%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ001-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 : Thu Sep 24 01:59:48 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 16 unt; 0 def)
% Number of atoms : 70 ( 27 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 23 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 22 ( 22 !; 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] :
( Person = charles
| Person = butler
| Person = aunt_agatha
| ~ lives_at_dreadsbury(Person) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [Killer,Victim] :
( hates(Killer,Victim)
| ~ killed(Killer,Victim) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [Killer,Victim] :
( ~ richer(Killer,Victim)
| ~ killed(Killer,Victim) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [Person] :
( ~ hates(charles,Person)
| ~ hates(aunt_agatha,Person) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Person] :
( hates(aunt_agatha,Person)
| Person = butler ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [Person] :
( hates(butler,Person)
| richer(Person,aunt_agatha) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [Person] :
( hates(butler,Person)
| ~ hates(aunt_agatha,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(thm)],[f1]) ).
fof(f17,plain,
killed(someone,aunt_agatha),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f21,plain,
! [X0] :
( X0 = charles
| X0 = butler
| X0 = aunt_agatha
| ~ lives_at_dreadsbury(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f22,plain,
! [X0,X1] :
( hates(X0,X1)
| ~ killed(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f23,plain,
! [X0,X1] :
( ~ richer(X0,X1)
| ~ killed(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f24,plain,
! [X0] :
( ~ hates(charles,X0)
| ~ hates(aunt_agatha,X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f25,plain,
! [X0] :
( hates(aunt_agatha,X0)
| X0 = butler ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f26,plain,
! [X0] :
( hates(butler,X0)
| richer(X0,aunt_agatha) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f27,plain,
! [X0] :
( hates(butler,X0)
| ~ hates(aunt_agatha,X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f28,plain,
! [X0] : ~ hates(X0,every_one_but(X0)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f29,plain,
aunt_agatha != butler,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f30,plain,
~ killed(aunt_agatha,aunt_agatha),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f31,plain,
hates(someone,aunt_agatha),
inference(resolution,[status(thm)],[f17,f22]) ).
fof(f35,plain,
( someone = charles
| someone = butler
| someone = aunt_agatha ),
inference(resolution,[status(thm)],[f21,f16]) ).
fof(f37,plain,
! [X0] :
( ~ killed(X0,aunt_agatha)
| hates(butler,X0) ),
inference(resolution,[status(thm)],[f26,f23]) ).
fof(f38,plain,
! [X0] :
( X0 = butler
| hates(butler,X0) ),
inference(resolution,[status(thm)],[f27,f25]) ).
fof(f39,plain,
( someone = butler
| someone = aunt_agatha
| hates(charles,aunt_agatha) ),
inference(paramodulation,[status(thm)],[f35,f31]) ).
fof(f45,plain,
( ~ hates(aunt_agatha,aunt_agatha)
| someone = butler
| someone = aunt_agatha ),
inference(resolution,[status(thm)],[f39,f24]) ).
fof(f46,plain,
( aunt_agatha = butler
| someone = butler
| someone = aunt_agatha ),
inference(resolution,[status(thm)],[f45,f25]) ).
fof(f47,plain,
( someone = butler
| someone = aunt_agatha ),
inference(forward_subsumption_resolution,[status(thm)],[f46,f29]) ).
fof(f49,plain,
( someone = aunt_agatha
| killed(butler,aunt_agatha) ),
inference(paramodulation,[status(thm)],[f47,f17]) ).
fof(f53,plain,
( someone = aunt_agatha
| hates(butler,butler) ),
inference(resolution,[status(thm)],[f37,f49]) ).
fof(f55,plain,
every_one_but(butler) = butler,
inference(resolution,[status(thm)],[f38,f28]) ).
fof(f58,plain,
~ hates(butler,butler),
inference(paramodulation,[status(thm)],[f55,f28]) ).
fof(f59,plain,
someone = aunt_agatha,
inference(backward_subsumption_resolution,[status(thm)],[f53,f58]) ).
fof(f66,plain,
killed(aunt_agatha,aunt_agatha),
inference(backward_demodulation,[status(thm)],[f59,f17]) ).
fof(f68,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f66,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ001-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 03:43:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.051608 seconds
% 0.14/0.41 % CPU time: 0.110663 seconds
% 0.14/0.41 % Total memory used: 7.559 MB
% 0.14/0.41 % Net memory used: 7.550 MB
%------------------------------------------------------------------------------