TSTP Solution File: PUZ108^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ108^5 : TPTP v8.1.2. Bugfixed 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.3x6Y2S1YXA true
% Computer : n029.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 Aug 31 13:31:10 EDT 2023
% Result : Theorem 0.20s 0.76s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 8 unt; 6 typ; 0 def)
% Number of atoms : 31 ( 3 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 171 ( 11 ~; 11 |; 7 &; 125 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 25 ^; 23 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(s_type,type,
s: $i > $i ).
thf(sk__4_type,type,
sk__4: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(cCKB_E2_type,type,
cCKB_E2: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: ( $i > $o ) > $i ).
thf(cCKB_E2_def,axiom,
( cCKB_E2
= ( ^ [Xx: $i,Xy: $i] :
! [Xp: $i > $o] :
( ( ( Xp @ Xx )
& ! [Xu: $i] :
( ( Xp @ Xu )
=> ( Xp @ ( s @ ( s @ Xu ) ) ) ) )
=> ( Xp @ Xy ) ) ) ) ).
thf('0',plain,
( cCKB_E2
= ( ^ [Xx: $i,Xy: $i] :
! [Xp: $i > $o] :
( ( ( Xp @ Xx )
& ! [Xu: $i] :
( ( Xp @ Xu )
=> ( Xp @ ( s @ ( s @ Xu ) ) ) ) )
=> ( Xp @ Xy ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cCKB_E2_def]) ).
thf('1',plain,
( cCKB_E2
= ( ^ [V_1: $i,V_2: $i] :
! [X4: $i > $o] :
( ( ( X4 @ V_1 )
& ! [X6: $i] :
( ( X4 @ X6 )
=> ( X4 @ ( s @ ( s @ X6 ) ) ) ) )
=> ( X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(cCKB_L35000,conjecture,
! [Xx: $i,Xy: $i] :
( ( cCKB_E2 @ Xx @ Xy )
=> ( cCKB_E2 @ ( s @ Xx ) @ ( s @ Xy ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ! [X8: $i > $o] :
( ( ( X8 @ X4 )
& ! [X10: $i] :
( ( X8 @ X10 )
=> ( X8 @ ( s @ ( s @ X10 ) ) ) ) )
=> ( X8 @ X6 ) )
=> ! [X12: $i > $o] :
( ( ( X12 @ ( s @ X4 ) )
& ! [X14: $i] :
( ( X12 @ X14 )
=> ( X12 @ ( s @ ( s @ X14 ) ) ) ) )
=> ( X12 @ ( s @ X6 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ! [X8: $i > $o] :
( ( ( X8 @ X4 )
& ! [X10: $i] :
( ( X8 @ X10 )
=> ( X8 @ ( s @ ( s @ X10 ) ) ) ) )
=> ( X8 @ X6 ) )
=> ! [X12: $i > $o] :
( ( ( X12 @ ( s @ X4 ) )
& ! [X14: $i] :
( ( X12 @ X14 )
=> ( X12 @ ( s @ ( s @ X14 ) ) ) ) )
=> ( X12 @ ( s @ X6 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i > $o] :
( ( X0 @ sk__3 )
| ~ ( X0 @ ( s @ ( s @ ( sk__5 @ X0 ) ) ) )
| ~ ( X0 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X1: $i] :
( ( sk__4 @ ( s @ ( s @ X1 ) ) )
| ~ ( sk__4 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl112,plain,
( ~ ( ^ [Y0: $i] :
( sk__4
@ ( ^ [Y1: $i] :
( s
@ ( ^ [Y2: $i] : Y2
@ Y1 ) )
@ Y0 ) )
@ sk__2 )
| ( ^ [Y0: $i] :
( sk__4
@ ( ^ [Y1: $i] :
( s
@ ( ^ [Y2: $i] : Y2
@ Y1 ) )
@ Y0 ) )
@ sk__3 )
| ~ ( sk__4
@ ( s
@ ( sk__5
@ ^ [Y0: $i] : ( sk__4 @ ( s @ Y0 ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl148,plain,
( ~ ( sk__4 @ ( s @ sk__2 ) )
| ( sk__4 @ ( s @ sk__3 ) )
| ~ ( sk__4
@ ( s
@ ( sk__5
@ ^ [Y0: $i] : ( sk__4 @ ( s @ Y0 ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl4,plain,
sk__4 @ ( s @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( sk__4 @ ( s @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4_001,plain,
sk__4 @ ( s @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o] :
( ( X0 @ sk__3 )
| ( X0 @ ( sk__5 @ X0 ) )
| ~ ( X0 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
( ( ^ [Y0: $i] :
( sk__4
@ ( ^ [Y1: $i] :
( s
@ ( ^ [Y2: $i] : Y2
@ Y1 ) )
@ Y0 ) )
@ ( sk__5
@ ^ [Y0: $i] :
( sk__4
@ ( ^ [Y1: $i] :
( s
@ ( ^ [Y2: $i] : Y2
@ Y1 ) )
@ Y0 ) ) ) )
| ( ^ [Y0: $i] :
( sk__4
@ ( ^ [Y1: $i] :
( s
@ ( ^ [Y2: $i] : Y2
@ Y1 ) )
@ Y0 ) )
@ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl35,plain,
( ( sk__4
@ ( s
@ ( sk__5
@ ^ [Y0: $i] : ( sk__4 @ ( s @ Y0 ) ) ) ) )
| ( sk__4 @ ( s @ sk__3 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl2_002,plain,
~ ( sk__4 @ ( s @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl36,plain,
( sk__4
@ ( s
@ ( sk__5
@ ^ [Y0: $i] : ( sk__4 @ ( s @ Y0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl2]) ).
thf(zip_derived_cl149,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl4,zip_derived_cl2,zip_derived_cl36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ108^5 : TPTP v8.1.2. Bugfixed 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.3x6Y2S1YXA true
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 23:04:25 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
% 0.20/0.34 % Number of cores: 8
% 0.20/0.34 % Python version: Python 3.6.8
% 0.20/0.35 % Running in HO mode
% 0.20/0.65 % Total configuration time : 828
% 0.20/0.65 % Estimated wc time : 1656
% 0.20/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.76 % Solved by lams/40_c_ic.sh.
% 0.20/0.76 % done 7 iterations in 0.024s
% 0.20/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.76 % SZS output start Refutation
% See solution above
% 0.20/0.76
% 0.20/0.76
% 0.20/0.76 % Terminating...
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.84 % Runner terminated.
% 1.46/0.85 % Zipperpin 1.5 exiting
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