_ @ Y1 ) ) ) )
| ( ( Y0
= ( eps @ sk_ ) )
& ( ??
@ ^ [Y1: $i] : ( sk_ @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19575,plain,
! [X2: $i] :
( ( '#l_lift1012' @ X2 )
= ( ( ( X2
= ( eps @ '#l_lift1011' ) )
& ( (~)
@ ( ??
@ ^ [Y0: $i] : ( sk_ @ Y0 ) ) ) )
| ( ( X2
= ( eps @ sk_ ) )
& ( ??
@ ^ [Y0: $i] : ( sk_ @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl19574_003,plain,
! [X1: $i] :
~ ( '#l_lift1011' @ X1 ),
define([status(thm)]) ).
thf(zip_derived_cl19576,plain,
( ( eps @ sk_ )
!= ( eps @ '#l_lift1012' ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl1,zip_derived_cl19575,zip_derived_cl19574]) ).
thf(zip_derived_cl19575_004,plain,
! [X2: $i] :
( ( '#l_lift1012' @ X2 )
= ( ( ( X2
= ( eps @ '#l_lift1011' ) )
& ( (~)
@ ( ??
@ ^ [Y0: $i] : ( sk_ @ Y0 ) ) ) )
| ( ( X2
= ( eps @ sk_ ) )
& ( ??
@ ^ [Y0: $i] : ( sk_ @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(choiceax,axiom,
! [P: $i > $o] :
( ? [X: $i] : ( P @ X )
=> ( P @ ( eps @ P ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o,X1: $i] :
( ( X0 @ ( eps @ X0 ) )
| ~ ( X0 @ X1 ) ),
inference(cnf,[status(esa)],[choiceax]) ).
thf(zip_derived_cl19581,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl19574,zip_derived_cl19576,zip_derived_cl19575,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO556^1 : TPTP v9.2.0. Released v5.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Qzki1RPOhc true
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:54:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.55/0.65 % Total configuration time : 828
% 0.55/0.65 % Estimated wc time : 1656
% 0.55/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.58/0.85 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 3.69/1.15 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 22.38/3.44 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 64.19/8.78 % Solved by lams/40_c_ic.sh.
% 64.19/8.78 % done 6376 iterations in 8.009s
% 64.19/8.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 64.19/8.78 % SZS output start Refutation
% See solution above
% 64.19/8.79
% 64.19/8.79
% 64.19/8.79 % Terminating...
% 65.40/8.90 % Runner terminated.
% 65.44/8.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------