%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO369_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 : n010.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 02:30:46 PM UTC 2026
% Result : Theorem 0.08s 0.24s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 5 unt; 0 typ; 4 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 81 ( 36 ~; 36 |; 1 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 20 ( 20 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_3,type,
cP: $o > $o ).
tff(f1,conjecture,
( cP(( cA
=> cB ))
=> cP(( ~ cA
| cB )) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTRIVEXT5) ).
tff(f2,negated_conjecture,
~ ( cP(( cA
=> cB ))
=> cP(( ~ cA
| cB )) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
( ~ cP(( ~ cA
| cB ))
& cP(( cB
| ~ cA )) ),
inference(ennf_transformation,[],[f2]) ).
tff(f4,plain,
( cB
| ~ cA
| ~ cP($false) ),
inference(cnf_transformation,[],[f3]) ).
tff(f5,plain,
( ~ cB
| ~ cP($true) ),
inference(cnf_transformation,[],[f3]) ).
tff(f6,plain,
( cA
| ~ cP($true) ),
inference(cnf_transformation,[],[f3]) ).
tff(f7,plain,
( ~ cA
| cB
| cP($false) ),
inference(cnf_transformation,[],[f3]) ).
tff(f8,plain,
( cA
| cP($true) ),
inference(cnf_transformation,[],[f3]) ).
tff(f9,plain,
( ~ cB
| cP($true) ),
inference(cnf_transformation,[],[f3]) ).
tff(f12,plain,
( ~ cB
| ~ cP($true) ),
inference(consistent_polarity_flipping,[],[f9]) ).
tff(f13,plain,
( cA
| ~ cP($true) ),
inference(consistent_polarity_flipping,[],[f8]) ).
tff(f14,plain,
( ~ cA
| cB
| ~ cP($false) ),
inference(consistent_polarity_flipping,[],[f7]) ).
tff(f15,plain,
( cA
| cP($true) ),
inference(consistent_polarity_flipping,[],[f6]) ).
tff(f16,plain,
( ~ cB
| cP($true) ),
inference(consistent_polarity_flipping,[],[f5]) ).
tff(f17,plain,
( cB
| ~ cA
| cP($false) ),
inference(consistent_polarity_flipping,[],[f4]) ).
tff(f19,definition,
( spl0_1
<=> cP($false) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f23,definition,
( spl0_2
<=> cA ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f27,definition,
( spl0_3
<=> cB ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f30,plain,
( spl0_1
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f27,f23,f19]) ).
tff(f32,definition,
( spl0_4
<=> cP($true) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f35,plain,
( spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f16,f27,f32]) ).
tff(f36,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f15,f23,f32]) ).
tff(f37,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f14,f23,f27,f19]) ).
tff(f38,plain,
( ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f13,f23,f32]) ).
tff(f39,plain,
( ~ spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f12,f27,f32]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f30]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f35]) ).
cnf(s3,plain,
( spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f36]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f37]) ).
cnf(s5,plain,
( spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f38]) ).
cnf(s6,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f39]) ).
cnf(s7,plain,
spl0_2,
inference(rat,[],[s3,s5]) ).
cnf(s8,plain,
~ spl0_3,
inference(rat,[],[s2,s6]) ).
cnf(s9,plain,
~ spl0_1,
inference(rat,[],[s4,s8,s7]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s9,s8,s7]) ).
tff(f40,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO369_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n010.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 17:37:02 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.24 % (2114758)Will run a generic schedule for satisfiability detection.
% 0.08/0.24 % (2114764)% WARNING: option uhcvi not known.
% 0.08/0.24 % (2114764)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2885874643:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.24 % (2114764) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2114758-2114764"...
% 0.08/0.24 % (2114764)...printing done.
% 0.08/0.24 % (2114764)Refutation found. Thanks to Tanya!
% 0.08/0.24 % SZS status Theorem for theBenchmark
% 0.08/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.24 % (2114764)------------------------------
% 0.08/0.24 % (2114764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (2114764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (2114764)CaDiCaL version: 2.1.3
% 0.08/0.24 % (2114764)Termination reason: Refutation
% 0.08/0.24 % (2114764)Time elapsed: 0.001 s
% 0.08/0.24 % (2114764)Peak memory usage: 12 MB
% 0.08/0.24 % (2114758)Success in time 0.024 s
% 0.08/0.24 % Vampire exiting
%------------------------------------------------------------------------------