TSTP Solution File: PUZ001-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : PUZ001-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 : Wed May 31 12:31:43 EDT 2023
% Result : Unsatisfiable 0.18s 0.35s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 57 ( 18 unt; 0 def)
% Number of atoms : 103 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 98 ( 52 ~; 42 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 23 (; 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
lives_at_dreadsbury(someone),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
killed(someone,aunt_agatha),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [Person] :
( ~ lives_at_dreadsbury(Person)
| Person = aunt_agatha
| Person = butler
| Person = charles ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [Killer,Victim] :
( ~ killed(Killer,Victim)
| hates(Killer,Victim) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [Killer,Victim] :
( ~ killed(Killer,Victim)
| ~ richer(Killer,Victim) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [Person] :
( ~ hates(aunt_agatha,Person)
| ~ hates(charles,Person) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Person] :
( Person = butler
| hates(aunt_agatha,Person) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [Person] :
( richer(Person,aunt_agatha)
| hates(butler,Person) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [Person] :
( ~ hates(aunt_agatha,Person)
| hates(butler,Person) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [Person] : ~ hates(Person,every_one_but(Person)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
aunt_agatha != butler,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ killed(aunt_agatha,aunt_agatha),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,plain,
lives_at_dreadsbury(someone),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f17,plain,
killed(someone,aunt_agatha),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f21,plain,
! [X0] :
( ~ lives_at_dreadsbury(X0)
| X0 = aunt_agatha
| X0 = butler
| X0 = charles ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
! [X0,X1] :
( ~ killed(X0,X1)
| hates(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f23,plain,
! [X0,X1] :
( ~ killed(X0,X1)
| ~ richer(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f24,plain,
! [X0] :
( ~ hates(aunt_agatha,X0)
| ~ hates(charles,X0) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f25,plain,
! [X0] :
( X0 = butler
| hates(aunt_agatha,X0) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f26,plain,
! [X0] :
( richer(X0,aunt_agatha)
| hates(butler,X0) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f27,plain,
! [X0] :
( ~ hates(aunt_agatha,X0)
| hates(butler,X0) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f28,plain,
! [X0] : ~ hates(X0,every_one_but(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f29,plain,
aunt_agatha != butler,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f30,plain,
~ killed(aunt_agatha,aunt_agatha),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f36,plain,
! [X0] :
( ~ hates(aunt_agatha,X0)
| ~ killed(charles,X0) ),
inference(resolution,[status(thm)],[f24,f22]) ).
fof(f48,plain,
( spl0_3
<=> butler = aunt_agatha ),
introduced(split_symbol_definition) ).
fof(f49,plain,
( butler = aunt_agatha
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f48]) ).
fof(f61,plain,
( spl0_6
<=> someone = aunt_agatha ),
introduced(split_symbol_definition) ).
fof(f62,plain,
( someone = aunt_agatha
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f64,plain,
( spl0_7
<=> someone = butler ),
introduced(split_symbol_definition) ).
fof(f65,plain,
( someone = butler
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f67,plain,
( spl0_8
<=> someone = charles ),
introduced(split_symbol_definition) ).
fof(f68,plain,
( someone = charles
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f67]) ).
fof(f70,plain,
( someone = aunt_agatha
| someone = butler
| someone = charles ),
inference(resolution,[status(thm)],[f21,f16]) ).
fof(f71,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(split_clause,[status(thm)],[f70,f61,f64,f67]) ).
fof(f72,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f49,f29]) ).
fof(f73,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f72]) ).
fof(f74,plain,
! [X0] :
( hates(butler,X0)
| ~ killed(X0,aunt_agatha) ),
inference(resolution,[status(thm)],[f26,f23]) ).
fof(f75,plain,
~ hates(aunt_agatha,every_one_but(butler)),
inference(resolution,[status(thm)],[f27,f28]) ).
fof(f76,plain,
every_one_but(butler) = butler,
inference(resolution,[status(thm)],[f75,f25]) ).
fof(f80,plain,
~ hates(butler,butler),
inference(paramodulation,[status(thm)],[f76,f28]) ).
fof(f84,plain,
hates(butler,someone),
inference(resolution,[status(thm)],[f74,f17]) ).
fof(f104,plain,
! [X0] :
( ~ hates(aunt_agatha,X0)
| ~ killed(someone,X0)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f68,f36]) ).
fof(f108,plain,
( ~ hates(aunt_agatha,aunt_agatha)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f104,f17]) ).
fof(f109,plain,
( aunt_agatha = butler
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f108,f25]) ).
fof(f110,plain,
( spl0_3
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f109,f48,f67]) ).
fof(f113,plain,
( ~ killed(aunt_agatha,someone)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f62,f30]) ).
fof(f114,plain,
( ~ killed(someone,someone)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f62,f113]) ).
fof(f123,plain,
( killed(someone,someone)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f62,f17]) ).
fof(f129,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f123,f114]) ).
fof(f130,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f129]) ).
fof(f139,plain,
( hates(someone,someone)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f65,f84]) ).
fof(f140,plain,
( ~ hates(butler,someone)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f65,f80]) ).
fof(f141,plain,
( ~ hates(someone,someone)
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f65,f140]) ).
fof(f148,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f141,f139]) ).
fof(f149,plain,
~ spl0_7,
inference(contradiction_clause,[status(thm)],[f148]) ).
fof(f150,plain,
$false,
inference(sat_refutation,[status(thm)],[f71,f73,f110,f130,f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PUZ001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 10:44:47 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.34 % Drodi V3.5.1
% 0.18/0.35 % Refutation found
% 0.18/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.57 % Elapsed time: 0.022451 seconds
% 0.18/0.57 % CPU time: 0.034176 seconds
% 0.18/0.57 % Memory used: 11.481 MB
%------------------------------------------------------------------------------