%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM306+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 : n019.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 12:12:08 PM UTC 2026
% Result : Theorem 8.41s 6.80s
% Output : Refutation 8.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 58 ( 29 unt; 0 def)
% Number of atoms : 165 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 219 ( 112 ~; 93 |; 10 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 138 ( 138 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn23) ).
fof(f35,axiom,
rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn34) ).
fof(f58,axiom,
rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn57) ).
fof(f258,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f259,axiom,
rdn_non_zero_digit(rdnn(n3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit3) ).
fof(f261,axiom,
rdn_non_zero_digit(rdnn(n5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit5) ).
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(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(f300,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8))
& rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
& rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
& rdn_add_with_carry(rdnn(X10),X2,X4,X6)
& rdn_non_zero(X2)
& rdn_non_zero(X4)
& rdn_non_zero(X6) )
=> rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_rdn_rdn_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(f325,axiom,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n2_n3_n5_n0) ).
fof(f336,axiom,
rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n3_n4_n7_n0) ).
fof(f352,axiom,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n5_n0_n5_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,
sum(n23,n34,n57),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_n23_n34_n57) ).
fof(f403,negated_conjecture,
~ sum(n23,n34,n57),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f404,plain,
~ sum(n23,n34,n57),
inference(flattening,[],[f403]) ).
fof(f412,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f279]) ).
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(ennf_transformation,[],[f287]) ).
fof(f425,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,[],[f424]) ).
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(ennf_transformation,[],[f297]) ).
fof(f443,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,[],[f442]) ).
fof(f448,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_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8))
| ~ rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
| ~ rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X10),X2,X4,X6)
| ~ rdn_non_zero(X2)
| ~ rdn_non_zero(X4)
| ~ rdn_non_zero(X6) ),
inference(ennf_transformation,[],[f300]) ).
fof(f449,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_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8))
| ~ rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
| ~ rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X10),X2,X4,X6)
| ~ rdn_non_zero(X2)
| ~ rdn_non_zero(X4)
| ~ rdn_non_zero(X6) ),
inference(flattening,[],[f448]) ).
fof(f477,plain,
rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
inference(cnf_transformation,[],[f24]) ).
fof(f488,plain,
rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3)))),
inference(cnf_transformation,[],[f35]) ).
fof(f511,plain,
rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
inference(cnf_transformation,[],[f58]) ).
fof(f711,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f258]) ).
fof(f712,plain,
rdn_non_zero_digit(rdnn(n3)),
inference(cnf_transformation,[],[f259]) ).
fof(f714,plain,
rdn_non_zero_digit(rdnn(n5)),
inference(cnf_transformation,[],[f261]) ).
fof(f732,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
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,[],[f425]) ).
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,[],[f443]) ).
fof(f756,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_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8))
| ~ rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
| ~ rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X10),X2,X4,X6)
| ~ rdn_non_zero(X2)
| ~ rdn_non_zero(X4)
| ~ rdn_non_zero(X6) ),
inference(cnf_transformation,[],[f449]) ).
fof(f758,plain,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
inference(cnf_transformation,[],[f302]) ).
fof(f781,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f325]) ).
fof(f792,plain,
rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f336]) ).
fof(f808,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f352]) ).
fof(f828,plain,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f372]) ).
fof(f858,plain,
~ sum(n23,n34,n57),
inference(cnf_transformation,[],[f404]) ).
fof(f863,plain,
! [X2,X0,X1] :
( ~ rdn_translate(n57,rdn_pos(X2))
| ~ rdn_translate(n34,rdn_pos(X1))
| ~ rdn_add_with_carry(rdnn(n0),X0,X1,X2)
| ~ rdn_translate(n23,rdn_pos(X0)) ),
inference(resolution,[],[f858,f742]) ).
fof(f869,plain,
! [X0,X1] :
( ~ rdn_translate(n34,rdn_pos(X0))
| ~ rdn_add_with_carry(rdnn(n0),X1,X0,rdn(rdnn(n7),rdnn(n5)))
| ~ rdn_translate(n23,rdn_pos(X1)) ),
inference(resolution,[],[f863,f511]) ).
fof(f870,plain,
! [X0] :
( ~ rdn_translate(n23,rdn_pos(X0))
| ~ rdn_add_with_carry(rdnn(n0),X0,rdn(rdnn(n4),rdnn(n3)),rdn(rdnn(n7),rdnn(n5))) ),
inference(resolution,[],[f869,f488]) ).
fof(f872,plain,
~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n3),rdnn(n2)),rdn(rdnn(n4),rdnn(n3)),rdn(rdnn(n7),rdnn(n5))),
inference(resolution,[],[f870,f477]) ).
fof(f873,plain,
! [X2,X3,X0,X1] :
( ~ rdn_non_zero(rdnn(n5))
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n7),rdnn(X2))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X3),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ rdn_non_zero(rdnn(n2))
| ~ rdn_non_zero(rdnn(n3))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X0),rdnn(X1)) ),
inference(resolution,[],[f872,f756]) ).
fof(f911,plain,
! [X2,X3,X0,X1] :
( ~ rdn_non_zero(rdnn(n3))
| ~ rdn_digit_add(rdnn(X2),rdnn(X1),rdnn(X3),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X3),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ rdn_non_zero(rdnn(n2))
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n7),rdnn(X1))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X0),rdnn(X2))
| ~ rdn_non_zero_digit(rdnn(n5)) ),
inference(resolution,[],[f873,f732]) ).
fof(f912,plain,
! [X2,X3,X0,X1] :
( ~ rdn_non_zero(rdnn(n2))
| ~ rdn_add_with_carry(rdnn(X2),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(n7),rdnn(X1))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X3),rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(n5))
| ~ rdn_non_zero_digit(rdnn(n3)) ),
inference(resolution,[],[f911,f732]) ).
fof(f913,plain,
! [X2,X3,X0,X1] :
( ~ rdn_non_zero_digit(rdnn(n5))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X0),rdnn(n0))
| ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(n7),rdnn(X2))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X3),rdnn(X1))
| ~ rdn_add_with_carry(rdnn(X0),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ rdn_non_zero_digit(rdnn(n3))
| ~ rdn_non_zero_digit(rdnn(n2)) ),
inference(resolution,[],[f912,f732]) ).
fof(f915,plain,
! [X2,X3,X0,X1] :
( ~ rdn_non_zero_digit(rdnn(n3))
| ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(n7),rdnn(X1))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X3),rdnn(X0))
| ~ rdn_add_with_carry(rdnn(X2),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_non_zero_digit(rdnn(n2)) ),
inference(resolution,[],[f913,f714]) ).
fof(f917,plain,
! [X2,X3,X0,X1] :
( ~ rdn_non_zero_digit(rdnn(n2))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X0),rdnn(X2))
| ~ rdn_add_with_carry(rdnn(X3),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ rdn_digit_add(rdnn(X2),rdnn(X1),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n7),rdnn(X1)) ),
inference(resolution,[],[f915,f712]) ).
fof(f918,plain,
! [X2,X3,X0,X1] :
( ~ rdn_add_with_carry(rdnn(X2),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X0),rdnn(X1))
| ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X2),rdnn(n0))
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n7),rdnn(X3)) ),
inference(resolution,[],[f917,f711]) ).
fof(f920,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n7),rdnn(X2))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X0),rdnn(X1))
| ~ rdn_digit_add(rdnn(X4),rdnn(X3),rdnn(n5),rdnn(n0)) ),
inference(resolution,[],[f918,f753]) ).
fof(f926,plain,
! [X2,X3,X0,X1] :
( ~ rdn_digit_add(rdnn(n5),rdnn(X2),rdnn(n5),rdnn(n0))
| ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(n7),rdnn(X1))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X3),rdnn(X0))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0)) ),
inference(resolution,[],[f920,f781]) ).
fof(f930,plain,
! [X2,X0,X1] :
( ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X0),rdnn(X2))
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n7),rdnn(X1))
| ~ rdn_digit_add(rdnn(X2),rdnn(X1),rdnn(n0),rdnn(n0)) ),
inference(resolution,[],[f926,f808]) ).
fof(f932,plain,
! [X0] :
( ~ rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(X0))
| ~ rdn_digit_add(rdnn(n0),rdnn(X0),rdnn(n0),rdnn(n0)) ),
inference(resolution,[],[f930,f792]) ).
fof(f934,plain,
~ rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
inference(resolution,[],[f932,f828]) ).
fof(f936,plain,
$false,
inference(resolution,[],[f934,f758]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM306+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.40 % Computer : n019.cluster.edu
% 0.10/5.40 % Model : x86_64 x86_64
% 0.10/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.40 % Memory : 8046.5625MB
% 0.10/5.40 % OS : Linux 6.8.0-71-generic
% 0.10/5.40 % CPULimit : 300
% 0.10/5.40 % WCLimit : 300
% 0.10/5.40 % DateTime : Sun Sep 27 19:30:11 UTC 2026
% 0.10/5.40 % CPUTime :
% 0.10/5.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.44 Running first-order theorem proving
% 0.10/5.44 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
% 4.32/6.41 % (3356142)Detected formulas, will run a generic FOF schedule.
% 4.32/6.41 % (3356152)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1376979903:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.32/6.41 % (3356147)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=2896412025:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.32/6.41 % (3356151)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3096456876:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.32/6.41 % (3356150)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3781286646:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.32/6.41 % (3356153)dis-21_1_sil=8000:lcm=predicate:random_seed=3602142568: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)
% 4.32/6.41 % (3356148)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=2596274884:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.32/6.41 % (3356149)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=1734206961:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.32/6.41 % (3356150)Refutation not found, incomplete strategy
% 4.32/6.41 % (3356150)------------------------------
% 4.32/6.41 % (3356150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.32/6.41 % (3356150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/6.41 % (3356150)CaDiCaL version: 2.1.3
% 4.32/6.41 % (3356150)Termination reason: Refutation not found, incomplete strategy
% 4.32/6.41 % (3356150)Time elapsed: 0.002 s
% 4.32/6.41 % (3356150)Peak memory usage: 87 MB
% 4.32/6.41 % (3356150)Instructions burned: 1 (million)
% 4.32/6.41 % (3356151)Refutation not found, incomplete strategy
% 4.32/6.41 % (3356151)------------------------------
% 4.32/6.41 % (3356151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.32/6.41 % (3356151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/6.41 % (3356151)CaDiCaL version: 2.1.3
% 4.32/6.41 % (3356151)Termination reason: Refutation not found, incomplete strategy
% 4.32/6.41 % (3356151)Time elapsed: 0.002 s
% 4.32/6.41 % (3356151)Peak memory usage: 88 MB
% 4.32/6.41 % (3356151)Instructions burned: 2 (million)
% 4.32/6.41 % (3356153)Instruction limit reached!
% 4.32/6.41 % (3356153)------------------------------
% 4.32/6.41 % (3356153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.32/6.41 % (3356153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/6.41 % (3356153)CaDiCaL version: 2.1.3
% 4.32/6.41 % (3356153)Termination reason: Instruction limit
% 4.32/6.41 % (3356153)Termination phase: Saturation
% 4.32/6.41 % (3356153)Time elapsed: 0.074 s
% 4.32/6.41 % (3356153)Peak memory usage: 89 MB
% 4.32/6.41 % (3356153)Instructions burned: 130 (million)
% 4.32/6.41 % (3356152)Instruction limit reached!
% 4.32/6.41 % (3356152)------------------------------
% 4.32/6.41 % (3356152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.32/6.41 % (3356152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/6.41 % (3356152)CaDiCaL version: 2.1.3
% 4.32/6.41 % (3356152)Termination reason: Instruction limit
% 4.32/6.41 % (3356152)Termination phase: Saturation
% 4.32/6.41 % (3356152)Time elapsed: 0.080 s
% 4.32/6.41 % (3356152)Peak memory usage: 89 MB
% 4.32/6.41 % (3356152)Instructions burned: 139 (million)
% 4.32/6.41 % (3356161)lrs+10_1_sil=8000:sp=occurrence:random_seed=211692301:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.32/6.41 % (3356161)Refutation not found, incomplete strategy
% 4.32/6.41 % (3356161)------------------------------
% 4.32/6.41 % (3356161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.32/6.41 % (3356161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/6.41 % (3356161)CaDiCaL version: 2.1.3
% 4.32/6.41 % (3356161)Termination reason: Refutation not found, incomplete strategy
% 4.32/6.41 % (3356161)Time elapsed: 0.002 s
% 4.32/6.41 % (3356161)Peak memory usage: 88 MB
% 4.32/6.41 % (3356161)Instructions burned: 2 (million)
% 4.32/6.41 % (3356162)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1456695645:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.03/6.80 % (3356162)Refutation not found, incomplete strategy
% 7.03/6.80 % (3356162)------------------------------
% 7.03/6.80 % (3356162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/6.80 % (3356162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/6.80 % (3356162)CaDiCaL version: 2.1.3
% 7.03/6.80 % (3356162)Termination reason: Refutation not found, incomplete strategy
% 7.03/6.80 % (3356162)Time elapsed: 0.003 s
% 7.03/6.80 % (3356162)Peak memory usage: 88 MB
% 7.03/6.80 % (3356162)Instructions burned: 5 (million)
% 7.03/6.80 % (3356150)------------------------------
% 7.03/6.80 % (3356150)------------------------------
% 7.03/6.80 % (3356151)------------------------------
% 7.03/6.80 % (3356151)------------------------------
% 7.03/6.80 % (3356165)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2782586850:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 7.03/6.80 % (3356166)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=3133166403:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.03/6.80 % (3356165)Refutation not found, incomplete strategy
% 7.03/6.80 % (3356165)------------------------------
% 7.03/6.80 % (3356165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/6.80 % (3356165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/6.80 % (3356165)CaDiCaL version: 2.1.3
% 7.03/6.80 % (3356165)Termination reason: Refutation not found, incomplete strategy
% 7.03/6.80 % (3356165)Time elapsed: 0.002 s
% 7.03/6.80 % (3356165)Peak memory usage: 88 MB
% 7.03/6.80 % (3356165)Instructions burned: 2 (million)
% 7.03/6.80 % (3356162)------------------------------
% 7.03/6.80 % (3356162)------------------------------
% 7.03/6.80 [W927 19:30:12.412963243 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.
% 7.03/6.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.41/6.80 [W927 19:30:12.412992759 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.
% 8.41/6.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.41/6.80 [W927 19:30:12.413047553 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.
% 8.41/6.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.41/6.80 [W927 19:30:12.413061706 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.
% 8.41/6.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.41/6.80 [W927 19:30:12.413089353 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.
% 8.41/6.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.41/6.80 [W927 19:30:12.413101399 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.
% 8.41/6.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.41/6.80 [W927 19:30:12.413127913 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.
% 8.41/6.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.41/6.80 [W927 19:30:12.413139783 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.
% 8.41/6.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.41/6.80 [W927 19:30:12.413164896 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.
% 8.41/6.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.41/6.80 [W927 19:30:12.413175980 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.
% 8.41/6.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.41/6.80 [W927 19:30:12.413201310 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.
% 8.41/6.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.41/6.80 [W927 19:30:12.413221533 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.
% 8.41/6.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.41/6.80 % (3356161)------------------------------
% 8.41/6.80 % (3356161)------------------------------
% 8.41/6.80 % (3356169)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1715731329:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 8.41/6.80 % (3356169)Refutation not found, incomplete strategy
% 8.41/6.80 % (3356169)------------------------------
% 8.41/6.80 % (3356169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.41/6.80 % (3356169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.41/6.80 % (3356169)CaDiCaL version: 2.1.3
% 8.41/6.80 % (3356169)Termination reason: Refutation not found, incomplete strategy
% 8.41/6.80 % (3356169)Time elapsed: 0.003 s
% 8.41/6.80 % (3356169)Peak memory usage: 88 MB
% 8.41/6.80 % (3356169)Instructions burned: 9 (million)
% 8.41/6.80 % (3356166)Instruction limit reached!
% 8.41/6.80 % (3356166)------------------------------
% 8.41/6.80 % (3356166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.41/6.80 % (3356166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.41/6.80 % (3356166)CaDiCaL version: 2.1.3
% 8.41/6.80 % (3356166)Termination reason: Instruction limit
% 8.41/6.80 % (3356166)Termination phase: Saturation
% 8.41/6.80 % (3356166)Time elapsed: 0.121 s
% 8.41/6.80 % (3356166)Peak memory usage: 92 MB
% 8.41/6.80 % (3356166)Instructions burned: 249 (million)
% 8.41/6.80 % (3356148)Refutation not found, incomplete strategy
% 8.41/6.80 % (3356148)------------------------------
% 8.41/6.80 % (3356148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.41/6.80 % (3356148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.41/6.80 % (3356148)CaDiCaL version: 2.1.3
% 8.41/6.80 % (3356148)Termination reason: Refutation not found, incomplete strategy
% 8.41/6.80 % (3356148)Time elapsed: 0.553 s
% 8.41/6.80 % (3356148)Peak memory usage: 126 MB
% 8.41/6.80 % (3356148)Instructions burned: 830 (million)
% 8.41/6.80 % (3356170)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1894684452:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.41/6.80 % (3356149)Refutation not found, incomplete strategy
% 8.41/6.80 % (3356149)------------------------------
% 8.41/6.80 % (3356149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.41/6.80 % (3356149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.41/6.80 % (3356149)CaDiCaL version: 2.1.3
% 8.41/6.80 % (3356149)Termination reason: Refutation not found, incomplete strategy
% 8.41/6.80 % (3356149)Time elapsed: 0.608 s
% 8.41/6.80 % (3356149)Peak memory usage: 128 MB
% 8.41/6.80 % (3356149)Instructions burned: 909 (million)
% 8.41/6.80 % (3356165)------------------------------
% 8.41/6.80 % (3356165)------------------------------
% 8.41/6.80 % (3356169)------------------------------
% 8.41/6.80 % (3356169)------------------------------
% 8.41/6.80 % (3356172)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2502366537:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.41/6.80 % (3356172)Refutation not found, incomplete strategy
% 8.41/6.80 % (3356172)------------------------------
% 8.41/6.80 % (3356172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.41/6.80 % (3356172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.41/6.80 % (3356172)CaDiCaL version: 2.1.3
% 8.41/6.80 % (3356172)Termination reason: Refutation not found, incomplete strategy
% 8.41/6.80 % (3356172)Time elapsed: 0.002 s
% 8.41/6.80 % (3356172)Peak memory usage: 88 MB
% 8.41/6.80 % (3356172)Instructions burned: 2 (million)
% 8.41/6.80 % (3356175)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3655199992:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.41/6.80 % (3356175)Instruction limit reached!
% 8.41/6.80 % (3356175)------------------------------
% 8.41/6.80 % (3356175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.41/6.80 % (3356175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.41/6.80 % (3356175)CaDiCaL version: 2.1.3
% 8.41/6.80 % (3356175)Termination reason: Instruction limit
% 8.41/6.80 % (3356175)Termination phase: Saturation
% 8.41/6.80 % (3356175)Time elapsed: 0.031 s
% 8.41/6.80 % (3356175)Peak memory usage: 90 MB
% 8.41/6.80 % (3356175)Instructions burned: 116 (million)
% 8.41/6.80 % (3356174)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3354332435:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.41/6.80 % (3356174)First to succeed.
% 8.41/6.80 % (3356174)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3356142"
% 8.41/6.80 % (3356148)------------------------------
% 8.41/6.80 % (3356148)------------------------------
% 8.41/6.80 % (3356178)lrs+10_1_sil=8000:sp=occurrence:random_seed=3695493053:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.41/6.80 % (3356149)------------------------------
% 8.41/6.80 % (3356149)------------------------------
% 8.41/6.80 % (3356172)------------------------------
% 8.41/6.80 % (3356172)------------------------------
% 8.41/6.80 % (3356180)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1566041399:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.41/6.80 % (3356180)Refutation not found, incomplete strategy
% 8.41/6.80 % (3356180)------------------------------
% 8.41/6.80 % (3356180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.41/6.80 % (3356180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.41/6.80 % (3356180)CaDiCaL version: 2.1.3
% 8.41/6.80 % (3356180)Termination reason: Refutation not found, incomplete strategy
% 8.41/6.80 % (3356180)Time elapsed: 0.002 s
% 8.41/6.80 % (3356180)Peak memory usage: 88 MB
% 8.41/6.80 % (3356180)Instructions burned: 1 (million)
% 8.41/6.80 % (3356182)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1098109961:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.41/6.80 % (3356183)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3167316097:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 8.41/6.80 % (3356174)Refutation found. Thanks to Tanya!
% 8.41/6.80 % SZS status Theorem for theBenchmark
% 8.41/6.80 % SZS output start Proof for theBenchmark
% See solution above
% 8.52/6.99 % (3356174)------------------------------
% 8.52/6.99 % (3356174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.52/6.99 % (3356174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/6.99 % (3356174)CaDiCaL version: 2.1.3
% 8.52/6.99 % (3356174)Termination reason: Refutation
% 8.52/6.99 % (3356174)Time elapsed: 0.011 s
% 8.52/6.99 % (3356174)Peak memory usage: 88 MB
% 8.52/6.99 % (3356174)Instructions burned: 21 (million)
% 8.52/6.99 % (3356174)------------------------------
% 8.52/6.99 % (3356174)------------------------------
% 8.52/6.99 % (3356142)Success in time 1.164 s
% 8.52/6.99 % Vampire exiting
%------------------------------------------------------------------------------