%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ061+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 02:00:00 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 17 ( 6 avg)
% Number of connectives : 122 ( 36 ~; 27 |; 47 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 71 ( 57 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [Peanuts,John,Bill,Sue,Apples,Chicken] :
( ( ! [Y] :
( alive(Y)
=> ! [X] : not_killed_by(Y,X) )
& ! [X] :
( eats(Bill,X)
=> eats(Sue,X) )
& alive(Bill)
& eats(Bill,Peanuts)
& ! [X] :
( ? [Y] :
( not_killed_by(Y,X)
& eats(Y,X) )
=> food(X) )
& food(Chicken)
& food(Apples)
& ! [X] :
( food(X)
=> likes(John,X) )
& ! [X,Y] :
( ( eats(Y,Chicken)
& alive(Y) )
=> likes(Y,X) ) )
=> likes(John,Peanuts) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [Peanuts,John,Bill,Sue,Apples,Chicken] :
( ( ! [Y] :
( alive(Y)
=> ! [X] : not_killed_by(Y,X) )
& ! [X] :
( eats(Bill,X)
=> eats(Sue,X) )
& alive(Bill)
& eats(Bill,Peanuts)
& ! [X] :
( ? [Y] :
( not_killed_by(Y,X)
& eats(Y,X) )
=> food(X) )
& food(Chicken)
& food(Apples)
& ! [X] :
( food(X)
=> likes(John,X) )
& ! [X,Y] :
( ( eats(Y,Chicken)
& alive(Y) )
=> likes(Y,X) ) )
=> likes(John,Peanuts) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [Peanuts,John,Bill,Sue,Apples,Chicken] :
( ~ likes(John,Peanuts)
& ! [Y] :
( ! [X] : not_killed_by(Y,X)
| ~ alive(Y) )
& ! [X] :
( eats(Sue,X)
| ~ eats(Bill,X) )
& alive(Bill)
& eats(Bill,Peanuts)
& ! [X] :
( food(X)
| ! [Y] :
( ~ not_killed_by(Y,X)
| ~ eats(Y,X) ) )
& food(Chicken)
& food(Apples)
& ! [X] :
( likes(John,X)
| ~ food(X) )
& ! [X,Y] :
( likes(Y,X)
| ~ eats(Y,Chicken)
| ~ alive(Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
? [Peanuts,John] :
( ~ likes(John,Peanuts)
& ! [Y] :
( ! [X] : not_killed_by(Y,X)
| ~ alive(Y) )
& ? [Bill] :
( ? [Sue] :
! [X] :
( eats(Sue,X)
| ~ eats(Bill,X) )
& alive(Bill)
& eats(Bill,Peanuts)
& ! [X] :
( food(X)
| ! [Y] :
( ~ not_killed_by(Y,X)
| ~ eats(Y,X) ) )
& ? [Chicken] :
( food(Chicken)
& ? [Apples] : food(Apples)
& ! [X] :
( likes(John,X)
| ~ food(X) )
& ! [Y] :
( ! [X] : likes(Y,X)
| ~ eats(Y,Chicken)
| ~ alive(Y) ) ) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ~ likes(sK1_skl,sK0_skl)
& ! [Y] :
( ! [X] : not_killed_by(Y,X)
| ~ alive(Y) )
& ! [X] :
( eats(sK5_skl,X)
| ~ eats(sK2_skl,X) )
& alive(sK2_skl)
& eats(sK2_skl,sK0_skl)
& ! [X] :
( food(X)
| ! [Y] :
( ~ not_killed_by(Y,X)
| ~ eats(Y,X) ) )
& food(sK3_skl)
& food(sK4_skl)
& ! [X] :
( likes(sK1_skl,X)
| ~ food(X) )
& ! [Y] :
( ! [X] : likes(Y,X)
| ~ eats(Y,sK3_skl)
| ~ alive(Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(Peanuts,sK0_skl),skolemize(John,sK1_skl),skolemize(Bill,sK2_skl),skolemize(Chicken,sK3_skl),skolemize(Apples,sK4_skl),skolemize(Sue,sK5_skl)],[f4]) ).
fof(f7,plain,
! [X0] :
( likes(sK1_skl,X0)
| ~ food(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f10,plain,
! [X0,X1] :
( food(X1)
| ~ not_killed_by(X0,X1)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f11,plain,
eats(sK2_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
alive(sK2_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
! [X0,X1] :
( not_killed_by(X0,X1)
| ~ alive(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
~ likes(sK1_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f17,plain,
~ food(sK0_skl),
inference(resolution,[status(thm)],[f15,f7]) ).
fof(f18,plain,
! [X0] :
( ~ not_killed_by(X0,sK0_skl)
| ~ eats(X0,sK0_skl) ),
inference(resolution,[status(thm)],[f17,f10]) ).
fof(f19,plain,
! [X0] :
( ~ alive(X0)
| ~ eats(X0,sK0_skl) ),
inference(resolution,[status(thm)],[f18,f14]) ).
fof(f20,plain,
~ eats(sK2_skl,sK0_skl),
inference(resolution,[status(thm)],[f19,f12]) ).
fof(f21,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f20,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ061+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n019.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 03:48:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.042517 seconds
% 0.13/0.41 % CPU time: 0.108708 seconds
% 0.13/0.41 % Total memory used: 34.782 MB
% 0.13/0.41 % Net memory used: 34.460 MB
%------------------------------------------------------------------------------