%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM924+7 : TPTP v9.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YVTbOxUaYM true
% Computer : n017.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 04:48:40 PM UTC 2025
% Result : Theorem 4.32s 1.33s
% Output : Refutation 4.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 24 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 652 ( 4 ~; 0 |; 0 &; 648 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 8 con; 0-4 aty)
% Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(pls_type,type,
pls: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i > $i > $i ).
thf(number_number_of_type,type,
number_number_of: $i > $i > $i ).
thf(zero_zero_type,type,
zero_zero: $i > $i ).
thf(one_one_type,type,
one_one: $i > $i ).
thf(fun_type,type,
fun: $i > $i > $i ).
thf(plus_plus_type,type,
plus_plus: $i > $i > $i ).
thf(bit1_type,type,
bit1: $i > $i ).
thf(int_type,type,
int: $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(power_power_type,type,
power_power: $i > $i > $i ).
thf(times_times_type,type,
times_times: $i > $i > $i ).
thf(t_type,type,
t: $i ).
thf(nat_type,type,
nat: $i ).
thf(s_type,type,
s: $i ).
thf(ord_less_type,type,
ord_less: $i > $i ).
thf(m_type,type,
m: $i ).
thf(bit0_type,type,
bit0: $i > $i ).
thf(bool_type,type,
bool: $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,
hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ 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_cl100,plain,
hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ 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(fact_23_zmult__commute,axiom,
! [Z_1: $i,W: $i] :
( ( hAPP @ int @ int @ ( times_times @ int @ Z_1 ) @ W )
= ( hAPP @ int @ int @ ( times_times @ int @ W ) @ Z_1 ) ) ).
thf(zip_derived_cl127,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ int @ int @ ( times_times @ int @ X1 ) @ X0 )
= ( hAPP @ int @ int @ ( times_times @ int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_23_zmult__commute]) ).
thf(fact_98_zadd__commute,axiom,
! [Z_1: $i,W: $i] :
( ( hAPP @ int @ int @ ( plus_plus @ int @ Z_1 ) @ W )
= ( hAPP @ int @ int @ ( plus_plus @ int @ W ) @ Z_1 ) ) ).
thf(zip_derived_cl247,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ int @ int @ ( plus_plus @ int @ X1 ) @ X0 )
= ( hAPP @ int @ int @ ( plus_plus @ int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_98_zadd__commute]) ).
thf(zip_derived_cl127_001,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ int @ int @ ( times_times @ int @ X1 ) @ X0 )
= ( hAPP @ int @ int @ ( times_times @ int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_23_zmult__commute]) ).
thf(zip_derived_cl127_002,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ int @ int @ ( times_times @ int @ X1 ) @ X0 )
= ( hAPP @ int @ int @ ( times_times @ int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_23_zmult__commute]) ).
thf(zip_derived_cl247_003,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ int @ int @ ( plus_plus @ int @ X1 ) @ X0 )
= ( hAPP @ int @ int @ ( plus_plus @ int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_98_zadd__commute]) ).
thf(fact_122_Pls__def,axiom,
( pls
= ( zero_zero @ int ) ) ).
thf(zip_derived_cl280,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_122_Pls__def]) ).
thf(zip_derived_cl127_004,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ int @ int @ ( times_times @ int @ X1 ) @ X0 )
= ( hAPP @ int @ int @ ( times_times @ int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_23_zmult__commute]) ).
thf(fact_62_mult__Pls,axiom,
! [W: $i] :
( ( hAPP @ int @ int @ ( times_times @ int @ pls ) @ W )
= pls ) ).
thf(zip_derived_cl189,plain,
! [X0: $i] :
( ( hAPP @ int @ int @ ( times_times @ int @ pls ) @ X0 )
= pls ),
inference(cnf,[status(esa)],[fact_62_mult__Pls]) ).
thf(zip_derived_cl1801,plain,
hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ ( hAPP @ int @ int @ ( times_times @ int @ t ) @ ( hAPP @ int @ int @ ( plus_plus @ int @ ( one_one @ int ) ) @ ( hAPP @ int @ int @ ( times_times @ int @ m ) @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ) ) @ pls ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl127,zip_derived_cl247,zip_derived_cl127,zip_derived_cl127,zip_derived_cl247,zip_derived_cl280,zip_derived_cl127,zip_derived_cl189]) ).
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_cl101,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(fact_61_nat__1__add__1,axiom,
( ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) )
= ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ).
thf(zip_derived_cl188,plain,
( ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) )
= ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ),
inference(cnf,[status(esa)],[fact_61_nat__1__add__1]) ).
thf(zip_derived_cl247_005,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ int @ int @ ( plus_plus @ int @ X1 ) @ X0 )
= ( hAPP @ int @ int @ ( plus_plus @ int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_98_zadd__commute]) ).
thf(zip_derived_cl127_006,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ int @ int @ ( times_times @ int @ X1 ) @ X0 )
= ( hAPP @ int @ int @ ( times_times @ int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_23_zmult__commute]) ).
thf(zip_derived_cl247_007,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ int @ int @ ( plus_plus @ int @ X1 ) @ X0 )
= ( hAPP @ int @ int @ ( plus_plus @ int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_98_zadd__commute]) ).
thf(zip_derived_cl127_008,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ int @ int @ ( times_times @ int @ X1 ) @ X0 )
= ( hAPP @ int @ int @ ( times_times @ int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_23_zmult__commute]) ).
thf(zip_derived_cl1804,plain,
( ( hAPP @ int @ int @ ( plus_plus @ int @ ( one_one @ int ) ) @ ( hAPP @ nat @ int @ ( power_power @ int @ s ) @ ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) ) ) )
= ( hAPP @ int @ int @ ( times_times @ int @ t ) @ ( hAPP @ int @ int @ ( plus_plus @ int @ ( one_one @ int ) ) @ ( hAPP @ int @ int @ ( times_times @ int @ m ) @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl188,zip_derived_cl247,zip_derived_cl127,zip_derived_cl247,zip_derived_cl127]) ).
thf(conj_0,conjecture,
hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ 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 @ int @ ( fun @ int @ 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_cl1710,plain,
~ ( hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ 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(zip_derived_cl188_009,plain,
( ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) )
= ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ),
inference(cnf,[status(esa)],[fact_61_nat__1__add__1]) ).
thf(zip_derived_cl280_010,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_122_Pls__def]) ).
thf(zip_derived_cl1719,plain,
~ ( hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ nat @ int @ ( power_power @ int @ s ) @ ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) ) ) ) @ ( one_one @ int ) ) ) @ pls ) ),
inference(demod,[status(thm)],[zip_derived_cl1710,zip_derived_cl188,zip_derived_cl280]) ).
thf(zip_derived_cl247_011,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ int @ int @ ( plus_plus @ int @ X1 ) @ X0 )
= ( hAPP @ int @ int @ ( plus_plus @ int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_98_zadd__commute]) ).
thf(zip_derived_cl1754,plain,
~ ( hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ ( hAPP @ int @ int @ ( plus_plus @ int @ ( one_one @ int ) ) @ ( hAPP @ nat @ int @ ( power_power @ int @ s ) @ ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) ) ) ) ) @ pls ) ),
inference(demod,[status(thm)],[zip_derived_cl1719,zip_derived_cl247]) ).
thf(zip_derived_cl1805,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl1804,zip_derived_cl1754]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.20 % Problem : NUM924+7 : TPTP v9.2.0. Released v5.3.0.
% 0.11/0.21 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YVTbOxUaYM true
% 0.14/0.43 % Computer : n017.cluster.edu
% 0.14/0.43 % Model : x86_64 x86_64
% 0.14/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.43 % Memory : 8042.1875MB
% 0.14/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.43 % CPULimit : 300
% 0.14/0.43 % WCLimit : 300
% 0.14/0.43 % DateTime : Wed Oct 1 16:46:53 EDT 2025
% 0.14/0.43 % CPUTime :
% 0.14/0.43 % Running portfolio for 300 s
% 0.14/0.43 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.43 % Number of cores: 8
% 0.14/0.43 % Python version: Python 3.6.8
% 0.14/0.44 % Running in FO mode
% 0.32/0.72 % Total configuration time : 435
% 0.32/0.72 % Estimated wc time : 1092
% 0.32/0.72 % Estimated cpu time (7 cpus) : 156.0
% 0.35/0.78 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.35/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.35/0.81 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.35/0.83 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.35/0.83 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.35/0.83 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.35/0.84 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.32/1.33 % Solved by fo/fo13.sh.
% 4.32/1.33 % done 0 iterations in 0.478s
% 4.32/1.33 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.32/1.33 % SZS output start Refutation
% See solution above
% 4.32/1.33
% 4.32/1.33
% 4.32/1.33 % Terminating...
% 5.03/1.46 % Runner terminated.
% 5.03/1.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------