TSTP Solution File: NUM924+5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM924+5 : TPTP v8.1.2. Released v5.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Z5OGJ9KQ3t true
% Computer : n003.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 Aug 31 12:44:50 EDT 2023
% Result : Theorem 1.75s 0.83s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 23
% Syntax : Number of formulae : 52 ( 37 unt; 15 typ; 0 def)
% Number of atoms : 37 ( 28 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 344 ( 5 ~; 0 |; 0 &; 339 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 34 ( 0 ^; 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(m_type,type,
m: $i ).
thf(times_times_type,type,
times_times: $i > $i > $i > $i ).
thf(pls_type,type,
pls: $i ).
thf(bit0_type,type,
bit0: $i > $i ).
thf(one_one_type,type,
one_one: $i > $i ).
thf(t_type,type,
t: $i ).
thf(bit1_type,type,
bit1: $i > $i ).
thf(power_power_type,type,
power_power: $i > $i > $i > $i ).
thf(nat_type,type,
nat: $i ).
thf(number_number_of_type,type,
number_number_of: $i > $i > $i ).
thf(plus_plus_type,type,
plus_plus: $i > $i > $i > $i ).
thf(int_type,type,
int: $i ).
thf(s_type,type,
s: $i ).
thf(ord_less_type,type,
ord_less: $i > $i > $i > $o ).
thf(zero_zero_type,type,
zero_zero: $i > $i ).
thf(fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096,axiom,
ord_less @ int @ ( times_times @ int @ ( plus_plus @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ ( one_one @ int ) ) @ t ) @ ( times_times @ int @ ( plus_plus @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ ( one_one @ int ) ) @ ( zero_zero @ int ) ) ).
thf(zip_derived_cl51,plain,
ord_less @ int @ ( times_times @ int @ ( plus_plus @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ ( one_one @ int ) ) @ t ) @ ( times_times @ int @ ( plus_plus @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ ( one_one @ int ) ) @ ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096]) ).
thf(fact_22_number__of__is__id,axiom,
! [K_1: $i] :
( ( number_number_of @ int @ K_1 )
= K_1 ) ).
thf(zip_derived_cl77,plain,
! [X0: $i] :
( ( number_number_of @ int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_22_number__of__is__id]) ).
thf(fact_23_zmult__commute,axiom,
! [Z: $i,W: $i] :
( ( times_times @ int @ Z @ W )
= ( times_times @ int @ W @ Z ) ) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i] :
( ( times_times @ int @ X1 @ X0 )
= ( times_times @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_23_zmult__commute]) ).
thf(fact_96_zadd__commute,axiom,
! [Z: $i,W: $i] :
( ( plus_plus @ int @ Z @ W )
= ( plus_plus @ int @ W @ Z ) ) ).
thf(zip_derived_cl195,plain,
! [X0: $i,X1: $i] :
( ( plus_plus @ int @ X1 @ X0 )
= ( plus_plus @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_96_zadd__commute]) ).
thf(zip_derived_cl78_001,plain,
! [X0: $i,X1: $i] :
( ( times_times @ int @ X1 @ X0 )
= ( times_times @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_23_zmult__commute]) ).
thf(fact_3_t,axiom,
( ( plus_plus @ int @ ( power_power @ int @ s @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( one_one @ int ) )
= ( times_times @ int @ ( plus_plus @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ ( one_one @ int ) ) @ t ) ) ).
thf(zip_derived_cl52,plain,
( ( plus_plus @ int @ ( power_power @ int @ s @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( one_one @ int ) )
= ( times_times @ int @ ( plus_plus @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ ( one_one @ int ) ) @ t ) ),
inference(cnf,[status(esa)],[fact_3_t]) ).
thf(zip_derived_cl195_002,plain,
! [X0: $i,X1: $i] :
( ( plus_plus @ int @ X1 @ X0 )
= ( plus_plus @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_96_zadd__commute]) ).
thf(zip_derived_cl77_003,plain,
! [X0: $i] :
( ( number_number_of @ int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_22_number__of__is__id]) ).
thf(zip_derived_cl78_004,plain,
! [X0: $i,X1: $i] :
( ( times_times @ int @ X1 @ X0 )
= ( times_times @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_23_zmult__commute]) ).
thf(zip_derived_cl195_005,plain,
! [X0: $i,X1: $i] :
( ( plus_plus @ int @ X1 @ X0 )
= ( plus_plus @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_96_zadd__commute]) ).
thf(zip_derived_cl78_006,plain,
! [X0: $i,X1: $i] :
( ( times_times @ int @ X1 @ X0 )
= ( times_times @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_23_zmult__commute]) ).
thf(zip_derived_cl236,plain,
( ( plus_plus @ int @ ( one_one @ int ) @ ( power_power @ int @ s @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( times_times @ int @ t @ ( plus_plus @ int @ ( one_one @ int ) @ ( times_times @ int @ m @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl195,zip_derived_cl77,zip_derived_cl78,zip_derived_cl195,zip_derived_cl78]) ).
thf(zip_derived_cl77_007,plain,
! [X0: $i] :
( ( number_number_of @ int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_22_number__of__is__id]) ).
thf(zip_derived_cl78_008,plain,
! [X0: $i,X1: $i] :
( ( times_times @ int @ X1 @ X0 )
= ( times_times @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_23_zmult__commute]) ).
thf(zip_derived_cl195_009,plain,
! [X0: $i,X1: $i] :
( ( plus_plus @ int @ X1 @ X0 )
= ( plus_plus @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_96_zadd__commute]) ).
thf(fact_97_zero__is__num__zero,axiom,
( ( zero_zero @ int )
= ( number_number_of @ int @ pls ) ) ).
thf(zip_derived_cl196,plain,
( ( zero_zero @ int )
= ( number_number_of @ int @ pls ) ),
inference(cnf,[status(esa)],[fact_97_zero__is__num__zero]) ).
thf(zip_derived_cl77_010,plain,
! [X0: $i] :
( ( number_number_of @ int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_22_number__of__is__id]) ).
thf(zip_derived_cl216,plain,
( ( zero_zero @ int )
= pls ),
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl77]) ).
thf(zip_derived_cl78_011,plain,
! [X0: $i,X1: $i] :
( ( times_times @ int @ X1 @ X0 )
= ( times_times @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_23_zmult__commute]) ).
thf(fact_62_mult__Pls,axiom,
! [W: $i] :
( ( times_times @ int @ pls @ W )
= pls ) ).
thf(zip_derived_cl140,plain,
! [X0: $i] :
( ( times_times @ int @ pls @ X0 )
= pls ),
inference(cnf,[status(esa)],[fact_62_mult__Pls]) ).
thf(conj_0,conjecture,
ord_less @ int @ ( plus_plus @ int @ ( power_power @ int @ s @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( one_one @ int ) ) @ ( zero_zero @ int ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ord_less @ int @ ( plus_plus @ int @ ( power_power @ int @ s @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( one_one @ int ) ) @ ( zero_zero @ int ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl214,plain,
~ ( ord_less @ int @ ( plus_plus @ int @ ( power_power @ int @ s @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( one_one @ int ) ) @ ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196_012,plain,
( ( zero_zero @ int )
= ( number_number_of @ int @ pls ) ),
inference(cnf,[status(esa)],[fact_97_zero__is__num__zero]) ).
thf(zip_derived_cl215,plain,
~ ( ord_less @ int @ ( plus_plus @ int @ ( power_power @ int @ s @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( one_one @ int ) ) @ ( number_number_of @ int @ pls ) ),
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl196]) ).
thf(zip_derived_cl77_013,plain,
! [X0: $i] :
( ( number_number_of @ int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_22_number__of__is__id]) ).
thf(zip_derived_cl217,plain,
~ ( ord_less @ int @ ( plus_plus @ int @ ( power_power @ int @ s @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( one_one @ int ) ) @ pls ),
inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl77]) ).
thf(zip_derived_cl195_014,plain,
! [X0: $i,X1: $i] :
( ( plus_plus @ int @ X1 @ X0 )
= ( plus_plus @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_96_zadd__commute]) ).
thf(zip_derived_cl220,plain,
~ ( ord_less @ int @ ( plus_plus @ int @ ( one_one @ int ) @ ( power_power @ int @ s @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ pls ),
inference(demod,[status(thm)],[zip_derived_cl217,zip_derived_cl195]) ).
thf(zip_derived_cl241,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl77,zip_derived_cl78,zip_derived_cl195,zip_derived_cl78,zip_derived_cl236,zip_derived_cl77,zip_derived_cl78,zip_derived_cl195,zip_derived_cl216,zip_derived_cl78,zip_derived_cl140,zip_derived_cl220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM924+5 : TPTP v8.1.2. Released v5.3.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Z5OGJ9KQ3t true
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 13:54:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.75/0.83 % Solved by fo/fo13.sh.
% 1.75/0.83 % done 0 iterations in 0.076s
% 1.75/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.75/0.83 % SZS output start Refutation
% See solution above
% 1.75/0.83
% 1.75/0.83
% 1.75/0.83 % Terminating...
% 2.19/0.94 % Runner terminated.
% 2.19/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------