%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP131^1 : 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.fQeK6vU9wU 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 04:38:55 PM UTC 2025
% Result : Theorem 3.98s 2.17s
% Output : Refutation 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 81 ( 29 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 299 ( 15 ~; 7 |; 6 &; 252 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 8 usr; 6 con; 0-2 aty)
% ( 6 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 50 ( 18 ^; 32 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(p_type,type,
p: nat > nat ).
thf(i_type,type,
i: nat ).
thf(plus_plus_nat_type,type,
plus_plus_nat: nat > nat > nat ).
thf(ord_less_nat_type,type,
ord_less_nat: nat > nat > $o ).
thf(k_type,type,
k: nat ).
thf(ord_less_eq_nat_type,type,
ord_less_eq_nat: nat > nat > $o ).
thf(times_times_nat_type,type,
times_times_nat: nat > nat > nat ).
thf(n_type,type,
n: nat ).
thf(fact_195_less__imp__le__nat,axiom,
! [M: nat,N: nat] :
( ( ord_less_nat @ M @ N )
=> ( ord_less_eq_nat @ M @ N ) ) ).
thf(zip_derived_cl195,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_nat @ Y0 @ Y1 )
=> ( ord_less_eq_nat @ Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_195_less__imp__le__nat]) ).
thf(zip_derived_cl756,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( ( ord_less_nat @ X2 @ Y0 )
=> ( ord_less_eq_nat @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl195]) ).
thf(zip_derived_cl757,plain,
! [X2: nat,X4: nat] :
( ( ord_less_nat @ X2 @ X4 )
=> ( ord_less_eq_nat @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl756]) ).
thf(zip_derived_cl758,plain,
! [X2: nat,X4: nat] :
( ~ ( ord_less_nat @ X2 @ X4 )
| ( ord_less_eq_nat @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl757]) ).
thf(fact_3_lower__bound,axiom,
ord_less_nat @ n @ ( plus_plus_nat @ ( times_times_nat @ ( p @ i ) @ i ) @ ( times_times_nat @ ( p @ k ) @ k ) ) ).
thf(zip_derived_cl3,plain,
ord_less_nat @ n @ ( plus_plus_nat @ ( times_times_nat @ ( p @ i ) @ i ) @ ( times_times_nat @ ( p @ k ) @ k ) ),
inference(cnf,[status(esa)],[fact_3_lower__bound]) ).
thf(fact_136_mult_Ocommute,axiom,
( times_times_nat
= ( ^ [A2: nat,B2: nat] : ( times_times_nat @ B2 @ A2 ) ) ) ).
thf(zip_derived_cl136,plain,
( times_times_nat
= ( ^ [Y0: nat,Y1: nat] : ( times_times_nat @ Y1 @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_136_mult_Ocommute]) ).
thf(zip_derived_cl220,plain,
! [X1: nat,X2: nat] :
( ( times_times_nat @ X1 @ X2 )
= ( ^ [Y0: nat,Y1: nat] : ( times_times_nat @ Y1 @ Y0 )
@ X1
@ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl136]) ).
thf(zip_derived_cl222,plain,
! [X1: nat,X2: nat] :
( ( times_times_nat @ X1 @ X2 )
= ( times_times_nat @ X2 @ X1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl220]) ).
thf(zip_derived_cl222_001,plain,
! [X1: nat,X2: nat] :
( ( times_times_nat @ X1 @ X2 )
= ( times_times_nat @ X2 @ X1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl220]) ).
thf(zip_derived_cl224,plain,
ord_less_nat @ n @ ( plus_plus_nat @ ( times_times_nat @ i @ ( p @ i ) ) @ ( times_times_nat @ k @ ( p @ k ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl222,zip_derived_cl222]) ).
thf(zip_derived_cl759,plain,
ord_less_eq_nat @ n @ ( plus_plus_nat @ ( times_times_nat @ i @ ( p @ i ) ) @ ( times_times_nat @ k @ ( p @ k ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl758,zip_derived_cl224]) ).
thf(fact_149_le__antisym,axiom,
! [M: nat,N: nat] :
( ( ord_less_eq_nat @ M @ N )
=> ( ( ord_less_eq_nat @ N @ M )
=> ( M = N ) ) ) ).
thf(zip_derived_cl149,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ Y0 @ Y1 )
=> ( ( ord_less_eq_nat @ Y1 @ Y0 )
=> ( Y0 = Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_149_le__antisym]) ).
thf(zip_derived_cl3900,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( ( ord_less_eq_nat @ X2 @ Y0 )
=> ( ( ord_less_eq_nat @ Y0 @ X2 )
=> ( X2 = Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl149]) ).
thf(zip_derived_cl3901,plain,
! [X2: nat,X4: nat] :
( ( ord_less_eq_nat @ X2 @ X4 )
=> ( ( ord_less_eq_nat @ X4 @ X2 )
=> ( X2 = X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3900]) ).
thf(zip_derived_cl3902,plain,
! [X2: nat,X4: nat] :
( ~ ( ord_less_eq_nat @ X2 @ X4 )
| ( ( ord_less_eq_nat @ X4 @ X2 )
=> ( X2 = X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3901]) ).
thf(zip_derived_cl3903,plain,
! [X2: nat,X4: nat] :
( ~ ( ord_less_eq_nat @ X4 @ X2 )
| ( X2 = X4 )
| ~ ( ord_less_eq_nat @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3902]) ).
thf(zip_derived_cl3904,plain,
! [X2: nat,X4: nat] :
( ~ ( ord_less_eq_nat @ X4 @ X2 )
| ( X2 = X4 )
| ~ ( ord_less_eq_nat @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3903]) ).
thf(zip_derived_cl3906,plain,
( ~ ( ord_less_eq_nat @ ( plus_plus_nat @ ( times_times_nat @ i @ ( p @ i ) ) @ ( times_times_nat @ k @ ( p @ k ) ) ) @ n )
| ( ( plus_plus_nat @ ( times_times_nat @ i @ ( p @ i ) ) @ ( times_times_nat @ k @ ( p @ k ) ) )
= n ) ),
inference('sup-',[status(thm)],[zip_derived_cl759,zip_derived_cl3904]) ).
thf(fact_2_upper__bound,axiom,
ord_less_eq_nat @ ( plus_plus_nat @ ( times_times_nat @ ( p @ i ) @ i ) @ ( times_times_nat @ ( p @ k ) @ k ) ) @ n ).
thf(zip_derived_cl2,plain,
ord_less_eq_nat @ ( plus_plus_nat @ ( times_times_nat @ ( p @ i ) @ i ) @ ( times_times_nat @ ( p @ k ) @ k ) ) @ n,
inference(cnf,[status(esa)],[fact_2_upper__bound]) ).
thf(zip_derived_cl222_002,plain,
! [X1: nat,X2: nat] :
( ( times_times_nat @ X1 @ X2 )
= ( times_times_nat @ X2 @ X1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl220]) ).
thf(zip_derived_cl222_003,plain,
! [X1: nat,X2: nat] :
( ( times_times_nat @ X1 @ X2 )
= ( times_times_nat @ X2 @ X1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl220]) ).
thf(zip_derived_cl223,plain,
ord_less_eq_nat @ ( plus_plus_nat @ ( times_times_nat @ i @ ( p @ i ) ) @ ( times_times_nat @ k @ ( p @ k ) ) ) @ n,
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl222,zip_derived_cl222]) ).
thf(zip_derived_cl3962,plain,
( ( plus_plus_nat @ ( times_times_nat @ i @ ( p @ i ) ) @ ( times_times_nat @ k @ ( p @ k ) ) )
= n ),
inference(demod,[status(thm)],[zip_derived_cl3906,zip_derived_cl223]) ).
thf(zip_derived_cl759_004,plain,
ord_less_eq_nat @ n @ ( plus_plus_nat @ ( times_times_nat @ i @ ( p @ i ) ) @ ( times_times_nat @ k @ ( p @ k ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl758,zip_derived_cl224]) ).
thf(fact_196_nat__less__le,axiom,
( ord_less_nat
= ( ^ [M3: nat,N3: nat] :
( ( M3 != N3 )
& ( ord_less_eq_nat @ M3 @ N3 ) ) ) ) ).
thf(zip_derived_cl196,plain,
( ord_less_nat
= ( ^ [Y0: nat,Y1: nat] :
( ( Y0 != Y1 )
& ( ord_less_eq_nat @ Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_196_nat__less__le]) ).
thf(zip_derived_cl722,plain,
! [X1: nat,X2: nat] :
( ( ord_less_nat @ X1 @ X2 )
= ( ^ [Y0: nat,Y1: nat] :
( ( Y0 != Y1 )
& ( ord_less_eq_nat @ Y0 @ Y1 ) )
@ X1
@ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl196]) ).
thf(zip_derived_cl724,plain,
! [X1: nat,X2: nat] :
( ( ord_less_nat @ X1 @ X2 )
= ( ( X1 != X2 )
& ( ord_less_eq_nat @ X1 @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl722]) ).
thf(zip_derived_cl1281,plain,
( ( ord_less_nat @ n @ ( plus_plus_nat @ ( times_times_nat @ i @ ( p @ i ) ) @ ( times_times_nat @ k @ ( p @ k ) ) ) )
= ( ( n
!= ( plus_plus_nat @ ( times_times_nat @ i @ ( p @ i ) ) @ ( times_times_nat @ k @ ( p @ k ) ) ) )
& $true ) ),
inference('sup+',[status(thm)],[zip_derived_cl759,zip_derived_cl724]) ).
thf(zip_derived_cl224_005,plain,
ord_less_nat @ n @ ( plus_plus_nat @ ( times_times_nat @ i @ ( p @ i ) ) @ ( times_times_nat @ k @ ( p @ k ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl222,zip_derived_cl222]) ).
thf(zip_derived_cl1288,plain,
( ( n
!= ( plus_plus_nat @ ( times_times_nat @ i @ ( p @ i ) ) @ ( times_times_nat @ k @ ( p @ k ) ) ) )
& $true ),
inference(demod,[status(thm)],[zip_derived_cl1281,zip_derived_cl224]) ).
thf(zip_derived_cl1289,plain,
( n
!= ( plus_plus_nat @ ( times_times_nat @ i @ ( p @ i ) ) @ ( times_times_nat @ k @ ( p @ k ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1288]) ).
thf(zip_derived_cl1290,plain,
( n
!= ( plus_plus_nat @ ( times_times_nat @ i @ ( p @ i ) ) @ ( times_times_nat @ k @ ( p @ k ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1289]) ).
thf(zip_derived_cl3963,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3962,zip_derived_cl1290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.15 % Problem : ITP131^1 : TPTP v9.2.0. Released v7.5.0.
% 0.06/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fQeK6vU9wU true
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8042.1875MB
% 0.10/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Oct 1 15:24:38 EDT 2025
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Running portfolio for 300 s
% 0.10/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Number of cores: 8
% 0.10/0.38 % Python version: Python 3.6.8
% 0.10/0.39 % Running in HO mode
% 0.49/0.76 % Total configuration time : 828
% 0.49/0.76 % Estimated wc time : 1656
% 0.49/0.76 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.87 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/1.11 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/1.16 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/1.18 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.72/1.19 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.72/1.21 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.72/1.22 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.72/1.24 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 2.10/1.43 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 2.27/1.56 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 2.35/1.65 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 2.35/1.66 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s
% 2.35/1.68 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s
% 2.35/1.69 % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s
% 2.47/1.76 % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s
% 3.01/1.86 % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s
% 3.43/1.97 % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 16s
% 3.98/2.17 % Solved by lams/35_full_unif4.sh.
% 3.98/2.17 % done 343 iterations in 1.244s
% 3.98/2.17 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.98/2.17 % SZS output start Refutation
% See solution above
% 3.98/2.17
% 3.98/2.17
% 3.98/2.17 % Terminating...
% 4.38/2.40 % Runner terminated.
% 4.42/2.44 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------