%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL003+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1M4RhzLF1n true
% Computer : n031.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 04:49:54 PM UTC 2025
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 30 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 121 ( 7 ~; 6 |; 2 &; 102 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 ^; 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i ).
thf(join_type,type,
join: $i > $i > $i ).
thf(converse_type,type,
converse: $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(goals,conjecture,
! [X0: $i,X1: $i] :
( ( ( ( join @ ( converse @ X0 ) @ ( converse @ X1 ) )
= ( converse @ X1 ) )
=> ( ( join @ X0 @ X1 )
= X1 ) )
& ( ( ( join @ X0 @ X1 )
= X1 )
=> ( ( join @ ( converse @ X0 ) @ ( converse @ X1 ) )
= ( converse @ X1 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( ( ( join @ ( converse @ X0 ) @ ( converse @ X1 ) )
= ( converse @ X1 ) )
=> ( ( join @ X0 @ X1 )
= X1 ) )
& ( ( ( join @ X0 @ X1 )
= X1 )
=> ( ( join @ ( converse @ X0 ) @ ( converse @ X1 ) )
= ( converse @ X1 ) ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl13,plain,
( ( ( join @ sk_ @ sk__1 )
!= sk__1 )
| ( ( join @ ( converse @ sk_ ) @ ( converse @ sk__1 ) )
!= ( converse @ sk__1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(converse_additivity,axiom,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ X0 @ X1 ) )
= ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ X0 @ X1 ) )
= ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
inference(cnf,[status(esa)],[converse_additivity]) ).
thf(zip_derived_cl19,plain,
( ( ( join @ sk_ @ sk__1 )
!= sk__1 )
| ( ( converse @ ( join @ sk_ @ sk__1 ) )
!= ( converse @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
( ( ( join @ ( converse @ sk_ ) @ ( converse @ sk__1 ) )
= ( converse @ sk__1 ) )
| ( ( join @ sk_ @ sk__1 )
= sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(converse_idempotence,axiom,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl8_001,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ X0 @ X1 ) )
= ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
inference(cnf,[status(esa)],[converse_additivity]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ X1 @ ( converse @ X0 ) ) )
= ( join @ ( converse @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl8]) ).
thf(zip_derived_cl71,plain,
( ( ( join @ sk_ @ sk__1 )
= sk__1 )
| ( ( converse @ ( converse @ sk__1 ) )
= ( join @ ( converse @ ( converse @ sk_ ) ) @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl22]) ).
thf(zip_derived_cl7_002,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl7_003,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl76,plain,
( ( ( join @ sk_ @ sk__1 )
= sk__1 )
| ( sk__1
= ( join @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl77,plain,
( ( join @ sk_ @ sk__1 )
= sk__1 ),
inference(simplify,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl77_004,plain,
( ( join @ sk_ @ sk__1 )
= sk__1 ),
inference(simplify,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl81,plain,
( ( sk__1 != sk__1 )
| ( ( converse @ sk__1 )
!= ( converse @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl77,zip_derived_cl77]) ).
thf(zip_derived_cl82,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : REL003+1 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1M4RhzLF1n true
% 0.13/0.34 % Computer : n031.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 Oct 1 12:21:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % Solved by fo/fo6_bce.sh.
% 0.56/0.75 % BCE start: 17
% 0.56/0.75 % BCE eliminated: 0
% 0.56/0.75 % PE start: 17
% 0.56/0.75 logic: eq
% 0.56/0.75 % PE eliminated: 0
% 0.56/0.75 % done 16 iterations in 0.029s
% 0.56/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.75 % SZS output start Refutation
% See solution above
% 0.56/0.75
% 0.56/0.75
% 0.56/0.76 % Terminating...
% 1.57/0.85 % Runner terminated.
% 1.57/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------