%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PLA053_5 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 May 22 15:41:25 EDT 2023
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 20 ( 20 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 21 ( 0 sgn; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
! [X: $ki_world,Y: $ki_world] : $ki_accessible(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal) ).
tff(2,axiom,
! [X: $ki_world,Y: $i] : '$ki_exists_in_world_$i'(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const') ).
tff(5,axiom,
! [X: $ki_world,Y: $i,Z: $ki_world] :
( ~ $ki_accessible($ki_local_world,X)
| ~ '$ki_exists_in_world_$i'(X,Y)
| ~ bomb(X,Y)
| ~ h(X,'SKOLEMAAAV3.$i')
| ~ $ki_accessible(X,Z)
| bomb(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(6,plain,
! [X: $ki_world,Y: $i,Z: $ki_world] :
( ~ bomb(X,Y)
| ~ h(X,'SKOLEMAAAV3.$i')
| bomb(Z,Y) ),
inference('REWRITE',[status(thm)],[5,2,1]) ).
tff(7,axiom,
! [X: $ki_world,Y: $i,Z: $ki_world] :
( ~ $ki_accessible($ki_local_world,X)
| ~ '$ki_exists_in_world_$i'(X,Y)
| ~ $ki_accessible(X,Z)
| ~ bomb(Z,Y)
| ~ h(Z,'SKOLEMAAAV4.$i'(X,Y))
| defused(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(8,plain,
! [X: $ki_world,Y: $i,Z: $ki_world] :
( ~ bomb(X,Y)
| ~ h(X,'SKOLEMAAAV4.$i'(Z,Y))
| defused(X,Y) ),
inference('REWRITE',[status(thm)],[7,2,1]) ).
tff(9,negated_conjecture,
! [X: $i] :
( ~ '$ki_exists_in_world_$i'('SKOLEMAAAV5.$ki_world',X)
| bomb('SKOLEMAAAV5.$ki_world','SKOLEMAAAV6.$i') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(10,plain,
bomb('SKOLEMAAAV5.$ki_world','SKOLEMAAAV6.$i'),
inference('REWRITE',[status(thm)],[9,2]) ).
tff(11,negated_conjecture,
! [X: $i] :
( ~ '$ki_exists_in_world_$i'('SKOLEMAAAV5.$ki_world',X)
| h('SKOLEMAAAV5.$ki_world',X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(12,plain,
! [X: $i] : h('SKOLEMAAAV5.$ki_world',X),
inference('REWRITE',[status(thm)],[11,2]) ).
tff(13,negated_conjecture,
! [X: $i] :
( ~ '$ki_exists_in_world_$i'('SKOLEMAAAV5.$ki_world',X)
| ~ defused('SKOLEMAAAV5.$ki_world','SKOLEMAAAV6.$i') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(14,plain,
~ defused('SKOLEMAAAV5.$ki_world','SKOLEMAAAV6.$i'),
inference('REWRITE',[status(thm)],[13,2]) ).
tff(15,plain,
! [X: $ki_world] : bomb(X,'SKOLEMAAAV6.$i'),
inference('HYPERRESOLVE',[status(thm)],[6,10,12]) ).
cnf(17,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[8,12,14]),15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : PLA053_5 : TPTP v8.2.0. Released v8.2.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 22 12:21:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2023-05-22T12:21:38
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2023-05-22T12:21:38
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 27 formulas have been input or derived (from 9 formulas).
% 0.20/0.51 ; 17 (63%) were retained. Of these,
% 0.20/0.51 ; 7 (41%) were simplified or subsumed later,
% 0.20/0.51 ; 10 (59%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.003 11% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 4% Assert (7 calls)
% 0.20/0.51 ; 0.001 4% Process new row (17 calls)
% 0.20/0.51 ; 0.001 4% Resolution (16 calls)
% 0.20/0.51 ; 0.000 0% Paramodulation (8 calls)
% 0.20/0.51 ; 0.000 0% Condensing (2 calls)
% 0.20/0.51 ; 0.000 0% Forward subsumption (2 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (2 calls)
% 0.20/0.51 ; 0.000 0% Forward simplification (17 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (11 calls)
% 0.20/0.51 ; 0.001 4% Sortal reasoning (33 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.020 74% Other
% 0.20/0.51 ; 0.027 Total
% 0.20/0.51 ; 0.030 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 16 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 8 nodes (8 at peak, 8 added, 0 deleted).
% 0.20/0.51 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.20/0.51 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.20/0.51 ; Path-index has 19 entries (19 at peak, 20 added, 1 deleted).
% 0.20/0.51 ; Path-index has 51 nodes (51 at peak, 52 added, 1 deleted).
% 0.20/0.51 ; Trie-index has 19 entries (19 at peak, 20 added, 1 deleted).
% 0.20/0.51 ; Trie-index has 37 nodes (37 at peak, 39 added, 2 deleted).
% 0.20/0.51 ; Retrieved 21 generalization terms in 26 calls.
% 0.20/0.51 ; Retrieved 9 instance terms in 8 calls.
% 0.20/0.51 ; Retrieved 43 unifiable terms in 46 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 1 entry:
% 0.20/0.51 ; 1 with value 7
% 0.20/0.51 ; The agenda of rows to give has 2 entries:
% 0.20/0.51 ; 1 with value (4 5) 1 with value (4 7)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.03 seconds of real time
% 0.20/0.51 0.02526 seconds of user run time
% 0.20/0.51 0.005259 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 2,521,456 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2023-05-22T12:21:38
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------