%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP061^1 : 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.sF2HPJyQPa 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 04:38:42 PM UTC 2025
% Result : Theorem 22.49s 4.59s
% Output : Refutation 22.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 13 equ; 2 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 139 ( 7 ~; 1 |; 0 &; 111 @)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 9 usr; 7 con; 0-2 aty)
% ( 9 !!; 1 ??; 0 @@+; 0 @@-)
% Number of variables : 29 ( 13 ^; 15 !; 1 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(list_c1059388851t_unit_type,type,
list_c1059388851t_unit: $tType ).
thf(minus_minus_nat_type,type,
minus_minus_nat: nat > nat > nat ).
thf(suc_type,type,
suc: nat > nat ).
thf(ord_less_nat_type,type,
ord_less_nat: nat > nat > $o ).
thf(size_s1406904903t_unit_type,type,
size_s1406904903t_unit: list_c1059388851t_unit > nat ).
thf(fe_type,type,
fe: nat > list_c1059388851t_unit ).
thf(ord_less_eq_nat_type,type,
ord_less_eq_nat: nat > nat > $o ).
thf(occM2_type,type,
occM2: nat ).
thf(one_one_nat_type,type,
one_one_nat: nat ).
thf(index_type,type,
index: nat ).
thf(fact_0_AssumpOccMFirstOccurrence_I3_J,axiom,
ord_less_nat @ occM2 @ ( size_s1406904903t_unit @ ( fe @ index ) ) ).
thf(zip_derived_cl0,plain,
ord_less_nat @ occM2 @ ( size_s1406904903t_unit @ ( fe @ index ) ),
inference(cnf,[status(esa)],[fact_0_AssumpOccMFirstOccurrence_I3_J]) ).
thf(fact_64_less__eq__Suc__le,axiom,
( ord_less_nat
= ( ^ [N3: nat] : ( ord_less_eq_nat @ ( suc @ N3 ) ) ) ) ).
thf(zip_derived_cl64,plain,
( ord_less_nat
= ( ^ [Y0: nat] : ( ord_less_eq_nat @ ( suc @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_64_less__eq__Suc__le]) ).
thf(zip_derived_cl244,plain,
! [X1: nat,X2: nat] :
( ( ord_less_nat @ X1 @ X2 )
= ( ^ [Y0: nat] : ( ord_less_eq_nat @ ( suc @ Y0 ) )
@ X1
@ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl246,plain,
! [X1: nat,X2: nat] :
( ( ord_less_nat @ X1 @ X2 )
= ( ord_less_eq_nat @ ( suc @ X1 ) @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl244]) ).
thf(zip_derived_cl250,plain,
! [X1: nat,X2: nat] :
( ~ ( ord_less_nat @ X1 @ X2 )
| ( ord_less_eq_nat @ ( suc @ X1 ) @ X2 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl246]) ).
thf(zip_derived_cl281,plain,
ord_less_eq_nat @ ( suc @ occM2 ) @ ( size_s1406904903t_unit @ ( fe @ index ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl250]) ).
thf(fact_24_diff__Suc__1,axiom,
! [N: nat] :
( ( minus_minus_nat @ ( suc @ N ) @ one_one_nat )
= N ) ).
thf(zip_derived_cl24,plain,
( !!
@ ^ [Y0: nat] :
( ( minus_minus_nat @ ( suc @ Y0 ) @ one_one_nat )
= Y0 ) ),
inference(cnf,[status(esa)],[fact_24_diff__Suc__1]) ).
thf(conj_0,conjecture,
( occM2
= ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ index ) ) @ one_one_nat ) ) ).
thf(zf_stmt_0,negated_conjecture,
( occM2
!= ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ index ) ) @ one_one_nat ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl235,plain,
( occM2
!= ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ index ) ) @ one_one_nat ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_1__092_060open_062length_A_Ife_Aindex_J_A_N_A1_A_092_060le_062_AOccM_092_060close_062,axiom,
ord_less_eq_nat @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ index ) ) @ one_one_nat ) @ occM2 ).
thf(zip_derived_cl1,plain,
ord_less_eq_nat @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ index ) ) @ one_one_nat ) @ occM2,
inference(cnf,[status(esa)],[fact_1__092_060open_062length_A_Ife_Aindex_J_A_N_A1_A_092_060le_062_AOccM_092_060close_062]) ).
thf(fact_68_not__less__eq__eq,axiom,
! [M: nat,N: nat] :
( ~ ( ord_less_eq_nat @ M @ N )
<=> ( ord_less_eq_nat @ ( suc @ N ) @ M ) ) ).
thf(zip_derived_cl68,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( (~) @ ( ord_less_eq_nat @ Y0 @ Y1 ) )
<=> ( ord_less_eq_nat @ ( suc @ Y1 ) @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_68_not__less__eq__eq]) ).
thf(fact_31_Suc__le__D,axiom,
! [N: nat,M2: nat] :
( ( ord_less_eq_nat @ ( suc @ N ) @ M2 )
=> ? [M3: nat] :
( M2
= ( suc @ M3 ) ) ) ).
thf(zip_derived_cl31,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ ( suc @ Y0 ) @ Y1 )
=> ( ??
@ ^ [Y2: nat] :
( Y1
= ( suc @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_31_Suc__le__D]) ).
thf(fact_211_not__le,axiom,
! [X: nat,Y: nat] :
( ~ ( ord_less_eq_nat @ X @ Y )
<=> ( ord_less_nat @ Y @ X ) ) ).
thf(zip_derived_cl211,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( (~) @ ( ord_less_eq_nat @ Y0 @ Y1 ) )
<=> ( ord_less_nat @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_211_not__le]) ).
thf(fact_62_le__less__Suc__eq,axiom,
! [M: nat,N: nat] :
( ( ord_less_eq_nat @ M @ N )
=> ( ( ord_less_nat @ N @ ( suc @ M ) )
<=> ( N = M ) ) ) ).
thf(zip_derived_cl62,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ Y0 @ Y1 )
=> ( ( ord_less_nat @ Y1 @ ( suc @ Y0 ) )
<=> ( Y1 = Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_62_le__less__Suc__eq]) ).
thf(zip_derived_cl1328,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl281,zip_derived_cl24,zip_derived_cl235,zip_derived_cl1,zip_derived_cl68,zip_derived_cl31,zip_derived_cl211,zip_derived_cl62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ITP061^1 : TPTP v9.2.0. Released v7.5.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sF2HPJyQPa true
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 15:31:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.17/0.33 % Python version: Python 3.6.8
% 0.17/0.33 % Running in HO mode
% 0.50/0.64 % Total configuration time : 828
% 0.50/0.64 % Estimated wc time : 1656
% 0.50/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.83 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.84 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.84 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.85 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.86 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.52/0.88 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.52/0.89 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/1.11 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 22.49/4.59 % Solved by lams/15_e_short1.sh.
% 22.49/4.59 % done 165 iterations in 3.702s
% 22.49/4.59 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 22.49/4.59 % SZS output start Refutation
% See solution above
% 22.49/4.59
% 22.49/4.59
% 22.49/4.59 % Terminating...
% 22.97/4.75 % Runner terminated.
% 22.97/4.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------