TSTP Solution File: SEV126^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEV126^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.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 04:10:00 EDT 2024
% Result : Theorem 3.46s 2.18s
% Output : Refutation 3.46s
% 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 : 1 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 0 avg)
% Number of connectives : 131 ( 2 ~; 6 |; 12 &; 84 @)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 17 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 45 ( 45 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 0 usr; 1 con; 0-0 aty)
% Number of variables : 51 ( 0 ^ 51 !; 0 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(1,conjecture,
! [A: ( a > a > $o ) > $o,B: a > a > $o,C: a > a > $o,D: a,E: a] :
( ! [F: a > a > $o] :
( ( ! [G: a,H: a] :
( ( ( B @ G @ H )
| ( C @ G @ H ) )
=> ( F @ G @ H ) )
& ( A @ F ) )
=> ( F @ D @ E ) )
=> ! [F: a > a > $o] :
( ( ! [G: a,H: a] :
( ( ! [I: a > a > $o] :
( ( ! [J: a,K: a] :
( ( B @ J @ K )
=> ( I @ J @ K ) )
& ( A @ I ) )
=> ( I @ G @ H ) )
| ! [I: a > a > $o] :
( ( ! [J: a,K: a] :
( ( C @ J @ K )
=> ( I @ J @ K ) )
& ( A @ I ) )
=> ( I @ G @ H ) ) )
=> ( F @ G @ H ) )
& ( A @ F ) )
=> ( F @ D @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM252B_pme) ).
thf(2,negated_conjecture,
~ ! [A: ( a > a > $o ) > $o,B: a > a > $o,C: a > a > $o,D: a,E: a] :
( ! [F: a > a > $o] :
( ( ! [G: a,H: a] :
( ( ( B @ G @ H )
| ( C @ G @ H ) )
=> ( F @ G @ H ) )
& ( A @ F ) )
=> ( F @ D @ E ) )
=> ! [F: a > a > $o] :
( ( ! [G: a,H: a] :
( ( ! [I: a > a > $o] :
( ( ! [J: a,K: a] :
( ( B @ J @ K )
=> ( I @ J @ K ) )
& ( A @ I ) )
=> ( I @ G @ H ) )
| ! [I: a > a > $o] :
( ( ! [J: a,K: a] :
( ( C @ J @ K )
=> ( I @ J @ K ) )
& ( A @ I ) )
=> ( I @ G @ H ) ) )
=> ( F @ G @ H ) )
& ( A @ F ) )
=> ( F @ D @ E ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: ( a > a > $o ) > $o,B: a > a > $o,C: a > a > $o,D: a,E: a] :
( ! [F: a > a > $o] :
( ( ! [G: a,H: a] :
( ( ( B @ G @ H )
| ( C @ G @ H ) )
=> ( F @ G @ H ) )
& ( A @ F ) )
=> ( F @ D @ E ) )
=> ! [F: a > a > $o] :
( ( ! [G: a,H: a] :
( ( ! [I: a > a > $o] :
( ( ! [J: a,K: a] :
( ( B @ J @ K )
=> ( I @ J @ K ) )
& ( A @ I ) )
=> ( I @ G @ H ) )
| ! [I: a > a > $o] :
( ( ! [J: a,K: a] :
( ( C @ J @ K )
=> ( I @ J @ K ) )
& ( A @ I ) )
=> ( I @ G @ H ) ) )
=> ( F @ G @ H ) )
& ( A @ F ) )
=> ( F @ D @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(20,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SEV126^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.11 % Command : run_Leo-III %s %d
% 0.11/0.31 % Computer : n003.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sun May 19 18:31:54 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.90/0.92 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.30/1.09 % [INFO] Parsing done (163ms).
% 1.30/1.10 % [INFO] Running in sequential loop mode.
% 1.83/1.44 % [INFO] eprover registered as external prover.
% 1.83/1.45 % [INFO] cvc4 registered as external prover.
% 1.83/1.45 % [INFO] Scanning for conjecture ...
% 2.08/1.55 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.08/1.59 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.08/1.60 % [INFO] Problem is higher-order (TPTP THF).
% 2.08/1.60 % [INFO] Type checking passed.
% 2.08/1.60 % [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 ...
% 3.46/2.18 % External prover 'e' found a proof!
% 3.46/2.18 % [INFO] Killing All external provers ...
% 3.46/2.18 % Time passed: 1723ms (effective reasoning time: 1076ms)
% 3.46/2.18 % 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)>
% 3.46/2.18 % Axioms used in derivation (0):
% 3.46/2.18 % No. of inferences in proof: 4
% 3.46/2.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1723 ms resp. 1076 ms w/o parsing
% 3.46/2.22 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.46/2.22 % [INFO] Killing All external provers ...
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