TSTP Solution File: SYO891^16 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYO891^16 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.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 09:01:58 EDT 2024
% Result : Theorem 5.54s 2.18s
% Output : Refutation 5.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 22
% Syntax : Number of formulae : 41 ( 13 unt; 14 typ; 6 def)
% Number of atoms : 94 ( 9 equ; 0 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 197 ( 27 ~; 14 |; 9 &; 138 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 39 ( 39 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 47 ( 16 ^ 24 !; 7 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(mlocal_def,definition,
( mlocal
= ( ^ [A: mworld > $o] : ( A @ mactual ) ) ) ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mimplies_def,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,C: mworld] :
( ( A @ C )
=> ( B @ C ) ) ) ) ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(mbox_def,definition,
( mbox
= ( ^ [A: mworld > $o,B: mworld] :
! [C: mworld] :
( ( mrel @ B @ C )
=> ( A @ C ) ) ) ) ).
thf(mdia_type,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(mdia_def,definition,
( mdia
= ( ^ [A: mworld > $o,B: mworld] :
? [C: mworld] :
( ( mrel @ B @ C )
& ( A @ C ) ) ) ) ).
thf(eiw_di_type,type,
eiw_di: $i > mworld > $o ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(mforall_di_def,definition,
( mforall_di
= ( ^ [A: $i > mworld > $o,B: mworld] :
! [C: $i] :
( ( eiw_di @ C @ B )
=> ( A @ C @ B ) ) ) ) ).
thf(mexists_di_type,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(mexists_di_def,definition,
( mexists_di
= ( ^ [A: $i > mworld > $o,B: mworld] :
? [C: $i] :
( ( eiw_di @ C @ B )
& ( A @ C @ B ) ) ) ) ).
thf(qmltpeq_type,type,
qmltpeq: $i > $i > mworld > $o ).
thf(p_type,type,
p: $i > mworld > $o ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: mworld ).
thf(1,conjecture,
( mlocal
@ ( mimplies
@ ( mforall_di
@ ^ [A: $i] : ( mbox @ ( mexists_di @ ( qmltpeq @ A ) ) ) )
@ ( mimplies
@ ( mexists_di
@ ^ [A: $i] : ( mdia @ ( p @ A ) ) )
@ ( mdia @ ( mexists_di @ p ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ( mlocal
@ ( mimplies
@ ( mforall_di
@ ^ [A: $i] : ( mbox @ ( mexists_di @ ( qmltpeq @ A ) ) ) )
@ ( mimplies
@ ( mexists_di
@ ^ [A: $i] : ( mdia @ ( p @ A ) ) )
@ ( mdia @ ( mexists_di @ p ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(11,plain,
~ ( ! [A: $i] :
( ( eiw_di @ A @ mactual )
=> ! [B: mworld] :
( ( mrel @ mactual @ B )
=> ? [C: $i] :
( ( eiw_di @ C @ B )
& ( qmltpeq @ A @ C @ B ) ) ) )
=> ( ? [A: $i] :
( ( eiw_di @ A @ mactual )
& ? [B: mworld] :
( ( mrel @ mactual @ B )
& ( p @ A @ B ) ) )
=> ? [A: mworld] :
( ( mrel @ mactual @ A )
& ? [B: $i] :
( ( eiw_di @ B @ A )
& ( p @ B @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(14,plain,
mrel @ mactual @ sk3,
inference(cnf,[status(esa)],[11]) ).
thf(6,axiom,
! [A: mworld,B: mworld,C: $i] :
( ( ( eiw_di @ C @ A )
& ( mrel @ A @ B ) )
=> ( eiw_di @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_cumul) ).
thf(25,plain,
! [A: mworld,B: mworld,C: $i] :
( ( ( eiw_di @ C @ A )
& ( mrel @ A @ B ) )
=> ( eiw_di @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(26,plain,
! [C: $i,B: mworld,A: mworld] :
( ~ ( eiw_di @ C @ A )
| ~ ( mrel @ A @ B )
| ( eiw_di @ C @ B ) ),
inference(cnf,[status(esa)],[25]) ).
thf(17,plain,
p @ sk2 @ sk3,
inference(cnf,[status(esa)],[11]) ).
thf(13,plain,
! [B: $i,A: mworld] :
( ~ ( mrel @ mactual @ A )
| ~ ( eiw_di @ B @ A )
| ~ ( p @ B @ A ) ),
inference(cnf,[status(esa)],[11]) ).
thf(18,plain,
! [B: $i,A: mworld] :
( ~ ( mrel @ mactual @ A )
| ~ ( eiw_di @ B @ A )
| ~ ( p @ B @ A ) ),
inference(simp,[status(thm)],[13]) ).
thf(39,plain,
! [B: $i,A: mworld] :
( ~ ( mrel @ mactual @ A )
| ~ ( eiw_di @ B @ A )
| ( ( p @ sk2 @ sk3 )
!= ( p @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[17,18]) ).
thf(40,plain,
( ~ ( mrel @ mactual @ sk3 )
| ~ ( eiw_di @ sk2 @ sk3 ) ),
inference(pattern_uni,[status(thm)],[39:[bind(A,$thf( sk3 )),bind(B,$thf( sk2 ))]]) ).
thf(45,plain,
( ~ $true
| ~ ( eiw_di @ sk2 @ sk3 ) ),
inference(rewrite,[status(thm)],[40,14]) ).
thf(46,plain,
~ ( eiw_di @ sk2 @ sk3 ),
inference(simp,[status(thm)],[45]) ).
thf(296,plain,
! [C: $i,B: mworld,A: mworld] :
( ~ ( eiw_di @ C @ A )
| ~ ( mrel @ A @ B )
| ( ( eiw_di @ C @ B )
!= ( eiw_di @ sk2 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[26,46]) ).
thf(297,plain,
! [A: mworld] :
( ~ ( eiw_di @ sk2 @ A )
| ~ ( mrel @ A @ sk3 ) ),
inference(pattern_uni,[status(thm)],[296:[bind(A,$thf( A )),bind(B,$thf( sk3 )),bind(C,$thf( sk2 ))]]) ).
thf(334,plain,
! [A: mworld] :
( ~ ( eiw_di @ sk2 @ A )
| ( ( mrel @ mactual @ sk3 )
!= ( mrel @ A @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[14,297]) ).
thf(335,plain,
~ ( eiw_di @ sk2 @ mactual ),
inference(pattern_uni,[status(thm)],[334:[bind(A,$thf( mactual ))]]) ).
thf(12,plain,
eiw_di @ sk2 @ mactual,
inference(cnf,[status(esa)],[11]) ).
thf(360,plain,
~ $true,
inference(rewrite,[status(thm)],[335,12]) ).
thf(361,plain,
$false,
inference(simp,[status(thm)],[360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYO891^16 : TPTP v8.2.0. Released v8.1.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n029.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 10:31:09 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.94/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.30/0.97 % [INFO] Parsing done (121ms).
% 1.30/0.98 % [INFO] Running in sequential loop mode.
% 1.67/1.18 % [INFO] nitpick registered as external prover.
% 1.75/1.18 % [INFO] Scanning for conjecture ...
% 1.95/1.25 % [INFO] Found a conjecture (or negated_conjecture) and 8 axioms. Running axiom selection ...
% 1.95/1.27 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms).
% 1.95/1.28 % [INFO] Problem is higher-order (TPTP THF).
% 1.95/1.29 % [INFO] Type checking passed.
% 1.95/1.29 % [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 ...
% 5.54/2.18 % [INFO] Killing All external provers ...
% 5.54/2.18 % Time passed: 1654ms (effective reasoning time: 1194ms)
% 5.54/2.18 % 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)>
% 5.54/2.18 % Axioms used in derivation (1): eiw_di_cumul
% 5.54/2.18 % No. of inferences in proof: 21
% 5.54/2.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1654 ms resp. 1194 ms w/o parsing
% 5.54/2.21 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.54/2.21 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------