TSTP Solution File: SEU461^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU461^1 : 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.q5N99cZan5 true
% Computer : n011.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 19:13:11 EDT 2023
% Result : Theorem 4.69s 1.36s
% Output : Refutation 4.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 58 ( 11 unt; 14 typ; 0 def)
% Number of atoms : 146 ( 6 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 404 ( 28 ~; 47 |; 20 &; 289 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 84 ( 84 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 77 ( 12 ^; 65 !; 0 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__12_type,type,
sk__12: ( $i > $i > $o ) > $i ).
thf(sk__13_type,type,
sk__13: ( $i > $i > $o ) > $i ).
thf(sk__8_type,type,
sk__8: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(subrel_type,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(sk__11_type,type,
sk__11: ( $i > $i > $o ) > $i ).
thf(sk__17_type,type,
sk__17: ( $i > $i > $o ) > $i ).
thf(sk__16_type,type,
sk__16: ( $i > $i > $o ) > $i ).
thf(tc_type,type,
tc: ( $i > $i > $o ) > $i > $i > $o ).
thf(trans_type,type,
trans: ( $i > $i > $o ) > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__15_type,type,
sk__15: $i > $i > $o ).
thf(sk__18_type,type,
sk__18: ( $i > $i > $o ) > $i ).
thf(transitive_closure,axiom,
( tc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
! [S: $i > $i > $o] :
( ( ( trans @ S )
& ( subrel @ R @ S ) )
=> ( S @ X @ Y ) ) ) ) ).
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('2',plain,
( tc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
! [S: $i > $i > $o] :
( ( ( trans @ S )
& ( subrel @ R @ S ) )
=> ( S @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitive_closure,'1']) ).
thf('3',plain,
( tc
= ( ^ [V_1: $i > $i > $o,V_2: $i,V_3: $i] :
! [X4: $i > $i > $o] :
( ( ( trans @ X4 )
& ( subrel @ V_1 @ X4 ) )
=> ( X4 @ V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(transitive_closure_is_transitive,conjecture,
! [R: $i > $i > $o] : ( trans @ ( tc @ R ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,X6: $i,X8: $i,X10: $i] :
( ( ! [X12: $i > $i > $o] :
( ( ! [X14: $i,X16: $i,X18: $i] :
( ( ( X12 @ X14 @ X16 )
& ( X12 @ X16 @ X18 ) )
=> ( X12 @ X14 @ X18 ) )
& ( subrel @ X4 @ X12 ) )
=> ( X12 @ X6 @ X8 ) )
& ! [X20: $i > $i > $o] :
( ( ! [X22: $i,X24: $i,X26: $i] :
( ( ( X20 @ X22 @ X24 )
& ( X20 @ X24 @ X26 ) )
=> ( X20 @ X22 @ X26 ) )
& ( subrel @ X4 @ X20 ) )
=> ( X20 @ X8 @ X10 ) ) )
=> ! [X28: $i > $i > $o] :
( ( ! [X30: $i,X32: $i,X34: $i] :
( ( ( X28 @ X30 @ X32 )
& ( X28 @ X32 @ X34 ) )
=> ( X28 @ X30 @ X34 ) )
& ( subrel @ X4 @ X28 ) )
=> ( X28 @ X6 @ X10 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,X6: $i,X8: $i,X10: $i] :
( ( ! [X12: $i > $i > $o] :
( ( ! [X14: $i,X16: $i,X18: $i] :
( ( ( X12 @ X14 @ X16 )
& ( X12 @ X16 @ X18 ) )
=> ( X12 @ X14 @ X18 ) )
& ( subrel @ X4 @ X12 ) )
=> ( X12 @ X6 @ X8 ) )
& ! [X20: $i > $i > $o] :
( ( ! [X22: $i,X24: $i,X26: $i] :
( ( ( X20 @ X22 @ X24 )
& ( X20 @ X24 @ X26 ) )
=> ( X20 @ X22 @ X26 ) )
& ( subrel @ X4 @ X20 ) )
=> ( X20 @ X8 @ X10 ) ) )
=> ! [X28: $i > $i > $o] :
( ( ! [X30: $i,X32: $i,X34: $i] :
( ( ( X28 @ X30 @ X32 )
& ( X28 @ X32 @ X34 ) )
=> ( X28 @ X30 @ X34 ) )
& ( subrel @ X4 @ X28 ) )
=> ( X28 @ X6 @ X10 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
! [X4: $i > $i > $o] :
( ( X4 @ sk__9 @ sk__10 )
| ~ ( subrel @ sk__8 @ X4 )
| ~ ( X4 @ ( sk__11 @ X4 ) @ ( sk__13 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X4: $i > $i > $o] :
( ( X4 @ sk__9 @ sk__10 )
| ~ ( subrel @ sk__8 @ X4 )
| ( X4 @ ( sk__12 @ X4 ) @ ( sk__13 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X4: $i > $i > $o] :
( ( X4 @ sk__9 @ sk__10 )
| ~ ( subrel @ sk__8 @ X4 )
| ( X4 @ ( sk__11 @ X4 ) @ ( sk__12 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sk__15 @ X0 @ X1 )
| ~ ( sk__15 @ X1 @ X2 )
| ( sk__15 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl514,plain,
! [X0: $i] :
( ~ ( subrel @ sk__8 @ sk__15 )
| ( sk__15 @ sk__9 @ sk__10 )
| ( sk__15 @ ( sk__11 @ sk__15 ) @ X0 )
| ~ ( sk__15 @ ( sk__12 @ sk__15 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl1,plain,
subrel @ sk__8 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl576,plain,
! [X0: $i] :
( ( sk__15 @ sk__9 @ sk__10 )
| ( sk__15 @ ( sk__11 @ sk__15 ) @ X0 )
| ~ ( sk__15 @ ( sk__12 @ sk__15 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl514,zip_derived_cl1]) ).
thf(zip_derived_cl587,plain,
( ~ ( subrel @ sk__8 @ sk__15 )
| ( sk__15 @ sk__9 @ sk__10 )
| ( sk__15 @ ( sk__11 @ sk__15 ) @ ( sk__13 @ sk__15 ) )
| ( sk__15 @ sk__9 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl576]) ).
thf(zip_derived_cl1_001,plain,
subrel @ sk__8 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl590,plain,
( ( sk__15 @ sk__9 @ sk__10 )
| ( sk__15 @ ( sk__11 @ sk__15 ) @ ( sk__13 @ sk__15 ) )
| ( sk__15 @ sk__9 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl1]) ).
thf(zip_derived_cl591,plain,
( ( sk__15 @ ( sk__11 @ sk__15 ) @ ( sk__13 @ sk__15 ) )
| ( sk__15 @ sk__9 @ sk__10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl590]) ).
thf(zip_derived_cl594,plain,
( ~ ( subrel @ sk__8 @ sk__15 )
| ( sk__15 @ sk__9 @ sk__10 )
| ( sk__15 @ sk__9 @ sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl591]) ).
thf(zip_derived_cl1_002,plain,
subrel @ sk__8 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl595,plain,
( ( sk__15 @ sk__9 @ sk__10 )
| ( sk__15 @ sk__9 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl594,zip_derived_cl1]) ).
thf(zip_derived_cl596,plain,
sk__15 @ sk__9 @ sk__10,
inference(simplify,[status(thm)],[zip_derived_cl595]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sk__15 @ X0 @ X1 )
| ~ ( sk__15 @ X1 @ X2 )
| ( sk__15 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl599,plain,
! [X0: $i] :
( ( sk__15 @ sk__9 @ X0 )
| ~ ( sk__15 @ sk__10 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( sk__15 @ sk__9 @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl600,plain,
~ ( sk__15 @ sk__10 @ sk__14 ),
inference('sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl2]) ).
thf(zip_derived_cl3,plain,
! [X3: $i > $i > $o] :
( ( X3 @ sk__10 @ sk__14 )
| ~ ( subrel @ sk__8 @ X3 )
| ~ ( X3 @ ( sk__16 @ X3 ) @ ( sk__18 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X3: $i > $i > $o] :
( ( X3 @ sk__10 @ sk__14 )
| ~ ( subrel @ sk__8 @ X3 )
| ( X3 @ ( sk__17 @ X3 ) @ ( sk__18 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X3: $i > $i > $o] :
( ( X3 @ sk__10 @ sk__14 )
| ~ ( subrel @ sk__8 @ X3 )
| ( X3 @ ( sk__16 @ X3 ) @ ( sk__17 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sk__15 @ X0 @ X1 )
| ~ ( sk__15 @ X1 @ X2 )
| ( sk__15 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl200,plain,
! [X0: $i] :
( ~ ( subrel @ sk__8 @ sk__15 )
| ( sk__15 @ sk__10 @ sk__14 )
| ( sk__15 @ ( sk__16 @ sk__15 ) @ X0 )
| ~ ( sk__15 @ ( sk__17 @ sk__15 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl1_005,plain,
subrel @ sk__8 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl241,plain,
! [X0: $i] :
( ( sk__15 @ sk__10 @ sk__14 )
| ( sk__15 @ ( sk__16 @ sk__15 ) @ X0 )
| ~ ( sk__15 @ ( sk__17 @ sk__15 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl1]) ).
thf(zip_derived_cl334,plain,
( ~ ( subrel @ sk__8 @ sk__15 )
| ( sk__15 @ sk__10 @ sk__14 )
| ( sk__15 @ ( sk__16 @ sk__15 ) @ ( sk__18 @ sk__15 ) )
| ( sk__15 @ sk__10 @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl241]) ).
thf(zip_derived_cl1_006,plain,
subrel @ sk__8 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl335,plain,
( ( sk__15 @ sk__10 @ sk__14 )
| ( sk__15 @ ( sk__16 @ sk__15 ) @ ( sk__18 @ sk__15 ) )
| ( sk__15 @ sk__10 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl1]) ).
thf(zip_derived_cl336,plain,
( ( sk__15 @ ( sk__16 @ sk__15 ) @ ( sk__18 @ sk__15 ) )
| ( sk__15 @ sk__10 @ sk__14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl335]) ).
thf(zip_derived_cl339,plain,
( ~ ( subrel @ sk__8 @ sk__15 )
| ( sk__15 @ sk__10 @ sk__14 )
| ( sk__15 @ sk__10 @ sk__14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl336]) ).
thf(zip_derived_cl1_007,plain,
subrel @ sk__8 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl340,plain,
( ( sk__15 @ sk__10 @ sk__14 )
| ( sk__15 @ sk__10 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl339,zip_derived_cl1]) ).
thf(zip_derived_cl341,plain,
sk__15 @ sk__10 @ sk__14,
inference(simplify,[status(thm)],[zip_derived_cl340]) ).
thf(zip_derived_cl609,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl600,zip_derived_cl341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU461^1 : 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.q5N99cZan5 true
% 0.13/0.34 % Computer : n011.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 : Wed Aug 23 17:39:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.20/0.63 % Total configuration time : 828
% 0.20/0.63 % Estimated wc time : 1656
% 0.20/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 4.69/1.36 % Solved by lams/40_c_ic.sh.
% 4.69/1.36 % done 77 iterations in 0.571s
% 4.69/1.36 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.69/1.36 % SZS output start Refutation
% See solution above
% 4.69/1.36
% 4.69/1.36
% 4.69/1.36 % Terminating...
% 5.05/1.45 % Runner terminated.
% 5.05/1.46 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------