%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 12:31:49 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 9 unt; 4 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 16 ~; 18 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 10 ( 9 usr; 10 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( ~ b_is_a_knight
| ~ a_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).
fof(f5,axiom,
( ~ b_is_a_knight
| c_is_a_knight
| d_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).
fof(f10,axiom,
( ~ e_is_a_knight
| ~ d_is_a_knight
| c_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
fof(f16,axiom,
( a_is_a_knight
| e_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c16) ).
fof(f17,axiom,
( a_is_a_knight
| ~ c_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c17) ).
fof(f18,negated_conjecture,
b_is_a_knight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c18) ).
fof(f20,definition,
( spl0_1
<=> c_is_a_knight ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f24,definition,
( spl0_2
<=> a_is_a_knight ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f27,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f17,f24,f20]) ).
fof(f29,definition,
( spl0_3
<=> e_is_a_knight ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f32,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f24,f29]) ).
fof(f36,definition,
( spl0_4
<=> d_is_a_knight ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f41,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f10,f29,f36,f20]) ).
fof(f45,plain,
( c_is_a_knight
| d_is_a_knight ),
inference(forward_subsumption_resolution,[],[f5,f18]) ).
fof(f46,plain,
~ a_is_a_knight,
inference(forward_subsumption_resolution,[],[f3,f18]) ).
fof(f50,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f45,f20,f36]) ).
fof(f51,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f46,f24]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f27]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f32]) ).
cnf(s6,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f41]) ).
cnf(s12,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f50]) ).
cnf(s13,plain,
~ spl0_2,
inference(sat_conversion,[],[f51]) ).
cnf(s16,plain,
spl0_3,
inference(rat,[],[s2,s13]) ).
cnf(s17,plain,
~ spl0_1,
inference(rat,[],[s1,s13]) ).
cnf(s18,plain,
spl0_4,
inference(rat,[],[s12,s17]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s6,s16,s18,s17]) ).
fof(f52,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 22:31:51 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.44 % (3951903)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (3951912)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1390706927:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.44 % (3951912) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3951903-3951912"...
% 0.10/0.44 % (3951912)...printing done.
% 0.10/0.44 % (3951912)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (3951912)------------------------------
% 0.10/0.44 % (3951912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (3951912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (3951912)CaDiCaL version: 2.1.3
% 0.10/0.44 % (3951912)Termination reason: Refutation
% 0.10/0.44 % (3951912)Time elapsed: 0.001 s
% 0.10/0.44 % (3951912)Peak memory usage: 12 MB
% 0.10/0.44 % (3951903)Success in time 0.025 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------