%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL181+1 : TPTP v9.3.1. Released v2.0.0.
% 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 11:57:52 AM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 8 unt; 2 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 56 ( 23 ~; 18 |; 6 &)
% ( 4 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 3 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,conjecture,
( ( ~ p
=> q )
<=> ( ~ q
=> p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel4) ).
fof(f2,negated_conjecture,
~ ( ( ~ p
=> q )
<=> ( ~ q
=> p ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( q
| p )
<~> ( p
| q ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ( ( ~ p
& ~ q )
| ( ~ q
& ~ p ) )
& ( p
| q
| q
| p ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ( ~ p
& ~ q )
| ( ~ q
& ~ p ) )
& ( p
| q
| q
| p ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( p
| q
| q
| p ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
( ~ q
| ~ q ),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
( ~ p
| ~ p ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
( p
| q ),
inference(duplicate_literal_removal,[],[f6]) ).
fof(f12,plain,
~ q,
inference(duplicate_literal_removal,[],[f8]) ).
fof(f13,plain,
~ p,
inference(duplicate_literal_removal,[],[f9]) ).
fof(f15,definition,
( spl0_1
<=> q ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f19,definition,
( spl0_2
<=> p ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f22,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f19,f15]) ).
fof(f24,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f12,f15]) ).
fof(f25,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f13,f19]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f22]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f24]) ).
cnf(s4,plain,
~ spl0_2,
inference(sat_conversion,[],[f25]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f27,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL181+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:23:10 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.11/0.45 % (1584002)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (1584012)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1126890622:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (1584012) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1584002-1584012"...
% 0.11/0.45 % (1584012)...printing done.
% 0.11/0.45 % (1584008)% WARNING: option uhcvi not known.
% 0.11/0.45 % (1584012)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (1584012)------------------------------
% 0.11/0.46 % (1584012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (1584012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (1584012)CaDiCaL version: 2.1.3
% 0.11/0.46 % (1584012)Termination reason: Refutation
% 0.11/0.46 % (1584012)Time elapsed: 0.001 s
% 0.11/0.46 % (1584012)Peak memory usage: 12 MB
% 0.11/0.46 % (1584002)Success in time 0.028 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------