TSTP Solution File: SET169^5 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : SET169^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n020.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 08:06:54 EDT 2024
% Result : Theorem 2.83s 1.64s
% Output : Refutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 9 unt; 5 typ; 0 def)
% Number of atoms : 47 ( 7 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 106 ( 6 ~; 19 |; 24 &; 57 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 10 ^ 9 !; 0 ?; 19 :)
% 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 )
| ( C @ D ) ) ) )
= ( ^ [D: a] :
( ( ( A @ D )
& ( B @ D ) )
| ( ( A @ D )
& ( C @ D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_70_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o,C: a > $o] :
( ( ^ [D: a] :
( ( A @ D )
& ( ( B @ D )
| ( C @ D ) ) ) )
= ( ^ [D: a] :
( ( ( A @ D )
& ( B @ D ) )
| ( ( A @ 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 )
| ( C @ D ) ) ) )
= ( ^ [D: a] :
( ( ( A @ D )
& ( B @ D ) )
| ( ( A @ D )
& ( C @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( ^ [A: a] :
( ( sk1 @ A )
& ( ( sk2 @ A )
| ( sk3 @ A ) ) ) )
!= ( ^ [A: a] :
( ( ( sk1 @ A )
& ( sk2 @ A ) )
| ( ( sk1 @ A )
& ( sk3 @ A ) ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
( ( ^ [A: a] :
( ( sk1 @ A )
& ( ( sk2 @ A )
| ( sk3 @ A ) ) ) )
!= ( ^ [A: a] :
( ( ( sk1 @ A )
& ( sk2 @ A ) )
| ( ( sk1 @ A )
& ( sk3 @ A ) ) ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(6,plain,
( ( ( sk1 @ sk4 )
& ( ( sk2 @ sk4 )
| ( sk3 @ sk4 ) ) )
!= ( ( ( sk1 @ sk4 )
& ( sk2 @ sk4 ) )
| ( ( sk1 @ sk4 )
& ( sk3 @ sk4 ) ) ) ),
inference(func_ext,[status(esa)],[5]) ).
thf(8,plain,
( ( ( sk1 @ sk4 )
& ( ( sk2 @ sk4 )
| ( sk3 @ sk4 ) ) )
| ( ( sk1 @ sk4 )
& ( sk2 @ sk4 ) )
| ( ( sk1 @ sk4 )
& ( sk3 @ sk4 ) ) ),
inference(bool_ext,[status(thm)],[6]) ).
thf(19,plain,
( ( sk1 @ sk4 )
| ( sk1 @ sk4 )
| ( sk1 @ sk4 ) ),
inference(cnf,[status(esa)],[8]) ).
thf(28,plain,
sk1 @ sk4,
inference(simp,[status(thm)],[19]) ).
thf(30,plain,
( ( $true
& ( ( sk2 @ sk4 )
| ( sk3 @ sk4 ) ) )
!= ( ( $true
& ( sk2 @ sk4 ) )
| ( $true
& ( sk3 @ sk4 ) ) ) ),
inference(rewrite,[status(thm)],[6,28]) ).
thf(31,plain,
$false,
inference(simp,[status(thm)],[30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET169^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n020.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 6 13:16:24 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.98/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.18/0.97 % [INFO] Parsing done (110ms).
% 1.18/0.98 % [INFO] Running in sequential loop mode.
% 1.69/1.19 % [INFO] eprover registered as external prover.
% 1.69/1.19 % [INFO] cvc4 registered as external prover.
% 1.69/1.20 % [INFO] Scanning for conjecture ...
% 1.84/1.24 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.84/1.26 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.84/1.27 % [INFO] Problem is higher-order (TPTP THF).
% 1.84/1.27 % [INFO] Type checking passed.
% 1.84/1.27 % [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 ...
% 2.83/1.63 % [INFO] Killing All external provers ...
% 2.83/1.64 % Time passed: 1104ms (effective reasoning time: 655ms)
% 2.83/1.64 % 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)>
% 2.83/1.64 % Axioms used in derivation (0):
% 2.83/1.64 % No. of inferences in proof: 11
% 2.83/1.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1104 ms resp. 655 ms w/o parsing
% 3.04/1.72 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.04/1.72 % [INFO] Killing All external provers ...
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