%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT033-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 11:47:43 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.35s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 5 ( 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,
join(xx,xx) != xx,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f8,plain,
xx != join(xx,xx),
inference(reorient_equations,[],[f7]) ).
fof(f9,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f2,f1]) ).
fof(f13,plain,
xx != xx,
inference(superposition,[],[f8,f9]) ).
fof(f15,plain,
$false,
inference(trivial_inequality_removal,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT033-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 13:57:04 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32 Running first-order model finding
% 0.04/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % (2400345)Will run a generic schedule for satisfiability detection.
% 0.07/0.35 % (2400351)% WARNING: option uhcvi not known.
% 0.07/0.35 % (2400350)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3474433136_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.35 % (2400354)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3099994484:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.35 % (2400352)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1922067197:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.35 % (2400351)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2022010586:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.35 % (2400353)dis+10_1_sil=32000:sp=arity:random_seed=2822803779:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.35 % TRYING [1]
% 0.07/0.35 % (2400355)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2599051146:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.35 % TRYING [2]
% 0.07/0.35 % (2400356)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1760904862:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.35 % TRYING [3]
% 0.07/0.35 % (2400354) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2400345-2400354"...
% 0.07/0.35 % (2400352) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2400345-2400352"...
% 0.07/0.35 % (2400353) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2400345-2400353"...
% 0.07/0.35 % (2400355) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2400345-2400355"...
% 0.07/0.35 % (2400356) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2400345-2400356"...
% 0.07/0.35 % (2400351) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2400345-2400351"...
% 0.07/0.35 % (2400354)...printing done.
% 0.07/0.35 % (2400352)...printing done.
% 0.07/0.35 % (2400350) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2400345-2400350"...
% 0.07/0.35 % (2400353)...printing done.
% 0.07/0.35 % (2400355)...printing done.
% 0.07/0.35 % (2400356)...printing done.
% 0.07/0.35 % (2400351)...printing done.
% 0.07/0.35 % (2400354)Refutation found. Thanks to Tanya!
% 0.07/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.35 % (2400354)------------------------------
% 0.07/0.35 % (2400354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.35 % (2400354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.35 % (2400354)CaDiCaL version: 2.1.3
% 0.07/0.35 % (2400354)Termination reason: Refutation
% 0.07/0.35 % (2400354)Time elapsed: 0.001 s
% 0.07/0.35 % (2400354)Peak memory usage: 11 MB
% 0.07/0.35 % (2400354)Instructions burned: 1 (million)
% 0.07/0.35 % (2400345)Success in time 0.028 s
% 0.07/0.35 % Vampire exiting
%------------------------------------------------------------------------------