%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 08:22:19 AM UTC 2026
% Result : Theorem 10.88s 1.80s
% Output : CNFRefutation 11.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 21 unt; 0 def)
% Number of atoms : 67 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 56 ( 26 ~; 22 |; 2 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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 : 14 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(garfield_type,axiom,
cat(garfield) ).
fof(odie_type,axiom,
dog(odie) ).
fof(dog_pet_type,axiom,
! [X0] :
( dog(X0)
=> pet(X0) ) ).
fof(cat_pet_type,axiom,
! [X0] :
( cat(X0)
=> pet(X0) ) ).
fof(jon_type,axiom,
human(jon) ).
fof(jon_o_owner_axiom,axiom,
owner(jon,odie) ).
fof(jon_g_owner_axiom,axiom,
owner(jon,garfield) ).
fof(cat_chase_axiom,axiom,
! [X0,X1] :
( ( dog(X1)
& cat(X0) )
=> ( chased(X1,X0)
=> hates('owner$uof'(X0),'owner$uof'(X1)) ) ) ).
fof(owner_def,axiom,
! [X0,X1] :
( ( pet(X1)
& human(X0) )
=> ( owner(X0,X1)
<=> X0 = 'owner$uof'(X1) ) ) ).
fof(odie_chase_axiom,axiom,
chased(odie,garfield) ).
fof(jon_conjecture,conjecture,
hates(jon,jon) ).
fof(negated_conjecture,negated_conjecture,
~ hates(jon,jon),
inference(negate_conjecture,[status(cth)],[jon_conjecture]) ).
cnf(c1,plain,
cat(garfield),
inference(clausification,[status(esa)],[garfield_type]) ).
cnf(c3,plain,
dog(odie),
inference(clausification,[status(esa)],[odie_type]) ).
cnf(c5,plain,
( pet(X0)
| ~ dog(X0) ),
inference(clausification,[status(esa)],[dog_pet_type]) ).
cnf(c6,plain,
( pet(X0)
| ~ cat(X0) ),
inference(clausification,[status(esa)],[cat_pet_type]) ).
cnf(c8,plain,
human(jon),
inference(clausification,[status(esa)],[jon_type]) ).
cnf(c12,plain,
owner(jon,odie),
inference(clausification,[status(esa)],[jon_o_owner_axiom]) ).
cnf(c13,plain,
owner(jon,garfield),
inference(clausification,[status(esa)],[jon_g_owner_axiom]) ).
cnf(c18,plain,
( hates('owner$uof'(X0),'owner$uof'(X1))
| ~ chased(X1,X0)
| ~ dog(X1)
| ~ cat(X0) ),
inference(clausification,[status(esa)],[cat_chase_axiom]) ).
cnf(c19,plain,
( X0 = 'owner$uof'(X1)
| ~ owner(X0,X1)
| ~ pet(X1)
| ~ human(X0) ),
inference(clausification,[status(esa)],[owner_def]) ).
cnf(c21,plain,
chased(odie,garfield),
inference(clausification,[status(esa)],[odie_chase_axiom]) ).
cnf(c22,plain,
~ hates(jon,jon),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ human(jon)
| ~ pet(odie)
| jon = 'owner$uof'(odie) ),
inference(resolution,[status(thm)],[c19,c12]) ).
cnf(d1,plain,
( ~ pet(odie)
| jon = 'owner$uof'(odie) ),
inference(resolution,[status(thm)],[c8,d0]) ).
cnf(d2,plain,
pet(odie),
inference(resolution,[status(thm)],[c5,c3]) ).
cnf(d3,plain,
jon = 'owner$uof'(odie),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ chased(odie,X0)
| ~ dog(odie)
| ~ cat(X0)
| hates('owner$uof'(X0),jon) ),
inference(superposition,[status(thm)],[d3,c18]) ).
cnf(d5,plain,
( hates('owner$uof'(X0),jon)
| ~ chased(odie,X0)
| ~ cat(X0) ),
inference(resolution,[status(thm)],[c3,d4]) ).
cnf(d6,plain,
( ~ human(jon)
| ~ pet(garfield)
| jon = 'owner$uof'(garfield) ),
inference(resolution,[status(thm)],[c19,c13]) ).
cnf(d7,plain,
( ~ pet(garfield)
| jon = 'owner$uof'(garfield) ),
inference(resolution,[status(thm)],[c8,d6]) ).
cnf(d8,plain,
pet(garfield),
inference(resolution,[status(thm)],[c6,c1]) ).
cnf(d9,plain,
jon = 'owner$uof'(garfield),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( ~ chased(odie,garfield)
| ~ cat(garfield)
| hates(jon,jon) ),
inference(superposition,[status(thm)],[d9,d5]) ).
cnf(d11,plain,
( ~ chased(odie,garfield)
| ~ cat(garfield) ),
inference(resolution,[status(thm)],[c22,d10]) ).
cnf(d12,plain,
~ chased(odie,garfield),
inference(resolution,[status(thm)],[c1,d11]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[c21,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 05:21:13 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.88/1.80 % SZS status Theorem for theBenchmark.p
% 10.88/1.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------