TSTP Solution File: NUM924_2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM924_2 : 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.VNncPmhzBK true
% Computer : n031.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 12:44:47 EDT 2023
% Result : Theorem 0.57s 1.05s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 27
% Syntax : Number of formulae : 63 ( 47 unt; 16 typ; 0 def)
% Number of atoms : 47 ( 35 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 290 ( 6 ~; 0 |; 0 &; 284 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 0 ^; 23 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(int_type,type,
int: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(pls_type,type,
pls: int ).
thf(number_number_of_int_type,type,
number_number_of_int: int > int ).
thf(zero_zero_int_type,type,
zero_zero_int: int ).
thf(power_power_int_type,type,
power_power_int: int > nat > int ).
thf(one_one_int_type,type,
one_one_int: int ).
thf(plus_plus_int_type,type,
plus_plus_int: int > int > int ).
thf(bit1_type,type,
bit1: int > int ).
thf(t_type,type,
t: int ).
thf(s_type,type,
s: int ).
thf(bit0_type,type,
bit0: int > int ).
thf(ord_less_int_type,type,
ord_less_int: int > int > $o ).
thf(number_number_of_nat_type,type,
number_number_of_nat: int > nat ).
thf(m_type,type,
m: int ).
thf(times_times_int_type,type,
times_times_int: 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_170_Pls__def,axiom,
pls = zero_zero_int ).
thf(zip_derived_cl254,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_170_Pls__def]) ).
thf(zip_derived_cl254_001,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_170_Pls__def]) ).
thf(zip_derived_cl948,plain,
ord_less_int @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ one_one_int ) @ t ) @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ one_one_int ) @ zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl254,zip_derived_cl254]) ).
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_cl254_002,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_170_Pls__def]) ).
thf(zip_derived_cl254_003,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_170_Pls__def]) ).
thf(zip_derived_cl955,plain,
( ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ one_one_int )
= ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ one_one_int ) @ t ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl254,zip_derived_cl254]) ).
thf(zip_derived_cl956,plain,
ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ one_one_int ) @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ one_one_int ) @ zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl948,zip_derived_cl955]) ).
thf(fact_261_semiring__one__add__one__is__two,axiom,
( ( plus_plus_int @ one_one_int @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ pls ) ) ) ) ).
thf(zip_derived_cl367,plain,
( ( plus_plus_int @ one_one_int @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ pls ) ) ) ),
inference(cnf,[status(esa)],[fact_261_semiring__one__add__one__is__two]) ).
thf(zip_derived_cl254_004,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_170_Pls__def]) ).
thf(fact_34_number__of__is__id,axiom,
! [K_1: int] :
( ( number_number_of_int @ K_1 )
= K_1 ) ).
thf(zip_derived_cl46,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_34_number__of__is__id]) ).
thf(zip_derived_cl967,plain,
( ( plus_plus_int @ one_one_int @ one_one_int )
= ( bit0 @ ( bit1 @ zero_zero_int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl254,zip_derived_cl46]) ).
thf(fact_180_Bit0__def,axiom,
! [K_1: int] :
( ( bit0 @ K_1 )
= ( plus_plus_int @ K_1 @ K_1 ) ) ).
thf(zip_derived_cl268,plain,
! [X0: int] :
( ( bit0 @ X0 )
= ( plus_plus_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_180_Bit0__def]) ).
thf(zip_derived_cl1001,plain,
( ( bit0 @ one_one_int )
= ( bit0 @ ( bit1 @ zero_zero_int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl967,zip_derived_cl268]) ).
thf(fact_201_power2__eq__square,axiom,
! [A_50: int] :
( ( power_power_int @ A_50 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= ( times_times_int @ A_50 @ A_50 ) ) ).
thf(zip_derived_cl289,plain,
! [X0: int] :
( ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= ( times_times_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_201_power2__eq__square]) ).
thf(zip_derived_cl254_005,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_170_Pls__def]) ).
thf(zip_derived_cl1001_006,plain,
( ( bit0 @ one_one_int )
= ( bit0 @ ( bit1 @ zero_zero_int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl967,zip_derived_cl268]) ).
thf(zip_derived_cl1028,plain,
! [X0: int] :
( ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) )
= ( times_times_int @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl289,zip_derived_cl254,zip_derived_cl1001]) ).
thf(fact_132_zadd__commute,axiom,
! [Z: int,W: int] :
( ( plus_plus_int @ Z @ W )
= ( plus_plus_int @ W @ Z ) ) ).
thf(zip_derived_cl202,plain,
! [X0: int,X1: int] :
( ( plus_plus_int @ X1 @ X0 )
= ( plus_plus_int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_132_zadd__commute]) ).
thf(zip_derived_cl1001_007,plain,
( ( bit0 @ one_one_int )
= ( bit0 @ ( bit1 @ zero_zero_int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl967,zip_derived_cl268]) ).
thf(zip_derived_cl46_008,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_34_number__of__is__id]) ).
thf(fact_35_zmult__commute,axiom,
! [Z: int,W: int] :
( ( times_times_int @ Z @ W )
= ( times_times_int @ W @ Z ) ) ).
thf(zip_derived_cl47,plain,
! [X0: int,X1: int] :
( ( times_times_int @ X1 @ X0 )
= ( times_times_int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_35_zmult__commute]) ).
thf(zip_derived_cl202_009,plain,
! [X0: int,X1: int] :
( ( plus_plus_int @ X1 @ X0 )
= ( plus_plus_int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_132_zadd__commute]) ).
thf(fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [A_37: int] :
( ( times_times_int @ A_37 @ zero_zero_int )
= zero_zero_int ) ).
thf(zip_derived_cl489,plain,
! [X0: int] :
( ( times_times_int @ X0 @ zero_zero_int )
= zero_zero_int ),
inference(cnf,[status(esa)],[fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).
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_cl930,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_cl254_010,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_170_Pls__def]) ).
thf(zip_derived_cl953,plain,
~ ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ one_one_int ) @ zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl930,zip_derived_cl254]) ).
thf(zip_derived_cl202_011,plain,
! [X0: int,X1: int] :
( ( plus_plus_int @ X1 @ X0 )
= ( plus_plus_int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_132_zadd__commute]) ).
thf(zip_derived_cl996,plain,
~ ( ord_less_int @ ( plus_plus_int @ one_one_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ) @ zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl953,zip_derived_cl202]) ).
thf(zip_derived_cl1001_012,plain,
( ( bit0 @ one_one_int )
= ( bit0 @ ( bit1 @ zero_zero_int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl967,zip_derived_cl268]) ).
thf(zip_derived_cl1014,plain,
~ ( ord_less_int @ ( plus_plus_int @ one_one_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) ) ) @ zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl996,zip_derived_cl1001]) ).
thf(zip_derived_cl1028_013,plain,
! [X0: int] :
( ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) )
= ( times_times_int @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl289,zip_derived_cl254,zip_derived_cl1001]) ).
thf(zip_derived_cl1030,plain,
~ ( ord_less_int @ ( plus_plus_int @ one_one_int @ ( times_times_int @ s @ s ) ) @ zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl1014,zip_derived_cl1028]) ).
thf(zip_derived_cl1217,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl956,zip_derived_cl1001,zip_derived_cl1028,zip_derived_cl202,zip_derived_cl1001,zip_derived_cl46,zip_derived_cl47,zip_derived_cl202,zip_derived_cl489,zip_derived_cl1030]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM924_2 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VNncPmhzBK true
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 12:55:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/1.05 % Solved by fo/fo13.sh.
% 0.57/1.05 % done 0 iterations in 0.262s
% 0.57/1.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/1.05 % SZS output start Refutation
% See solution above
% 0.57/1.05
% 0.57/1.05
% 0.57/1.05 % Terminating...
% 1.68/1.15 % Runner terminated.
% 1.68/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------