%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 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 : Sun Sep 27 08:21:24 AM UTC 2026
% Result : Theorem 3.73s 2.14s
% Output : Refutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 19
% Syntax : Number of formulae : 40 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 72 ( 7 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 129 ( 2 ~; 0 |; 7 &; 95 @)
% ( 1 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 0 ^; 24 !; 10 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(hates_decl,type,
hates: $i > $i > $o ).
thf(jon_decl,type,
jon: $i ).
thf(pet_decl,type,
pet: $i > $o ).
thf(human_decl,type,
human: $i > $o ).
thf(owner_decl,type,
owner: $i > $i > $o ).
thf(owner_of_decl,type,
owner_of: $i > $i ).
thf(cat_decl,type,
cat: $i > $o ).
thf(dog_decl,type,
dog: $i > $o ).
thf(garfield_decl,type,
garfield: $i ).
thf(chased_decl,type,
chased: $i > $i > $o ).
thf(odie_decl,type,
odie: $i ).
thf(16,axiom,
odie @ ( jon @ owner ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_o_owner_axiom) ).
thf(52,plain,
odie @ ( jon @ owner ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(17,axiom,
garfield @ ( jon @ owner ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_g_owner_axiom) ).
thf(53,plain,
garfield @ ( jon @ owner ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(10,axiom,
garfield @ cat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',garfield_type) ).
thf(41,plain,
garfield @ cat,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,axiom,
? [A: $i] : ( A @ pet ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pet_type) ).
thf(22,plain,
? [A: $i] : ( A @ pet ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(18,axiom,
jon @ human,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_type) ).
thf(54,plain,
jon @ human,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(9,axiom,
? [A: $i] : ( A @ cat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cat_type) ).
thf(39,plain,
? [A: $i] : ( A @ cat ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ cat )
=> ( A @ pet ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cat_pet_type) ).
thf(35,plain,
! [A: $i] :
( ( A @ cat )
=> ( A @ pet ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ dog )
=> ( A @ pet ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dog_pet_type) ).
thf(48,plain,
! [A: $i] :
( ( A @ dog )
=> ( A @ pet ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ pet )
=> ? [B: $i] :
( ( B @ ( A @ owner ) )
& ( B @ human ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pet_owner_axiom) ).
thf(43,plain,
! [A: $i] :
( ( A @ pet )
=> ? [B: $i] :
( ( B @ ( A @ owner ) )
& ( B @ human ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(19,axiom,
! [A: $i] :
( ! [B: $i] :
( ( B @ dog )
=> ( B @ ( jon @ owner ) ) )
=> ( A = odie ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_only_o_owner_axiom) ).
thf(55,plain,
! [A: $i] :
( ! [B: $i] :
( ( B @ dog )
=> ( B @ ( jon @ owner ) ) )
=> ( A = odie ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(11,axiom,
garfield @ ( odie @ chased ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odie_chase_axiom) ).
thf(42,plain,
garfield @ ( odie @ chased ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( B @ pet )
& ( A @ human ) )
=> ( ( B @ ( A @ owner ) )
<=> ( A
= ( B @ owner_of ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owner_def) ).
thf(24,plain,
! [A: $i,B: $i] :
( ( ( B @ pet )
& ( A @ human ) )
=> ( ( ( A
= ( B @ owner_of ) )
=> ( B @ ( A @ owner ) ) )
& ( ( B @ ( A @ owner ) )
=> ( A
= ( B @ owner_of ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,axiom,
? [A: $i] : ( A @ dog ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dog_type) ).
thf(37,plain,
? [A: $i] : ( A @ dog ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,conjecture,
jon @ ( jon @ hates ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_conjecture) ).
thf(2,negated_conjecture,
~ ( jon @ ( jon @ hates ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(21,plain,
~ ( jon @ ( jon @ hates ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
? [A: $i] : ( A @ human ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',human_type) ).
thf(33,plain,
? [A: $i] : ( A @ human ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( ( B @ dog )
& ( A @ cat ) )
=> ( ( A @ ( B @ chased ) )
=> ( B @ owner_of @ ( A @ owner_of @ hates ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cat_chase_axiom) ).
thf(50,plain,
! [A: $i,B: $i] :
( ( ( B @ dog )
& ( A @ cat ) )
=> ( ( A @ ( B @ chased ) )
=> ( B @ owner_of @ ( A @ owner_of @ hates ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ pet )
=> ( A @ owner_of @ human ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owner_of_type) ).
thf(31,plain,
! [A: $i] :
( ( A @ pet )
=> ( A @ owner_of @ human ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(13,axiom,
odie @ dog,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odie_type) ).
thf(47,plain,
odie @ dog,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(20,axiom,
! [A: $i] :
( ! [B: $i] :
( ( B @ cat )
=> ( B @ ( jon @ owner ) ) )
=> ( A = garfield ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_only_g_owner_axiom) ).
thf(62,plain,
! [A: $i] :
( ! [B: $i] :
( ( B @ cat )
=> ( B @ ( jon @ owner ) ) )
=> ( A = garfield ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(69,plain,
$false,
inference(e,[status(thm)],[52,53,41,22,54,39,35,48,43,55,42,24,37,21,33,50,31,47,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.12/0.38 % Computer : n006.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 05:17:41 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.71/0.70 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.92/0.89 % [INFO] Parsing done (185ms).
% 1.13/0.91 % [INFO] Running in sequential loop mode.
% 1.82/1.30 % [INFO] eprover registered as external prover.
% 1.82/1.30 % [INFO] Scanning for conjecture ...
% 1.82/1.39 % [INFO] Found a conjecture (or negated_conjecture) and 18 axioms. Running axiom selection ...
% 1.99/1.45 % [INFO] Axiom selection finished. Selected 18 axioms (removed 0 axioms).
% 1.99/1.49 % [INFO] Problem is first-order (TPTP FOF).
% 1.99/1.49 % [INFO] Type checking passed.
% 2.18/1.50 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.73/2.13 % External prover 'e' found a proof!
% 3.73/2.13 % [INFO] Killing All external provers ...
% 3.73/2.13 % Time passed: 1646ms (effective reasoning time: 1218ms)
% 3.73/2.13 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.73/2.13 % Axioms used in derivation (18): pet_owner_axiom, dog_type, cat_chase_axiom, owner_def, odie_chase_axiom, pet_type, jon_only_o_owner_axiom, jon_g_owner_axiom, cat_pet_type, odie_type, jon_only_g_owner_axiom, jon_o_owner_axiom, owner_of_type, cat_type, human_type, jon_type, dog_pet_type, garfield_type
% 3.73/2.13 % No. of inferences in proof: 40
% 3.73/2.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1646 ms resp. 1218 ms w/o parsing
% 3.73/2.19 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.73/2.19 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------