%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP059^1 : 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.CUXmQu40fI true
% Computer : n008.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 81.24s 10.94s
% Output : Refutation 81.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of formulae : 30 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 64 ( 14 equ; 1 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 207 ( 4 ~; 2 |; 0 &; 170 @)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 13 usr; 9 con; 0-4 aty)
% ( 16 !!; 1 ??; 0 @@+; 0 @@-)
% Number of variables : 34 ( 17 ^; 16 !; 1 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(list_c1059388851t_unit_type,type,
list_c1059388851t_unit: $tType ).
thf(list_message_p_v_type,type,
list_message_p_v: $tType ).
thf(message_p_v_type,type,
message_p_v: $tType ).
thf(zero_zero_nat_type,type,
zero_zero_nat: nat ).
thf(size_s1406904903t_unit_type,type,
size_s1406904903t_unit: list_c1059388851t_unit > nat ).
thf(minus_minus_nat_type,type,
minus_minus_nat: nat > nat > nat ).
thf(msg_type,type,
msg: message_p_v ).
thf(nMsg_type,type,
nMsg: nat ).
thf(ft_type,type,
ft: nat > list_message_p_v ).
thf(fe_type,type,
fe: nat > list_c1059388851t_unit ).
thf(suc_type,type,
suc: nat > nat ).
thf(firstO1414030372_p_v_s_type,type,
firstO1414030372_p_v_s: list_c1059388851t_unit > list_message_p_v > message_p_v > nat > $o ).
thf(ord_less_eq_nat_type,type,
ord_less_eq_nat: nat > nat > $o ).
thf(ord_less_nat_type,type,
ord_less_nat: nat > nat > $o ).
thf(one_one_nat_type,type,
one_one_nat: nat ).
thf(index_type,type,
index: nat ).
thf(fact_86_minus__nat_Odiff__0,axiom,
! [M: nat] :
( ( minus_minus_nat @ M @ zero_zero_nat )
= M ) ).
thf(zip_derived_cl86,plain,
( !!
@ ^ [Y0: nat] :
( ( minus_minus_nat @ Y0 @ zero_zero_nat )
= Y0 ) ),
inference(cnf,[status(esa)],[fact_86_minus__nat_Odiff__0]) ).
thf(fact_98_Suc__diff__Suc,axiom,
! [N2: nat,M: nat] :
( ( ord_less_nat @ N2 @ M )
=> ( ( suc @ ( minus_minus_nat @ M @ ( suc @ N2 ) ) )
= ( minus_minus_nat @ M @ N2 ) ) ) ).
thf(zip_derived_cl98,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_nat @ Y0 @ Y1 )
=> ( ( suc @ ( minus_minus_nat @ Y1 @ ( suc @ Y0 ) ) )
= ( minus_minus_nat @ Y1 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_98_Suc__diff__Suc]) ).
thf(fact_193_One__nat__def,axiom,
( one_one_nat
= ( suc @ zero_zero_nat ) ) ).
thf(zip_derived_cl193,plain,
( one_one_nat
= ( suc @ zero_zero_nat ) ),
inference(cnf,[status(esa)],[fact_193_One__nat__def]) ).
thf(fact_125_diff__is__0__eq_H,axiom,
! [M: nat,N2: nat] :
( ( ord_less_eq_nat @ M @ N2 )
=> ( ( minus_minus_nat @ M @ N2 )
= zero_zero_nat ) ) ).
thf(zip_derived_cl125,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ Y0 @ Y1 )
=> ( ( minus_minus_nat @ Y0 @ Y1 )
= zero_zero_nat ) ) ) ),
inference(cnf,[status(esa)],[fact_125_diff__is__0__eq_H]) ).
thf(fact_3_AssumptionSubset_I3_J,axiom,
firstO1414030372_p_v_s @ ( fe @ ( suc @ index ) ) @ ( ft @ ( suc @ index ) ) @ msg @ nMsg ).
thf(zip_derived_cl3,plain,
firstO1414030372_p_v_s @ ( fe @ ( suc @ index ) ) @ ( ft @ ( suc @ index ) ) @ msg @ nMsg,
inference(cnf,[status(esa)],[fact_3_AssumptionSubset_I3_J]) ).
thf(fact_88_less__imp__diff__less,axiom,
! [J: nat,K: nat,N2: nat] :
( ( ord_less_nat @ J @ K )
=> ( ord_less_nat @ ( minus_minus_nat @ J @ N2 ) @ K ) ) ).
thf(zip_derived_cl88,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( ord_less_nat @ Y0 @ Y1 )
=> ( ord_less_nat @ ( minus_minus_nat @ Y0 @ Y2 ) @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_88_less__imp__diff__less]) ).
thf(conj_0,conjecture,
ord_less_nat @ ( minus_minus_nat @ nMsg @ ( suc @ zero_zero_nat ) ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ index ) ) @ ( suc @ zero_zero_nat ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ord_less_nat @ ( minus_minus_nat @ nMsg @ ( suc @ zero_zero_nat ) ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ index ) ) @ ( suc @ zero_zero_nat ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl244,plain,
~ ( ord_less_nat @ ( minus_minus_nat @ nMsg @ ( suc @ zero_zero_nat ) ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ index ) ) @ ( suc @ zero_zero_nat ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_25_lessI,axiom,
! [N2: nat] : ( ord_less_nat @ N2 @ ( suc @ N2 ) ) ).
thf(zip_derived_cl25,plain,
( !!
@ ^ [Y0: nat] : ( ord_less_nat @ Y0 @ ( suc @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_25_lessI]) ).
thf(fact_167_less__or__eq__imp__le,axiom,
! [M: nat,N2: nat] :
( ( ( M = N2 )
| ( ord_less_nat @ M @ N2 ) )
=> ( ord_less_eq_nat @ M @ N2 ) ) ).
thf(zip_derived_cl167,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ( Y0 = Y1 )
| ( ord_less_nat @ Y0 @ Y1 ) )
=> ( ord_less_eq_nat @ Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_167_less__or__eq__imp__le]) ).
thf(fact_4_SmallIndex,axiom,
! [NMsg: nat] :
( ( firstO1414030372_p_v_s @ ( fe @ ( suc @ index ) ) @ ( ft @ ( suc @ index ) ) @ msg @ NMsg )
=> ( ord_less_nat @ NMsg @ ( size_s1406904903t_unit @ ( fe @ index ) ) ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: nat] :
( ( firstO1414030372_p_v_s @ ( fe @ ( suc @ index ) ) @ ( ft @ ( suc @ index ) ) @ msg @ Y0 )
=> ( ord_less_nat @ Y0 @ ( size_s1406904903t_unit @ ( fe @ index ) ) ) ) ),
inference(cnf,[status(esa)],[fact_4_SmallIndex]) ).
thf(fact_69_not__less__eq,axiom,
! [M: nat,N2: nat] :
( ~ ( ord_less_nat @ M @ N2 )
<=> ( ord_less_nat @ N2 @ ( suc @ M ) ) ) ).
thf(zip_derived_cl69,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( (~) @ ( ord_less_nat @ Y0 @ Y1 ) )
<=> ( ord_less_nat @ Y1 @ ( suc @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_69_not__less__eq]) ).
thf(fact_0_AssumpOcc6_I1_J,axiom,
ord_less_nat @ zero_zero_nat @ nMsg ).
thf(zip_derived_cl0,plain,
ord_less_nat @ zero_zero_nat @ nMsg,
inference(cnf,[status(esa)],[fact_0_AssumpOcc6_I1_J]) ).
thf(fact_127_diff__Suc__1,axiom,
! [N2: nat] :
( ( minus_minus_nat @ ( suc @ N2 ) @ one_one_nat )
= N2 ) ).
thf(zip_derived_cl127,plain,
( !!
@ ^ [Y0: nat] :
( ( minus_minus_nat @ ( suc @ Y0 ) @ one_one_nat )
= Y0 ) ),
inference(cnf,[status(esa)],[fact_127_diff__Suc__1]) ).
thf(fact_95_gr0__conv__Suc,axiom,
! [N2: nat] :
( ( ord_less_nat @ zero_zero_nat @ N2 )
<=> ? [M5: nat] :
( N2
= ( suc @ M5 ) ) ) ).
thf(zip_derived_cl95,plain,
( !!
@ ^ [Y0: nat] :
( ( ord_less_nat @ zero_zero_nat @ Y0 )
<=> ( ??
@ ^ [Y1: nat] :
( Y0
= ( suc @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_95_gr0__conv__Suc]) ).
thf(zip_derived_cl1036,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl86,zip_derived_cl98,zip_derived_cl193,zip_derived_cl125,zip_derived_cl3,zip_derived_cl88,zip_derived_cl244,zip_derived_cl25,zip_derived_cl167,zip_derived_cl4,zip_derived_cl69,zip_derived_cl0,zip_derived_cl127,zip_derived_cl95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP059^1 : TPTP v9.2.0. Released v7.5.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CUXmQu40fI true
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 15:34:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.57/0.68 % Total configuration time : 828
% 0.57/0.68 % Estimated wc time : 1656
% 0.57/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 81.24/10.94 % Solved by lams/15_e_short1.sh.
% 81.24/10.94 % done 16 iterations in 10.135s
% 81.24/10.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 81.24/10.94 % SZS output start Refutation
% See solution above
% 81.24/10.94
% 81.24/10.94
% 81.24/10.94 % Terminating...
% 81.43/11.08 % Runner terminated.
% 81.43/11.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------