TSTP Solution File: GEO047-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO047-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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  : 600s
% DateTime : Sat Jul 16 06:13:26 EDT 2022

% Result   : Unsatisfiable 0.90s 1.08s
% Output   : Refutation 0.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   7 unt;   0 nHn;   9 RR)
%            Number of literals    :   12 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(t1,axiom,
    ( ~ between(X,Y,Z)
    | between(Z,Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).

cnf(b8,axiom,
    ( ~ between(X,Y,Z)
    | ~ between(Y,U,Z)
    | between(X,U,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b8) ).

cnf(v_between_u_and_w,hypothesis,
    between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).

cnf(w_between_u_and_x,hypothesis,
    between(u,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_x) ).

cnf(prove_v_between_u_and_x,negated_conjecture,
    ~ between(u,v,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_u_and_x) ).

cnf(60,plain,
    between(x,w,u),
    inference('HYPERRESOLVE',[status(thm)],[t1,w_between_u_and_x]) ).

cnf(61,plain,
    between(w,v,u),
    inference('HYPERRESOLVE',[status(thm)],[t1,v_between_u_and_w]) ).

cnf(62,plain,
    ~ between(x,v,u),
    inference('UR-RESOLVE',[status(thm)],[t1,prove_v_between_u_and_x]) ).

cnf(805,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[b8,61,60]),62]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO047-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n024.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  : 600
% 0.13/0.35  % DateTime : Sat Jun 18 11:35:47 EDT 2022
% 0.13/0.35  % 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 2022-06-18T11:35:47
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-18T11:35:47
% 0.20/0.50  
% 0.90/1.08  ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.90/1.08  
% 0.90/1.08  #||
% 0.90/1.08  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.90/1.08  % SZS output start Refutation
% See solution above
% 0.90/1.08  ||#
% 0.90/1.08  
% 0.90/1.08  ; Summary of computation:
% 0.90/1.08  ;      3971 formulas have been input or derived (from 62 formulas).
% 0.90/1.08  ;       805 (20%) were retained.  Of these,
% 0.90/1.08  ;           38 ( 5%) were simplified or subsumed later,
% 0.90/1.08  ;          767 (95%) are still being kept.
% 0.90/1.08  ; 
% 0.90/1.08  ; Run time in seconds:
% 0.90/1.08  ;     0.013   2%   Read assertion file          (1 call)
% 0.90/1.08  ;     0.001   0%   Assert                       (59 calls)
% 0.90/1.08  ;     0.048   8%   Process new row              (2,943 calls)
% 0.90/1.08  ;     0.426  71%   Resolution                   (122 calls)
% 0.90/1.08  ;     0.000   0%   Paramodulation               (61 calls)
% 0.90/1.08  ;     0.000   0%   Factoring                    (1 call)
% 0.90/1.08  ;     0.006   1%   Condensing                   (209 calls)
% 0.90/1.08  ;     0.014   2%   Forward subsumption          (209 calls)
% 0.90/1.08  ;     0.003   0%   Backward subsumption         (194 calls)
% 0.90/1.08  ;     0.002   0%   Clause clause subsumption    (1,304 calls)
% 0.90/1.08  ;     0.045   7%   Forward simplification       (2,943 calls)
% 0.90/1.08  ;     0.008   1%   Backward simplification      (804 calls)
% 0.90/1.08  ;     0.000   0%   Ordering                     (360 calls)
% 0.90/1.08  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.90/1.08  ;     0.000   0%   Purity testing               (1 call)
% 0.90/1.08  ;     0.035   6%   Other
% 0.90/1.08  ;     0.602        Total
% 0.90/1.08  ;     0.603        Real time
% 0.90/1.08  ; 
% 0.90/1.08  ; Term-hash-array has 1,390 terms in all.
% 0.90/1.08  ; Feature-vector-row-index has 188 entries (188 at peak, 194 added, 6 deleted).
% 0.90/1.08  ; Feature-vector-row-index has 647 nodes (647 at peak, 677 added, 30 deleted).
% 0.90/1.08  ;  Retrieved 1,022 possibly forward subsuming rows in 209 calls.
% 0.90/1.08  ;  Retrieved 313 possibly backward subsumed rows in 194 calls.
% 0.90/1.08  ; Path-index has 1,331 entries (1,331 at peak, 1,404 added, 73 deleted).
% 0.90/1.08  ; Path-index has 1,701 nodes (1,701 at peak, 1,820 added, 119 deleted).
% 0.90/1.08  ; Trie-index has 1,331 entries (1,331 at peak, 1,404 added, 73 deleted).
% 0.90/1.08  ; Trie-index has 7,106 nodes (7,106 at peak, 7,386 added, 280 deleted).
% 0.90/1.08  ; Retrieved 12,541 generalization terms in 6,270 calls.
% 0.90/1.08  ; Retrieved 1,036 instance terms in 609 calls.
% 0.90/1.08  ; Retrieved 921,454 unifiable terms in 24,575 calls.
% 0.90/1.08  ; 
% 0.90/1.08  ; The agenda of rows to process has 145 entries:
% 0.90/1.08  ;     9 with value 7              11 with value 15               2 with value 25
% 0.90/1.08  ;     1 with value 8               6 with value 16               1 with value 26
% 0.90/1.08  ;     3 with value 10             23 with value 17               1 with value 27
% 0.90/1.08  ;     4 with value 11              4 with value 18               1 with value 29
% 0.90/1.08  ;    10 with value 12              3 with value 20               3 with value 31
% 0.90/1.08  ;    38 with value 13             12 with value 22               1 with value 35
% 0.90/1.08  ;    12 with value 14
% 0.90/1.08  ; The agenda of rows to give has 705 entries:
% 0.90/1.08  ;    11 with value (4 6)          38 with value (4 20)           6 with value (4 34)
% 0.90/1.08  ;     4 with value (4 7)          36 with value (4 21)          11 with value (4 35)
% 0.90/1.08  ;     8 with value (4 8)          36 with value (4 22)           1 with value (4 36)
% 0.90/1.08  ;    11 with value (4 9)          19 with value (4 23)           1 with value (4 38)
% 0.90/1.08  ;    21 with value (4 10)          8 with value (4 24)           8 with value (4 39)
% 0.90/1.08  ;     3 with value (4 11)         28 with value (4 25)           1 with value (4 40)
% 0.90/1.08  ;    46 with value (4 12)         15 with value (4 26)           1 with value (4 41)
% 0.90/1.08  ;    75 with value (4 13)         12 with value (4 27)           1 with value (4 42)
% 0.90/1.08  ;    17 with value (4 14)          4 with value (4 28)           1 with value (4 43)
% 0.90/1.08  ;    26 with value (4 15)         11 with value (4 29)           2 with value (4 44)
% 0.90/1.08  ;    68 with value (4 16)          4 with value (4 30)           1 with value (4 47)
% 0.90/1.08  ;    33 with value (4 17)         20 with value (4 31)           1 with value (4 51)
% 0.90/1.08  ;    87 with value (4 18)          1 with value (4 32)           1 with value (4 52)
% 0.90/1.08  ;    19 with value (4 19)          8 with value (4 33)
% 0.90/1.08  Evaluation took:
% 0.90/1.08    0.604 seconds of real time
% 0.90/1.08    0.564365 seconds of user run time
% 0.90/1.08    0.039004 seconds of system run time
% 0.90/1.08    [Run times include 0.015 seconds GC run time.]
% 0.90/1.08    0 calls to %EVAL
% 0.90/1.08    0 page faults and
% 0.90/1.08    36,266,952 bytes consed.
% 0.90/1.08  :PROOF-FOUND
% 0.90/1.08  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T11:35:48
% 0.90/1.08  :PROOF-FOUND
% 0.90/1.08  * 
%------------------------------------------------------------------------------