TSTP Solution File: PLA053^5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : PLA053^5 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n023.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 02:20:10 EDT 2024
% Result : Theorem 49.50s 15.41s
% Output : Refutation 49.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of formulae : 43 ( 16 unt; 15 typ; 6 def)
% Number of atoms : 90 ( 8 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 194 ( 27 ~; 16 |; 4 &; 138 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 43 ( 43 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 47 ( 19 ^ 25 !; 3 ?; 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(mand_type,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mand_def,definition,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,C: mworld] :
( ( A @ C )
& ( B @ C ) ) ) ) ).
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(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] : ( 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] : ( A @ C @ B ) ) ) ).
thf(h_type,type,
h: $i > mworld > $o ).
thf(bomb_type,type,
bomb: $i > mworld > $o ).
thf(defused_type,type,
defused: $i > mworld > $o ).
thf(sk1_type,type,
sk1: mworld ).
thf(sk2_type,type,
sk2: $i ).
thf(sk5_type,type,
sk5: $i > mworld > $i ).
thf(3,axiom,
! [A: mworld] : ( mrel @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(14,plain,
! [A: mworld] : ( mrel @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(15,plain,
! [A: mworld] : ( mrel @ A @ A ),
inference(cnf,[status(esa)],[14]) ).
thf(7,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mexists_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( bomb @ A ) @ ( h @ B ) ) @ ( defused @ A ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(22,plain,
! [A: mworld] :
( ( mrel @ mactual @ A )
=> ! [B: $i] :
? [C: $i] :
! [D: mworld] :
( ( mrel @ A @ D )
=> ( ( ( bomb @ B @ D )
& ( h @ C @ D ) )
=> ( defused @ B @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(23,plain,
! [C: mworld,B: $i,A: mworld] :
( ~ ( mrel @ mactual @ A )
| ~ ( mrel @ A @ C )
| ~ ( bomb @ B @ C )
| ~ ( h @ ( sk5 @ B @ A ) @ C )
| ( defused @ B @ C ) ),
inference(cnf,[status(esa)],[22]) ).
thf(1,conjecture,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mexists_di
@ ^ [B: $i] : ( mimplies @ ( mand @ ( bomb @ A ) @ ( h @ B ) ) @ ( defused @ A ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mexists_di
@ ^ [B: $i] : ( mimplies @ ( mand @ ( bomb @ A ) @ ( h @ B ) ) @ ( defused @ A ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ! [A: mworld] :
( ( mrel @ mactual @ A )
=> ! [B: $i] :
? [C: $i] :
( ( ( bomb @ B @ A )
& ( h @ C @ A ) )
=> ( defused @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,plain,
~ ! [A: mworld] :
( ( mrel @ mactual @ A )
=> ! [B: $i] :
( ( ( bomb @ B @ A )
& ! [C: $i] : ( h @ C @ A ) )
=> ( defused @ B @ A ) ) ),
inference(miniscope,[status(thm)],[8]) ).
thf(10,plain,
~ ( defused @ sk2 @ sk1 ),
inference(cnf,[status(esa)],[9]) ).
thf(10794,plain,
! [C: mworld,B: $i,A: mworld] :
( ~ ( mrel @ mactual @ A )
| ~ ( mrel @ A @ C )
| ~ ( bomb @ B @ C )
| ~ ( h @ ( sk5 @ B @ A ) @ C )
| ( ( defused @ B @ C )
!= ( defused @ sk2 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[23,10]) ).
thf(10795,plain,
! [A: mworld] :
( ~ ( mrel @ mactual @ A )
| ~ ( mrel @ A @ sk1 )
| ~ ( bomb @ sk2 @ sk1 )
| ~ ( h @ ( sk5 @ sk2 @ A ) @ sk1 ) ),
inference(pattern_uni,[status(thm)],[10794:[bind(A,$thf( A )),bind(B,$thf( sk2 )),bind(C,$thf( sk1 ))]]) ).
thf(11,plain,
! [A: $i] : ( h @ A @ sk1 ),
inference(cnf,[status(esa)],[9]) ).
thf(12,plain,
bomb @ sk2 @ sk1,
inference(cnf,[status(esa)],[9]) ).
thf(10898,plain,
! [A: mworld] :
( ~ ( mrel @ mactual @ A )
| ~ ( mrel @ A @ sk1 )
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[10795,11,12]) ).
thf(10899,plain,
! [A: mworld] :
( ~ ( mrel @ mactual @ A )
| ~ ( mrel @ A @ sk1 ) ),
inference(simp,[status(thm)],[10898]) ).
thf(10904,plain,
! [B: mworld,A: mworld] :
( ~ ( mrel @ B @ sk1 )
| ( ( mrel @ A @ A )
!= ( mrel @ mactual @ B ) ) ),
inference(paramod_ordered,[status(thm)],[15,10899]) ).
thf(10905,plain,
~ ( mrel @ mactual @ sk1 ),
inference(pattern_uni,[status(thm)],[10904:[bind(A,$thf( mactual )),bind(B,$thf( mactual ))]]) ).
thf(13,plain,
mrel @ mactual @ sk1,
inference(cnf,[status(esa)],[9]) ).
thf(10934,plain,
~ $true,
inference(rewrite,[status(thm)],[10905,13]) ).
thf(10935,plain,
$false,
inference(simp,[status(thm)],[10934]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PLA053^5 : TPTP v8.2.0. Released v8.1.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 13:41:39 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.97/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/0.99 % [INFO] Parsing done (121ms).
% 1.19/1.00 % [INFO] Running in sequential loop mode.
% 1.67/1.21 % [INFO] nitpick registered as external prover.
% 1.76/1.21 % [INFO] Scanning for conjecture ...
% 1.84/1.29 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 1.84/1.31 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.84/1.32 % [INFO] Problem is higher-order (TPTP THF).
% 1.84/1.32 % [INFO] Type checking passed.
% 1.84/1.32 % [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 ...
% 49.50/15.40 % [INFO] Killing All external provers ...
% 49.50/15.40 % Time passed: 14877ms (effective reasoning time: 14401ms)
% 49.50/15.40 % 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)>
% 49.50/15.41 % Axioms used in derivation (2): mrel_reflexive, ax3
% 49.50/15.41 % No. of inferences in proof: 22
% 49.50/15.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 14877 ms resp. 14401 ms w/o parsing
% 49.50/15.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 49.50/15.43 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------