%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP105^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VN3eFKaPTM true
% Computer : n007.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 04:38:51 PM UTC 2025
% Result : Theorem 0.52s 1.20s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 26 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 101 ( 17 ~; 4 |; 0 &; 68 @)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-2 aty)
% ( 5 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 20 ( 5 ^; 15 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(list_list_a_type,type,
list_list_a: $tType ).
thf(list_a_type,type,
list_a: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(zero_zero_nat_type,type,
zero_zero_nat: nat ).
thf(k_type,type,
k: nat ).
thf(listSl97544552lice_a_type,type,
listSl97544552lice_a: list_a > nat > list_list_a ).
thf(ord_less_nat_type,type,
ord_less_nat: nat > nat > $o ).
thf(nil_a_type,type,
nil_a: list_a ).
thf(size_size_list_a_type,type,
size_size_list_a: list_a > nat ).
thf(nil_list_a_type,type,
nil_list_a: list_list_a ).
thf(conj_0,conjecture,
( ( listSl97544552lice_a @ nil_a @ k )
= nil_list_a ) ).
thf(zf_stmt_0,negated_conjecture,
( ( listSl97544552lice_a @ nil_a @ k )
!= nil_list_a ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl349,plain,
( ( listSl97544552lice_a @ nil_a @ k )
!= nil_list_a ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_9_list__slice__less,axiom,
! [Xs: list_a,K: nat] :
( ( ord_less_nat @ ( size_size_list_a @ Xs ) @ K )
=> ( ( listSl97544552lice_a @ Xs @ K )
= nil_list_a ) ) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: list_a] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_nat @ ( size_size_list_a @ Y0 ) @ Y1 )
=> ( ( listSl97544552lice_a @ Y0 @ Y1 )
= nil_list_a ) ) ) ),
inference(cnf,[status(esa)],[fact_9_list__slice__less]) ).
thf(zip_derived_cl399,plain,
! [X2: list_a] :
( !!
@ ^ [Y0: nat] :
( ( ord_less_nat @ ( size_size_list_a @ X2 ) @ Y0 )
=> ( ( listSl97544552lice_a @ X2 @ Y0 )
= nil_list_a ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl400,plain,
! [X2: list_a,X4: nat] :
( ( ord_less_nat @ ( size_size_list_a @ X2 ) @ X4 )
=> ( ( listSl97544552lice_a @ X2 @ X4 )
= nil_list_a ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl399]) ).
thf(zip_derived_cl401,plain,
! [X2: list_a,X4: nat] :
( ~ ( ord_less_nat @ ( size_size_list_a @ X2 ) @ X4 )
| ( ( listSl97544552lice_a @ X2 @ X4 )
= nil_list_a ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl400]) ).
thf(zip_derived_cl402,plain,
! [X2: list_a,X4: nat] :
( ~ ( ord_less_nat @ ( size_size_list_a @ X2 ) @ X4 )
| ( ( listSl97544552lice_a @ X2 @ X4 )
= nil_list_a ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl401]) ).
thf(zip_derived_cl349_001,plain,
( ( listSl97544552lice_a @ nil_a @ k )
!= nil_list_a ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl403,plain,
( ( nil_list_a != nil_list_a )
| ~ ( ord_less_nat @ ( size_size_list_a @ nil_a ) @ k ) ),
inference('sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl349]) ).
thf(fact_57_list_Osize_I3_J,axiom,
( ( size_size_list_a @ nil_a )
= zero_zero_nat ) ).
thf(zip_derived_cl57,plain,
( ( size_size_list_a @ nil_a )
= zero_zero_nat ),
inference(cnf,[status(esa)],[fact_57_list_Osize_I3_J]) ).
thf(zip_derived_cl405,plain,
( ( nil_list_a != nil_list_a )
| ~ ( ord_less_nat @ zero_zero_nat @ k ) ),
inference(demod,[status(thm)],[zip_derived_cl403,zip_derived_cl57]) ).
thf(zip_derived_cl406,plain,
~ ( ord_less_nat @ zero_zero_nat @ k ),
inference(simplify,[status(thm)],[zip_derived_cl405]) ).
thf(fact_63_neq0__conv,axiom,
! [N: nat] :
( ( N != zero_zero_nat )
<=> ( ord_less_nat @ zero_zero_nat @ N ) ) ).
thf(zip_derived_cl63,plain,
( !!
@ ^ [Y0: nat] :
( ( Y0 != zero_zero_nat )
<=> ( ord_less_nat @ zero_zero_nat @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_63_neq0__conv]) ).
thf(zip_derived_cl625,plain,
! [X2: nat] :
( ( X2 != zero_zero_nat )
<=> ( ord_less_nat @ zero_zero_nat @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl626,plain,
! [X2: nat] :
( ( X2 != zero_zero_nat )
= ( ord_less_nat @ zero_zero_nat @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl625]) ).
thf(zip_derived_cl630,plain,
~ ( ( k != zero_zero_nat ) ),
inference('sup+',[status(thm)],[zip_derived_cl406,zip_derived_cl626]) ).
thf(zip_derived_cl644,plain,
k = zero_zero_nat,
inference('simplify nested equalities',[status(thm)],[zip_derived_cl630]) ).
thf(fact_1_list__slice__0,axiom,
! [Xs: list_a] :
( ( listSl97544552lice_a @ Xs @ zero_zero_nat )
= nil_list_a ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: list_a] :
( ( listSl97544552lice_a @ Y0 @ zero_zero_nat )
= nil_list_a ) ),
inference(cnf,[status(esa)],[fact_1_list__slice__0]) ).
thf(zip_derived_cl355,plain,
! [X2: list_a] :
( ( listSl97544552lice_a @ X2 @ zero_zero_nat )
= nil_list_a ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl356,plain,
! [X2: list_a] :
( ( listSl97544552lice_a @ X2 @ zero_zero_nat )
= nil_list_a ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl355]) ).
thf(zip_derived_cl656,plain,
nil_list_a != nil_list_a,
inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl644,zip_derived_cl356]) ).
thf(zip_derived_cl657,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl656]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : ITP105^1 : TPTP v9.2.0. Released v7.5.0.
% 0.05/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VN3eFKaPTM true
% 0.10/0.32 % Computer : n007.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 15:24:53 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.33 % Number of cores: 8
% 0.10/0.33 % Python version: Python 3.6.8
% 0.10/0.33 % Running in HO mode
% 0.49/0.63 % Total configuration time : 828
% 0.49/0.63 % Estimated wc time : 1656
% 0.49/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.86 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.86 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.87 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.90 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.92 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.92 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.96 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.52/1.17 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.52/1.20 % Solved by lams/35_full_unif4.sh.
% 0.52/1.20 % done 163 iterations in 0.281s
% 0.52/1.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/1.20 % SZS output start Refutation
% See solution above
% 0.52/1.20
% 0.52/1.20
% 0.52/1.20 % Terminating...
% 3.19/1.45 % Runner terminated.
% 3.19/1.46 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------