%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ001-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.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 02:31:48 PM UTC 2026
% Result : Unsatisfiable 6.30s 1.38s
% Output : Proof 6.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 61 ( 26 unt; 0 def)
% Number of atoms : 108 ( 36 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 93 ( 46 ~; 47 |; 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 : 43 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f5,axiom,
( Person = charles
| Person = butler
| Person = aunt_agatha
| ~ lives_at_dreadsbury(Person) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',noone_else_lives_at_mansion) ).
fof(f5_nnf,plain,
! [Person] :
( Person = charles
| Person = butler
| Person = aunt_agatha
| ~ lives_at_dreadsbury(Person) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [Person] :
( Person = charles
| Person = butler
| Person = aunt_agatha
| ~ lives_at_dreadsbury(Person) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( X0 = charles
| X0 = butler
| X0 = aunt_agatha
| ~ lives_at_dreadsbury(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(f0,axiom,
lives_at_dreadsbury(someone),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',someone_in_mansion) ).
fof(f0_nnf,plain,
lives_at_dreadsbury(someone),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
lives_at_dreadsbury(someone),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(p21,plain,
( someone = charles
| someone = butler
| someone = aunt_agatha ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(f9,axiom,
( hates(aunt_agatha,Person)
| Person = butler ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agatha_likes_only_butler) ).
fof(f9_nnf,plain,
! [Person] :
( hates(aunt_agatha,Person)
| Person = butler ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [Person] :
( hates(aunt_agatha,Person)
| Person = butler ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( hates(aunt_agatha,X0)
| X0 = butler ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(f8,axiom,
( ~ hates(charles,Person)
| ~ hates(aunt_agatha,Person) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',charles_and_agatha_hate_different_people) ).
fof(f8_nnf,plain,
! [Person] :
( ~ hates(charles,Person)
| ~ hates(aunt_agatha,Person) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [Person] :
( ~ hates(charles,Person)
| ~ hates(aunt_agatha,Person) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( ~ hates(charles,X0)
| ~ hates(aunt_agatha,X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p24,plain,
( ~ hates(charles,X0)
| X0 = butler ),
inference(resolution,[status(thm)],[c9,c8]) ).
cnf(p37,plain,
( ~ hates(someone,X0)
| X0 = butler
| someone = butler
| someone = aunt_agatha ),
inference(superposition,[status(thm)],[p21,p24]) ).
cnf(f6,axiom,
( hates(Killer,Victim)
| ~ killed(Killer,Victim) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',killer_hates_victim) ).
fof(f6_nnf,plain,
! [Killer,Victim] :
( hates(Killer,Victim)
| ~ killed(Killer,Victim) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [Killer,Victim] :
( hates(Killer,Victim)
| ~ killed(Killer,Victim) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( hates(X0,X1)
| ~ killed(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(f1,axiom,
killed(someone,aunt_agatha),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',someone_killed_agatha) ).
fof(f1_nnf,plain,
killed(someone,aunt_agatha),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
killed(someone,aunt_agatha),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(p15,plain,
hates(someone,aunt_agatha),
inference(resolution,[status(thm)],[c6,c1]) ).
cnf(p72,plain,
( aunt_agatha = butler
| someone = butler
| someone = aunt_agatha ),
inference(resolution,[status(thm)],[p37,p15]) ).
cnf(f13,axiom,
aunt_agatha != butler,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agatha_is_not_the_butler) ).
fof(f13_nnf,plain,
aunt_agatha != butler,
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
aunt_agatha != butler,
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
aunt_agatha != butler,
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p75,plain,
( someone = butler
| someone = aunt_agatha ),
inference(resolution,[status(thm)],[p72,c13]) ).
cnf(f11,axiom,
( hates(butler,Person)
| ~ hates(aunt_agatha,Person) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',butler_and_agatha_hate_the_same_people) ).
fof(f11_nnf,plain,
! [Person] :
( hates(butler,Person)
| ~ hates(aunt_agatha,Person) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [Person] :
( hates(butler,Person)
| ~ hates(aunt_agatha,Person) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( hates(butler,X0)
| ~ hates(aunt_agatha,X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p27,plain,
( X0 = butler
| hates(butler,X0) ),
inference(resolution,[status(thm)],[c11,c9]) ).
cnf(f12,axiom,
~ hates(Person,every_one_but(Person)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',noone_hates_everyone) ).
fof(f12_nnf,plain,
! [Person] : ~ hates(Person,every_one_but(Person)),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [Person] : ~ hates(Person,every_one_but(Person)),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
~ hates(X0,every_one_but(X0)),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p28,plain,
every_one_but(butler) = butler,
inference(resolution,[status(thm)],[p27,c12]) ).
cnf(p29,plain,
~ hates(butler,butler),
inference(superposition,[status(thm)],[p28,c12]) ).
cnf(p84,plain,
( ~ hates(butler,someone)
| someone = aunt_agatha ),
inference(superposition,[status(thm)],[p75,p29]) ).
cnf(f10,axiom,
( hates(butler,Person)
| richer(Person,aunt_agatha) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',butler_hates_poor_people) ).
fof(f10_nnf,plain,
! [Person] :
( hates(butler,Person)
| richer(Person,aunt_agatha) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [Person] :
( hates(butler,Person)
| richer(Person,aunt_agatha) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( hates(butler,X0)
| richer(X0,aunt_agatha) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(f7,axiom,
( ~ richer(Killer,Victim)
| ~ killed(Killer,Victim) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',killer_poorer_than_victim) ).
fof(f7_nnf,plain,
! [Killer,Victim] :
( ~ richer(Killer,Victim)
| ~ killed(Killer,Victim) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [Killer,Victim] :
( ~ richer(Killer,Victim)
| ~ killed(Killer,Victim) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( ~ richer(X0,X1)
| ~ killed(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p22,plain,
~ richer(someone,aunt_agatha),
inference(resolution,[status(thm)],[c7,c1]) ).
cnf(p26,plain,
hates(butler,someone),
inference(resolution,[status(thm)],[c10,p22]) ).
cnf(p94,plain,
someone = aunt_agatha,
inference(resolution,[status(thm)],[p84,p26]) ).
cnf(f14,negated_conjecture,
~ killed(aunt_agatha,aunt_agatha),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_agatha_killed_herself) ).
fof(f14_nnf,plain,
~ killed(aunt_agatha,aunt_agatha),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
~ killed(aunt_agatha,aunt_agatha),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
~ killed(aunt_agatha,aunt_agatha),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p96,plain,
~ killed(someone,aunt_agatha),
inference(superposition,[status(thm)],[p94,c14]) ).
cnf(p122,plain,
$false,
inference(resolution,[status(thm)],[p96,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ001-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n020.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 06:36:33 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.30/1.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.30/1.38 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------