TSTP Solution File: NUM317+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM317+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.TrTja354wV 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 Aug 31 12:39:52 EDT 2023
% Result : Theorem 10.05s 2.10s
% Output : Refutation 10.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 26
% Syntax : Number of formulae : 52 ( 24 unt; 14 typ; 0 def)
% Number of atoms : 71 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 379 ( 27 ~; 24 |; 6 &; 319 @)
% ( 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 : 15 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 43 ( 0 ^; 43 !; 0 ?; 43 :)
% 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(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(nn2_type,type,
nn2: $i ).
thf(rdn_positive_less45,axiom,
rdn_positive_less @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) ).
thf(zip_derived_cl15,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_cl14,plain,
rdn_positive_less @ ( rdnn @ n3 ) @ ( rdnn @ n4 ),
inference(cnf,[status(esa)],[rdn_positive_less34]) ).
thf(rdn_positive_less23,axiom,
rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ).
thf(zip_derived_cl13,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_cl20,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_cl203,plain,
! [X0: $i] :
( ( rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ X0 ) )
| ~ ( rdn_positive_less @ ( rdnn @ n3 ) @ ( rdnn @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl20]) ).
thf(zip_derived_cl214,plain,
rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ n4 ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl203]) ).
thf(zip_derived_cl20_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_cl222,plain,
! [X0: $i] :
( ( rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ X0 ) )
| ~ ( rdn_positive_less @ ( rdnn @ n4 ) @ ( rdnn @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl214,zip_derived_cl20]) ).
thf(zip_derived_cl254,plain,
rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ n5 ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl222]) ).
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(rdnn2,axiom,
rdn_translate @ nn2 @ ( rdn_neg @ ( rdnn @ n2 ) ) ).
thf(zip_derived_cl10,plain,
rdn_translate @ nn2 @ ( rdn_neg @ ( rdnn @ n2 ) ),
inference(cnf,[status(esa)],[rdnn2]) ).
thf(sum_entry_point_pos_neg_2,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_Y @ RDN_X )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_Y @ RDN_Z @ RDN_X )
& ( rdn_translate @ Z @ ( rdn_pos @ 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 @ X3 ) )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ X4 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X3 @ X5 @ X4 )
| ~ ( rdn_translate @ X2 @ ( rdn_pos @ X5 ) ) ),
inference(cnf,[status(esa)],[sum_entry_point_pos_neg_2]) ).
thf(zip_derived_cl2370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( rdn_translate @ X1 @ ( rdn_pos @ X0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ X0 @ X2 )
| ~ ( rdn_translate @ X3 @ ( rdn_pos @ X2 ) )
| ~ ( rdn_positive_less @ ( rdnn @ n2 ) @ X2 )
| ( sum @ X3 @ nn2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl29]) ).
thf(zip_derived_cl2382,plain,
! [X0: $i,X1: $i] :
( ( sum @ X0 @ nn2 @ n3 )
| ~ ( rdn_positive_less @ ( rdnn @ n2 ) @ X1 )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ X1 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl2370]) ).
thf(zip_derived_cl2424,plain,
! [X0: $i] :
( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n5 ) ) )
| ( sum @ X0 @ nn2 @ n3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl2382]) ).
thf(rdn_digit_add_n5_n0_n5_n0,axiom,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) ).
thf(zip_derived_cl90,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_cl63,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_cl35,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_cl2509,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_cl63,zip_derived_cl35]) ).
thf(zip_derived_cl3052,plain,
rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ),
inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl2509]) ).
thf(zip_derived_cl3202,plain,
! [X0: $i] :
( ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n5 ) ) )
| ( sum @ X0 @ nn2 @ n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2424,zip_derived_cl3052]) ).
thf(sum_n5_nn2_n3,conjecture,
sum @ n5 @ nn2 @ n3 ).
thf(zf_stmt_0,negated_conjecture,
~ ( sum @ n5 @ nn2 @ n3 ),
inference('cnf.neg',[status(esa)],[sum_n5_nn2_n3]) ).
thf(zip_derived_cl140,plain,
~ ( sum @ n5 @ nn2 @ n3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3393,plain,
~ ( rdn_translate @ n5 @ ( rdn_pos @ ( rdnn @ n5 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3202,zip_derived_cl140]) ).
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_cl3415,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3393,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM317+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TrTja354wV true
% 0.14/0.35 % Computer : n004.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 12:32:23 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
% 0.14/0.36 % 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
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.33/0.84 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 10.05/2.10 % Solved by fo/fo7.sh.
% 10.05/2.10 % done 3024 iterations in 1.322s
% 10.05/2.10 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.05/2.10 % SZS output start Refutation
% See solution above
% 10.05/2.10
% 10.05/2.10
% 10.05/2.11 % Terminating...
% 10.63/2.17 % Runner terminated.
% 10.63/2.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------