TSTP Solution File: SEU494^1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU494^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rd1kt6h9vr 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 : Thu Aug 31 19:13:18 EDT 2023
% Result : Theorem 1.26s 0.80s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 47 ( 21 unt; 10 typ; 0 def)
% Number of atoms : 72 ( 12 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 232 ( 23 ~; 17 |; 14 &; 161 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 46 ( 46 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 66 ( 18 ^; 48 !; 0 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(so_type,type,
so: ( $i > $i > $o ) > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(inv_type,type,
inv: ( $i > $i > $o ) > $i > $i > $o ).
thf(trans_type,type,
trans: ( $i > $i > $o ) > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(asymm_type,type,
asymm: ( $i > $i > $o ) > $o ).
thf(sk__8_type,type,
sk__8: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(strict_order,axiom,
( so
= ( ^ [R: $i > $i > $o] :
( ( asymm @ R )
& ( trans @ R ) ) ) ) ).
thf(transitive,axiom,
( trans
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ) ).
thf('0',plain,
( trans
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitive]) ).
thf('1',plain,
( trans
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X6 @ X8 ) )
=> ( V_1 @ X4 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(asymmetric,axiom,
( asymm
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ~ ( R @ Y @ X ) ) ) ) ).
thf('2',plain,
( asymm
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ~ ( R @ Y @ X ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[asymmetric]) ).
thf('3',plain,
( asymm
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ~ ( V_1 @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf('4',plain,
( so
= ( ^ [R: $i > $i > $o] :
( ( asymm @ R )
& ( trans @ R ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[strict_order,'1','3']) ).
thf('5',plain,
( so
= ( ^ [V_1: $i > $i > $o] :
( ( asymm @ V_1 )
& ( trans @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(inverse,axiom,
( inv
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] : ( R @ Y @ X ) ) ) ).
thf('6',plain,
( inv
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] : ( R @ Y @ X ) ) ),
inference(simplify_rw_rule,[status(thm)],[inverse]) ).
thf('7',plain,
( inv
= ( ^ [V_1: $i > $i > $o,V_2: $i,V_3: $i] : ( V_1 @ V_3 @ V_2 ) ) ),
define([status(thm)]) ).
thf(inverse_of_strict_order_is_strict_order,conjecture,
! [R: $i > $i > $o] :
( ( so @ R )
=> ( so @ ( inv @ R ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o] :
( ( ! [X6: $i,X8: $i] :
( ( X4 @ X6 @ X8 )
=> ~ ( X4 @ X8 @ X6 ) )
& ! [X10: $i,X12: $i,X14: $i] :
( ( ( X4 @ X10 @ X12 )
& ( X4 @ X12 @ X14 ) )
=> ( X4 @ X10 @ X14 ) ) )
=> ( ! [X16: $i,X18: $i] :
( ( X4 @ X18 @ X16 )
=> ~ ( X4 @ X16 @ X18 ) )
& ! [X20: $i,X22: $i,X24: $i] :
( ( ( X4 @ X22 @ X20 )
& ( X4 @ X24 @ X22 ) )
=> ( X4 @ X24 @ X20 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o] :
( ( ! [X6: $i,X8: $i] :
( ( X4 @ X6 @ X8 )
=> ~ ( X4 @ X8 @ X6 ) )
& ! [X10: $i,X12: $i,X14: $i] :
( ( ( X4 @ X10 @ X12 )
& ( X4 @ X12 @ X14 ) )
=> ( X4 @ X10 @ X14 ) ) )
=> ( ! [X16: $i,X18: $i] :
( ( X4 @ X18 @ X16 )
=> ~ ( X4 @ X16 @ X18 ) )
& ! [X20: $i,X22: $i,X24: $i] :
( ( ( X4 @ X22 @ X20 )
& ( X4 @ X24 @ X22 ) )
=> ( X4 @ X24 @ X20 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
( ( sk__8 @ sk__9 @ sk__10 )
| ( sk__8 @ sk__13 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
( ( sk__8 @ sk__10 @ sk__9 )
| ( sk__8 @ sk__12 @ sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
( ( sk__8 @ sk__10 @ sk__9 )
| ( sk__8 @ sk__13 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( sk__8 @ X2 @ X3 )
| ~ ( sk__8 @ X3 @ X4 )
| ( sk__8 @ X2 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( sk__8 @ sk__10 @ sk__9 )
| ( sk__8 @ sk__13 @ X0 )
| ~ ( sk__8 @ sk__12 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).
thf(zip_derived_cl30,plain,
( ( sk__8 @ sk__10 @ sk__9 )
| ( sk__8 @ sk__13 @ sk__11 )
| ( sk__8 @ sk__10 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl18]) ).
thf(zip_derived_cl34,plain,
( ( sk__8 @ sk__13 @ sk__11 )
| ( sk__8 @ sk__10 @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl7,plain,
( ( sk__8 @ sk__10 @ sk__9 )
| ~ ( sk__8 @ sk__13 @ sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl36,plain,
sk__8 @ sk__10 @ sk__9,
inference(clc,[status(thm)],[zip_derived_cl34,zip_derived_cl7]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( sk__8 @ X0 @ X1 )
| ~ ( sk__8 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl38,plain,
~ ( sk__8 @ sk__9 @ sk__10 ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl0]) ).
thf(zip_derived_cl43,plain,
sk__8 @ sk__13 @ sk__12,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl38]) ).
thf(zip_derived_cl1_001,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( sk__8 @ X2 @ X3 )
| ~ ( sk__8 @ X3 @ X4 )
| ( sk__8 @ X2 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( ( sk__8 @ sk__13 @ X0 )
| ~ ( sk__8 @ sk__12 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
( ( sk__8 @ sk__9 @ sk__10 )
| ~ ( sk__8 @ sk__13 @ sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl38_002,plain,
~ ( sk__8 @ sk__9 @ sk__10 ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl0]) ).
thf(zip_derived_cl44,plain,
~ ( sk__8 @ sk__13 @ sk__11 ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl38]) ).
thf(zip_derived_cl69,plain,
~ ( sk__8 @ sk__12 @ sk__11 ),
inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl44]) ).
thf(zip_derived_cl2,plain,
( ( sk__8 @ sk__9 @ sk__10 )
| ( sk__8 @ sk__12 @ sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl38_003,plain,
~ ( sk__8 @ sk__9 @ sk__10 ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl0]) ).
thf(zip_derived_cl42,plain,
sk__8 @ sk__12 @ sk__11,
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl38]) ).
thf(zip_derived_cl77,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU494^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rd1kt6h9vr true
% 0.17/0.34 % Computer : n006.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Wed Aug 23 18:49:38 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.17/0.34 % Running portfolio for 300 s
% 0.17/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.35 % Running in HO mode
% 0.20/0.67 % Total configuration time : 828
% 0.20/0.67 % Estimated wc time : 1656
% 0.20/0.67 % Estimated cpu time (8 cpus) : 207.0
% 1.26/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.26/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.26/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.26/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.26/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.26/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.26/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.26/0.80 % Solved by lams/40_c.s.sh.
% 1.26/0.80 % done 46 iterations in 0.025s
% 1.26/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.26/0.80 % SZS output start Refutation
% See solution above
% 1.26/0.80
% 1.26/0.80
% 1.26/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.26/0.80 % Terminating...
% 1.45/0.86 % Runner terminated.
% 1.45/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------