%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ013-1 : 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 : n014.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 12:31:52 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.44s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 18
% Syntax : Number of formulae : 36 ( 6 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 95 ( 43 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 14 ( 13 usr; 14 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).
fof(f2,axiom,
( ~ some_scotch_dance
| ~ some_irish_fight
| some_welsh_eat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2) ).
fof(f3,axiom,
( ~ some_germans_play
| some_germans_play_not
| some_of_the_eleven_are_not_oiling ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).
fof(f5,axiom,
( ~ some_germans_play
| some_scotch_dance
| some_welsh_eat_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5) ).
fof(f6,axiom,
( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).
fof(f7,axiom,
( ~ some_monitors_are_awake
| ~ some_welsh_eat
| ~ some_scotch_dance ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c7) ).
fof(f8,axiom,
( ~ some_germans_play_not
| ~ some_welsh_eat_not
| ~ some_irish_fight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c8) ).
fof(f9,axiom,
( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).
fof(f10,axiom,
( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
fof(f11,axiom,
( ~ some_monitors_are_awake
| ~ some_of_the_eleven_are_not_oiling
| some_scotch_dance ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).
fof(f13,axiom,
( some_monitors_are_not_awake
| some_monitors_are_awake ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c13) ).
fof(f14,axiom,
( some_scotch_dance
| some_scotch_dance_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c14) ).
fof(f15,axiom,
( some_irish_fight
| some_irish_fight_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c15) ).
fof(f16,axiom,
( some_welsh_eat
| some_welsh_eat_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c16) ).
fof(f17,axiom,
( some_germans_play
| some_germans_play_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c17) ).
fof(f18,axiom,
some_english_sing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c18) ).
fof(f19,axiom,
some_scotch_dance_not,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c19) ).
fof(f20,negated_conjecture,
~ some_monitors_are_awake,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_some_monitors_are_awake) ).
fof(f21,plain,
( some_english_sing
| some_english_sing_not
| ~ some_monitors_are_awake ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f22,plain,
( some_scotch_dance
| some_irish_fight
| ~ some_welsh_eat ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f23,plain,
( some_germans_play
| ~ some_germans_play_not
| ~ some_of_the_eleven_are_not_oiling ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f24,plain,
( some_germans_play
| ~ some_scotch_dance
| some_welsh_eat_not ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f25,plain,
( ~ some_scotch_dance_not
| some_irish_fight_not
| ~ some_germans_play ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f26,plain,
( some_monitors_are_awake
| some_welsh_eat
| some_scotch_dance ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f27,plain,
( some_germans_play_not
| ~ some_welsh_eat_not
| some_irish_fight ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f28,plain,
( some_english_sing
| ~ some_english_sing_not
| ~ some_scotch_dance_not
| some_germans_play ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f29,plain,
( some_english_sing
| some_monitors_are_not_awake
| ~ some_irish_fight_not ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f30,plain,
( some_monitors_are_awake
| some_of_the_eleven_are_not_oiling
| ~ some_scotch_dance ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f31,plain,
( ~ some_monitors_are_not_awake
| ~ some_monitors_are_awake ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f32,plain,
( ~ some_scotch_dance
| some_scotch_dance_not ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f33,plain,
( ~ some_irish_fight
| ~ some_irish_fight_not ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f34,plain,
( ~ some_welsh_eat
| some_welsh_eat_not ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f35,plain,
( ~ some_germans_play
| ~ some_germans_play_not ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f36,plain,
~ some_english_sing,
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f37,plain,
some_monitors_are_awake,
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f38,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f19,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n014.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 22:29:17 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.44 % (1231200)Will run a generic schedule for satisfiability detection.
% 0.12/0.44 % (1231206)% WARNING: option uhcvi not known.
% 0.12/0.44 % (1231205)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1417749871_3000 on theBenchmark for (3000ds/0Mi)
% 0.12/0.44 % The problem is propositional so there are no sorts!
% 0.12/0.44 % TRYING []
% 0.12/0.44 % (1231205) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1231200-1231205"...
% 0.12/0.44 % (1231208)dis+10_1_sil=32000:sp=arity:random_seed=2589237451:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.12/0.44 % (1231205)...printing done.
% 0.12/0.44 % (1231206)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2779377536:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.12/0.44 % (1231207)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2006351982:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.12/0.44 % (1231209)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2565320720:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.12/0.44 % (1231210)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4051620358:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.12/0.44 % (1231211)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1960719930:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.12/0.44 % (1231205)Refutation found. Thanks to Tanya!
% 0.12/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.44 % (1231205)------------------------------
% 0.12/0.44 % (1231205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.44 % (1231205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.44 % (1231205)CaDiCaL version: 2.1.3
% 0.12/0.44 % (1231205)Termination reason: Refutation
% 0.12/0.44 % (1231205)Time elapsed: 0.0000 s
% 0.12/0.44 % (1231205)Peak memory usage: 11 MB
% 0.12/0.44 % (1231200)Success in time 0.021 s
% 0.12/0.44 % Vampire exiting
%------------------------------------------------------------------------------