%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP134^1 : 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.YYwvCEDxGb true
% Computer : n029.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 04:38:56 PM UTC 2025
% Result : Theorem 0.53s 0.90s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 5 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 114 ( 5 ~; 3 |; 5 &; 88 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 9 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 5 con; 0-2 aty)
% ( 6 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 25 ( 17 ^; 8 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_nat_nat_type,type,
set_nat_nat: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(ord_le1415039317at_nat_type,type,
ord_le1415039317at_nat: set_nat_nat > set_nat_nat > $o ).
thf(number1551313001itions_type,type,
number1551313001itions: ( nat > nat ) > nat > $o ).
thf(n_type,type,
n: nat ).
thf(collect_nat_nat_type,type,
collect_nat_nat: ( ( nat > nat ) > $o ) > set_nat_nat ).
thf(ord_less_eq_nat_type,type,
ord_less_eq_nat: nat > nat > $o ).
thf(zero_zero_nat_type,type,
zero_zero_nat: nat ).
thf(one_one_nat_type,type,
one_one_nat: nat ).
thf(plus_plus_nat_type,type,
plus_plus_nat: nat > nat > nat ).
thf(finite570312790at_nat_type,type,
finite570312790at_nat: set_nat_nat > $o ).
thf(fact_1__092_060open_062_123p_O_Ap_Apartitions_An_125_A_092_060subseteq_062_A_123f_O_A_I_092_060forall_062i_O_Af_Ai_A_092_060le_062_An_J_A_092_060and_062_A_I_092_060forall_062i_092_060ge_062n_A_L_A1_O_Af_Ai_A_061_A0_J_125_092_060close_062,axiom,
( ord_le1415039317at_nat
@ ( collect_nat_nat
@ ^ [P: nat > nat] : ( number1551313001itions @ P @ n ) )
@ ( collect_nat_nat
@ ^ [F: nat > nat] :
( ! [I: nat] :
( ( ord_less_eq_nat @ ( plus_plus_nat @ n @ one_one_nat ) @ I )
=> ( ( F @ I )
= zero_zero_nat ) )
& ! [I: nat] : ( ord_less_eq_nat @ ( F @ I ) @ n ) ) ) ) ).
thf(zip_derived_cl1,plain,
( ord_le1415039317at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] : ( number1551313001itions @ Y0 @ n ) )
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] :
( ( !!
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ ( plus_plus_nat @ n @ one_one_nat ) @ Y1 )
=> ( ( Y0 @ Y1 )
= zero_zero_nat ) ) )
& ( !!
@ ^ [Y1: nat] : ( ord_less_eq_nat @ ( Y0 @ Y1 ) @ n ) ) ) ) ),
inference(cnf,[status(esa)],[fact_1__092_060open_062_123p_O_Ap_Apartitions_An_125_A_092_060subseteq_062_A_123f_O_A_I_092_060forall_062i_O_Af_Ai_A_092_060le_062_An_J_A_092_060and_062_A_I_092_060forall_062i_092_060ge_062n_A_L_A1_O_Af_Ai_A_061_A0_J_125_092_060close_062]) ).
thf(fact_62_rev__finite__subset,axiom,
! [B: set_nat_nat,A: set_nat_nat] :
( ( finite570312790at_nat @ B )
=> ( ( ord_le1415039317at_nat @ A @ B )
=> ( finite570312790at_nat @ A ) ) ) ).
thf(zip_derived_cl101,plain,
! [X0: set_nat_nat,X1: set_nat_nat] :
( ~ ( finite570312790at_nat @ X0 )
| ( finite570312790at_nat @ X1 )
| ~ ( ord_le1415039317at_nat @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_62_rev__finite__subset]) ).
thf(zip_derived_cl616,plain,
( ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] : ( number1551313001itions @ Y0 @ n ) ) )
| ~ ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] :
( ( !!
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ ( plus_plus_nat @ n @ one_one_nat ) @ Y1 )
=> ( ( Y0 @ Y1 )
= zero_zero_nat ) ) )
& ( !!
@ ^ [Y1: nat] : ( ord_less_eq_nat @ ( Y0 @ Y1 ) @ n ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl101]) ).
thf(conj_0,conjecture,
( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [P: nat > nat] : ( number1551313001itions @ P @ n ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [P: nat > nat] : ( number1551313001itions @ P @ n ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl560,plain,
~ ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] : ( number1551313001itions @ Y0 @ n ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_0__092_060open_062finite_A_123f_O_A_I_092_060forall_062i_O_Af_Ai_A_092_060le_062_An_J_A_092_060and_062_A_I_092_060forall_062i_092_060ge_062n_A_L_A1_O_Af_Ai_A_061_A0_J_125_092_060close_062,axiom,
( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [F: nat > nat] :
( ! [I: nat] :
( ( ord_less_eq_nat @ ( plus_plus_nat @ n @ one_one_nat ) @ I )
=> ( ( F @ I )
= zero_zero_nat ) )
& ! [I: nat] : ( ord_less_eq_nat @ ( F @ I ) @ n ) ) ) ) ).
thf(zip_derived_cl0,plain,
( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] :
( ( !!
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ ( plus_plus_nat @ n @ one_one_nat ) @ Y1 )
=> ( ( Y0 @ Y1 )
= zero_zero_nat ) ) )
& ( !!
@ ^ [Y1: nat] : ( ord_less_eq_nat @ ( Y0 @ Y1 ) @ n ) ) ) ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062finite_A_123f_O_A_I_092_060forall_062i_O_Af_Ai_A_092_060le_062_An_J_A_092_060and_062_A_I_092_060forall_062i_092_060ge_062n_A_L_A1_O_Af_Ai_A_061_A0_J_125_092_060close_062]) ).
thf(zip_derived_cl619,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl616,zip_derived_cl560,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : ITP134^1 : TPTP v9.2.0. Released v7.5.0.
% 0.09/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YYwvCEDxGb true
% 0.13/0.36 % Computer : n029.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 15:32:53 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 % Number of cores: 8
% 0.13/0.37 % Python version: Python 3.6.8
% 0.13/0.37 % Running in HO mode
% 0.51/0.63 % Total configuration time : 828
% 0.51/0.63 % Estimated wc time : 1656
% 0.51/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.53/0.87 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.53/0.90 % Solved by lams/40_c.s.sh.
% 0.53/0.90 % done 49 iterations in 0.147s
% 0.53/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.90 % SZS output start Refutation
% See solution above
% 0.53/0.90
% 0.53/0.90
% 0.53/0.90 % Terminating...
% 0.55/0.99 % Runner terminated.
% 0.55/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------