%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU662^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3brc1I5H1o true
% Computer : n015.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 04:55:37 PM UTC 2025
% Result : Theorem 0.54s 0.76s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 18 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 94 ( 3 ~; 0 |; 0 &; 71 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 38 ( 0 ^; 38 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(kfst_type,type,
kfst: $i > $i ).
thf(cartprodmempaircEq_type,type,
cartprodmempaircEq: $o ).
thf(kfstpairEq_type,type,
kfstpairEq: $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(cartprodmempaircEq,axiom,
( cartprodmempaircEq
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( kpair @ Xx @ Xy )
= ( kpair @ Xx @ Xy ) ) ) ) ) ) ).
thf('0',plain,
( cartprodmempaircEq
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ! [X10: $i] :
( ( in @ X10 @ X6 )
=> ( ( kpair @ X8 @ X10 )
= ( kpair @ X8 @ X10 ) ) ) ) ) ),
define([status(thm)]) ).
thf(kfstpairEq,axiom,
( kfstpairEq
= ( ! [Xx: $i,Xy: $i] :
( ( kfst @ ( kpair @ Xx @ Xy ) )
= Xx ) ) ) ).
thf('1',plain,
( kfstpairEq
= ( ! [X4: $i,X6: $i] :
( ( kfst @ ( kpair @ X4 @ X6 ) )
= X4 ) ) ),
define([status(thm)]) ).
thf(cartprodfstpairEq,conjecture,
( kfstpairEq
=> ( cartprodmempaircEq
=> ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( kfst @ ( kpair @ Xx @ Xy ) )
= Xx ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( kfst @ ( kpair @ X4 @ X6 ) )
= X4 )
=> ( ! [X8: $i,X10: $i,X12: $i] :
( ( in @ X12 @ X8 )
=> ! [X14: $i] :
( ( in @ X14 @ X10 )
=> ( ( kpair @ X12 @ X14 )
= ( kpair @ X12 @ X14 ) ) ) )
=> ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ X16 )
=> ! [X22: $i] :
( ( in @ X22 @ X18 )
=> ( ( kfst @ ( kpair @ X20 @ X22 ) )
= X20 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( kfst @ ( kpair @ X4 @ X6 ) )
= X4 )
=> ( ! [X8: $i,X10: $i,X12: $i] :
( ( in @ X12 @ X8 )
=> ! [X14: $i] :
( ( in @ X14 @ X10 )
=> ( ( kpair @ X12 @ X14 )
= ( kpair @ X12 @ X14 ) ) ) )
=> ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ X16 )
=> ! [X22: $i] :
( ( in @ X22 @ X18 )
=> ( ( kfst @ ( kpair @ X20 @ X22 ) )
= X20 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
( ( kfst @ ( kpair @ sk__8 @ sk__9 ) )
!= sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( kfst @ ( kpair @ X0 @ X1 ) )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
sk__8 != sk__8,
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU662^2 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3brc1I5H1o true
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:09:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.52/0.61 % Total configuration time : 828
% 0.52/0.61 % Estimated wc time : 1656
% 0.52/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.54/0.76 % Solved by lams/40_c.s.sh.
% 0.54/0.76 % done 3 iterations in 0.010s
% 0.54/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.76 % SZS output start Refutation
% See solution above
% 0.54/0.76
% 0.54/0.76
% 0.54/0.76 % Terminating...
% 0.57/0.85 % Runner terminated.
% 0.57/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------