%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ013-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : 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 : Fri Sep 25 02:31:50 PM UTC 2026
% Result : Unsatisfiable 4.04s 1.08s
% Output : Proof 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 13 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 95 ( 46 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 8 ( 7 usr; 8 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(p33,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(f12,axiom,
( some_monitors_are_awake
| some_monitors_are_not_awake ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13) ).
fof(f12_nnf,plain,
( some_monitors_are_awake
| some_monitors_are_not_awake ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
( some_monitors_are_awake
| some_monitors_are_not_awake ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( some_monitors_are_awake
| some_monitors_are_not_awake ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p27,plain,
( some_monitors_are_awake
| some_irish_fight_not ),
inference(resolution,[status(thm)],[p26,c12]) ).
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
| some_monitors_are_awake ),
inference(resolution,[status(thm)],[p27,p21]) ).
cnf(p35,plain,
( some_monitors_are_awake
| some_english_sing_not ),
inference(resolution,[status(thm)],[p33,p28]) ).
cnf(f19,negated_conjecture,
~ some_monitors_are_awake,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_some_monitors_are_awake) ).
fof(f19_nnf,plain,
~ some_monitors_are_awake,
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
~ some_monitors_are_awake,
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
~ some_monitors_are_awake,
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p37,plain,
some_english_sing_not,
inference(resolution,[status(thm)],[p35,c19]) ).
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(p38,plain,
some_monitors_are_awake,
inference(resolution,[status(thm)],[p37,p20]) ).
cnf(p39,plain,
$false,
inference(resolution,[status(thm)],[p38,c19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 06:37:49 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.04/1.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.04/1.08 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------