TSTP Solution File: SET612^5 by Leo-III---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SET612^5 : 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 03:03:11 EDT 2024
% Result : Theorem 3.52s 1.74s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 10 unt; 5 typ; 0 def)
% Number of atoms : 64 ( 6 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 172 ( 42 ~; 23 |; 32 &; 75 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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_85_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 )
& ( sk1 @ A )
& ~ ( sk3 @ A ) ) )
!= ( ^ [A: a] :
( ( sk1 @ A )
& ~ ( ( sk2 @ A )
| ( sk3 @ A ) ) ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(7,plain,
( ( ( sk1 @ sk4 )
& ~ ( sk2 @ sk4 )
& ( sk1 @ sk4 )
& ~ ( sk3 @ sk4 ) )
!= ( ( sk1 @ sk4 )
& ~ ( ( sk2 @ sk4 )
| ( sk3 @ sk4 ) ) ) ),
inference(func_ext,[status(esa)],[5]) ).
thf(32,plain,
( ~ ( ( sk1 @ sk4 )
& ~ ( sk2 @ sk4 )
& ( sk1 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ~ ( ( sk1 @ sk4 )
& ~ ( ( sk2 @ sk4 )
| ( sk3 @ sk4 ) ) ) ),
inference(bool_ext,[status(thm)],[7]) ).
thf(34,plain,
( ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk3 @ sk4 ) ),
inference(cnf,[status(esa)],[32]) ).
thf(35,plain,
( ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 ) ),
inference(simp,[status(thm)],[34]) ).
thf(33,plain,
( ( ( sk1 @ sk4 )
& ~ ( sk2 @ sk4 )
& ( sk1 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk1 @ sk4 )
& ~ ( ( sk2 @ sk4 )
| ( sk3 @ sk4 ) ) ) ),
inference(bool_ext,[status(thm)],[7]) ).
thf(38,plain,
( ~ ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 ) ),
inference(cnf,[status(esa)],[33]) ).
thf(42,plain,
~ ( sk2 @ sk4 ),
inference(simp,[status(thm)],[38]) ).
thf(41,plain,
( ( sk1 @ sk4 )
| ( sk1 @ sk4 ) ),
inference(cnf,[status(esa)],[33]) ).
thf(43,plain,
sk1 @ sk4,
inference(simp,[status(thm)],[41]) ).
thf(36,plain,
( ~ ( sk3 @ sk4 )
| ~ ( sk3 @ sk4 ) ),
inference(cnf,[status(esa)],[33]) ).
thf(44,plain,
~ ( sk3 @ sk4 ),
inference(simp,[status(thm)],[36]) ).
thf(54,plain,
( ~ $true
| $false
| $false ),
inference(rewrite,[status(thm)],[35,42,43,44]) ).
thf(55,plain,
$false,
inference(simp,[status(thm)],[54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET612^5 : TPTP v8.2.0. Released v4.0.0.
% 0.15/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n007.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 20 13:23:39 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.95/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.02/0.93 % [INFO] Parsing done (92ms).
% 1.24/0.94 % [INFO] Running in sequential loop mode.
% 1.48/1.14 % [INFO] eprover registered as external prover.
% 1.48/1.14 % [INFO] cvc4 registered as external prover.
% 1.48/1.14 % [INFO] Scanning for conjecture ...
% 1.65/1.19 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.74/1.21 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.74/1.21 % [INFO] Problem is higher-order (TPTP THF).
% 1.74/1.21 % [INFO] Type checking passed.
% 1.74/1.21 % [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 ...
% 3.52/1.73 % [INFO] Killing All external provers ...
% 3.52/1.74 % Time passed: 1201ms (effective reasoning time: 790ms)
% 3.52/1.74 % 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)>
% 3.52/1.74 % Axioms used in derivation (0):
% 3.52/1.74 % No. of inferences in proof: 18
% 3.52/1.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1201 ms resp. 790 ms w/o parsing
% 3.52/1.78 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.52/1.78 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------