TSTP Solution File: PUZ060+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ060+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n007.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 11:47:36 EDT 2023
% Result : Theorem 3.04s 1.71s
% Output : Refutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 9 ( 1 unt; 5 typ; 0 def)
% Number of atoms : 43 ( 0 equ; 0 cnn)
% Maximal formula atoms : 14 ( 10 avg)
% Number of connectives : 107 ( 2 ~; 0 |; 24 &; 66 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 16 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 36 ( 0 ^; 33 !; 3 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(food_type,type,
food: $i > $o ).
thf(likes_type,type,
likes: $i > $i > $o ).
thf(eats_type,type,
eats: $i > $i > $o ).
thf(not_killed_by_type,type,
not_killed_by: $i > $i > $o ).
thf(alive_type,type,
alive: $i > $o ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ! [G: $i] :
( ( food @ G )
=> ( likes @ B @ G ) )
& ( food @ E )
& ( food @ F )
& ! [G: $i] :
( ? [H: $i] :
( ( eats @ H @ G )
& ( not_killed_by @ H @ G ) )
=> ( food @ G ) )
& ( eats @ C @ A )
& ( alive @ C )
& ! [G: $i] :
( ( eats @ C @ G )
=> ( eats @ D @ G ) )
& ! [G: $i] :
( ( alive @ G )
=> ! [H: $i] : ( not_killed_by @ G @ H ) ) )
=> ( likes @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ! [G: $i] :
( ( food @ G )
=> ( likes @ B @ G ) )
& ( food @ E )
& ( food @ F )
& ! [G: $i] :
( ? [H: $i] :
( ( eats @ H @ G )
& ( not_killed_by @ H @ G ) )
=> ( food @ G ) )
& ( eats @ C @ A )
& ( alive @ C )
& ! [G: $i] :
( ( eats @ C @ G )
=> ( eats @ D @ G ) )
& ! [G: $i] :
( ( alive @ G )
=> ! [H: $i] : ( not_killed_by @ G @ H ) ) )
=> ( likes @ B @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ! [G: $i] :
( ( food @ G )
=> ( likes @ B @ G ) )
& ( food @ E )
& ( food @ F )
& ! [G: $i] :
( ? [H: $i] :
( ( eats @ H @ G )
& ( not_killed_by @ H @ G ) )
=> ( food @ G ) )
& ( eats @ C @ A )
& ( alive @ C )
& ! [G: $i] :
( ( eats @ C @ G )
=> ( eats @ D @ G ) )
& ! [G: $i] :
( ( alive @ G )
=> ! [H: $i] : ( not_killed_by @ G @ H ) ) )
=> ( likes @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(19,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PUZ060+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.17/0.38 % Computer : n007.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Thu May 18 19:46:39 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.79/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.13/0.97 % [INFO] Parsing done (112ms).
% 1.13/0.98 % [INFO] Running in sequential loop mode.
% 1.61/1.20 % [INFO] eprover registered as external prover.
% 1.61/1.20 % [INFO] cvc4 registered as external prover.
% 1.68/1.21 % [INFO] Scanning for conjecture ...
% 1.78/1.28 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.78/1.31 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.78/1.31 % [INFO] Problem is first-order (TPTP FOF).
% 1.78/1.31 % [INFO] Type checking passed.
% 1.78/1.31 % [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 ...
% 3.04/1.71 % External prover 'e' found a proof!
% 3.04/1.71 % [INFO] Killing All external provers ...
% 3.04/1.71 % Time passed: 1178ms (effective reasoning time: 723ms)
% 3.04/1.71 % 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)>
% 3.04/1.71 % Axioms used in derivation (0):
% 3.04/1.71 % No. of inferences in proof: 4
% 3.04/1.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1178 ms resp. 723 ms w/o parsing
% 3.04/1.73 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.04/1.73 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------