%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ014-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:31:12 PM UTC 2026
% Result : Unsatisfiable 2.66s 1.35s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 27
% Syntax : Number of formulae : 70 ( 18 unt; 13 def)
% Number of atoms : 158 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 161 ( 73 ~; 75 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 27 ( 26 usr; 27 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,
( ~ 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(f4,axiom,
( ~ some_monitors_are_awake
| ~ some_monitors_are_not_awake
| some_irish_fight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4) ).
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(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_not_awake,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_all_monitors_are_awake) ).
fof(f22,definition,
( spl0_1
<=> some_scotch_dance ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f25,definition,
( spl0_2
<=> some_of_the_eleven_are_not_oiling ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f28,definition,
( spl0_3
<=> some_monitors_are_awake ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f30,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f11,f28,f25,f22]) ).
fof(f33,definition,
( spl0_4
<=> some_english_sing_not ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f36,definition,
( spl0_5
<=> some_english_sing ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f38,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1,f36,f33,f28]) ).
fof(f44,definition,
( spl0_6
<=> some_welsh_eat ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f46,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f7,f28,f44,f22]) ).
fof(f48,definition,
( spl0_7
<=> some_welsh_eat_not ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f51,definition,
( spl0_8
<=> some_germans_play ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f53,plain,
( spl0_7
| spl0_1
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f5,f51,f22,f48]) ).
fof(f58,definition,
( spl0_9
<=> some_germans_play_not ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f60,plain,
( spl0_2
| spl0_9
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f3,f51,f58,f25]) ).
fof(f64,definition,
( spl0_10
<=> some_scotch_dance_not ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f66,plain,
( ~ spl0_8
| ~ spl0_10
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f9,f36,f33,f64,f51]) ).
fof(f69,plain,
spl0_10,
inference(avatar_split_clause,[],[f19,f64]) ).
fof(f71,definition,
( spl0_11
<=> some_irish_fight ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f73,plain,
( spl0_6
| ~ spl0_11
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2,f22,f71,f44]) ).
fof(f76,plain,
( ~ spl0_11
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f8,f58,f48,f71]) ).
fof(f78,definition,
( spl0_12
<=> some_irish_fight_not ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f80,plain,
( spl0_8
| ~ spl0_12
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f6,f64,f78,f51]) ).
fof(f84,plain,
spl0_5,
inference(avatar_split_clause,[],[f18,f36]) ).
fof(f86,definition,
( spl0_13
<=> some_monitors_are_not_awake ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f88,plain,
( spl0_11
| ~ spl0_13
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f4,f28,f86,f71]) ).
fof(f89,plain,
( spl0_12
| ~ spl0_13
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f10,f36,f86,f78]) ).
fof(f92,plain,
spl0_13,
inference(avatar_split_clause,[],[f20,f86]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f30]) ).
cnf(s2,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f38]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f46]) ).
cnf(s5,plain,
( spl0_1
| spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f53]) ).
cnf(s7,plain,
( spl0_2
| ~ spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f60]) ).
cnf(s9,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f66]) ).
cnf(s11,plain,
spl0_10,
inference(sat_conversion,[],[f69]) ).
cnf(s12,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_11 ),
inference(sat_conversion,[],[f73]) ).
cnf(s13,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f76]) ).
cnf(s14,plain,
( spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(sat_conversion,[],[f80]) ).
cnf(s16,plain,
spl0_5,
inference(sat_conversion,[],[f84]) ).
cnf(s17,plain,
( ~ spl0_3
| spl0_11
| ~ spl0_13 ),
inference(sat_conversion,[],[f88]) ).
cnf(s18,plain,
( ~ spl0_5
| spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f89]) ).
cnf(s20,plain,
spl0_13,
inference(sat_conversion,[],[f92]) ).
cnf(s21,plain,
( ~ spl0_5
| spl0_12 ),
inference(rat,[],[s18,s20]) ).
cnf(s22,plain,
( ~ spl0_3
| spl0_11 ),
inference(rat,[],[s17,s20]) ).
cnf(s23,plain,
spl0_12,
inference(rat,[],[s21,s16]) ).
cnf(s24,plain,
( spl0_8
| ~ spl0_10 ),
inference(rat,[],[s14,s23]) ).
cnf(s25,plain,
spl0_8,
inference(rat,[],[s24,s11]) ).
cnf(s26,plain,
spl0_4,
inference(rat,[],[s9,s11,s25,s16]) ).
cnf(s27,plain,
( spl0_2
| spl0_9 ),
inference(rat,[],[s7,s25]) ).
cnf(s28,plain,
( spl0_1
| spl0_7 ),
inference(rat,[],[s5,s25]) ).
cnf(s29,plain,
spl0_3,
inference(rat,[],[s2,s16,s26]) ).
cnf(s30,plain,
spl0_11,
inference(rat,[],[s22,s29]) ).
cnf(s31,plain,
( spl0_1
| ~ spl0_2 ),
inference(rat,[],[s1,s29]) ).
cnf(s32,plain,
spl0_1,
inference(rat,[],[s27,s13,s31,s28,s30]) ).
cnf(s33,plain,
spl0_6,
inference(rat,[],[s12,s30,s32]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s4,s29,s33,s32]) ).
fof(f93,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:29:17 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.66/1.35 % (232541)Input is clausal, will run a generic CNF schedule.
% 2.66/1.35 % (232550)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2003065576:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.66/1.35 % (232550)First to succeed.
% 2.66/1.35 % (232550)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-232541"
% 2.66/1.35 % (232547)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2133259815:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.66/1.35 % (232548)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1653691317:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.66/1.35 % (232552)dis-21_1_sil=8000:lcm=predicate:random_seed=3741852954:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.66/1.35 % (232549)lrs+10_1_sil=8000:sp=occurrence:random_seed=2727496169:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.66/1.35 % (232551)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2243977324:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.66/1.35 % (232546)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=2683611507:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.66/1.35 % (232549)Also succeeded, but the first one will report.
% 2.66/1.35 % (232551)Also succeeded, but the first one will report.
% 2.66/1.35 % (232552)Also succeeded, but the first one will report.
% 2.66/1.35 % (232550)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 % (232550)------------------------------
% 2.66/1.35 % (232550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.35 % (232550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.35 % (232550)CaDiCaL version: 2.1.3
% 2.66/1.35 % (232550)Termination reason: Refutation
% 2.66/1.35 % (232550)Time elapsed: 0.001 s
% 2.66/1.35 % (232550)Peak memory usage: 88 MB
% 2.66/1.35 % (232550)Instructions burned: 1 (million)
% 2.66/1.35 % (232550)------------------------------
% 2.66/1.35 % (232550)------------------------------
% 2.66/1.35 % (232541)Success in time 0.291 s
% 2.66/1.35 % Vampire exiting
%------------------------------------------------------------------------------