%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL181-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 11:57:52 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 9 unt; 2 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 8 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 5 ( 4 usr; 5 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( p
| q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f3,negated_conjecture,
~ q,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
~ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,plain,
( ~ p
| q ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f7,plain,
p,
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f9,definition,
( spl0_1
<=> q ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f11,plain,
( q
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f13,definition,
( spl0_2
<=> p ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f15,plain,
( ~ p
| spl0_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f16,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f5,f13,f9]) ).
fof(f17,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f15,f7]) ).
fof(f18,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f17]) ).
fof(f19,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f11,f3]) ).
fof(f20,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f19]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f16]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f18]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f20]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f21,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL181-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 15:28:31 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.12/0.46 % (1783555)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (1783566)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1576428724:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.46 % (1783566) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1783555-1783566"...
% 0.12/0.46 % (1783566)...printing done.
% 0.12/0.46 % (1783566)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (1783566)------------------------------
% 0.12/0.46 % (1783566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (1783566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (1783566)CaDiCaL version: 2.1.3
% 0.12/0.46 % (1783566)Termination reason: Refutation
% 0.12/0.46 % (1783566)Time elapsed: 0.001 s
% 0.12/0.46 % (1783566)Peak memory usage: 12 MB
% 0.12/0.46 % (1783555)Success in time 0.028 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------