TSTP Solution File: SEV014^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEV014^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.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 04:09:48 EDT 2024
% Result : Theorem 2.42s 1.48s
% Output : Refutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 4 unt; 3 typ; 0 def)
% Number of atoms : 4 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 0 avg)
% Number of connectives : 68 ( 4 ~; 0 |; 9 &; 46 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 0 ^ 25 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: a > a > $o ).
thf(sk2_type,type,
sk2: a ).
thf(1,conjecture,
! [A: a > a > $o] :
( ( ! [B: a] : ( A @ B @ B )
& ! [B: a,C: a] :
( ( A @ B @ C )
=> ( A @ C @ B ) )
& ! [B: a,C: a,D: a] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) ) )
=> ! [B: a] : ( A @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM513_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > a > $o] :
( ( ! [B: a] : ( A @ B @ B )
& ! [B: a,C: a] :
( ( A @ B @ C )
=> ( A @ C @ B ) )
& ! [B: a,C: a,D: a] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) ) )
=> ! [B: a] : ( A @ B @ B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > a > $o] :
( ( ! [B: a] : ( A @ B @ B )
& ! [B: a,C: a] :
( ( A @ B @ C )
=> ( A @ C @ B ) )
& ! [B: a,C: a,D: a] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) ) )
=> ! [B: a] : ( A @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( sk1 @ sk2 @ sk2 ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
! [A: a] : ( sk1 @ A @ A ),
inference(cnf,[status(esa)],[3]) ).
thf(10,plain,
~ $true,
inference(rewrite,[status(thm)],[4,7]) ).
thf(11,plain,
$false,
inference(simp,[status(thm)],[10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV014^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13 % Command : run_Leo-III %s %d
% 0.14/0.33 % Computer : n032.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Sun May 19 19:18:39 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.79/0.77 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.02/0.87 % [INFO] Parsing done (95ms).
% 1.02/0.88 % [INFO] Running in sequential loop mode.
% 1.36/1.09 % [INFO] eprover registered as external prover.
% 1.36/1.09 % [INFO] cvc4 registered as external prover.
% 1.36/1.10 % [INFO] Scanning for conjecture ...
% 1.36/1.15 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.36/1.17 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.36/1.17 % [INFO] Problem is higher-order (TPTP THF).
% 1.36/1.17 % [INFO] Type checking passed.
% 1.59/1.17 % [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 ...
% 2.42/1.48 % [INFO] Killing All external provers ...
% 2.42/1.48 % Time passed: 1024ms (effective reasoning time: 596ms)
% 2.42/1.48 % 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)>
% 2.42/1.48 % Axioms used in derivation (0):
% 2.42/1.48 % No. of inferences in proof: 7
% 2.42/1.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1024 ms resp. 596 ms w/o parsing
% 2.42/1.50 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.42/1.50 % [INFO] Killing All external provers ...
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