%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO080^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 : Wed Sep 30 08:48:55 AM UTC 2026
% Result : Theorem 0.09s 0.23s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 6 unt; 0 typ; 2 def)
% Number of atoms : 99 ( 22 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 48 ( 13 ~; 10 |; 3 &)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 44 ( 44 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 4 usr; 6 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
cB: $o ).
tff(func_def_1,type,
cA: $o ).
tff(f1,conjecture,
( ( ( ( ( cA
=> cB )
=> cA )
=> cA )
=> cB )
=> cB ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM200) ).
tff(f2,negated_conjecture,
~ ( ( ( ( ( cA
=> cB )
=> cA )
=> cA )
=> cB )
=> cB ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ( ( ( cA
=> cB )
=> cA )
=> cA )
=> cB )
=> cB ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ( ( ( ( ( ( cA = $true )
=> ( cB = $true ) )
=> ( cA = $true ) )
=> ( cA = $true ) )
=> ( cB = $true ) )
=> ( cB = $true ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
( ( cB != $true )
& ( ( cB = $true )
| ( ( cA != $true )
& ( ( cA = $true )
| ( ( cB != $true )
& ( cA = $true ) ) ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f6,plain,
( ( cB = $true )
| ( cA = $true )
| ( cA = $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f8,plain,
( ( cB = $true )
| ( cA != $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f9,plain,
cB != $true,
inference(cnf_transformation,[],[f5]) ).
tff(f12,plain,
( ( cB = $true )
| ( cA = $true ) ),
inference(duplicate_literal_removal,[],[f6]) ).
tff(f14,definition,
( spl0_1
<=> ( cA = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f18,definition,
( spl0_2
<=> ( cB = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f21,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f12,f18,f14]) ).
tff(f22,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f8,f18,f14]) ).
tff(f23,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f9,f18]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f21]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f22]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f23]) ).
cnf(s4,plain,
~ spl0_1,
inference(rat,[],[s2,s3]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
tff(f24,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO080^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.16 % Computer : n006.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 16:32:40 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 Running first-order model finding
% 0.09/0.19 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
% 0.09/0.23 % (946728)Will run a generic schedule for satisfiability detection.
% 0.09/0.23 % (946752)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2377578357:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.23 % (946752) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-946728-946752"...
% 0.09/0.23 % (946752)...printing done.
% 0.09/0.23 % (946752)Refutation found. Thanks to Tanya!
% 0.09/0.23 % SZS status Theorem for theBenchmark
% 0.09/0.23 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.23 % (946752)------------------------------
% 0.09/0.23 % (946752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.23 % (946752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.23 % (946752)CaDiCaL version: 2.1.3
% 0.09/0.23 % (946752)Termination reason: Refutation
% 0.09/0.23 % (946752)Time elapsed: 0.001 s
% 0.09/0.23 % (946752)Peak memory usage: 12 MB
% 0.09/0.23 % (946728)Success in time 0.028 s
% 0.09/0.23 % Vampire exiting
%------------------------------------------------------------------------------