%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT088-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 11:45:59 AM UTC 2026
% Result : Unsatisfiable 4.25s 1.97s
% Output : Refutation 4.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 28 unt; 1 def)
% Number of atoms : 28 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_1) ).
fof(f2,axiom,
! [X0,X1] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_2) ).
fof(f3,axiom,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_3) ).
fof(f4,axiom,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_4) ).
fof(f5,axiom,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_5) ).
fof(f6,negated_conjecture,
meet(a,a) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_1) ).
fof(f7,plain,
a != meet(a,a),
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
~ sP0(meet(a,a)),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f9,plain,
sP0(a),
inference(inequality_splitting,[],[f7,f8]) ).
fof(f11,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,X0),meet(X1,join(X0,X0))),meet(meet(X0,X0),X0)),
inference(superposition,[],[f1,f2]) ).
fof(f13,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(meet(meet(X1,X0),meet(X0,join(X1,X0))),meet(meet(X0,join(X1,X0)),X0)),
inference(superposition,[],[f3,f3]) ).
fof(f16,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,join(X2,meet(X0,X1))),meet(X0,X1)),
inference(superposition,[],[f4,f1]) ).
fof(f17,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X0,join(X2,meet(X1,X0))),meet(X1,X0)),
inference(superposition,[],[f4,f3]) ).
fof(f30,plain,
! [X0,X1] : join(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[],[f5,f4]) ).
fof(f31,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(superposition,[],[f4,f5]) ).
fof(f38,plain,
! [X0,X1] : join(meet(join(meet(X0,X1),X0),X0),meet(X0,X0)) = X0,
inference(superposition,[],[f3,f30]) ).
fof(f62,plain,
! [X0] : meet(X0,X0) = meet(meet(X0,X0),meet(X0,X0)),
inference(superposition,[],[f16,f38]) ).
fof(f84,plain,
! [X0,X1] : meet(X0,X0) = join(meet(X0,X0),meet(X1,join(meet(X0,X0),meet(X0,X0)))),
inference(superposition,[],[f2,f62]) ).
fof(f92,plain,
! [X2,X0] : meet(meet(X0,join(X2,X0)),X0) = X0,
inference(superposition,[],[f17,f31]) ).
fof(f103,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(meet(meet(X1,X0),meet(X0,join(X1,X0))),X0),
inference(backward_demodulation,[],[f13,f92]) ).
fof(f110,plain,
! [X0] : meet(meet(X0,X0),X0) = X0,
inference(superposition,[],[f92,f30]) ).
fof(f122,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,X0),meet(X1,join(X0,X0))),X0),
inference(backward_demodulation,[],[f11,f110]) ).
fof(f265,plain,
! [X0] : meet(X0,X0) = meet(X0,join(X0,X0)),
inference(superposition,[],[f122,f103]) ).
fof(f302,plain,
! [X0] : join(meet(X0,X0),meet(X0,X0)) = X0,
inference(superposition,[],[f3,f265]) ).
fof(f318,plain,
! [X0,X1] : meet(X0,X0) = join(meet(X0,X0),meet(X1,X0)),
inference(backward_demodulation,[],[f84,f302]) ).
fof(f321,plain,
! [X0] : meet(X0,X0) = X0,
inference(backward_demodulation,[],[f302,f318]) ).
fof(f399,plain,
~ sP0(a),
inference(backward_demodulation,[],[f8,f321]) ).
fof(f409,plain,
$false,
inference(forward_subsumption_resolution,[],[f399,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT088-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n018.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.47 % WCLimit : 300
% 0.19/0.47 % DateTime : Sun Sep 27 14:02:23 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.51 Running first-order theorem proving
% 0.24/0.51 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
% 4.25/1.97 % (2373295)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.25/1.97 % (2373303)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2586671577:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 4.25/1.97 % (2373303)First to succeed.
% 4.25/1.97 % (2373303)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2373295"
% 4.25/1.97 % (2373300)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=3105601004:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 4.25/1.97 % (2373301)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=785342432:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 4.25/1.97 % (2373302)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3525157790:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 4.25/1.97 % (2373304)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3348175498:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 4.25/1.97 % (2373304)Also succeeded, but the first one will report.
% 4.25/1.97 % (2373305)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4171313483:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 4.25/1.97 % (2373306)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1469606361:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 4.25/1.97 % (2373306)Also succeeded, but the first one will report.
% 4.25/1.97 % (2373305)Also succeeded, but the first one will report.
% 4.25/1.97 % (2373303)Refutation found. Thanks to Tanya!
% 4.25/1.97 % SZS status Unsatisfiable for theBenchmark
% 4.25/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 4.25/1.97 % (2373303)------------------------------
% 4.25/1.97 % (2373303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.25/1.97 % (2373303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.97 % (2373303)CaDiCaL version: 2.1.3
% 4.25/1.97 % (2373303)Termination reason: Refutation
% 4.25/1.97 % (2373303)Time elapsed: 0.017 s
% 4.25/1.97 % (2373303)Peak memory usage: 88 MB
% 4.25/1.97 % (2373303)Instructions burned: 30 (million)
% 4.25/1.97 % (2373303)------------------------------
% 4.25/1.97 % (2373303)------------------------------
% 4.25/1.97 % (2373295)Success in time 0.472 s
% 4.25/1.97 % Vampire exiting
%------------------------------------------------------------------------------