TSTP Solution File: SET630^3 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SET630^3 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n028.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 03:06:35 EDT 2024
% Result : Theorem 2.82s 1.91s
% Output : Refutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 18 ( 6 unt; 6 typ; 3 def)
% Number of atoms : 19 ( 3 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 69 ( 16 ~; 5 |; 12 &; 36 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 19 ( 8 ^ 6 !; 5 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(excl_union_type,type,
excl_union: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(excl_union_def,definition,
( excl_union
= ( ^ [A: $i > $o,B: $i > $o,C: $i] :
( ( ( A @ C )
& ~ ( B @ C ) )
| ( ~ ( A @ C )
& ( B @ C ) ) ) ) ) ).
thf(intersection_type,type,
intersection: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(intersection_def,definition,
( intersection
= ( ^ [A: $i > $o,B: $i > $o,C: $i] :
( ( A @ C )
& ( B @ C ) ) ) ) ).
thf(misses_type,type,
misses: ( $i > $o ) > ( $i > $o ) > $o ).
thf(misses_def,definition,
( misses
= ( ^ [A: $i > $o,B: $i > $o] :
~ ? [C: $i] :
( ( A @ C )
& ( B @ C ) ) ) ) ).
thf(sk1_type,type,
sk1: $i > $o ).
thf(sk2_type,type,
sk2: $i > $o ).
thf(sk3_type,type,
sk3: $i ).
thf(1,conjecture,
! [A: $i > $o,B: $i > $o] : ( misses @ ( intersection @ A @ B ) @ ( excl_union @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
thf(2,negated_conjecture,
~ ! [A: $i > $o,B: $i > $o] : ( misses @ ( intersection @ A @ B ) @ ( excl_union @ A @ B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i > $o,B: $i > $o] :
~ ? [C: $i] :
( ( A @ C )
& ( B @ C )
& ( ( ( A @ C )
& ~ ( B @ C ) )
| ( ~ ( A @ C )
& ( B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ~ ? [A: $i > $o,B: $i > $o,C: $i] :
( ( A @ C )
& ( B @ C )
& ( ( ( A @ C )
& ~ ( B @ C ) )
| ( ~ ( A @ C )
& ( B @ C ) ) ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(5,plain,
( ~ ( sk2 @ sk3 )
| ~ ( sk1 @ sk3 ) ),
inference(cnf,[status(esa)],[4]) ).
thf(8,plain,
sk1 @ sk3,
inference(cnf,[status(esa)],[4]) ).
thf(10,plain,
sk2 @ sk3,
inference(cnf,[status(esa)],[4]) ).
thf(11,plain,
( ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[5,8,10]) ).
thf(12,plain,
$false,
inference(simp,[status(thm)],[11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SET630^3 : TPTP v8.2.0. Released v3.6.0.
% 0.02/0.11 % Command : run_Leo-III %s %d
% 0.11/0.31 % Computer : n028.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 : Mon May 20 11:06:54 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.94/0.91 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.34/1.11 % [INFO] Parsing done (194ms).
% 1.34/1.12 % [INFO] Running in sequential loop mode.
% 1.97/1.47 % [INFO] nitpick registered as external prover.
% 1.99/1.48 % [INFO] Scanning for conjecture ...
% 2.11/1.59 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.11/1.61 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.11/1.61 % [INFO] Problem is higher-order (TPTP THF).
% 2.11/1.62 % [INFO] Type checking passed.
% 2.32/1.62 % [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 ...
% 2.82/1.91 % [INFO] Killing All external provers ...
% 2.82/1.91 % Time passed: 1452ms (effective reasoning time: 783ms)
% 2.82/1.91 % 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)>
% 2.82/1.91 % Axioms used in derivation (0):
% 2.82/1.91 % No. of inferences in proof: 9
% 2.82/1.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1452 ms resp. 783 ms w/o parsing
% 2.82/1.95 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.82/1.95 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------