TSTP Solution File: LCL623^1 by Leo-III---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : LCL623^1 : TPTP v8.2.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 00:06:35 EDT 2024
% Result : Theorem 3.13s 1.68s
% Output : Refutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 14 ( 4 unt; 5 typ; 3 def)
% Number of atoms : 43 ( 3 equ; 0 cnn)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 74 ( 6 ~; 4 |; 0 &; 57 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 18 ( 4 ^ 14 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(mimpl_type,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mimpl_def,definition,
( mimpl
= ( ^ [A: $i > $o] : ( mor @ ( mnot @ A ) ) ) ) ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mbox_def,definition,
( mbox
= ( ^ [A: $i > $i > $o,B: $i > $o,C: $i] :
! [D: $i] :
( ( A @ C @ D )
=> ( B @ D ) ) ) ) ).
thf(individuals_type,type,
individuals: $tType ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mvalid_def,definition,
( mvalid
= ( '!' @ $i ) ) ).
thf(r_type,type,
r: $i > $i > $o ).
thf(1,conjecture,
! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ r @ ( mimpl @ ( mbox @ r @ A ) @ A ) ) @ ( mbox @ r @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',loeb) ).
thf(2,negated_conjecture,
~ ! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ r @ ( mimpl @ ( mbox @ r @ A ) @ A ) ) @ ( mbox @ r @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ! [A: $i > $o,B: $i] :
( ~ ! [C: $i] :
( ( r @ B @ C )
=> ( ~ ! [D: $i] :
( ( r @ C @ D )
=> ( A @ D ) )
| ( A @ C ) ) )
| ! [C: $i] :
( ( r @ B @ C )
=> ( A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ r @ ( mimpl @ ( mbox @ r @ A ) @ A ) ) @ ( mbox @ r @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gl) ).
thf(9,plain,
! [A: $i > $o,B: $i] :
( ~ ! [C: $i] :
( ( r @ B @ C )
=> ( ~ ! [D: $i] :
( ( r @ C @ D )
=> ( A @ D ) )
| ( A @ C ) ) )
| ! [C: $i] :
( ( r @ B @ C )
=> ( A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(17,plain,
$false,
inference(e,[status(thm)],[4,9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL623^1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n018.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 : Mon May 20 02:52:39 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.97/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.13/1.00 % [INFO] Parsing done (119ms).
% 1.13/1.01 % [INFO] Running in sequential loop mode.
% 1.80/1.21 % [INFO] eprover registered as external prover.
% 1.80/1.21 % [INFO] cvc4 registered as external prover.
% 1.80/1.21 % [INFO] Scanning for conjecture ...
% 1.89/1.28 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 1.89/1.30 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.89/1.30 % [INFO] Problem is higher-order (TPTP THF).
% 1.89/1.30 % [INFO] Type checking passed.
% 1.89/1.31 % [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 ...
% 3.13/1.67 % External prover 'e' found a proof!
% 3.13/1.68 % [INFO] Killing All external provers ...
% 3.13/1.68 % Time passed: 1134ms (effective reasoning time: 665ms)
% 3.13/1.68 % 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)>
% 3.13/1.68 % Axioms used in derivation (1): gl
% 3.13/1.68 % No. of inferences in proof: 6
% 3.13/1.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1134 ms resp. 665 ms w/o parsing
% 3.25/1.70 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.25/1.70 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------