TSTP Solution File: LCL727^5 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : LCL727^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n020.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 : Mon Jun 24 11:15:31 EDT 2024
% Result : Theorem 3.38s 2.12s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 61 ( 4 ~; 0 |; 0 &; 42 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 44 ( 44 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 31 ( 0 ^ 19 !; 12 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk2_type,type,
sk2: ( a > $o ) > $o ).
thf(sk4_type,type,
sk4: ( ( a > $o ) > a ) > a > $o ).
thf(1,conjecture,
( ! [A: ( a > $o ) > a > $o] :
? [B: ( a > $o ) > a] :
! [C: a > $o] :
( ? [D: a] : ( A @ C @ D )
=> ( A @ C @ ( B @ C ) ) )
=> ! [A: ( a > $o ) > $o] :
( ! [B: a > $o] :
( ( A @ B )
=> ? [C: a] : ( B @ C ) )
=> ? [B: ( a > $o ) > a] :
! [C: a > $o] :
( ( A @ C )
=> ( C @ ( B @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM533) ).
thf(2,negated_conjecture,
~ ( ! [A: ( a > $o ) > a > $o] :
? [B: ( a > $o ) > a] :
! [C: a > $o] :
( ? [D: a] : ( A @ C @ D )
=> ( A @ C @ ( B @ C ) ) )
=> ! [A: ( a > $o ) > $o] :
( ! [B: a > $o] :
( ( A @ B )
=> ? [C: a] : ( B @ C ) )
=> ? [B: ( a > $o ) > a] :
! [C: a > $o] :
( ( A @ C )
=> ( C @ ( B @ C ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: ( a > $o ) > a > $o] :
? [B: ( a > $o ) > a] :
! [C: a > $o] :
( ? [D: a] : ( A @ C @ D )
=> ( A @ C @ ( B @ C ) ) )
=> ! [A: ( a > $o ) > $o] :
( ! [B: a > $o] :
( ( A @ B )
=> ? [C: a] : ( B @ C ) )
=> ? [B: ( a > $o ) > a] :
! [C: a > $o] :
( ( A @ C )
=> ( C @ ( B @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [A: ( a > $o ) > a] :
~ ( sk4 @ A @ ( A @ ( sk4 @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
! [A: ( a > $o ) > a] :
~ ( sk4 @ A @ ( A @ ( sk4 @ A ) ) ),
inference(simp,[status(thm)],[4]) ).
thf(5,plain,
! [A: ( a > $o ) > a] : ( sk2 @ ( sk4 @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
! [A: ( a > $o ) > a] : ( sk2 @ ( sk4 @ A ) ),
inference(simp,[status(thm)],[5]) ).
thf(37,plain,
$false,
inference(e,[status(thm)],[3,8,9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LCL727^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.11 % Command : run_Leo-III %s %d THM
% 0.10/0.32 % Computer : n020.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sat Jun 22 14:44:55 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.85/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.11/0.95 % [INFO] Parsing done (107ms).
% 1.11/0.96 % [INFO] Running in sequential loop mode.
% 1.61/1.26 % [INFO] eprover registered as external prover.
% 1.61/1.27 % [INFO] Scanning for conjecture ...
% 1.84/1.36 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.84/1.39 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.84/1.39 % [INFO] Problem is higher-order (TPTP THF).
% 1.84/1.40 % [INFO] Type checking passed.
% 1.84/1.40 % [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 ...
% 3.38/2.12 % External prover 'e' found a proof!
% 3.38/2.12 % [INFO] Killing All external provers ...
% 3.38/2.12 % Time passed: 1611ms (effective reasoning time: 1153ms)
% 3.38/2.12 % 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)>
% 3.38/2.12 % Axioms used in derivation (0):
% 3.38/2.12 % No. of inferences in proof: 8
% 3.38/2.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1611 ms resp. 1153 ms w/o parsing
% 3.50/2.15 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.50/2.15 % [INFO] Killing All external provers ...
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