%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO366_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 02:30:45 PM UTC 2026
% Result : Theorem 0.25s 0.32s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 6 unt; 0 typ; 2 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 24 ( 10 ~; 7 |; 1 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 10 ( 10 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-1 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
cP: $o > $o ).
tff(f1,conjecture,
( cP(( cA
=> cA ))
=> cP($true) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRIVEXT4) ).
tff(f2,negated_conjecture,
~ ( cP(( cA
=> cA ))
=> cP($true) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
( ~ cP($true)
& cP(( cA
| ~ cA )) ),
inference(ennf_transformation,[],[f2]) ).
tff(f4,plain,
( cA
| cP($true) ),
inference(cnf_transformation,[],[f3]) ).
tff(f5,plain,
( ~ cA
| cP($true) ),
inference(cnf_transformation,[],[f3]) ).
tff(f6,plain,
~ cP($true),
inference(cnf_transformation,[],[f3]) ).
tff(f10,definition,
( spl0_1
<=> cP($true) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f14,definition,
( spl0_2
<=> cA ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f17,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f14,f10]) ).
tff(f18,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f5,f14,f10]) ).
tff(f19,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f6,f10]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f17]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f18]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f19]) ).
cnf(s4,plain,
~ spl0_2,
inference(rat,[],[s2,s3]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
tff(f20,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO366_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 % Computer : n018.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 17:38:40 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.28 Running first-order model finding
% 0.09/0.28 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
% 0.25/0.32 % (3592378)Will run a generic schedule for satisfiability detection.
% 0.25/0.32 % (3592387)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3428128884:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.25/0.32 % (3592387) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3592378-3592387"...
% 0.25/0.32 % (3592383)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1490612724_3000 on theBenchmark for (3000ds/0Mi)
% 0.25/0.32 % (3592387)...printing done.
% 0.25/0.32 % Detected minimum model sizes of [1]
% 0.25/0.32 % Detected maximum model sizes of [3]
% 0.25/0.32 % TRYING [1]
% 0.25/0.32 % TRYING [2]
% 0.25/0.32 % (3592383) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3592378-3592383"...
% 0.25/0.32 % (3592383)...printing done.
% 0.25/0.32 % (3592387)Refutation found. Thanks to Tanya!
% 0.25/0.32 % SZS status Theorem for theBenchmark
% 0.25/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.32 % (3592387)------------------------------
% 0.25/0.32 % (3592387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.32 % (3592387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.32 % (3592387)CaDiCaL version: 2.1.3
% 0.25/0.32 % (3592387)Termination reason: Refutation
% 0.25/0.32 % (3592387)Time elapsed: 0.001 s
% 0.25/0.32 % (3592387)Peak memory usage: 12 MB
% 0.25/0.32 % (3592378)Success in time 0.026 s
% 0.25/0.32 % Vampire exiting
%------------------------------------------------------------------------------