TSTP Solution File: NUM314+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM314+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 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 : Sun May 5 08:09:17 EDT 2024
% Result : Theorem 0.66s 0.75s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 18
% Syntax : Number of formulae : 76 ( 28 unt; 0 def)
% Number of atoms : 226 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 297 ( 147 ~; 121 |; 18 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 240 ( 238 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f917,plain,
$false,
inference(subsumption_resolution,[],[f602,f916]) ).
fof(f916,plain,
! [X0] : ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))))),
inference(subsumption_resolution,[],[f915,f731]) ).
fof(f731,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(cnf_transformation,[],[f257]) ).
fof(f257,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',rdn_digit1) ).
fof(f915,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1)))))
| ~ rdn_non_zero_digit(rdnn(n1)) ),
inference(resolution,[],[f912,f753]) ).
fof(f753,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(cnf_transformation,[],[f432]) ).
fof(f432,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f279]) ).
fof(f279,axiom,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',rdn_non_zero_by_digit) ).
fof(f912,plain,
! [X0] :
( ~ rdn_non_zero(rdnn(n1))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))))) ),
inference(resolution,[],[f910,f789]) ).
fof(f789,plain,
rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0)),
inference(cnf_transformation,[],[f312]) ).
fof(f312,axiom,
rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',rdn_digit_add_n1_n0_n1_n0) ).
fof(f910,plain,
! [X0,X1] :
( ~ rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(X0),rdnn(n0))
| ~ rdn_non_zero(rdnn(X0))
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(X0))))) ),
inference(resolution,[],[f908,f780]) ).
fof(f780,plain,
rdn_digit_add(rdnn(n0),rdnn(n1),rdnn(n1),rdnn(n0)),
inference(cnf_transformation,[],[f303]) ).
fof(f303,axiom,
rdn_digit_add(rdnn(n0),rdnn(n1),rdnn(n1),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',rdn_digit_add_n0_n1_n1_n0) ).
fof(f908,plain,
! [X2,X0,X1] :
( ~ rdn_digit_add(rdnn(n0),rdnn(n1),rdnn(X2),rdnn(n0))
| ~ rdn_non_zero(rdnn(X1))
| ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X1),rdnn(n0))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(X1))))) ),
inference(resolution,[],[f907,f774]) ).
fof(f774,plain,
! [X2,X3,X0,X1,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) ),
inference(cnf_transformation,[],[f463]) ).
fof(f463,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) ),
inference(flattening,[],[f462]) ).
fof(f462,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) ),
inference(ennf_transformation,[],[f420]) ).
fof(f420,plain,
! [X0,X1,X2,X3,X4] :
( ( rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
& rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
inference(rectify,[],[f297]) ).
fof(f297,axiom,
! [X20,X21,X22,X23,X24] :
( ( rdn_digit_add(rdnn(X24),rdnn(X20),rdnn(X23),rdnn(n0))
& rdn_digit_add(rdnn(X21),rdnn(X22),rdnn(X24),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X20),rdnn(X21),rdnn(X22),rdnn(X23)) ),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',add_digit_digit_digit) ).
fof(f907,plain,
! [X0,X1] :
( ~ rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n1),X0)
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),X0))))
| ~ rdn_non_zero(X0) ),
inference(resolution,[],[f906,f779]) ).
fof(f779,plain,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
inference(cnf_transformation,[],[f302]) ).
fof(f302,axiom,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',rdn_digit_add_n0_n0_n0_n0) ).
fof(f906,plain,
! [X2,X0,X1] :
( ~ rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(X0),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X0),rdnn(n0),rdnn(n1),X1)
| ~ rdn_translate(X2,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),X1))))
| ~ rdn_non_zero(X1) ),
inference(resolution,[],[f905,f799]) ).
fof(f799,plain,
rdn_digit_add(rdnn(n2),rdnn(n0),rdnn(n2),rdnn(n0)),
inference(cnf_transformation,[],[f322]) ).
fof(f322,axiom,
rdn_digit_add(rdnn(n2),rdnn(n0),rdnn(n2),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',rdn_digit_add_n2_n0_n2_n0) ).
fof(f905,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(n2),rdnn(n0),rdnn(X1),rdnn(X4))
| ~ rdn_add_with_carry(rdnn(X3),rdnn(n0),rdnn(n1),X2)
| ~ rdn_digit_add(rdnn(n0),rdnn(X4),rdnn(X3),rdnn(n0))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdn(rdnn(X1),X2))))
| ~ rdn_non_zero(X2) ),
inference(resolution,[],[f904,f781]) ).
fof(f781,plain,
rdn_digit_add(rdnn(n0),rdnn(n2),rdnn(n2),rdnn(n0)),
inference(cnf_transformation,[],[f304]) ).
fof(f304,axiom,
rdn_digit_add(rdnn(n0),rdnn(n2),rdnn(n2),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',rdn_digit_add_n0_n2_n2_n0) ).
fof(f904,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_digit_add(rdnn(n0),rdnn(n2),rdnn(X6),rdnn(X4))
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n7),rdn(rdnn(X2),X0))))
| ~ rdn_add_with_carry(rdnn(X3),rdnn(n0),rdnn(n1),X0)
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X6),rdnn(n0),rdnn(X2),rdnn(X5))
| ~ rdn_non_zero(X0) ),
inference(subsumption_resolution,[],[f903,f731]) ).
fof(f903,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_non_zero(X0)
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n7),rdn(rdnn(X2),X0))))
| ~ rdn_add_with_carry(rdnn(X3),rdnn(n0),rdnn(n1),X0)
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X6),rdnn(n0),rdnn(X2),rdnn(X5))
| ~ rdn_digit_add(rdnn(n0),rdnn(n2),rdnn(X6),rdnn(X4))
| ~ rdn_non_zero_digit(rdnn(n1)) ),
inference(resolution,[],[f902,f753]) ).
fof(f902,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_non_zero(rdnn(n1))
| ~ rdn_non_zero(X2)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdn(rdnn(X1),X2))))
| ~ rdn_add_with_carry(rdnn(X3),rdnn(n0),rdnn(n1),X2)
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X6),rdnn(n0),rdnn(X1),rdnn(X5))
| ~ rdn_digit_add(rdnn(n0),rdnn(n2),rdnn(X6),rdnn(X4)) ),
inference(subsumption_resolution,[],[f901,f754]) ).
fof(f754,plain,
! [X0,X1] :
( rdn_non_zero(rdn(rdnn(X0),X1))
| ~ rdn_non_zero(X1) ),
inference(cnf_transformation,[],[f433]) ).
fof(f433,plain,
! [X0,X1] :
( rdn_non_zero(rdn(rdnn(X0),X1))
| ~ rdn_non_zero(X1) ),
inference(ennf_transformation,[],[f407]) ).
fof(f407,plain,
! [X0,X1] :
( rdn_non_zero(X1)
=> rdn_non_zero(rdn(rdnn(X0),X1)) ),
inference(rectify,[],[f280]) ).
fof(f280,axiom,
! [X8,X7] :
( rdn_non_zero(X7)
=> rdn_non_zero(rdn(rdnn(X8),X7)) ),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',rdn_non_zero_by_structure) ).
fof(f901,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdn(rdnn(X1),X2))))
| ~ rdn_non_zero(rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2)
| ~ rdn_non_zero(rdnn(n1))
| ~ rdn_add_with_carry(rdnn(X3),rdnn(n0),rdnn(n1),X2)
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X6),rdnn(n0),rdnn(X1),rdnn(X5))
| ~ rdn_digit_add(rdnn(n0),rdnn(n2),rdnn(X6),rdnn(X4)) ),
inference(resolution,[],[f900,f776]) ).
fof(f776,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdn(rdnn(X2),X3),rdn(rdnn(X4),X5))
| ~ rdn_non_zero(X5)
| ~ rdn_non_zero(X3)
| ~ rdn_add_with_carry(rdnn(X9),rdnn(n0),X3,X5)
| ~ rdn_digit_add(rdnn(X7),rdnn(X8),rdnn(X9),rdnn(n0))
| ~ rdn_digit_add(rdnn(X6),rdnn(X0),rdnn(X4),rdnn(X8))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X6),rdnn(X7)) ),
inference(cnf_transformation,[],[f467]) ).
fof(f467,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdn(rdnn(X2),X3),rdn(rdnn(X4),X5))
| ~ rdn_non_zero(X5)
| ~ rdn_non_zero(X3)
| ~ rdn_add_with_carry(rdnn(X9),rdnn(n0),X3,X5)
| ~ rdn_digit_add(rdnn(X7),rdnn(X8),rdnn(X9),rdnn(n0))
| ~ rdn_digit_add(rdnn(X6),rdnn(X0),rdnn(X4),rdnn(X8))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X6),rdnn(X7)) ),
inference(flattening,[],[f466]) ).
fof(f466,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdn(rdnn(X2),X3),rdn(rdnn(X4),X5))
| ~ rdn_non_zero(X5)
| ~ rdn_non_zero(X3)
| ~ rdn_add_with_carry(rdnn(X9),rdnn(n0),X3,X5)
| ~ rdn_digit_add(rdnn(X7),rdnn(X8),rdnn(X9),rdnn(n0))
| ~ rdn_digit_add(rdnn(X6),rdnn(X0),rdnn(X4),rdnn(X8))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X6),rdnn(X7)) ),
inference(ennf_transformation,[],[f422]) ).
fof(f422,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( rdn_non_zero(X5)
& rdn_non_zero(X3)
& rdn_add_with_carry(rdnn(X9),rdnn(n0),X3,X5)
& rdn_digit_add(rdnn(X7),rdnn(X8),rdnn(X9),rdnn(n0))
& rdn_digit_add(rdnn(X6),rdnn(X0),rdnn(X4),rdnn(X8))
& rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X6),rdnn(X7)) )
=> rdn_add_with_carry(rdnn(X0),rdnn(X1),rdn(rdnn(X2),X3),rdn(rdnn(X4),X5)) ),
inference(rectify,[],[f299]) ).
fof(f299,axiom,
! [X20,X21,X22,X27,X23,X28,X24,X25,X26,X29] :
( ( rdn_non_zero(X28)
& rdn_non_zero(X27)
& rdn_add_with_carry(rdnn(X29),rdnn(n0),X27,X28)
& rdn_digit_add(rdnn(X25),rdnn(X26),rdnn(X29),rdnn(n0))
& rdn_digit_add(rdnn(X24),rdnn(X20),rdnn(X23),rdnn(X26))
& rdn_digit_add(rdnn(X21),rdnn(X22),rdnn(X24),rdnn(X25)) )
=> rdn_add_with_carry(rdnn(X20),rdnn(X21),rdn(rdnn(X22),X27),rdn(rdnn(X23),X28)) ),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',add_digit_rdn_rdn) ).
fof(f900,plain,
! [X0,X1] :
( ~ rdn_add_with_carry(rdnn(n0),rdnn(n0),rdn(rdnn(n2),rdnn(n1)),X0)
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n7),X0)))
| ~ rdn_non_zero(X0) ),
inference(resolution,[],[f899,f779]) ).
fof(f899,plain,
! [X2,X0,X1] :
( ~ rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(X0),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X0),rdnn(n0),rdn(rdnn(n2),rdnn(n1)),X1)
| ~ rdn_translate(X2,rdn_pos(rdn(rdnn(n7),X1)))
| ~ rdn_non_zero(X1) ),
inference(resolution,[],[f898,f849]) ).
fof(f849,plain,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f372]) ).
fof(f372,axiom,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',rdn_digit_add_n7_n0_n7_n0) ).
fof(f898,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(X3),rdnn(X2))
| ~ rdn_digit_add(rdnn(n0),rdnn(X2),rdnn(X0),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X0),rdnn(n0),rdn(rdnn(n2),rdnn(n1)),X1)
| ~ rdn_translate(X4,rdn_pos(rdn(rdnn(X3),X1)))
| ~ rdn_non_zero(X1) ),
inference(resolution,[],[f897,f795]) ).
fof(f795,plain,
rdn_digit_add(rdnn(n1),rdnn(n6),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f318]) ).
fof(f318,axiom,
rdn_digit_add(rdnn(n1),rdnn(n6),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',rdn_digit_add_n1_n6_n7_n0) ).
fof(f897,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_digit_add(rdnn(n1),rdnn(n6),rdnn(X6),rdnn(X4))
| ~ rdn_add_with_carry(rdnn(X3),rdnn(n0),rdn(rdnn(n2),rdnn(n1)),X2)
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X6),rdnn(n0),rdnn(X1),rdnn(X5))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| ~ rdn_non_zero(X2) ),
inference(subsumption_resolution,[],[f896,f731]) ).
fof(f896,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| ~ rdn_add_with_carry(rdnn(X3),rdnn(n0),rdn(rdnn(n2),rdnn(n1)),X2)
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X6),rdnn(n0),rdnn(X1),rdnn(X5))
| ~ rdn_digit_add(rdnn(n1),rdnn(n6),rdnn(X6),rdnn(X4))
| ~ rdn_non_zero(X2)
| ~ rdn_non_zero_digit(rdnn(n1)) ),
inference(resolution,[],[f895,f753]) ).
fof(f895,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_non_zero(rdnn(n1))
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X2),X0)))
| ~ rdn_add_with_carry(rdnn(X3),rdnn(n0),rdn(rdnn(n2),rdnn(n1)),X0)
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X6),rdnn(n0),rdnn(X2),rdnn(X5))
| ~ rdn_digit_add(rdnn(n1),rdnn(n6),rdnn(X6),rdnn(X4))
| ~ rdn_non_zero(X0) ),
inference(resolution,[],[f894,f754]) ).
fof(f894,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_non_zero(rdn(rdnn(n2),rdnn(n1)))
| ~ rdn_non_zero(X2)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| ~ rdn_add_with_carry(rdnn(X3),rdnn(n0),rdn(rdnn(n2),rdnn(n1)),X2)
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X6),rdnn(n0),rdnn(X1),rdnn(X5))
| ~ rdn_digit_add(rdnn(n1),rdnn(n6),rdnn(X6),rdnn(X4)) ),
inference(resolution,[],[f893,f776]) ).
fof(f893,plain,
! [X2,X0,X1] :
( ~ rdn_add_with_carry(rdnn(n0),rdnn(n1),rdn(rdnn(n6),rdn(rdnn(n2),rdnn(n1))),rdn(rdnn(X1),X2))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2))) ),
inference(resolution,[],[f892,f778]) ).
fof(f778,plain,
! [X2,X3,X0,X1,X4,X5] :
( rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdnn(X3),rdn(rdnn(X4),X5))
| ~ rdn_add_with_carry(rdnn(X0),rdnn(X3),rdn(rdnn(X1),X2),rdn(rdnn(X4),X5)) ),
inference(cnf_transformation,[],[f470]) ).
fof(f470,plain,
! [X0,X1,X2,X3,X4,X5] :
( rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdnn(X3),rdn(rdnn(X4),X5))
| ~ rdn_add_with_carry(rdnn(X0),rdnn(X3),rdn(rdnn(X1),X2),rdn(rdnn(X4),X5)) ),
inference(ennf_transformation,[],[f424]) ).
fof(f424,plain,
! [X0,X1,X2,X3,X4,X5] :
( rdn_add_with_carry(rdnn(X0),rdnn(X3),rdn(rdnn(X1),X2),rdn(rdnn(X4),X5))
=> rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdnn(X3),rdn(rdnn(X4),X5)) ),
inference(rectify,[],[f301]) ).
fof(f301,axiom,
! [X20,X21,X30,X22,X23,X28] :
( rdn_add_with_carry(rdnn(X20),rdnn(X22),rdn(rdnn(X21),X30),rdn(rdnn(X23),X28))
=> rdn_add_with_carry(rdnn(X20),rdn(rdnn(X21),X30),rdnn(X22),rdn(rdnn(X23),X28)) ),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',add_rdn_digit_rdn) ).
fof(f892,plain,
! [X0,X1] :
( ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n6),rdn(rdnn(n2),rdnn(n1))),rdnn(n1),X0)
| ~ rdn_translate(X1,rdn_pos(X0)) ),
inference(resolution,[],[f889,f476]) ).
fof(f476,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',rdn1) ).
fof(f889,plain,
! [X2,X0,X1] :
( ~ rdn_translate(n1,rdn_pos(X0))
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n6),rdn(rdnn(n2),rdnn(n1))),X0,X1)
| ~ rdn_translate(X2,rdn_pos(X1)) ),
inference(resolution,[],[f885,f601]) ).
fof(f601,plain,
rdn_translate(n126,rdn_pos(rdn(rdnn(n6),rdn(rdnn(n2),rdnn(n1))))),
inference(cnf_transformation,[],[f127]) ).
fof(f127,axiom,
rdn_translate(n126,rdn_pos(rdn(rdnn(n6),rdn(rdnn(n2),rdnn(n1))))),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',rdn126) ).
fof(f885,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(n126,rdn_pos(X2))
| ~ rdn_add_with_carry(rdnn(n0),X2,X3,X1)
| ~ rdn_translate(n1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f879,f763]) ).
fof(f763,plain,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(cnf_transformation,[],[f445]) ).
fof(f445,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(flattening,[],[f444]) ).
fof(f444,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(ennf_transformation,[],[f411]) ).
fof(f411,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X2,rdn_pos(X5))
& rdn_add_with_carry(rdnn(n0),X3,X4,X5)
& rdn_translate(X1,rdn_pos(X4))
& rdn_translate(X0,rdn_pos(X3)) )
=> sum(X0,X1,X2) ),
inference(rectify,[],[f287]) ).
fof(f287,axiom,
! [X0,X1,X2,X9,X10,X11] :
( ( rdn_translate(X2,rdn_pos(X11))
& rdn_add_with_carry(rdnn(n0),X9,X10,X11)
& rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X0,rdn_pos(X9)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',sum_entry_point_pos_pos) ).
fof(f879,plain,
! [X0] : ~ sum(n126,n1,X0),
inference(cnf_transformation,[],[f471]) ).
fof(f471,plain,
! [X0] : ~ sum(n126,n1,X0),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ? [X0] : sum(n126,n1,X0),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
? [X0] : sum(n126,n1,X0),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',show_upper_boundary) ).
fof(f602,plain,
rdn_translate(n127,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))))),
inference(cnf_transformation,[],[f128]) ).
fof(f128,axiom,
rdn_translate(n127,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))))),
file('/export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255',rdn127) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : NUM314+1 : TPTP v8.1.2. Released v3.1.0.
% 0.05/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 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 May 3 14:56:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.dDrwpAWpQw/Vampire---4.8_19255
% 0.57/0.73 % (19369)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.73 % (19363)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.73 % (19366)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.73 % (19365)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73 % (19368)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.73 % (19367)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.73 % (19370)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.73 % (19365)Refutation not found, incomplete strategy% (19365)------------------------------
% 0.57/0.73 % (19365)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (19366)Refutation not found, incomplete strategy% (19366)------------------------------
% 0.57/0.73 % (19366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (19366)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73
% 0.57/0.73 % (19366)Memory used [KB]: 1273
% 0.57/0.73 % (19366)Time elapsed: 0.003 s
% 0.57/0.73 % (19366)Instructions burned: 4 (million)
% 0.57/0.73 % (19365)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73
% 0.57/0.73 % (19365)Memory used [KB]: 1279
% 0.57/0.73 % (19365)Time elapsed: 0.004 s
% 0.57/0.73 % (19365)Instructions burned: 4 (million)
% 0.57/0.73 % (19368)Refutation not found, incomplete strategy% (19368)------------------------------
% 0.57/0.73 % (19368)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (19368)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73 % (19366)------------------------------
% 0.57/0.73 % (19366)------------------------------
% 0.57/0.73
% 0.57/0.73 % (19368)Memory used [KB]: 1292
% 0.57/0.73 % (19368)Time elapsed: 0.004 s
% 0.57/0.73 % (19368)Instructions burned: 4 (million)
% 0.57/0.73 % (19365)------------------------------
% 0.57/0.73 % (19365)------------------------------
% 0.57/0.73 % (19363)Refutation not found, incomplete strategy% (19363)------------------------------
% 0.57/0.73 % (19363)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (19363)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73
% 0.57/0.73 % (19363)Memory used [KB]: 1296
% 0.57/0.73 % (19363)Time elapsed: 0.004 s
% 0.57/0.73 % (19363)Instructions burned: 5 (million)
% 0.57/0.73 % (19368)------------------------------
% 0.57/0.73 % (19368)------------------------------
% 0.57/0.74 % (19369)Refutation not found, incomplete strategy% (19369)------------------------------
% 0.57/0.74 % (19369)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (19369)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (19369)Memory used [KB]: 1386
% 0.57/0.74 % (19369)Time elapsed: 0.005 s
% 0.57/0.74 % (19369)Instructions burned: 15 (million)
% 0.57/0.74 % (19363)------------------------------
% 0.57/0.74 % (19363)------------------------------
% 0.57/0.74 % (19369)------------------------------
% 0.57/0.74 % (19369)------------------------------
% 0.57/0.74 % (19370)Refutation not found, incomplete strategy% (19370)------------------------------
% 0.57/0.74 % (19370)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (19370)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (19370)Memory used [KB]: 1286
% 0.57/0.74 % (19370)Time elapsed: 0.004 s
% 0.57/0.74 % (19370)Instructions burned: 4 (million)
% 0.57/0.74 % (19370)------------------------------
% 0.57/0.74 % (19370)------------------------------
% 0.57/0.74 % (19364)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.74 % (19371)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.74 % (19374)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.57/0.74 % (19372)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.57/0.74 % (19373)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.57/0.74 % (19371)Refutation not found, incomplete strategy% (19371)------------------------------
% 0.57/0.74 % (19371)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (19371)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (19371)Memory used [KB]: 1271
% 0.57/0.74 % (19371)Time elapsed: 0.003 s
% 0.57/0.74 % (19371)Instructions burned: 3 (million)
% 0.57/0.74 % (19375)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.57/0.74 % (19371)------------------------------
% 0.57/0.74 % (19371)------------------------------
% 0.57/0.74 % (19373)Refutation not found, incomplete strategy% (19373)------------------------------
% 0.57/0.74 % (19373)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (19373)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (19373)Memory used [KB]: 1271
% 0.57/0.74 % (19373)Time elapsed: 0.004 s
% 0.57/0.74 % (19367)Refutation not found, incomplete strategy% (19367)------------------------------
% 0.57/0.74 % (19367)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (19367)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (19367)Memory used [KB]: 1445
% 0.57/0.74 % (19367)Time elapsed: 0.011 s
% 0.57/0.74 % (19367)Instructions burned: 22 (million)
% 0.57/0.74 % (19373)Instructions burned: 4 (million)
% 0.57/0.74 % (19367)------------------------------
% 0.57/0.74 % (19367)------------------------------
% 0.57/0.74 % (19373)------------------------------
% 0.57/0.74 % (19373)------------------------------
% 0.57/0.74 % (19376)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.57/0.74 % (19375)Refutation not found, incomplete strategy% (19375)------------------------------
% 0.57/0.74 % (19375)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (19377)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.57/0.74 % (19375)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (19375)Memory used [KB]: 1303
% 0.57/0.74 % (19375)Time elapsed: 0.006 s
% 0.57/0.74 % (19375)Instructions burned: 8 (million)
% 0.57/0.74 % (19375)------------------------------
% 0.57/0.74 % (19375)------------------------------
% 0.57/0.75 % (19378)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.57/0.75 % (19379)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.57/0.75 % (19378)Refutation not found, incomplete strategy% (19378)------------------------------
% 0.57/0.75 % (19378)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (19378)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (19378)Memory used [KB]: 1272
% 0.57/0.75 % (19378)Time elapsed: 0.004 s
% 0.57/0.75 % (19378)Instructions burned: 4 (million)
% 0.57/0.75 % (19378)------------------------------
% 0.57/0.75 % (19378)------------------------------
% 0.57/0.75 % (19380)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.57/0.75 % (19372)First to succeed.
% 0.57/0.75 % (19376)Refutation not found, incomplete strategy% (19376)------------------------------
% 0.57/0.75 % (19376)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (19376)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (19376)Memory used [KB]: 1444
% 0.57/0.75 % (19376)Time elapsed: 0.008 s
% 0.57/0.75 % (19376)Instructions burned: 20 (million)
% 0.57/0.75 % (19376)------------------------------
% 0.57/0.75 % (19376)------------------------------
% 0.66/0.75 % (19372)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19362"
% 0.66/0.75 % (19377)Refutation not found, incomplete strategy% (19377)------------------------------
% 0.66/0.75 % (19377)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.75 % (19377)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.75
% 0.66/0.75 % (19377)Memory used [KB]: 1378
% 0.66/0.75 % (19377)Time elapsed: 0.009 s
% 0.66/0.75 % (19377)Instructions burned: 15 (million)
% 0.66/0.75 % (19372)Refutation found. Thanks to Tanya!
% 0.66/0.75 % SZS status Theorem for Vampire---4
% 0.66/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.75 % (19372)------------------------------
% 0.66/0.75 % (19372)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.75 % (19372)Termination reason: Refutation
% 0.66/0.75
% 0.66/0.75 % (19372)Memory used [KB]: 1514
% 0.66/0.75 % (19372)Time elapsed: 0.013 s
% 0.66/0.75 % (19372)Instructions burned: 24 (million)
% 0.66/0.75 % (19362)Success in time 0.389 s
% 0.66/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------