%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN040+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 : n005.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 02:06:30 PM UTC 2026
% Result : Theorem 0.18s 0.29s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 8 unt; 2 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 13 ~; 5 |; 0 &)
% ( 4 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 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,conjecture,
( ( p
=> q )
<=> ( ~ q
=> ~ p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel1) ).
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 ),
inference(cnf_transformation,[],[f3]) ).
fof(f5,plain,
~ q,
inference(cnf_transformation,[],[f3]) ).
fof(f8,plain,
p,
inference(cnf_transformation,[],[f3]) ).
fof(f10,definition,
( spl0_1
<=> q ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f14,definition,
( spl0_2
<=> p ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f17,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f4,f14,f10]) ).
fof(f18,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f5,f10]) ).
fof(f19,plain,
spl0_2,
inference(avatar_split_clause,[],[f8,f14]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f17]) ).
cnf(s2,plain,
~ spl0_1,
inference(sat_conversion,[],[f18]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f19]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f20,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN040+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n005.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 15:24:31 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.18/0.29 % (862591)Will run a generic schedule for satisfiability detection.
% 0.18/0.29 % (862600)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=872707613:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.29 % (862600) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-862591-862600"...
% 0.18/0.29 % (862600)...printing done.
% 0.18/0.29 % (862600)Refutation found. Thanks to Tanya!
% 0.18/0.29 % SZS status Theorem for theBenchmark
% 0.18/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.29 % (862600)------------------------------
% 0.18/0.29 % (862600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.29 % (862600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.29 % (862600)CaDiCaL version: 2.1.3
% 0.18/0.29 % (862600)Termination reason: Refutation
% 0.18/0.29 % (862600)Time elapsed: 0.001 s
% 0.18/0.29 % (862600)Peak memory usage: 12 MB
% 0.18/0.29 % (862591)Success in time 0.042 s
% 0.18/0.29 % Vampire exiting
%------------------------------------------------------------------------------