%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM925+5 : TPTP v9.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cTafS5CPTe true
% Computer : n022.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 04:48:42 PM UTC 2025
% Result : Theorem 0.50s 1.00s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 49 ( 38 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 245 ( 10 ~; 7 |; 0 &; 225 @)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(ring_11004092258visors_type,type,
ring_11004092258visors: $i > $o ).
thf(pls_type,type,
pls: $i ).
thf(ti_type,type,
ti: $i > $i > $i ).
thf(bit1_type,type,
bit1: $i > $i ).
thf(power_power_type,type,
power_power: $i > $i > $i > $i ).
thf(ord_less_type,type,
ord_less: $i > $i > $i > $o ).
thf(bit0_type,type,
bit0: $i > $i ).
thf(n_type,type,
n: $i ).
thf(plus_plus_type,type,
plus_plus: $i > $i > $i > $i ).
thf(int_type,type,
int: $i ).
thf(number_number_of_type,type,
number_number_of: $i > $i > $i ).
thf(zero_zero_type,type,
zero_zero: $i > $i ).
thf(semiring_1_of_nat_type,type,
semiring_1_of_nat: $i > $i > $i ).
thf(one_one_type,type,
one_one: $i > $i ).
thf(nat_type,type,
nat: $i ).
thf(fact_0_n1pos,axiom,
ord_less @ int @ ( zero_zero @ int ) @ ( plus_plus @ int @ ( one_one @ int ) @ ( semiring_1_of_nat @ int @ n ) ) ).
thf(zip_derived_cl36,plain,
ord_less @ int @ ( zero_zero @ int ) @ ( plus_plus @ int @ ( one_one @ 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_cl145,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_73_Pls__def]) ).
thf(zip_derived_cl1215,plain,
ord_less @ int @ pls @ ( plus_plus @ int @ ( one_one @ int ) @ ( semiring_1_of_nat @ int @ n ) ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl145]) ).
thf(fact_92_Bit1__def,axiom,
! [K: $i] :
( ( bit1 @ K )
= ( plus_plus @ int @ ( plus_plus @ int @ ( one_one @ int ) @ K ) @ K ) ) ).
thf(zip_derived_cl166,plain,
! [X0: $i] :
( ( bit1 @ X0 )
= ( plus_plus @ int @ ( plus_plus @ int @ ( one_one @ int ) @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[fact_92_Bit1__def]) ).
thf(fact_75_add__Pls__right,axiom,
! [K: $i] :
( ( plus_plus @ int @ K @ pls )
= K ) ).
thf(zip_derived_cl147,plain,
! [X0: $i] :
( ( plus_plus @ int @ X0 @ pls )
= X0 ),
inference(cnf,[status(esa)],[fact_75_add__Pls__right]) ).
thf(zip_derived_cl1754,plain,
( ( bit1 @ pls )
= ( plus_plus @ int @ ( one_one @ int ) @ pls ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl166,zip_derived_cl147]) ).
thf(zip_derived_cl147_001,plain,
! [X0: $i] :
( ( plus_plus @ int @ X0 @ pls )
= X0 ),
inference(cnf,[status(esa)],[fact_75_add__Pls__right]) ).
thf(zip_derived_cl1777,plain,
( ( bit1 @ pls )
= ( one_one @ int ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1754,zip_derived_cl147]) ).
thf(zip_derived_cl1794,plain,
ord_less @ int @ pls @ ( plus_plus @ int @ ( bit1 @ pls ) @ ( semiring_1_of_nat @ int @ n ) ),
inference(demod,[status(thm)],[zip_derived_cl1215,zip_derived_cl1777]) ).
thf(conj_0,conjecture,
( ( power_power @ int @ ( plus_plus @ int @ ( one_one @ int ) @ ( semiring_1_of_nat @ int @ n ) ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= ( zero_zero @ int ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( power_power @ int @ ( plus_plus @ int @ ( one_one @ int ) @ ( semiring_1_of_nat @ int @ n ) ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= ( zero_zero @ int ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl197,plain,
( ( power_power @ int @ ( plus_plus @ int @ ( one_one @ int ) @ ( semiring_1_of_nat @ int @ n ) ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl145_002,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_73_Pls__def]) ).
thf(zip_derived_cl1337,plain,
( ( power_power @ int @ ( plus_plus @ int @ ( one_one @ int ) @ ( semiring_1_of_nat @ int @ n ) ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= pls ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl145]) ).
thf(zip_derived_cl1777_003,plain,
( ( bit1 @ pls )
= ( one_one @ int ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1754,zip_derived_cl147]) ).
thf(zip_derived_cl1799,plain,
( ( power_power @ int @ ( plus_plus @ int @ ( bit1 @ pls ) @ ( semiring_1_of_nat @ int @ n ) ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= pls ),
inference(demod,[status(thm)],[zip_derived_cl1337,zip_derived_cl1777]) ).
thf(arity_Int_Oint___Rings_Oring__1__no__zero__divisors,axiom,
ring_11004092258visors @ int ).
thf(zip_derived_cl176,plain,
ring_11004092258visors @ int,
inference(cnf,[status(esa)],[arity_Int_Oint___Rings_Oring__1__no__zero__divisors]) ).
thf(fact_5_zero__eq__power2,axiom,
! [X_a: $i] :
( ( ring_11004092258visors @ X_a )
=> ! [A_2: $i] :
( ( ( power_power @ X_a @ A_2 @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= ( zero_zero @ X_a ) )
<=> ( ( ti @ X_a @ A_2 )
= ( zero_zero @ X_a ) ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ( ( power_power @ X0 @ X1 @ ( number_number_of @ nat @ ( bit0 @ ( 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_cl712,plain,
! [X0: $i] :
( ( ( ti @ int @ X0 )
= ( zero_zero @ int ) )
| ( ( power_power @ int @ X0 @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= ( zero_zero @ int ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl176,zip_derived_cl44]) ).
thf(tsy_c_Int_OBit1_arg1,axiom,
! [B_1: $i] :
( ( bit1 @ ( ti @ int @ B_1 ) )
= ( bit1 @ B_1 ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( bit1 @ ( ti @ int @ X0 ) )
= ( bit1 @ X0 ) ),
inference(cnf,[status(esa)],[tsy_c_Int_OBit1_arg1]) ).
thf(fact_42_rel__simps_I51_J,axiom,
! [K_1: $i,L_1: $i] :
( ( ( bit1 @ K_1 )
= ( bit1 @ L_1 ) )
<=> ( K_1 = L_1 ) ) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( ( bit1 @ X1 )
!= ( bit1 @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_42_rel__simps_I51_J]) ).
thf(zip_derived_cl1216,plain,
! [X0: $i,X1: $i] :
( ( ( ti @ int @ X0 )
= X1 )
| ( ( bit1 @ X0 )
!= ( bit1 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl93]) ).
thf(zip_derived_cl1221,plain,
! [X0: $i] :
( ( ti @ int @ X0 )
= X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl1216]) ).
thf(zip_derived_cl145_004,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_73_Pls__def]) ).
thf(zip_derived_cl145_005,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_73_Pls__def]) ).
thf(zip_derived_cl1929,plain,
! [X0: $i] :
( ( X0 = pls )
| ( ( power_power @ int @ X0 @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= pls ) ),
inference(demod,[status(thm)],[zip_derived_cl712,zip_derived_cl1221,zip_derived_cl145,zip_derived_cl145]) ).
thf(zip_derived_cl2182,plain,
( ( ( plus_plus @ int @ ( bit1 @ pls ) @ ( semiring_1_of_nat @ int @ n ) )
= pls )
| ( pls != pls ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1799,zip_derived_cl1929]) ).
thf(zip_derived_cl2188,plain,
( ( plus_plus @ int @ ( bit1 @ pls ) @ ( semiring_1_of_nat @ int @ n ) )
= pls ),
inference(simplify,[status(thm)],[zip_derived_cl2182]) ).
thf(fact_32_rel__simps_I2_J,axiom,
~ ( ord_less @ int @ pls @ pls ) ).
thf(zip_derived_cl77,plain,
~ ( ord_less @ int @ pls @ pls ),
inference(cnf,[status(esa)],[fact_32_rel__simps_I2_J]) ).
thf(zip_derived_cl2359,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1794,zip_derived_cl2188,zip_derived_cl77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.19 % Problem : NUM925+5 : TPTP v9.2.0. Released v5.3.0.
% 0.12/0.19 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cTafS5CPTe true
% 0.12/0.41 % Computer : n022.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8042.1875MB
% 0.12/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Wed Oct 1 16:48:53 EDT 2025
% 0.12/0.41 % CPUTime :
% 0.12/0.41 % Running portfolio for 300 s
% 0.12/0.41 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41 % Number of cores: 8
% 0.12/0.42 % Python version: Python 3.6.8
% 0.12/0.42 % Running in FO mode
% 0.46/0.66 % Total configuration time : 435
% 0.46/0.66 % Estimated wc time : 1092
% 0.46/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.50/1.00 % Solved by fo/fo6_bce.sh.
% 0.50/1.00 % BCE start: 198
% 0.50/1.00 % BCE eliminated: 3
% 0.50/1.00 % PE start: 195
% 0.50/1.00 logic: eq
% 0.50/1.00 % PE eliminated: -11
% 0.50/1.00 % done 416 iterations in 0.224s
% 0.50/1.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/1.00 % SZS output start Refutation
% See solution above
% 0.50/1.00
% 0.50/1.00
% 0.50/1.00 % Terminating...
% 0.54/1.08 % Runner terminated.
% 0.54/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------