TSTP Solution File: NUM924^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM924^1 : 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.XIJ5ufjvD9 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 Aug 31 12:44:46 EDT 2023
% Result : Theorem 1.64s 1.07s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 25
% Syntax : Number of formulae : 74 ( 50 unt; 16 typ; 0 def)
% Number of atoms : 71 ( 47 equ; 2 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 379 ( 6 ~; 0 |; 0 &; 362 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 14 usr; 9 con; 0-2 aty)
% ( 11 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 59 ( 11 ^; 48 !; 0 ?; 59 :)
% 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(plus_plus_int_type,type,
plus_plus_int: int > int > int ).
thf(bit0_type,type,
bit0: 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(s_type,type,
s: int ).
thf(number_number_of_nat_type,type,
number_number_of_nat: int > nat ).
thf(one_one_int_type,type,
one_one_int: int ).
thf(times_times_int_type,type,
times_times_int: int > int > int ).
thf(power_power_int_type,type,
power_power_int: int > nat > int ).
thf(t_type,type,
t: int ).
thf(bit1_type,type,
bit1: int > int ).
thf(number_number_of_int_type,type,
number_number_of_int: int > int ).
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_cl2,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_24_number__of__is__id,axiom,
! [K: int] :
( ( number_number_of_int @ K )
= K ) ).
thf(zip_derived_cl20,plain,
( !!
@ ^ [Y0: int] :
( ( number_number_of_int @ Y0 )
= Y0 ) ),
inference(cnf,[status(esa)],[fact_24_number__of__is__id]) ).
thf(zip_derived_cl88,plain,
! [X2: int] :
( ( number_number_of_int @ X2 )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl89,plain,
! [X2: int] :
( ( number_number_of_int @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl89_001,plain,
! [X2: int] :
( ( number_number_of_int @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl90,plain,
ord_less_int @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) @ t ) @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) @ zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl89,zip_derived_cl89]) ).
thf(fact_25_zmult__commute,axiom,
! [Z: int,W: int] :
( ( times_times_int @ Z @ W )
= ( times_times_int @ W @ Z ) ) ).
thf(zip_derived_cl21,plain,
( !!
@ ^ [Y0: int] :
( !!
@ ^ [Y1: int] :
( ( times_times_int @ Y0 @ Y1 )
= ( times_times_int @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_25_zmult__commute]) ).
thf(zip_derived_cl147,plain,
! [X2: int] :
( !!
@ ^ [Y0: int] :
( ( times_times_int @ X2 @ Y0 )
= ( times_times_int @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl148,plain,
! [X2: int,X4: int] :
( ( times_times_int @ X2 @ X4 )
= ( times_times_int @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl147]) ).
thf(zip_derived_cl149,plain,
! [X2: int,X4: int] :
( ( times_times_int @ X2 @ X4 )
= ( times_times_int @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl148]) ).
thf(fact_104_zadd__commute,axiom,
! [Z: int,W: int] :
( ( plus_plus_int @ Z @ W )
= ( plus_plus_int @ W @ Z ) ) ).
thf(zip_derived_cl84,plain,
( !!
@ ^ [Y0: int] :
( !!
@ ^ [Y1: int] :
( ( plus_plus_int @ Y0 @ Y1 )
= ( plus_plus_int @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_104_zadd__commute]) ).
thf(zip_derived_cl154,plain,
! [X2: int] :
( !!
@ ^ [Y0: int] :
( ( plus_plus_int @ X2 @ Y0 )
= ( plus_plus_int @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl155,plain,
! [X2: int,X4: int] :
( ( plus_plus_int @ X2 @ X4 )
= ( plus_plus_int @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl154]) ).
thf(zip_derived_cl156,plain,
! [X2: int,X4: int] :
( ( plus_plus_int @ X2 @ X4 )
= ( plus_plus_int @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl155]) ).
thf(zip_derived_cl149_002,plain,
! [X2: int,X4: int] :
( ( times_times_int @ X2 @ X4 )
= ( times_times_int @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl148]) ).
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_cl3,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_cl89_003,plain,
! [X2: int] :
( ( number_number_of_int @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl110,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 @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) @ t ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl89]) ).
thf(zip_derived_cl149_004,plain,
! [X2: int,X4: int] :
( ( times_times_int @ X2 @ X4 )
= ( times_times_int @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl149_005,plain,
! [X2: int,X4: int] :
( ( times_times_int @ X2 @ X4 )
= ( times_times_int @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl152,plain,
( ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int )
= ( times_times_int @ t @ ( plus_plus_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl149,zip_derived_cl149]) ).
thf(zip_derived_cl156_006,plain,
! [X2: int,X4: int] :
( ( plus_plus_int @ X2 @ X4 )
= ( plus_plus_int @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl155]) ).
thf(zip_derived_cl156_007,plain,
! [X2: int,X4: int] :
( ( plus_plus_int @ X2 @ X4 )
= ( plus_plus_int @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl155]) ).
thf(zip_derived_cl181,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_cl152,zip_derived_cl156,zip_derived_cl156]) ).
thf(zip_derived_cl149_008,plain,
! [X2: int,X4: int] :
( ( times_times_int @ X2 @ X4 )
= ( times_times_int @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl156_009,plain,
! [X2: int,X4: int] :
( ( plus_plus_int @ X2 @ X4 )
= ( plus_plus_int @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl155]) ).
thf(zip_derived_cl149_010,plain,
! [X2: int,X4: int] :
( ( times_times_int @ X2 @ X4 )
= ( times_times_int @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl259,plain,
ord_less_int @ ( plus_plus_int @ one_one_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( times_times_int @ zero_zero_int @ ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl149,zip_derived_cl156,zip_derived_cl149,zip_derived_cl181,zip_derived_cl149,zip_derived_cl156,zip_derived_cl149]) ).
thf(zip_derived_cl89_011,plain,
! [X2: int] :
( ( number_number_of_int @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl88]) ).
thf(fact_105_zero__is__num__zero,axiom,
( zero_zero_int
= ( number_number_of_int @ pls ) ) ).
thf(zip_derived_cl85,plain,
( zero_zero_int
= ( number_number_of_int @ pls ) ),
inference(cnf,[status(esa)],[fact_105_zero__is__num__zero]) ).
thf(zip_derived_cl344,plain,
zero_zero_int = pls,
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl85]) ).
thf(zip_derived_cl344_012,plain,
zero_zero_int = pls,
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl85]) ).
thf(fact_66_mult__Pls,axiom,
! [W: int] :
( ( times_times_int @ pls @ W )
= pls ) ).
thf(zip_derived_cl53,plain,
( !!
@ ^ [Y0: int] :
( ( times_times_int @ pls @ Y0 )
= pls ) ),
inference(cnf,[status(esa)],[fact_66_mult__Pls]) ).
thf(zip_derived_cl91,plain,
! [X2: int] :
( ( times_times_int @ pls @ X2 )
= pls ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl92,plain,
! [X2: int] :
( ( times_times_int @ pls @ X2 )
= pls ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl344_013,plain,
zero_zero_int = pls,
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl85]) ).
thf(zip_derived_cl344_014,plain,
zero_zero_int = pls,
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl85]) ).
thf(zip_derived_cl348,plain,
! [X2: int] :
( ( times_times_int @ zero_zero_int @ X2 )
= zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl344,zip_derived_cl344]) ).
thf(fact_13_one__power2,axiom,
( ( power_power_int @ one_one_int @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= one_one_int ) ).
thf(zip_derived_cl12,plain,
( ( power_power_int @ one_one_int @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= one_one_int ),
inference(cnf,[status(esa)],[fact_13_one__power2]) ).
thf(zip_derived_cl344_015,plain,
zero_zero_int = pls,
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl85]) ).
thf(zip_derived_cl350,plain,
( ( power_power_int @ one_one_int @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) )
= one_one_int ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl344]) ).
thf(fact_7_not__sum__power2__lt__zero,axiom,
! [X: int,Y: int] :
~ ( ord_less_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 ) ) ) ) ) @ zero_zero_int ) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: int] :
( !!
@ ^ [Y1: int] : ( (~) @ ( ord_less_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 ) ) ) ) ) @ zero_zero_int ) ) ) ),
inference(cnf,[status(esa)],[fact_7_not__sum__power2__lt__zero]) ).
thf(zip_derived_cl171,plain,
! [X2: int] :
( !!
@ ^ [Y0: int] : ( (~) @ ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ zero_zero_int ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl172,plain,
! [X2: int,X4: int] :
~ ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X4 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ zero_zero_int ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl171]) ).
thf(zip_derived_cl344_016,plain,
zero_zero_int = pls,
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl85]) ).
thf(zip_derived_cl344_017,plain,
zero_zero_int = pls,
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl85]) ).
thf(zip_derived_cl764,plain,
! [X2: int,X4: int] :
~ ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ ( power_power_int @ X4 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ) @ zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl344,zip_derived_cl344]) ).
thf(zip_derived_cl766,plain,
! [X0: int] :
~ ( ord_less_int @ ( plus_plus_int @ one_one_int @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ) @ zero_zero_int ),
inference('sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl764]) ).
thf(zip_derived_cl1447,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl344,zip_derived_cl344,zip_derived_cl348,zip_derived_cl766]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM924^1 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XIJ5ufjvD9 true
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 10:11:35 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.75 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.33/0.79 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.64/1.07 % Solved by lams/30_sp5.sh.
% 1.64/1.07 % done 301 iterations in 0.263s
% 1.64/1.07 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.64/1.07 % SZS output start Refutation
% See solution above
% 1.64/1.07
% 1.64/1.07
% 1.64/1.07 % Terminating...
% 2.06/1.16 % Runner terminated.
% 2.06/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------