%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ001-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 : Sun Sep 27 08:22:42 AM UTC 2026
% Result : Unsatisfiable 0.07s 5.54s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 42 ( 20 unt; 0 def)
% Number of atoms : 72 ( 28 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 56 ( 26 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(noone_else_lives_at_mansion,axiom,
! [VAR_0] :
( VAR_0 = charles
| VAR_0 = butler
| VAR_0 = aunt_agatha
| ~ lives_at_dreadsbury(VAR_0) ),
file('theBenchmark.p',noone_else_lives_at_mansion) ).
cnf(c_1,plain,
( A = charles
| A = butler
| A = aunt_agatha
| ~ lives_at_dreadsbury(A) ),
inference(clausify,[status(thm)],[noone_else_lives_at_mansion]) ).
fof(someone_in_mansion,axiom,
lives_at_dreadsbury(someone),
file('theBenchmark.p',someone_in_mansion) ).
cnf(c_5,plain,
lives_at_dreadsbury(someone),
inference(clausify,[status(thm)],[someone_in_mansion]) ).
fof(killer_poorer_than_victim,axiom,
! [VAR_0,VAR_1] :
( ~ richer(VAR_0,VAR_1)
| ~ killed(VAR_0,VAR_1) ),
file('theBenchmark.p',killer_poorer_than_victim) ).
cnf(c_6,plain,
( ~ richer(A,B)
| ~ killed(A,B) ),
inference(clausify,[status(thm)],[killer_poorer_than_victim]) ).
fof(butler_hates_poor_people,axiom,
! [VAR_0] :
( hates(butler,VAR_0)
| richer(VAR_0,aunt_agatha) ),
file('theBenchmark.p',butler_hates_poor_people) ).
cnf(c_7,plain,
( hates(butler,A)
| richer(A,aunt_agatha) ),
inference(clausify,[status(thm)],[butler_hates_poor_people]) ).
cnf(c_8,plain,
( hates(butler,A)
| ~ killed(A,aunt_agatha) ),
inference(resolve,[status(thm)],[c_6,c_7]) ).
fof(someone_killed_agatha,axiom,
killed(someone,aunt_agatha),
file('theBenchmark.p',someone_killed_agatha) ).
cnf(c_9,plain,
killed(someone,aunt_agatha),
inference(clausify,[status(thm)],[someone_killed_agatha]) ).
fof(killer_hates_victim,axiom,
! [VAR_0,VAR_1] :
( hates(VAR_0,VAR_1)
| ~ killed(VAR_0,VAR_1) ),
file('theBenchmark.p',killer_hates_victim) ).
cnf(c_10,plain,
( hates(A,B)
| ~ killed(A,B) ),
inference(clausify,[status(thm)],[killer_hates_victim]) ).
fof(charles_and_agatha_hate_different_people,axiom,
! [VAR_0] :
( ~ hates(charles,VAR_0)
| ~ hates(aunt_agatha,VAR_0) ),
file('theBenchmark.p',charles_and_agatha_hate_different_people) ).
cnf(c_11,plain,
( ~ hates(charles,A)
| ~ hates(aunt_agatha,A) ),
inference(clausify,[status(thm)],[charles_and_agatha_hate_different_people]) ).
fof(agatha_likes_only_butler,axiom,
! [VAR_0] :
( hates(aunt_agatha,VAR_0)
| VAR_0 = butler ),
file('theBenchmark.p',agatha_likes_only_butler) ).
cnf(c_12,plain,
( hates(aunt_agatha,A)
| A = butler ),
inference(clausify,[status(thm)],[agatha_likes_only_butler]) ).
cnf(c_13,plain,
( hates(aunt_agatha,A)
| butler = A ),
inference(copy,[status(thm)],[c_12]) ).
fof(butler_and_agatha_hate_the_same_people,axiom,
! [VAR_0] :
( hates(butler,VAR_0)
| ~ hates(aunt_agatha,VAR_0) ),
file('theBenchmark.p',butler_and_agatha_hate_the_same_people) ).
cnf(c_14,plain,
( hates(butler,A)
| ~ hates(aunt_agatha,A) ),
inference(clausify,[status(thm)],[butler_and_agatha_hate_the_same_people]) ).
fof(noone_hates_everyone,axiom,
! [VAR_0] : ~ hates(VAR_0,every_one_but(VAR_0)),
file('theBenchmark.p',noone_hates_everyone) ).
cnf(c_15,plain,
~ hates(A,every_one_but(A)),
inference(clausify,[status(thm)],[noone_hates_everyone]) ).
fof(agatha_is_not_the_butler,axiom,
aunt_agatha != butler,
file('theBenchmark.p',agatha_is_not_the_butler) ).
cnf(c_16,plain,
aunt_agatha != butler,
inference(clausify,[status(thm)],[agatha_is_not_the_butler]) ).
cnf(c_17,plain,
butler != aunt_agatha,
inference(copy,[status(thm)],[c_16]) ).
fof(prove_agatha_killed_herself,axiom,
~ killed(aunt_agatha,aunt_agatha),
file('theBenchmark.p',prove_agatha_killed_herself) ).
cnf(c_18,plain,
~ killed(aunt_agatha,aunt_agatha),
inference(clausify,[status(thm)],[prove_agatha_killed_herself]) ).
cnf(c_21,plain,
( someone = charles
| someone = butler
| someone = aunt_agatha ),
inference(resolve,[status(thm)],[c_1,c_5]) ).
cnf(c_23,plain,
hates(someone,aunt_agatha),
inference(resolve,[status(thm)],[c_10,c_9]) ).
cnf(c_26,plain,
~ hates(aunt_agatha,every_one_but(butler)),
inference(resolve,[status(thm)],[c_14,c_15]) ).
cnf(c_28,plain,
~ killed(every_one_but(butler),aunt_agatha),
inference(resolve,[status(thm)],[c_8,c_15]) ).
cnf(c_44,plain,
butler = every_one_but(butler),
inference(resolve,[status(thm)],[c_26,c_13]) ).
cnf(c_31,plain,
every_one_but(butler) = butler,
inference(copy,[status(thm)],[c_44]) ).
cnf(c_33,plain,
~ killed(butler,aunt_agatha),
inference(paramod,[status(thm)],[c_31,c_28]) ).
cnf(c_35,plain,
( hates(charles,aunt_agatha)
| someone = butler
| someone = aunt_agatha ),
inference(paramod,[status(thm)],[c_21,c_23]) ).
cnf(c_38,plain,
( ~ hates(aunt_agatha,aunt_agatha)
| someone = butler
| someone = aunt_agatha ),
inference(resolve,[status(thm)],[c_35,c_11]) ).
cnf(c_45,plain,
( butler = aunt_agatha
| someone = butler
| someone = aunt_agatha ),
inference(resolve,[status(thm)],[c_38,c_13]) ).
cnf(c_39,plain,
( someone = butler
| someone = aunt_agatha ),
inference(resolve,[status(thm)],[c_17,c_45]) ).
cnf(c_46,plain,
( killed(butler,aunt_agatha)
| someone = aunt_agatha ),
inference(paramod,[status(thm)],[c_39,c_9]) ).
cnf(c_40,plain,
someone = aunt_agatha,
inference(resolve,[status(thm)],[c_33,c_46]) ).
cnf(c_47,plain,
killed(aunt_agatha,aunt_agatha),
inference(paramod,[status(thm)],[c_40,c_9]) ).
cnf(c_43,plain,
$false,
inference(resolve,[status(thm)],[c_18,c_47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ001-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/5.52 % Computer : n005.cluster.edu
% 0.07/5.52 % Model : x86_64 x86_64
% 0.07/5.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.52 % Memory : 8046.5625MB
% 0.07/5.52 % OS : Linux 6.8.0-71-generic
% 0.07/5.52 % CPULimit : 300
% 0.07/5.52 % WCLimit : 300
% 0.07/5.52 % DateTime : Sat Sep 26 05:02:22 UTC 2026
% 0.07/5.52 % CPUTime :
% 0.07/5.52 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.07/5.52 % Process 1251656 was started by sandbox on n005,
% 0.07/5.52 % Sat Sep 26 05:02:22 2026
% 0.07/5.52 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.07/5.53
% 0.07/5.53 % From the command line: assign(max_seconds, 300).
% 0.07/5.54
% 0.07/5.54 % SZS status Unsatisfiable for theBenchmark
% 0.07/5.54
% 0.07/5.54 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.07/5.54 % Length of proof is 26.
% 0.07/5.54 % Level of proof is 6.
% 0.07/5.54 % Maximum clause weight is 9.000.
% 0.07/5.54 % Given clauses 27.
% 0.07/5.54
% 0.07/5.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------