%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ035-4 : 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 : n008.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 0.08s 0.43s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 10 unt; 3 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 31 ~; 22 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( truth(isa(X0,knave))
| truth(isa(X0,knight))
| ~ person(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',everyone_a_knight_or_knave) ).
fof(f5,axiom,
( says(asked,or(isa(asked,knight),isa(other,knight)))
| says(asked,not(or(isa(asked,knight),isa(other,knight)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_is_knight_answer) ).
fof(f12,axiom,
person(asked),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',asked_person) ).
fof(f13,axiom,
person(other),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',other_person) ).
fof(f14,negated_conjecture,
! [X2,X0,X1] :
( ~ truth(isa(asked,X0))
| ~ truth(isa(other,X1))
| ~ says(asked,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_answer) ).
fof(f16,definition,
( spl0_1
<=> ! [X2] : ~ says(asked,X2) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f17,plain,
( ! [X2] : ~ says(asked,X2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f19,definition,
( spl0_2
<=> ! [X1] : ~ truth(isa(other,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f20,plain,
( ! [X1] : ~ truth(isa(other,X1))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f22,definition,
( spl0_3
<=> ! [X0] : ~ truth(isa(asked,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f23,plain,
( ! [X0] : ~ truth(isa(asked,X0))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f24,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f14,f22,f19,f16]) ).
fof(f83,plain,
( says(asked,not(or(isa(asked,knight),isa(other,knight))))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f5,f17]) ).
fof(f84,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f83,f17]) ).
fof(f85,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f84]) ).
fof(f98,plain,
( truth(isa(other,knight))
| ~ person(other)
| ~ spl0_2 ),
inference(resolution,[],[f1,f20]) ).
fof(f99,plain,
( ~ person(other)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f98,f20]) ).
fof(f100,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f99,f13]) ).
fof(f101,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f100]) ).
fof(f102,plain,
( truth(isa(asked,knight))
| ~ person(asked)
| ~ spl0_3 ),
inference(resolution,[],[f23,f1]) ).
fof(f103,plain,
( ~ person(asked)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f102,f23]) ).
fof(f104,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f103,f12]) ).
fof(f105,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f104]) ).
cnf(s16,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f24]) ).
cnf(s72,plain,
~ spl0_1,
inference(sat_conversion,[],[f85]) ).
cnf(s83,plain,
~ spl0_2,
inference(sat_conversion,[],[f101]) ).
cnf(s88,plain,
~ spl0_3,
inference(sat_conversion,[],[f105]) ).
cnf(s89,plain,
$false,
inference(rat,[],[s16,s88,s83,s72]) ).
fof(f106,plain,
$false,
inference(avatar_sat_refutation,[],[s89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ035-4 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 22:35:55 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.39 Running first-order model finding
% 0.08/0.40 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
% 0.08/0.43 % (1667568)Will run a generic schedule for satisfiability detection.
% 0.08/0.43 % (1667575)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1600921880:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.43 % (1667575) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1667568-1667575"...
% 0.08/0.43 % (1667575)...printing done.
% 0.08/0.43 % (1667574)% WARNING: option uhcvi not known.
% 0.08/0.43 % (1667575)Refutation found. Thanks to Tanya!
% 0.08/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.43 % (1667575)------------------------------
% 0.08/0.43 % (1667575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.43 % (1667575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.43 % (1667575)CaDiCaL version: 2.1.3
% 0.08/0.43 % (1667575)Termination reason: Refutation
% 0.08/0.43 % (1667575)Time elapsed: 0.002 s
% 0.08/0.43 % (1667575)Peak memory usage: 11 MB
% 0.08/0.43 % (1667575)Instructions burned: 2 (million)
% 0.08/0.43 % (1667568)Success in time 0.028 s
% 0.08/0.43 % Vampire exiting
%------------------------------------------------------------------------------