TSTP Solution File: NUM312+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM312+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1CTGXrhMKz true
% Computer : n019.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 Aug 31 12:39:51 EDT 2023
% Result : Theorem 0.58s 1.40s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of formulae : 39 ( 15 unt; 11 typ; 0 def)
% Number of atoms : 55 ( 9 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 263 ( 19 ~; 17 |; 5 &; 217 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 40 ( 0 ^; 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(rdnn_type,type,
rdnn: $i > $i ).
thf(rdn_pos_type,type,
rdn_pos: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(n2_type,type,
n2: $i ).
thf(n5_type,type,
n5: $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(n3_type,type,
n3: $i ).
thf(sum_type,type,
sum: $i > $i > $i > $o ).
thf(rdn2,axiom,
rdn_translate @ n2 @ ( rdn_pos @ ( rdnn @ n2 ) ) ).
thf(zip_derived_cl2,plain,
rdn_translate @ n2 @ ( rdn_pos @ ( rdnn @ n2 ) ),
inference(cnf,[status(esa)],[rdn2]) ).
thf(sum_only_n2_n3_n5,conjecture,
! [X: $i] :
( ( sum @ X @ n3 @ n5 )
=> ( X = n2 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i] :
( ( sum @ X @ n3 @ n5 )
=> ( X = n2 ) ),
inference('cnf.neg',[status(esa)],[sum_only_n2_n3_n5]) ).
thf(zip_derived_cl139,plain,
sum @ sk_ @ n3 @ n5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(unique_LHS,axiom,
! [X1: $i,X2: $i,Y: $i,Z: $i] :
( ( ( sum @ X1 @ Y @ Z )
& ( sum @ X2 @ Y @ Z ) )
=> ( X1 = X2 ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( sum @ X1 @ X2 @ X3 )
| ~ ( sum @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[unique_LHS]) ).
thf(zip_derived_cl483,plain,
! [X0: $i] :
( ~ ( sum @ X0 @ n3 @ n5 )
| ( sk_ = X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl32]) ).
thf(rdn_digit_add_n2_n3_n5_n0,axiom,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) ).
thf(zip_derived_cl62,plain,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ),
inference(cnf,[status(esa)],[rdn_digit_add_n2_n3_n5_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_cl560,plain,
! [X0: $i,X1: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ X1 ) @ ( rdnn @ X0 ) @ ( rdnn @ n0 ) )
| ( rdn_add_with_carry @ ( rdnn @ X1 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl34]) ).
thf(rdn_digit_add_n5_n0_n5_n0,axiom,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) ).
thf(zip_derived_cl89,plain,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ),
inference(cnf,[status(esa)],[rdn_digit_add_n5_n0_n5_n0]) ).
thf(zip_derived_cl1133,plain,
rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ),
inference('sup+',[status(thm)],[zip_derived_cl560,zip_derived_cl89]) ).
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_cl1143,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n5 ) ) )
| ~ ( rdn_translate @ X1 @ ( rdn_pos @ ( rdnn @ n2 ) ) )
| ~ ( rdn_translate @ X2 @ ( rdn_pos @ ( rdnn @ n3 ) ) )
| ( sum @ X1 @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1133,zip_derived_cl25]) ).
thf(zip_derived_cl2099,plain,
! [X0: $i] :
( ( sk_ = X0 )
| ~ ( rdn_translate @ n3 @ ( rdn_pos @ ( rdnn @ n3 ) ) )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n2 ) ) )
| ~ ( rdn_translate @ n5 @ ( rdn_pos @ ( rdnn @ n5 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl483,zip_derived_cl1143]) ).
thf(rdn3,axiom,
rdn_translate @ n3 @ ( rdn_pos @ ( rdnn @ n3 ) ) ).
thf(zip_derived_cl3,plain,
rdn_translate @ n3 @ ( rdn_pos @ ( rdnn @ n3 ) ),
inference(cnf,[status(esa)],[rdn3]) ).
thf(rdn5,axiom,
rdn_translate @ n5 @ ( rdn_pos @ ( rdnn @ n5 ) ) ).
thf(zip_derived_cl5,plain,
rdn_translate @ n5 @ ( rdn_pos @ ( rdnn @ n5 ) ),
inference(cnf,[status(esa)],[rdn5]) ).
thf(zip_derived_cl2112,plain,
! [X0: $i] :
( ( sk_ = X0 )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2099,zip_derived_cl3,zip_derived_cl5]) ).
thf(zip_derived_cl2121,plain,
sk_ = n2,
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl2112]) ).
thf(zip_derived_cl140,plain,
sk_ != n2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2122,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2121,zip_derived_cl140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM312+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1CTGXrhMKz true
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 08:41:13 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.92 % Total configuration time : 435
% 0.56/0.92 % Estimated wc time : 1092
% 0.56/0.92 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.99 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/1.04 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/1.05 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/1.05 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/1.06 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/1.06 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/1.06 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/1.13 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.58/1.40 % Solved by fo/fo3_bce.sh.
% 0.58/1.40 % BCE start: 141
% 0.58/1.40 % BCE eliminated: 6
% 0.58/1.40 % PE start: 135
% 0.58/1.40 logic: eq
% 0.58/1.40 % PE eliminated: 0
% 0.58/1.40 % done 734 iterations in 0.322s
% 0.58/1.40 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/1.40 % SZS output start Refutation
% See solution above
% 0.58/1.40
% 0.58/1.40
% 0.58/1.40 % Terminating...
% 0.58/1.51 % Runner terminated.
% 0.58/1.52 % Zipperpin 1.5 exiting
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