TSTP Solution File: SYO548^1 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SYO548^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n032.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 20:52:08 EDT 2024
% Result : Theorem 3.07s 1.81s
% Output : Refutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 26 ~; 3 |; 0 &; 29 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 3 con; 0-1 aty)
% Number of variables : 25 ( 0 ^ 11 !; 9 ?; 25 :)
% ( 0 !>; 0 ?*; 0 @-; 5 @+)
% Comments :
%------------------------------------------------------------------------------
thf(sk3_type,type,
sk3: $i > $o ).
thf(sk4_type,type,
sk4: $i ).
thf(1,conjecture,
? [A: ( $i > $o ) > $i] :
! [B: $i > $o] :
( ? [C: $i] :
~ ( B @ C )
=> ~ ( B @ ( A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',choicecomp) ).
thf(2,negated_conjecture,
~ ? [A: ( $i > $o ) > $i] :
! [B: $i > $o] :
( ? [C: $i] :
~ ( B @ C )
=> ~ ( B @ ( A @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ? [A: ( $i > $o ) > $i] :
! [B: $i > $o] :
( ? [C: $i] :
~ ( B @ C )
=> ~ ( B @ ( A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
~ ! [A: $i > $o] :
( ? [B: $i] :
~ ( A @ B )
=> ~ ( A
@ @+[B: $i] :
~ ( A @ B ) ) ),
inference(instance,[status(thm)],[3]) ).
thf(9,plain,
~ ! [A: $i > $o] :
( ~ ! [B: $i] : ( A @ B )
=> ~ ( A
@ @+[B: $i] :
~ ( A @ B ) ) ),
inference(miniscope,[status(thm)],[5]) ).
thf(11,plain,
~ ( sk3 @ sk4 ),
inference(cnf,[status(esa)],[9]) ).
thf(16,axiom,
? [A: ( $i > $o ) > $i] :
! [B: $i > $o] :
( ? [C: $i] : ( B @ C )
=> ( B @ ( A @ B ) ) ),
introduced(axiom_of_choice) ).
thf(21,plain,
! [A: $i] :
( ~ ~ ( sk3 @ A )
| ~ ( sk3
@ @+[B: $i] :
~ ( sk3 @ B ) ) ),
inference(choice,[status(esa)],[16]) ).
thf(23,plain,
! [A: $i] :
( ~ ( sk3
@ @+[B: $i] :
~ ( sk3 @ B ) )
| ( sk3 @ A ) ),
inference(cnf,[status(esa)],[21]) ).
thf(10,plain,
( sk3
@ @+[A: $i] :
~ ( sk3 @ A ) ),
inference(cnf,[status(esa)],[9]) ).
thf(28,plain,
! [A: $i] :
( ~ $true
| ( sk3 @ A ) ),
inference(rewrite,[status(thm)],[23,10]) ).
thf(29,plain,
! [A: $i] : ( sk3 @ A ),
inference(simp,[status(thm)],[28]) ).
thf(33,plain,
~ $true,
inference(rewrite,[status(thm)],[11,29]) ).
thf(34,plain,
$false,
inference(simp,[status(thm)],[33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO548^1 : TPTP v8.2.0. Released v5.2.0.
% 0.00/0.09 % Command : run_Leo-III %s %d THM
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sun Jun 23 09:25:25 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.87/0.80 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.09/0.92 % [INFO] Parsing done (112ms).
% 1.13/0.93 % [INFO] Running in sequential loop mode.
% 1.38/1.17 % [INFO] eprover registered as external prover.
% 1.38/1.17 % [INFO] Scanning for conjecture ...
% 1.63/1.22 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.63/1.24 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.63/1.24 % [INFO] Problem is higher-order (TPTP THF).
% 1.63/1.24 % [INFO] Type checking passed.
% 1.63/1.25 % [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 ...
% 3.01/1.80 % [INFO] Killing All external provers ...
% 3.01/1.80 % Time passed: 1354ms (effective reasoning time: 871ms)
% 3.01/1.80 % 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)>
% 3.07/1.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1354 ms resp. 871 ms w/o parsing
% 3.09/1.83 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.09/1.83 % [INFO] Killing All external provers ...
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