TSTP Solution File: SET586^5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SET586^5 : TPTP v8.2.0. Released v4.0.0.
% 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 03:06:19 EDT 2024
% Result : Theorem 2.63s 1.74s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 6 unt; 5 typ; 0 def)
% Number of atoms : 16 ( 1 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 73 ( 13 ~; 4 |; 8 &; 36 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 0 ^ 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: a > $o ).
thf(sk2_type,type,
sk2: a > $o ).
thf(sk3_type,type,
sk3: a > $o ).
thf(sk4_type,type,
sk4: a ).
thf(1,conjecture,
! [A: a > $o,B: a > $o,C: a > $o] :
( ! [D: a] :
( ( A @ D )
=> ( B @ D ) )
=> ! [D: a] :
( ( ( A @ D )
& ( C @ D ) )
=> ( ( B @ D )
& ( C @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_40_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o,C: a > $o] :
( ! [D: a] :
( ( A @ D )
=> ( B @ D ) )
=> ! [D: a] :
( ( ( A @ D )
& ( C @ D ) )
=> ( ( B @ D )
& ( C @ D ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > $o,B: a > $o,C: a > $o] :
( ! [D: a] :
( ( A @ D )
=> ( B @ D ) )
=> ! [D: a] :
( ( ( A @ D )
& ( C @ D ) )
=> ( ( B @ D )
& ( C @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ! [A: a > $o,B: a > $o] :
( ! [C: a] :
( ( A @ C )
=> ( B @ C ) )
=> ! [C: a > $o,D: a] :
( ( ( A @ D )
& ( C @ D ) )
=> ( ( B @ D )
& ( C @ D ) ) ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(8,plain,
! [A: a] :
( ~ ( sk1 @ A )
| ( sk2 @ A ) ),
inference(cnf,[status(esa)],[4]) ).
thf(5,plain,
( ~ ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 ) ),
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
sk3 @ sk4,
inference(cnf,[status(esa)],[4]) ).
thf(9,plain,
( ~ ( sk2 @ sk4 )
| ~ $true ),
inference(rewrite,[status(thm)],[5,6]) ).
thf(10,plain,
~ ( sk2 @ sk4 ),
inference(simp,[status(thm)],[9]) ).
thf(13,plain,
! [A: a] :
( ~ ( sk1 @ A )
| ( ( sk2 @ A )
!= ( sk2 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[8,10]) ).
thf(14,plain,
~ ( sk1 @ sk4 ),
inference(pattern_uni,[status(thm)],[13:[bind(A,$thf( sk4 ))]]) ).
thf(7,plain,
sk1 @ sk4,
inference(cnf,[status(esa)],[4]) ).
thf(15,plain,
~ $true,
inference(rewrite,[status(thm)],[14,7]) ).
thf(16,plain,
$false,
inference(simp,[status(thm)],[15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SET586^5 : TPTP v8.2.0. Released v4.0.0.
% 0.15/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n028.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Mon May 20 13:34:09 EDT 2024
% 0.17/0.37 % CPUTime :
% 0.94/0.93 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.35/1.08 % [INFO] Parsing done (145ms).
% 1.35/1.08 % [INFO] Running in sequential loop mode.
% 1.63/1.32 % [INFO] nitpick registered as external prover.
% 1.63/1.32 % [INFO] Scanning for conjecture ...
% 1.89/1.37 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.89/1.40 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.89/1.40 % [INFO] Problem is higher-order (TPTP THF).
% 1.89/1.40 % [INFO] Type checking passed.
% 1.89/1.40 % [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 ...
% 2.63/1.74 % [INFO] Killing All external provers ...
% 2.63/1.74 % Time passed: 1186ms (effective reasoning time: 651ms)
% 2.63/1.74 % 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)>
% 2.63/1.74 % Axioms used in derivation (0):
% 2.63/1.74 % No. of inferences in proof: 14
% 2.63/1.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1186 ms resp. 651 ms w/o parsing
% 2.71/1.81 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.71/1.81 % [INFO] Killing All external provers ...
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