TSTP Solution File: LCL580^1 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : LCL580^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n019.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 11:14:42 EDT 2024
% Result : Theorem 2.27s 1.39s
% Output : Refutation 2.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 typ; 3 def)
% Number of atoms : 18 ( 3 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 13 ( 2 ~; 0 |; 0 &; 10 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 5 ( 4 ^ 1 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtrue_type,type,
mtrue: $i > $o ).
thf(mtrue_def,definition,
( mtrue
= ( ^ [A: $i] : $true ) ) ).
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,
mvalid @ ( mbox @ r @ mtrue ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(2,negated_conjecture,
~ ( mvalid @ ( mbox @ r @ mtrue ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
$false,
inference(simp,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL580^1 : TPTP v8.2.0. Released v3.6.0.
% 0.12/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jun 22 17:15:40 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.96/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.15/1.00 % [INFO] Parsing done (118ms).
% 1.37/1.01 % [INFO] Running in sequential loop mode.
% 1.73/1.21 % [INFO] eprover registered as external prover.
% 1.83/1.22 % [INFO] Scanning for conjecture ...
% 1.90/1.29 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.90/1.30 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.90/1.30 % [INFO] Problem is higher-order (TPTP THF).
% 1.90/1.30 % [INFO] Type checking passed.
% 1.90/1.31 % [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 ...
% 2.27/1.38 % [INFO] Killing All external provers ...
% 2.27/1.38 % Time passed: 842ms (effective reasoning time: 372ms)
% 2.27/1.38 % 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)>
% 2.27/1.39 % Axioms used in derivation (0):
% 2.27/1.39 % No. of inferences in proof: 4
% 2.27/1.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 842 ms resp. 372 ms w/o parsing
% 2.27/1.41 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.27/1.41 % [INFO] Killing All external provers ...
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