%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/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 08:23:21 AM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 23 unt; 0 def)
% Number of atoms : 62 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 19 ~; 17 |; 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 : 15 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dog_pet_type,axiom,
! [A] :
( dog(A)
=> pet(A) ),
file('theBenchmark.p',dog_pet_type) ).
fof(cat_pet_type,axiom,
! [A] :
( cat(A)
=> pet(A) ),
file('theBenchmark.p',cat_pet_type) ).
fof(cat_chase_axiom,axiom,
! [X,Y] :
( ( dog(Y)
& cat(X) )
=> ( chased(Y,X)
=> hates(owner_of(X),owner_of(Y)) ) ),
file('theBenchmark.p',cat_chase_axiom) ).
fof(owner_def,axiom,
! [X,Y] :
( ( pet(Y)
& human(X) )
=> ( owner(X,Y)
<=> X = owner_of(Y) ) ),
file('theBenchmark.p',owner_def) ).
fof(jon_conjecture,conjecture,
hates(jon,jon),
file('theBenchmark.p',jon_conjecture) ).
fof(jon_conjecture_neg,negated_conjecture,
~ hates(jon,jon),
inference(assume_negation,[status(cth)],[jon_conjecture]) ).
cnf(c_14,plain,
( pet(A)
| ~ cat(A) ),
inference(clausify,[status(thm)],[cat_pet_type]) ).
fof(garfield_type,axiom,
cat(garfield),
file('theBenchmark.p',garfield_type) ).
cnf(c_15,plain,
cat(garfield),
inference(clausify,[status(thm)],[garfield_type]) ).
cnf(c_18,plain,
( hates(owner_of(A),owner_of(B))
| ~ chased(B,A)
| ~ dog(B)
| ~ cat(A) ),
inference(clausify,[status(thm)],[cat_chase_axiom]) ).
cnf(c_21,plain,
( hates(owner_of(garfield),owner_of(A))
| ~ chased(A,garfield)
| ~ dog(A) ),
inference(resolve,[status(thm)],[c_18,c_15]) ).
cnf(c_23,plain,
( pet(A)
| ~ dog(A) ),
inference(clausify,[status(thm)],[dog_pet_type]) ).
fof(odie_type,axiom,
dog(odie),
file('theBenchmark.p',odie_type) ).
cnf(c_24,plain,
dog(odie),
inference(clausify,[status(thm)],[odie_type]) ).
cnf(c_29,plain,
pet(odie),
inference(resolve,[status(thm)],[c_24,c_23]) ).
cnf(c_33,plain,
( owner_of(B) = A
| ~ owner(A,B)
| ~ pet(B)
| ~ human(A) ),
inference(clausify,[status(thm)],[owner_def]) ).
cnf(c_35,plain,
pet(garfield),
inference(resolve,[status(thm)],[c_14,c_15]) ).
cnf(c_48,plain,
( owner_of(garfield) = A
| ~ owner(A,garfield)
| ~ human(A) ),
inference(resolve,[status(thm)],[c_35,c_33]) ).
cnf(c_55,plain,
( owner_of(odie) = A
| ~ owner(A,odie)
| ~ human(A) ),
inference(resolve,[status(thm)],[c_33,c_29]) ).
fof(jon_type,axiom,
human(jon),
file('theBenchmark.p',jon_type) ).
cnf(c_66,plain,
human(jon),
inference(clausify,[status(thm)],[jon_type]) ).
cnf(c_92,plain,
( owner_of(garfield) = jon
| ~ owner(jon,garfield) ),
inference(resolve,[status(thm)],[c_66,c_48]) ).
cnf(c_100,plain,
( owner_of(odie) = jon
| ~ owner(jon,odie) ),
inference(resolve,[status(thm)],[c_66,c_55]) ).
cnf(c_471,plain,
( hates(owner_of(garfield),owner_of(odie))
| ~ chased(odie,garfield) ),
inference(resolve,[status(thm)],[c_24,c_21]) ).
fof(jon_o_owner_axiom,axiom,
owner(jon,odie),
file('theBenchmark.p',jon_o_owner_axiom) ).
cnf(c_480,plain,
owner(jon,odie),
inference(clausify,[status(thm)],[jon_o_owner_axiom]) ).
fof(jon_g_owner_axiom,axiom,
owner(jon,garfield),
file('theBenchmark.p',jon_g_owner_axiom) ).
cnf(c_481,plain,
owner(jon,garfield),
inference(clausify,[status(thm)],[jon_g_owner_axiom]) ).
fof(odie_chase_axiom,axiom,
chased(odie,garfield),
file('theBenchmark.p',odie_chase_axiom) ).
cnf(c_486,plain,
chased(odie,garfield),
inference(clausify,[status(thm)],[odie_chase_axiom]) ).
cnf(c_487,negated_conjecture,
~ hates(jon,jon),
inference(clausify,[status(thm)],[jon_conjecture_neg]) ).
cnf(c_503,plain,
owner_of(odie) = jon,
inference(resolve,[status(thm)],[c_480,c_100]) ).
cnf(c_504,plain,
owner_of(garfield) = jon,
inference(resolve,[status(thm)],[c_481,c_92]) ).
cnf(c_505,plain,
hates(owner_of(garfield),owner_of(odie)),
inference(resolve,[status(thm)],[c_486,c_471]) ).
cnf(c_551,plain,
hates(owner_of(garfield),jon),
inference(paramod,[status(thm)],[c_503,c_505]) ).
cnf(c_554,plain,
hates(jon,jon),
inference(paramod,[status(thm)],[c_504,c_551]) ).
cnf(c_553,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_487,c_554]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.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 : Sat Sep 26 05:21:13 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 3207177 was started by sandbox on n015,
% 0.10/0.37 % Sat Sep 26 05:21:13 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.37
% 0.10/0.37 % From the command line: assign(max_seconds, 300).
% 0.10/0.40
% 0.10/0.40 % SZS status Theorem for theBenchmark
% 0.10/0.40
% 0.10/0.40 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.10/0.40 % Length of proof is 29.
% 0.10/0.40 % Level of proof is 7.
% 0.10/0.40 % Maximum clause weight is 18.000.
% 0.10/0.40 % Given clauses 250.
% 0.10/0.40
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------