%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM331+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:12:11 PM UTC 2026
% Result : Theorem 9.65s 2.34s
% Output : Refutation 9.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 51 ( 23 unt; 0 def)
% Number of atoms : 118 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 121 ( 54 ~; 48 |; 14 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 102 ( 98 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
rdn_translate(n6,rdn_pos(rdnn(n6))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn6) ).
fof(f8,axiom,
rdn_translate(n7,rdn_pos(rdnn(n7))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn7) ).
fof(f14,axiom,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn13) ).
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/sandbox2/benchmark/theBenchmark.p',sum_entry_point_pos_pos) ).
fof(f293,axiom,
! [X0,X1,X2,X3] :
( ( sum(X0,X1,X2)
& sum(X0,X1,X3) )
=> X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_sum) ).
fof(f298,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(X5))
& rdn_digit_add(rdnn(X3),rdnn(X0),rdnn(X4),rdnn(X6))
& rdn_digit_add(rdnn(X5),rdnn(X6),rdnn(n1),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdn(rdnn(X4),rdnn(n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_digit_digit_rdn) ).
fof(f312,axiom,
rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n1_n0_n1_n0) ).
fof(f332,axiom,
rdn_digit_add(rdnn(n3),rdnn(n0),rdnn(n3),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n3_n0_n3_n0) ).
fof(f369,axiom,
rdn_digit_add(rdnn(n6),rdnn(n7),rdnn(n3),rdnn(n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n6_n7_n3_n1) ).
fof(f378,axiom,
rdn_digit_add(rdnn(n7),rdnn(n6),rdnn(n3),rdnn(n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n7_n6_n3_n1) ).
fof(f402,conjecture,
! [X0,X1] :
( ( sum(n6,n7,X0)
& sum(n7,n6,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',communative_sum_n6_n7) ).
fof(f403,negated_conjecture,
~ ! [X0,X1] :
( ( sum(n6,n7,X0)
& sum(n7,n6,X1) )
=> X0 = X1 ),
inference(negated_conjecture,[status(cth)],[f402]) ).
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(f435,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3) ),
inference(ennf_transformation,[],[f293]) ).
fof(f436,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3) ),
inference(flattening,[],[f435]) ).
fof(f443,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdn(rdnn(X4),rdnn(n1)))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(X5))
| ~ rdn_digit_add(rdnn(X3),rdnn(X0),rdnn(X4),rdnn(X6))
| ~ rdn_digit_add(rdnn(X5),rdnn(X6),rdnn(n1),rdnn(n0)) ),
inference(ennf_transformation,[],[f298]) ).
fof(f444,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdn(rdnn(X4),rdnn(n1)))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(X5))
| ~ rdn_digit_add(rdnn(X3),rdnn(X0),rdnn(X4),rdnn(X6))
| ~ rdn_digit_add(rdnn(X5),rdnn(X6),rdnn(n1),rdnn(n0)) ),
inference(flattening,[],[f443]) ).
fof(f450,plain,
? [X0,X1] :
( X0 != X1
& sum(n6,n7,X0)
& sum(n7,n6,X1) ),
inference(ennf_transformation,[],[f403]) ).
fof(f451,plain,
? [X0,X1] :
( X0 != X1
& sum(n6,n7,X0)
& sum(n7,n6,X1) ),
inference(flattening,[],[f450]) ).
fof(f455,plain,
( sK0 != sK1
& sum(n6,n7,sK0)
& sum(n7,n6,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f451]) ).
fof(f462,plain,
rdn_translate(n6,rdn_pos(rdnn(n6))),
inference(cnf_transformation,[],[f7]) ).
fof(f463,plain,
rdn_translate(n7,rdn_pos(rdnn(n7))),
inference(cnf_transformation,[],[f8]) ).
fof(f469,plain,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
inference(cnf_transformation,[],[f14]) ).
fof(f744,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(cnf_transformation,[],[f424]) ).
fof(f750,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
inference(cnf_transformation,[],[f436]) ).
fof(f756,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_digit_add(rdnn(X5),rdnn(X6),rdnn(n1),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(X5))
| ~ rdn_digit_add(rdnn(X3),rdnn(X0),rdnn(X4),rdnn(X6))
| rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdn(rdnn(X4),rdnn(n1))) ),
inference(cnf_transformation,[],[f444]) ).
fof(f770,plain,
rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0)),
inference(cnf_transformation,[],[f312]) ).
fof(f790,plain,
rdn_digit_add(rdnn(n3),rdnn(n0),rdnn(n3),rdnn(n0)),
inference(cnf_transformation,[],[f332]) ).
fof(f827,plain,
rdn_digit_add(rdnn(n6),rdnn(n7),rdnn(n3),rdnn(n1)),
inference(cnf_transformation,[],[f369]) ).
fof(f836,plain,
rdn_digit_add(rdnn(n7),rdnn(n6),rdnn(n3),rdnn(n1)),
inference(cnf_transformation,[],[f378]) ).
fof(f860,plain,
sum(n7,n6,sK1),
inference(cnf_transformation,[],[f455]) ).
fof(f861,plain,
sum(n6,n7,sK0),
inference(cnf_transformation,[],[f455]) ).
fof(f862,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f455]) ).
fof(f866,plain,
! [X0] :
( ~ sum(n7,n6,X0)
| sK1 = X0 ),
inference(resolution,[],[f750,f860]) ).
fof(f867,plain,
! [X0] :
( ~ sum(n6,n7,X0)
| sK0 = X0 ),
inference(resolution,[],[f750,f861]) ).
fof(f1604,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n1))
| rdn_add_with_carry(rdnn(X3),rdnn(X0),rdnn(X1),rdn(rdnn(X4),rdnn(n1))) ),
inference(resolution,[],[f756,f770]) ).
fof(f1608,plain,
! [X0,X1] :
( rdn_add_with_carry(rdnn(n0),rdnn(X0),rdnn(X1),rdn(rdnn(n3),rdnn(n1)))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n3),rdnn(n1)) ),
inference(resolution,[],[f1604,f790]) ).
fof(f6005,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n3),rdnn(n1))
| ~ rdn_translate(X2,rdn_pos(rdnn(X0)))
| ~ rdn_translate(X3,rdn_pos(rdnn(X1)))
| sum(X2,X3,X4)
| ~ rdn_translate(X4,rdn_pos(rdn(rdnn(n3),rdnn(n1)))) ),
inference(resolution,[],[f1608,f744]) ).
fof(f6024,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X2,rdn_pos(rdn(rdnn(n3),rdnn(n1))))
| ~ rdn_translate(X1,rdn_pos(rdnn(n6)))
| sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(rdnn(n7))) ),
inference(resolution,[],[f6005,f836]) ).
fof(f6025,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X2,rdn_pos(rdn(rdnn(n3),rdnn(n1))))
| ~ rdn_translate(X1,rdn_pos(rdnn(n7)))
| sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(rdnn(n6))) ),
inference(resolution,[],[f6005,f827]) ).
fof(f6028,plain,
! [X0,X1] :
( ~ rdn_translate(X1,rdn_pos(rdnn(n7)))
| sum(X1,X0,n13)
| ~ rdn_translate(X0,rdn_pos(rdnn(n6))) ),
inference(resolution,[],[f6024,f469]) ).
fof(f6029,plain,
! [X0,X1] :
( ~ rdn_translate(X1,rdn_pos(rdnn(n6)))
| sum(X1,X0,n13)
| ~ rdn_translate(X0,rdn_pos(rdnn(n7))) ),
inference(resolution,[],[f6025,f469]) ).
fof(f6035,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n7)))
| sum(n6,X0,n13) ),
inference(resolution,[],[f6029,f462]) ).
fof(f6036,plain,
sum(n6,n7,n13),
inference(resolution,[],[f6035,f463]) ).
fof(f6037,plain,
n13 = sK0,
inference(resolution,[],[f6036,f867]) ).
fof(f6051,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n6)))
| sum(n7,X0,n13) ),
inference(resolution,[],[f6028,f463]) ).
fof(f6052,plain,
sum(n7,n6,n13),
inference(resolution,[],[f6051,f462]) ).
fof(f6053,plain,
n13 = sK1,
inference(resolution,[],[f6052,f866]) ).
fof(f6060,plain,
n13 != sK0,
inference(superposition,[],[f862,f6053]) ).
fof(f6067,plain,
$false,
inference(forward_subsumption_resolution,[],[f6060,f6037]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM331+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 19:36:52 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.62/2.05 % (3831325)Detected formulas, will run a generic FOF schedule.
% 8.62/2.05 % (3831330)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=3032642635:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.62/2.05 % (3831334)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1165886033:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.62/2.05 % (3831336)dis-21_1_sil=8000:lcm=predicate:random_seed=3165139020: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)
% 8.62/2.05 % (3831333)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2249976632:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.62/2.05 % (3831332)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=3428369992:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.62/2.05 % (3831331)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=341426532:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.62/2.05 % (3831335)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1559813987:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.62/2.05 % (3831333)Refutation not found, incomplete strategy
% 8.62/2.05 % (3831333)------------------------------
% 8.62/2.05 % (3831333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.05 % (3831333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.05 % (3831333)CaDiCaL version: 2.1.3
% 8.62/2.05 % (3831333)Termination reason: Refutation not found, incomplete strategy
% 8.62/2.05 % (3831333)Time elapsed: 0.003 s
% 8.62/2.05 % (3831333)Peak memory usage: 88 MB
% 8.62/2.05 % (3831333)Instructions burned: 3 (million)
% 8.62/2.05 % (3831334)Instruction limit reached!
% 8.62/2.05 % (3831334)------------------------------
% 8.62/2.05 % (3831334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.05 % (3831334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.05 % (3831334)CaDiCaL version: 2.1.3
% 8.62/2.05 % (3831334)Termination reason: Instruction limit
% 8.62/2.05 % (3831334)Termination phase: Saturation
% 8.62/2.05 % (3831334)Time elapsed: 0.067 s
% 8.62/2.05 % (3831334)Peak memory usage: 88 MB
% 8.62/2.05 % (3831334)Instructions burned: 120 (million)
% 8.62/2.05 % (3831336)Instruction limit reached!
% 8.62/2.05 % (3831336)------------------------------
% 8.62/2.05 % (3831336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.05 % (3831336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.05 % (3831336)CaDiCaL version: 2.1.3
% 8.62/2.05 % (3831336)Termination reason: Instruction limit
% 8.62/2.05 % (3831336)Termination phase: Saturation
% 8.62/2.05 % (3831336)Time elapsed: 0.075 s
% 8.62/2.05 % (3831336)Peak memory usage: 89 MB
% 8.62/2.05 % (3831336)Instructions burned: 130 (million)
% 8.62/2.05 % (3831335)Instruction limit reached!
% 8.62/2.05 % (3831335)------------------------------
% 8.62/2.05 % (3831335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.05 % (3831335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.05 % (3831335)CaDiCaL version: 2.1.3
% 8.62/2.05 % (3831335)Termination reason: Instruction limit
% 8.62/2.05 % (3831335)Termination phase: Saturation
% 8.62/2.05 % (3831335)Time elapsed: 0.087 s
% 8.62/2.05 % (3831335)Peak memory usage: 90 MB
% 8.62/2.05 % (3831335)Instructions burned: 139 (million)
% 8.62/2.05 % (3831344)lrs+10_1_sil=8000:sp=occurrence:random_seed=3396068612:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.62/2.05 % (3831344)Refutation not found, incomplete strategy
% 8.62/2.05 % (3831344)------------------------------
% 8.62/2.05 % (3831344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.05 % (3831344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.05 % (3831344)CaDiCaL version: 2.1.3
% 8.62/2.05 % (3831344)Termination reason: Refutation not found, incomplete strategy
% 8.62/2.05 % (3831344)Time elapsed: 0.008 s
% 8.62/2.05 % (3831344)Peak memory usage: 88 MB
% 8.62/2.05 % (3831344)Instructions burned: 12 (million)
% 8.62/2.05 % (3831345)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1338511562:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.00/2.15 % (3831345)Refutation not found, incomplete strategy
% 7.00/2.15 % (3831345)------------------------------
% 7.00/2.15 % (3831345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.15 % (3831345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.15 % (3831345)CaDiCaL version: 2.1.3
% 7.00/2.15 % (3831345)Termination reason: Refutation not found, incomplete strategy
% 7.00/2.15 % (3831345)Time elapsed: 0.004 s
% 7.00/2.15 % (3831345)Peak memory usage: 88 MB
% 7.00/2.15 % (3831345)Instructions burned: 6 (million)
% 7.00/2.15 % (3831346)lrs+1011_1_sil=32000:sp=occurrence:random_seed=353186876:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.00/2.15 % (3831346)Refutation not found, incomplete strategy
% 7.00/2.15 % (3831346)------------------------------
% 7.00/2.15 % (3831346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.15 % (3831346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.15 % (3831346)CaDiCaL version: 2.1.3
% 7.00/2.15 % (3831346)Termination reason: Refutation not found, incomplete strategy
% 7.00/2.15 % (3831346)Time elapsed: 0.004 s
% 7.00/2.15 % (3831346)Peak memory usage: 88 MB
% 7.00/2.15 % (3831346)Instructions burned: 4 (million)
% 7.00/2.15 % (3831333)------------------------------
% 7.00/2.15 % (3831333)------------------------------
% 7.00/2.15 % (3831350)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=4081861323:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.00/2.15 % (3831344)------------------------------
% 7.00/2.15 % (3831344)------------------------------
% 7.00/2.15 % (3831345)------------------------------
% 7.00/2.15 % (3831345)------------------------------
% 7.00/2.15 % (3831346)------------------------------
% 7.00/2.15 % (3831346)------------------------------
% 7.00/2.15 % (3831350)Instruction limit reached!
% 7.00/2.15 % (3831350)------------------------------
% 7.00/2.15 % (3831350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.15 % (3831350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.15 % (3831350)CaDiCaL version: 2.1.3
% 7.00/2.15 % (3831350)Termination reason: Instruction limit
% 7.00/2.15 % (3831350)Termination phase: Saturation
% 7.00/2.15 % (3831350)Time elapsed: 0.130 s
% 7.00/2.15 % (3831350)Peak memory usage: 90 MB
% 7.00/2.15 % (3831350)Instructions burned: 248 (million)
% 7.00/2.15 % (3831353)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1986106843:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.00/2.15 % (3831352)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3695321120:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.00/2.15 % (3831352)Refutation not found, incomplete strategy
% 7.00/2.15 % (3831352)------------------------------
% 7.00/2.15 % (3831352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.15 % (3831352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.15 % (3831352)CaDiCaL version: 2.1.3
% 7.00/2.15 % (3831352)Termination reason: Refutation not found, incomplete strategy
% 7.00/2.15 % (3831352)Time elapsed: 0.007 s
% 7.00/2.15 % (3831352)Peak memory usage: 89 MB
% 7.00/2.15 % (3831352)Instructions burned: 11 (million)
% 7.00/2.15 % (3831354)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1371794573:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.00/2.15 % (3831354)Refutation not found, incomplete strategy
% 7.00/2.15 % (3831354)------------------------------
% 7.00/2.15 % (3831354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.15 % (3831354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.15 % (3831354)CaDiCaL version: 2.1.3
% 7.00/2.15 % (3831354)Termination reason: Refutation not found, incomplete strategy
% 7.00/2.15 % (3831354)Time elapsed: 0.004 s
% 7.00/2.15 % (3831354)Peak memory usage: 89 MB
% 7.00/2.15 % (3831354)Instructions burned: 4 (million)
% 7.00/2.15 % (3831332)Refutation not found, incomplete strategy
% 7.00/2.15 % (3831332)------------------------------
% 7.00/2.15 % (3831332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.15 % (3831332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.15 % (3831332)CaDiCaL version: 2.1.3
% 7.00/2.15 % (3831332)Termination reason: Refutation not found, incomplete strategy
% 7.00/2.15 % (3831332)Time elapsed: 0.625 s
% 7.00/2.15 % (3831332)Peak memory usage: 129 MB
% 7.00/2.15 % (3831332)Instructions burned: 927 (million)
% 7.00/2.15 % (3831355)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=617201903:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.00/2.15 % (3831355)Instruction limit reached!
% 7.00/2.15 % (3831355)------------------------------
% 7.00/2.15 % (3831355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.15 % (3831355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.15 % (3831355)CaDiCaL version: 2.1.3
% 7.00/2.15 % (3831355)Termination reason: Instruction limit
% 7.00/2.15 % (3831355)Termination phase: Saturation
% 7.00/2.15 % (3831355)Time elapsed: 0.057 s
% 7.00/2.15 % (3831355)Peak memory usage: 88 MB
% 7.00/2.15 % (3831355)Instructions burned: 128 (million)
% 7.00/2.15 % (3831331)Refutation not found, incomplete strategy
% 7.00/2.15 % (3831331)------------------------------
% 7.00/2.15 % (3831331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.15 % (3831331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.15 % (3831331)CaDiCaL version: 2.1.3
% 7.00/2.15 % (3831331)Termination reason: Refutation not found, incomplete strategy
% 7.00/2.15 % (3831331)Time elapsed: 0.738 s
% 7.00/2.15 % (3831331)Peak memory usage: 130 MB
% 7.00/2.15 % (3831331)Instructions burned: 1081 (million)
% 7.00/2.15 % (3831352)------------------------------
% 7.00/2.15 % (3831352)------------------------------
% 7.00/2.15 % (3831354)------------------------------
% 7.00/2.15 % (3831354)------------------------------
% 7.00/2.15 % (3831360)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1705950101:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.00/2.15 % (3831332)------------------------------
% 7.00/2.15 % (3831332)------------------------------
% 7.00/2.15 % (3831360)Instruction limit reached!
% 7.00/2.15 % (3831360)------------------------------
% 7.00/2.15 % (3831360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.15 % (3831360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.15 % (3831360)CaDiCaL version: 2.1.3
% 7.00/2.15 % (3831360)Termination reason: Instruction limit
% 7.00/2.15 % (3831360)Termination phase: Saturation
% 7.00/2.15 % (3831360)Time elapsed: 0.055 s
% 7.00/2.15 % (3831360)Peak memory usage: 89 MB
% 7.00/2.15 % (3831360)Instructions burned: 115 (million)
% 7.00/2.15 % (3831361)lrs+10_1_sil=8000:sp=occurrence:random_seed=626750679:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.00/2.15 % (3831362)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1508013653:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.00/2.15 % (3831362)Refutation not found, incomplete strategy
% 7.00/2.15 % (3831362)------------------------------
% 7.00/2.15 % (3831362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.15 % (3831362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.15 % (3831362)CaDiCaL version: 2.1.3
% 7.00/2.15 % (3831362)Termination reason: Refutation not found, incomplete strategy
% 7.00/2.15 % (3831362)Time elapsed: 0.004 s
% 7.00/2.15 % (3831362)Peak memory usage: 89 MB
% 7.00/2.15 % (3831362)Instructions burned: 3 (million)
% 7.00/2.15 % (3831330)First to succeed.
% 7.00/2.15 % (3831330)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3831325"
% 7.00/2.15 % (3831331)------------------------------
% 7.00/2.15 % (3831331)------------------------------
% 7.00/2.15 % (3831364)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1519919213:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.00/2.15 % (3831365)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3914704594:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 7.00/2.15 % (3831365)Refutation not found, incomplete strategy
% 7.00/2.15 % (3831365)------------------------------
% 7.00/2.15 % (3831365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.15 % (3831365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.15 % (3831365)CaDiCaL version: 2.1.3
% 9.65/2.34 % (3831365)Termination reason: Refutation not found, incomplete strategy
% 9.65/2.34 % (3831365)Time elapsed: 0.003 s
% 9.65/2.34 % (3831365)Peak memory usage: 89 MB
% 9.65/2.34 % (3831365)Instructions burned: 3 (million)
% 9.65/2.34 % (3831330)Refutation found. Thanks to Tanya!
% 9.65/2.34 % SZS status Theorem for theBenchmark
% 9.65/2.34 % SZS output start Proof for theBenchmark
% See solution above
% 9.65/2.35 % (3831330)------------------------------
% 9.65/2.35 % (3831330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.65/2.35 % (3831330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/2.35 % (3831330)CaDiCaL version: 2.1.3
% 9.65/2.35 % (3831330)Termination reason: Refutation
% 9.65/2.35 % (3831330)Time elapsed: 1.008 s
% 9.65/2.35 % (3831330)Peak memory usage: 144 MB
% 9.65/2.35 % (3831330)Instructions burned: 2428 (million)
% 9.65/2.35 % (3831330)------------------------------
% 9.65/2.35 % (3831330)------------------------------
% 9.65/2.35 % (3831325)Success in time 1.29 s
% 9.65/2.35 % Vampire exiting
%------------------------------------------------------------------------------