%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP232_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nRYlGOgvsT true
% Computer : n012.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 04:39:23 PM UTC 2025
% Result : Theorem 36.61s 6.05s
% Output : Refutation 36.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 3 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 106 ( 7 ~; 1 |; 0 &; 97 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 10 ( 9 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 7 ( 0 ^; 4 !; 3 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
thf(bool_type,type,
bool: $tType ).
thf(fun_VEBT_VEBT_bool_type,type,
fun_VEBT_VEBT_bool: $tType ).
thf(vEBT_VEBT_type,type,
vEBT_VEBT: $tType ).
thf(list_VEBT_VEBT_type,type,
list_VEBT_VEBT: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(fun_nat_nat_type,type,
fun_nat_nat: $tType ).
thf(fun_nat_fun_nat_nat_type,type,
fun_nat_fun_nat_nat: $tType ).
thf(fun_nat_bool_type,type,
fun_nat_bool: $tType ).
thf(fun_VE3763956218935105199t_bool_type,type,
fun_VE3763956218935105199t_bool: $tType ).
thf(pp_type,type,
pp: bool > $o ).
thf(sk__type,type,
sk_: vEBT_VEBT > nat ).
thf(aa_nat_nat_type,type,
aa_nat_nat: fun_nat_nat > nat > nat ).
thf(vEBT_VEBT_high_type,type,
vEBT_VEBT_high: fun_nat_fun_nat_nat ).
thf(aa_nat_fun_nat_nat_type,type,
aa_nat_fun_nat_nat: fun_nat_fun_nat_nat > nat > fun_nat_nat ).
thf(vEBT_V8194947554948674370ptions_type,type,
vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).
thf(m_type,type,
m: nat ).
thf(na_type,type,
na: nat ).
thf(aa_VEB4832260192069861672t_bool_type,type,
aa_VEB4832260192069861672t_bool: fun_VE3763956218935105199t_bool > vEBT_VEBT > fun_nat_bool ).
thf(aa_VEBT_VEBT_bool_type,type,
aa_VEBT_VEBT_bool: fun_VEBT_VEBT_bool > vEBT_VEBT > bool ).
thf(mi_type,type,
mi: nat ).
thf(vEBT_VEBT_minNull_type,type,
vEBT_VEBT_minNull: fun_VEBT_VEBT_bool ).
thf(nth_VEBT_VEBT_type,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(aa_nat_bool_type,type,
aa_nat_bool: fun_nat_bool > nat > bool ).
thf(treeList_type,type,
treeList: list_VEBT_VEBT ).
thf(fact_1_False,axiom,
~ ( pp @ ( aa_VEBT_VEBT_bool @ vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) ) ) ).
thf(zip_derived_cl1,plain,
~ ( pp @ ( aa_VEBT_VEBT_bool @ vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) ) ),
inference(cnf,[status(esa)],[fact_1_False]) ).
thf(fact_3__C8_C,axiom,
na = m ).
thf(zip_derived_cl3,plain,
na = m,
inference(cnf,[status(esa)],[fact_3__C8_C]) ).
thf(zip_derived_cl7050,plain,
~ ( pp @ ( aa_VEBT_VEBT_bool @ vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ m ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).
thf(conj_0,conjecture,
? [Y3: nat] : ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) ) @ Y3 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [Y3: nat] : ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) ) @ Y3 ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl2441,plain,
! [X0: nat] :
~ ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_001,plain,
na = m,
inference(cnf,[status(esa)],[fact_3__C8_C]) ).
thf(zip_derived_cl7051,plain,
! [X0: nat] :
~ ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ m ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2441,zip_derived_cl3]) ).
thf(fact_0_not__min__Null__member,axiom,
! [T: vEBT_VEBT] :
( ~ ( pp @ ( aa_VEBT_VEBT_bool @ vEBT_VEBT_minNull @ T ) )
=> ? [X_1: nat] : ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ T ) @ X_1 ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: vEBT_VEBT] :
( ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ X0 ) @ ( sk_ @ X0 ) ) )
| ( pp @ ( aa_VEBT_VEBT_bool @ vEBT_VEBT_minNull @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_0_not__min__Null__member]) ).
thf(zip_derived_cl7052,plain,
pp @ ( aa_VEBT_VEBT_bool @ vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ m ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7051,zip_derived_cl0]) ).
thf(zip_derived_cl10945,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl7050,zip_derived_cl7052]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : ITP232_1 : TPTP v9.2.0. Released v8.0.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nRYlGOgvsT true
% 0.13/0.35 % Computer : n012.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 15:34:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 36.61/6.05 % Solved by fo/fo3_bce.sh.
% 36.61/6.05 % BCE start: 2442
% 36.61/6.05 % BCE eliminated: 6
% 36.61/6.05 % PE start: 2436
% 36.61/6.05 logic: eq
% 36.61/6.05 % PE eliminated: -4
% 36.61/6.05 % done 1012 iterations in 5.308s
% 36.61/6.05 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 36.61/6.05 % SZS output start Refutation
% See solution above
% 36.61/6.05
% 36.61/6.05
% 36.61/6.05 % Terminating...
% 37.50/6.16 % Runner terminated.
% 37.50/6.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------