%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM314+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:12:09 PM UTC 2026
% Result : Theorem 6.53s 1.95s
% Output : Refutation 8.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 18
% Syntax : Number of formulae : 72 ( 28 unt; 0 def)
% Number of atoms : 212 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 292 ( 152 ~; 125 |; 9 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 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 : 208 ( 206 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn1) ).
fof(f127,axiom,
rdn_translate(n126,rdn_pos(rdn(rdnn(n6),rdn(rdnn(n2),rdnn(n1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn126) ).
fof(f128,axiom,
rdn_translate(n127,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn127) ).
fof(f257,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit1) ).
fof(f279,axiom,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
fof(f280,axiom,
! [X0,X1] :
( rdn_non_zero(X1)
=> rdn_non_zero(rdn(rdnn(X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_structure) ).
fof(f287,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X0,rdn_pos(X3))
& rdn_translate(X1,rdn_pos(X4))
& rdn_add_with_carry(rdnn(n0),X3,X4,X5)
& rdn_translate(X2,rdn_pos(X5)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_pos_pos) ).
fof(f297,axiom,
! [X0,X1,X2,X3,X4] :
( ( rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
& rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_digit_digit_digit) ).
fof(f299,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X6),rdnn(X7))
& rdn_digit_add(rdnn(X6),rdnn(X0),rdnn(X4),rdnn(X8))
& rdn_digit_add(rdnn(X7),rdnn(X8),rdnn(X9),rdnn(n0))
& rdn_add_with_carry(rdnn(X9),rdnn(n0),X3,X5)
& rdn_non_zero(X3)
& rdn_non_zero(X5) )
=> rdn_add_with_carry(rdnn(X0),rdnn(X1),rdn(rdnn(X2),X3),rdn(rdnn(X4),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_digit_rdn_rdn) ).
fof(f301,axiom,
! [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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_rdn_digit_rdn) ).
fof(f302,axiom,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n0_n0_n0_n0) ).
fof(f303,axiom,
rdn_digit_add(rdnn(n0),rdnn(n1),rdnn(n1),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n0_n1_n1_n0) ).
fof(f304,axiom,
rdn_digit_add(rdnn(n0),rdnn(n2),rdnn(n2),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n0_n2_n2_n0) ).
fof(f312,axiom,
rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n1_n0_n1_n0) ).
fof(f318,axiom,
rdn_digit_add(rdnn(n1),rdnn(n6),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n1_n6_n7_n0) ).
fof(f322,axiom,
rdn_digit_add(rdnn(n2),rdnn(n0),rdnn(n2),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n2_n0_n2_n0) ).
fof(f372,axiom,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n7_n0_n7_n0) ).
fof(f402,conjecture,
? [X0] : sum(n126,n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',show_upper_boundary) ).
fof(f403,negated_conjecture,
~ ? [X0] : sum(n126,n1,X0),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f411,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f279]) ).
fof(f412,plain,
! [X0,X1] :
( rdn_non_zero(rdn(rdnn(X0),X1))
| ~ rdn_non_zero(X1) ),
inference(ennf_transformation,[],[f280]) ).
fof(f423,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(ennf_transformation,[],[f287]) ).
fof(f424,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(flattening,[],[f423]) ).
fof(f441,plain,
! [X0,X1,X2,X3,X4] :
( 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(ennf_transformation,[],[f297]) ).
fof(f442,plain,
! [X0,X1,X2,X3,X4] :
( 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(flattening,[],[f441]) ).
fof(f445,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_digit_add(rdnn(X1),rdnn(X2),rdnn(X6),rdnn(X7))
| ~ rdn_digit_add(rdnn(X6),rdnn(X0),rdnn(X4),rdnn(X8))
| ~ rdn_digit_add(rdnn(X7),rdnn(X8),rdnn(X9),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X9),rdnn(n0),X3,X5)
| ~ rdn_non_zero(X3)
| ~ rdn_non_zero(X5) ),
inference(ennf_transformation,[],[f299]) ).
fof(f446,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_digit_add(rdnn(X1),rdnn(X2),rdnn(X6),rdnn(X7))
| ~ rdn_digit_add(rdnn(X6),rdnn(X0),rdnn(X4),rdnn(X8))
| ~ rdn_digit_add(rdnn(X7),rdnn(X8),rdnn(X9),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X9),rdnn(n0),X3,X5)
| ~ rdn_non_zero(X3)
| ~ rdn_non_zero(X5) ),
inference(flattening,[],[f445]) ).
fof(f449,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,[],[f301]) ).
fof(f450,plain,
! [X0] : ~ sum(n126,n1,X0),
inference(ennf_transformation,[],[f403]) ).
fof(f455,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(cnf_transformation,[],[f2]) ).
fof(f580,plain,
rdn_translate(n126,rdn_pos(rdn(rdnn(n6),rdn(rdnn(n2),rdnn(n1))))),
inference(cnf_transformation,[],[f127]) ).
fof(f581,plain,
rdn_translate(n127,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))))),
inference(cnf_transformation,[],[f128]) ).
fof(f710,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(cnf_transformation,[],[f257]) ).
fof(f732,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(cnf_transformation,[],[f411]) ).
fof(f733,plain,
! [X0,X1] :
( rdn_non_zero(rdn(rdnn(X0),X1))
| ~ rdn_non_zero(X1) ),
inference(cnf_transformation,[],[f412]) ).
fof(f742,plain,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(cnf_transformation,[],[f424]) ).
fof(f753,plain,
! [X2,X3,X0,X1,X4] :
( 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_transformation,[],[f442]) ).
fof(f755,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_digit_add(rdnn(X1),rdnn(X2),rdnn(X6),rdnn(X7))
| ~ rdn_digit_add(rdnn(X6),rdnn(X0),rdnn(X4),rdnn(X8))
| ~ rdn_digit_add(rdnn(X7),rdnn(X8),rdnn(X9),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X9),rdnn(n0),X3,X5)
| ~ rdn_non_zero(X3)
| ~ rdn_non_zero(X5) ),
inference(cnf_transformation,[],[f446]) ).
fof(f757,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,[],[f449]) ).
fof(f758,plain,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
inference(cnf_transformation,[],[f302]) ).
fof(f759,plain,
rdn_digit_add(rdnn(n0),rdnn(n1),rdnn(n1),rdnn(n0)),
inference(cnf_transformation,[],[f303]) ).
fof(f760,plain,
rdn_digit_add(rdnn(n0),rdnn(n2),rdnn(n2),rdnn(n0)),
inference(cnf_transformation,[],[f304]) ).
fof(f768,plain,
rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0)),
inference(cnf_transformation,[],[f312]) ).
fof(f774,plain,
rdn_digit_add(rdnn(n1),rdnn(n6),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f318]) ).
fof(f778,plain,
rdn_digit_add(rdnn(n2),rdnn(n0),rdnn(n2),rdnn(n0)),
inference(cnf_transformation,[],[f322]) ).
fof(f828,plain,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f372]) ).
fof(f858,plain,
! [X0] : ~ sum(n126,n1,X0),
inference(cnf_transformation,[],[f450]) ).
fof(f863,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(n126,rdn_pos(X0))
| ~ rdn_translate(n1,rdn_pos(X1))
| ~ rdn_add_with_carry(rdnn(n0),X0,X1,X2)
| ~ rdn_translate(X3,rdn_pos(X2)) ),
inference(resolution,[],[f858,f742]) ).
fof(f867,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,[],[f863,f580]) ).
fof(f874,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,[],[f867,f455]) ).
fof(f878,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,[],[f874,f757]) ).
fof(f883,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_non_zero(rdn(rdnn(n2),rdnn(n1)))
| ~ rdn_digit_add(rdnn(n1),rdnn(n6),rdnn(X3),rdnn(X4))
| ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(X1),rdnn(X5))
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X6),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X6),rdnn(n0),rdn(rdnn(n2),rdnn(n1)),X2)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| ~ rdn_non_zero(X2) ),
inference(resolution,[],[f878,f755]) ).
fof(f884,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_non_zero(rdnn(n1))
| ~ 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(n0),rdn(rdnn(n2),rdnn(n1)),X5)
| ~ rdn_translate(X6,rdn_pos(rdn(rdnn(X2),X5)))
| ~ rdn_non_zero(X5)
| ~ rdn_digit_add(rdnn(n1),rdnn(n6),rdnn(X0),rdnn(X1)) ),
inference(resolution,[],[f883,f733]) ).
fof(f887,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_non_zero_digit(rdnn(n1))
| ~ rdn_digit_add(rdnn(X3),rdnn(X2),rdnn(X4),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X4),rdnn(n0),rdn(rdnn(n2),rdnn(n1)),X5)
| ~ rdn_translate(X6,rdn_pos(rdn(rdnn(X1),X5)))
| ~ rdn_non_zero(X5)
| ~ rdn_digit_add(rdnn(n1),rdnn(n6),rdnn(X0),rdnn(X3))
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(X1),rdnn(X2)) ),
inference(resolution,[],[f884,f732]) ).
fof(f892,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_digit_add(rdnn(n1),rdnn(n6),rdnn(X6),rdnn(X0))
| ~ rdn_add_with_carry(rdnn(X2),rdnn(n0),rdn(rdnn(n2),rdnn(n1)),X3)
| ~ rdn_translate(X4,rdn_pos(rdn(rdnn(X5),X3)))
| ~ rdn_non_zero(X3)
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_digit_add(rdnn(X6),rdnn(n0),rdnn(X5),rdnn(X1)) ),
inference(resolution,[],[f887,f710]) ).
fof(f896,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(X3),rdnn(X4))
| ~ rdn_translate(X2,rdn_pos(rdn(rdnn(X3),X1)))
| ~ rdn_non_zero(X1)
| ~ rdn_digit_add(rdnn(n0),rdnn(X4),rdnn(X0),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X0),rdnn(n0),rdn(rdnn(n2),rdnn(n1)),X1) ),
inference(resolution,[],[f892,f774]) ).
fof(f898,plain,
! [X2,X0,X1] :
( ~ rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(X2),rdnn(n0))
| ~ rdn_non_zero(X1)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),X1)))
| ~ rdn_add_with_carry(rdnn(X2),rdnn(n0),rdn(rdnn(n2),rdnn(n1)),X1) ),
inference(resolution,[],[f896,f828]) ).
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,[],[f898,f758]) ).
fof(f902,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_non_zero(rdnn(n1))
| ~ rdn_non_zero(rdn(rdnn(X1),X2))
| ~ rdn_digit_add(rdnn(n0),rdnn(n2),rdnn(X3),rdnn(X4))
| ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(X1),rdnn(X5))
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X6),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X6),rdnn(n0),rdnn(n1),X2)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdn(rdnn(X1),X2))))
| ~ rdn_non_zero(X2) ),
inference(resolution,[],[f900,f755]) ).
fof(f906,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_non_zero_digit(rdnn(n1))
| ~ rdn_digit_add(rdnn(n0),rdnn(n2),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X0),rdnn(X4))
| ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X5),rdnn(n0),rdnn(n1),X1)
| ~ rdn_translate(X6,rdn_pos(rdn(rdnn(n7),rdn(rdnn(X0),X1))))
| ~ rdn_non_zero(X1)
| ~ rdn_non_zero(rdn(rdnn(X0),X1)) ),
inference(resolution,[],[f902,f732]) ).
fof(f909,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_digit_add(rdnn(n0),rdnn(n2),rdnn(X0),rdnn(X1))
| ~ 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(n0),rdnn(n1),X5)
| ~ rdn_translate(X6,rdn_pos(rdn(rdnn(n7),rdn(rdnn(X2),X5))))
| ~ rdn_non_zero(X5)
| ~ rdn_non_zero(rdn(rdnn(X2),X5)) ),
inference(resolution,[],[f906,f710]) ).
fof(f911,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(n2),rdnn(n0),rdnn(X0),rdnn(X1))
| ~ rdn_digit_add(rdnn(n0),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X2),rdnn(n0),rdnn(n1),X3)
| ~ rdn_translate(X4,rdn_pos(rdn(rdnn(n7),rdn(rdnn(X0),X3))))
| ~ rdn_non_zero(X3)
| ~ rdn_non_zero(rdn(rdnn(X0),X3)) ),
inference(resolution,[],[f909,f760]) ).
fof(f914,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)
| ~ rdn_non_zero(rdn(rdnn(n2),X1)) ),
inference(resolution,[],[f911,f778]) ).
fof(f916,plain,
! [X0,X1] :
( ~ rdn_non_zero(rdn(rdnn(n2),X0))
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),X0))))
| ~ rdn_non_zero(X0)
| ~ rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n1),X0) ),
inference(resolution,[],[f914,f758]) ).
fof(f918,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),X1))))
| ~ rdn_non_zero(X1)
| ~ rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n1),X1)
| ~ rdn_non_zero(X1) ),
inference(resolution,[],[f916,f733]) ).
fof(f919,plain,
! [X0,X1] :
( ~ rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n1),X1)
| ~ rdn_non_zero(X1)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),X1)))) ),
inference(duplicate_literal_removal,[],[f918]) ).
fof(f921,plain,
! [X2,X0,X1] :
( ~ rdn_digit_add(rdnn(n0),rdnn(n1),rdnn(X2),rdnn(n0))
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(X0)))))
| ~ rdn_non_zero(rdnn(X0))
| ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X0),rdnn(n0)) ),
inference(resolution,[],[f919,f753]) ).
fof(f927,plain,
! [X0,X1] :
( ~ rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(X1),rdnn(n0))
| ~ rdn_non_zero(rdnn(X1))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(X1))))) ),
inference(resolution,[],[f921,f759]) ).
fof(f932,plain,
! [X0] :
( ~ rdn_non_zero(rdnn(n1))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))))) ),
inference(resolution,[],[f927,f768]) ).
fof(f934,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(n1))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))))) ),
inference(resolution,[],[f932,f732]) ).
fof(f939,plain,
! [X0] : ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))))),
inference(resolution,[],[f934,f710]) ).
fof(f940,plain,
$false,
inference(resolution,[],[f939,f581]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM314+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n010.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 19:31:47 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.52/1.75 % (1260878)Detected formulas, will run a generic FOF schedule.
% 5.52/1.75 % (1260888)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=497961284:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.52/1.75 % (1260887)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3520478772:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.52/1.75 % (1260884)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2024742118:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.52/1.75 % (1260885)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4099870219:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.52/1.75 % (1260883)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=146896518:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.52/1.75 % (1260889)dis-21_1_sil=8000:lcm=predicate:random_seed=656333743:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.52/1.75 % (1260886)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3566636525:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.52/1.75 % (1260886)Refutation not found, incomplete strategy
% 5.52/1.75 % (1260886)------------------------------
% 5.52/1.75 % (1260886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.75 % (1260886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.75 % (1260886)CaDiCaL version: 2.1.3
% 5.52/1.75 % (1260886)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.75 % (1260886)Time elapsed: 0.002 s
% 5.52/1.75 % (1260886)Peak memory usage: 88 MB
% 5.52/1.75 % (1260886)Instructions burned: 1 (million)
% 5.52/1.75 % (1260887)Refutation not found, incomplete strategy
% 5.52/1.75 % (1260887)------------------------------
% 5.52/1.75 % (1260887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.75 % (1260887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.75 % (1260887)CaDiCaL version: 2.1.3
% 5.52/1.75 % (1260887)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.75 % (1260887)Time elapsed: 0.002 s
% 5.52/1.75 % (1260887)Peak memory usage: 87 MB
% 5.52/1.75 % (1260887)Instructions burned: 2 (million)
% 5.52/1.75 % (1260888)Instruction limit reached!
% 5.52/1.75 % (1260888)------------------------------
% 5.52/1.75 % (1260888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.75 % (1260888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.75 % (1260888)CaDiCaL version: 2.1.3
% 5.52/1.75 % (1260888)Termination reason: Instruction limit
% 5.52/1.75 % (1260888)Termination phase: Saturation
% 5.52/1.75 % (1260888)Time elapsed: 0.047 s
% 5.52/1.75 % (1260888)Peak memory usage: 90 MB
% 5.52/1.75 % (1260888)Instructions burned: 142 (million)
% 5.52/1.75 % (1260889)Instruction limit reached!
% 5.52/1.75 % (1260889)------------------------------
% 5.52/1.75 % (1260889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.75 % (1260889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.75 % (1260889)CaDiCaL version: 2.1.3
% 5.52/1.75 % (1260889)Termination reason: Instruction limit
% 5.52/1.75 % (1260889)Termination phase: Saturation
% 5.52/1.75 % (1260889)Time elapsed: 0.077 s
% 5.52/1.75 % (1260889)Peak memory usage: 89 MB
% 5.52/1.75 % (1260889)Instructions burned: 129 (million)
% 5.52/1.75 % (1260897)lrs+10_1_sil=8000:sp=occurrence:random_seed=3369384058:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.52/1.75 % (1260897)Refutation not found, incomplete strategy
% 5.52/1.75 % (1260897)------------------------------
% 5.52/1.75 % (1260897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.75 % (1260897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.75 % (1260897)CaDiCaL version: 2.1.3
% 5.52/1.75 % (1260897)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.75 % (1260897)Time elapsed: 0.001 s
% 5.52/1.75 % (1260897)Peak memory usage: 88 MB
% 5.52/1.75 % (1260897)Instructions burned: 2 (million)
% 5.52/1.75 % (1260886)------------------------------
% 6.53/1.95 % (1260886)------------------------------
% 6.53/1.95 % (1260887)------------------------------
% 6.53/1.95 % (1260887)------------------------------
% 6.53/1.95 % (1260898)lrs+10_1_sil=32000:urr=on:br=off:random_seed=930335422:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.53/1.95 % (1260898)Refutation not found, incomplete strategy
% 6.53/1.95 % (1260898)------------------------------
% 6.53/1.95 % (1260898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1260898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1260898)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1260898)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.95 % (1260898)Time elapsed: 0.003 s
% 6.53/1.95 % (1260898)Peak memory usage: 88 MB
% 6.53/1.95 % (1260898)Instructions burned: 5 (million)
% 6.53/1.95 % (1260897)------------------------------
% 6.53/1.95 % (1260897)------------------------------
% 6.53/1.95 [W927 19:31:48.970085539 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.53/1.95 [W927 19:31:48.970122242 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.53/1.95 [W927 19:31:48.970163346 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.53/1.95 [W927 19:31:48.970177159 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.53/1.95 [W927 19:31:48.970203876 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.53/1.95 [W927 19:31:48.970215709 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.53/1.95 [W927 19:31:48.970242602 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.53/1.95 [W927 19:31:48.970253959 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.53/1.95 [W927 19:31:48.970279099 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.53/1.95 [W927 19:31:48.970290549 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.53/1.95 [W927 19:31:48.970316486 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.53/1.95 [W927 19:31:48.970327936 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.53/1.95 % (1260901)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3002293803:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.53/1.95 % (1260901)Refutation not found, incomplete strategy
% 6.53/1.95 % (1260901)------------------------------
% 6.53/1.95 % (1260901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1260901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1260901)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1260901)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.95 % (1260901)Time elapsed: 0.003 s
% 6.53/1.95 % (1260901)Peak memory usage: 88 MB
% 6.53/1.95 % (1260901)Instructions burned: 2 (million)
% 6.53/1.95 % (1260903)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=405443206:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.53/1.95 % (1260902)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3948963428:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.53/1.95 % (1260903)Refutation not found, incomplete strategy
% 6.53/1.95 % (1260903)------------------------------
% 6.53/1.95 % (1260903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1260903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1260903)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1260903)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.95 % (1260903)Time elapsed: 0.003 s
% 6.53/1.95 % (1260903)Peak memory usage: 88 MB
% 6.53/1.95 % (1260903)Instructions burned: 10 (million)
% 6.53/1.95 % (1260898)------------------------------
% 6.53/1.95 % (1260898)------------------------------
% 6.53/1.95 % (1260902)Instruction limit reached!
% 6.53/1.95 % (1260902)------------------------------
% 6.53/1.95 % (1260902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1260902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1260902)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1260902)Termination reason: Instruction limit
% 6.53/1.95 % (1260902)Termination phase: Saturation
% 6.53/1.95 % (1260902)Time elapsed: 0.123 s
% 6.53/1.95 % (1260902)Peak memory usage: 91 MB
% 6.53/1.95 % (1260902)Instructions burned: 250 (million)
% 6.53/1.95 % (1260903)------------------------------
% 6.53/1.95 % (1260903)------------------------------
% 6.53/1.95 % (1260884)Refutation not found, incomplete strategy
% 6.53/1.95 % (1260884)------------------------------
% 6.53/1.95 % (1260884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1260884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1260884)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1260884)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.95 % (1260884)Time elapsed: 0.570 s
% 6.53/1.95 % (1260884)Peak memory usage: 125 MB
% 6.53/1.95 % (1260884)Instructions burned: 836 (million)
% 6.53/1.95 % (1260885)Refutation not found, incomplete strategy
% 6.53/1.95 % (1260885)------------------------------
% 6.53/1.95 % (1260885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1260885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1260885)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1260885)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.95 % (1260885)Time elapsed: 0.620 s
% 6.53/1.95 % (1260885)Peak memory usage: 128 MB
% 6.53/1.95 % (1260885)Instructions burned: 905 (million)
% 6.53/1.95 % (1260901)------------------------------
% 6.53/1.95 % (1260901)------------------------------
% 6.53/1.95 % (1260907)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=983230534:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.53/1.95 % (1260908)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=891129248:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 6.53/1.95 % (1260908)Refutation not found, incomplete strategy
% 6.53/1.95 % (1260908)------------------------------
% 6.53/1.95 % (1260908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1260908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1260908)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1260908)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.95 % (1260908)Time elapsed: 0.003 s
% 6.53/1.95 % (1260908)Peak memory usage: 89 MB
% 6.53/1.95 % (1260908)Instructions burned: 2 (million)
% 6.53/1.95 % (1260909)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3971327495:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.53/1.95 % (1260909)First to succeed.
% 6.53/1.95 % (1260909)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1260878"
% 6.53/1.95 % (1260911)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1018659007:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.53/1.95 % (1260884)------------------------------
% 6.53/1.95 % (1260884)------------------------------
% 6.53/1.95 % (1260911)Instruction limit reached!
% 6.53/1.95 % (1260911)------------------------------
% 6.53/1.95 % (1260911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1260911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1260911)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1260911)Termination reason: Instruction limit
% 6.53/1.95 % (1260911)Termination phase: Saturation
% 6.53/1.95 % (1260911)Time elapsed: 0.059 s
% 6.53/1.95 % (1260911)Peak memory usage: 89 MB
% 6.53/1.95 % (1260911)Instructions burned: 114 (million)
% 6.53/1.95 % (1260885)------------------------------
% 6.53/1.95 % (1260885)------------------------------
% 6.53/1.95 % (1260909)Refutation found. Thanks to Tanya!
% 6.53/1.95 % SZS status Theorem for theBenchmark
% 6.53/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 8.08/2.05 % (1260909)------------------------------
% 8.08/2.05 % (1260909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.05 % (1260909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.05 % (1260909)CaDiCaL version: 2.1.3
% 8.08/2.05 % (1260909)Termination reason: Refutation
% 8.08/2.05 % (1260909)Time elapsed: 0.006 s
% 8.08/2.05 % (1260909)Peak memory usage: 88 MB
% 8.08/2.05 % (1260909)Instructions burned: 21 (million)
% 8.08/2.05 % (1260909)------------------------------
% 8.08/2.05 % (1260909)------------------------------
% 8.08/2.05 % (1260878)Success in time 1.088 s
% 8.08/2.05 % Vampire exiting
%------------------------------------------------------------------------------