%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL666+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 11:54:40 AM UTC 2026
% Result : Theorem 0.19s 1.80s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 10 unt; 2 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 73 ( 38 ~; 21 |; 12 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 9 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p201(X1)
& p101(X1) ) )
| ~ ( p201(X0)
& p101(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p201(X1)
& p101(X1) ) )
| ~ ( p201(X0)
& p101(X0) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p201(X1)
& p101(X1) ) )
| ~ ( p201(X0)
& p101(X0) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ p201(X1)
| ~ p101(X1) )
& p201(X0)
& p101(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ p201(X1)
| ~ p101(X1) )
& p201(X0)
& p101(X0) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
( ! [X1] :
( ~ r1(sK0,X1)
| ~ p201(X1)
| ~ p101(X1) )
& p201(sK0)
& p101(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f6]) ).
fof(f8,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f9,plain,
p101(sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
p201(sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X1] :
( ~ p101(X1)
| ~ p201(X1)
| ~ r1(sK0,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
( ~ p201(sK0)
| ~ r1(sK0,sK0) ),
inference(resolution,[],[f11,f9]) ).
fof(f14,definition,
( spl1_1
<=> r1(sK0,sK0) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f15,plain,
( ~ r1(sK0,sK0)
| spl1_1 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f17,definition,
( spl1_2
<=> p201(sK0) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f18,plain,
( ~ p201(sK0)
| spl1_2 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f19,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f12,f17,f14]) ).
fof(f20,plain,
( $false
| spl1_1 ),
inference(resolution,[],[f8,f15]) ).
fof(f21,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f20]) ).
fof(f22,plain,
( $false
| spl1_2 ),
inference(resolution,[],[f18,f10]) ).
fof(f23,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f22]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f19]) ).
cnf(s2,plain,
spl1_1,
inference(sat_conversion,[],[f21]) ).
cnf(s3,plain,
spl1_2,
inference(sat_conversion,[],[f23]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f24,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL666+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n014.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 16:27:01 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 0.19/1.80 % (986443)Detected formulas, will run a generic FOF schedule.
% 0.19/1.80 % (986463)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=3426342952:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.19/1.80 % (986467)dis-21_1_sil=8000:lcm=predicate:random_seed=3026445697: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)
% 0.19/1.80 % (986467)First to succeed.
% 0.19/1.80 % (986467)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-986443"
% 0.19/1.80 % (986465)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=288028660:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.19/1.80 % (986464)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3599182385:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.19/1.80 % (986462)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=3811528107:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.19/1.80 % (986461)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=2144277027:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.19/1.80 % (986465)Also succeeded, but the first one will report.
% 0.19/1.80 % (986464)Also succeeded, but the first one will report.
% 0.19/1.80 % (986466)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3263779002:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.19/1.80 % (986466)Also succeeded, but the first one will report.
% 0.19/1.80 % (986467)Refutation found. Thanks to Tanya!
% 0.19/1.80 % SZS status Theorem for theBenchmark
% 0.19/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.80 % (986467)------------------------------
% 0.19/1.80 % (986467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.80 % (986467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.80 % (986467)CaDiCaL version: 2.1.3
% 0.19/1.80 % (986467)Termination reason: Refutation
% 0.19/1.80 % (986467)Time elapsed: 0.025 s
% 0.19/1.80 % (986467)Peak memory usage: 89 MB
% 0.19/1.80 % (986467)------------------------------
% 0.19/1.80 % (986467)------------------------------
% 0.19/1.80 % (986443)Success in time 0.582 s
% 0.19/1.80 % Vampire exiting
%------------------------------------------------------------------------------