TSTP Solution File: SYO264^5 by Leo-III---1.7.15
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SYO264^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n024.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 : Mon Jun 24 20:50:48 EDT 2024
% Result : Theorem 5.70s 2.78s
% Output : Refutation 5.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 3 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 119 ( 32 ~; 19 |; 9 &; 59 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 7 ^ 32 !; 6 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk1_type,type,
sk1: $i ).
thf(sk4_type,type,
sk4: $i > $o ).
thf(sk5_type,type,
sk5: ( $i > $o ) > ( $i > $o ) > $o ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i > $o] :
? [E: $i > $o,F: $i > $o] :
( ( ( E @ A )
| ( F @ A ) )
& ( ( D @ B )
| ( F @ B ) )
& ( ( E @ C )
| ~ ( D @ C ) )
& ! [G: $i] :
( ( F @ G )
= ( ~ ( D @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM125C) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i > $o] :
? [E: $i > $o,F: $i > $o] :
( ( ( E @ A )
| ( F @ A ) )
& ( ( D @ B )
| ( F @ B ) )
& ( ( E @ C )
| ~ ( D @ C ) )
& ! [G: $i] :
( ( F @ G )
= ( ~ ( D @ G ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i,B: $i,C: $i,D: $i > $o] :
? [E: $i > $o,F: $i > $o] :
( ( ( E @ A )
| ( F @ A ) )
& ( ( D @ B )
| ( F @ B ) )
& ( ( E @ C )
| ~ ( D @ C ) )
& ! [G: $i] :
( ( F @ G )
= ( ~ ( D @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
! [B: $i > $o,A: $i > $o] :
( ~ ( B @ sk1 )
| ~ ( sk5 @ B @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
! [B: $i > $o,A: $i > $o] :
( ~ ( A @ sk1 )
| ~ ( sk5 @ B @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(34,plain,
! [A: $i > $o] :
( ~ $true
| ~ ( sk5 @ A
@ ^ [B: $i] : $true ) ),
inference(prim_subst,[status(thm)],[7:[bind(A,$thf( ^ [C: $i] : $true ))]]) ).
thf(42,plain,
! [A: $i > $o] :
~ ( sk5 @ A
@ ^ [B: $i] : $true ),
inference(simp,[status(thm)],[34]) ).
thf(37,plain,
! [A: $i > $o] :
( ~ ( sk4 @ sk1 )
| ~ ( sk5 @ A @ sk4 ) ),
inference(prim_subst,[status(thm)],[7:[bind(A,$thf( sk4 ))]]) ).
thf(49,plain,
! [A: $i > $o] :
( ~ ( sk4 @ sk1 )
| ~ ( sk5 @ A @ sk4 ) ),
inference(simp,[status(thm)],[37]) ).
thf(15,plain,
! [B: $i > $o,A: $i > $o] :
( ~ ~ ( B @ sk1 )
| ~ ( sk5
@ ^ [C: $i] :
~ ( B @ C )
@ A ) ),
inference(prim_subst,[status(thm)],[5:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ~ ( C @ D ) ))]]) ).
thf(30,plain,
! [B: $i > $o,A: $i > $o] :
( ~ ( sk5
@ ^ [C: $i] :
~ ( B @ C )
@ A )
| ( B @ sk1 ) ),
inference(cnf,[status(esa)],[15]) ).
thf(31,plain,
! [B: $i > $o,A: $i > $o] :
( ~ ( sk5
@ ^ [C: $i] :
~ ( B @ C )
@ A )
| ( B @ sk1 ) ),
inference(simp,[status(thm)],[30]) ).
thf(18,plain,
! [A: $i > $o] :
( ~ $true
| ~ ( sk5
@ ^ [B: $i] : $true
@ A ) ),
inference(prim_subst,[status(thm)],[5:[bind(A,$thf( A )),bind(B,$thf( ^ [C: $i] : $true ))]]) ).
thf(28,plain,
! [A: $i > $o] :
~ ( sk5
@ ^ [B: $i] : $true
@ A ),
inference(simp,[status(thm)],[18]) ).
thf(21,plain,
! [A: $i > $o] :
( ~ ( sk4 @ sk1 )
| ~ ( sk5 @ sk4 @ A ) ),
inference(prim_subst,[status(thm)],[5:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(250,plain,
$false,
inference(e,[status(thm)],[5,42,49,7,3,31,28,21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYO264^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.11 % Command : run_Leo-III %s %d THM
% 0.10/0.31 % Computer : n024.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 : Sun Jun 23 08:40:10 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.96/0.92 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/1.06 % [INFO] Parsing done (136ms).
% 1.21/1.07 % [INFO] Running in sequential loop mode.
% 1.67/1.33 % [INFO] eprover registered as external prover.
% 1.67/1.33 % [INFO] Scanning for conjecture ...
% 1.83/1.40 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.83/1.44 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.83/1.44 % [INFO] Problem is higher-order (TPTP THF).
% 1.83/1.44 % [INFO] Type checking passed.
% 1.83/1.45 % [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 ...
% 5.70/2.78 % External prover 'e' found a proof!
% 5.70/2.78 % [INFO] Killing All external provers ...
% 5.70/2.78 % Time passed: 2302ms (effective reasoning time: 1703ms)
% 5.70/2.78 % 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)>
% 5.70/2.78 % Axioms used in derivation (0):
% 5.70/2.78 % No. of inferences in proof: 16
% 5.70/2.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2302 ms resp. 1703 ms w/o parsing
% 5.70/2.80 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.70/2.80 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------