TSTP Solution File: SEU845^5 by Leo-III---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEU845^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 03:40:16 EDT 2024
% Result : Theorem 3.47s 1.81s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 11 unt; 4 typ; 0 def)
% Number of atoms : 47 ( 8 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 107 ( 28 ~; 8 |; 16 &; 49 @)
% ( 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 ) )
=> ( A
= ( ^ [C: a] :
( ( B @ C )
& ~ ( ( B @ C )
& ~ ( A @ C ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cGAZING_THM12_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o] :
( ! [C: a] :
( ( A @ C )
=> ( B @ C ) )
=> ( A
= ( ^ [C: a] :
( ( B @ C )
& ~ ( ( B @ C )
& ~ ( A @ C ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > $o,B: a > $o] :
( ! [C: a] :
( ( A @ C )
=> ( B @ C ) )
=> ( A
= ( ^ [C: a] :
( ( B @ C )
& ~ ( ( B @ C )
& ~ ( A @ C ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( sk1
!= ( ^ [A: a] :
( ( sk2 @ A )
& ~ ( ( sk2 @ A )
& ~ ( sk1 @ A ) ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
( ( ^ [A: a] :
( ( sk2 @ A )
& ~ ( ( sk2 @ A )
& ~ ( sk1 @ A ) ) ) )
!= sk1 ),
inference(lifteq,[status(thm)],[4]) ).
thf(7,plain,
( ( ( sk2 @ sk3 )
& ~ ( ( sk2 @ sk3 )
& ~ ( sk1 @ sk3 ) ) )
!= ( sk1 @ sk3 ) ),
inference(func_ext,[status(esa)],[6]) ).
thf(9,plain,
( ( ( sk2 @ sk3 )
& ~ ( ( sk2 @ sk3 )
& ~ ( sk1 @ sk3 ) ) )
| ( sk1 @ sk3 ) ),
inference(bool_ext,[status(thm)],[7]) ).
thf(14,plain,
( ( sk1 @ sk3 )
| ( sk2 @ sk3 ) ),
inference(cnf,[status(esa)],[9]) ).
thf(13,plain,
( ( sk1 @ sk3 )
| ~ ( sk2 @ sk3 )
| ( sk1 @ sk3 ) ),
inference(cnf,[status(esa)],[9]) ).
thf(15,plain,
( ( sk1 @ sk3 )
| ~ ( sk2 @ sk3 ) ),
inference(simp,[status(thm)],[13]) ).
thf(22,plain,
( ( sk1 @ sk3 )
| ( ( sk2 @ sk3 )
!= ( sk2 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[14,15]) ).
thf(23,plain,
sk1 @ sk3,
inference(pattern_uni,[status(thm)],[22:[]]) ).
thf(5,plain,
! [A: a] :
( ~ ( sk1 @ A )
| ( sk2 @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(38,plain,
! [A: a] :
( ( sk2 @ A )
| ( ( sk1 @ sk3 )
!= ( sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[23,5]) ).
thf(39,plain,
sk2 @ sk3,
inference(pattern_uni,[status(thm)],[38:[bind(A,$thf( sk3 ))]]) ).
thf(32,plain,
~ ( ( sk2 @ sk3 )
& ~ ( ( sk2 @ sk3 )
& ~ $true ) ),
inference(rewrite,[status(thm)],[7,23]) ).
thf(33,plain,
~ ( sk2 @ sk3 ),
inference(simp,[status(thm)],[32]) ).
thf(43,plain,
$false,
inference(rewrite,[status(thm)],[39,33]) ).
thf(44,plain,
$false,
inference(simp,[status(thm)],[43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU845^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 16:45:24 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.81/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.95 % [INFO] Parsing done (102ms).
% 1.21/0.95 % [INFO] Running in sequential loop mode.
% 1.64/1.17 % [INFO] eprover registered as external prover.
% 1.64/1.18 % [INFO] cvc4 registered as external prover.
% 1.64/1.18 % [INFO] Scanning for conjecture ...
% 1.79/1.23 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.79/1.25 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.79/1.25 % [INFO] Problem is higher-order (TPTP THF).
% 1.79/1.25 % [INFO] Type checking passed.
% 1.79/1.26 % [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 ...
% 3.47/1.80 % [INFO] Killing All external provers ...
% 3.47/1.81 % Time passed: 1299ms (effective reasoning time: 847ms)
% 3.47/1.81 % 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)>
% 3.47/1.81 % Axioms used in derivation (0):
% 3.47/1.81 % No. of inferences in proof: 19
% 3.47/1.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1299 ms resp. 847 ms w/o parsing
% 3.50/1.83 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.50/1.83 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------