TSTP Solution File: SET200^5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SET200^5 : 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 03:05:41 EDT 2024
% Result : Theorem 2.82s 1.94s
% Output : Refutation 3.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 7 unt; 6 typ; 0 def)
% Number of atoms : 25 ( 2 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 86 ( 14 ~; 13 |; 3 &; 44 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 0 ^ 26 !; 0 ?; 26 :)
% 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 > $o ).
thf(sk5_type,type,
sk5: a ).
thf(1,conjecture,
! [A: a > $o,B: a > $o,C: a > $o,D: a > $o] :
( ( ! [E: a] :
( ( A @ E )
=> ( B @ E ) )
& ! [E: a] :
( ( C @ E )
=> ( D @ E ) ) )
=> ! [E: a] :
( ( ( A @ E )
| ( C @ E ) )
=> ( ( B @ E )
| ( D @ E ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_34_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o,C: a > $o,D: a > $o] :
( ( ! [E: a] :
( ( A @ E )
=> ( B @ E ) )
& ! [E: a] :
( ( C @ E )
=> ( D @ E ) ) )
=> ! [E: a] :
( ( ( A @ E )
| ( C @ E ) )
=> ( ( B @ E )
| ( D @ E ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > $o,B: a > $o,C: a > $o,D: a > $o] :
( ( ! [E: a] :
( ( A @ E )
=> ( B @ E ) )
& ! [E: a] :
( ( C @ E )
=> ( D @ E ) ) )
=> ! [E: a] :
( ( ( A @ E )
| ( C @ E ) )
=> ( ( B @ E )
| ( D @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
! [A: a] :
( ~ ( sk3 @ A )
| ( sk4 @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
! [A: a] :
( ~ ( sk3 @ A )
| ( sk4 @ A ) ),
inference(simp,[status(thm)],[7]) ).
thf(8,plain,
~ ( sk4 @ sk5 ),
inference(cnf,[status(esa)],[3]) ).
thf(14,plain,
! [A: a] :
( ~ ( sk3 @ A )
| ( ( sk4 @ A )
!= ( sk4 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[9,8]) ).
thf(15,plain,
~ ( sk3 @ sk5 ),
inference(pattern_uni,[status(thm)],[14:[bind(A,$thf( sk5 ))]]) ).
thf(4,plain,
( ( sk1 @ sk5 )
| ( sk3 @ sk5 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
! [A: a] :
( ~ ( sk1 @ A )
| ( sk2 @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
~ ( sk2 @ sk5 ),
inference(cnf,[status(esa)],[3]) ).
thf(10,plain,
! [A: a] :
( ~ ( sk1 @ A )
| ( ( sk2 @ A )
!= ( sk2 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[5,6]) ).
thf(11,plain,
~ ( sk1 @ sk5 ),
inference(pattern_uni,[status(thm)],[10:[bind(A,$thf( sk5 ))]]) ).
thf(12,plain,
( $false
| ( sk3 @ sk5 ) ),
inference(rewrite,[status(thm)],[4,11]) ).
thf(13,plain,
sk3 @ sk5,
inference(simp,[status(thm)],[12]) ).
thf(18,plain,
~ $true,
inference(rewrite,[status(thm)],[15,13]) ).
thf(19,plain,
$false,
inference(simp,[status(thm)],[18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET200^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 12:14:39 EDT 2024
% 0.15/0.36 % CPUTime :
% 1.01/0.95 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/1.07 % [INFO] Parsing done (118ms).
% 1.21/1.08 % [INFO] Running in sequential loop mode.
% 1.67/1.37 % [INFO] nitpick registered as external prover.
% 1.79/1.38 % [INFO] Scanning for conjecture ...
% 1.97/1.46 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.00/1.50 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.00/1.50 % [INFO] Problem is higher-order (TPTP THF).
% 2.00/1.51 % [INFO] Type checking passed.
% 2.00/1.51 % [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 ...
% 2.66/1.90 % [INFO] Killing All external provers ...
% 2.82/1.90 % Time passed: 1365ms (effective reasoning time: 815ms)
% 2.82/1.90 % 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)>
% 2.82/1.90 % Axioms used in derivation (0):
% 2.82/1.90 % No. of inferences in proof: 17
% 2.82/1.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1365 ms resp. 815 ms w/o parsing
% 3.02/1.99 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.02/1.99 % [INFO] Killing All external provers ...
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