TSTP Solution File: NUM346+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM346+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.VLJ82XwXRI true
% Computer : n009.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 12:39:58 EDT 2023
% Result : Theorem 12.70s 2.55s
% Output : Refutation 12.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 26
% Syntax : Number of formulae : 53 ( 22 unt; 14 typ; 0 def)
% Number of atoms : 74 ( 4 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 352 ( 25 ~; 22 |; 7 &; 292 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 52 ( 0 ^; 52 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i ).
thf(rdnn_type,type,
rdnn: $i > $i ).
thf(rdn_pos_type,type,
rdn_pos: $i > $i ).
thf(n2_type,type,
n2: $i ).
thf(n5_type,type,
n5: $i ).
thf(n4_type,type,
n4: $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(n3_type,type,
n3: $i ).
thf(sum_type,type,
sum: $i > $i > $i > $o ).
thf(less_type,type,
less: $i > $i > $o ).
thf(rdn_positive_less45,axiom,
rdn_positive_less @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) ).
thf(zip_derived_cl14,plain,
rdn_positive_less @ ( rdnn @ n4 ) @ ( rdnn @ n5 ),
inference(cnf,[status(esa)],[rdn_positive_less45]) ).
thf(rdn4,axiom,
rdn_translate @ n4 @ ( rdn_pos @ ( rdnn @ n4 ) ) ).
thf(zip_derived_cl4,plain,
rdn_translate @ n4 @ ( rdn_pos @ ( rdnn @ n4 ) ),
inference(cnf,[status(esa)],[rdn4]) ).
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_cl171,plain,
! [X0: $i,X1: $i] :
( ~ ( rdn_positive_less @ ( rdnn @ n4 ) @ X0 )
| ~ ( rdn_translate @ X1 @ ( rdn_pos @ X0 ) )
| ( less @ n4 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl23]) ).
thf(zip_derived_cl219,plain,
! [X0: $i] :
( ( less @ n4 @ X0 )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n5 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl171]) ).
thf(sum_n2_n3_greater_n4,conjecture,
! [X: $i] :
( ( sum @ n2 @ n3 @ X )
=> ( less @ n4 @ X ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i] :
( ( sum @ n2 @ n3 @ X )
=> ( less @ n4 @ X ) ),
inference('cnf.neg',[status(esa)],[sum_n2_n3_greater_n4]) ).
thf(zip_derived_cl148,plain,
~ ( less @ n4 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl280,plain,
~ ( rdn_translate @ sk_ @ ( rdn_pos @ ( rdnn @ n5 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl148]) ).
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(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(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(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_cl2212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( rdn_translate @ X1 @ ( rdn_pos @ X0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X2 @ ( rdnn @ n3 ) @ X0 )
| ~ ( rdn_translate @ X3 @ ( rdn_pos @ X2 ) )
| ( sum @ X3 @ n3 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl33]) ).
thf(zip_derived_cl4639,plain,
! [X0: $i,X1: $i] :
( ( sum @ X0 @ n3 @ n5 )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ X1 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X1 @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2212]) ).
thf(zip_derived_cl4818,plain,
( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) )
| ( sum @ n2 @ n3 @ n5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4639]) ).
thf(rdn_digit_add_n5_n0_n5_n0,axiom,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) ).
thf(zip_derived_cl97,plain,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ),
inference(cnf,[status(esa)],[rdn_digit_add_n5_n0_n5_n0]) ).
thf(rdn_digit_add_n2_n3_n5_n0,axiom,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) ).
thf(zip_derived_cl70,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_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_cl12047,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_cl70,zip_derived_cl42]) ).
thf(zip_derived_cl16727,plain,
rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ),
inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl12047]) ).
thf(zip_derived_cl16749,plain,
sum @ n2 @ n3 @ n5,
inference(demod,[status(thm)],[zip_derived_cl4818,zip_derived_cl16727]) ).
thf(zip_derived_cl147,plain,
sum @ n2 @ n3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(unique_sum,axiom,
! [X: $i,Y: $i,Z1: $i,Z2: $i] :
( ( ( sum @ X @ Y @ Z1 )
& ( sum @ X @ Y @ Z2 ) )
=> ( Z1 = Z2 ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sum @ X0 @ X1 @ X2 )
| ~ ( sum @ X0 @ X1 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique_sum]) ).
thf(zip_derived_cl157,plain,
! [X0: $i] :
( ( sk_ = X0 )
| ~ ( sum @ n2 @ n3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl39]) ).
thf(zip_derived_cl16754,plain,
sk_ = n5,
inference('sup-',[status(thm)],[zip_derived_cl16749,zip_derived_cl157]) ).
thf(zip_derived_cl5_001,plain,
rdn_translate @ n5 @ ( rdn_pos @ ( rdnn @ n5 ) ),
inference(cnf,[status(esa)],[rdn5]) ).
thf(zip_derived_cl16761,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl280,zip_derived_cl16754,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM346+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VLJ82XwXRI true
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 17:38:06 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % 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
% 0.14/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.84 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 12.70/2.55 % Solved by fo/fo7.sh.
% 12.70/2.55 % done 4750 iterations in 1.752s
% 12.70/2.55 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 12.70/2.55 % SZS output start Refutation
% See solution above
% 12.70/2.55
% 12.70/2.55
% 12.70/2.55 % Terminating...
% 13.53/2.60 % Runner terminated.
% 13.53/2.62 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------