%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM329+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mrZ3J8qxf5 true
% Computer : n014.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 04:46:10 PM UTC 2025
% Result : Theorem 2.34s 1.44s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 212 ( 16 ~; 12 |; 4 &; 178 @)
% ( 0 <=>; 2 =>; 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 : 8 ( 7 usr; 2 con; 0-4 aty)
% Number of variables : 32 ( 0 ^; 30 !; 2 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
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_add_with_carry_type,type,
rdn_add_with_carry: $i > $i > $i > $i > $o ).
thf(sum_type,type,
sum: $i > $i > $i > $o ).
thf(idempotent_element,conjecture,
? [X: $i] : ( sum @ X @ X @ X ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [X: $i] : ( sum @ X @ X @ X ),
inference('cnf.neg',[status(esa)],[idempotent_element]) ).
thf(zip_derived_cl103,plain,
! [X0: $i] :
~ ( sum @ X0 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(rdn_digit_add_n0_n0_n0_n0,axiom,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) ).
thf(zip_derived_cl39,plain,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ),
inference(cnf,[status(esa)],[rdn_digit_add_n0_n0_n0_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_cl34,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_cl454,plain,
! [X0: $i,X1: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ X1 ) @ ( rdnn @ X0 ) @ ( rdnn @ n0 ) )
| ( rdn_add_with_carry @ ( rdnn @ X1 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl34]) ).
thf(zip_derived_cl39_001,plain,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ),
inference(cnf,[status(esa)],[rdn_digit_add_n0_n0_n0_n0]) ).
thf(zip_derived_cl953,plain,
rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ),
inference('sup+',[status(thm)],[zip_derived_cl454,zip_derived_cl39]) ).
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_cl25,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_cl1341,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n0 ) ) )
| ~ ( rdn_translate @ X1 @ ( rdn_pos @ ( rdnn @ n0 ) ) )
| ~ ( rdn_translate @ X2 @ ( rdn_pos @ ( rdnn @ n0 ) ) )
| ( sum @ X1 @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl953,zip_derived_cl25]) ).
thf(zip_derived_cl1535,plain,
! [X0: $i] :
( ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n0 ) ) )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n0 ) ) )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl103,zip_derived_cl1341]) ).
thf(zip_derived_cl1556,plain,
! [X0: $i] :
~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1535]) ).
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(zip_derived_cl1580,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl1556,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.22 % Problem : NUM329+1 : TPTP v9.2.0. Released v3.1.0.
% 0.10/0.25 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mrZ3J8qxf5 true
% 0.11/0.47 % Computer : n014.cluster.edu
% 0.11/0.47 % Model : x86_64 x86_64
% 0.11/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.47 % Memory : 8042.1875MB
% 0.11/0.47 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.47 % CPULimit : 300
% 0.11/0.47 % WCLimit : 300
% 0.11/0.47 % DateTime : Wed Oct 1 16:50:38 EDT 2025
% 0.18/0.48 % CPUTime :
% 0.18/0.48 % Running portfolio for 300 s
% 0.18/0.48 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % Number of cores: 8
% 0.18/0.48 % Python version: Python 3.6.8
% 0.18/0.48 % Running in FO mode
% 0.27/0.75 % Total configuration time : 435
% 0.27/0.75 % Estimated wc time : 1092
% 0.27/0.75 % Estimated cpu time (7 cpus) : 156.0
% 0.29/0.92 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.29/0.93 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.29/0.94 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.29/0.94 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.29/0.94 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.29/0.95 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.29/0.95 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.28/1.12 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 2.34/1.44 % Solved by fo/fo3_bce.sh.
% 2.34/1.44 % BCE start: 104
% 2.34/1.44 % BCE eliminated: 6
% 2.34/1.44 % PE start: 98
% 2.34/1.44 logic: eq
% 2.34/1.44 % PE eliminated: 0
% 2.34/1.44 % done 659 iterations in 0.436s
% 2.34/1.44 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.34/1.44 % SZS output start Refutation
% See solution above
% 2.34/1.44
% 2.34/1.44
% 2.34/1.44 % Terminating...
% 2.49/1.58 % Runner terminated.
% 2.49/1.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------