TSTP Solution File: SEU689^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU689^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wwVLARskNe true
% Computer : n001.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 19:16:14 EDT 2023
% Result : Theorem 8.64s 1.71s
% Output : Refutation 8.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 49 ( 15 unt; 14 typ; 0 def)
% Number of atoms : 141 ( 7 equ; 0 cnn)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 597 ( 35 ~; 41 |; 0 &; 465 @)
% ( 0 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 127 ( 29 ^; 98 !; 0 ?; 127 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__12_type,type,
sk__12: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(breln_type,type,
breln: $i > $i > $i > $o ).
thf(sk__10_type,type,
sk__10: ( $i > $o ) > $i > $i > $i > $i ).
thf(subsetI1_type,type,
subsetI1: $o ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__16_type,type,
sk__16: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: ( $i > $o ) > $i > $i > $i > $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(brelnall1_type,type,
brelnall1: $o ).
thf(brelnall1,axiom,
( brelnall1
= ( ! [A: $i,B: $i,R: $i] :
( ( breln @ A @ B @ R )
=> ! [Xphi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ R )
=> ( Xphi @ ( kpair @ Xx @ Xy ) ) ) ) )
=> ! [Xx: $i] :
( ( in @ Xx @ R )
=> ( Xphi @ Xx ) ) ) ) ) ) ).
thf('0',plain,
( brelnall1
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( breln @ X4 @ X6 @ X8 )
=> ! [X10: $i > $o] :
( ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ! [X14: $i] :
( ( in @ X14 @ X6 )
=> ( ( in @ ( kpair @ X12 @ X14 ) @ X8 )
=> ( X10 @ ( kpair @ X12 @ X14 ) ) ) ) )
=> ! [X16: $i] :
( ( in @ X16 @ X8 )
=> ( X10 @ X16 ) ) ) ) ) ),
define([status(thm)]) ).
thf(breln,axiom,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).
thf('1',plain,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln]) ).
thf('2',plain,
( breln
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(subsetI1,axiom,
( subsetI1
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('3',plain,
( subsetI1
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(subbreln,conjecture,
( subsetI1
=> ( brelnall1
=> ! [A: $i,B: $i,R: $i] :
( ( breln @ A @ B @ R )
=> ! [S: $i] :
( ( breln @ A @ B @ S )
=> ( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ R )
=> ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) )
=> ( subset @ R @ S ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( subset @ X14 @ ( cartprod @ X10 @ X12 ) )
=> ! [X16: $i > $o] :
( ! [X18: $i] :
( ( in @ X18 @ X10 )
=> ! [X20: $i] :
( ( in @ X20 @ X12 )
=> ( ( in @ ( kpair @ X18 @ X20 ) @ X14 )
=> ( X16 @ ( kpair @ X18 @ X20 ) ) ) ) )
=> ! [X22: $i] :
( ( in @ X22 @ X14 )
=> ( X16 @ X22 ) ) ) )
=> ! [X24: $i,X26: $i,X28: $i] :
( ( subset @ X28 @ ( cartprod @ X24 @ X26 ) )
=> ! [X30: $i] :
( ( subset @ X30 @ ( cartprod @ X24 @ X26 ) )
=> ( ! [X32: $i] :
( ( in @ X32 @ X24 )
=> ! [X34: $i] :
( ( in @ X34 @ X26 )
=> ( ( in @ ( kpair @ X32 @ X34 ) @ X28 )
=> ( in @ ( kpair @ X32 @ X34 ) @ X30 ) ) ) )
=> ( subset @ X28 @ X30 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( subset @ X14 @ ( cartprod @ X10 @ X12 ) )
=> ! [X16: $i > $o] :
( ! [X18: $i] :
( ( in @ X18 @ X10 )
=> ! [X20: $i] :
( ( in @ X20 @ X12 )
=> ( ( in @ ( kpair @ X18 @ X20 ) @ X14 )
=> ( X16 @ ( kpair @ X18 @ X20 ) ) ) ) )
=> ! [X22: $i] :
( ( in @ X22 @ X14 )
=> ( X16 @ X22 ) ) ) )
=> ! [X24: $i,X26: $i,X28: $i] :
( ( subset @ X28 @ ( cartprod @ X24 @ X26 ) )
=> ! [X30: $i] :
( ( subset @ X30 @ ( cartprod @ X24 @ X26 ) )
=> ( ! [X32: $i] :
( ( in @ X32 @ X24 )
=> ! [X34: $i] :
( ( in @ X34 @ X26 )
=> ( ( in @ ( kpair @ X32 @ X34 ) @ X28 )
=> ( in @ ( kpair @ X32 @ X34 ) @ X30 ) ) ) )
=> ( subset @ X28 @ X30 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
~ ( subset @ sk__14 @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__16 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X2: $i,X3: $i] :
( ~ ( in @ X2 @ sk__13 )
| ( in @ ( kpair @ X3 @ X2 ) @ sk__15 )
| ~ ( in @ ( kpair @ X3 @ X2 ) @ sk__14 )
| ~ ( in @ X3 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
subset @ sk__14 @ ( cartprod @ sk__12 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X4: $i > $o,X5: $i,X6: $i,X7: $i,X8: $i] :
( ~ ( X4 @ ( kpair @ ( sk__10 @ X4 @ X5 @ X6 @ X7 ) @ ( sk__11 @ X4 @ X5 @ X6 @ X7 ) ) )
| ( X4 @ X8 )
| ~ ( in @ X8 @ X5 )
| ~ ( subset @ X5 @ ( cartprod @ X7 @ X6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( in @ X0 @ sk__14 )
| ( X1 @ X0 )
| ~ ( X1 @ ( kpair @ ( sk__10 @ X1 @ sk__14 @ sk__13 @ sk__12 ) @ ( sk__11 @ X1 @ sk__14 @ sk__13 @ sk__12 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl916,plain,
! [X0: $i] :
( ~ ( in
@ ( sk__10
@ ^ [Y0: $i] :
( in @ Y0
@ ( ^ [Y1: $i] : sk__15
@ Y0 ) )
@ sk__14
@ sk__13
@ sk__12 )
@ sk__12 )
| ~ ( in
@ ( kpair
@ ( sk__10
@ ^ [Y0: $i] :
( in @ Y0
@ ( ^ [Y1: $i] : sk__15
@ Y0 ) )
@ sk__14
@ sk__13
@ sk__12 )
@ ( sk__11
@ ^ [Y0: $i] :
( in @ Y0
@ ( ^ [Y1: $i] : sk__15
@ Y0 ) )
@ sk__14
@ sk__13
@ sk__12 ) )
@ sk__14 )
| ~ ( in
@ ( sk__11
@ ^ [Y0: $i] :
( in @ Y0
@ ( ^ [Y1: $i] : sk__15
@ Y0 ) )
@ sk__14
@ sk__13
@ sk__12 )
@ sk__13 )
| ( ^ [Y0: $i] :
( in
@ ( ^ [Y1: $i] : Y1
@ Y0 )
@ ( ^ [Y1: $i] : sk__15
@ Y0 ) )
@ X0 )
| ~ ( in @ X0 @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl59]) ).
thf(zip_derived_cl964,plain,
! [X0: $i] :
( ~ ( in
@ ( sk__10
@ ^ [Y0: $i] : ( in @ Y0 @ sk__15 )
@ sk__14
@ sk__13
@ sk__12 )
@ sk__12 )
| ~ ( in
@ ( kpair
@ ( sk__10
@ ^ [Y0: $i] : ( in @ Y0 @ sk__15 )
@ sk__14
@ sk__13
@ sk__12 )
@ ( sk__11
@ ^ [Y0: $i] : ( in @ Y0 @ sk__15 )
@ sk__14
@ sk__13
@ sk__12 ) )
@ sk__14 )
| ~ ( in
@ ( sk__11
@ ^ [Y0: $i] : ( in @ Y0 @ sk__15 )
@ sk__14
@ sk__13
@ sk__12 )
@ sk__13 )
| ( in @ X0 @ sk__15 )
| ~ ( in @ X0 @ sk__14 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl916]) ).
thf(zip_derived_cl5_001,plain,
subset @ sk__14 @ ( cartprod @ sk__12 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X4: $i > $o,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( in @ ( sk__10 @ X4 @ X5 @ X6 @ X7 ) @ X7 )
| ( X4 @ X8 )
| ~ ( in @ X8 @ X5 )
| ~ ( subset @ X5 @ ( cartprod @ X7 @ X6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl190,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( in @ X0 @ sk__14 )
| ( X1 @ X0 )
| ( in @ ( sk__10 @ X1 @ sk__14 @ sk__13 @ sk__12 ) @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl9]) ).
thf(zip_derived_cl1011,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__14 )
| ( in @ X0 @ sk__15 )
| ~ ( in
@ ( sk__11
@ ^ [Y0: $i] : ( in @ Y0 @ sk__15 )
@ sk__14
@ sk__13
@ sk__12 )
@ sk__13 )
| ~ ( in
@ ( kpair
@ ( sk__10
@ ^ [Y0: $i] : ( in @ Y0 @ sk__15 )
@ sk__14
@ sk__13
@ sk__12 )
@ ( sk__11
@ ^ [Y0: $i] : ( in @ Y0 @ sk__15 )
@ sk__14
@ sk__13
@ sk__12 ) )
@ sk__14 ) ),
inference(clc,[status(thm)],[zip_derived_cl964,zip_derived_cl190]) ).
thf(zip_derived_cl5_002,plain,
subset @ sk__14 @ ( cartprod @ sk__12 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X4: $i > $o,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( in @ ( sk__11 @ X4 @ X5 @ X6 @ X7 ) @ X6 )
| ( X4 @ X8 )
| ~ ( in @ X8 @ X5 )
| ~ ( subset @ X5 @ ( cartprod @ X7 @ X6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( in @ X0 @ sk__14 )
| ( X1 @ X0 )
| ( in @ ( sk__11 @ X1 @ sk__14 @ sk__13 @ sk__12 ) @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl6]) ).
thf(zip_derived_cl1012,plain,
! [X0: $i] :
( ~ ( in
@ ( kpair
@ ( sk__10
@ ^ [Y0: $i] : ( in @ Y0 @ sk__15 )
@ sk__14
@ sk__13
@ sk__12 )
@ ( sk__11
@ ^ [Y0: $i] : ( in @ Y0 @ sk__15 )
@ sk__14
@ sk__13
@ sk__12 ) )
@ sk__14 )
| ( in @ X0 @ sk__15 )
| ~ ( in @ X0 @ sk__14 ) ),
inference(clc,[status(thm)],[zip_derived_cl1011,zip_derived_cl19]) ).
thf(zip_derived_cl5_003,plain,
subset @ sk__14 @ ( cartprod @ sk__12 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X4: $i > $o,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( in @ ( kpair @ ( sk__10 @ X4 @ X5 @ X6 @ X7 ) @ ( sk__11 @ X4 @ X5 @ X6 @ X7 ) ) @ X5 )
| ( X4 @ X8 )
| ~ ( in @ X8 @ X5 )
| ~ ( subset @ X5 @ ( cartprod @ X7 @ X6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl294,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( in @ X0 @ sk__14 )
| ( X1 @ X0 )
| ( in @ ( kpair @ ( sk__10 @ X1 @ sk__14 @ sk__13 @ sk__12 ) @ ( sk__11 @ X1 @ sk__14 @ sk__13 @ sk__12 ) ) @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl8]) ).
thf(zip_derived_cl1013,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__14 )
| ( in @ X0 @ sk__15 ) ),
inference(clc,[status(thm)],[zip_derived_cl1012,zip_derived_cl294]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__16 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1014,plain,
! [X0: $i] :
( ~ ( in @ ( sk__16 @ sk__15 @ X0 ) @ sk__14 )
| ( subset @ X0 @ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1013,zip_derived_cl0]) ).
thf(zip_derived_cl1104,plain,
( ( subset @ sk__14 @ sk__15 )
| ( subset @ sk__14 @ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl1014]) ).
thf(zip_derived_cl1140,plain,
subset @ sk__14 @ sk__15,
inference(simplify,[status(thm)],[zip_derived_cl1104]) ).
thf(zip_derived_cl1176,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl1140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU689^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wwVLARskNe true
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 16:04:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.62 % Total configuration time : 828
% 0.21/0.62 % Estimated wc time : 1656
% 0.21/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 8.64/1.71 % Solved by lams/40_c.s.sh.
% 8.64/1.71 % done 96 iterations in 0.927s
% 8.64/1.71 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.64/1.71 % SZS output start Refutation
% See solution above
% 8.64/1.71
% 8.64/1.71
% 8.64/1.71 % Terminating...
% 8.64/1.84 % Runner terminated.
% 8.64/1.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------