TSTP Solution File: SET183^5 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : SET183^5 : TPTP v8.1.2. 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 7 10:49:23 EDT 2024
% Result : Theorem 2.66s 1.68s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 11 unt; 4 typ; 0 def)
% Number of atoms : 33 ( 7 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 60 ( 9 ~; 4 |; 8 &; 33 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 5 ^ 11 !; 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 ) )
=> ( ( ^ [C: a] :
( ( A @ C )
& ( B @ C ) ) )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_42_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o] :
( ! [C: a] :
( ( A @ C )
=> ( B @ C ) )
=> ( ( ^ [C: a] :
( ( A @ C )
& ( B @ C ) ) )
= A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > $o,B: a > $o] :
( ! [C: a] :
( ( A @ C )
=> ( B @ C ) )
=> ( ( ^ [C: a] :
( ( A @ C )
& ( B @ C ) ) )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( ^ [A: a] :
( ( sk1 @ A )
& ( sk2 @ A ) ) )
!= sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
( ( ^ [A: a] :
( ( sk1 @ A )
& ( sk2 @ A ) ) )
!= sk1 ),
inference(lifteq,[status(thm)],[4]) ).
thf(7,plain,
( ( ( sk1 @ sk3 )
& ( sk2 @ sk3 ) )
!= ( sk1 @ sk3 ) ),
inference(func_ext,[status(esa)],[6]) ).
thf(9,plain,
( ( ( sk1 @ sk3 )
& ( sk2 @ sk3 ) )
| ( sk1 @ sk3 ) ),
inference(bool_ext,[status(thm)],[7]) ).
thf(13,plain,
( ( sk1 @ sk3 )
| ( sk1 @ sk3 ) ),
inference(cnf,[status(esa)],[9]) ).
thf(14,plain,
sk1 @ sk3,
inference(simp,[status(thm)],[13]) ).
thf(5,plain,
! [A: a] :
( ~ ( sk1 @ A )
| ( sk2 @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(21,plain,
! [A: a] :
( ( sk2 @ A )
| ( ( sk1 @ sk3 )
!= ( sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[14,5]) ).
thf(22,plain,
sk2 @ sk3,
inference(pattern_uni,[status(thm)],[21:[bind(A,$thf( sk3 ))]]) ).
thf(15,plain,
~ ( $true
& ( sk2 @ sk3 ) ),
inference(rewrite,[status(thm)],[7,14]) ).
thf(16,plain,
~ ( sk2 @ sk3 ),
inference(simp,[status(thm)],[15]) ).
thf(23,plain,
$false,
inference(rewrite,[status(thm)],[22,16]) ).
thf(24,plain,
$false,
inference(simp,[status(thm)],[23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET183^5 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.16 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n014.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.38 % DateTime : Mon May 6 20:53:09 EDT 2024
% 0.15/0.38 % CPUTime :
% 1.06/0.95 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.32/1.07 % [INFO] Parsing done (118ms).
% 1.32/1.07 % [INFO] Running in sequential loop mode.
% 1.70/1.29 % [INFO] nitpick registered as external prover.
% 1.70/1.30 % [INFO] Scanning for conjecture ...
% 1.88/1.34 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.00/1.36 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.00/1.37 % [INFO] Problem is higher-order (TPTP THF).
% 2.00/1.37 % [INFO] Type checking passed.
% 2.00/1.37 % [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 ...
% 2.66/1.67 % [INFO] Killing All external provers ...
% 2.66/1.67 % Time passed: 1114ms (effective reasoning time: 594ms)
% 2.66/1.67 % 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)>
% 2.66/1.67 % Axioms used in derivation (0):
% 2.66/1.67 % No. of inferences in proof: 16
% 2.66/1.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1114 ms resp. 594 ms w/o parsing
% 2.69/1.75 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.69/1.75 % [INFO] Killing All external provers ...
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