%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT032-1 : 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 : n003.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 0.26s 2.04s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 22 unt; 1 def)
% Number of atoms : 22 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 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 : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
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(f10,negated_conjecture,
meet(xx,join(yy,zz)) != join(meet(xx,yy),meet(xx,zz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_meet) ).
fof(f11,definition,
~ sP0(meet(xx,join(yy,zz))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f12,plain,
sP0(join(meet(xx,yy),meet(xx,zz))),
inference(inequality_splitting,[],[f10,f11]) ).
fof(f13,plain,
sP0(meet(join(meet(xx,yy),xx),join(meet(xx,yy),zz))),
inference(backward_demodulation,[],[f12,f9]) ).
fof(f28,plain,
sP0(meet(join(xx,meet(xx,yy)),join(meet(xx,yy),zz))),
inference(superposition,[],[f13,f6]) ).
fof(f32,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f36,plain,
sP0(meet(meet(join(xx,xx),join(xx,yy)),join(meet(xx,yy),zz))),
inference(forward_demodulation,[],[f28,f9]) ).
fof(f42,plain,
sP0(meet(join(xx,xx),meet(join(xx,yy),join(meet(xx,yy),zz)))),
inference(forward_demodulation,[],[f36,f7]) ).
fof(f46,plain,
sP0(meet(xx,meet(join(xx,yy),join(meet(xx,yy),zz)))),
inference(forward_demodulation,[],[f42,f2]) ).
fof(f66,plain,
! [X2,X0,X1] : meet(X0,meet(join(X0,X1),X2)) = meet(X0,X2),
inference(superposition,[],[f7,f3]) ).
fof(f79,plain,
sP0(meet(xx,join(meet(xx,yy),zz))),
inference(backward_demodulation,[],[f46,f66]) ).
fof(f84,plain,
sP0(meet(xx,join(zz,meet(xx,yy)))),
inference(superposition,[],[f79,f6]) ).
fof(f85,plain,
sP0(meet(xx,meet(join(zz,xx),join(zz,yy)))),
inference(forward_demodulation,[],[f84,f9]) ).
fof(f174,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f32]) ).
fof(f177,plain,
sP0(meet(xx,join(zz,yy))),
inference(backward_demodulation,[],[f85,f174]) ).
fof(f181,plain,
sP0(meet(xx,join(yy,zz))),
inference(superposition,[],[f177,f6]) ).
fof(f182,plain,
$false,
inference(forward_subsumption_resolution,[],[f181,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT032-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n003.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 13:58:56 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 0.26/2.04 % (545686)Detected a unit-equality problem, will run specialized UEQ schedule.
% 0.26/2.04 % (545696)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3301690748:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 0.26/2.04 % (545694)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=2441247452:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 0.26/2.04 % (545695)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=726744326:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 0.26/2.04 % (545700)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4184472221:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 0.26/2.04 % (545698)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=815265824:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 0.26/2.04 % (545697)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3670890731:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 0.26/2.04 % (545697)First to succeed.
% 0.26/2.04 % (545697)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-545686"
% 0.26/2.04 % (545699)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2538958946:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 0.26/2.04 % (545699)Also succeeded, but the first one will report.
% 0.26/2.04 % (545698)Instruction limit reached!
% 0.26/2.04 % (545698)------------------------------
% 0.26/2.04 % (545698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.26/2.04 % (545698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/2.04 % (545698)CaDiCaL version: 2.1.3
% 0.26/2.04 % (545698)Termination reason: Instruction limit
% 0.26/2.04 % (545698)Termination phase: Saturation
% 0.26/2.04 % (545698)Time elapsed: 0.177 s
% 0.26/2.04 % (545698)Peak memory usage: 89 MB
% 0.26/2.04 % (545698)Instructions burned: 182 (million)
% 0.26/2.04 % (545697)Refutation found. Thanks to Tanya!
% 0.26/2.04 % SZS status Unsatisfiable for theBenchmark
% 0.26/2.04 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/2.04 % (545697)------------------------------
% 0.26/2.04 % (545697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.26/2.04 % (545697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/2.04 % (545697)CaDiCaL version: 2.1.3
% 0.26/2.04 % (545697)Termination reason: Refutation
% 0.26/2.04 % (545697)Time elapsed: 0.010 s
% 0.26/2.04 % (545697)Peak memory usage: 88 MB
% 0.26/2.04 % (545697)Instructions burned: 7 (million)
% 0.26/2.04 % (545697)------------------------------
% 0.26/2.04 % (545697)------------------------------
% 0.26/2.04 % (545686)Success in time 0.667 s
% 0.26/2.04 % Vampire exiting
%------------------------------------------------------------------------------