%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP077^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Yuq0EI3vPZ true
% Computer : n026.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 04:38:45 PM UTC 2025
% Result : Theorem 0.60s 0.87s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 22 equ; 2 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 9 ~; 0 |; 0 &; 52 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 10 usr; 8 con; 0-2 aty)
% ( 2 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 7 ( 2 ^; 5 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiset_a_type,type,
multiset_a: $tType ).
thf(list_a_type,type,
list_a: $tType ).
thf(a_type,type,
a: $tType ).
thf(set_list_a_type,type,
set_list_a: $tType ).
thf(list_set_a_type,type,
list_set_a: $tType ).
thf(comm_m543484931mset_a_type,type,
comm_m543484931mset_a: multiset_a > a ).
thf(ss1_type,type,
ss1: list_set_a ).
thf(groups1792256535list_a_type,type,
groups1792256535list_a: list_a > a ).
thf(qs_type,type,
qs: list_a ).
thf(qs2_type,type,
qs2: list_a ).
thf(a3_type,type,
a3: a ).
thf(mset_a_type,type,
mset_a: list_a > multiset_a ).
thf(listset_a_type,type,
listset_a: list_set_a > set_list_a ).
thf('#sk1_type',type,
'#sk1': list_a ).
thf(member_list_a_type,type,
member_list_a: list_a > set_list_a > $o ).
thf(fact_0__092_060open_062mset_Aqs2_A_061_Amset_Aqs_092_060close_062,axiom,
( ( mset_a @ qs2 )
= ( mset_a @ qs ) ) ).
thf(zip_derived_cl0,plain,
( ( mset_a @ qs2 )
= ( mset_a @ qs ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062mset_Aqs2_A_061_Amset_Aqs_092_060close_062]) ).
thf(fact_24_sum__mset__sum__list,axiom,
! [Xs: list_a] :
( ( comm_m543484931mset_a @ ( mset_a @ Xs ) )
= ( groups1792256535list_a @ Xs ) ) ).
thf(zip_derived_cl24,plain,
( !!
@ ^ [Y0: list_a] :
( ( comm_m543484931mset_a @ ( mset_a @ Y0 ) )
= ( groups1792256535list_a @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_24_sum__mset__sum__list]) ).
thf(zip_derived_cl487,plain,
! [X2: list_a] :
( ( comm_m543484931mset_a @ ( mset_a @ X2 ) )
= ( groups1792256535list_a @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl488,plain,
! [X2: list_a] :
( ( comm_m543484931mset_a @ ( mset_a @ X2 ) )
= ( groups1792256535list_a @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl487]) ).
thf(zip_derived_cl490,plain,
( ( comm_m543484931mset_a @ ( mset_a @ qs ) )
= ( groups1792256535list_a @ qs2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl488]) ).
thf(zip_derived_cl488_001,plain,
! [X2: list_a] :
( ( comm_m543484931mset_a @ ( mset_a @ X2 ) )
= ( groups1792256535list_a @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl487]) ).
thf(fact_2_a,axiom,
( a3
= ( groups1792256535list_a @ qs ) ) ).
thf(zip_derived_cl2,plain,
( a3
= ( groups1792256535list_a @ qs ) ),
inference(cnf,[status(esa)],[fact_2_a]) ).
thf(fact_4__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062qs_O_A_092_060lbrakk_062a_A_061_Asum__list_Aqs_059_Aqs_A_092_060in_062_Alistset_Ass1_092_060rbrakk_062_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,axiom,
~ ! [Qs: list_a] :
( ( a3
= ( groups1792256535list_a @ Qs ) )
=> ~ ( member_list_a @ Qs @ ( listset_a @ ss1 ) ) ) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: list_a] :
( ( a3
= ( groups1792256535list_a @ Y0 ) )
=> ( (~) @ ( member_list_a @ Y0 @ ( listset_a @ ss1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_4__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062qs_O_A_092_060lbrakk_062a_A_061_Asum__list_Aqs_059_Aqs_A_092_060in_062_Alistset_Ass1_092_060rbrakk_062_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062]) ).
thf(zip_derived_cl355,plain,
~ ( ( a3
= ( groups1792256535list_a @ '#sk1' ) )
=> ( (~) @ ( member_list_a @ '#sk1' @ ( listset_a @ ss1 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl356,plain,
( a3
= ( groups1792256535list_a @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl355]) ).
thf(zip_derived_cl358,plain,
( a3
= ( groups1792256535list_a @ '#sk1' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl356]) ).
thf(zip_derived_cl360,plain,
( ( groups1792256535list_a @ '#sk1' )
= ( groups1792256535list_a @ qs ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl358]) ).
thf(zip_derived_cl493,plain,
( ( groups1792256535list_a @ '#sk1' )
= ( groups1792256535list_a @ qs2 ) ),
inference(demod,[status(thm)],[zip_derived_cl490,zip_derived_cl488,zip_derived_cl360]) ).
thf(conj_0,conjecture,
( a3
= ( groups1792256535list_a @ qs2 ) ) ).
thf(zf_stmt_0,negated_conjecture,
( a3
!= ( groups1792256535list_a @ qs2 ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl353,plain,
( a3
!= ( groups1792256535list_a @ qs2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl358_002,plain,
( a3
= ( groups1792256535list_a @ '#sk1' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl356]) ).
thf(zip_derived_cl361,plain,
( ( groups1792256535list_a @ '#sk1' )
!= ( groups1792256535list_a @ qs2 ) ),
inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl358]) ).
thf(zip_derived_cl494,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl493,zip_derived_cl361]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP077^1 : TPTP v9.2.0. Released v7.5.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Yuq0EI3vPZ true
% 0.13/0.35 % Computer : n026.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 15:25:38 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.57/0.67 % Total configuration time : 828
% 0.57/0.67 % Estimated wc time : 1656
% 0.57/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.82 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.60/0.84 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 0.60/0.87 % Solved by lams/35_full_unif4.sh.
% 0.60/0.87 % done 70 iterations in 0.115s
% 0.60/0.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/0.87 % SZS output start Refutation
% See solution above
% 0.60/0.87
% 0.60/0.87
% 0.60/0.87 % Terminating...
% 0.67/0.97 % Runner terminated.
% 1.91/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------