TSTP Solution File: LCL947_10 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL947_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 15:38:46 EDT 2023
% Result : Theorem 3.82s 4.00s
% Output : Refutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 35 ( 18 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 29 ( 29 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; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 16 ( 0 sgn; 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
! [X: $ki_world] : $ki_accessible(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).
tff(31,axiom,
! [X: $ki_world,Y: $i,Z: $ki_world,U: $i,V: $ki_world,W: $ki_world] :
( ~ $ki_accessible($ki_local_world,X)
| ~ '$ki_exists_in_world_$i'(X,Y)
| ~ $ki_accessible(X,Z)
| ~ '$ki_exists_in_world_$i'(Z,U)
| ~ $ki_accessible(Z,V)
| $ki_accessible(V,'SKOLEMAAAU15.$ki_world'(V,Y,U))
| ~ $ki_accessible(V,W)
| qmltpeq(W,union(Y,U),U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_union) ).
tff(32,axiom,
! [X: $ki_world,Y: $i,Z: $ki_world,U: $i,V: $ki_world,W: $ki_world] :
( ~ $ki_accessible($ki_local_world,X)
| ~ '$ki_exists_in_world_$i'(X,Y)
| ~ $ki_accessible(X,Z)
| ~ '$ki_exists_in_world_$i'(Z,U)
| ~ $ki_accessible(Z,V)
| ~ subset('SKOLEMAAAU15.$ki_world'(V,Y,U),Y,U)
| ~ $ki_accessible(V,W)
| qmltpeq(W,union(Y,U),U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_union) ).
tff(58,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)
| subset(Z,Y,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_subset) ).
tff(85,negated_conjecture,
$ki_accessible($ki_local_world,'SKOLEMAAAU37.$ki_world'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(86,negated_conjecture,
'$ki_exists_in_world_$i'('SKOLEMAAAU37.$ki_world','SKOLEMAAAU38.$i'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(87,negated_conjecture,
$ki_accessible('SKOLEMAAAU37.$ki_world','SKOLEMAAAU39.$ki_world'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(88,negated_conjecture,
~ qmltpeq('SKOLEMAAAU39.$ki_world',union('SKOLEMAAAU38.$i','SKOLEMAAAU38.$i'),'SKOLEMAAAU38.$i'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(193,plain,
$ki_accessible('SKOLEMAAAU37.$ki_world','SKOLEMAAAU15.$ki_world'('SKOLEMAAAU37.$ki_world','SKOLEMAAAU38.$i','SKOLEMAAAU38.$i')),
inference('UR-RESOLVE',[status(thm)],[31,85,86,1,86,1,87,88]) ).
tff(276,plain,
~ subset('SKOLEMAAAU15.$ki_world'('SKOLEMAAAU37.$ki_world','SKOLEMAAAU38.$i','SKOLEMAAAU38.$i'),'SKOLEMAAAU38.$i','SKOLEMAAAU38.$i'),
inference('UR-RESOLVE',[status(thm)],[32,85,86,1,86,1,87,88]) ).
cnf(2149,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[58,193,85,86]),276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL947_10 : TPTP v8.2.0. Released v8.2.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n007.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 11:46:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2023-05-22T11:46:26
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2023-05-22T11:46:26
% 3.82/4.00
% 3.82/4.00
% 3.82/4.00 #||
% 3.82/4.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.82/4.00 % SZS output start Refutation
% See solution above
% 3.82/4.01 ||#
% 3.82/4.01
% 3.82/4.01 ; Summary of computation:
% 3.82/4.01 ; 3615 formulas have been input or derived (from 104 formulas).
% 3.82/4.01 ; 2149 (59%) were retained. Of these,
% 3.82/4.01 ; 28 ( 1%) were simplified or subsumed later,
% 3.82/4.01 ; 2121 (99%) are still being kept.
% 3.82/4.01 ;
% 3.82/4.01 ; Run time in seconds excluding printing time:
% 3.82/4.01 ; 0.020 1% Read assertion file (1 call)
% 3.82/4.01 ; 0.008 0% Assert (20 calls)
% 3.82/4.01 ; 0.166 5% Process new row (2,667 calls)
% 3.82/4.01 ; 2.915 83% Resolution (206 calls)
% 3.82/4.01 ; 0.000 0% Paramodulation (103 calls)
% 3.82/4.01 ; 0.005 0% Condensing (2,147 calls)
% 3.82/4.01 ; 0.225 6% Forward subsumption (2,147 calls)
% 3.82/4.01 ; 0.064 2% Backward subsumption (2,086 calls)
% 3.82/4.01 ; 0.004 0% Clause clause subsumption (2,907 calls)
% 3.82/4.01 ; 0.080 2% Forward simplification (2,667 calls)
% 3.82/4.01 ; 0.004 0% Backward simplification (2,149 calls)
% 3.82/4.01 ; 0.008 0% Ordering (5,322 calls)
% 3.82/4.01 ; 0.001 0% Sortal reasoning (33 calls)
% 3.82/4.01 ; 0.001 0% Purity testing (1 call)
% 3.82/4.01 ; 0.030 1% Other
% 3.82/4.01 ; 3.531 Total
% 3.82/4.01 ; 3.533 Real time
% 3.82/4.01 ;
% 3.82/4.01 ; Term-hash-array has 2,355 terms in all.
% 3.82/4.01 ; Feature-vector-row-index has 2,058 entries (2,058 at peak, 2,086 added, 28 deleted).
% 3.82/4.01 ; Feature-vector-row-index has 12,143 nodes (12,143 at peak, 12,326 added, 183 deleted).
% 3.82/4.01 ; Retrieved 3,177 possibly forward subsuming rows in 2,147 calls.
% 3.82/4.01 ; Retrieved 635 possibly backward subsumed rows in 2,086 calls.
% 3.82/4.01 ; Path-index has 2,314 entries (2,314 at peak, 2,359 added, 45 deleted).
% 3.82/4.01 ; Path-index has 3,263 nodes (3,263 at peak, 3,313 added, 50 deleted).
% 3.82/4.01 ; Trie-index has 2,314 entries (2,314 at peak, 2,359 added, 45 deleted).
% 3.82/4.01 ; Trie-index has 7,371 nodes (7,371 at peak, 7,495 added, 124 deleted).
% 3.82/4.01 ; Retrieved 4,375 generalization terms in 6,453 calls.
% 3.82/4.01 ; Retrieved 62 instance terms in 62 calls.
% 3.82/4.01 ; Retrieved 8,155,954 unifiable terms in 233,169 calls.
% 3.82/4.01 ;
% 3.82/4.01 ; The agenda of rows to process has 922 entries:
% 3.82/4.01 ; 3 with value 11 67 with value 33 12 with value 52
% 3.82/4.01 ; 4 with value 13 35 with value 34 33 with value 53
% 3.82/4.01 ; 1 with value 15 65 with value 35 6 with value 54
% 3.82/4.01 ; 6 with value 18 8 with value 36 20 with value 55
% 3.82/4.01 ; 4 with value 19 19 with value 37 1 with value 56
% 3.82/4.01 ; 5 with value 20 10 with value 38 8 with value 57
% 3.82/4.01 ; 3 with value 21 24 with value 39 10 with value 59
% 3.82/4.01 ; 19 with value 22 19 with value 40 8 with value 60
% 3.82/4.01 ; 8 with value 23 31 with value 41 3 with value 61
% 3.82/4.01 ; 21 with value 24 12 with value 42 8 with value 62
% 3.82/4.01 ; 11 with value 25 30 with value 43 4 with value 70
% 3.82/4.01 ; 34 with value 26 11 with value 44 2 with value 71
% 3.82/4.01 ; 22 with value 27 44 with value 45 6 with value 75
% 3.82/4.01 ; 37 with value 28 4 with value 46 1 with value 76
% 3.82/4.01 ; 35 with value 29 43 with value 47 2 with value 77
% 3.82/4.01 ; 42 with value 30 6 with value 48 2 with value 80
% 3.82/4.01 ; 42 with value 31 15 with value 49 1 with value 82
% 3.82/4.01 ; 45 with value 32 10 with value 51
% 3.82/4.01 ; The agenda of rows to give has 2017 entries:
% 3.82/4.01 ; 11 with value (4 10) 227 with value (4 29) 5 with value (4 46)
% 3.82/4.01 ; 2 with value (4 11) 48 with value (4 30) 57 with value (4 47)
% 3.82/4.01 ; 5 with value (4 13) 157 with value (4 31) 2 with value (4 48)
% 3.82/4.01 ; 8 with value (4 14) 66 with value (4 32) 23 with value (4 49)
% 3.82/4.01 ; 3 with value (4 15) 101 with value (4 33) 2 with value (4 51)
% 3.82/4.01 ; 7 with value (4 16) 28 with value (4 34) 4 with value (4 52)
% 3.82/4.01 ; 9 with value (4 17) 117 with value (4 35) 11 with value (4 53)
% 3.82/4.01 ; 53 with value (4 18) 46 with value (4 36) 2 with value (4 54)
% 3.82/4.01 ; 15 with value (4 19) 36 with value (4 37) 27 with value (4 55)
% 3.82/4.01 ; 38 with value (4 20) 25 with value (4 38) 8 with value (4 57)
% 3.82/4.01 ; 22 with value (4 21) 32 with value (4 39) 9 with value (4 59)
% 3.82/4.01 ; 134 with value (4 22) 18 with value (4 40) 3 with value (4 61)
% 3.82/4.01 ; 46 with value (4 23) 64 with value (4 41) 8 with value (4 62)
% 3.82/4.01 ; 93 with value (4 24) 14 with value (4 42) 4 with value (4 75)
% 3.82/4.01 ; 79 with value (4 25) 28 with value (4 43) 2 with value (4 77)
% 3.82/4.01 ; 137 with value (4 26) 14 with value (4 44) 2 with value (4 80)
% 3.82/4.01 ; 50 with value (4 27) 44 with value (4 45) 1 with value (4 82)
% 3.82/4.01 ; 70 with value (4 28)
% 3.82/4.01 Evaluation took:
% 3.82/4.01 3.534 seconds of real time
% 3.82/4.01 3.460938 seconds of user run time
% 3.82/4.01 0.073193 seconds of system run time
% 3.82/4.01 [Run times include 0.105 seconds GC run time.]
% 3.82/4.01 0 calls to %EVAL
% 3.82/4.01 0 page faults and
% 3.82/4.01 217,486,760 bytes consed.
% 3.82/4.01 :PROOF-FOUND
% 3.82/4.01 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2023-05-22T11:46:29
% 3.82/4.01 :PROOF-FOUND
% 3.82/4.01 *
%------------------------------------------------------------------------------