%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT035-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 0.25s 0.57s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 13 unt; 2 def)
% Number of atoms : 35 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0,X1] : k(join(X0,X1)) = meet(k(X0),k(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_on_join) ).
fof(f18,axiom,
k(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_on_bottom) ).
fof(f19,plain,
n1 = k(n0),
inference(reorient_equations,[],[f18]) ).
fof(f22,axiom,
! [X0,X1] : f(meet(X0,X1)) = join(f(X0),f(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_on_meet) ).
fof(f23,axiom,
f(n1) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_on_top) ).
fof(f24,plain,
n0 = f(n1),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb)))
| f(k(n0)) != n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',comp_join_hemimorphism) ).
fof(f26,plain,
( f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb)))
| n0 != f(k(n0)) ),
inference(reorient_equations,[],[f25]) ).
fof(f28,definition,
( spl0_1
<=> n0 = f(k(n0)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f30,plain,
( n0 != f(k(n0))
| spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f32,definition,
( spl0_2
<=> f(k(join(aa,bb))) = join(f(k(aa)),f(k(bb))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f34,plain,
( f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb)))
| spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f35,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f26,f32,f28]) ).
fof(f39,plain,
n0 = f(k(n0)),
inference(superposition,[],[f24,f19]) ).
fof(f40,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f39,f30]) ).
fof(f41,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f40]) ).
fof(f42,plain,
( join(f(k(aa)),f(k(bb))) != f(meet(k(aa),k(bb)))
| spl0_2 ),
inference(forward_demodulation,[],[f34,f16]) ).
fof(f43,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f42,f22]) ).
fof(f44,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f43]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f35]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f41]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f44]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f45,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT035-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.45 % Computer : n013.cluster.edu
% 0.21/0.45 % Model : x86_64 x86_64
% 0.21/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.45 % Memory : 8046.5625MB
% 0.21/0.45 % OS : Linux 6.8.0-71-generic
% 0.21/0.45 % CPULimit : 300
% 0.21/0.45 % WCLimit : 300
% 0.21/0.45 % DateTime : Sun Sep 27 13:56:51 UTC 2026
% 0.21/0.46 % CPUTime :
% 0.21/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.51 Running first-order model finding
% 0.21/0.51 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
% 0.25/0.57 % (248460)Will run a generic schedule for satisfiability detection.
% 0.25/0.57 % (248470)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1404774818:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.25/0.57 % (248470) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-248460-248470"...
% 0.25/0.57 % (248470)...printing done.
% 0.25/0.57 % (248470)Refutation found. Thanks to Tanya!
% 0.25/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.57 % (248470)------------------------------
% 0.25/0.57 % (248470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.57 % (248470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.57 % (248470)CaDiCaL version: 2.1.3
% 0.25/0.57 % (248470)Termination reason: Refutation
% 0.25/0.57 % (248470)Time elapsed: 0.002 s
% 0.25/0.57 % (248470)Peak memory usage: 12 MB
% 0.25/0.57 % (248470)Instructions burned: 1 (million)
% 0.25/0.57 % (248460)Success in time 0.037 s
% 0.25/0.57 % Vampire exiting
%------------------------------------------------------------------------------