TSTP Solution File: SWV376+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV376+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Kq5zJGFcxN true
% Computer : n005.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 00:09:27 EDT 2023
% Result : Theorem 1.10s 0.82s
% Output : Refutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 44 ( 9 unt; 14 typ; 0 def)
% Number of atoms : 75 ( 5 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 431 ( 43 ~; 25 |; 2 &; 343 @)
% ( 0 <=>; 11 =>; 7 <=; 0 <~>)
% Maximal formula depth : 16 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 11 con; 0-3 aty)
% Number of variables : 93 ( 0 ^; 93 !; 0 ?; 93 :)
% Comments :
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thf(succ_cpq_type,type,
succ_cpq: $i > $i > $o ).
thf(im_succ_cpq_type,type,
im_succ_cpq: $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(bad_type,type,
bad: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(ok_type,type,
ok: $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(triple_type,type,
triple: $i > $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(l12_induction,axiom,
( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( succ_cpq @ ( triple @ U @ V @ W ) @ ( triple @ X @ Y @ Z ) )
=> ( ~ ( ok @ ( triple @ X @ Y @ Z ) )
=> ~ ( ok @ ( im_succ_cpq @ ( triple @ X @ Y @ Z ) ) ) ) )
=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ok @ ( triple @ X1 @ X2 @ X3 ) )
=> ! [X4: $i,X5: $i,X6: $i] :
( ( succ_cpq @ ( triple @ X1 @ X2 @ X3 ) @ ( triple @ X4 @ X5 @ X6 ) )
=> ~ ( ok @ ( triple @ X4 @ X5 @ X6 ) ) ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ok @ ( triple @ X0 @ X1 @ X2 ) )
| ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
| ~ ( succ_cpq @ ( triple @ X0 @ X1 @ X2 ) @ ( triple @ X3 @ X4 @ X5 ) )
| ( ok @ ( im_succ_cpq @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ) ) ),
inference(cnf,[status(esa)],[l12_induction]) ).
thf('0',plain,
( ( ok @ ( im_succ_cpq @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ) )
| ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ok @ ( triple @ X0 @ X1 @ X2 ) )
| ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
| ~ ( succ_cpq @ ( triple @ X0 @ X1 @ X2 ) @ ( triple @ X3 @ X4 @ X5 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(l12_co,conjecture,
! [U: $i,V: $i,W: $i] :
( ~ ( ok @ ( triple @ U @ V @ W ) )
=> ! [X: $i,Y: $i,Z: $i] :
( ( succ_cpq @ ( triple @ U @ V @ W ) @ ( triple @ X @ Y @ Z ) )
=> ~ ( ok @ ( triple @ X @ Y @ Z ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i,V: $i,W: $i] :
( ~ ( ok @ ( triple @ U @ V @ W ) )
=> ! [X: $i,Y: $i,Z: $i] :
( ( succ_cpq @ ( triple @ U @ V @ W ) @ ( triple @ X @ Y @ Z ) )
=> ~ ( ok @ ( triple @ X @ Y @ Z ) ) ) ),
inference('cnf.neg',[status(esa)],[l12_co]) ).
thf(zip_derived_cl56,plain,
succ_cpq @ ( triple @ sk__6 @ sk__7 @ sk__8 ) @ ( triple @ sk__9 @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax41,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( ok @ ( triple @ U @ V @ W ) )
=> ( W = bad ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = bad )
| ( ok @ ( triple @ X1 @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[ax41]) ).
thf(zip_derived_cl54,plain,
~ ( ok @ ( triple @ sk__6 @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl78,plain,
sk__8 = bad,
inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl54]) ).
thf(zip_derived_cl110,plain,
succ_cpq @ ( triple @ sk__6 @ sk__7 @ bad ) @ ( triple @ sk__9 @ sk__10 @ sk__11 ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl78]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ok @ ( triple @ X0 @ X1 @ X2 ) )
| ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
| ~ ( succ_cpq @ ( triple @ X0 @ X1 @ X2 ) @ ( triple @ X3 @ X4 @ X5 ) )
| ~ ( ok @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ) ),
inference(cnf,[status(esa)],[l12_induction]) ).
thf(zip_derived_cl57,plain,
( ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ok @ ( triple @ X0 @ X1 @ X2 ) )
| ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
| ~ ( succ_cpq @ ( triple @ X0 @ X1 @ X2 ) @ ( triple @ X3 @ X4 @ X5 ) ) )
<= ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ok @ ( triple @ X0 @ X1 @ X2 ) )
| ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
| ~ ( succ_cpq @ ( triple @ X0 @ X1 @ X2 ) @ ( triple @ X3 @ X4 @ X5 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl111,plain,
( ( ( ok @ ( triple @ sk__6 @ sk__7 @ bad ) )
| ~ ( ok @ ( triple @ sk__9 @ sk__10 @ sk__11 ) ) )
<= ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ok @ ( triple @ X0 @ X1 @ X2 ) )
| ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
| ~ ( succ_cpq @ ( triple @ X0 @ X1 @ X2 ) @ ( triple @ X3 @ X4 @ X5 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl57]) ).
thf(ax40,axiom,
! [U: $i,V: $i] :
~ ( ok @ ( triple @ U @ V @ bad ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i] :
~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
inference(cnf,[status(esa)],[ax40]) ).
thf(zip_derived_cl55,plain,
ok @ ( triple @ sk__9 @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ok @ ( triple @ X0 @ X1 @ X2 ) )
| ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
| ~ ( succ_cpq @ ( triple @ X0 @ X1 @ X2 ) @ ( triple @ X3 @ X4 @ X5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl36,zip_derived_cl55]) ).
thf('2',plain,
( ~ ( ok @ ( triple @ sk__3 @ sk__4 @ sk__5 ) )
| ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ok @ ( triple @ X0 @ X1 @ X2 ) )
| ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
| ~ ( succ_cpq @ ( triple @ X0 @ X1 @ X2 ) @ ( triple @ X3 @ X4 @ X5 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl37_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = bad )
| ( ok @ ( triple @ X1 @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[ax41]) ).
thf(zip_derived_cl58,plain,
( ~ ( ok @ ( triple @ sk__3 @ sk__4 @ sk__5 ) )
<= ~ ( ok @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl77,plain,
( ( sk__5 = bad )
<= ~ ( ok @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl58]) ).
thf(zip_derived_cl60,plain,
( ( ok @ ( im_succ_cpq @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ) )
<= ( ok @ ( im_succ_cpq @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl82,plain,
( ( ok @ ( im_succ_cpq @ ( triple @ sk__3 @ sk__4 @ bad ) ) )
<= ( ~ ( ok @ ( triple @ sk__3 @ sk__4 @ sk__5 ) )
& ( ok @ ( im_succ_cpq @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl77,zip_derived_cl60]) ).
thf(l12_l13,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( ok @ ( triple @ U @ V @ W ) )
=> ~ ( ok @ ( im_succ_cpq @ ( triple @ U @ V @ W ) ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ok @ ( im_succ_cpq @ ( triple @ X0 @ X1 @ X2 ) ) )
| ( ok @ ( triple @ X0 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[l12_l13]) ).
thf(zip_derived_cl99,plain,
( ( ok @ ( triple @ sk__3 @ sk__4 @ bad ) )
<= ( ~ ( ok @ ( triple @ sk__3 @ sk__4 @ sk__5 ) )
& ( ok @ ( im_succ_cpq @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl53]) ).
thf(zip_derived_cl36_002,plain,
! [X0: $i,X1: $i] :
~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
inference(cnf,[status(esa)],[ax40]) ).
thf('3',plain,
( ( ok @ ( triple @ sk__3 @ sk__4 @ sk__5 ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl36]) ).
thf(zip_derived_cl113,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV376+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Kq5zJGFcxN true
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 08:48:23 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.19/0.36 % Python version: Python 3.6.8
% 0.19/0.36 % Running in FO mode
% 0.20/0.67 % Total configuration time : 435
% 0.20/0.67 % Estimated wc time : 1092
% 0.20/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.63/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.63/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.63/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.63/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.63/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.63/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.10/0.82 % Solved by fo/fo1_av.sh.
% 1.10/0.82 % done 59 iterations in 0.039s
% 1.10/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.10/0.82 % SZS output start Refutation
% See solution above
% 1.10/0.82
% 1.10/0.82
% 1.10/0.82 % Terminating...
% 1.10/0.87 % Runner terminated.
% 1.55/0.88 % Zipperpin 1.5 exiting
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