%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU454^1 : 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.tEQpUkWy6i true
% Computer : n009.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 04:54:43 PM UTC 2025
% Result : Theorem 0.66s 0.85s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 10 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 12 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 20 ( 1 ~; 3 |; 0 &; 16 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 31 ( 31 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 2 con; 0-3 aty)
% Number of variables : 21 ( 12 ^; 9 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(idem_type,type,
idem: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf(rc_type,type,
rc: ( $i > $i > $o ) > $i > $i > $o ).
thf(reflexive_closure,axiom,
( rc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
( ( X = Y )
| ( R @ X @ Y ) ) ) ) ).
thf('0',plain,
( rc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
( ( X = Y )
| ( R @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[reflexive_closure]) ).
thf('1',plain,
( rc
= ( ^ [V_1: $i > $i > $o,V_2: $i,V_3: $i] :
( ( V_2 = V_3 )
| ( V_1 @ V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(idempotent,axiom,
( idem
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o] :
( ( F @ ( F @ R ) )
= ( F @ R ) ) ) ) ).
thf('2',plain,
( idem
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o] :
( ( F @ ( F @ R ) )
= ( F @ R ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[idempotent]) ).
thf('3',plain,
( idem
= ( ^ [V_1: ( $i > $i > $o ) > $i > $i > $o] :
! [X4: $i > $i > $o] :
( ( V_1 @ ( V_1 @ X4 ) )
= ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(reflexive_closure_op_is_idempotent,conjecture,
idem @ rc ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,V_3: $i,V_4: $i] : $true ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,V_3: $i,V_4: $i] : $true,
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
$false,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU454^1 : TPTP v9.2.0. Released v3.6.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tEQpUkWy6i true
% 0.14/0.35 % Computer : n009.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 Oct 1 16:05:53 EDT 2025
% 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
% 0.63/0.72 % Total configuration time : 828
% 0.63/0.72 % Estimated wc time : 1656
% 0.63/0.72 % Estimated cpu time (8 cpus) : 207.0
% 0.64/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.64/0.81 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.64/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.64/0.83 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.64/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.64/0.84 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.64/0.85 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.66/0.85 % Solved by lams/40_c.s.sh.
% 0.66/0.85 % done 0 iterations in 0.020s
% 0.66/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.66/0.85 % SZS output start Refutation
% See solution above
% 0.66/0.85
% 0.66/0.85
% 0.66/0.85 % Terminating...
% 0.66/0.92 % Runner terminated.
% 2.04/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------