TSTP Solution File: NUM307+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM307+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n018.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 12:00:21 EDT 2023
% Result : Theorem 12.74s 2.22s
% Output : Refutation 12.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of formulae : 78 ( 31 unt; 0 def)
% Number of atoms : 214 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 259 ( 123 ~; 104 |; 20 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 12 ( 11 usr; 6 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 170 (; 168 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17032,plain,
$false,
inference(avatar_sat_refutation,[],[f1736,f1739,f1742,f7897,f7899,f17031]) ).
fof(f17031,plain,
~ spl0_714,
inference(avatar_contradiction_clause,[],[f17030]) ).
fof(f17030,plain,
( $false
| ~ spl0_714 ),
inference(subsumption_resolution,[],[f17029,f769]) ).
fof(f769,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f325]) ).
fof(f325,axiom,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp.H2qHnJFSxp/Vampire---4.8_18655',rdn_digit_add_n2_n3_n5_n0) ).
fof(f17029,plain,
( ~ rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0))
| ~ spl0_714 ),
inference(resolution,[],[f8633,f756]) ).
fof(f756,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f352]) ).
fof(f352,axiom,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp.H2qHnJFSxp/Vampire---4.8_18655',rdn_digit_add_n5_n0_n5_n0) ).
fof(f8633,plain,
( ! [X0] :
( ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n5),rdnn(n0))
| ~ rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(X0),rdnn(n0)) )
| ~ spl0_714 ),
inference(resolution,[],[f7910,f871]) ).
fof(f871,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,[],[f456]) ).
fof(f456,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,[],[f455]) ).
fof(f455,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,[],[f416]) ).
fof(f416,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.H2qHnJFSxp/Vampire---4.8_18655',add_digit_digit_digit) ).
fof(f7910,plain,
( ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ spl0_714 ),
inference(subsumption_resolution,[],[f7900,f730]) ).
fof(f730,plain,
rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f336]) ).
fof(f336,axiom,
rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp.H2qHnJFSxp/Vampire---4.8_18655',rdn_digit_add_n3_n4_n7_n0) ).
fof(f7900,plain,
( ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ spl0_714 ),
inference(resolution,[],[f7896,f781]) ).
fof(f781,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.H2qHnJFSxp/Vampire---4.8_18655',rdn_digit_add_n0_n0_n0_n0) ).
fof(f7896,plain,
( ! [X21,X22] :
( ~ rdn_digit_add(rdnn(X21),rdnn(n0),rdnn(X22),rdnn(n0))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(X21))
| ~ rdn_add_with_carry(rdnn(X22),rdnn(n2),rdnn(n3),rdnn(n5)) )
| ~ spl0_714 ),
inference(avatar_component_clause,[],[f7895]) ).
fof(f7895,plain,
( spl0_714
<=> ! [X22,X21] :
( ~ rdn_digit_add(rdnn(X21),rdnn(n0),rdnn(X22),rdnn(n0))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(X21))
| ~ rdn_add_with_carry(rdnn(X22),rdnn(n2),rdnn(n3),rdnn(n5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_714])]) ).
fof(f7899,plain,
~ spl0_713,
inference(avatar_contradiction_clause,[],[f7898]) ).
fof(f7898,plain,
( $false
| ~ spl0_713 ),
inference(resolution,[],[f7893,f602]) ).
fof(f602,plain,
rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
file('/export/starexec/sandbox/tmp/tmp.H2qHnJFSxp/Vampire---4.8_18655',rdn57) ).
fof(f7893,plain,
( ! [X23] : ~ rdn_translate(X23,rdn_pos(rdn(rdnn(n7),rdnn(n5))))
| ~ spl0_713 ),
inference(avatar_component_clause,[],[f7892]) ).
fof(f7892,plain,
( spl0_713
<=> ! [X23] : ~ rdn_translate(X23,rdn_pos(rdn(rdnn(n7),rdnn(n5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_713])]) ).
fof(f7897,plain,
( spl0_713
| spl0_714
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f5413,f1734,f7895,f7892]) ).
fof(f1734,plain,
( spl0_68
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X6),rdnn(X4))
| ~ rdn_digit_add(rdnn(X6),rdnn(n0),rdnn(X1),rdnn(X5))
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X3),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X3),rdnn(n2),rdnn(n3),X2)
| ~ rdn_non_zero(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f5413,plain,
( ! [X21,X22,X23] :
( ~ rdn_digit_add(rdnn(X21),rdnn(n0),rdnn(X22),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X22),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ rdn_translate(X23,rdn_pos(rdn(rdnn(n7),rdnn(n5))))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(X21)) )
| ~ spl0_68 ),
inference(resolution,[],[f3698,f755]) ).
fof(f755,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.H2qHnJFSxp/Vampire---4.8_18655',rdn_digit_add_n7_n0_n7_n0) ).
fof(f3698,plain,
( ! [X28,X29,X26,X27,X24,X25] :
( ~ rdn_digit_add(rdnn(X24),rdnn(n0),rdnn(X25),rdnn(X26))
| ~ rdn_digit_add(rdnn(X27),rdnn(X26),rdnn(X28),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X28),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ rdn_translate(X29,rdn_pos(rdn(rdnn(X25),rdnn(n5))))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X24),rdnn(X27)) )
| ~ spl0_68 ),
inference(resolution,[],[f1743,f482]) ).
fof(f482,plain,
rdn_non_zero_digit(rdnn(n5)),
inference(cnf_transformation,[],[f261]) ).
fof(f261,axiom,
rdn_non_zero_digit(rdnn(n5)),
file('/export/starexec/sandbox/tmp/tmp.H2qHnJFSxp/Vampire---4.8_18655',rdn_digit5) ).
fof(f1743,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_non_zero_digit(rdnn(X5))
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X4),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X4),rdnn(n2),rdnn(n3),rdnn(X5))
| ~ rdn_translate(X6,rdn_pos(rdn(rdnn(X2),rdnn(X5))))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X0),rdnn(X1)) )
| ~ spl0_68 ),
inference(resolution,[],[f1735,f850]) ).
fof(f850,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(cnf_transformation,[],[f427]) ).
fof(f427,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.H2qHnJFSxp/Vampire---4.8_18655',rdn_non_zero_by_digit) ).
fof(f1735,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_non_zero(X2)
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X6),rdnn(X4))
| ~ rdn_digit_add(rdnn(X6),rdnn(n0),rdnn(X1),rdnn(X5))
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X3),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X3),rdnn(n2),rdnn(n3),X2)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2))) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f1734]) ).
fof(f1742,plain,
spl0_67,
inference(avatar_contradiction_clause,[],[f1741]) ).
fof(f1741,plain,
( $false
| spl0_67 ),
inference(subsumption_resolution,[],[f1740,f478]) ).
fof(f478,plain,
rdn_non_zero_digit(rdnn(n3)),
inference(cnf_transformation,[],[f259]) ).
fof(f259,axiom,
rdn_non_zero_digit(rdnn(n3)),
file('/export/starexec/sandbox/tmp/tmp.H2qHnJFSxp/Vampire---4.8_18655',rdn_digit3) ).
fof(f1740,plain,
( ~ rdn_non_zero_digit(rdnn(n3))
| spl0_67 ),
inference(resolution,[],[f1732,f850]) ).
fof(f1732,plain,
( ~ rdn_non_zero(rdnn(n3))
| spl0_67 ),
inference(avatar_component_clause,[],[f1731]) ).
fof(f1731,plain,
( spl0_67
<=> rdn_non_zero(rdnn(n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f1739,plain,
spl0_66,
inference(avatar_contradiction_clause,[],[f1738]) ).
fof(f1738,plain,
( $false
| spl0_66 ),
inference(subsumption_resolution,[],[f1737,f483]) ).
fof(f483,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f258]) ).
fof(f258,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/tmp/tmp.H2qHnJFSxp/Vampire---4.8_18655',rdn_digit2) ).
fof(f1737,plain,
( ~ rdn_non_zero_digit(rdnn(n2))
| spl0_66 ),
inference(resolution,[],[f1729,f850]) ).
fof(f1729,plain,
( ~ rdn_non_zero(rdnn(n2))
| spl0_66 ),
inference(avatar_component_clause,[],[f1728]) ).
fof(f1728,plain,
( spl0_66
<=> rdn_non_zero(rdnn(n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f1736,plain,
( ~ spl0_66
| ~ spl0_67
| spl0_68 ),
inference(avatar_split_clause,[],[f984,f1734,f1731,f1728]) ).
fof(f984,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| ~ rdn_non_zero(X2)
| ~ rdn_non_zero(rdnn(n3))
| ~ rdn_non_zero(rdnn(n2))
| ~ rdn_add_with_carry(rdnn(X3),rdnn(n2),rdnn(n3),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(n3),rdnn(n4),rdnn(X6),rdnn(X4)) ),
inference(resolution,[],[f936,f879]) ).
fof(f879,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6))
| ~ rdn_non_zero(X6)
| ~ rdn_non_zero(X4)
| ~ rdn_non_zero(X2)
| ~ rdn_add_with_carry(rdnn(X10),X2,X4,X6)
| ~ rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
| ~ rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
| ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8)) ),
inference(cnf_transformation,[],[f471]) ).
fof(f471,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6))
| ~ rdn_non_zero(X6)
| ~ rdn_non_zero(X4)
| ~ rdn_non_zero(X2)
| ~ rdn_add_with_carry(rdnn(X10),X2,X4,X6)
| ~ rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
| ~ rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
| ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8)) ),
inference(flattening,[],[f470]) ).
fof(f470,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6))
| ~ rdn_non_zero(X6)
| ~ rdn_non_zero(X4)
| ~ rdn_non_zero(X2)
| ~ rdn_add_with_carry(rdnn(X10),X2,X4,X6)
| ~ rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
| ~ rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
| ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8)) ),
inference(ennf_transformation,[],[f424]) ).
fof(f424,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( rdn_non_zero(X6)
& rdn_non_zero(X4)
& rdn_non_zero(X2)
& rdn_add_with_carry(rdnn(X10),X2,X4,X6)
& rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
& rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
& rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8)) )
=> rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6)) ),
inference(rectify,[],[f300]) ).
fof(f300,axiom,
! [X20,X21,X30,X22,X27,X23,X28,X24,X25,X26,X31] :
( ( rdn_non_zero(X28)
& rdn_non_zero(X27)
& rdn_non_zero(X30)
& rdn_add_with_carry(rdnn(X31),X30,X27,X28)
& rdn_digit_add(rdnn(X25),rdnn(X26),rdnn(X31),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),rdn(rdnn(X21),X30),rdn(rdnn(X22),X27),rdn(rdnn(X23),X28)) ),
file('/export/starexec/sandbox/tmp/tmp.H2qHnJFSxp/Vampire---4.8_18655',add_rdn_rdn_rdn) ).
fof(f936,plain,
! [X0,X1] :
( ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n3),rdnn(n2)),rdn(rdnn(n4),rdnn(n3)),X1)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f909,f692]) ).
fof(f692,plain,
rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
file('/export/starexec/sandbox/tmp/tmp.H2qHnJFSxp/Vampire---4.8_18655',rdn23) ).
fof(f909,plain,
! [X2,X0,X1] :
( ~ rdn_translate(n23,rdn_pos(X0))
| ~ rdn_translate(X2,rdn_pos(X1))
| ~ rdn_add_with_carry(rdnn(n0),X0,rdn(rdnn(n4),rdnn(n3)),X1) ),
inference(resolution,[],[f882,f691]) ).
fof(f691,plain,
rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3)))),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3)))),
file('/export/starexec/sandbox/tmp/tmp.H2qHnJFSxp/Vampire---4.8_18655',rdn34) ).
fof(f882,plain,
! [X2,X3,X1,X4] :
( ~ rdn_translate(n34,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X2)
| ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_translate(n23,rdn_pos(X3)) ),
inference(resolution,[],[f475,f876]) ).
fof(f876,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,[],[f465]) ).
fof(f465,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,[],[f464]) ).
fof(f464,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,[],[f421]) ).
fof(f421,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.H2qHnJFSxp/Vampire---4.8_18655',sum_entry_point_pos_pos) ).
fof(f475,plain,
! [X0] : ~ sum(n23,n34,X0),
inference(cnf_transformation,[],[f426]) ).
fof(f426,plain,
! [X0] : ~ sum(n23,n34,X0),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ? [X0] : sum(n23,n34,X0),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
? [X0] : sum(n23,n34,X0),
file('/export/starexec/sandbox/tmp/tmp.H2qHnJFSxp/Vampire---4.8_18655',summ_n23_n34_something) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : NUM307+1 : TPTP v8.1.2. Released v3.1.0.
% 0.16/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.17/0.38 % Computer : n018.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Fri Aug 25 11:38:13 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.24/0.38 This is a FOF_THM_RFO_SEQ problem
% 0.24/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.H2qHnJFSxp/Vampire---4.8_18655
% 0.24/0.38 % (18786)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.46 % (18788)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.24/0.46 % (18790)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.24/0.46 % (18789)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.24/0.46 % (18794)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.24/0.46 % (18793)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.24/0.46 % (18791)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.24/0.46 % (18787)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.24/0.47 % (18794)Refutation not found, incomplete strategy% (18794)------------------------------
% 0.24/0.47 % (18794)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.47 % (18794)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.47 % (18794)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.47
% 0.24/0.47 % (18794)Memory used [KB]: 6140
% 0.24/0.47 % (18794)Time elapsed: 0.013 s
% 0.24/0.47 % (18794)------------------------------
% 0.24/0.47 % (18794)------------------------------
% 0.24/0.49 % (18787)Refutation not found, incomplete strategy% (18787)------------------------------
% 0.24/0.49 % (18787)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.49 % (18787)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.49 % (18787)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.49
% 0.24/0.49 % (18787)Memory used [KB]: 6396
% 0.24/0.49 % (18787)Time elapsed: 0.026 s
% 0.24/0.49 % (18787)------------------------------
% 0.24/0.49 % (18787)------------------------------
% 0.24/0.50 % (18795)lrs-11_32_amm=off:bce=on:cond=on:er=filter:fsd=off:fde=none:gs=on:gsem=on:lcm=reverse:nm=4:nwc=1.1:sos=all:sac=on:sp=frequency:urr=on:stl=125_403 on Vampire---4 for (403ds/0Mi)
% 0.24/0.52 % (18797)lrs+1010_5:1_bd=off:fsd=off:fde=unused:lcm=predicate:nm=64:nwc=1.7:sac=on:sp=frequency:tgt=ground:stl=62_333 on Vampire---4 for (333ds/0Mi)
% 12.74/2.21 % (18791)First to succeed.
% 12.74/2.22 % (18791)Refutation found. Thanks to Tanya!
% 12.74/2.22 % SZS status Theorem for Vampire---4
% 12.74/2.22 % SZS output start Proof for Vampire---4
% See solution above
% 12.74/2.22 % (18791)------------------------------
% 12.74/2.22 % (18791)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 12.74/2.22 % (18791)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 12.74/2.22 % (18791)Termination reason: Refutation
% 12.74/2.22
% 12.74/2.22 % (18791)Memory used [KB]: 41577
% 12.74/2.22 % (18791)Time elapsed: 1.755 s
% 12.74/2.22 % (18791)------------------------------
% 12.74/2.22 % (18791)------------------------------
% 12.74/2.22 % (18786)Success in time 1.82 s
% 12.74/2.22 % Vampire---4.8 exiting
%------------------------------------------------------------------------------