%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n020.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 : Fri Sep 25 02:32:07 PM UTC 2026
% Result : Theorem 2.66s 0.77s
% Output : Proof 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 52 ( 31 unt; 0 def)
% Number of atoms : 95 ( 11 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 80 ( 37 ~; 33 |; 4 &)
% ( 1 <=>; 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 : 26 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X,Y] :
( ( pet(Y)
& human(X) )
=> ( owner(X,Y)
<=> X = owner_of(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owner_def) ).
fof(f16_nnf,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)],[f16]) ).
fof(f16_sk,plain,
! [X,Y] :
( ( ( X != owner_of(Y)
| owner(X,Y) )
& ( X = owner_of(Y)
| ~ owner(X,Y) ) )
| ~ pet(Y)
| ~ human(X) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c19,plain,
( X0 = owner_of(X1)
| ~ owner(X0,X1)
| ~ pet(X1)
| ~ human(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
fof(f8,axiom,
human(jon),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_type) ).
fof(f8_nnf,plain,
human(jon),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
human(jon),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(p36,plain,
( jon = owner_of(X0)
| ~ owner(jon,X0)
| ~ pet(X0) ),
inference(resolution,[status(thm)],[c19,c8]) ).
fof(f6,axiom,
! [A] :
( cat(A)
=> pet(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cat_pet_type) ).
fof(f6_nnf,plain,
! [A] :
( pet(A)
| ~ cat(A) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [A] :
( pet(A)
| ~ cat(A) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( pet(X0)
| ~ cat(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
fof(f1,axiom,
cat(garfield),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',garfield_type) ).
fof(f1_nnf,plain,
cat(garfield),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
cat(garfield),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(p26,plain,
pet(garfield),
inference(resolution,[status(thm)],[c6,c1]) ).
cnf(p82,plain,
( jon = owner_of(garfield)
| ~ owner(jon,garfield) ),
inference(resolution,[status(thm)],[p36,p26]) ).
fof(f12,axiom,
owner(jon,garfield),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_g_owner_axiom) ).
fof(f12_nnf,plain,
owner(jon,garfield),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c13,plain,
owner(jon,garfield),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(p161,plain,
jon = owner_of(garfield),
inference(resolution,[status(thm)],[p82,c13]) ).
fof(f5,axiom,
! [A] :
( dog(A)
=> pet(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dog_pet_type) ).
fof(f5_nnf,plain,
! [A] :
( pet(A)
| ~ dog(A) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [A] :
( pet(A)
| ~ dog(A) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( pet(X0)
| ~ dog(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f3,axiom,
dog(odie),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odie_type) ).
fof(f3_nnf,plain,
dog(odie),
inference(nnf_transformation,[status(thm)],[f3]) ).
cnf(c3,plain,
dog(odie),
inference(cnf_transformation,[status(esa)],[f3_nnf]) ).
cnf(p24,plain,
pet(odie),
inference(resolution,[status(thm)],[c5,c3]) ).
cnf(p80,plain,
( jon = owner_of(odie)
| ~ owner(jon,odie) ),
inference(resolution,[status(thm)],[p36,p24]) ).
fof(f11,axiom,
owner(jon,odie),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_o_owner_axiom) ).
fof(f11_nnf,plain,
owner(jon,odie),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c12,plain,
owner(jon,odie),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(p160,plain,
jon = owner_of(odie),
inference(resolution,[status(thm)],[p80,c12]) ).
fof(f15,axiom,
! [X,Y] :
( ( dog(Y)
& cat(X) )
=> ( chased(Y,X)
=> hates(owner_of(X),owner_of(Y)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cat_chase_axiom) ).
fof(f15_nnf,plain,
! [X,Y] :
( hates(owner_of(X),owner_of(Y))
| ~ chased(Y,X)
| ~ dog(Y)
| ~ cat(X) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X,Y] :
( hates(owner_of(X),owner_of(Y))
| ~ chased(Y,X)
| ~ dog(Y)
| ~ cat(X) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c18,plain,
( hates(owner_of(X0),owner_of(X1))
| ~ chased(X1,X0)
| ~ dog(X1)
| ~ cat(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p33,plain,
( hates(owner_of(garfield),owner_of(X0))
| ~ chased(X0,garfield)
| ~ dog(X0) ),
inference(resolution,[status(thm)],[c18,c1]) ).
cnf(p66,plain,
( hates(owner_of(garfield),owner_of(odie))
| ~ chased(odie,garfield) ),
inference(resolution,[status(thm)],[p33,c3]) ).
fof(f17,axiom,
chased(odie,garfield),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odie_chase_axiom) ).
fof(f17_nnf,plain,
chased(odie,garfield),
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c21,plain,
chased(odie,garfield),
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(p153,plain,
hates(owner_of(garfield),owner_of(odie)),
inference(resolution,[status(thm)],[p66,c21]) ).
cnf(p344,plain,
hates(owner_of(garfield),jon),
inference(superposition,[status(thm)],[p160,p153]) ).
cnf(p463,plain,
hates(jon,jon),
inference(superposition,[status(thm)],[p161,p344]) ).
fof(f18,conjecture,
hates(jon,jon),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_conjecture) ).
fof(f18_neg,negated_conjecture,
~ hates(jon,jon),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f18_nnf,plain,
~ hates(jon,jon),
inference(nnf_transformation,[status(thm)],[f18_neg]) ).
fof(f18_sk,plain,
~ hates(jon,jon),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c22,plain,
~ hates(jon,jon),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p502,plain,
$false,
inference(resolution,[status(thm)],[p463,c22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.07/0.34 % Computer : n020.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Thu Sep 24 07:01:03 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.66/0.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/0.77 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------