TSTP Solution File: NLP266_23 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NLP266_23 : 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 15:39:57 EDT 2023
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 10 ( 6 avg)
% Number of connectives : 79 ( 41 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 69 ( 69 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 16 usr; 7 prp; 0-4 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 50 ( 0 sgn; 50 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
! [X: $ki_world,Y: $ki_world] : $ki_accessible(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal) ).
tff(2,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(3,axiom,
! [X: $ki_world,Y: $ki_world] :
( ~ $ki_accessible($ki_local_world,X)
| ~ $ki_accessible(X,Y)
| userid(Y,u,'SKOLEMAAAV2.$i'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(4,plain,
! [X: $ki_world,Y: $ki_world] : userid(X,u,'SKOLEMAAAV2.$i'(Y)),
inference('REWRITE',[status(thm)],[3,1]) ).
tff(5,axiom,
! [X: $ki_world,Y: $ki_world] :
( ~ $ki_accessible($ki_local_world,X)
| ~ $ki_accessible(X,Y)
| string(Y,'SKOLEMAAAV2.$i'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(6,plain,
! [X: $ki_world,Y: $ki_world] : string(X,'SKOLEMAAAV2.$i'(Y)),
inference('REWRITE',[status(thm)],[5,1]) ).
tff(7,axiom,
! [X: $ki_world] :
( ~ $ki_accessible($ki_local_world,X)
| entry_box(X,'SKOLEMAAAV3.$i') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(8,plain,
! [X: $ki_world] : entry_box(X,'SKOLEMAAAV3.$i'),
inference('REWRITE',[status(thm)],[7,1]) ).
tff(9,axiom,
! [X: $ki_world] :
( ~ $ki_accessible($ki_local_world,X)
| number(X,'SKOLEMAAAV3.$i',one) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(10,plain,
! [X: $ki_world] : number(X,'SKOLEMAAAV3.$i',one),
inference('REWRITE',[status(thm)],[9,1]) ).
tff(11,axiom,
! [X: $ki_world,Y: $i,Z: $i,U: $i,V: $ki_world,W: $i] :
( ~ $ki_accessible($ki_local_world,X)
| ~ '$ki_exists_in_world_$i'(X,Y)
| ~ '$ki_exists_in_world_$i'(X,Z)
| ~ '$ki_exists_in_world_$i'(X,U)
| ~ string(X,Z)
| ~ entry_box(X,U)
| ~ $ki_accessible(X,V)
| ~ '$ki_exists_in_world_$i'(V,W)
| ~ do(V,Y,'SKOLEMAAAV4.$i'(X,Y,Z,U),W)
| in(V,Z,U,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
tff(12,plain,
! [X: $ki_world,Y: $i,Z: $i,U: $ki_world,V: $i,W: $i] :
( ~ string(X,Y)
| ~ entry_box(X,Z)
| ~ do(U,V,'SKOLEMAAAV4.$i'(X,V,Y,Z),W)
| in(U,Y,Z,W) ),
inference('REWRITE',[status(thm)],[11,2,1]) ).
tff(13,negated_conjecture,
! [X: $i,Y: $i,Z: $i,U: $i] :
( ~ '$ki_exists_in_world_$i'('SKOLEMAAAV5.$ki_world',X)
| ~ '$ki_exists_in_world_$i'('SKOLEMAAAV5.$ki_world',Y)
| ~ '$ki_exists_in_world_$i'('SKOLEMAAAV5.$ki_world',Z)
| ~ '$ki_exists_in_world_$i'('SKOLEMAAAV5.$ki_world',U)
| ~ userid('SKOLEMAAAV6.$ki_world'(X,Y),u,X)
| ~ entry_box('SKOLEMAAAV6.$ki_world'(X,Y),Y)
| ~ number('SKOLEMAAAV6.$ki_world'(X,Y),Y,one)
| do('SKOLEMAAAV7.$ki_world'(U,Z,X,Y),U,Z,'SKOLEMAAAV8.$i'(U,Z,X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(14,plain,
! [X: $i,Y: $i,Z: $i,U: $i] :
( ~ userid('SKOLEMAAAV6.$ki_world'(X,Y),u,X)
| ~ entry_box('SKOLEMAAAV6.$ki_world'(X,Y),Y)
| ~ number('SKOLEMAAAV6.$ki_world'(X,Y),Y,one)
| do('SKOLEMAAAV7.$ki_world'(Z,U,X,Y),Z,U,'SKOLEMAAAV8.$i'(Z,U,X,Y)) ),
inference('REWRITE',[status(thm)],[13,2]) ).
tff(15,negated_conjecture,
! [X: $i,Y: $i,Z: $i,U: $i] :
( ~ '$ki_exists_in_world_$i'('SKOLEMAAAV5.$ki_world',X)
| ~ '$ki_exists_in_world_$i'('SKOLEMAAAV5.$ki_world',Y)
| ~ '$ki_exists_in_world_$i'('SKOLEMAAAV5.$ki_world',Z)
| ~ '$ki_exists_in_world_$i'('SKOLEMAAAV5.$ki_world',U)
| ~ userid('SKOLEMAAAV6.$ki_world'(X,Y),u,X)
| ~ entry_box('SKOLEMAAAV6.$ki_world'(X,Y),Y)
| ~ number('SKOLEMAAAV6.$ki_world'(X,Y),Y,one)
| ~ in('SKOLEMAAAV7.$ki_world'(U,Z,X,Y),X,Y,'SKOLEMAAAV8.$i'(U,Z,X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(16,plain,
! [X: $i,Y: $i,Z: $i,U: $i] :
( ~ userid('SKOLEMAAAV6.$ki_world'(X,Y),u,X)
| ~ entry_box('SKOLEMAAAV6.$ki_world'(X,Y),Y)
| ~ number('SKOLEMAAAV6.$ki_world'(X,Y),Y,one)
| ~ in('SKOLEMAAAV7.$ki_world'(Z,U,X,Y),X,Y,'SKOLEMAAAV8.$i'(Z,U,X,Y)) ),
inference('REWRITE',[status(thm)],[15,2]) ).
tff(17,plain,
! [X: $i,Y: $i,Z: $ki_world] : do('SKOLEMAAAV7.$ki_world'(X,Y,'SKOLEMAAAV2.$i'(Z),'SKOLEMAAAV3.$i'),X,Y,'SKOLEMAAAV8.$i'(X,Y,'SKOLEMAAAV2.$i'(Z),'SKOLEMAAAV3.$i')),
inference('HYPERRESOLVE',[status(thm)],[14,4,8,10]) ).
tff(18,plain,
! [X: $i,Y: $i,Z: $ki_world] : ~ in('SKOLEMAAAV7.$ki_world'(X,Y,'SKOLEMAAAV2.$i'(Z),'SKOLEMAAAV3.$i'),'SKOLEMAAAV2.$i'(Z),'SKOLEMAAAV3.$i','SKOLEMAAAV8.$i'(X,Y,'SKOLEMAAAV2.$i'(Z),'SKOLEMAAAV3.$i')),
inference('UR-RESOLVE',[status(thm)],[16,4,8,10]) ).
cnf(20,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[12,18,6,8,17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NLP266_23 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 22 12:03:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 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 2023-05-22T12:03:53
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2023-05-22T12:03:53
% 0.21/0.52
% 0.21/0.52
% 0.21/0.52 #||
% 0.21/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52 % SZS output start Refutation
% See solution above
% 0.36/0.52 ||#
% 0.36/0.52
% 0.36/0.52 ; Summary of computation:
% 0.36/0.52 ; 36 formulas have been input or derived (from 12 formulas).
% 0.36/0.52 ; 20 (56%) were retained. Of these,
% 0.36/0.52 ; 7 (35%) were simplified or subsumed later,
% 0.36/0.52 ; 13 (65%) are still being kept.
% 0.36/0.52 ;
% 0.36/0.52 ; Run time in seconds excluding printing time:
% 0.36/0.52 ; 0.005 15% Read assertion file (1 call)
% 0.36/0.52 ; 0.001 3% Assert (7 calls)
% 0.36/0.52 ; 0.003 9% Process new row (24 calls)
% 0.36/0.52 ; 0.000 0% Resolution (22 calls)
% 0.36/0.52 ; 0.000 0% Paramodulation (11 calls)
% 0.36/0.52 ; 0.000 0% Condensing (3 calls)
% 0.36/0.52 ; 0.000 0% Forward subsumption (3 calls)
% 0.36/0.52 ; 0.000 0% Backward subsumption (3 calls)
% 0.36/0.52 ; 0.000 0% Forward simplification (24 calls)
% 0.36/0.52 ; 0.000 0% Backward simplification (13 calls)
% 0.36/0.52 ; 0.000 0% Sortal reasoning (33 calls)
% 0.36/0.52 ; 0.001 3% Purity testing (1 call)
% 0.36/0.52 ; 0.023 70% Other
% 0.36/0.52 ; 0.033 Total
% 0.36/0.52 ; 0.038 Real time
% 0.36/0.52 ;
% 0.36/0.52 ; Term-hash-array has 30 terms in all.
% 0.36/0.52 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.36/0.52 ; Feature-vector-row-index has 25 nodes (25 at peak, 25 added, 0 deleted).
% 0.36/0.52 ; Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.36/0.52 ; Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.36/0.52 ; Path-index has 35 entries (35 at peak, 35 added, 0 deleted).
% 0.36/0.52 ; Path-index has 222 nodes (222 at peak, 222 added, 0 deleted).
% 0.36/0.52 ; Trie-index has 35 entries (35 at peak, 35 added, 0 deleted).
% 0.36/0.52 ; Trie-index has 175 nodes (175 at peak, 175 added, 0 deleted).
% 0.36/0.52 ; Retrieved 63 generalization terms in 79 calls.
% 0.36/0.52 ; Retrieved 9 instance terms in 9 calls.
% 0.36/0.52 ; Retrieved 81 unifiable terms in 98 calls.
% 0.36/0.52 ;
% 0.36/0.52 ; The agenda of rows to process has 3 entries:
% 0.36/0.52 ; 1 with value 6 1 with value 8 1 with value 25
% 0.36/0.52 ; The agenda of rows to give has 1 entry:
% 0.36/0.52 ; 1 with value (4 32)
% 0.36/0.52 Evaluation took:
% 0.36/0.52 0.038 seconds of real time
% 0.36/0.52 0.032572 seconds of user run time
% 0.36/0.52 0.005036 seconds of system run time
% 0.36/0.52 0 calls to %EVAL
% 0.36/0.52 0 page faults and
% 0.36/0.52 4,078,352 bytes consed.
% 0.36/0.52 :PROOF-FOUND
% 0.36/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2023-05-22T12:03:53
% 0.36/0.52 :PROOF-FOUND
% 0.36/0.52 *
%------------------------------------------------------------------------------