%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT039-1 : TPTP v9.3.1. Released v2.4.0.
% 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 11:45:53 AM UTC 2026
% Result : Unsatisfiable 2.61s 1.41s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 9 unt; 1 def)
% Number of atoms : 9 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_join) ).
fof(f11,axiom,
join(xx,yy) = yy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs) ).
fof(f12,plain,
yy = join(xx,yy),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
join(xx,meet(yy,zz)) != meet(yy,join(xx,zz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rhs) ).
fof(f14,definition,
~ sP0(join(xx,meet(yy,zz))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f15,plain,
sP0(meet(yy,join(xx,zz))),
inference(inequality_splitting,[],[f13,f14]) ).
fof(f16,plain,
~ sP0(meet(join(xx,yy),join(xx,zz))),
inference(backward_demodulation,[],[f14,f9]) ).
fof(f19,plain,
~ sP0(meet(yy,join(xx,zz))),
inference(forward_demodulation,[],[f16,f12]) ).
fof(f21,plain,
$false,
inference(forward_subsumption_resolution,[],[f19,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT039-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n002.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 14:00:22 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.50 Running first-order theorem proving
% 0.23/0.50 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
% 2.61/1.41 % (3545722)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.61/1.41 % (3545820)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1502158480:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 2.61/1.41 % (3545820)First to succeed.
% 2.61/1.41 % (3545820)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3545722"
% 2.61/1.41 % (3545825)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1537227067:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 2.61/1.41 % (3545816)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=4145730283:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 2.61/1.41 % (3545822)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2921651790:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 2.61/1.41 % (3545823)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2382012386:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 2.61/1.41 % (3545815)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=4081055169:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 2.61/1.41 % (3545823)Also succeeded, but the first one will report.
% 2.61/1.41 % (3545822)Also succeeded, but the first one will report.
% 2.61/1.41 % (3545818)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=592556405:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 2.61/1.41 % (3545825)Also succeeded, but the first one will report.
% 2.61/1.41 % (3545820)Refutation found. Thanks to Tanya!
% 2.61/1.41 % SZS status Unsatisfiable for theBenchmark
% 2.61/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/1.41 % (3545820)------------------------------
% 2.61/1.41 % (3545820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.41 % (3545820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.41 % (3545820)CaDiCaL version: 2.1.3
% 2.61/1.41 % (3545820)Termination reason: Refutation
% 2.61/1.41 % (3545820)Time elapsed: 0.001 s
% 2.61/1.41 % (3545820)Peak memory usage: 87 MB
% 2.61/1.41 % (3545820)Instructions burned: 1 (million)
% 2.61/1.41 % (3545820)------------------------------
% 2.61/1.41 % (3545820)------------------------------
% 2.61/1.41 % (3545722)Success in time 0.258 s
% 2.61/1.41 % Vampire exiting
%------------------------------------------------------------------------------