%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU467^1 : TPTP v9.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sxMDNwrq0W true
% Computer : n010.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 Oct 2 04:54:44 PM UTC 2025
% Result : Theorem 0.52s 0.76s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 20 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 41 ( 12 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 124 ( 3 ~; 1 |; 10 &; 93 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 59 ( 59 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 62 ( 21 ^; 41 !; 0 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(subrel_type,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__13_type,type,
sk__13: $i > $i > $o ).
thf(tc_type,type,
tc: ( $i > $i > $o ) > $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(trans_type,type,
trans: ( $i > $i > $o ) > $o ).
thf(sk__10_type,type,
sk__10: $i > $i > $o ).
thf(infl_type,type,
infl: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
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(subrel,axiom,
( subrel
= ( ^ [R: $i > $i > $o,S: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( S @ X @ Y ) ) ) ) ).
thf('2',plain,
( subrel
= ( ^ [R: $i > $i > $o,S: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( S @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[subrel]) ).
thf('3',plain,
( subrel
= ( ^ [V_1: $i > $i > $o,V_2: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_2 @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf('4',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','3']) ).
thf('5',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(inflationary,axiom,
( infl
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o] : ( subrel @ R @ ( F @ R ) ) ) ) ).
thf('6',plain,
( infl
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o] : ( subrel @ R @ ( F @ R ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[inflationary,'3']) ).
thf('7',plain,
( infl
= ( ^ [V_1: ( $i > $i > $o ) > $i > $i > $o] :
! [X4: $i > $i > $o] : ( subrel @ X4 @ ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(transitive_closure_op_is_inflationary,conjecture,
infl @ tc ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,X6: $i,X8: $i] :
( ( X4 @ X6 @ X8 )
=> ! [X10: $i > $i > $o] :
( ( ! [X12: $i,X14: $i,X16: $i] :
( ( ( X10 @ X12 @ X14 )
& ( X10 @ X14 @ X16 ) )
=> ( X10 @ X12 @ X16 ) )
& ! [X18: $i,X20: $i] :
( ( X4 @ X18 @ X20 )
=> ( X10 @ X18 @ X20 ) ) )
=> ( X10 @ X6 @ X8 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,X6: $i,X8: $i] :
( ( X4 @ X6 @ X8 )
=> ! [X10: $i > $i > $o] :
( ( ! [X12: $i,X14: $i,X16: $i] :
( ( ( X10 @ X12 @ X14 )
& ( X10 @ X14 @ X16 ) )
=> ( X10 @ X12 @ X16 ) )
& ! [X18: $i,X20: $i] :
( ( X4 @ X18 @ X20 )
=> ( X10 @ X18 @ X20 ) ) )
=> ( X10 @ X6 @ X8 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( sk__13 @ sk__11 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( sk__13 @ X0 @ X1 )
| ~ ( sk__10 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
sk__10 @ sk__11 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
sk__13 @ sk__11 @ sk__12,
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl8,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SEU467^1 : TPTP v9.2.0. Released v3.6.0.
% 0.09/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sxMDNwrq0W true
% 0.12/0.32 % Computer : n010.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Oct 1 16:02:38 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % Running portfolio for 300 s
% 0.12/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Number of cores: 8
% 0.12/0.32 % Python version: Python 3.6.8
% 0.12/0.32 % Running in HO mode
% 0.50/0.63 % Total configuration time : 828
% 0.50/0.63 % Estimated wc time : 1656
% 0.50/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.52/0.76 % Solved by lams/40_c.s.sh.
% 0.52/0.76 % done 3 iterations in 0.024s
% 0.52/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.76 % SZS output start Refutation
% See solution above
% 0.52/0.76
% 0.52/0.76
% 0.52/0.76 % Terminating...
% 0.54/0.83 % Runner terminated.
% 0.54/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------