%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO368_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 5 unt; 0 typ; 4 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 27 ~; 22 |; 6 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 16 ( 16 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 8 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_2,type,
cP: $o > $o ).
tff(f1,conjecture,
( ( ( a
<=> b )
& cP(a) )
=> cP(b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTRIVEXT1) ).
tff(f2,negated_conjecture,
~ ( ( ( a
<=> b )
& cP(a) )
=> cP(b) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
( ~ cP(b)
& ( a
<=> b )
& cP(a) ),
inference(ennf_transformation,[],[f2]) ).
tff(f4,plain,
( ~ cP(b)
& ( a
<=> b )
& cP(a) ),
inference(flattening,[],[f3]) ).
tff(f5,plain,
( ~ b
| ~ cP($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f6,plain,
( b
| ~ cP($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f7,plain,
( ~ b
| a ),
inference(cnf_transformation,[],[f4]) ).
tff(f8,plain,
( b
| ~ a ),
inference(cnf_transformation,[],[f4]) ).
tff(f9,plain,
( ~ a
| cP($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f10,plain,
( a
| cP($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f13,plain,
( ~ b
| ~ a ),
inference(consistent_polarity_flipping,[],[f8]) ).
tff(f14,plain,
( b
| a ),
inference(consistent_polarity_flipping,[],[f7]) ).
tff(f15,plain,
( ~ b
| ~ cP($false) ),
inference(consistent_polarity_flipping,[],[f6]) ).
tff(f16,plain,
( b
| ~ cP($true) ),
inference(consistent_polarity_flipping,[],[f5]) ).
tff(f18,definition,
( spl0_1
<=> cP($true) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f22,definition,
( spl0_2
<=> b ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f25,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f22,f18]) ).
tff(f27,definition,
( spl0_3
<=> cP($false) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f30,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f15,f22,f27]) ).
tff(f32,definition,
( spl0_4
<=> a ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f35,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f22,f32]) ).
tff(f36,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f13,f22,f32]) ).
tff(f37,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f9,f32,f18]) ).
tff(f38,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f10,f32,f27]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f25]) ).
cnf(s2,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f30]) ).
cnf(s3,plain,
( spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f35]) ).
cnf(s4,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f36]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f37]) ).
cnf(s6,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f38]) ).
cnf(s7,plain,
spl0_4,
inference(rat,[],[s2,s3,s6]) ).
cnf(s8,plain,
spl0_1,
inference(rat,[],[s5,s7]) ).
cnf(s9,plain,
~ spl0_2,
inference(rat,[],[s4,s7]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s9,s8]) ).
tff(f39,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO368_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 17:36:06 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.26 % (1365846)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (1365858)% WARNING: option uhcvi not known.
% 0.09/0.26 % (1365858)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2620094220:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.26 % (1365858) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1365846-1365858"...
% 0.09/0.26 % (1365858)...printing done.
% 0.09/0.26 % (1365858)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (1365858)------------------------------
% 0.09/0.26 % (1365858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (1365858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (1365858)CaDiCaL version: 2.1.3
% 0.09/0.26 % (1365858)Termination reason: Refutation
% 0.09/0.26 % (1365858)Time elapsed: 0.001 s
% 0.09/0.26 % (1365858)Peak memory usage: 12 MB
% 0.09/0.26 % (1365846)Success in time 0.029 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------