TSTP Solution File: SYO556^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO556^1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sHOaJxTDP7 true
% Computer : n006.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 : Fri Sep 1 05:52:04 EDT 2023
% Result : Theorem 63.29s 8.83s
% Output : Refutation 63.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of formulae : 22 ( 15 unt; 5 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 : 13 ( 13 >; 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_cl19392,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_cl19393,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_cl19392_003,plain,
! [X1: $i] :
~ ( '#l_lift1011' @ X1 ),
define([status(thm)]) ).
thf(zip_derived_cl19394,plain,
( ( eps @ sk_ )
!= ( eps @ '#l_lift1012' ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl1,zip_derived_cl19393,zip_derived_cl19392]) ).
thf(zip_derived_cl19393_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_cl19399,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl19392,zip_derived_cl19394,zip_derived_cl19393,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO556^1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sHOaJxTDP7 true
% 0.13/0.34 % Computer : n006.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 : Sat Aug 26 07:22:07 EDT 2023
% 0.20/0.34 % CPUTime :
% 0.20/0.34 % Running portfolio for 300 s
% 0.20/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in HO mode
% 0.20/0.68 % Total configuration time : 828
% 0.20/0.68 % Estimated wc time : 1656
% 0.20/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.77/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.77/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.77/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.77/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.77/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.77/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.77/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.46/0.81 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.46/0.83 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 1.51/1.19 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 20.26/3.26 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 63.29/8.83 % Solved by lams/40_c_ic.sh.
% 63.29/8.83 % done 6338 iterations in 8.016s
% 63.29/8.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 63.29/8.83 % SZS output start Refutation
% See solution above
% 63.29/8.83
% 63.29/8.83
% 63.29/8.83 % Terminating...
% 63.29/8.90 % Runner terminated.
% 63.32/8.91 % Zipperpin 1.5 exiting
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