%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC026-1 : 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 : n019.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 01:04:21 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 6 unt; 2 def)
% Number of atoms : 38 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 14 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( nil = sk2
| nil = sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f211,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
( nil = sk4
| nil = sk3 ),
inference(definition_unfolding,[],[f208,f204,f205]) ).
fof(f217,plain,
( nil != sk3
| nil != sk4 ),
inference(definition_unfolding,[],[f211,f205,f204]) ).
fof(f247,definition,
( spl0_1
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f251,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f254,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f217,f251,f247]) ).
fof(f255,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f214,f247,f251]) ).
fof(f256,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f207,f251,f247]) ).
fof(f257,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f206,f247,f251]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f254]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f255]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f256]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f257]) ).
cnf(s19,plain,
spl0_1,
inference(rat,[],[s2,s4]) ).
cnf(s20,plain,
spl0_2,
inference(rat,[],[s3,s19]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s1,s20,s19]) ).
fof(f300,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC026-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n019.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 07:30:04 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 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
% 0.17/0.48 % (3829583)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (3829592)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3404252586:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (3829589)% WARNING: option uhcvi not known.
% 0.17/0.48 % (3829592) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3829583-3829592"...
% 0.17/0.48 % (3829592)...printing done.
% 0.17/0.48 % (3829592)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (3829592)------------------------------
% 0.17/0.48 % (3829592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (3829592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (3829592)CaDiCaL version: 2.1.3
% 0.17/0.48 % (3829592)Termination reason: Refutation
% 0.17/0.48 % (3829592)Time elapsed: 0.004 s
% 0.17/0.48 % (3829592)Peak memory usage: 12 MB
% 0.17/0.48 % (3829592)Instructions burned: 12 (million)
% 0.17/0.48 % (3829583)Success in time 0.046 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------