TSTP Solution File: PUZ014-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : PUZ014-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:36:51 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 27
% Syntax : Number of formulae : 62 ( 10 unt; 0 def)
% Number of atoms : 150 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 160 ( 72 ~; 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 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ~ some_scotch_dance
| ~ some_irish_fight
| some_welsh_eat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ~ some_germans_play
| some_germans_play_not
| some_of_the_eleven_are_not_oiling ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ~ some_monitors_are_awake
| ~ some_monitors_are_not_awake
| some_irish_fight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ~ some_germans_play
| some_scotch_dance
| some_welsh_eat_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( ~ some_monitors_are_awake
| ~ some_welsh_eat
| ~ some_scotch_dance ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( ~ some_germans_play_not
| ~ some_welsh_eat_not
| ~ some_irish_fight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ~ some_monitors_are_awake
| ~ some_of_the_eleven_are_not_oiling
| some_scotch_dance ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
some_english_sing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
some_scotch_dance_not,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
some_monitors_are_not_awake,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,plain,
( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f22,plain,
( ~ some_scotch_dance
| ~ some_irish_fight
| some_welsh_eat ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f23,plain,
( ~ some_germans_play
| some_germans_play_not
| some_of_the_eleven_are_not_oiling ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f24,plain,
( ~ some_monitors_are_awake
| ~ some_monitors_are_not_awake
| some_irish_fight ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f25,plain,
( ~ some_germans_play
| some_scotch_dance
| some_welsh_eat_not ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f26,plain,
( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f27,plain,
( ~ some_monitors_are_awake
| ~ some_welsh_eat
| ~ some_scotch_dance ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f28,plain,
( ~ some_germans_play_not
| ~ some_welsh_eat_not
| ~ some_irish_fight ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f29,plain,
( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f30,plain,
( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f31,plain,
( ~ some_monitors_are_awake
| ~ some_of_the_eleven_are_not_oiling
| some_scotch_dance ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f38,plain,
some_english_sing,
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f39,plain,
some_scotch_dance_not,
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f40,plain,
some_monitors_are_not_awake,
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f41,plain,
( spl0_0
<=> some_english_sing ),
introduced(split_symbol_definition) ).
fof(f43,plain,
( ~ some_english_sing
| spl0_0 ),
inference(component_clause,[status(thm)],[f41]) ).
fof(f44,plain,
( spl0_1
<=> some_english_sing_not ),
introduced(split_symbol_definition) ).
fof(f47,plain,
( spl0_2
<=> some_monitors_are_awake ),
introduced(split_symbol_definition) ).
fof(f50,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f21,f41,f44,f47]) ).
fof(f51,plain,
( spl0_3
<=> some_scotch_dance ),
introduced(split_symbol_definition) ).
fof(f54,plain,
( spl0_4
<=> some_irish_fight ),
introduced(split_symbol_definition) ).
fof(f57,plain,
( spl0_5
<=> some_welsh_eat ),
introduced(split_symbol_definition) ).
fof(f60,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f22,f51,f54,f57]) ).
fof(f61,plain,
( spl0_6
<=> some_germans_play ),
introduced(split_symbol_definition) ).
fof(f64,plain,
( spl0_7
<=> some_germans_play_not ),
introduced(split_symbol_definition) ).
fof(f67,plain,
( spl0_8
<=> some_of_the_eleven_are_not_oiling ),
introduced(split_symbol_definition) ).
fof(f70,plain,
( ~ spl0_6
| spl0_7
| spl0_8 ),
inference(split_clause,[status(thm)],[f23,f61,f64,f67]) ).
fof(f71,plain,
( spl0_9
<=> some_monitors_are_not_awake ),
introduced(split_symbol_definition) ).
fof(f73,plain,
( ~ some_monitors_are_not_awake
| spl0_9 ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,plain,
( ~ spl0_2
| ~ spl0_9
| spl0_4 ),
inference(split_clause,[status(thm)],[f24,f47,f71,f54]) ).
fof(f75,plain,
( spl0_10
<=> some_welsh_eat_not ),
introduced(split_symbol_definition) ).
fof(f78,plain,
( ~ spl0_6
| spl0_3
| spl0_10 ),
inference(split_clause,[status(thm)],[f25,f61,f51,f75]) ).
fof(f79,plain,
( spl0_11
<=> some_scotch_dance_not ),
introduced(split_symbol_definition) ).
fof(f81,plain,
( ~ some_scotch_dance_not
| spl0_11 ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,plain,
( spl0_12
<=> some_irish_fight_not ),
introduced(split_symbol_definition) ).
fof(f85,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_6 ),
inference(split_clause,[status(thm)],[f26,f79,f82,f61]) ).
fof(f86,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f27,f47,f57,f51]) ).
fof(f87,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f28,f64,f75,f54]) ).
fof(f88,plain,
( ~ spl0_0
| spl0_1
| ~ spl0_11
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f29,f41,f44,f79,f61]) ).
fof(f89,plain,
( ~ spl0_0
| ~ spl0_9
| spl0_12 ),
inference(split_clause,[status(thm)],[f30,f41,f71,f82]) ).
fof(f90,plain,
( ~ spl0_2
| ~ spl0_8
| spl0_3 ),
inference(split_clause,[status(thm)],[f31,f47,f67,f51]) ).
fof(f97,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f43,f38]) ).
fof(f98,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f97]) ).
fof(f99,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f73,f40]) ).
fof(f100,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f99]) ).
fof(f101,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f81,f39]) ).
fof(f102,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f101]) ).
fof(f103,plain,
$false,
inference(sat_refutation,[status(thm)],[f50,f60,f70,f74,f78,f85,f86,f87,f88,f89,f90,f98,f100,f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PUZ014-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 22:28:24 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.019714 seconds
% 0.13/0.37 % CPU time: 0.034749 seconds
% 0.13/0.37 % Total memory used: 1.969 MB
% 0.13/0.37 % Net memory used: 1.886 MB
%------------------------------------------------------------------------------