TSTP Solution File: NUM315+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM315+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.L0MGdwQryy 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 12:39:52 EDT 2023
% Result : Theorem 13.22s 2.65s
% Output : Refutation 13.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 21
% Syntax : Number of formulae : 37 ( 16 unt; 13 typ; 0 def)
% Number of atoms : 43 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 253 ( 16 ~; 13 |; 4 &; 218 @)
% ( 0 <=>; 2 =>; 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 : 14 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 30 ( 0 ^; 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(rdnn_type,type,
rdnn: $i > $i ).
thf(n2_type,type,
n2: $i ).
thf(rdn_neg_type,type,
rdn_neg: $i > $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(nn5_type,type,
nn5: $i ).
thf(n7_type,type,
n7: $i ).
thf(nn7_type,type,
nn7: $i ).
thf(sum_type,type,
sum: $i > $i > $i > $o ).
thf(nn2_type,type,
nn2: $i ).
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(rdnn7,axiom,
rdn_translate @ nn7 @ ( rdn_neg @ ( rdnn @ n7 ) ) ).
thf(zip_derived_cl12,plain,
rdn_translate @ nn7 @ ( rdn_neg @ ( rdnn @ n7 ) ),
inference(cnf,[status(esa)],[rdnn7]) ).
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_neg_neg,axiom,
! [X: $i,Y: $i,Z: $i,RDN_X: $i,RDN_Y: $i,RDN_Z: $i] :
( ( ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_neg @ RDN_Y ) )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_X @ RDN_Y @ RDN_Z )
& ( 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_translate @ X1 @ ( rdn_neg @ X3 ) )
| ~ ( rdn_translate @ X0 @ ( rdn_neg @ X4 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X4 @ X3 @ X5 )
| ~ ( rdn_translate @ X2 @ ( rdn_neg @ X5 ) ) ),
inference(cnf,[status(esa)],[sum_entry_point_neg_neg]) ).
thf(zip_derived_cl2923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( rdn_translate @ X1 @ ( rdn_neg @ X0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X2 @ ( rdnn @ n5 ) @ X0 )
| ~ ( rdn_translate @ X3 @ ( rdn_neg @ X2 ) )
| ( sum @ X3 @ nn5 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl29]) ).
thf(zip_derived_cl2971,plain,
! [X0: $i,X1: $i] :
( ( sum @ X0 @ nn5 @ nn7 )
| ~ ( rdn_translate @ X0 @ ( rdn_neg @ X1 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X1 @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl2923]) ).
thf(zip_derived_cl2979,plain,
( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) )
| ( sum @ nn2 @ nn5 @ nn7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl2971]) ).
thf(sum_nn2_nn5_nn7,conjecture,
sum @ nn2 @ nn5 @ nn7 ).
thf(zf_stmt_0,negated_conjecture,
~ ( sum @ nn2 @ nn5 @ nn7 ),
inference('cnf.neg',[status(esa)],[sum_nn2_nn5_nn7]) ).
thf(zip_derived_cl134,plain,
~ ( sum @ nn2 @ nn5 @ nn7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2995,plain,
~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) ),
inference(clc,[status(thm)],[zip_derived_cl2979,zip_derived_cl134]) ).
thf(rdn_digit_add_n7_n0_n7_n0,axiom,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) ).
thf(zip_derived_cl109,plain,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
inference(cnf,[status(esa)],[rdn_digit_add_n7_n0_n7_n0]) ).
thf(rdn_digit_add_n2_n5_n7_n0,axiom,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) ).
thf(zip_derived_cl67,plain,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
inference(cnf,[status(esa)],[rdn_digit_add_n2_n5_n7_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_cl37,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_cl3293,plain,
! [X0: $i,X1: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ X1 ) @ ( rdnn @ X0 ) @ ( rdnn @ n0 ) )
| ( rdn_add_with_carry @ ( rdnn @ X1 ) @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) @ ( rdnn @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl37]) ).
thf(zip_derived_cl4189,plain,
rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) @ ( rdnn @ n7 ),
inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl3293]) ).
thf(zip_derived_cl4393,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2995,zip_derived_cl4189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : NUM315+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.L0MGdwQryy true
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 12:11:36 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.57/0.64 % Total configuration time : 435
% 0.57/0.64 % Estimated wc time : 1092
% 0.57/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 13.22/2.65 % Solved by fo/fo7.sh.
% 13.22/2.65 % done 3987 iterations in 1.841s
% 13.22/2.65 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.22/2.65 % SZS output start Refutation
% See solution above
% 13.22/2.65
% 13.22/2.65
% 13.22/2.65 % Terminating...
% 14.26/2.77 % Runner terminated.
% 14.26/2.78 % Zipperpin 1.5 exiting
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