%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL465+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 11:58:45 AM UTC 2026
% Result : Theorem 0.26s 0.53s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 5 |; 0 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 21 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
( implies_3
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',implies_3) ).
fof(f19,axiom,
( cn1
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',cn1) ).
fof(f36,axiom,
cn1,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+3.ax',luka_cn1) ).
fof(f43,conjecture,
implies_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_3) ).
fof(f44,negated_conjecture,
~ implies_3,
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f45,plain,
~ implies_3,
inference(flattening,[],[f44]) ).
fof(f48,plain,
( cn1
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f49,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
=> implies_3 ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f58,plain,
( implies_3
| ? [X0,X1,X2] : ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
inference(ennf_transformation,[],[f49]) ).
fof(f59,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ cn1 ),
inference(ennf_transformation,[],[f48]) ).
fof(f65,plain,
( implies_3
| ~ is_a_theorem(implies(implies(sK0,sK1),implies(implies(sK1,sK2),implies(sK0,sK2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f58]) ).
fof(f68,plain,
( implies_3
| ~ is_a_theorem(implies(implies(sK0,sK1),implies(implies(sK1,sK2),implies(sK0,sK2)))) ),
inference(cnf_transformation,[],[f65]) ).
fof(f69,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ cn1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f78,plain,
cn1,
inference(cnf_transformation,[],[f36]) ).
fof(f85,plain,
~ implies_3,
inference(cnf_transformation,[],[f45]) ).
fof(f91,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(global_subsumption,[],[f69,f78]) ).
fof(f92,plain,
~ is_a_theorem(implies(implies(sK0,sK1),implies(implies(sK1,sK2),implies(sK0,sK2)))),
inference(global_subsumption,[],[f68,f85]) ).
fof(f274,plain,
$false,
inference(resolution,[],[f91,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL465+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.43 % Computer : n007.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 15:46:55 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.49 Running first-order model finding
% 0.17/0.49 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
% 0.26/0.53 % (1613791)Will run a generic schedule for satisfiability detection.
% 0.26/0.53 % (1613798)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3510495955:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.26/0.53 % (1613802)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4160433584:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.26/0.53 % (1613798) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1613791-1613798"...
% 0.26/0.53 % (1613798)...printing done.
% 0.26/0.53 % (1613797)% WARNING: option uhcvi not known.
% 0.26/0.53 % (1613798)Refutation found. Thanks to Tanya!
% 0.26/0.53 % SZS status Theorem for theBenchmark
% 0.26/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.53 % (1613798)------------------------------
% 0.26/0.53 % (1613798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.53 % (1613798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.53 % (1613798)CaDiCaL version: 2.1.3
% 0.26/0.53 % (1613798)Termination reason: Refutation
% 0.26/0.53 % (1613798)Time elapsed: 0.005 s
% 0.26/0.53 % (1613798)Peak memory usage: 12 MB
% 0.26/0.53 % (1613798)Instructions burned: 6 (million)
% 0.26/0.53 % (1613791)Success in time 0.032 s
% 0.26/0.53 % Vampire exiting
%------------------------------------------------------------------------------