TSTP Solution File: NUM924+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM924+3 : 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.coSz21TxoN true
% Computer : n018.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 12:44:48 EDT 2023
% Result : Theorem 2.76s 1.02s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 29
% Syntax : Number of formulae : 62 ( 33 unt; 20 typ; 0 def)
% Number of atoms : 51 ( 27 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 280 ( 12 ~; 4 |; 0 &; 259 @)
% ( 0 <=>; 2 =>; 3 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 8 con; 0-2 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(bit0_type,type,
bit0: $i > $i ).
thf(one_one_int_type,type,
one_one_int: $i ).
thf(s_type,type,
s: $i ).
thf(hAPP_nat_int_type,type,
hAPP_nat_int: $i > $i > $i ).
thf(t_type,type,
t: $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(power_power_int_type,type,
power_power_int: $i > $i ).
thf(hAPP_int_int_type,type,
hAPP_int_int: $i > $i > $i ).
thf(m_type,type,
m: $i ).
thf(is_int_type,type,
is_int: $i > $o ).
thf(zero_zero_int_type,type,
zero_zero_int: $i ).
thf(hAPP_i1948725293t_bool_type,type,
hAPP_i1948725293t_bool: $i > $i > $i ).
thf(number_number_of_nat_type,type,
number_number_of_nat: $i > $i ).
thf(hAPP_int_bool_type,type,
hAPP_int_bool: $i > $i > $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 ).
thf(pls_type,type,
pls: $i ).
thf(bit1_type,type,
bit1: $i > $i ).
thf(plus_plus_int_type,type,
plus_plus_int: $i > $i ).
thf(ord_less_int_type,type,
ord_less_int: $i ).
thf(conj_0,conjecture,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ s ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ one_one_int ) ) @ zero_zero_int ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_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_cl1759,plain,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_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(fact_172_Pls__def,axiom,
pls = zero_zero_int ).
thf(zip_derived_cl283,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl1799,plain,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_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_cl1759,zip_derived_cl283]) ).
thf(fact_160_one__is__num__one,axiom,
( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) ) ).
thf(zip_derived_cl265,plain,
( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) ),
inference(cnf,[status(esa)],[fact_160_one__is__num__one]) ).
thf(zip_derived_cl283_001,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl1790,plain,
( one_one_int
= ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl283]) ).
thf(fact_34_number__of__is__id,axiom,
! [K_1: $i] :
( ( is_int @ K_1 )
=> ( ( number_number_of_int @ K_1 )
= K_1 ) ) ).
thf(zip_derived_cl72,plain,
! [X0: $i] :
( ( ( number_number_of_int @ X0 )
= X0 )
| ~ ( is_int @ X0 ) ),
inference(cnf,[status(esa)],[fact_34_number__of__is__id]) ).
thf(zip_derived_cl1837,plain,
( ( one_one_int
= ( bit1 @ zero_zero_int ) )
| ~ ( is_int @ ( bit1 @ zero_zero_int ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1790,zip_derived_cl72]) ).
thf(zip_derived_cl1878,plain,
( ( one_one_int
= ( bit1 @ zero_zero_int ) )
<= ( one_one_int
= ( bit1 @ zero_zero_int ) ) ),
inference(split,[status(esa)],[zip_derived_cl1837]) ).
thf(gsy_c_Int_OBit1,axiom,
! [B_1_1: $i] :
( ( is_int @ B_1_1 )
=> ( is_int @ ( bit1 @ B_1_1 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( is_int @ ( bit1 @ X0 ) )
| ~ ( is_int @ X0 ) ),
inference(cnf,[status(esa)],[gsy_c_Int_OBit1]) ).
thf(zip_derived_cl1877,plain,
( ~ ( is_int @ ( bit1 @ zero_zero_int ) )
<= ~ ( is_int @ ( bit1 @ zero_zero_int ) ) ),
inference(split,[status(esa)],[zip_derived_cl1837]) ).
thf(zip_derived_cl1880,plain,
( ~ ( is_int @ zero_zero_int )
<= ~ ( is_int @ ( bit1 @ zero_zero_int ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1877]) ).
thf(gsy_c_Groups_Ozero__class_Ozero_000tc__Int__Oint,axiom,
is_int @ zero_zero_int ).
thf(zip_derived_cl1,plain,
is_int @ zero_zero_int,
inference(cnf,[status(esa)],[gsy_c_Groups_Ozero__class_Ozero_000tc__Int__Oint]) ).
thf('0',plain,
is_int @ ( bit1 @ zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl1880,zip_derived_cl1]) ).
thf('1',plain,
( ( one_one_int
= ( bit1 @ zero_zero_int ) )
| ~ ( is_int @ ( bit1 @ zero_zero_int ) ) ),
inference(split,[status(esa)],[zip_derived_cl1837]) ).
thf('2',plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl1883,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1878,'2']) ).
thf(zip_derived_cl1887,plain,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ s ) @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) ) ) @ one_one_int ) ) @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl1799,zip_derived_cl1883]) ).
thf(fact_3_t,axiom,
( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ s ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ one_one_int )
= ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ) ).
thf(zip_derived_cl28,plain,
( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ s ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ one_one_int )
= ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_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_cl283_002,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl1883_003,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1878,'2']) ).
thf(zip_derived_cl283_004,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl1883_005,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1878,'2']) ).
thf(zip_derived_cl1963,plain,
( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ s ) @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) ) ) @ one_one_int )
= ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ one_one_int ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl283,zip_derived_cl1883,zip_derived_cl283,zip_derived_cl1883]) ).
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,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ) @ ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ zero_zero_int ) ) ).
thf(zip_derived_cl27,plain,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ) @ ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_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(zip_derived_cl283_006,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl1883_007,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1878,'2']) ).
thf(zip_derived_cl283_008,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl1883_009,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1878,'2']) ).
thf(fact_367_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [A_90: $i] :
( ( hAPP_int_int @ ( times_times_int @ A_90 ) @ zero_zero_int )
= zero_zero_int ) ).
thf(zip_derived_cl523,plain,
! [X0: $i] :
( ( hAPP_int_int @ ( times_times_int @ X0 ) @ zero_zero_int )
= zero_zero_int ),
inference(cnf,[status(esa)],[fact_367_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).
thf(zip_derived_cl1951,plain,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ one_one_int ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ) @ zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl283,zip_derived_cl1883,zip_derived_cl283,zip_derived_cl1883,zip_derived_cl523]) ).
thf(zip_derived_cl1964,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1887,zip_derived_cl1963,zip_derived_cl1951]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM924+3 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.coSz21TxoN true
% 0.14/0.34 % Computer : n018.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 10:44:43 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 FO mode
% 0.20/0.58 % Total configuration time : 435
% 0.20/0.58 % Estimated wc time : 1092
% 0.20/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.64 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.66 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.66 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.76/1.02 % Solved by fo/fo1_av.sh.
% 2.76/1.02 % done 214 iterations in 0.321s
% 2.76/1.02 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.76/1.02 % SZS output start Refutation
% See solution above
% 2.76/1.02
% 2.76/1.02
% 2.76/1.02 % Terminating...
% 3.40/1.08 % Runner terminated.
% 3.40/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------