%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM926^3 : TPTP v9.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vmqRRj2b94 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 04:48:44 PM UTC 2025
% Result : Theorem 34.10s 4.91s
% Output : Refutation 34.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 19 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 204 ( 4 ~; 0 |; 0 &; 181 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 14 usr; 8 con; 0-2 aty)
% ( 5 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 24 ( 11 ^; 5 !; 8 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(int_type,type,
int: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(pls_type,type,
pls: int ).
thf(m_type,type,
m: int ).
thf(times_times_int_type,type,
times_times_int: int > int > int ).
thf(zero_zero_int_type,type,
zero_zero_int: int ).
thf(ord_less_int_type,type,
ord_less_int: int > int > $o ).
thf(one_one_int_type,type,
one_one_int: int ).
thf(ord_less_eq_int_type,type,
ord_less_eq_int: int > int > $o ).
thf(number_number_of_int_type,type,
number_number_of_int: int > int ).
thf(bit0_type,type,
bit0: int > int ).
thf(t_type,type,
t: int ).
thf(bit1_type,type,
bit1: int > int ).
thf(plus_plus_int_type,type,
plus_plus_int: int > int > int ).
thf(power_power_int_type,type,
power_power_int: int > nat > int ).
thf(number_number_of_nat_type,type,
number_number_of_nat: int > nat ).
thf(fact_0_tpos,axiom,
ord_less_eq_int @ one_one_int @ t ).
thf(zip_derived_cl0,plain,
ord_less_eq_int @ one_one_int @ t,
inference(cnf,[status(esa)],[fact_0_tpos]) ).
thf(fact_570_order__le__neq__implies__less,axiom,
! [X_7: int,Y_6: int] :
( ( ord_less_eq_int @ X_7 @ Y_6 )
=> ( ( X_7 != Y_6 )
=> ( ord_less_int @ X_7 @ Y_6 ) ) ) ).
thf(zip_derived_cl570,plain,
( !!
@ ^ [Y0: int] :
( !!
@ ^ [Y1: int] :
( ( ord_less_eq_int @ Y0 @ Y1 )
=> ( ( Y0 != Y1 )
=> ( ord_less_int @ Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_570_order__le__neq__implies__less]) ).
thf(fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
( ( ord_less_int @ one_one_int @ t )
=> ? [X: int,Y: int] :
( ( plus_plus_int @ ( power_power_int @ X @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ) ).
thf(zip_derived_cl2,plain,
( ( ord_less_int @ one_one_int @ t )
=> ( ??
@ ^ [Y0: int] :
( ??
@ ^ [Y1: int] :
( ( plus_plus_int @ ( power_power_int @ Y0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ) ) ),
inference(cnf,[status(esa)],[fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06]) ).
thf(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
( ( t = one_one_int )
=> ? [X: int,Y: int] :
( ( plus_plus_int @ ( power_power_int @ X @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ) ).
thf(zip_derived_cl1,plain,
( ( t = one_one_int )
=> ( ??
@ ^ [Y0: int] :
( ??
@ ^ [Y1: int] :
( ( plus_plus_int @ ( power_power_int @ Y0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ) ) ),
inference(cnf,[status(esa)],[fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06]) ).
thf(fact_147_zadd__commute,axiom,
! [Z: int,W: int] :
( ( plus_plus_int @ Z @ W )
= ( plus_plus_int @ W @ Z ) ) ).
thf(zip_derived_cl147,plain,
( !!
@ ^ [Y0: int] :
( !!
@ ^ [Y1: int] :
( ( plus_plus_int @ Y0 @ Y1 )
= ( plus_plus_int @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_147_zadd__commute]) ).
thf(conj_0,conjecture,
? [X: int,Y: int] :
( ( plus_plus_int @ ( power_power_int @ X @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [X: int,Y: int] :
( ( plus_plus_int @ ( power_power_int @ X @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1198,plain,
~ ( ??
@ ^ [Y0: int] :
( ??
@ ^ [Y1: int] :
( ( plus_plus_int @ ( power_power_int @ Y0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_144_number__of__is__id,axiom,
! [K: int] :
( ( number_number_of_int @ K )
= K ) ).
thf(zip_derived_cl144,plain,
( !!
@ ^ [Y0: int] :
( ( number_number_of_int @ Y0 )
= Y0 ) ),
inference(cnf,[status(esa)],[fact_144_number__of__is__id]) ).
thf(fact_358_Pls__def,axiom,
pls = zero_zero_int ).
thf(zip_derived_cl358,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_358_Pls__def]) ).
thf(fact_267_one__is__num__one,axiom,
( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) ) ).
thf(zip_derived_cl267,plain,
( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) ),
inference(cnf,[status(esa)],[fact_267_one__is__num__one]) ).
thf(zip_derived_cl4286,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl0,zip_derived_cl570,zip_derived_cl2,zip_derived_cl1,zip_derived_cl147,zip_derived_cl1198,zip_derived_cl144,zip_derived_cl358,zip_derived_cl267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : NUM926^3 : TPTP v9.2.0. Released v5.3.0.
% 0.09/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vmqRRj2b94 true
% 0.11/0.35 % Computer : n009.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Wed Oct 1 16:46:53 EDT 2025
% 0.11/0.35 % CPUTime :
% 0.11/0.35 % Running portfolio for 300 s
% 0.11/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Number of cores: 8
% 0.11/0.35 % Python version: Python 3.6.8
% 0.11/0.35 % Running in HO mode
% 0.48/0.65 % Total configuration time : 828
% 0.48/0.65 % Estimated wc time : 1656
% 0.48/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.48/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.48/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.48/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.49/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.49/0.74 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.49/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.50/0.83 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 34.10/4.91 % Solved by lams/15_e_short1.sh.
% 34.10/4.91 % done 259 iterations in 4.147s
% 34.10/4.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 34.10/4.91 % SZS output start Refutation
% See solution above
% 34.10/4.91
% 34.10/4.91
% 34.10/4.91 % Terminating...
% 34.10/4.97 % Runner terminated.
% 34.10/4.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------