TSTP Solution File: LCL738^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : LCL738^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n007.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 00:07:23 EDT 2024
% Result : Theorem 3.76s 1.97s
% Output : Refutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 4 unt; 3 typ; 0 def)
% Number of atoms : 11 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 0 avg)
% Number of connectives : 132 ( 8 ~; 12 |; 0 &; 96 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 83 ( 83 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 2 con; 0-1 aty)
% Number of variables : 65 ( 0 ^ 31 !; 30 ?; 65 :)
% ( 0 !>; 0 ?*; 0 @-; 4 @+)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(sk8_type,type,
sk8: b > $o ).
thf(sk9_type,type,
sk9: b ).
thf(1,conjecture,
( ? [A: ( b > $o ) > b > b > $o,B: ( b > $o ) > b > b > $o] :
( ! [C: b > $o] :
? [D: b] :
! [E: b] :
( ( B @ C @ D @ E )
| ( A @ C @ D @ E ) )
=> ? [C: ( b > $o ) > b] :
! [D: b > $o,E: b] :
( ( B @ D @ ( C @ D ) @ E )
| ( A @ D @ ( C @ D ) @ E ) ) )
=> ? [A: ( b > $o ) > b] :
! [B: b > $o] :
( ? [C: b] : ( B @ C )
=> ( B @ ( A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX5310_SUB) ).
thf(2,negated_conjecture,
~ ( ? [A: ( b > $o ) > b > b > $o,B: ( b > $o ) > b > b > $o] :
( ! [C: b > $o] :
? [D: b] :
! [E: b] :
( ( B @ C @ D @ E )
| ( A @ C @ D @ E ) )
=> ? [C: ( b > $o ) > b] :
! [D: b > $o,E: b] :
( ( B @ D @ ( C @ D ) @ E )
| ( A @ D @ ( C @ D ) @ E ) ) )
=> ? [A: ( b > $o ) > b] :
! [B: b > $o] :
( ? [C: b] : ( B @ C )
=> ( B @ ( A @ B ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ? [A: ( b > $o ) > b > b > $o,B: ( b > $o ) > b > b > $o] :
( ! [C: b > $o] :
? [D: b] :
! [E: b] :
( ( B @ C @ D @ E )
| ( A @ C @ D @ E ) )
=> ? [C: ( b > $o ) > b] :
! [D: b > $o,E: b] :
( ( B @ D @ ( C @ D ) @ E )
| ( A @ D @ ( C @ D ) @ E ) ) )
=> ? [A: ( b > $o ) > b] :
! [B: b > $o] :
( ? [C: b] : ( B @ C )
=> ( B @ ( A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ? [A: ( b > $o ) > b > b > $o,B: ( b > $o ) > b > b > $o] :
( ! [C: b > $o] :
? [D: b] :
! [E: b] :
( ( B @ C @ D @ E )
| ( A @ C @ D @ E ) )
=> ? [C: ( b > $o ) > b] :
! [D: b > $o,E: b] :
( ( B @ D @ ( C @ D ) @ E )
| ( A @ D @ ( C @ D ) @ E ) ) )
=> ! [A: b > $o] :
( ? [B: b] : ( A @ B )
=> ( A
@ @+[B: b] : ( A @ B ) ) ) ),
inference(instance,[status(thm)],[3]) ).
thf(6,plain,
~ ( ( ! [A: ( b > $o ) > b > b > $o,B: ( b > $o ) > b > b > $o,C: b > $o] :
? [D: b] :
! [E: b] :
( ( B @ C @ D @ E )
| ( A @ C @ D @ E ) )
=> ? [A: ( b > $o ) > b > b > $o,B: ( b > $o ) > b > b > $o,C: ( b > $o ) > b] :
! [D: b > $o,E: b] :
( ( B @ D @ ( C @ D ) @ E )
| ( A @ D @ ( C @ D ) @ E ) ) )
=> ! [A: b > $o] :
( ? [B: b] : ( A @ B )
=> ( A
@ @+[B: b] : ( A @ B ) ) ) ),
inference(miniscope,[status(thm)],[4]) ).
thf(8,plain,
sk8 @ sk9,
inference(cnf,[status(esa)],[6]) ).
thf(24,axiom,
? [A: ( b > $o ) > b] :
! [B: b > $o] :
( ? [C: b] : ( B @ C )
=> ( B @ ( A @ B ) ) ),
introduced(axiom_of_choice) ).
thf(25,plain,
! [A: b] :
( ~ ( sk8 @ A )
| ( sk8
@ @+[B: b] : ( sk8 @ B ) ) ),
inference(choice,[status(esa)],[24]) ).
thf(7,plain,
~ ( sk8
@ @+[A: b] : ( sk8 @ A ) ),
inference(cnf,[status(esa)],[6]) ).
thf(35,plain,
! [A: b] :
( ~ ( sk8 @ A )
| $false ),
inference(rewrite,[status(thm)],[25,7]) ).
thf(36,plain,
! [A: b] :
~ ( sk8 @ A ),
inference(simp,[status(thm)],[35]) ).
thf(39,plain,
$false,
inference(rewrite,[status(thm)],[8,36]) ).
thf(40,plain,
$false,
inference(simp,[status(thm)],[39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL738^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 01:23:39 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.95/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/1.03 % [INFO] Parsing done (110ms).
% 1.20/1.04 % [INFO] Running in sequential loop mode.
% 1.72/1.24 % [INFO] eprover registered as external prover.
% 1.72/1.24 % [INFO] cvc4 registered as external prover.
% 1.72/1.25 % [INFO] Scanning for conjecture ...
% 1.80/1.30 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.80/1.33 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.80/1.33 % [INFO] Problem is higher-order (TPTP THF).
% 1.80/1.33 % [INFO] Type checking passed.
% 2.00/1.33 % [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 ...
% 3.76/1.97 % [INFO] Killing All external provers ...
% 3.76/1.97 % Time passed: 1430ms (effective reasoning time: 933ms)
% 3.76/1.97 % 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)>
% 3.76/1.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1430 ms resp. 933 ms w/o parsing
% 4.00/2.01 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.00/2.01 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------