%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET680^3 : TPTP v9.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RSje4vjUxx true
% Computer : n028.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 04:52:40 PM UTC 2025
% Result : Theorem 0.62s 0.83s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 27 ( 6 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 104 ( 9 ~; 5 |; 8 &; 68 @)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 52 ( 15 ^; 29 !; 8 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(rel_domain_type,type,
rel_domain: ( $i > $i > $o ) > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(is_rel_on_type,type,
is_rel_on: ( $i > $i > $o ) > ( $i > $o ) > ( $i > $o ) > $o ).
thf(sk__6_type,type,
sk__6: $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $i > $o ).
thf(rel_domain,axiom,
( rel_domain
= ( ^ [R: $i > $i > $o,X: $i] :
? [Y: $i] : ( R @ X @ Y ) ) ) ).
thf('0',plain,
( rel_domain
= ( ^ [R: $i > $i > $o,X: $i] :
? [Y: $i] : ( R @ X @ Y ) ) ),
inference(simplify_rw_rule,[status(thm)],[rel_domain]) ).
thf('1',plain,
( rel_domain
= ( ^ [V_1: $i > $i > $o,V_2: $i] :
? [X4: $i] : ( V_1 @ V_2 @ X4 ) ) ),
define([status(thm)]) ).
thf(is_rel_on,axiom,
( is_rel_on
= ( ^ [R: $i > $i > $o,A: $i > $o,B: $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( ( A @ X )
& ( B @ Y ) ) ) ) ) ).
thf('2',plain,
( is_rel_on
= ( ^ [R: $i > $i > $o,A: $i > $o,B: $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( ( A @ X )
& ( B @ Y ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[is_rel_on]) ).
thf('3',plain,
( is_rel_on
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( ( V_2 @ X4 )
& ( V_3 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [R: $i > $i > $o,X: $i > $o,Y: $i > $o] :
( ( is_rel_on @ R @ X @ Y )
=> ! [U: $i] :
( ( X @ U )
=> ( ( rel_domain @ R @ U )
<=> ? [V: $i] :
( ( R @ U @ V )
& ( Y @ V ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,X6: $i > $o,X8: $i > $o] :
( ! [X10: $i,X12: $i] :
( ( X4 @ X10 @ X12 )
=> ( ( X6 @ X10 )
& ( X8 @ X12 ) ) )
=> ! [X14: $i] :
( ( X6 @ X14 )
=> ( ? [X16: $i] : ( X4 @ X14 @ X16 )
<=> ? [X18: $i] :
( ( X4 @ X14 @ X18 )
& ( X8 @ X18 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,X6: $i > $o,X8: $i > $o] :
( ! [X10: $i,X12: $i] :
( ( X4 @ X10 @ X12 )
=> ( ( X6 @ X10 )
& ( X8 @ X12 ) ) )
=> ! [X14: $i] :
( ( X6 @ X14 )
=> ( ? [X16: $i] : ( X4 @ X14 @ X16 )
<=> ? [X18: $i] :
( ( X4 @ X14 @ X18 )
& ( X8 @ X18 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
( ( sk__4 @ sk__7 @ sk__8 )
| ( sk__4 @ sk__7 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X2: $i,X3: $i] :
( ~ ( sk__6 @ X2 )
| ~ ( sk__4 @ sk__7 @ X2 )
| ~ ( sk__4 @ sk__7 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ~ ( sk__6 @ X0 )
| ~ ( sk__4 @ sk__7 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( sk__6 @ X1 )
| ~ ( sk__4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
~ ( sk__4 @ sk__7 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl12,zip_derived_cl1]) ).
thf(zip_derived_cl14,plain,
sk__4 @ sk__7 @ sk__9,
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl13]) ).
thf(zip_derived_cl13_001,plain,
! [X0: $i] :
~ ( sk__4 @ sk__7 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl12,zip_derived_cl1]) ).
thf(zip_derived_cl17,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET680^3 : TPTP v9.2.0. Released v3.6.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RSje4vjUxx true
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 12:53:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in HO mode
% 0.61/0.71 % Total configuration time : 828
% 0.61/0.71 % Estimated wc time : 1656
% 0.61/0.71 % Estimated cpu time (8 cpus) : 207.0
% 0.62/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.62/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.62/0.79 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.62/0.80 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.62/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.62/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.62/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.62/0.82 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.62/0.83 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.62/0.83 % Solved by lams/40_c.s.sh.
% 0.62/0.83 % done 10 iterations in 0.019s
% 0.62/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.62/0.83 % SZS output start Refutation
% See solution above
% 0.62/0.83
% 0.62/0.83
% 0.62/0.83 % Terminating...
% 2.14/0.90 % Runner terminated.
% 2.14/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------