%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP103^1 : 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.hAHYv5Q2w1 true
% Computer : n009.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 04:38:50 PM UTC 2025
% Result : Theorem 64.61s 8.71s
% Output : Refutation 64.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 15
% Syntax : Number of formulae : 32 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 71 ( 22 equ; 1 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 182 ( 12 ~; 2 |; 0 &; 132 @)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 9 usr; 8 con; 0-2 aty)
% ( 19 !!; 1 ??; 0 @@+; 0 @@-)
% Number of variables : 44 ( 24 ^; 19 !; 1 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(list_a_type,type,
list_a: $tType ).
thf(xs_type,type,
xs: list_a ).
thf(ord_less_nat_type,type,
ord_less_nat: nat > nat > $o ).
thf(times_times_nat_type,type,
times_times_nat: nat > nat > nat ).
thf(k_type,type,
k: nat ).
thf(zero_zero_nat_type,type,
zero_zero_nat: nat ).
thf(n_type,type,
n: nat ).
thf(divide_divide_nat_type,type,
divide_divide_nat: nat > nat > nat ).
thf(size_size_list_a_type,type,
size_size_list_a: list_a > nat ).
thf(suc_type,type,
suc: nat > nat ).
thf(conj_1,axiom,
k != zero_zero_nat ).
thf(zip_derived_cl184,plain,
k != zero_zero_nat,
inference(cnf,[status(esa)],[conj_1]) ).
thf(fact_1_div__mult__self1__is__m,axiom,
! [N: nat,M: nat] :
( ( ord_less_nat @ zero_zero_nat @ N )
=> ( ( divide_divide_nat @ ( times_times_nat @ N @ M ) @ N )
= M ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_nat @ zero_zero_nat @ Y0 )
=> ( ( divide_divide_nat @ ( times_times_nat @ Y0 @ Y1 ) @ Y0 )
= Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_1_div__mult__self1__is__m]) ).
thf(fact_27_n__not__Suc__n,axiom,
! [N: nat] :
( N
!= ( suc @ N ) ) ).
thf(zip_derived_cl27,plain,
( !!
@ ^ [Y0: nat] :
( Y0
!= ( suc @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_27_n__not__Suc__n]) ).
thf(fact_99_nonzero__mult__div__cancel__left,axiom,
! [A: nat,B: nat] :
( ( A != zero_zero_nat )
=> ( ( divide_divide_nat @ ( times_times_nat @ A @ B ) @ A )
= B ) ) ).
thf(zip_derived_cl99,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( Y0 != zero_zero_nat )
=> ( ( divide_divide_nat @ ( times_times_nat @ Y0 @ Y1 ) @ Y0 )
= Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_99_nonzero__mult__div__cancel__left]) ).
thf(conj_0,axiom,
( ( divide_divide_nat @ ( size_size_list_a @ xs ) @ k )
= ( suc @ n ) ) ).
thf(zip_derived_cl183,plain,
( ( divide_divide_nat @ ( size_size_list_a @ xs ) @ k )
= ( suc @ n ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(fact_11_zero__less__Suc,axiom,
! [N: nat] : ( ord_less_nat @ zero_zero_nat @ ( suc @ N ) ) ).
thf(zip_derived_cl11,plain,
( !!
@ ^ [Y0: nat] : ( ord_less_nat @ zero_zero_nat @ ( suc @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_11_zero__less__Suc]) ).
thf(fact_28_Suc__inject,axiom,
! [X: nat,Y: nat] :
( ( ( suc @ X )
= ( suc @ Y ) )
=> ( X = Y ) ) ).
thf(zip_derived_cl28,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ( suc @ Y0 )
= ( suc @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_28_Suc__inject]) ).
thf(fact_124_Util__Div_Oless__mult__imp__div__less,axiom,
! [N: nat,K: nat,M: nat] :
( ( ord_less_nat @ N @ ( times_times_nat @ K @ M ) )
=> ( ord_less_nat @ ( divide_divide_nat @ N @ M ) @ K ) ) ).
thf(zip_derived_cl124,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( ord_less_nat @ Y0 @ ( times_times_nat @ Y1 @ Y2 ) )
=> ( ord_less_nat @ ( divide_divide_nat @ Y0 @ Y2 ) @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_124_Util__Div_Oless__mult__imp__div__less]) ).
thf(fact_36_nat__neq__iff,axiom,
! [M: nat,N: nat] :
( ( M != N )
<=> ( ( ord_less_nat @ M @ N )
| ( ord_less_nat @ N @ M ) ) ) ).
thf(zip_derived_cl36,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( Y0 != Y1 )
<=> ( ( ord_less_nat @ Y0 @ Y1 )
| ( ord_less_nat @ Y1 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_36_nat__neq__iff]) ).
thf(fact_140_gr__implies__gr0,axiom,
! [M: nat,N: nat] :
( ( ord_less_nat @ M @ N )
=> ( ord_less_nat @ zero_zero_nat @ N ) ) ).
thf(zip_derived_cl140,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_nat @ Y0 @ Y1 )
=> ( ord_less_nat @ zero_zero_nat @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_140_gr__implies__gr0]) ).
thf(conj_2,conjecture,
ord_less_nat @ ( times_times_nat @ n @ k ) @ ( size_size_list_a @ xs ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ord_less_nat @ ( times_times_nat @ n @ k ) @ ( size_size_list_a @ xs ) ),
inference('cnf.neg',[status(esa)],[conj_2]) ).
thf(zip_derived_cl185,plain,
~ ( ord_less_nat @ ( times_times_nat @ n @ k ) @ ( size_size_list_a @ xs ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_85_gr0__conv__Suc,axiom,
! [N: nat] :
( ( ord_less_nat @ zero_zero_nat @ N )
<=> ? [M5: nat] :
( N
= ( suc @ M5 ) ) ) ).
thf(zip_derived_cl85,plain,
( !!
@ ^ [Y0: nat] :
( ( ord_less_nat @ zero_zero_nat @ Y0 )
<=> ( ??
@ ^ [Y1: nat] :
( Y0
= ( suc @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_85_gr0__conv__Suc]) ).
thf(fact_133_mult_Ocommute,axiom,
( times_times_nat
= ( ^ [A2: nat,B2: nat] : ( times_times_nat @ B2 @ A2 ) ) ) ).
thf(zip_derived_cl133,plain,
( times_times_nat
= ( ^ [Y0: nat,Y1: nat] : ( times_times_nat @ Y1 @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_133_mult_Ocommute]) ).
thf(fact_70_less__SucI,axiom,
! [M: nat,N: nat] :
( ( ord_less_nat @ M @ N )
=> ( ord_less_nat @ M @ ( suc @ N ) ) ) ).
thf(zip_derived_cl70,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_nat @ Y0 @ Y1 )
=> ( ord_less_nat @ Y0 @ ( suc @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_70_less__SucI]) ).
thf(fact_35_less__not__refl,axiom,
! [N: nat] :
~ ( ord_less_nat @ N @ N ) ).
thf(zip_derived_cl35,plain,
( !!
@ ^ [Y0: nat] : ( (~) @ ( ord_less_nat @ Y0 @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_35_less__not__refl]) ).
thf(zip_derived_cl1844,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl184,zip_derived_cl1,zip_derived_cl27,zip_derived_cl99,zip_derived_cl183,zip_derived_cl11,zip_derived_cl28,zip_derived_cl124,zip_derived_cl36,zip_derived_cl140,zip_derived_cl185,zip_derived_cl85,zip_derived_cl133,zip_derived_cl70,zip_derived_cl35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ITP103^1 : TPTP v9.2.0. Released v7.5.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hAHYv5Q2w1 true
% 0.11/0.32 % Computer : n009.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 15:25:38 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
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in HO mode
% 0.49/0.64 % Total configuration time : 828
% 0.49/0.64 % Estimated wc time : 1656
% 0.49/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.52/0.76 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 64.61/8.71 % Solved by lams/15_e_short1.sh.
% 64.61/8.71 % done 87 iterations in 7.967s
% 64.61/8.71 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 64.61/8.71 % SZS output start Refutation
% See solution above
% 64.61/8.71
% 64.61/8.71
% 64.61/8.71 % Terminating...
% 64.61/8.75 % Runner terminated.
% 64.61/8.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------