TSTP Solution File: SEU997^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEU997^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n008.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 03:40:37 EDT 2024
% Result : Theorem 3.54s 2.12s
% Output : Refutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 1 unt; 1 typ; 0 def)
% Number of atoms : 64 ( 63 equ; 0 cnn)
% Maximal formula atoms : 21 ( 16 avg)
% Number of connectives : 290 ( 2 ~; 0 |; 54 &; 228 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 18 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 105 ( 0 ^ 102 !; 3 ?; 105 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(1,conjecture,
! [A: a > a > a,B: a > a > a,C: a,D: a] :
( ( ! [E: a] :
( ( A @ E @ E )
= E )
& ! [E: a] :
( ( B @ E @ E )
= E )
& ! [E: a,F: a,G: a] :
( ( A @ ( A @ E @ F ) @ G )
= ( A @ E @ ( A @ F @ G ) ) )
& ! [E: a,F: a,G: a] :
( ( B @ ( B @ E @ F ) @ G )
= ( B @ E @ ( B @ F @ G ) ) )
& ! [E: a,F: a] :
( ( A @ E @ F )
= ( A @ F @ E ) )
& ! [E: a,F: a] :
( ( B @ E @ F )
= ( B @ F @ E ) )
& ! [E: a,F: a] :
( ( A @ ( B @ E @ F ) @ F )
= F )
& ! [E: a,F: a] :
( ( B @ ( A @ E @ F ) @ F )
= F )
& ! [E: a,F: a,G: a] :
( ( B @ E @ ( A @ F @ G ) )
= ( A @ ( B @ E @ F ) @ ( B @ E @ G ) ) )
& ! [E: a,F: a,G: a] :
( ( A @ E @ ( B @ F @ G ) )
= ( B @ ( A @ E @ F ) @ ( A @ E @ G ) ) )
& ! [E: a] :
( ( B @ C @ E )
= E )
& ! [E: a] :
( ( A @ C @ E )
= C )
& ! [E: a] :
( ( B @ D @ E )
= D )
& ! [E: a] :
( ( A @ D @ E )
= E )
& ! [E: a] :
? [F: a] :
( ( ( A @ E @ F )
= C )
& ( ( B @ E @ F )
= D ) ) )
=> ! [E: a,F: a,G: a] :
( ( ( ( A @ E @ F )
= C )
& ( ( B @ E @ F )
= D )
& ( ( A @ E @ G )
= C )
& ( ( B @ E @ G )
= D ) )
=> ( F = G ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCD_LATTICE_THM_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > a > a,B: a > a > a,C: a,D: a] :
( ( ! [E: a] :
( ( A @ E @ E )
= E )
& ! [E: a] :
( ( B @ E @ E )
= E )
& ! [E: a,F: a,G: a] :
( ( A @ ( A @ E @ F ) @ G )
= ( A @ E @ ( A @ F @ G ) ) )
& ! [E: a,F: a,G: a] :
( ( B @ ( B @ E @ F ) @ G )
= ( B @ E @ ( B @ F @ G ) ) )
& ! [E: a,F: a] :
( ( A @ E @ F )
= ( A @ F @ E ) )
& ! [E: a,F: a] :
( ( B @ E @ F )
= ( B @ F @ E ) )
& ! [E: a,F: a] :
( ( A @ ( B @ E @ F ) @ F )
= F )
& ! [E: a,F: a] :
( ( B @ ( A @ E @ F ) @ F )
= F )
& ! [E: a,F: a,G: a] :
( ( B @ E @ ( A @ F @ G ) )
= ( A @ ( B @ E @ F ) @ ( B @ E @ G ) ) )
& ! [E: a,F: a,G: a] :
( ( A @ E @ ( B @ F @ G ) )
= ( B @ ( A @ E @ F ) @ ( A @ E @ G ) ) )
& ! [E: a] :
( ( B @ C @ E )
= E )
& ! [E: a] :
( ( A @ C @ E )
= C )
& ! [E: a] :
( ( B @ D @ E )
= D )
& ! [E: a] :
( ( A @ D @ E )
= E )
& ! [E: a] :
? [F: a] :
( ( ( A @ E @ F )
= C )
& ( ( B @ E @ F )
= D ) ) )
=> ! [E: a,F: a,G: a] :
( ( ( ( A @ E @ F )
= C )
& ( ( B @ E @ F )
= D )
& ( ( A @ E @ G )
= C )
& ( ( B @ E @ G )
= D ) )
=> ( F = G ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > a > a,B: a > a > a,C: a,D: a] :
( ( ! [E: a] :
( ( A @ E @ E )
= E )
& ! [E: a] :
( ( B @ E @ E )
= E )
& ! [E: a,F: a,G: a] :
( ( A @ ( A @ E @ F ) @ G )
= ( A @ E @ ( A @ F @ G ) ) )
& ! [E: a,F: a,G: a] :
( ( B @ ( B @ E @ F ) @ G )
= ( B @ E @ ( B @ F @ G ) ) )
& ! [E: a,F: a] :
( ( A @ E @ F )
= ( A @ F @ E ) )
& ! [E: a,F: a] :
( ( B @ E @ F )
= ( B @ F @ E ) )
& ! [E: a,F: a] :
( ( A @ ( B @ E @ F ) @ F )
= F )
& ! [E: a,F: a] :
( ( B @ ( A @ E @ F ) @ F )
= F )
& ! [E: a,F: a,G: a] :
( ( B @ E @ ( A @ F @ G ) )
= ( A @ ( B @ E @ F ) @ ( B @ E @ G ) ) )
& ! [E: a,F: a,G: a] :
( ( A @ E @ ( B @ F @ G ) )
= ( B @ ( A @ E @ F ) @ ( A @ E @ G ) ) )
& ! [E: a] :
( ( B @ C @ E )
= E )
& ! [E: a] :
( ( A @ C @ E )
= C )
& ! [E: a] :
( ( B @ D @ E )
= D )
& ! [E: a] :
( ( A @ D @ E )
= E )
& ! [E: a] :
? [F: a] :
( ( ( A @ E @ F )
= C )
& ( ( B @ E @ F )
= D ) ) )
=> ! [E: a,F: a,G: a] :
( ( ( ( A @ E @ F )
= C )
& ( ( B @ E @ F )
= D )
& ( ( A @ E @ G )
= C )
& ( ( B @ E @ G )
= D ) )
=> ( F = G ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(61,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU997^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n008.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun May 19 18:12:54 EDT 2024
% 0.16/0.37 % CPUTime :
% 1.04/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.31/1.03 % [INFO] Parsing done (122ms).
% 1.31/1.04 % [INFO] Running in sequential loop mode.
% 1.75/1.29 % [INFO] eprover registered as external prover.
% 1.75/1.29 % [INFO] cvc4 registered as external prover.
% 1.75/1.29 % [INFO] Scanning for conjecture ...
% 2.09/1.38 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.18/1.43 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.18/1.43 % [INFO] Problem is higher-order (TPTP THF).
% 2.18/1.44 % [INFO] Type checking passed.
% 2.18/1.45 % [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 ...
% 3.54/2.12 % External prover 'e' found a proof!
% 3.54/2.12 % [INFO] Killing All external provers ...
% 3.54/2.12 % Time passed: 1566ms (effective reasoning time: 1072ms)
% 3.54/2.12 % 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)>
% 3.54/2.12 % Axioms used in derivation (0):
% 3.54/2.12 % No. of inferences in proof: 4
% 3.54/2.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1566 ms resp. 1072 ms w/o parsing
% 3.94/2.17 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.94/2.17 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------