TSTP Solution File: NUM316+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM316+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6mxbogr9iW true
% Computer : n023.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 12:39:52 EDT 2023
% Result : Theorem 19.17s 3.43s
% Output : Refutation 19.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 27
% Syntax : Number of formulae : 53 ( 23 unt; 15 typ; 0 def)
% Number of atoms : 74 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 400 ( 30 ~; 27 |; 6 &; 334 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 8 con; 0-4 aty)
% Number of variables : 44 ( 0 ^; 44 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(rdnn_type,type,
rdnn: $i > $i ).
thf(rdn_pos_type,type,
rdn_pos: $i > $i ).
thf(n2_type,type,
n2: $i ).
thf(rdn_neg_type,type,
rdn_neg: $i > $i ).
thf(n5_type,type,
n5: $i ).
thf(n4_type,type,
n4: $i ).
thf(nn3_type,type,
nn3: $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(nn5_type,type,
nn5: $i ).
thf(n3_type,type,
n3: $i ).
thf(sum_type,type,
sum: $i > $i > $i > $o ).
thf(rdn_positive_less23,axiom,
rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ).
thf(zip_derived_cl14,plain,
rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ n3 ),
inference(cnf,[status(esa)],[rdn_positive_less23]) ).
thf(rdn_positive_less_transitivity,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( rdn_positive_less @ ( rdnn @ X ) @ ( rdnn @ Y ) )
& ( rdn_positive_less @ ( rdnn @ Y ) @ ( rdnn @ Z ) ) )
=> ( rdn_positive_less @ ( rdnn @ X ) @ ( rdnn @ Z ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rdn_positive_less @ ( rdnn @ X0 ) @ ( rdnn @ X1 ) )
| ~ ( rdn_positive_less @ ( rdnn @ X1 ) @ ( rdnn @ X2 ) )
| ( rdn_positive_less @ ( rdnn @ X0 ) @ ( rdnn @ X2 ) ) ),
inference(cnf,[status(esa)],[rdn_positive_less_transitivity]) ).
thf(zip_derived_cl226,plain,
! [X0: $i] :
( ( rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ X0 ) )
| ~ ( rdn_positive_less @ ( rdnn @ n3 ) @ ( rdnn @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl21]) ).
thf(rdnn3,axiom,
rdn_translate @ nn3 @ ( rdn_neg @ ( rdnn @ n3 ) ) ).
thf(zip_derived_cl10,plain,
rdn_translate @ nn3 @ ( rdn_neg @ ( rdnn @ n3 ) ),
inference(cnf,[status(esa)],[rdnn3]) ).
thf(rdnn5,axiom,
rdn_translate @ nn5 @ ( rdn_neg @ ( rdnn @ n5 ) ) ).
thf(zip_derived_cl11,plain,
rdn_translate @ nn5 @ ( rdn_neg @ ( rdnn @ n5 ) ),
inference(cnf,[status(esa)],[rdnn5]) ).
thf(sum_entry_point_pos_neg_1,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_neg @ RDN_Y ) )
& ( rdn_positive_less @ RDN_X @ RDN_Y )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_X @ RDN_Z @ RDN_Y )
& ( rdn_translate @ Z @ ( rdn_neg @ RDN_Z ) ) )
=> ( sum @ X @ Y @ Z ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( sum @ X0 @ X1 @ X2 )
| ~ ( rdn_positive_less @ X3 @ X4 )
| ~ ( rdn_translate @ X1 @ ( rdn_neg @ X4 ) )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ X3 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X3 @ X5 @ X4 )
| ~ ( rdn_translate @ X2 @ ( rdn_neg @ X5 ) ) ),
inference(cnf,[status(esa)],[sum_entry_point_pos_neg_1]) ).
thf(zip_derived_cl2715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( rdn_translate @ X1 @ ( rdn_neg @ X0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X2 @ X0 @ ( rdnn @ n5 ) )
| ~ ( rdn_translate @ X3 @ ( rdn_pos @ X2 ) )
| ~ ( rdn_positive_less @ X2 @ ( rdnn @ n5 ) )
| ( sum @ X3 @ nn5 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl29]) ).
thf(zip_derived_cl2754,plain,
! [X0: $i,X1: $i] :
( ( sum @ X0 @ nn5 @ nn3 )
| ~ ( rdn_positive_less @ X1 @ ( rdnn @ n5 ) )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ X1 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X1 @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl2715]) ).
thf(zip_derived_cl2758,plain,
! [X0: $i] :
( ~ ( rdn_positive_less @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n2 ) ) )
| ( sum @ X0 @ nn5 @ nn3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl226,zip_derived_cl2754]) ).
thf(rdn_positive_less45,axiom,
rdn_positive_less @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) ).
thf(zip_derived_cl16,plain,
rdn_positive_less @ ( rdnn @ n4 ) @ ( rdnn @ n5 ),
inference(cnf,[status(esa)],[rdn_positive_less45]) ).
thf(rdn_positive_less34,axiom,
rdn_positive_less @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) ).
thf(zip_derived_cl15,plain,
rdn_positive_less @ ( rdnn @ n3 ) @ ( rdnn @ n4 ),
inference(cnf,[status(esa)],[rdn_positive_less34]) ).
thf(zip_derived_cl21_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rdn_positive_less @ ( rdnn @ X0 ) @ ( rdnn @ X1 ) )
| ~ ( rdn_positive_less @ ( rdnn @ X1 ) @ ( rdnn @ X2 ) )
| ( rdn_positive_less @ ( rdnn @ X0 ) @ ( rdnn @ X2 ) ) ),
inference(cnf,[status(esa)],[rdn_positive_less_transitivity]) ).
thf(zip_derived_cl227,plain,
! [X0: $i] :
( ( rdn_positive_less @ ( rdnn @ n3 ) @ ( rdnn @ X0 ) )
| ~ ( rdn_positive_less @ ( rdnn @ n4 ) @ ( rdnn @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl21]) ).
thf(zip_derived_cl247,plain,
rdn_positive_less @ ( rdnn @ n3 ) @ ( rdnn @ n5 ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl227]) ).
thf(zip_derived_cl2767,plain,
! [X0: $i] :
( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n2 ) ) )
| ( sum @ X0 @ nn5 @ nn3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2758,zip_derived_cl247]) ).
thf(rdn_digit_add_n5_n0_n5_n0,axiom,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) ).
thf(zip_derived_cl91,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_cl64,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_cl36,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_cl2977,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_cl64,zip_derived_cl36]) ).
thf(zip_derived_cl3661,plain,
rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ),
inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl2977]) ).
thf(zip_derived_cl3782,plain,
! [X0: $i] :
( ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n2 ) ) )
| ( sum @ X0 @ nn5 @ nn3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2767,zip_derived_cl3661]) ).
thf(sum_n2_nn5_nn3,conjecture,
sum @ n2 @ nn5 @ nn3 ).
thf(zf_stmt_0,negated_conjecture,
~ ( sum @ n2 @ nn5 @ nn3 ),
inference('cnf.neg',[status(esa)],[sum_n2_nn5_nn3]) ).
thf(zip_derived_cl141,plain,
~ ( sum @ n2 @ nn5 @ nn3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3817,plain,
~ ( rdn_translate @ n2 @ ( rdn_pos @ ( rdnn @ n2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3782,zip_derived_cl141]) ).
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(zip_derived_cl3859,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3817,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM316+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6mxbogr9iW true
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Aug 25 14:51:42 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.48/0.59 % Total configuration time : 435
% 0.48/0.59 % Estimated wc time : 1092
% 0.48/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 19.17/3.43 % Solved by fo/fo7.sh.
% 19.17/3.43 % done 3447 iterations in 2.700s
% 19.17/3.43 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 19.17/3.43 % SZS output start Refutation
% See solution above
% 19.17/3.43
% 19.17/3.43
% 19.17/3.43 % Terminating...
% 19.85/3.52 % Runner terminated.
% 19.85/3.53 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------