TSTP Solution File: SYO058^4 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO058^4 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n024.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 : Tue May 21 08:55:37 EDT 2024
% Result : Theorem 2.89s 1.62s
% Output : Refutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 15 ( 8 unt; 4 typ; 2 def)
% Number of atoms : 20 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 4 ~; 0 |; 0 &; 11 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 1 ^ 3 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(iatom_type,type,
iatom: ( $i > $o ) > $i > $o ).
thf(iatom_def,definition,
( iatom
= ( ^ [A: $i > $o] : A ) ) ).
thf(ivalid_type,type,
ivalid: ( $i > $o ) > $o ).
thf(ivalid_def,definition,
( ivalid
= ( '!' @ $i ) ) ).
thf(a_type,type,
a: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(1,conjecture,
ivalid @ ( iatom @ a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ( ivalid @ ( iatom @ a ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ! [A: $i] : ( a @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
~ ( a @ sk1 ),
inference(cnf,[status(esa)],[6]) ).
thf(5,axiom,
ivalid @ ( iatom @ a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom1) ).
thf(12,plain,
! [A: $i] : ( a @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(13,plain,
! [A: $i] : ( a @ A ),
inference(cnf,[status(esa)],[12]) ).
thf(14,plain,
~ $true,
inference(rewrite,[status(thm)],[7,13]) ).
thf(15,plain,
$false,
inference(simp,[status(thm)],[14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO058^4 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 09:46:54 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.98/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.39/0.98 % [INFO] Parsing done (123ms).
% 1.39/0.99 % [INFO] Running in sequential loop mode.
% 1.77/1.20 % [INFO] eprover registered as external prover.
% 1.77/1.20 % [INFO] cvc4 registered as external prover.
% 1.77/1.20 % [INFO] Scanning for conjecture ...
% 2.02/1.28 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.02/1.30 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.02/1.30 % [INFO] Problem is higher-order (TPTP THF).
% 2.02/1.30 % [INFO] Type checking passed.
% 2.02/1.30 % [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 ...
% 2.89/1.61 % [INFO] Killing All external provers ...
% 2.89/1.62 % Time passed: 1091ms (effective reasoning time: 618ms)
% 2.89/1.62 % 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)>
% 2.89/1.62 % Axioms used in derivation (1): axiom1
% 2.89/1.62 % No. of inferences in proof: 9
% 2.89/1.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1091 ms resp. 618 ms w/o parsing
% 3.09/1.66 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.09/1.66 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------