TSTP Solution File: SYO260^5 by Leo-III-SAT---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYO260^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n015.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 08:59:44 EDT 2024
% Result : Theorem 5.29s 2.32s
% Output : Refutation 5.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 4 unt; 3 typ; 0 def)
% Number of atoms : 29 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 98 ( 22 ~; 21 |; 6 &; 49 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 38 ( 4 ^ 28 !; 6 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk3_type,type,
sk3: $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 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM125A) ).
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 ) ) ),
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 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,plain,
! [B: $i > $o,A: $i > $o] :
( ( sk5 @ B @ A )
| ~ ( B @ sk2 )
| ( sk4 @ sk3 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
! [B: $i > $o,A: $i > $o] :
( ~ ( B @ sk1 )
| ~ ( sk5 @ B @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(36,plain,
! [A: $i > $o] :
( ~ $true
| ~ ( sk5
@ ^ [B: $i] : $true
@ A ) ),
inference(prim_subst,[status(thm)],[9:[bind(A,$thf( A )),bind(B,$thf( ^ [C: $i] : $true ))]]) ).
thf(40,plain,
! [A: $i > $o] :
~ ( sk5
@ ^ [B: $i] : $true
@ A ),
inference(simp,[status(thm)],[36]) ).
thf(140,plain,
! [C: $i > $o,B: $i > $o,A: $i > $o] :
( ~ ( B @ sk2 )
| ( sk4 @ sk3 )
| ( ( sk5 @ B @ A )
!= ( sk5
@ ^ [D: $i] : $true
@ C ) ) ),
inference(paramod_ordered,[status(thm)],[8,40]) ).
thf(141,plain,
( ~ $true
| ( sk4 @ sk3 ) ),
inference(pattern_uni,[status(thm)],[140:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : $true )),bind(C,$thf( A ))]]) ).
thf(156,plain,
sk4 @ sk3,
inference(simp,[status(thm)],[141]) ).
thf(7,plain,
! [B: $i > $o,A: $i > $o] :
( ( sk5 @ B @ A )
| ~ ( B @ sk2 )
| ~ ( A @ sk3 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(195,plain,
! [C: $i > $o,B: $i > $o,A: $i > $o] :
( ~ ( B @ sk2 )
| ~ ( A @ sk3 )
| ( ( sk5 @ B @ A )
!= ( sk5
@ ^ [D: $i] : $true
@ C ) ) ),
inference(paramod_ordered,[status(thm)],[7,40]) ).
thf(196,plain,
! [A: $i > $o] :
( ~ $true
| ~ ( A @ sk3 ) ),
inference(pattern_uni,[status(thm)],[195:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : $true )),bind(C,$thf( A ))]]) ).
thf(220,plain,
! [A: $i > $o] :
~ ( A @ sk3 ),
inference(simp,[status(thm)],[196]) ).
thf(248,plain,
$false,
inference(rewrite,[status(thm)],[156,220]) ).
thf(249,plain,
$false,
inference(simp,[status(thm)],[248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO260^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.16 % Command : run_Leo-III %s %d
% 0.14/0.37 % Computer : n015.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Mon May 20 09:34:09 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.91/0.90 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/1.02 % [INFO] Parsing done (111ms).
% 1.19/1.02 % [INFO] Running in sequential loop mode.
% 1.55/1.27 % [INFO] nitpick registered as external prover.
% 1.55/1.27 % [INFO] Scanning for conjecture ...
% 1.67/1.33 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.76/1.36 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.76/1.36 % [INFO] Problem is higher-order (TPTP THF).
% 1.76/1.36 % [INFO] Type checking passed.
% 1.76/1.36 % [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 ...
% 5.29/2.31 % [INFO] Killing All external provers ...
% 5.29/2.32 % Time passed: 1757ms (effective reasoning time: 1287ms)
% 5.29/2.32 % 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)>
% 5.29/2.32 % Axioms used in derivation (0):
% 5.29/2.32 % No. of inferences in proof: 16
% 5.29/2.32 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1757 ms resp. 1287 ms w/o parsing
% 5.29/2.36 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.29/2.36 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------