%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:31:03 PM UTC 2026
% Result : Unsatisfiable 2.66s 1.35s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of formulae : 55 ( 16 unt; 10 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 75 ( 36 ~; 29 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 21 ( 20 usr; 21 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/sandbox/benchmark/theBenchmark.p',dated_on_blue_paper) ).
fof(f3,axiom,
( in_third_person
| ~ in_black_ink ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',black_ink_in_third_person) ).
fof(f4,axiom,
( ~ can_be_read
| ~ filed ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_filed_if_read) ).
fof(f5,axiom,
( ~ on_one_sheet
| dated ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dated_if_on_one_sheet) ).
fof(f6,axiom,
( crossed
| in_black_ink ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_crossed_in_black_ink) ).
fof(f7,axiom,
( ~ by_brown
| begins_with_dear_sir ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',brown_starts_with_sir) ).
fof(f8,axiom,
( ~ on_blue_paper
| filed ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filed_if_on_blue_paper) ).
fof(f9,axiom,
( on_one_sheet
| ~ crossed ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',on_one_sheet_if_crossed) ).
fof(f10,axiom,
( ~ begins_with_dear_sir
| ~ in_third_person ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_dear_sirs_in_third_person) ).
fof(f11,axiom,
by_brown,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',letter_by_brown) ).
fof(f12,negated_conjecture,
can_be_read,
file('/export/starexec/sandbox/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(f41,definition,
( spl0_7
<=> by_brown ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f43,plain,
( ~ by_brown
| spl0_7 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,plain,
( spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f7,f41,f18]) ).
fof(f46,definition,
( spl0_8
<=> in_black_ink ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f49,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f6,f23,f46]) ).
fof(f51,definition,
( spl0_9
<=> dated ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f54,plain,
( spl0_9
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f5,f27,f51]) ).
fof(f56,definition,
( spl0_10
<=> can_be_read ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f59,plain,
( ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f4,f56,f32]) ).
fof(f60,plain,
( ~ spl0_8
| spl0_1 ),
inference(avatar_split_clause,[],[f3,f14,f46]) ).
fof(f62,plain,
( spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1,f51,f36]) ).
fof(f63,plain,
spl0_10,
inference(avatar_split_clause,[],[f12,f56]) ).
fof(f64,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f11,f43]) ).
fof(f65,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f64]) ).
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_2
| ~ spl0_7 ),
inference(sat_conversion,[],[f44]) ).
cnf(s5,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f49]) ).
cnf(s6,plain,
( ~ spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f54]) ).
cnf(s7,plain,
( ~ spl0_5
| ~ spl0_10 ),
inference(sat_conversion,[],[f59]) ).
cnf(s8,plain,
( spl0_1
| ~ spl0_8 ),
inference(sat_conversion,[],[f60]) ).
cnf(s10,plain,
( spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f62]) ).
cnf(s11,plain,
spl0_10,
inference(sat_conversion,[],[f63]) ).
cnf(s12,plain,
spl0_7,
inference(sat_conversion,[],[f65]) ).
cnf(s13,plain,
~ spl0_5,
inference(rat,[],[s7,s11]) ).
cnf(s14,plain,
spl0_2,
inference(rat,[],[s4,s12]) ).
cnf(s15,plain,
~ spl0_6,
inference(rat,[],[s3,s13]) ).
cnf(s16,plain,
~ spl0_9,
inference(rat,[],[s10,s15]) ).
cnf(s17,plain,
~ spl0_4,
inference(rat,[],[s6,s16]) ).
cnf(s18,plain,
~ spl0_3,
inference(rat,[],[s2,s17]) ).
cnf(s19,plain,
spl0_8,
inference(rat,[],[s5,s18]) ).
cnf(s20,plain,
spl0_1,
inference(rat,[],[s8,s19]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s1,s14,s20]) ).
fof(f66,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n003.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 22:30:42 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/1.35 % (981289)Input is clausal, will run a generic CNF schedule.
% 2.66/1.35 % (981369)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4246456350:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 2.66/1.35 % (981369)First to succeed.
% 2.66/1.35 % (981369)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-981289"
% 2.66/1.35 % (981367)lrs+10_1_sil=8000:sp=occurrence:random_seed=2801800829:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 2.66/1.35 % (981366)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1211243262:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 2.66/1.35 % (981364)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1311344923:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 2.66/1.35 % (981367)Refutation not found, incomplete strategy
% 2.66/1.35 % (981367)------------------------------
% 2.66/1.35 % (981367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.35 % (981367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.35 % (981367)CaDiCaL version: 2.1.3
% 2.66/1.35 % (981367)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.35 % (981367)Time elapsed: 0.001 s
% 2.66/1.35 % (981367)Peak memory usage: 88 MB
% 2.66/1.35 % (981365)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3330618938:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 2.66/1.35 % (981368)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4241214580:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 2.66/1.35 % (981368)Also succeeded, but the first one will report.
% 2.66/1.35 % (981370)dis-21_1_sil=8000:lcm=predicate:random_seed=3585404373:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 2.66/1.35 % (981370)Also succeeded, but the first one will report.
% 2.66/1.35 % (981369)Refutation found. Thanks to Tanya!
% 2.66/1.35 % SZS status Unsatisfiable for theBenchmark
% 2.66/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.35 % (981369)------------------------------
% 2.66/1.35 % (981369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.35 % (981369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.35 % (981369)CaDiCaL version: 2.1.3
% 2.66/1.35 % (981369)Termination reason: Refutation
% 2.66/1.35 % (981369)Time elapsed: 0.001 s
% 2.66/1.35 % (981369)Peak memory usage: 89 MB
% 2.66/1.35 % (981369)Instructions burned: 1 (million)
% 2.66/1.35 % (981369)------------------------------
% 2.66/1.35 % (981369)------------------------------
% 2.66/1.35 % (981289)Success in time 0.281 s
% 2.66/1.35 % Vampire exiting
%------------------------------------------------------------------------------