%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU803^2 : 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.dXGUyBYtet 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 04:56:29 PM UTC 2025
% Result : Theorem 0.48s 0.85s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 14 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 171 ( 12 ~; 6 |; 5 &; 128 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 41 ( 9 ^; 27 !; 5 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(ap_type,type,
ap: $i > $i > $i > $i > $i ).
thf(surjective_type,type,
surjective: $i > $i > $i > $o ).
thf(funcSet_type,type,
funcSet: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(surjective,axiom,
( surjective
= ( ^ [A: $i,B: $i,Xf: $i] :
! [Xx: $i] :
( ( in @ Xx @ B )
=> ? [Xy: $i] :
( ( ( ap @ A @ B @ Xf @ Xy )
= Xx )
& ( in @ Xy @ A ) ) ) ) ) ).
thf('0',plain,
( surjective
= ( ^ [A: $i,B: $i,Xf: $i] :
! [Xx: $i] :
( ( in @ Xx @ B )
=> ? [Xy: $i] :
( ( ( ap @ A @ B @ Xf @ Xy )
= Xx )
& ( in @ Xy @ A ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[surjective]) ).
thf('1',plain,
( surjective
= ( ^ [V_1: $i,V_2: $i,V_3: $i] :
! [X4: $i] :
( ( in @ X4 @ V_2 )
=> ? [X6: $i] :
( ( ( ap @ V_1 @ V_2 @ V_3 @ X6 )
= X4 )
& ( in @ X6 @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(leftInvIsSurj,conjecture,
! [A: $i,B: $i,Xf: $i > $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ ( Xf @ Xx ) @ B ) )
=> ! [Xg: $i] :
( ( in @ Xg @ ( funcSet @ B @ A ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( ap @ B @ A @ Xg @ ( Xf @ Xx ) )
= Xx ) )
=> ( surjective @ B @ A @ Xg ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i,X8: $i > $i] :
( ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( in @ ( X8 @ X10 ) @ X6 ) )
=> ! [X12: $i] :
( ( in @ X12 @ ( funcSet @ X6 @ X4 ) )
=> ( ! [X14: $i] :
( ( in @ X14 @ X4 )
=> ( ( ap @ X6 @ X4 @ X12 @ ( X8 @ X14 ) )
= X14 ) )
=> ! [X16: $i] :
( ( in @ X16 @ X4 )
=> ? [X18: $i] :
( ( ( ap @ X6 @ X4 @ X12 @ X18 )
= X16 )
& ( in @ X18 @ X6 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i,X8: $i > $i] :
( ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( in @ ( X8 @ X10 ) @ X6 ) )
=> ! [X12: $i] :
( ( in @ X12 @ ( funcSet @ X6 @ X4 ) )
=> ( ! [X14: $i] :
( ( in @ X14 @ X4 )
=> ( ( ap @ X6 @ X4 @ X12 @ ( X8 @ X14 ) )
= X14 ) )
=> ! [X16: $i] :
( ( in @ X16 @ X4 )
=> ? [X18: $i] :
( ( ( ap @ X6 @ X4 @ X12 @ X18 )
= X16 )
& ( in @ X18 @ X6 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( in @ ( sk__4 @ X0 ) @ sk__3 )
| ~ ( in @ X0 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X1: $i] :
( ( ( ap @ sk__3 @ sk__2 @ sk__5 @ ( sk__4 @ X1 ) )
= X1 )
| ~ ( in @ X1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( ( ( ap @ sk__3 @ sk__2 @ sk__5 @ X2 )
!= sk__6 )
| ~ ( in @ X2 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( X0 != sk__6 )
| ~ ( in @ X0 @ sk__2 )
| ~ ( in @ ( sk__4 @ X0 ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
( ~ ( in @ ( sk__4 @ sk__6 ) @ sk__3 )
| ~ ( in @ sk__6 @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl2,plain,
in @ sk__6 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
~ ( in @ ( sk__4 @ sk__6 ) @ sk__3 ),
inference('simplify_reflect+',[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).
thf(zip_derived_cl11,plain,
~ ( in @ sk__6 @ sk__2 ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl8]) ).
thf(zip_derived_cl2_001,plain,
in @ sk__6 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.16 % Problem : SEU803^2 : TPTP v9.2.0. Released v3.7.0.
% 0.10/0.17 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dXGUyBYtet true
% 0.11/0.36 % Computer : n009.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8042.1875MB
% 0.11/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Oct 1 16:12:53 EDT 2025
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Number of cores: 8
% 0.11/0.37 % Python version: Python 3.6.8
% 0.11/0.37 % Running in HO mode
% 0.45/0.64 % Total configuration time : 828
% 0.45/0.64 % Estimated wc time : 1656
% 0.45/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.46/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.47/0.79 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.47/0.79 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.47/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.47/0.80 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.48/0.83 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.48/0.85 % Solved by lams/40_c.s.sh.
% 0.48/0.85 % done 5 iterations in 0.015s
% 0.48/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.85 % SZS output start Refutation
% See solution above
% 0.48/0.85
% 0.48/0.85
% 0.48/0.85 % Terminating...
% 1.76/0.93 % Runner terminated.
% 1.76/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------