%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 12:31:48 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.44s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 47 ( 16 unt; 8 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 62 ( 31 ~; 23 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 19 ( 18 usr; 19 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ~ dated
| on_blue_paper ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dated_on_blue_paper) ).
fof(f3,axiom,
( in_third_person
| ~ in_black_ink ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',black_ink_in_third_person) ).
fof(f4,axiom,
( ~ can_be_read
| ~ filed ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_filed_if_read) ).
fof(f5,axiom,
( ~ on_one_sheet
| dated ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dated_if_on_one_sheet) ).
fof(f6,axiom,
( crossed
| in_black_ink ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_crossed_in_black_ink) ).
fof(f7,axiom,
( ~ by_brown
| begins_with_dear_sir ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',brown_starts_with_sir) ).
fof(f8,axiom,
( ~ on_blue_paper
| filed ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filed_if_on_blue_paper) ).
fof(f9,axiom,
( on_one_sheet
| ~ crossed ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',on_one_sheet_if_crossed) ).
fof(f10,axiom,
( ~ begins_with_dear_sir
| ~ in_third_person ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_dear_sirs_in_third_person) ).
fof(f11,axiom,
by_brown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',letter_by_brown) ).
fof(f12,negated_conjecture,
can_be_read,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_it_cannot_be_read) ).
fof(f14,definition,
( spl0_1
<=> in_third_person ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f18,definition,
( spl0_2
<=> begins_with_dear_sir ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f21,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f10,f18,f14]) ).
fof(f23,definition,
( spl0_3
<=> crossed ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f27,definition,
( spl0_4
<=> on_one_sheet ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f30,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f9,f27,f23]) ).
fof(f32,definition,
( spl0_5
<=> filed ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f36,definition,
( spl0_6
<=> on_blue_paper ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f39,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f8,f36,f32]) ).
fof(f40,plain,
begins_with_dear_sir,
inference(forward_subsumption_resolution,[],[f7,f11]) ).
fof(f42,definition,
( spl0_7
<=> in_black_ink ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f45,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f6,f23,f42]) ).
fof(f47,definition,
( spl0_8
<=> dated ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f50,plain,
( spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f5,f27,f47]) ).
fof(f51,plain,
~ filed,
inference(forward_subsumption_resolution,[],[f4,f12]) ).
fof(f52,plain,
( ~ spl0_7
| spl0_1 ),
inference(avatar_split_clause,[],[f3,f14,f42]) ).
fof(f53,plain,
( spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1,f47,f36]) ).
fof(f54,plain,
spl0_2,
inference(avatar_split_clause,[],[f40,f18]) ).
fof(f55,plain,
~ spl0_5,
inference(avatar_split_clause,[],[f51,f32]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f21]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f30]) ).
cnf(s3,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f39]) ).
cnf(s4,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f45]) ).
cnf(s5,plain,
( ~ spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f50]) ).
cnf(s6,plain,
( spl0_1
| ~ spl0_7 ),
inference(sat_conversion,[],[f52]) ).
cnf(s7,plain,
( spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f53]) ).
cnf(s8,plain,
spl0_2,
inference(sat_conversion,[],[f54]) ).
cnf(s9,plain,
~ spl0_5,
inference(sat_conversion,[],[f55]) ).
cnf(s10,plain,
~ spl0_6,
inference(rat,[],[s3,s9]) ).
cnf(s11,plain,
~ spl0_8,
inference(rat,[],[s7,s10]) ).
cnf(s12,plain,
~ spl0_4,
inference(rat,[],[s5,s11]) ).
cnf(s13,plain,
~ spl0_3,
inference(rat,[],[s2,s12]) ).
cnf(s14,plain,
spl0_7,
inference(rat,[],[s4,s13]) ).
cnf(s15,plain,
spl0_1,
inference(rat,[],[s6,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s1,s8,s15]) ).
fof(f56,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 22:29:00 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.44 % (2471384)Will run a generic schedule for satisfiability detection.
% 0.14/0.44 % (2471393)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4109893019:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.44 % (2471393) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2471384-2471393"...
% 0.14/0.44 % (2471393)...printing done.
% 0.14/0.44 % (2471393)Refutation found. Thanks to Tanya!
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.44 % (2471393)------------------------------
% 0.14/0.44 % (2471393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.44 % (2471393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.44 % (2471393)CaDiCaL version: 2.1.3
% 0.14/0.44 % (2471393)Termination reason: Refutation
% 0.14/0.44 % (2471393)Time elapsed: 0.001 s
% 0.14/0.44 % (2471393)Peak memory usage: 12 MB
% 0.14/0.44 % (2471393)Instructions burned: 1 (million)
% 0.14/0.44 % (2471384)Success in time 0.029 s
% 0.14/0.44 % Vampire exiting
%------------------------------------------------------------------------------