%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ014-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 : Fri Sep 25 02:31:50 PM UTC 2026
% Result : Unsatisfiable 3.66s 6.08s
% Output : Proof 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 77 ( 18 unt; 0 def)
% Number of atoms : 187 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 218 ( 108 ~; 110 |; 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 :
%------------------------------------------------------------------------------
cnf(f8,axiom,
( ~ some_germans_play
| ~ some_scotch_dance_not
| some_english_sing_not
| ~ some_english_sing ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).
fof(f8_nnf,plain,
( ~ some_germans_play
| ~ some_scotch_dance_not
| some_english_sing_not
| ~ some_english_sing ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
( ~ some_germans_play
| ~ some_scotch_dance_not
| some_english_sing_not
| ~ some_english_sing ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( ~ some_germans_play
| ~ some_scotch_dance_not
| some_english_sing_not
| ~ some_english_sing ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(f17,axiom,
some_english_sing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c18) ).
fof(f17_nnf,plain,
some_english_sing,
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c17,plain,
some_english_sing,
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(p31,plain,
( ~ some_germans_play
| ~ some_scotch_dance_not
| some_english_sing_not ),
inference(resolution,[status(thm)],[c8,c17]) ).
cnf(f18,axiom,
some_scotch_dance_not,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c19) ).
fof(f18_nnf,plain,
some_scotch_dance_not,
inference(nnf_transformation,[status(thm)],[f18]) ).
cnf(c18,plain,
some_scotch_dance_not,
inference(cnf_transformation,[status(esa)],[f18_nnf]) ).
cnf(p32,plain,
( ~ some_germans_play
| some_english_sing_not ),
inference(resolution,[status(thm)],[p31,c18]) ).
cnf(f9,axiom,
( some_irish_fight_not
| ~ some_monitors_are_not_awake
| ~ some_english_sing ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
fof(f9_nnf,plain,
( some_irish_fight_not
| ~ some_monitors_are_not_awake
| ~ some_english_sing ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
( some_irish_fight_not
| ~ some_monitors_are_not_awake
| ~ some_english_sing ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( some_irish_fight_not
| ~ some_monitors_are_not_awake
| ~ some_english_sing ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p26,plain,
( some_irish_fight_not
| ~ some_monitors_are_not_awake ),
inference(resolution,[status(thm)],[c9,c17]) ).
cnf(f19,negated_conjecture,
some_monitors_are_not_awake,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_all_monitors_are_awake) ).
fof(f19_nnf,plain,
some_monitors_are_not_awake,
inference(nnf_transformation,[status(thm)],[f19]) ).
cnf(c19,plain,
some_monitors_are_not_awake,
inference(cnf_transformation,[status(esa)],[f19_nnf]) ).
cnf(p27,plain,
some_irish_fight_not,
inference(resolution,[status(thm)],[p26,c19]) ).
cnf(f5,axiom,
( some_germans_play
| ~ some_irish_fight_not
| ~ some_scotch_dance_not ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6) ).
fof(f5_nnf,plain,
( some_germans_play
| ~ some_irish_fight_not
| ~ some_scotch_dance_not ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
( some_germans_play
| ~ some_irish_fight_not
| ~ some_scotch_dance_not ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( some_germans_play
| ~ some_irish_fight_not
| ~ some_scotch_dance_not ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p21,plain,
( some_germans_play
| ~ some_irish_fight_not ),
inference(resolution,[status(thm)],[c5,c18]) ).
cnf(p28,plain,
some_germans_play,
inference(resolution,[status(thm)],[p27,p21]) ).
cnf(p33,plain,
some_english_sing_not,
inference(resolution,[status(thm)],[p32,p28]) ).
cnf(f0,axiom,
( some_monitors_are_awake
| ~ some_english_sing_not
| ~ some_english_sing ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).
fof(f0_nnf,plain,
( some_monitors_are_awake
| ~ some_english_sing_not
| ~ some_english_sing ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( some_monitors_are_awake
| ~ some_english_sing_not
| ~ some_english_sing ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( some_monitors_are_awake
| ~ some_english_sing_not
| ~ some_english_sing ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p20,plain,
( some_monitors_are_awake
| ~ some_english_sing_not ),
inference(resolution,[status(thm)],[c0,c17]) ).
cnf(p34,plain,
some_monitors_are_awake,
inference(resolution,[status(thm)],[p33,p20]) ).
cnf(f10,axiom,
( some_scotch_dance
| ~ some_of_the_eleven_are_not_oiling
| ~ some_monitors_are_awake ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
fof(f10_nnf,plain,
( some_scotch_dance
| ~ some_of_the_eleven_are_not_oiling
| ~ some_monitors_are_awake ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
( some_scotch_dance
| ~ some_of_the_eleven_are_not_oiling
| ~ some_monitors_are_awake ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( some_scotch_dance
| ~ some_of_the_eleven_are_not_oiling
| ~ some_monitors_are_awake ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p37,plain,
( some_scotch_dance
| ~ some_of_the_eleven_are_not_oiling ),
inference(resolution,[status(thm)],[p34,c10]) ).
cnf(f2,axiom,
( some_of_the_eleven_are_not_oiling
| some_germans_play_not
| ~ some_germans_play ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).
fof(f2_nnf,plain,
( some_of_the_eleven_are_not_oiling
| some_germans_play_not
| ~ some_germans_play ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
( some_of_the_eleven_are_not_oiling
| some_germans_play_not
| ~ some_germans_play ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( some_of_the_eleven_are_not_oiling
| some_germans_play_not
| ~ some_germans_play ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p29,plain,
( some_of_the_eleven_are_not_oiling
| some_germans_play_not ),
inference(resolution,[status(thm)],[p28,c2]) ).
cnf(p39,plain,
( some_germans_play_not
| some_scotch_dance ),
inference(resolution,[status(thm)],[p37,p29]) ).
cnf(f7,axiom,
( ~ some_irish_fight
| ~ some_welsh_eat_not
| ~ some_germans_play_not ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c8) ).
fof(f7_nnf,plain,
( ~ some_irish_fight
| ~ some_welsh_eat_not
| ~ some_germans_play_not ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
( ~ some_irish_fight
| ~ some_welsh_eat_not
| ~ some_germans_play_not ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( ~ some_irish_fight
| ~ some_welsh_eat_not
| ~ some_germans_play_not ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p40,plain,
( ~ some_irish_fight
| ~ some_welsh_eat_not
| some_scotch_dance ),
inference(resolution,[status(thm)],[p39,c7]) ).
cnf(f4,axiom,
( some_welsh_eat_not
| some_scotch_dance
| ~ some_germans_play ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).
fof(f4_nnf,plain,
( some_welsh_eat_not
| some_scotch_dance
| ~ some_germans_play ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( some_welsh_eat_not
| some_scotch_dance
| ~ some_germans_play ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( some_welsh_eat_not
| some_scotch_dance
| ~ some_germans_play ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p30,plain,
( some_welsh_eat_not
| some_scotch_dance ),
inference(resolution,[status(thm)],[p28,c4]) ).
cnf(p42,plain,
( some_scotch_dance
| ~ some_irish_fight
| some_scotch_dance ),
inference(resolution,[status(thm)],[p40,p30]) ).
cnf(p44,plain,
( ~ some_irish_fight
| some_scotch_dance ),
inference(factoring,[status(thm)],[p42]) ).
cnf(f3,axiom,
( some_irish_fight
| ~ some_monitors_are_not_awake
| ~ some_monitors_are_awake ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4) ).
fof(f3_nnf,plain,
( some_irish_fight
| ~ some_monitors_are_not_awake
| ~ some_monitors_are_awake ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( some_irish_fight
| ~ some_monitors_are_not_awake
| ~ some_monitors_are_awake ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( some_irish_fight
| ~ some_monitors_are_not_awake
| ~ some_monitors_are_awake ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p35,plain,
( some_irish_fight
| ~ some_monitors_are_not_awake ),
inference(resolution,[status(thm)],[p34,c3]) ).
cnf(p38,plain,
some_irish_fight,
inference(resolution,[status(thm)],[p35,c19]) ).
cnf(p45,plain,
some_scotch_dance,
inference(resolution,[status(thm)],[p44,p38]) ).
cnf(f1,axiom,
( some_welsh_eat
| ~ some_irish_fight
| ~ some_scotch_dance ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2) ).
fof(f1_nnf,plain,
( some_welsh_eat
| ~ some_irish_fight
| ~ some_scotch_dance ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( some_welsh_eat
| ~ some_irish_fight
| ~ some_scotch_dance ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( some_welsh_eat
| ~ some_irish_fight
| ~ some_scotch_dance ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p46,plain,
( some_welsh_eat
| ~ some_irish_fight ),
inference(resolution,[status(thm)],[p45,c1]) ).
cnf(p47,plain,
some_welsh_eat,
inference(resolution,[status(thm)],[p46,p38]) ).
cnf(f6,axiom,
( ~ some_scotch_dance
| ~ some_welsh_eat
| ~ some_monitors_are_awake ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c7) ).
fof(f6_nnf,plain,
( ~ some_scotch_dance
| ~ some_welsh_eat
| ~ some_monitors_are_awake ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( ~ some_scotch_dance
| ~ some_welsh_eat
| ~ some_monitors_are_awake ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ some_scotch_dance
| ~ some_welsh_eat
| ~ some_monitors_are_awake ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p36,plain,
( ~ some_scotch_dance
| ~ some_welsh_eat ),
inference(resolution,[status(thm)],[p34,c6]) ).
cnf(p48,plain,
~ some_scotch_dance,
inference(resolution,[status(thm)],[p47,p36]) ).
cnf(p49,plain,
$false,
inference(resolution,[status(thm)],[p48,p45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/5.36 % Computer : n010.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Thu Sep 24 06:38:08 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.66/6.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.66/6.08 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------