TSTP Solution File: SET610^5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SET610^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 03:06:28 EDT 2024
% Result : Theorem 2.88s 2.01s
% Output : Refutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 4 typ; 0 def)
% Number of atoms : 36 ( 7 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 91 ( 25 ~; 10 |; 16 &; 40 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 10 ^ 6 !; 0 ?; 16 :)
% 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 ).
thf(1,conjecture,
! [A: a > $o,B: a > $o] :
( ( ^ [C: a] :
( ( ( A @ C )
| ( B @ C ) )
& ~ ( B @ C ) ) )
= ( ^ [C: a] :
( ( A @ C )
& ~ ( B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_83_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o] :
( ( ^ [C: a] :
( ( ( A @ C )
| ( B @ C ) )
& ~ ( B @ C ) ) )
= ( ^ [C: a] :
( ( A @ C )
& ~ ( B @ C ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > $o,B: a > $o] :
( ( ^ [C: a] :
( ( ( A @ C )
| ( B @ C ) )
& ~ ( B @ C ) ) )
= ( ^ [C: a] :
( ( A @ C )
& ~ ( B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( ^ [A: a] :
( ( ( sk1 @ A )
| ( sk2 @ A ) )
& ~ ( sk2 @ A ) ) )
!= ( ^ [A: a] :
( ( sk1 @ A )
& ~ ( sk2 @ A ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
( ( ^ [A: a] :
( ( ( sk1 @ A )
| ( sk2 @ A ) )
& ~ ( sk2 @ A ) ) )
!= ( ^ [A: a] :
( ( sk1 @ A )
& ~ ( sk2 @ A ) ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(7,plain,
( ( ( ( sk1 @ sk3 )
| ( sk2 @ sk3 ) )
& ~ ( sk2 @ sk3 ) )
!= ( ( sk1 @ sk3 )
& ~ ( sk2 @ sk3 ) ) ),
inference(func_ext,[status(esa)],[5]) ).
thf(22,plain,
( ( ( ( sk1 @ sk3 )
| ( sk2 @ sk3 ) )
& ~ ( sk2 @ sk3 ) )
| ( ( sk1 @ sk3 )
& ~ ( sk2 @ sk3 ) ) ),
inference(bool_ext,[status(thm)],[7]) ).
thf(29,plain,
( ~ ( sk2 @ sk3 )
| ~ ( sk2 @ sk3 ) ),
inference(cnf,[status(esa)],[22]) ).
thf(32,plain,
~ ( sk2 @ sk3 ),
inference(simp,[status(thm)],[29]) ).
thf(40,plain,
( ( ( ( sk1 @ sk3 )
| $false )
& ~ $false )
!= ( ( sk1 @ sk3 )
& ~ $false ) ),
inference(rewrite,[status(thm)],[7,32]) ).
thf(41,plain,
$false,
inference(simp,[status(thm)],[40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET610^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.11 % Command : run_Leo-III %s %d
% 0.10/0.31 % Computer : n014.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon May 20 11:59:54 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.96/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.14/1.07 % [INFO] Parsing done (153ms).
% 1.31/1.08 % [INFO] Running in sequential loop mode.
% 1.70/1.43 % [INFO] nitpick registered as external prover.
% 1.70/1.44 % [INFO] Scanning for conjecture ...
% 1.96/1.51 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.99/1.55 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.99/1.55 % [INFO] Problem is higher-order (TPTP THF).
% 1.99/1.55 % [INFO] Type checking passed.
% 1.99/1.55 % [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 ...
% 2.88/2.00 % [INFO] Killing All external provers ...
% 2.88/2.00 % Time passed: 1545ms (effective reasoning time: 914ms)
% 2.88/2.00 % 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)>
% 2.88/2.01 % Axioms used in derivation (0):
% 2.88/2.01 % No. of inferences in proof: 11
% 2.88/2.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1545 ms resp. 914 ms w/o parsing
% 2.88/2.04 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.88/2.04 % [INFO] Killing All external provers ...
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