%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT034-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 11:45:52 AM UTC 2026
% Result : Unsatisfiable 2.43s 1.07s
% Output : Refutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 11 unt; 1 def)
% Number of atoms : 17 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 2 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f2,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f7,negated_conjecture,
meet(xx,xx) != xx,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f8,plain,
xx != meet(xx,xx),
inference(reorient_equations,[],[f7]) ).
fof(f10,definition,
( spl0_1
<=> xx = meet(xx,xx) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f12,plain,
( xx != meet(xx,xx)
| spl0_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f13,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f8,f10]) ).
fof(f15,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f1,f2]) ).
fof(f16,plain,
( $false
| spl0_1 ),
inference(backward_subsumption_resolution,[],[f12,f15]) ).
fof(f17,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f16]) ).
cnf(s1,plain,
~ spl0_1,
inference(sat_conversion,[],[f13]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f17]) ).
cnf(s3,plain,
$false,
inference(rat,[],[s1,s2]) ).
fof(f18,plain,
$false,
inference(avatar_sat_refutation,[],[s3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT034-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 14:00:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 2.43/1.07 % (1689941)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.43/1.07 % (1689951)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2594255429:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 2.43/1.07 % (1689951)First to succeed.
% 2.43/1.07 % (1689951)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1689941"
% 2.43/1.07 % (1689948)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2362860547:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 2.43/1.07 % (1689952)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2630641499:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 2.43/1.07 % (1689947)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=745536603:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 2.43/1.07 % (1689949)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3234364521:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 2.43/1.07 % (1689946)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1521042758:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 2.43/1.07 % (1689950)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3925087328:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 2.43/1.07 % (1689952)Also succeeded, but the first one will report.
% 2.43/1.07 % (1689949)Also succeeded, but the first one will report.
% 2.43/1.07 % (1689950)Also succeeded, but the first one will report.
% 2.43/1.07 % (1689951)Refutation found. Thanks to Tanya!
% 2.43/1.07 % SZS status Unsatisfiable for theBenchmark
% 2.43/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 2.43/1.07 % (1689951)------------------------------
% 2.43/1.07 % (1689951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.43/1.07 % (1689951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/1.07 % (1689951)CaDiCaL version: 2.1.3
% 2.43/1.07 % (1689951)Termination reason: Refutation
% 2.43/1.07 % (1689951)Time elapsed: 0.001 s
% 2.43/1.07 % (1689951)Peak memory usage: 88 MB
% 2.43/1.07 % (1689951)Instructions burned: 1 (million)
% 2.43/1.07 % (1689951)------------------------------
% 2.43/1.07 % (1689951)------------------------------
% 2.43/1.07 % (1689941)Success in time 0.292 s
% 2.43/1.07 % Vampire exiting
%------------------------------------------------------------------------------