%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ014-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 27
% Syntax : Number of formulae : 71 ( 20 unt; 13 def)
% Number of atoms : 158 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 164 ( 77 ~; 74 |; 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/sandbox/benchmark/theBenchmark.p',c1) ).
fof(f2,axiom,
( ~ some_scotch_dance
| ~ some_irish_fight
| some_welsh_eat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2) ).
fof(f3,axiom,
( ~ some_germans_play
| some_germans_play_not
| some_of_the_eleven_are_not_oiling ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).
fof(f4,axiom,
( ~ some_monitors_are_awake
| ~ some_monitors_are_not_awake
| some_irish_fight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4) ).
fof(f5,axiom,
( ~ some_germans_play
| some_scotch_dance
| some_welsh_eat_not ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).
fof(f6,axiom,
( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6) ).
fof(f7,axiom,
( ~ some_monitors_are_awake
| ~ some_welsh_eat
| ~ some_scotch_dance ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c7) ).
fof(f8,axiom,
( ~ some_germans_play_not
| ~ some_welsh_eat_not
| ~ some_irish_fight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c8) ).
fof(f9,axiom,
( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).
fof(f10,axiom,
( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
fof(f11,axiom,
( ~ some_monitors_are_awake
| ~ some_of_the_eleven_are_not_oiling
| some_scotch_dance ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
fof(f18,axiom,
some_english_sing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c18) ).
fof(f19,axiom,
some_scotch_dance_not,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c19) ).
fof(f20,negated_conjecture,
some_monitors_are_not_awake,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_all_monitors_are_awake) ).
fof(f22,definition,
( spl0_1
<=> some_germans_play_not ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f26,definition,
( spl0_2
<=> some_germans_play ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f31,definition,
( spl0_3
<=> some_welsh_eat_not ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f35,definition,
( spl0_4
<=> some_welsh_eat ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f40,definition,
( spl0_5
<=> some_irish_fight_not ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f44,definition,
( spl0_6
<=> some_irish_fight ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f49,definition,
( spl0_7
<=> some_scotch_dance_not ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f53,definition,
( spl0_8
<=> some_scotch_dance ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f58,definition,
( spl0_9
<=> some_monitors_are_awake ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f62,definition,
( spl0_10
<=> some_monitors_are_not_awake ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f67,definition,
( spl0_11
<=> some_english_sing ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f71,definition,
( spl0_12
<=> some_english_sing_not ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f76,definition,
( spl0_13
<=> some_of_the_eleven_are_not_oiling ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f79,plain,
( spl0_8
| ~ spl0_13
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f11,f58,f76,f53]) ).
fof(f80,plain,
( spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f10,f67,f62,f40]) ).
fof(f81,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_12
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f9,f67,f71,f49,f26]) ).
fof(f82,plain,
( ~ spl0_6
| ~ spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f8,f22,f31,f44]) ).
fof(f83,plain,
( ~ spl0_8
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f7,f58,f35,f53]) ).
fof(f84,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f6,f49,f40,f26]) ).
fof(f85,plain,
( spl0_3
| spl0_8
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f5,f26,f53,f31]) ).
fof(f86,plain,
( spl0_6
| ~ spl0_10
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f4,f58,f62,f44]) ).
fof(f87,plain,
( spl0_13
| spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3,f26,f22,f76]) ).
fof(f88,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f2,f53,f44,f35]) ).
fof(f89,plain,
( spl0_9
| ~ spl0_12
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1,f67,f71,f58]) ).
fof(f90,plain,
spl0_10,
inference(avatar_split_clause,[],[f20,f62]) ).
fof(f91,plain,
spl0_11,
inference(avatar_split_clause,[],[f18,f67]) ).
fof(f92,plain,
spl0_7,
inference(avatar_split_clause,[],[f19,f49]) ).
cnf(s7,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(sat_conversion,[],[f79]) ).
cnf(s8,plain,
( spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f80]) ).
cnf(s9,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f81]) ).
cnf(s10,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f82]) ).
cnf(s11,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f83]) ).
cnf(s12,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f84]) ).
cnf(s13,plain,
( ~ spl0_2
| spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f85]) ).
cnf(s14,plain,
( spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f86]) ).
cnf(s15,plain,
( spl0_1
| ~ spl0_2
| spl0_13 ),
inference(sat_conversion,[],[f87]) ).
cnf(s16,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f88]) ).
cnf(s17,plain,
( spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f89]) ).
cnf(s18,plain,
spl0_10,
inference(sat_conversion,[],[f90]) ).
cnf(s19,plain,
spl0_11,
inference(sat_conversion,[],[f91]) ).
cnf(s20,plain,
spl0_7,
inference(sat_conversion,[],[f92]) ).
cnf(s21,plain,
( spl0_9
| ~ spl0_12 ),
inference(rat,[],[s17,s19]) ).
cnf(s22,plain,
( spl0_6
| ~ spl0_9 ),
inference(rat,[],[s14,s18]) ).
cnf(s23,plain,
( spl0_2
| ~ spl0_5 ),
inference(rat,[],[s12,s20]) ).
cnf(s24,plain,
( ~ spl0_2
| spl0_12 ),
inference(rat,[],[s9,s19,s20]) ).
cnf(s25,plain,
spl0_5,
inference(rat,[],[s8,s19,s18]) ).
cnf(s26,plain,
spl0_2,
inference(rat,[],[s23,s25]) ).
cnf(s27,plain,
spl0_12,
inference(rat,[],[s24,s26]) ).
cnf(s28,plain,
spl0_9,
inference(rat,[],[s21,s27]) ).
cnf(s29,plain,
spl0_6,
inference(rat,[],[s22,s28]) ).
cnf(s30,plain,
( spl0_8
| ~ spl0_13 ),
inference(rat,[],[s7,s28]) ).
cnf(s31,plain,
~ spl0_8,
inference(rat,[],[s16,s11,s29,s28]) ).
cnf(s32,plain,
spl0_3,
inference(rat,[],[s13,s26,s31]) ).
cnf(s33,plain,
~ spl0_13,
inference(rat,[],[s30,s31]) ).
cnf(s34,plain,
~ spl0_1,
inference(rat,[],[s10,s29,s32]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s15,s26,s33,s34]) ).
fof(f93,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n014.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 22:29:16 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.19/0.48 % (1230977)Will run a generic schedule for satisfiability detection.
% 0.19/0.48 % (1230989)dis+10_1_sil=32000:sp=arity:random_seed=2274839554:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.48 % (1230989) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1230977-1230989"...
% 0.19/0.48 % (1230989)...printing done.
% 0.19/0.48 % (1230989)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (1230989)------------------------------
% 0.19/0.48 % (1230989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.48 % (1230989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.48 % (1230989)CaDiCaL version: 2.1.3
% 0.19/0.48 % (1230989)Termination reason: Refutation
% 0.19/0.48 % (1230989)Time elapsed: 0.001 s
% 0.19/0.48 % (1230989)Peak memory usage: 11 MB
% 0.19/0.48 % (1230989)Instructions burned: 1 (million)
% 0.19/0.48 % (1230977)Success in time 0.03 s
% 0.19/0.48 % Vampire exiting
%------------------------------------------------------------------------------