%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP026^1 : 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.NyT45d1Vcv true
% Computer : n010.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 04:38:36 PM UTC 2025
% Result : Theorem 28.70s 4.33s
% Output : Refutation 28.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of formulae : 40 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 101 ( 30 equ; 1 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 213 ( 11 ~; 7 |; 2 &; 162 @)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 11 usr; 8 con; 0-2 aty)
% ( 17 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 51 ( 28 ^; 23 !; 0 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(a_type,type,
a: $tType ).
thf(set_a_type,type,
set_a: $tType ).
thf(member_a_type,type,
member_a: a > set_a > $o ).
thf(g_type,type,
g: nat > a ).
thf(ord_less_eq_nat_type,type,
ord_less_eq_nat: nat > nat > $o ).
thf(xa_type,type,
xa: nat ).
thf(suc_type,type,
suc: nat > nat ).
thf(ord_less_nat_type,type,
ord_less_nat: nat > nat > $o ).
thf(h2_type,type,
h2: a ).
thf(m2_type,type,
m2: nat ).
thf(zero_zero_nat_type,type,
zero_zero_nat: nat ).
thf(h1_type,type,
h1: set_a ).
thf(minus_minus_nat_type,type,
minus_minus_nat: nat > nat > nat ).
thf(conj_16,axiom,
ord_less_nat @ zero_zero_nat @ m2 ).
thf(zip_derived_cl365,plain,
ord_less_nat @ zero_zero_nat @ m2,
inference(cnf,[status(esa)],[conj_16]) ).
thf(fact_237_less__eq__Suc__le,axiom,
( ord_less_nat
= ( ^ [N4: nat] : ( ord_less_eq_nat @ ( suc @ N4 ) ) ) ) ).
thf(zip_derived_cl237,plain,
( ord_less_nat
= ( ^ [Y0: nat] : ( ord_less_eq_nat @ ( suc @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_237_less__eq__Suc__le]) ).
thf(zip_derived_cl387,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_cl237]) ).
thf(zip_derived_cl389,plain,
! [X1: nat,X2: nat] :
( ( ord_less_nat @ X1 @ X2 )
= ( ord_less_eq_nat @ ( suc @ X1 ) @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl387]) ).
thf(zip_derived_cl392,plain,
! [X1: nat,X2: nat] :
( ~ ( ord_less_nat @ X1 @ X2 )
| ( ord_less_eq_nat @ ( suc @ X1 ) @ X2 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl389]) ).
thf(zip_derived_cl401,plain,
ord_less_eq_nat @ ( suc @ zero_zero_nat ) @ m2,
inference('sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl392]) ).
thf(fact_181_nat_Odistinct_I1_J,axiom,
! [X22: nat] :
( zero_zero_nat
!= ( suc @ X22 ) ) ).
thf(zip_derived_cl181,plain,
( !!
@ ^ [Y0: nat] :
( zero_zero_nat
!= ( suc @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_181_nat_Odistinct_I1_J]) ).
thf(fact_327_cancel__comm__monoid__add__class_Odiff__cancel,axiom,
! [A: nat] :
( ( minus_minus_nat @ A @ A )
= zero_zero_nat ) ).
thf(zip_derived_cl327,plain,
( !!
@ ^ [Y0: nat] :
( ( minus_minus_nat @ Y0 @ Y0 )
= zero_zero_nat ) ),
inference(cnf,[status(esa)],[fact_327_cancel__comm__monoid__add__class_Odiff__cancel]) ).
thf(fact_78_diff__diff__cancel,axiom,
! [I: nat,N: nat] :
( ( ord_less_eq_nat @ I @ N )
=> ( ( minus_minus_nat @ N @ ( minus_minus_nat @ N @ I ) )
= I ) ) ).
thf(zip_derived_cl78,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ Y0 @ Y1 )
=> ( ( minus_minus_nat @ Y1 @ ( minus_minus_nat @ Y1 @ Y0 ) )
= Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_78_diff__diff__cancel]) ).
thf(fact_254_diff__less__Suc,axiom,
! [M: nat,N: nat] : ( ord_less_nat @ ( minus_minus_nat @ M @ N ) @ ( suc @ M ) ) ).
thf(zip_derived_cl254,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] : ( ord_less_nat @ ( minus_minus_nat @ Y0 @ Y1 ) @ ( suc @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_254_diff__less__Suc]) ).
thf(fact_147_nat__neq__iff,axiom,
! [M: nat,N: nat] :
( ( M != N )
<=> ( ( ord_less_nat @ M @ N )
| ( ord_less_nat @ N @ M ) ) ) ).
thf(zip_derived_cl147,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( Y0 != Y1 )
<=> ( ( ord_less_nat @ Y0 @ Y1 )
| ( ord_less_nat @ Y1 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_147_nat__neq__iff]) ).
thf(fact_222_less__imp__diff__less,axiom,
! [J3: nat,K2: nat,N: nat] :
( ( ord_less_nat @ J3 @ K2 )
=> ( ord_less_nat @ ( minus_minus_nat @ J3 @ N ) @ K2 ) ) ).
thf(zip_derived_cl222,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_222_less__imp__diff__less]) ).
thf(conj_19,axiom,
ord_less_eq_nat @ xa @ ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ) ).
thf(zip_derived_cl368,plain,
ord_less_eq_nat @ xa @ ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ),
inference(cnf,[status(esa)],[conj_19]) ).
thf(fact_187_nat__less__le,axiom,
( ord_less_nat
= ( ^ [M6: nat,N4: nat] :
( ( M6 != N4 )
& ( ord_less_eq_nat @ M6 @ N4 ) ) ) ) ).
thf(zip_derived_cl187,plain,
( ord_less_nat
= ( ^ [Y0: nat,Y1: nat] :
( ( Y0 != Y1 )
& ( ord_less_eq_nat @ Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_187_nat__less__le]) ).
thf(conj_20,axiom,
( ( ( g @ xa )
= h2 )
| ( member_a @ ( g @ xa ) @ h1 ) ) ).
thf(zip_derived_cl369,plain,
( ( ( g @ xa )
= h2 )
| ( member_a @ ( g @ xa ) @ h1 ) ),
inference(cnf,[status(esa)],[conj_20]) ).
thf(conj_3,axiom,
( ( g @ m2 )
= h2 ) ).
thf(zip_derived_cl352,plain,
( ( g @ m2 )
= h2 ),
inference(cnf,[status(esa)],[conj_3]) ).
thf(fact_238_less__Suc__eq__le,axiom,
! [M: nat,N: nat] :
( ( ord_less_nat @ M @ ( suc @ N ) )
= ( ord_less_eq_nat @ M @ N ) ) ).
thf(zip_derived_cl238,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_nat @ Y0 @ ( suc @ Y1 ) )
= ( ord_less_eq_nat @ Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_238_less__Suc__eq__le]) ).
thf(conj_21,conjecture,
member_a @ ( g @ xa ) @ h1 ).
thf(zf_stmt_0,negated_conjecture,
~ ( member_a @ ( g @ xa ) @ h1 ),
inference('cnf.neg',[status(esa)],[conj_21]) ).
thf(zip_derived_cl370,plain,
~ ( member_a @ ( g @ xa ) @ h1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(conj_1,axiom,
! [X4: nat] :
( ( ord_less_eq_nat @ X4 @ m2 )
=> ! [Y3: nat] :
( ( ord_less_eq_nat @ Y3 @ m2 )
=> ( ( ( g @ X4 )
= ( g @ Y3 ) )
=> ( X4 = Y3 ) ) ) ) ).
thf(zip_derived_cl350,plain,
( !!
@ ^ [Y0: nat] :
( ( ord_less_eq_nat @ Y0 @ m2 )
=> ( !!
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ Y1 @ m2 )
=> ( ( ( g @ Y0 )
= ( g @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(fact_196_not__less__eq,axiom,
! [M: nat,N: nat] :
( ~ ( ord_less_nat @ M @ N )
<=> ( ord_less_nat @ N @ ( suc @ M ) ) ) ).
thf(zip_derived_cl196,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( (~) @ ( ord_less_nat @ Y0 @ Y1 ) )
<=> ( ord_less_nat @ Y1 @ ( suc @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_196_not__less__eq]) ).
thf(fact_185_le__eq__less__or__eq,axiom,
( ord_less_eq_nat
= ( ^ [M6: nat,N4: nat] :
( ( M6 = N4 )
| ( ord_less_nat @ M6 @ N4 ) ) ) ) ).
thf(zip_derived_cl185,plain,
( ord_less_eq_nat
= ( ^ [Y0: nat,Y1: nat] :
( ( Y0 = Y1 )
| ( ord_less_nat @ Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_185_le__eq__less__or__eq]) ).
thf(zip_derived_cl2621,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl401,zip_derived_cl181,zip_derived_cl327,zip_derived_cl78,zip_derived_cl254,zip_derived_cl147,zip_derived_cl222,zip_derived_cl368,zip_derived_cl187,zip_derived_cl369,zip_derived_cl352,zip_derived_cl238,zip_derived_cl370,zip_derived_cl350,zip_derived_cl196,zip_derived_cl185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : ITP026^1 : TPTP v9.2.0. Released v7.5.0.
% 0.02/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NyT45d1Vcv true
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 15:34:53 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in HO mode
% 0.47/0.61 % Total configuration time : 828
% 0.47/0.61 % Estimated wc time : 1656
% 0.47/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.80 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.51/0.85 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 28.70/4.33 % Solved by lams/15_e_short1.sh.
% 28.70/4.33 % done 154 iterations in 3.583s
% 28.70/4.33 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 28.70/4.33 % SZS output start Refutation
% See solution above
% 28.70/4.33
% 28.70/4.33
% 28.70/4.33 % Terminating...
% 29.61/4.44 % Runner terminated.
% 29.61/4.46 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------