%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM926+1 : 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.0n8TPdSaSo true
% Computer : n013.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 04:48:43 PM UTC 2025
% Result : Theorem 0.55s 0.86s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 23 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 266 ( 13 ~; 7 |; 1 &; 242 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 22 ( 0 ^; 14 !; 8 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(plus_plus_int_type,type,
plus_plus_int: $i > $i > $i ).
thf(power_power_int_type,type,
power_power_int: $i > $i > $i ).
thf(t_type,type,
t: $i ).
thf(pls_type,type,
pls: $i ).
thf(bit1_type,type,
bit1: $i > $i ).
thf(one_one_int_type,type,
one_one_int: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(ord_less_eq_int_type,type,
ord_less_eq_int: $i > $i > $o ).
thf(number_number_of_nat_type,type,
number_number_of_nat: $i > $i ).
thf(ord_less_int_type,type,
ord_less_int: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(number_number_of_int_type,type,
number_number_of_int: $i > $i ).
thf(times_times_int_type,type,
times_times_int: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(bit0_type,type,
bit0: $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(m_type,type,
m: $i ).
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: $i,Y: $i] :
( ( 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,
( ( ( plus_plus_int @ ( power_power_int @ sk__2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ sk__3 @ ( 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 ) )
| ~ ( ord_less_int @ one_one_int @ t ) ),
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_111_number__of__is__id,axiom,
! [K_1: $i] :
( ( number_number_of_int @ K_1 )
= K_1 ) ).
thf(zip_derived_cl136,plain,
! [X0: $i] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_111_number__of__is__id]) ).
thf(zip_derived_cl480,plain,
( ( ( plus_plus_int @ ( power_power_int @ sk__2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ sk__3 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) )
| ~ ( ord_less_int @ one_one_int @ t ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl136]) ).
thf(conj_0,conjecture,
? [X: $i,Y: $i] :
( ( 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: $i,Y: $i] :
( ( 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_cl156,plain,
! [X0: $i,X1: $i] :
( ( plus_plus_int @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X1 @ ( 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(zip_derived_cl136_001,plain,
! [X0: $i] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_111_number__of__is__id]) ).
thf(zip_derived_cl466,plain,
! [X0: $i,X1: $i] :
( ( plus_plus_int @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
!= ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) ),
inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl136]) ).
thf(zip_derived_cl481,plain,
~ ( ord_less_int @ one_one_int @ t ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl480,zip_derived_cl466]) ).
thf(fact_28_zless__le,axiom,
! [Z_1: $i,W_1: $i] :
( ( ord_less_int @ Z_1 @ W_1 )
<=> ( ( ord_less_eq_int @ Z_1 @ W_1 )
& ( Z_1 != W_1 ) ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ( ord_less_int @ X0 @ X1 )
| ( X0 = X1 )
| ~ ( ord_less_eq_int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_28_zless__le]) ).
thf(zip_derived_cl913,plain,
( ~ ( ord_less_eq_int @ one_one_int @ t )
| ( one_one_int = t ) ),
inference('sup+',[status(thm)],[zip_derived_cl481,zip_derived_cl28]) ).
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(zip_derived_cl923,plain,
one_one_int = t,
inference(demod,[status(thm)],[zip_derived_cl913,zip_derived_cl0]) ).
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: $i,Y: $i] :
( ( 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,
( ( ( plus_plus_int @ ( power_power_int @ sk_ @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ sk__1 @ ( 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 ) )
| ( t != 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(zip_derived_cl136_002,plain,
! [X0: $i] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_111_number__of__is__id]) ).
thf(zip_derived_cl469,plain,
( ( ( plus_plus_int @ ( power_power_int @ sk_ @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ sk__1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) )
| ( t != one_one_int ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl136]) ).
thf(zip_derived_cl466_003,plain,
! [X0: $i,X1: $i] :
( ( plus_plus_int @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
!= ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) ),
inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl136]) ).
thf(zip_derived_cl470,plain,
t != one_one_int,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl469,zip_derived_cl466]) ).
thf(zip_derived_cl924,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl923,zip_derived_cl470]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM926+1 : TPTP v9.2.0. Released v5.3.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0n8TPdSaSo true
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:22:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.86 % Solved by fo/fo3_bce.sh.
% 0.55/0.86 % BCE start: 157
% 0.55/0.86 % BCE eliminated: 1
% 0.55/0.86 % PE start: 156
% 0.55/0.86 logic: eq
% 0.55/0.86 % PE eliminated: 0
% 0.55/0.86 % done 140 iterations in 0.110s
% 0.55/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.86 % SZS output start Refutation
% See solution above
% 0.55/0.86
% 0.55/0.86
% 0.55/0.86 % Terminating...
% 0.60/0.97 % Runner terminated.
% 0.60/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------