%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ035-5 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 12:32:00 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 6 unt; 2 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 16 ~; 10 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( truth(isa(X0,knave))
| truth(isa(X0,knight)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',everyone_a_knight_or_knave) ).
fof(f9,negated_conjecture,
! [X0,X1] :
( ~ truth(isa(asked,X0))
| ~ truth(isa(other,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query) ).
fof(f11,definition,
( spl0_1
<=> ! [X1] : ~ truth(isa(other,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f12,plain,
( ! [X1] : ~ truth(isa(other,X1))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f14,definition,
( spl0_2
<=> ! [X0] : ~ truth(isa(asked,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f15,plain,
( ! [X0] : ~ truth(isa(asked,X0))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f16,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f14,f11]) ).
fof(f17,plain,
( truth(isa(asked,knight))
| ~ spl0_2 ),
inference(resolution,[],[f1,f15]) ).
fof(f18,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f17,f15]) ).
fof(f19,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f18]) ).
fof(f20,plain,
( truth(isa(other,knight))
| ~ spl0_1 ),
inference(resolution,[],[f12,f1]) ).
fof(f21,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f20,f12]) ).
fof(f22,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f21]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f16]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f19]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f22]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f23,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ035-5 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 22:35:07 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.12/0.46 % (3947605)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (3947614)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1601898055:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.46 % (3947614) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3947605-3947614"...
% 0.12/0.46 % (3947614)...printing done.
% 0.12/0.46 % (3947614)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (3947614)------------------------------
% 0.12/0.46 % (3947614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (3947614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (3947614)CaDiCaL version: 2.1.3
% 0.12/0.46 % (3947614)Termination reason: Refutation
% 0.12/0.46 % (3947614)Time elapsed: 0.001 s
% 0.12/0.46 % (3947614)Peak memory usage: 12 MB
% 0.12/0.46 % (3947614)Instructions burned: 1 (million)
% 0.12/0.46 % (3947605)Success in time 0.028 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------