%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM344+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MgRHD8qWUm true
% Computer : n004.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 04:46:12 PM UTC 2025
% Result : Theorem 12.07s 2.64s
% Output : Refutation 12.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 68 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 350 ( 32 ~; 25 |; 8 &; 282 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 51 ( 0 ^; 47 !; 4 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(n1_type,type,
n1: $i ).
thf(rdnn_type,type,
rdnn: $i > $i ).
thf(rdn_pos_type,type,
rdn_pos: $i > $i ).
thf(rdn_digit_add_type,type,
rdn_digit_add: $i > $i > $i > $i > $o ).
thf(n0_type,type,
n0: $i ).
thf(rdn_translate_type,type,
rdn_translate: $i > $i > $o ).
thf(rdn_positive_less_type,type,
rdn_positive_less: $i > $i > $o ).
thf(rdn_add_with_carry_type,type,
rdn_add_with_carry: $i > $i > $i > $i > $o ).
thf(sum_type,type,
sum: $i > $i > $i > $o ).
thf(less_type,type,
less: $i > $i > $o ).
thf(rdn_positive_less01,axiom,
rdn_positive_less @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ).
thf(zip_derived_cl10,plain,
rdn_positive_less @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
inference(cnf,[status(esa)],[rdn_positive_less01]) ).
thf(rdn0,axiom,
rdn_translate @ n0 @ ( rdn_pos @ ( rdnn @ n0 ) ) ).
thf(zip_derived_cl0,plain,
rdn_translate @ n0 @ ( rdn_pos @ ( rdnn @ n0 ) ),
inference(cnf,[status(esa)],[rdn0]) ).
thf(less_entry_point_pos_pos,axiom,
! [X: $i,Y: $i,RDN_X: $i,RDN_Y: $i] :
( ( ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
& ( rdn_positive_less @ RDN_X @ RDN_Y ) )
=> ( less @ X @ Y ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( less @ X0 @ X1 )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ X2 ) )
| ~ ( rdn_translate @ X1 @ ( rdn_pos @ X3 ) )
| ~ ( rdn_positive_less @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[less_entry_point_pos_pos]) ).
thf(zip_derived_cl583,plain,
! [X0: $i,X1: $i] :
( ~ ( rdn_positive_less @ ( rdnn @ n0 ) @ X0 )
| ~ ( rdn_translate @ X1 @ ( rdn_pos @ X0 ) )
| ( less @ n0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl23]) ).
thf(zip_derived_cl1463,plain,
! [X0: $i] :
( ( less @ n0 @ X0 )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl583]) ).
thf(exist_bigger_plus_one,conjecture,
? [X: $i,Y: $i] :
( ( less @ X @ Y )
& ( sum @ X @ n1 @ Y ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [X: $i,Y: $i] :
( ( less @ X @ Y )
& ( sum @ X @ n1 @ Y ) ),
inference('cnf.neg',[status(esa)],[exist_bigger_plus_one]) ).
thf(zip_derived_cl147,plain,
! [X0: $i,X1: $i] :
( ~ ( less @ X0 @ X1 )
| ~ ( sum @ X0 @ n1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(rdn_digit_add_n0_n1_n1_n0,axiom,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ).
thf(zip_derived_cl48,plain,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ),
inference(cnf,[status(esa)],[rdn_digit_add_n0_n1_n1_n0]) ).
thf(add_digit_digit_digit,axiom,
! [C: $i,D1: $i,D2: $i,RD: $i,ID: $i] :
( ( ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ n0 ) )
& ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ n0 ) ) )
=> ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ RD ) ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( rdn_add_with_carry @ ( rdnn @ X0 ) @ ( rdnn @ X1 ) @ ( rdnn @ X2 ) @ ( rdnn @ X3 ) )
| ~ ( rdn_digit_add @ ( rdnn @ X1 ) @ ( rdnn @ X2 ) @ ( rdnn @ X4 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_digit_add @ ( rdnn @ X4 ) @ ( rdnn @ X0 ) @ ( rdnn @ X3 ) @ ( rdnn @ n0 ) ) ),
inference(cnf,[status(esa)],[add_digit_digit_digit]) ).
thf(zip_derived_cl661,plain,
! [X0: $i,X1: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ X1 ) @ ( rdnn @ X0 ) @ ( rdnn @ n0 ) )
| ( rdn_add_with_carry @ ( rdnn @ X1 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) @ ( rdnn @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl42]) ).
thf(rdn_digit_add_n1_n0_n1_n0,axiom,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ).
thf(zip_derived_cl57,plain,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ),
inference(cnf,[status(esa)],[rdn_digit_add_n1_n0_n1_n0]) ).
thf(zip_derived_cl2435,plain,
rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ),
inference('sup+',[status(thm)],[zip_derived_cl661,zip_derived_cl57]) ).
thf(sum_entry_point_pos_pos,axiom,
! [X: $i,Y: $i,Z: $i,RDN_X: $i,RDN_Y: $i,RDN_Z: $i] :
( ( ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_X @ RDN_Y @ RDN_Z )
& ( rdn_translate @ Z @ ( rdn_pos @ RDN_Z ) ) )
=> ( sum @ X @ Y @ Z ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( sum @ X0 @ X1 @ X2 )
| ~ ( rdn_translate @ X1 @ ( rdn_pos @ X3 ) )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ X4 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X4 @ X3 @ X5 )
| ~ ( rdn_translate @ X2 @ ( rdn_pos @ X5 ) ) ),
inference(cnf,[status(esa)],[sum_entry_point_pos_pos]) ).
thf(zip_derived_cl11552,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n1 ) ) )
| ~ ( rdn_translate @ X1 @ ( rdn_pos @ ( rdnn @ n0 ) ) )
| ~ ( rdn_translate @ X2 @ ( rdn_pos @ ( rdnn @ n1 ) ) )
| ( sum @ X1 @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2435,zip_derived_cl33]) ).
thf(zip_derived_cl13012,plain,
! [X0: $i,X1: $i] :
( ~ ( less @ X1 @ X0 )
| ~ ( rdn_translate @ n1 @ ( rdn_pos @ ( rdnn @ n1 ) ) )
| ~ ( rdn_translate @ X1 @ ( rdn_pos @ ( rdnn @ n0 ) ) )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl147,zip_derived_cl11552]) ).
thf(rdn1,axiom,
rdn_translate @ n1 @ ( rdn_pos @ ( rdnn @ n1 ) ) ).
thf(zip_derived_cl1,plain,
rdn_translate @ n1 @ ( rdn_pos @ ( rdnn @ n1 ) ),
inference(cnf,[status(esa)],[rdn1]) ).
thf(zip_derived_cl13023,plain,
! [X0: $i,X1: $i] :
( ~ ( less @ X1 @ X0 )
| ~ ( rdn_translate @ X1 @ ( rdn_pos @ ( rdnn @ n0 ) ) )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13012,zip_derived_cl1]) ).
thf(zip_derived_cl13104,plain,
! [X0: $i] :
( ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n1 ) ) )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n1 ) ) )
| ~ ( rdn_translate @ n0 @ ( rdn_pos @ ( rdnn @ n0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1463,zip_derived_cl13023]) ).
thf(zip_derived_cl0_001,plain,
rdn_translate @ n0 @ ( rdn_pos @ ( rdnn @ n0 ) ),
inference(cnf,[status(esa)],[rdn0]) ).
thf(zip_derived_cl13159,plain,
! [X0: $i] :
( ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n1 ) ) )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13104,zip_derived_cl0]) ).
thf(zip_derived_cl13160,plain,
! [X0: $i] :
~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13159]) ).
thf(zip_derived_cl1_002,plain,
rdn_translate @ n1 @ ( rdn_pos @ ( rdnn @ n1 ) ),
inference(cnf,[status(esa)],[rdn1]) ).
thf(zip_derived_cl13216,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl13160,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : NUM344+1 : TPTP v9.2.0. Released v3.1.0.
% 0.04/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MgRHD8qWUm true
% 0.09/0.30 % Computer : n004.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 16:16:53 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.30 % Python version: Python 3.6.8
% 0.09/0.31 % Running in FO mode
% 0.42/0.58 % Total configuration time : 435
% 0.42/0.58 % Estimated wc time : 1092
% 0.42/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.42/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.42/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.42/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.42/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.43/0.94 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 12.07/2.64 % Solved by fo/fo3_bce.sh.
% 12.07/2.64 % BCE start: 148
% 12.07/2.64 % BCE eliminated: 5
% 12.07/2.64 % PE start: 143
% 12.07/2.64 logic: eq
% 12.07/2.64 % PE eliminated: 2
% 12.07/2.64 % done 2049 iterations in 1.913s
% 12.07/2.64 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.07/2.64 % SZS output start Refutation
% See solution above
% 12.07/2.64
% 12.07/2.64
% 12.07/2.64 % Terminating...
% 12.40/2.80 % Runner terminated.
% 12.44/2.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------