%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ014-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 : Sun Sep 27 08:22:44 AM UTC 2026
% Result : Unsatisfiable 0.08s 20.45s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 52 ( 15 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 123 ( 61 ~; 62 |; 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 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(c1,axiom,
( some_monitors_are_awake
| ~ some_english_sing_not
| ~ some_english_sing ),
file('theBenchmark.p',c1) ).
cnf(c_1,plain,
( some_monitors_are_awake
| ~ some_english_sing_not
| ~ some_english_sing ),
inference(clausify,[status(thm)],[c1]) ).
fof(c2,axiom,
( some_welsh_eat
| ~ some_irish_fight
| ~ some_scotch_dance ),
file('theBenchmark.p',c2) ).
cnf(c_2,plain,
( some_welsh_eat
| ~ some_irish_fight
| ~ some_scotch_dance ),
inference(clausify,[status(thm)],[c2]) ).
fof(c3,axiom,
( some_of_the_eleven_are_not_oiling
| some_germans_play_not
| ~ some_germans_play ),
file('theBenchmark.p',c3) ).
cnf(c_3,plain,
( some_of_the_eleven_are_not_oiling
| some_germans_play_not
| ~ some_germans_play ),
inference(clausify,[status(thm)],[c3]) ).
fof(c4,axiom,
( some_irish_fight
| ~ some_monitors_are_not_awake
| ~ some_monitors_are_awake ),
file('theBenchmark.p',c4) ).
cnf(c_4,plain,
( some_irish_fight
| ~ some_monitors_are_not_awake
| ~ some_monitors_are_awake ),
inference(clausify,[status(thm)],[c4]) ).
fof(c5,axiom,
( some_welsh_eat_not
| some_scotch_dance
| ~ some_germans_play ),
file('theBenchmark.p',c5) ).
cnf(c_5,plain,
( some_welsh_eat_not
| some_scotch_dance
| ~ some_germans_play ),
inference(clausify,[status(thm)],[c5]) ).
fof(c6,axiom,
( some_germans_play
| ~ some_irish_fight_not
| ~ some_scotch_dance_not ),
file('theBenchmark.p',c6) ).
cnf(c_6,plain,
( some_germans_play
| ~ some_irish_fight_not
| ~ some_scotch_dance_not ),
inference(clausify,[status(thm)],[c6]) ).
fof(c7,axiom,
( ~ some_scotch_dance
| ~ some_welsh_eat
| ~ some_monitors_are_awake ),
file('theBenchmark.p',c7) ).
cnf(c_7,plain,
( ~ some_scotch_dance
| ~ some_welsh_eat
| ~ some_monitors_are_awake ),
inference(clausify,[status(thm)],[c7]) ).
fof(c8,axiom,
( ~ some_irish_fight
| ~ some_welsh_eat_not
| ~ some_germans_play_not ),
file('theBenchmark.p',c8) ).
cnf(c_8,plain,
( ~ some_irish_fight
| ~ some_welsh_eat_not
| ~ some_germans_play_not ),
inference(clausify,[status(thm)],[c8]) ).
fof(c9,axiom,
( ~ some_germans_play
| ~ some_scotch_dance_not
| some_english_sing_not
| ~ some_english_sing ),
file('theBenchmark.p',c9) ).
cnf(c_9,plain,
( ~ some_germans_play
| ~ some_scotch_dance_not
| some_english_sing_not
| ~ some_english_sing ),
inference(clausify,[status(thm)],[c9]) ).
fof(c10,axiom,
( some_irish_fight_not
| ~ some_monitors_are_not_awake
| ~ some_english_sing ),
file('theBenchmark.p',c10) ).
cnf(c_10,plain,
( some_irish_fight_not
| ~ some_monitors_are_not_awake
| ~ some_english_sing ),
inference(clausify,[status(thm)],[c10]) ).
fof(c11,axiom,
( some_scotch_dance
| ~ some_of_the_eleven_are_not_oiling
| ~ some_monitors_are_awake ),
file('theBenchmark.p',c11) ).
cnf(c_11,plain,
( some_scotch_dance
| ~ some_of_the_eleven_are_not_oiling
| ~ some_monitors_are_awake ),
inference(clausify,[status(thm)],[c11]) ).
fof(c18,axiom,
some_english_sing,
file('theBenchmark.p',c18) ).
cnf(c_18,plain,
some_english_sing,
inference(clausify,[status(thm)],[c18]) ).
fof(c19,axiom,
some_scotch_dance_not,
file('theBenchmark.p',c19) ).
cnf(c_19,plain,
some_scotch_dance_not,
inference(clausify,[status(thm)],[c19]) ).
fof(prove_all_monitors_are_awake,axiom,
some_monitors_are_not_awake,
file('theBenchmark.p',prove_all_monitors_are_awake) ).
cnf(c_20,plain,
some_monitors_are_not_awake,
inference(clausify,[status(thm)],[prove_all_monitors_are_awake]) ).
cnf(c_41,plain,
( some_irish_fight_not
| ~ some_monitors_are_not_awake ),
inference(resolve,[status(thm)],[c_18,c_10]) ).
cnf(c_21,plain,
some_irish_fight_not,
inference(resolve,[status(thm)],[c_20,c_41]) ).
cnf(c_42,plain,
( ~ some_germans_play
| ~ some_scotch_dance_not
| some_english_sing_not ),
inference(resolve,[status(thm)],[c_18,c_9]) ).
cnf(c_22,plain,
( ~ some_germans_play
| some_english_sing_not ),
inference(resolve,[status(thm)],[c_19,c_42]) ).
cnf(c_23,plain,
( some_monitors_are_awake
| ~ some_english_sing_not ),
inference(resolve,[status(thm)],[c_18,c_1]) ).
cnf(c_43,plain,
( some_germans_play
| ~ some_irish_fight_not ),
inference(resolve,[status(thm)],[c_19,c_6]) ).
cnf(c_24,plain,
some_germans_play,
inference(resolve,[status(thm)],[c_21,c_43]) ).
cnf(c_25,plain,
( some_irish_fight
| ~ some_monitors_are_awake ),
inference(resolve,[status(thm)],[c_20,c_4]) ).
cnf(c_26,plain,
some_english_sing_not,
inference(resolve,[status(thm)],[c_24,c_22]) ).
cnf(c_27,plain,
( some_welsh_eat_not
| some_scotch_dance ),
inference(resolve,[status(thm)],[c_24,c_5]) ).
cnf(c_28,plain,
( some_of_the_eleven_are_not_oiling
| some_germans_play_not ),
inference(resolve,[status(thm)],[c_24,c_3]) ).
cnf(c_29,plain,
some_monitors_are_awake,
inference(resolve,[status(thm)],[c_26,c_23]) ).
cnf(c_30,plain,
some_irish_fight,
inference(resolve,[status(thm)],[c_29,c_25]) ).
cnf(c_31,plain,
( some_scotch_dance
| ~ some_of_the_eleven_are_not_oiling ),
inference(resolve,[status(thm)],[c_29,c_11]) ).
cnf(c_32,plain,
( ~ some_scotch_dance
| ~ some_welsh_eat ),
inference(resolve,[status(thm)],[c_29,c_7]) ).
cnf(c_33,plain,
( ~ some_welsh_eat_not
| ~ some_germans_play_not ),
inference(resolve,[status(thm)],[c_30,c_8]) ).
cnf(c_34,plain,
( some_welsh_eat
| ~ some_scotch_dance ),
inference(resolve,[status(thm)],[c_30,c_2]) ).
cnf(c_35,plain,
( some_germans_play_not
| some_scotch_dance ),
inference(resolve,[status(thm)],[c_31,c_28]) ).
cnf(c_36,plain,
( some_scotch_dance
| ~ some_germans_play_not ),
inference(resolve,[status(thm)],[c_33,c_27]) ).
cnf(c_44,plain,
( some_scotch_dance
| some_scotch_dance ),
inference(resolve,[status(thm)],[c_36,c_35]) ).
cnf(c_38,plain,
some_scotch_dance,
inference(copy,[status(thm)],[c_44]) ).
cnf(c_39,plain,
some_welsh_eat,
inference(resolve,[status(thm)],[c_38,c_34]) ).
cnf(c_45,plain,
~ some_scotch_dance,
inference(resolve,[status(thm)],[c_39,c_32]) ).
cnf(c_40,plain,
$false,
inference(resolve,[status(thm)],[c_38,c_45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.08/20.43 % CPULimit : 300
% 0.08/20.43 % WCLimit : 300
% 0.08/20.44 % DateTime : Sat Sep 26 05:03:29 UTC 2026
% 0.08/20.44 % CPUTime :
% 0.08/20.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/20.44 % Process 1968600 was started by sandbox2 on n013,
% 0.08/20.44 % Sat Sep 26 05:03:29 2026
% 0.08/20.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/20.44
% 0.08/20.44 % From the command line: assign(max_seconds, 300).
% 0.08/20.45
% 0.08/20.45 % SZS status Unsatisfiable for theBenchmark
% 0.08/20.45
% 0.08/20.45 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.08/20.45 % Length of proof is 33.
% 0.08/20.45 % Level of proof is 10.
% 0.08/20.45 % Maximum clause weight is 4.000.
% 0.08/20.45 % Given clauses 17.
% 0.08/20.45
% 0.08/20.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------