%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT033-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 11:45:52 AM UTC 2026
% Result : Unsatisfiable 2.50s 1.30s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 20 unt; 3 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f2,negated_conjecture,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f7,negated_conjecture,
join(xx,xx) != xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f8,plain,
xx != join(xx,xx),
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
! [X0,X1] : sF0(X0,X1) = meet(X0,join(X0,X1)),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f10,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = sF0(X0,X1),
inference(reorient_equations,[],[f9]) ).
fof(f11,plain,
! [X0,X1] : sF0(X0,X1) = X0,
inference(definition_folding,[],[f1,f10]) ).
fof(f12,definition,
! [X0,X1] : sF1(X0,X1) = join(X0,meet(X0,X1)),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f13,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = sF1(X0,X1),
inference(reorient_equations,[],[f12]) ).
fof(f14,plain,
! [X0,X1] : sF1(X0,X1) = X0,
inference(definition_folding,[],[f2,f13]) ).
fof(f25,definition,
sF6 = join(xx,xx),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f26,plain,
join(xx,xx) = sF6,
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
xx != sF6,
inference(definition_folding,[],[f8,f26]) ).
fof(f30,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f14,f13]) ).
fof(f31,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[],[f11,f10]) ).
fof(f36,plain,
xx = meet(xx,sF6),
inference(superposition,[],[f31,f26]) ).
fof(f41,plain,
xx = join(xx,xx),
inference(superposition,[],[f30,f36]) ).
fof(f42,plain,
xx = sF6,
inference(forward_demodulation,[],[f41,f26]) ).
fof(f44,plain,
xx != xx,
inference(superposition,[],[f27,f42]) ).
fof(f45,plain,
$false,
inference(trivial_inequality_removal,[],[f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT033-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n018.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 13:59:39 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.50/1.30 % (2370726)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.50/1.30 % (2370735)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1077416908:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 2.50/1.30 % (2370735)First to succeed.
% 2.50/1.30 % (2370735)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2370726"
% 2.50/1.30 % (2370733)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2235700597:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 2.50/1.30 % (2370732)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=1332251867:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 2.50/1.30 % (2370734)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=85378569:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 2.50/1.30 % (2370731)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=799217519:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 2.50/1.30 % (2370734)Also succeeded, but the first one will report.
% 2.50/1.30 % (2370736)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1953362059:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 2.50/1.30 % (2370737)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2765148277:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 2.50/1.30 % (2370737)Also succeeded, but the first one will report.
% 2.50/1.30 % (2370736)Also succeeded, but the first one will report.
% 2.50/1.30 % (2370735)Refutation found. Thanks to Tanya!
% 2.50/1.30 % SZS status Unsatisfiable for theBenchmark
% 2.50/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.30 % (2370735)------------------------------
% 0.17/1.30 % (2370735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.30 % (2370735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.30 % (2370735)CaDiCaL version: 2.1.3
% 0.17/1.30 % (2370735)Termination reason: Refutation
% 0.17/1.30 % (2370735)Time elapsed: 0.001 s
% 0.17/1.30 % (2370735)Peak memory usage: 88 MB
% 0.17/1.30 % (2370735)Instructions burned: 2 (million)
% 0.17/1.30 % (2370735)------------------------------
% 0.17/1.30 % (2370735)------------------------------
% 0.17/1.30 % (2370726)Success in time 0.275 s
% 0.17/1.30 % Vampire exiting
%------------------------------------------------------------------------------