%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT034-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 0.23s 0.51s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f2,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f4,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f5,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f6,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f7,negated_conjecture,
meet(xx,xx) != xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f8,plain,
xx != meet(xx,xx),
inference(reorient_equations,[],[f7]) ).
fof(f29,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f1,f2,f3,f4,f5,f6,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT034-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.18/0.42 % Computer : n011.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Sun Sep 27 13:57:30 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.48 Running first-order model finding
% 0.23/0.48 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.51 % (2429198)Will run a generic schedule for satisfiability detection.
% 0.23/0.51 % (2429203)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3016788757_3000 on theBenchmark for (3000ds/0Mi)
% 0.23/0.51 % TRYING [1]
% 0.23/0.51 % TRYING [2]
% 0.23/0.51 % TRYING [3]
% 0.23/0.51 % (2429203) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2429198-2429203"...
% 0.23/0.51 % (2429203)...printing done.
% 0.23/0.51 % (2429203)Refutation found. Thanks to Tanya!
% 0.23/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.51 % (2429203)------------------------------
% 0.23/0.51 % (2429203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.51 % (2429203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.51 % (2429203)CaDiCaL version: 2.1.3
% 0.23/0.51 % (2429203)Termination reason: Refutation
% 0.23/0.51 % (2429203)Time elapsed: 0.003 s
% 0.23/0.51 % (2429203)Peak memory usage: 11 MB
% 0.23/0.51 % (2429203)Instructions burned: 6 (million)
% 0.23/0.51 % (2429198)Success in time 0.025 s
% 0.23/0.52 % Vampire exiting
%------------------------------------------------------------------------------