%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM925+6 : 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.TBCu6zYvoi 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 04:48:43 PM UTC 2025
% Result : Theorem 5.29s 1.33s
% Output : Refutation 5.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 27 unt; 0 typ; 0 def)
% Number of atoms : 38 ( 27 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 400 ( 8 ~; 5 |; 0 &; 385 @)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 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 : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(power_power_type,type,
power_power: $i > $i > $i ).
thf(pls_type,type,
pls: $i ).
thf(ring_11004092258visors_type,type,
ring_11004092258visors: $i > $o ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(semiring_1_of_nat_type,type,
semiring_1_of_nat: $i > $i ).
thf(one_one_type,type,
one_one: $i > $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i > $i > $i ).
thf(ti_type,type,
ti: $i > $i > $i ).
thf(bit1_type,type,
bit1: $i ).
thf(number_number_of_type,type,
number_number_of: $i > $i > $i ).
thf(fun_type,type,
fun: $i > $i > $i ).
thf(zero_zero_type,type,
zero_zero: $i > $i ).
thf(bool_type,type,
bool: $i ).
thf(plus_plus_type,type,
plus_plus: $i > $i > $i ).
thf(bit0_type,type,
bit0: $i ).
thf(nat_type,type,
nat: $i ).
thf(int_type,type,
int: $i ).
thf(n_type,type,
n: $i ).
thf(ord_less_type,type,
ord_less: $i > $i ).
thf(fact_0_n1pos,axiom,
hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ ( zero_zero @ int ) ) @ ( hAPP @ int @ int @ ( plus_plus @ int @ ( one_one @ int ) ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) ) ).
thf(zip_derived_cl46,plain,
hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ ( zero_zero @ int ) ) @ ( hAPP @ int @ int @ ( plus_plus @ int @ ( one_one @ int ) ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) ),
inference(cnf,[status(esa)],[fact_0_n1pos]) ).
thf(fact_73_Pls__def,axiom,
( pls
= ( zero_zero @ int ) ) ).
thf(zip_derived_cl155,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_73_Pls__def]) ).
thf(fact_37_one__is__num__one,axiom,
( ( one_one @ int )
= ( number_number_of @ int @ ( hAPP @ int @ int @ bit1 @ pls ) ) ) ).
thf(zip_derived_cl96,plain,
( ( one_one @ int )
= ( number_number_of @ int @ ( hAPP @ int @ int @ bit1 @ pls ) ) ),
inference(cnf,[status(esa)],[fact_37_one__is__num__one]) ).
thf(fact_119_number__of__is__id,axiom,
! [K: $i] :
( ( number_number_of @ int @ K )
= K ) ).
thf(zip_derived_cl212,plain,
! [X0: $i] :
( ( number_number_of @ int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_119_number__of__is__id]) ).
thf(zip_derived_cl956,plain,
( ( one_one @ int )
= ( hAPP @ int @ int @ bit1 @ pls ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl212]) ).
thf(zip_derived_cl1493,plain,
hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ pls ) @ ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ int @ int @ bit1 @ pls ) ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl155,zip_derived_cl956]) ).
thf(conj_0,conjecture,
( ( hAPP @ nat @ int @ ( power_power @ int @ ( hAPP @ int @ int @ ( plus_plus @ int @ ( one_one @ int ) ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) ) @ ( number_number_of @ nat @ ( hAPP @ int @ int @ bit0 @ ( hAPP @ int @ int @ bit1 @ pls ) ) ) )
!= ( zero_zero @ int ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( hAPP @ nat @ int @ ( power_power @ int @ ( hAPP @ int @ int @ ( plus_plus @ int @ ( one_one @ int ) ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) ) @ ( number_number_of @ nat @ ( hAPP @ int @ int @ bit0 @ ( hAPP @ int @ int @ bit1 @ pls ) ) ) )
= ( zero_zero @ int ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl904,plain,
( ( hAPP @ nat @ int @ ( power_power @ int @ ( hAPP @ int @ int @ ( plus_plus @ int @ ( one_one @ int ) ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) ) @ ( number_number_of @ nat @ ( hAPP @ int @ int @ bit0 @ ( hAPP @ int @ int @ bit1 @ pls ) ) ) )
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl956_001,plain,
( ( one_one @ int )
= ( hAPP @ int @ int @ bit1 @ pls ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl212]) ).
thf(zip_derived_cl155_002,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_73_Pls__def]) ).
thf(zip_derived_cl1188,plain,
( ( hAPP @ nat @ int @ ( power_power @ int @ ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ int @ int @ bit1 @ pls ) ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) ) @ ( number_number_of @ nat @ ( hAPP @ int @ int @ bit0 @ ( hAPP @ int @ int @ bit1 @ pls ) ) ) )
= pls ),
inference(demod,[status(thm)],[zip_derived_cl904,zip_derived_cl956,zip_derived_cl155]) ).
thf(fact_5_zero__eq__power2,axiom,
! [X_a: $i] :
( ( ring_11004092258visors @ X_a )
=> ! [A_2: $i] :
( ( ( hAPP @ nat @ X_a @ ( power_power @ X_a @ A_2 ) @ ( number_number_of @ nat @ ( hAPP @ int @ int @ bit0 @ ( hAPP @ int @ int @ bit1 @ pls ) ) ) )
= ( zero_zero @ X_a ) )
<=> ( ( ti @ X_a @ A_2 )
= ( zero_zero @ X_a ) ) ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP @ nat @ X0 @ ( power_power @ X0 @ X1 ) @ ( number_number_of @ nat @ ( hAPP @ int @ int @ bit0 @ ( hAPP @ int @ int @ bit1 @ pls ) ) ) )
!= ( zero_zero @ X0 ) )
| ( ( ti @ X0 @ X1 )
= ( zero_zero @ X0 ) )
| ~ ( ring_11004092258visors @ X0 ) ),
inference(cnf,[status(esa)],[fact_5_zero__eq__power2]) ).
thf(zip_derived_cl2045,plain,
( ( pls
!= ( zero_zero @ int ) )
| ( ( ti @ int @ ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ int @ int @ bit1 @ pls ) ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) )
= ( zero_zero @ int ) )
| ~ ( ring_11004092258visors @ int ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1188,zip_derived_cl54]) ).
thf(zip_derived_cl155_003,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_73_Pls__def]) ).
thf(zip_derived_cl155_004,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_73_Pls__def]) ).
thf(arity_Int_Oint___Rings_Oring__1__no__zero__divisors,axiom,
ring_11004092258visors @ int ).
thf(zip_derived_cl798,plain,
ring_11004092258visors @ int,
inference(cnf,[status(esa)],[arity_Int_Oint___Rings_Oring__1__no__zero__divisors]) ).
thf(zip_derived_cl2055,plain,
( ( pls != pls )
| ( ( ti @ int @ ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ int @ int @ bit1 @ pls ) ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) )
= pls ) ),
inference(demod,[status(thm)],[zip_derived_cl2045,zip_derived_cl155,zip_derived_cl155,zip_derived_cl798]) ).
thf(zip_derived_cl2056,plain,
( ( ti @ int @ ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ int @ int @ bit1 @ pls ) ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) )
= pls ),
inference(simplify,[status(thm)],[zip_derived_cl2055]) ).
thf(tsy_c_hAPP_4_res,axiom,
! [X_a: $i,B_1_1: $i,B_2: $i] :
( ( ti @ X_a @ ( hAPP @ X_a @ X_a @ B_1_1 @ B_2 ) )
= ( hAPP @ X_a @ X_a @ B_1_1 @ B_2 ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ti @ X0 @ ( hAPP @ X0 @ X0 @ X1 @ X2 ) )
= ( hAPP @ X0 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[tsy_c_hAPP_4_res]) ).
thf(zip_derived_cl3261,plain,
( pls
= ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ int @ int @ bit1 @ pls ) ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2056,zip_derived_cl39]) ).
thf(fact_32_rel__simps_I2_J,axiom,
~ ( hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ pls ) @ pls ) ) ).
thf(zip_derived_cl87,plain,
~ ( hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ pls ) @ pls ) ),
inference(cnf,[status(esa)],[fact_32_rel__simps_I2_J]) ).
thf(zip_derived_cl3314,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1493,zip_derived_cl3261,zip_derived_cl87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM925+6 : TPTP v9.2.0. Released v5.3.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TBCu6zYvoi true
% 0.13/0.34 % Computer : n017.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 : Wed Oct 1 16:28:23 EDT 2025
% 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
% 0.53/0.66 % Total configuration time : 435
% 0.53/0.66 % Estimated wc time : 1092
% 0.53/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.29/1.33 % Solved by fo/fo1_av.sh.
% 5.29/1.33 % done 748 iterations in 0.599s
% 5.29/1.33 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.29/1.33 % SZS output start Refutation
% See solution above
% 5.29/1.33
% 5.29/1.33
% 5.29/1.33 % Terminating...
% 5.29/1.35 % Runner terminated.
% 5.29/1.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------