TSTP Solution File: PLA054_4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PLA054_4 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 56 ( 29 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 35 ( 35 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 30 ( 0 sgn; 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
! [X: $ki_world] : $ki_accessible(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
tff(3,axiom,
! [X: $ki_world,Y: $i] : '$ki_exists_in_world_$i'(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const') ).
tff(4,axiom,
! [X: $ki_world,Y: $i,Z: $i,U: $ki_world,V: $ki_world] :
( ~ $ki_accessible($ki_local_world,X)
| ~ '$ki_exists_in_world_$i'(X,Y)
| ~ '$ki_exists_in_world_$i'(X,Z)
| ~ $ki_accessible(X,U)
| ~ closed(U,Y)
| ~ combo(U,Y,Z)
| ~ h(U,'SKOLEMAAAU2.$i'(X,Y,Z))
| ~ $ki_accessible(U,V)
| open(V,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(5,plain,
! [X: $ki_world,Y: $ki_world,Z: $i,U: $i,V: $ki_world] :
( ~ $ki_accessible($ki_local_world,X)
| ~ $ki_accessible(X,Y)
| ~ closed(Y,Z)
| ~ combo(Y,Z,U)
| ~ h(Y,'SKOLEMAAAU2.$i'(X,Z,U))
| ~ $ki_accessible(Y,V)
| open(V,Z) ),
inference('REWRITE',[status(thm)],[4,3]) ).
tff(8,axiom,
! [X: $ki_world] :
( ~ $ki_accessible($ki_local_world,X)
| closed(X,d) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(12,negated_conjecture,
$ki_accessible($ki_local_world,'SKOLEMAAAU4.$ki_world'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(13,negated_conjecture,
! [X: $i,Y: $i,Z: $ki_world] :
( ~ '$ki_exists_in_world_$i'('SKOLEMAAAU4.$ki_world',X)
| ~ '$ki_exists_in_world_$i'('SKOLEMAAAU4.$ki_world',Y)
| ~ $ki_accessible('SKOLEMAAAU4.$ki_world',Z)
| combo(Z,d,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(14,plain,
! [X: $ki_world,Y: $i] :
( ~ $ki_accessible('SKOLEMAAAU4.$ki_world',X)
| combo(X,d,Y) ),
inference('REWRITE',[status(thm)],[13,3]) ).
tff(15,negated_conjecture,
! [X: $i,Y: $i,Z: $ki_world] :
( ~ '$ki_exists_in_world_$i'('SKOLEMAAAU4.$ki_world',X)
| ~ '$ki_exists_in_world_$i'('SKOLEMAAAU4.$ki_world',Y)
| ~ $ki_accessible('SKOLEMAAAU4.$ki_world',Z)
| h(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(16,plain,
! [X: $ki_world,Y: $i] :
( ~ $ki_accessible('SKOLEMAAAU4.$ki_world',X)
| h(X,Y) ),
inference('REWRITE',[status(thm)],[15,3]) ).
tff(17,negated_conjecture,
! [X: $i,Y: $i] :
( ~ '$ki_exists_in_world_$i'('SKOLEMAAAU4.$ki_world',X)
| ~ '$ki_exists_in_world_$i'('SKOLEMAAAU4.$ki_world',Y)
| $ki_accessible('SKOLEMAAAU4.$ki_world','SKOLEMAAAU5.$ki_world') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(18,plain,
$ki_accessible('SKOLEMAAAU4.$ki_world','SKOLEMAAAU5.$ki_world'),
inference('REWRITE',[status(thm)],[17,3]) ).
tff(19,negated_conjecture,
! [X: $i,Y: $i] :
( ~ '$ki_exists_in_world_$i'('SKOLEMAAAU4.$ki_world',X)
| ~ '$ki_exists_in_world_$i'('SKOLEMAAAU4.$ki_world',Y)
| ~ open('SKOLEMAAAU5.$ki_world',d) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(20,plain,
~ open('SKOLEMAAAU5.$ki_world',d),
inference('REWRITE',[status(thm)],[19,3]) ).
tff(21,plain,
closed('SKOLEMAAAU4.$ki_world',d),
inference('HYPERRESOLVE',[status(thm)],[8,12]) ).
tff(24,plain,
! [X: $i] : h('SKOLEMAAAU4.$ki_world',X),
inference('HYPERRESOLVE',[status(thm)],[16,1]) ).
tff(28,plain,
! [X: $i] : combo('SKOLEMAAAU4.$ki_world',d,X),
inference('HYPERRESOLVE',[status(thm)],[14,1]) ).
cnf(32,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5,24,12,1,21,18,20]),28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PLA054_4 : TPTP v8.2.0. Released v8.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n017.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 11:54:03 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2023-05-22T11:54:03
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2023-05-22T11:54:03
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 #||
% 0.21/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51 % SZS output start Refutation
% See solution above
% 0.21/0.52 ||#
% 0.21/0.52
% 0.21/0.52 ; Summary of computation:
% 0.21/0.52 ; 59 formulas have been input or derived (from 18 formulas).
% 0.21/0.52 ; 32 (54%) were retained. Of these,
% 0.21/0.52 ; 8 (25%) were simplified or subsumed later,
% 0.21/0.52 ; 24 (75%) are still being kept.
% 0.21/0.52 ;
% 0.21/0.52 ; Run time in seconds excluding printing time:
% 0.21/0.52 ; 0.005 15% Read assertion file (1 call)
% 0.21/0.52 ; 0.001 3% Assert (10 calls)
% 0.21/0.52 ; 0.001 3% Process new row (47 calls)
% 0.21/0.52 ; 0.003 9% Resolution (34 calls)
% 0.21/0.52 ; 0.000 0% Paramodulation (17 calls)
% 0.21/0.52 ; 0.000 0% Condensing (8 calls)
% 0.21/0.52 ; 0.000 0% Forward subsumption (8 calls)
% 0.21/0.52 ; 0.000 0% Backward subsumption (8 calls)
% 0.21/0.52 ; 0.002 6% Forward simplification (47 calls)
% 0.21/0.52 ; 0.000 0% Backward simplification (25 calls)
% 0.21/0.52 ; 0.000 0% Sortal reasoning (33 calls)
% 0.21/0.52 ; 0.000 0% Purity testing (1 call)
% 0.21/0.52 ; 0.021 64% Other
% 0.21/0.52 ; 0.033 Total
% 0.21/0.52 ; 0.036 Real time
% 0.21/0.52 ;
% 0.21/0.52 ; Term-hash-array has 35 terms in all.
% 0.21/0.52 ; Feature-vector-row-index has 8 entries (8 at peak, 8 added, 0 deleted).
% 0.21/0.52 ; Feature-vector-row-index has 34 nodes (34 at peak, 34 added, 0 deleted).
% 0.21/0.52 ; Retrieved 0 possibly forward subsuming rows in 8 calls.
% 0.21/0.52 ; Retrieved 0 possibly backward subsumed rows in 8 calls.
% 0.21/0.52 ; Path-index has 40 entries (40 at peak, 41 added, 1 deleted).
% 0.21/0.52 ; Path-index has 72 nodes (72 at peak, 72 added, 0 deleted).
% 0.21/0.52 ; Trie-index has 40 entries (40 at peak, 41 added, 1 deleted).
% 0.21/0.52 ; Trie-index has 69 nodes (69 at peak, 70 added, 1 deleted).
% 0.21/0.52 ; Retrieved 56 generalization terms in 63 calls.
% 0.21/0.52 ; Retrieved 17 instance terms in 16 calls.
% 0.21/0.52 ; Retrieved 798 unifiable terms in 311 calls.
% 0.21/0.52 ;
% 0.21/0.52 ; The agenda of rows to process has 4 entries:
% 0.21/0.52 ; 4 with value 11
% 0.21/0.52 ; The agenda of rows to give has 6 entries:
% 0.21/0.52 ; 1 with value (4 5) 5 with value (4 6)
% 0.21/0.52 Evaluation took:
% 0.21/0.52 0.036 seconds of real time
% 0.21/0.52 0.033322 seconds of user run time
% 0.21/0.52 0.002999 seconds of system run time
% 0.21/0.52 0 calls to %EVAL
% 0.21/0.52 0 page faults and
% 0.21/0.52 3,185,552 bytes consed.
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2023-05-22T11:54:03
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 *
%------------------------------------------------------------------------------