%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP151^1 : 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.f8hn9KJt6z 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 04:38:59 PM UTC 2025
% Result : Theorem 27.69s 4.16s
% Output : Refutation 28.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 24 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 27 equ; 2 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 107 ( 18 ~; 0 |; 0 &; 60 @)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 7 usr; 7 con; 0-2 aty)
% ( 12 !!; 3 ??; 0 @@+; 0 @@-)
% Number of variables : 30 ( 15 ^; 12 !; 3 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(polyno727731844poly_a_type,type,
polyno727731844poly_a: $tType ).
thf(ord_less_nat_type,type,
ord_less_nat: nat > nat > $o ).
thf(zero_zero_nat_type,type,
zero_zero_nat: nat ).
thf(p_type,type,
p: polyno727731844poly_a ).
thf(suc_type,type,
suc: nat > nat ).
thf(n_type,type,
n: nat ).
thf(polyno1372495879olyh_a_type,type,
polyno1372495879olyh_a: polyno727731844poly_a > nat > $o ).
thf(polyno578545843gree_a_type,type,
polyno578545843gree_a: polyno727731844poly_a > nat ).
thf(conj_2,conjecture,
( ( polyno578545843gree_a @ p )
= zero_zero_nat ) ).
thf(zf_stmt_0,negated_conjecture,
( ( polyno578545843gree_a @ p )
!= zero_zero_nat ),
inference('cnf.neg',[status(esa)],[conj_2]) ).
thf(zip_derived_cl350,plain,
( ( polyno578545843gree_a @ p )
!= zero_zero_nat ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(conj_1,axiom,
polyno1372495879olyh_a @ p @ n ).
thf(zip_derived_cl349,plain,
polyno1372495879olyh_a @ p @ n,
inference(cnf,[status(esa)],[conj_1]) ).
thf(fact_31_degree__isnpolyh__Suc,axiom,
! [P3: polyno727731844poly_a,N: nat] :
( ( polyno1372495879olyh_a @ P3 @ ( suc @ N ) )
=> ( ( polyno578545843gree_a @ P3 )
= zero_zero_nat ) ) ).
thf(zip_derived_cl31,plain,
( !!
@ ^ [Y0: polyno727731844poly_a] :
( !!
@ ^ [Y1: nat] :
( ( polyno1372495879olyh_a @ Y0 @ ( suc @ Y1 ) )
=> ( ( polyno578545843gree_a @ Y0 )
= zero_zero_nat ) ) ) ),
inference(cnf,[status(esa)],[fact_31_degree__isnpolyh__Suc]) ).
thf(fact_69_not0__implies__Suc,axiom,
! [N: nat] :
( ( N != zero_zero_nat )
=> ? [M3: nat] :
( N
= ( suc @ M3 ) ) ) ).
thf(zip_derived_cl69,plain,
( !!
@ ^ [Y0: nat] :
( ( Y0 != zero_zero_nat )
=> ( ??
@ ^ [Y1: nat] :
( Y0
= ( suc @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_69_not0__implies__Suc]) ).
thf(fact_67_old_Onat_Oexhaust,axiom,
! [Y: nat] :
( ( Y != zero_zero_nat )
=> ~ ! [Nat3: nat] :
( Y
!= ( suc @ Nat3 ) ) ) ).
thf(zip_derived_cl67,plain,
( !!
@ ^ [Y0: nat] :
( ( Y0 != zero_zero_nat )
=> ( (~)
@ ( !!
@ ^ [Y1: nat] :
( Y0
!= ( suc @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_67_old_Onat_Oexhaust]) ).
thf(fact_98_gr0__conv__Suc,axiom,
! [N: nat] :
( ( ord_less_nat @ zero_zero_nat @ N )
<=> ? [M5: nat] :
( N
= ( suc @ M5 ) ) ) ).
thf(zip_derived_cl98,plain,
( !!
@ ^ [Y0: nat] :
( ( ord_less_nat @ zero_zero_nat @ Y0 )
<=> ( ??
@ ^ [Y1: nat] :
( Y0
= ( suc @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_98_gr0__conv__Suc]) ).
thf(conj_0,axiom,
ord_less_nat @ zero_zero_nat @ n ).
thf(zip_derived_cl348,plain,
ord_less_nat @ zero_zero_nat @ n,
inference(cnf,[status(esa)],[conj_0]) ).
thf(fact_100_gr0__implies__Suc,axiom,
! [N: nat] :
( ( ord_less_nat @ zero_zero_nat @ N )
=> ? [M3: nat] :
( N
= ( suc @ M3 ) ) ) ).
thf(zip_derived_cl100,plain,
( !!
@ ^ [Y0: nat] :
( ( ord_less_nat @ zero_zero_nat @ Y0 )
=> ( ??
@ ^ [Y1: nat] :
( Y0
= ( suc @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_100_gr0__implies__Suc]) ).
thf(fact_66_Zero__not__Suc,axiom,
! [M: nat] :
( zero_zero_nat
!= ( suc @ M ) ) ).
thf(zip_derived_cl66,plain,
( !!
@ ^ [Y0: nat] :
( zero_zero_nat
!= ( suc @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_66_Zero__not__Suc]) ).
thf(fact_56_polypow_Ocases,axiom,
! [X: nat] :
( ( X != zero_zero_nat )
=> ~ ! [V: nat] :
( X
!= ( suc @ V ) ) ) ).
thf(zip_derived_cl56,plain,
( !!
@ ^ [Y0: nat] :
( ( Y0 != zero_zero_nat )
=> ( (~)
@ ( !!
@ ^ [Y1: nat] :
( Y0
!= ( suc @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_56_polypow_Ocases]) ).
thf(fact_52_Suc__inject,axiom,
! [X: nat,Y: nat] :
( ( ( suc @ X )
= ( suc @ Y ) )
=> ( X = Y ) ) ).
thf(zip_derived_cl52,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ( suc @ Y0 )
= ( suc @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_52_Suc__inject]) ).
thf(zip_derived_cl4365,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl350,zip_derived_cl349,zip_derived_cl31,zip_derived_cl69,zip_derived_cl67,zip_derived_cl98,zip_derived_cl348,zip_derived_cl100,zip_derived_cl66,zip_derived_cl56,zip_derived_cl52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP151^1 : TPTP v9.2.0. Released v7.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.f8hn9KJt6z true
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 15:25:23 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
% 0.14/0.36 % Running in HO mode
% 0.57/0.67 % Total configuration time : 828
% 0.57/0.67 % Estimated wc time : 1656
% 0.57/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.74 % /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
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 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
% 0.58/0.83 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.59/0.99 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 27.69/4.16 % Solved by lams/15_e_short1.sh.
% 27.69/4.16 % done 132 iterations in 3.359s
% 27.69/4.16 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 27.69/4.16 % SZS output start Refutation
% See solution above
% 28.12/4.16
% 28.12/4.16
% 28.12/4.16 % Terminating...
% 28.85/4.30 % Runner terminated.
% 28.85/4.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------