%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM292+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 : n013.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 12:12:06 PM UTC 2026
% Result : Theorem 8.76s 2.22s
% Output : Refutation 8.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 24 ~; 16 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn2) ).
fof(f14,axiom,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn13) ).
fof(f257,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit1) ).
fof(f278,axiom,
! [X0,X1,X2] :
( rdn_non_zero(X2)
=> rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_extra_digits_positive_less) ).
fof(f279,axiom,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
fof(f281,axiom,
! [X0,X1,X2,X3] :
( ( rdn_translate(X0,rdn_pos(X2))
& rdn_translate(X1,rdn_pos(X3))
& rdn_positive_less(X2,X3) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f402,conjecture,
less(n2,n13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n2_less_n13) ).
fof(f403,negated_conjecture,
~ less(n2,n13),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f404,plain,
~ less(n2,n13),
inference(flattening,[],[f403]) ).
fof(f411,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(ennf_transformation,[],[f278]) ).
fof(f412,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f279]) ).
fof(f414,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(ennf_transformation,[],[f281]) ).
fof(f415,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(flattening,[],[f414]) ).
fof(f456,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f3]) ).
fof(f467,plain,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
inference(cnf_transformation,[],[f14]) ).
fof(f710,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(cnf_transformation,[],[f257]) ).
fof(f731,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(cnf_transformation,[],[f411]) ).
fof(f732,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(cnf_transformation,[],[f412]) ).
fof(f734,plain,
! [X2,X3,X0,X1] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(cnf_transformation,[],[f415]) ).
fof(f858,plain,
~ less(n2,n13),
inference(cnf_transformation,[],[f404]) ).
fof(f864,plain,
! [X0,X1] :
( ~ rdn_translate(n13,rdn_pos(X1))
| ~ rdn_translate(n2,rdn_pos(X0))
| ~ rdn_positive_less(X0,X1) ),
inference(resolution,[],[f858,f734]) ).
fof(f893,plain,
! [X0] :
( ~ rdn_translate(n2,rdn_pos(X0))
| ~ rdn_positive_less(X0,rdn(rdnn(n3),rdnn(n1))) ),
inference(resolution,[],[f864,f467]) ).
fof(f941,plain,
~ rdn_positive_less(rdnn(n2),rdn(rdnn(n3),rdnn(n1))),
inference(resolution,[],[f893,f456]) ).
fof(f974,plain,
~ rdn_non_zero(rdnn(n1)),
inference(resolution,[],[f941,f731]) ).
fof(f975,plain,
~ rdn_non_zero_digit(rdnn(n1)),
inference(resolution,[],[f974,f732]) ).
fof(f977,plain,
$false,
inference(resolution,[],[f975,f710]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM292+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 19:28:07 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 5.97/2.03 % (504199)Detected formulas, will run a generic FOF schedule.
% 5.97/2.03 % (504206)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=3955517084:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.97/2.03 % (504209)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3723307929:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.97/2.03 % (504210)dis-21_1_sil=8000:lcm=predicate:random_seed=4007561931: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)
% 5.97/2.03 % (504205)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=519916233:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.97/2.03 % (504208)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=23159884:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.97/2.03 % (504204)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=1472492467:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.97/2.03 % (504207)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=654457907:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.97/2.03 % (504207)Refutation not found, incomplete strategy
% 5.97/2.03 % (504207)------------------------------
% 5.97/2.03 % (504207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/2.03 % (504207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/2.03 % (504207)CaDiCaL version: 2.1.3
% 5.97/2.03 % (504207)Termination reason: Refutation not found, incomplete strategy
% 5.97/2.03 % (504207)Time elapsed: 0.002 s
% 5.97/2.03 % (504207)Peak memory usage: 87 MB
% 5.97/2.03 % (504207)Instructions burned: 1 (million)
% 5.97/2.03 % (504210)Instruction limit reached!
% 5.97/2.03 % (504210)------------------------------
% 5.97/2.03 % (504210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/2.03 % (504210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/2.03 % (504210)CaDiCaL version: 2.1.3
% 5.97/2.03 % (504210)Termination reason: Instruction limit
% 5.97/2.03 % (504210)Termination phase: Saturation
% 5.97/2.03 % (504210)Time elapsed: 0.055 s
% 5.97/2.03 % (504210)Peak memory usage: 88 MB
% 5.97/2.03 % (504210)Instructions burned: 129 (million)
% 5.97/2.03 % (504208)Instruction limit reached!
% 5.97/2.03 % (504208)------------------------------
% 5.97/2.03 % (504208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/2.03 % (504208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/2.03 % (504208)CaDiCaL version: 2.1.3
% 5.97/2.03 % (504208)Termination reason: Instruction limit
% 5.97/2.03 % (504208)Termination phase: Saturation
% 5.97/2.03 % (504208)Time elapsed: 0.062 s
% 5.97/2.03 % (504208)Peak memory usage: 87 MB
% 5.97/2.03 % (504208)Instructions burned: 121 (million)
% 5.97/2.03 % (504209)Instruction limit reached!
% 5.97/2.03 % (504209)------------------------------
% 5.97/2.03 % (504209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/2.03 % (504209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/2.03 % (504209)CaDiCaL version: 2.1.3
% 5.97/2.03 % (504209)Termination reason: Instruction limit
% 5.97/2.03 % (504209)Termination phase: Saturation
% 5.97/2.03 % (504209)Time elapsed: 0.077 s
% 5.97/2.03 % (504209)Peak memory usage: 89 MB
% 5.97/2.03 % (504209)Instructions burned: 139 (million)
% 5.97/2.03 % (504218)lrs+10_1_sil=8000:sp=occurrence:random_seed=2162607280:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.97/2.03 % (504218)Refutation not found, incomplete strategy
% 5.97/2.03 % (504218)------------------------------
% 5.97/2.03 % (504218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/2.03 % (504218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/2.03 % (504218)CaDiCaL version: 2.1.3
% 5.97/2.03 % (504218)Termination reason: Refutation not found, incomplete strategy
% 5.97/2.03 % (504218)Time elapsed: 0.012 s
% 5.97/2.03 % (504218)Peak memory usage: 88 MB
% 5.97/2.03 % (504218)Instructions burned: 17 (million)
% 5.97/2.03 % (504219)lrs+10_1_sil=32000:urr=on:br=off:random_seed=893471281:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.76/2.22 % (504219)Refutation not found, incomplete strategy
% 8.76/2.22 % (504219)------------------------------
% 8.76/2.22 % (504219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.22 % (504219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.22 % (504219)CaDiCaL version: 2.1.3
% 8.76/2.22 % (504219)Termination reason: Refutation not found, incomplete strategy
% 8.76/2.22 % (504219)Time elapsed: 0.004 s
% 8.76/2.22 % (504219)Peak memory usage: 88 MB
% 8.76/2.22 % (504219)Instructions burned: 5 (million)
% 8.76/2.22 % (504220)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3205606548:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.76/2.22 % (504207)------------------------------
% 8.76/2.22 % (504207)------------------------------
% 8.76/2.22 % (504220)Refutation not found, incomplete strategy
% 8.76/2.22 % (504220)------------------------------
% 8.76/2.22 % (504220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.22 % (504220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.22 % (504220)CaDiCaL version: 2.1.3
% 8.76/2.22 % (504220)Termination reason: Refutation not found, incomplete strategy
% 8.76/2.22 % (504220)Time elapsed: 0.002 s
% 8.76/2.22 % (504220)Peak memory usage: 88 MB
% 8.76/2.22 % (504220)Instructions burned: 2 (million)
% 8.76/2.22 % (504206)Refutation not found, incomplete strategy
% 8.76/2.22 % (504206)------------------------------
% 8.76/2.22 % (504206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.22 % (504206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.22 % (504206)CaDiCaL version: 2.1.3
% 8.76/2.22 % (504206)Termination reason: Refutation not found, incomplete strategy
% 8.76/2.22 % (504206)Time elapsed: 0.376 s
% 8.76/2.22 % (504206)Peak memory usage: 129 MB
% 8.76/2.22 % (504206)Instructions burned: 907 (million)
% 8.76/2.22 % (504224)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=1546502137:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.76/2.22 % (504218)------------------------------
% 8.76/2.22 % (504218)------------------------------
% 8.76/2.22 % (504219)------------------------------
% 8.76/2.22 % (504219)------------------------------
% 8.76/2.22 % (504220)------------------------------
% 8.76/2.22 % (504220)------------------------------
% 8.76/2.22 % (504224)Instruction limit reached!
% 8.76/2.22 % (504224)------------------------------
% 8.76/2.22 % (504224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.22 % (504224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.22 % (504224)CaDiCaL version: 2.1.3
% 8.76/2.22 % (504224)Termination reason: Instruction limit
% 8.76/2.22 % (504224)Termination phase: Saturation
% 8.76/2.22 % (504224)Time elapsed: 0.130 s
% 8.76/2.22 % (504224)Peak memory usage: 91 MB
% 8.76/2.22 % (504224)Instructions burned: 248 (million)
% 8.76/2.22 % (504206)------------------------------
% 8.76/2.22 % (504206)------------------------------
% 8.76/2.22 % (504226)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1204421738:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 8.76/2.22 % (504226)Refutation not found, incomplete strategy
% 8.76/2.22 % (504226)------------------------------
% 8.76/2.22 % (504226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.22 % (504226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.22 % (504226)CaDiCaL version: 2.1.3
% 8.76/2.22 % (504226)Termination reason: Refutation not found, incomplete strategy
% 8.76/2.22 % (504226)Time elapsed: 0.003 s
% 8.76/2.22 % (504226)Peak memory usage: 88 MB
% 8.76/2.22 % (504226)Instructions burned: 4 (million)
% 8.76/2.22 % (504227)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3286572099:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 8.76/2.22 % (504205)Refutation not found, incomplete strategy
% 8.76/2.22 % (504205)------------------------------
% 8.76/2.22 % (504205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.22 % (504205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.22 % (504205)CaDiCaL version: 2.1.3
% 8.76/2.22 % (504205)Termination reason: Refutation not found, incomplete strategy
% 8.76/2.22 % (504205)Time elapsed: 0.651 s
% 8.76/2.22 % (504205)Peak memory usage: 129 MB
% 8.76/2.22 % (504205)Instructions burned: 1104 (million)
% 8.76/2.22 % (504228)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3449030454:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.76/2.22 % (504228)Refutation not found, incomplete strategy
% 8.76/2.22 % (504228)------------------------------
% 8.76/2.22 % (504228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.22 % (504228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.22 % (504228)CaDiCaL version: 2.1.3
% 8.76/2.22 % (504228)Termination reason: Refutation not found, incomplete strategy
% 8.76/2.22 % (504228)Time elapsed: 0.003 s
% 8.76/2.22 % (504228)Peak memory usage: 89 MB
% 8.76/2.22 % (504228)Instructions burned: 2 (million)
% 8.76/2.22 % (504229)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2176465403:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.76/2.22 % (504229)First to succeed.
% 8.76/2.22 % (504229)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-504199"
% 8.76/2.22 % (504204)Also succeeded, but the first one will report.
% 8.76/2.22 % (504230)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1150102731:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.76/2.22 % (504230)Refutation not found, incomplete strategy
% 8.76/2.22 % (504230)------------------------------
% 8.76/2.22 % (504230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.22 % (504230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.22 % (504230)CaDiCaL version: 2.1.3
% 8.76/2.22 % (504230)Termination reason: Refutation not found, incomplete strategy
% 8.76/2.22 % (504230)Time elapsed: 0.013 s
% 8.76/2.22 % (504230)Peak memory usage: 88 MB
% 8.76/2.22 % (504230)Instructions burned: 25 (million)
% 8.76/2.22 % (504205)------------------------------
% 8.76/2.22 % (504205)------------------------------
% 8.76/2.22 % (504226)------------------------------
% 8.76/2.22 % (504226)------------------------------
% 8.76/2.22 % (504228)------------------------------
% 8.76/2.22 % (504228)------------------------------
% 8.76/2.22 % (504236)lrs+10_1_sil=8000:sp=occurrence:random_seed=396247546:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 8.76/2.22 % (504236)Also succeeded, but the first one will report.
% 8.76/2.22 % (504229)Refutation found. Thanks to Tanya!
% 8.76/2.22 % SZS status Theorem for theBenchmark
% 8.76/2.22 % SZS output start Proof for theBenchmark
% See solution above
% 8.76/2.22 % (504229)------------------------------
% 8.76/2.22 % (504229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.22 % (504229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.22 % (504229)CaDiCaL version: 2.1.3
% 8.76/2.22 % (504229)Termination reason: Refutation
% 8.76/2.22 % (504229)Time elapsed: 0.009 s
% 8.76/2.22 % (504229)Peak memory usage: 88 MB
% 8.76/2.22 % (504229)Instructions burned: 16 (million)
% 8.76/2.22 % (504229)------------------------------
% 8.76/2.22 % (504229)------------------------------
% 8.76/2.22 % (504199)Success in time 1.165 s
% 8.76/2.22 % Vampire exiting
%------------------------------------------------------------------------------