TSTP Solution File: PUZ130+1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ130+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:47:45 EDT 2023
% Result : Theorem 2.73s 1.76s
% Output : Refutation 3.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 30
% Syntax : Number of formulae : 51 ( 24 unt; 11 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 : 11 ( 11 >; 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_type,type,
hates: $i > $i > $o ).
thf(jon_type,type,
jon: $i ).
thf(pet_type,type,
pet: $i > $o ).
thf(human_type,type,
human: $i > $o ).
thf(owner_type,type,
owner: $i > $i > $o ).
thf(owner_of_type,type,
owner_of: $i > $i ).
thf(cat_type,type,
cat: $i > $o ).
thf(dog_type,type,
dog: $i > $o ).
thf(garfield_type,type,
garfield: $i ).
thf(chased_type,type,
chased: $i > $i > $o ).
thf(odie_type,type,
odie: $i ).
thf(18,axiom,
human @ jon,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_type) ).
thf(52,plain,
human @ jon,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(14,axiom,
! [A: $i] :
( ( dog @ A )
=> ( pet @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dog_pet_type) ).
thf(46,plain,
! [A: $i] :
( ( dog @ A )
=> ( pet @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(19,axiom,
! [A: $i] :
( ! [B: $i] :
( ( dog @ B )
=> ( owner @ jon @ B ) )
=> ( A = odie ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_only_o_owner_axiom) ).
thf(53,plain,
! [A: $i] :
( ! [B: $i] :
( ( dog @ B )
=> ( owner @ jon @ B ) )
=> ( A = odie ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(11,axiom,
chased @ odie @ garfield,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odie_chase_axiom) ).
thf(41,plain,
chased @ odie @ garfield,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( ( cat @ A )
& ( dog @ B ) )
=> ( ( chased @ B @ A )
=> ( hates @ ( owner_of @ A ) @ ( owner_of @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cat_chase_axiom) ).
thf(48,plain,
! [A: $i,B: $i] :
( ( ( cat @ A )
& ( dog @ B ) )
=> ( ( chased @ B @ A )
=> ( hates @ ( owner_of @ A ) @ ( owner_of @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(16,axiom,
owner @ jon @ odie,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_o_owner_axiom) ).
thf(50,plain,
owner @ jon @ odie,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(10,axiom,
cat @ garfield,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',garfield_type) ).
thf(40,plain,
cat @ garfield,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(12,axiom,
! [A: $i] :
( ( pet @ A )
=> ? [B: $i] :
( ( human @ B )
& ( owner @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pet_owner_axiom) ).
thf(42,plain,
! [A: $i] :
( ( pet @ A )
=> ? [B: $i] :
( ( human @ B )
& ( owner @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( human @ A )
& ( pet @ B ) )
=> ( ( owner @ A @ B )
<=> ( A
= ( owner_of @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owner_def) ).
thf(24,plain,
! [A: $i,B: $i] :
( ( ( human @ A )
& ( pet @ B ) )
=> ( ( ( owner @ A @ B )
=> ( A
= ( owner_of @ B ) ) )
& ( ( A
= ( owner_of @ B ) )
=> ( owner @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(9,axiom,
? [A: $i] : ( cat @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cat_type) ).
thf(38,plain,
? [A: $i] : ( cat @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(1,conjecture,
hates @ jon @ jon,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_conjecture) ).
thf(2,negated_conjecture,
~ ( hates @ jon @ jon ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(21,plain,
~ ( hates @ jon @ jon ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(13,axiom,
dog @ odie,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odie_type) ).
thf(45,plain,
dog @ odie,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(6,axiom,
? [A: $i] : ( human @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',human_type) ).
thf(32,plain,
? [A: $i] : ( human @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
! [A: $i] :
( ( cat @ A )
=> ( pet @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cat_pet_type) ).
thf(34,plain,
! [A: $i] :
( ( cat @ A )
=> ( pet @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(3,axiom,
? [A: $i] : ( pet @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pet_type) ).
thf(22,plain,
? [A: $i] : ( pet @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(20,axiom,
! [A: $i] :
( ! [B: $i] :
( ( cat @ B )
=> ( owner @ jon @ B ) )
=> ( A = garfield ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_only_g_owner_axiom) ).
thf(59,plain,
! [A: $i] :
( ! [B: $i] :
( ( cat @ B )
=> ( owner @ jon @ B ) )
=> ( A = garfield ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(8,axiom,
? [A: $i] : ( dog @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dog_type) ).
thf(36,plain,
? [A: $i] : ( dog @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(5,axiom,
! [A: $i] :
( ( pet @ A )
=> ( human @ ( owner_of @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owner_of_type) ).
thf(30,plain,
! [A: $i] :
( ( pet @ A )
=> ( human @ ( owner_of @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(17,axiom,
owner @ jon @ garfield,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_g_owner_axiom) ).
thf(51,plain,
owner @ jon @ garfield,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(65,plain,
$false,
inference(e,[status(thm)],[52,46,53,41,48,50,40,42,24,38,21,45,32,34,22,59,36,30,51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PUZ130+1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.15/0.34 % Computer : n026.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu May 18 20:14:36 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.85/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/0.95 % [INFO] Parsing done (116ms).
% 1.21/0.96 % [INFO] Running in sequential loop mode.
% 1.50/1.16 % [INFO] eprover registered as external prover.
% 1.50/1.16 % [INFO] cvc4 registered as external prover.
% 1.50/1.16 % [INFO] Scanning for conjecture ...
% 1.77/1.21 % [INFO] Found a conjecture and 18 axioms. Running axiom selection ...
% 1.90/1.25 % [INFO] Axiom selection finished. Selected 18 axioms (removed 0 axioms).
% 1.90/1.27 % [INFO] Problem is first-order (TPTP FOF).
% 1.90/1.27 % [INFO] Type checking passed.
% 1.90/1.27 % [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 ...
% 2.73/1.76 % External prover 'e' found a proof!
% 2.73/1.76 % [INFO] Killing All external provers ...
% 2.73/1.76 % Time passed: 1248ms (effective reasoning time: 793ms)
% 2.73/1.76 % 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)>
% 2.73/1.76 % 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
% 2.73/1.76 % No. of inferences in proof: 40
% 2.73/1.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1248 ms resp. 793 ms w/o parsing
% 3.27/1.87 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.27/1.87 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------