%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 02:00:08 PM UTC 2026
% Result : Theorem 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 42 ( 21 unt; 0 def)
% Number of atoms : 82 ( 11 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 72 ( 32 ~; 30 |; 3 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
cat(garfield),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
dog(odie),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] :
( dog(A)
=> pet(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] :
( cat(A)
=> pet(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
human(jon),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
owner(jon,odie),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
owner(jon,garfield),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] :
( ( dog(Y)
& cat(X) )
=> ( chased(Y,X)
=> hates(owner_of(X),owner_of(Y)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Y] :
( ( pet(Y)
& human(X) )
=> ( owner(X,Y)
<=> X = owner_of(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
chased(odie,garfield),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
hates(jon,jon),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ hates(jon,jon),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f23,plain,
cat(garfield),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f26,plain,
dog(odie),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f29,plain,
! [A] :
( pet(A)
| ~ dog(A) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f30,plain,
! [X0] :
( pet(X0)
| ~ dog(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
! [A] :
( pet(A)
| ~ cat(A) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f32,plain,
! [X0] :
( pet(X0)
| ~ cat(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f35,plain,
human(jon),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f42,plain,
owner(jon,odie),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f43,plain,
owner(jon,garfield),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f54,plain,
! [X,Y] :
( hates(owner_of(X),owner_of(Y))
| ~ chased(Y,X)
| ~ dog(Y)
| ~ cat(X) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f55,plain,
! [X0,X1] :
( hates(owner_of(X0),owner_of(X1))
| ~ chased(X1,X0)
| ~ dog(X1)
| ~ cat(X0) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f56,plain,
! [X,Y] :
( ( owner(X,Y)
<=> X = owner_of(Y) )
| ~ pet(Y)
| ~ human(X) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f57,plain,
! [X,Y] :
( ( ( X != owner_of(Y)
| owner(X,Y) )
& ( X = owner_of(Y)
| ~ owner(X,Y) ) )
| ~ pet(Y)
| ~ human(X) ),
inference(NNF_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( X0 = owner_of(X1)
| ~ owner(X0,X1)
| ~ pet(X1)
| ~ human(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f60,plain,
chased(odie,garfield),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f61,plain,
~ hates(jon,jon),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f63,plain,
pet(odie),
inference(resolution,[status(thm)],[f30,f26]) ).
fof(f65,plain,
pet(garfield),
inference(resolution,[status(thm)],[f32,f23]) ).
fof(f84,plain,
( jon = owner_of(garfield)
| ~ pet(garfield)
| ~ human(jon) ),
inference(resolution,[status(thm)],[f58,f43]) ).
fof(f85,plain,
( jon = owner_of(odie)
| ~ pet(odie)
| ~ human(jon) ),
inference(resolution,[status(thm)],[f58,f42]) ).
fof(f86,plain,
( jon = owner_of(garfield)
| ~ pet(garfield) ),
inference(forward_subsumption_resolution,[status(thm)],[f84,f35]) ).
fof(f87,plain,
( jon = owner_of(odie)
| ~ pet(odie) ),
inference(forward_subsumption_resolution,[status(thm)],[f85,f35]) ).
fof(f94,plain,
( hates(owner_of(garfield),owner_of(odie))
| ~ dog(odie)
| ~ cat(garfield) ),
inference(resolution,[status(thm)],[f60,f55]) ).
fof(f95,plain,
( hates(owner_of(garfield),owner_of(odie))
| ~ dog(odie) ),
inference(forward_subsumption_resolution,[status(thm)],[f94,f23]) ).
fof(f105,plain,
jon = owner_of(garfield),
inference(forward_subsumption_resolution,[status(thm)],[f86,f65]) ).
fof(f107,plain,
jon = owner_of(odie),
inference(forward_subsumption_resolution,[status(thm)],[f87,f63]) ).
fof(f108,plain,
( hates(jon,owner_of(odie))
| ~ dog(odie) ),
inference(forward_demodulation,[status(thm)],[f105,f95]) ).
fof(f109,plain,
( hates(jon,jon)
| ~ dog(odie) ),
inference(forward_demodulation,[status(thm)],[f107,f108]) ).
fof(f111,plain,
hates(jon,jon),
inference(forward_subsumption_resolution,[status(thm)],[f109,f26]) ).
fof(f112,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f61,f111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38 % Computer : n011.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 21 03:52:26 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.40 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.45 % Elapsed time: 0.054729 seconds
% 0.13/0.45 % CPU time: 0.156558 seconds
% 0.13/0.45 % Total memory used: 67.642 MB
% 0.13/0.45 % Net memory used: 67.413 MB
%------------------------------------------------------------------------------