TSTP Solution File: SYO557^1 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO557^1 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 08:57:22 EDT 2024
% Result : Theorem 4.44s 2.44s
% Output : Refutation 4.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 9 unt; 3 typ; 0 def)
% Number of atoms : 43 ( 6 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 68 ( 15 ~; 9 |; 0 &; 43 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 4 ^ 6 !; 5 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(eps_type,type,
eps: ( $i > $o ) > $i ).
thf(sk1_type,type,
sk1: $i > $o ).
thf(sk2_type,type,
sk2: $i ).
thf(1,conjecture,
( ( ^ [A: $i > $o] : ( A @ ( eps @ A ) ) )
= ( '?' @ $i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
( ( ^ [A: $i > $o] : ( A @ ( eps @ A ) ) )
!= ( '?' @ $i ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
( ( ^ [A: $i > $o] : ( A @ ( eps @ A ) ) )
!= ( '?' @ $i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
( ( ^ [A: $i > $o] : ( A @ ( eps @ A ) ) )
!= ( '?' @ $i ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(10,plain,
( ( sk1 @ ( eps @ sk1 ) )
!= ( ? [A: $i] : ( sk1 @ A ) ) ),
inference(func_ext,[status(esa)],[5]) ).
thf(12,plain,
( ( sk1 @ ( eps @ sk1 ) )
| ? [A: $i] : ( sk1 @ A ) ),
inference(bool_ext,[status(thm)],[10]) ).
thf(16,plain,
( ( sk1 @ sk2 )
| ( sk1 @ ( eps @ sk1 ) ) ),
inference(cnf,[status(esa)],[12]) ).
thf(11,plain,
( ~ ( sk1 @ ( eps @ sk1 ) )
| ~ ? [A: $i] : ( sk1 @ A ) ),
inference(bool_ext,[status(thm)],[10]) ).
thf(15,plain,
! [A: $i] :
( ~ ( sk1 @ A )
| ~ ( sk1 @ ( eps @ sk1 ) ) ),
inference(cnf,[status(esa)],[11]) ).
thf(34,plain,
! [A: $i] :
( ~ ( sk1 @ A )
| ( ( sk1 @ ( eps @ sk1 ) )
!= ( sk1 @ A ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[15]) ).
thf(36,plain,
~ ( sk1 @ ( eps @ sk1 ) ),
inference(pattern_uni,[status(thm)],[34:[bind(A,$thf( eps @ sk1 ))]]) ).
thf(38,plain,
( ( sk1 @ sk2 )
| $false ),
inference(rewrite,[status(thm)],[16,36]) ).
thf(39,plain,
sk1 @ sk2,
inference(simp,[status(thm)],[38]) ).
thf(13,axiom,
? [A: ( $i > $o ) > $i] :
! [B: $i > $o] :
( ? [C: $i] : ( B @ C )
=> ( B @ ( A @ B ) ) ),
introduced(axiom_of_choice) ).
thf(14,plain,
! [A: $i] :
( ~ ( sk1 @ A )
| ( sk1 @ ( eps @ sk1 ) ) ),
inference(choice,[status(esa)],[13]) ).
thf(49,plain,
! [A: $i] :
( ~ ( sk1 @ A )
| $false ),
inference(rewrite,[status(thm)],[14,36]) ).
thf(50,plain,
! [A: $i] :
~ ( sk1 @ A ),
inference(simp,[status(thm)],[49]) ).
thf(52,plain,
$false,
inference(rewrite,[status(thm)],[39,50]) ).
thf(53,plain,
$false,
inference(simp,[status(thm)],[52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO557^1 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.06/0.13 % Command : run_Leo-III %s %d
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 10:44:54 EDT 2024
% 0.14/0.34 % CPUTime :
% 1.00/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.32/1.13 % [INFO] Parsing done (156ms).
% 1.32/1.14 % [INFO] Running in sequential loop mode.
% 1.83/1.51 % [INFO] eprover registered as external prover.
% 1.83/1.51 % [INFO] cvc4 registered as external prover.
% 1.93/1.52 % [INFO] Scanning for conjecture ...
% 2.03/1.60 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.03/1.63 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.19/1.63 % [INFO] Problem is higher-order (TPTP THF).
% 2.19/1.64 % [INFO] Type checking passed.
% 2.19/1.64 % [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 ...
% 4.44/2.43 % [INFO] Killing All external provers ...
% 4.44/2.43 % Time passed: 1938ms (effective reasoning time: 1284ms)
% 4.44/2.43 % 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)>
% 4.44/2.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1938 ms resp. 1284 ms w/o parsing
% 4.44/2.47 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.44/2.47 % [INFO] Killing All external provers ...
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