%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ130_1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.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 02:33:00 PM UTC 2026
% Result : Theorem 1.14s 1.27s
% Output : CNFRefutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 15 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 20 ( 12 ~; 7 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 22 ( 22 fml; 0 var)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 15 !; 1 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
cat_to_animal: cat > animal ).
tff(pred_def_1,type,
chased: ( cat * dog ) > $o ).
tff(pred_def_2,type,
hates: ( human * human ) > $o ).
tff(func_def_3,type,
odie: dog ).
tff(func_def_4,type,
jon: human ).
tff(func_def_5,type,
owner_of: animal > human ).
tff(func_def_6,type,
sK0: animal > human ).
tff(type_def_7,type,
dog: $tType ).
tff(type_def_8,type,
human: $tType ).
tff(f1,axiom,
! [X0: animal] :
? [X1: human] : ( X1 = owner_of(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',human_owner) ).
tff(f2,axiom,
jon = owner_of(cat_to_animal(garfield)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_owns_garfield) ).
tff(f3,axiom,
jon = owner_of(dog_to_animal(odie)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_owns_odie) ).
tff(f5,axiom,
! [X0: cat,X1: dog] :
( chased(X1,X0)
=> hates(owner_of(cat_to_animal(X0)),owner_of(dog_to_animal(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dog_chase_cat) ).
tff(f6,axiom,
chased(odie,garfield),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odie_chased_garfield) ).
tff(f7,conjecture,
hates(jon,jon),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_hates_jon) ).
tff(f8,negated_conjecture,
~ hates(jon,jon),
inference(negated_conjecture,[status(cth)],[f7]) ).
tff(f9,plain,
~ hates(jon,jon),
inference(flattening,[],[f8]) ).
tff(f12,plain,
! [X0: cat,X1: dog] :
( ~ chased(X1,X0)
| hates(owner_of(cat_to_animal(X0)),owner_of(dog_to_animal(X1))) ),
inference(ennf_transformation,[],[f5]) ).
tff(f13,plain,
! [X0: animal] : ( owner_of(X0) = sK0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f1]) ).
tff(f14,plain,
! [X0: animal] : ( owner_of(X0) = sK0(X0) ),
inference(cnf_transformation,[],[f13]) ).
tff(f15,plain,
jon = owner_of(cat_to_animal(garfield)),
inference(cnf_transformation,[],[f2]) ).
tff(f16,plain,
jon = owner_of(dog_to_animal(odie)),
inference(cnf_transformation,[],[f3]) ).
tff(f18,plain,
! [X0: cat,X1: dog] :
( ~ chased(X1,X0)
| hates(owner_of(cat_to_animal(X0)),owner_of(dog_to_animal(X1))) ),
inference(cnf_transformation,[],[f12]) ).
tff(f19,plain,
chased(odie,garfield),
inference(cnf_transformation,[],[f6]) ).
tff(f20,plain,
~ hates(jon,jon),
inference(cnf_transformation,[],[f9]) ).
tff(f21,plain,
jon = sK0(cat_to_animal(garfield)),
inference(definition_unfolding,[],[f15,f14]) ).
tff(f22,plain,
jon = sK0(dog_to_animal(odie)),
inference(definition_unfolding,[],[f16,f14]) ).
tff(f24,plain,
! [X0: cat,X1: dog] :
( ~ chased(X1,X0)
| hates(sK0(cat_to_animal(X0)),sK0(dog_to_animal(X1))) ),
inference(definition_unfolding,[],[f18,f14,f14]) ).
tcf(c_49,plain,
sK0(cat_to_animal(garfield)) = jon,
inference(cnf_transformation,[],[f21]) ).
tcf(c_50,plain,
sK0(dog_to_animal(odie)) = jon,
inference(cnf_transformation,[],[f22]) ).
tcf(c_52,plain,
! [X0_cat: cat,X0_dog: dog] :
( hates(sK0(cat_to_animal(X0_cat)),sK0(dog_to_animal(X0_dog)))
| ~ chased(X0_dog,X0_cat) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_53,plain,
chased(odie,garfield),
inference(cnf_transformation,[],[f19]) ).
tcf(c_54,negated_conjecture,
~ hates(jon,jon),
inference(cnf_transformation,[],[f20]) ).
tcf(c_83,plain,
! [X0_cat: cat,X0_dog: dog] :
( hates(sK0(cat_to_animal(X0_cat)),sK0(dog_to_animal(X0_dog)))
| ( X0_dog != odie )
| ( X0_cat != garfield ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_53]) ).
tcf(c_84,plain,
hates(sK0(cat_to_animal(garfield)),sK0(dog_to_animal(odie))),
inference(unflattening,[status(thm)],[c_83]) ).
tcf(c_89,plain,
( ( sK0(dog_to_animal(odie)) != jon )
| ( sK0(cat_to_animal(garfield)) != jon ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_84]) ).
tcf(c_90,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_89,c_49,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ130_1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 06:59:56 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.40 Running first-order theorem proving
% 0.02/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.41
% 0.02/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.41
% 0.02/0.41 % Detected problem language: tptp
% 0.02/0.42 % Proving...
% 1.14/1.27 % SZS status Started for theBenchmark.p
% 1.14/1.27 % SZS status Theorem for theBenchmark.p
% 1.14/1.27
% 1.14/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.14/1.27
% 1.14/1.27 % ------ iProver source info
% 1.14/1.27
% 1.14/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.14/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.14/1.27 % git: non_committed_changes: false
% 1.14/1.27
% 1.14/1.27 % ------ Parsing...
% 1.14/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.14/1.27 %
% 1.14/1.27
% 1.14/1.27 % ------ Preprocessing... sup_sim: 0 pe_s pe:1:0s%
% 1.14/1.27
% 1.14/1.27 % SZS status Theorem for theBenchmark.p
% 1.14/1.27
% 1.14/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.14/1.27
% 1.14/1.27
%------------------------------------------------------------------------------