TSTP Solution File: GEO051-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO051-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 06:13:28 EDT 2022

% Result   : Unsatisfiable 0.46s 0.61s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   8 unt;   1 nHn;  10 RR)
%            Number of literals    :   16 (   2 equ;   9 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(b5,axiom,
    ( ~ between(X,Y,Z)
    | ~ between(X,Z,U)
    | between(Y,Z,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).

cnf(b12,axiom,
    ( ~ between(X,Y,Z)
    | ~ between(X,Y,U)
    | X = Y
    | between(X,Z,U)
    | between(X,U,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b12) ).

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

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

cnf(u_not_v,hypothesis,
    u != v,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).

cnf(w_not_between_v_and_x,hypothesis,
    ~ between(v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_not_between_v_and_x) ).

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

cnf(187,plain,
    ~ between(u,x,w),
    inference('UR-RESOLVE',[status(thm)],[b5,v_between_u_and_x,prove_x_between_v_and_w]) ).

cnf(188,plain,
    ~ between(u,w,x),
    inference('UR-RESOLVE',[status(thm)],[b5,v_between_u_and_w,w_not_between_v_and_x]) ).

cnf(380,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[b12,v_between_u_and_x,v_between_u_and_w]),188,187,u_not_v]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GEO051-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun 18 10:07:17 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T10:07:17
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-18T10:07:17
% 0.20/0.49  
% 0.46/0.61  ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.46/0.61  
% 0.46/0.61  #||
% 0.46/0.61  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.61  % SZS output start Refutation
% See solution above
% 0.46/0.61  ||#
% 0.46/0.61  
% 0.46/0.61  ; Summary of computation:
% 0.46/0.61  ;      1526 formulas have been input or derived (from 60 formulas).
% 0.46/0.61  ;       380 (25%) were retained.  Of these,
% 0.46/0.61  ;           30 ( 8%) were simplified or subsumed later,
% 0.46/0.61  ;          350 (92%) are still being kept.
% 0.46/0.61  ; 
% 0.46/0.61  ; Run time in seconds:
% 0.46/0.61  ;     0.018  12%   Read assertion file          (1 call)
% 0.46/0.61  ;     0.002   1%   Assert                       (82 calls)
% 0.46/0.61  ;     0.019  13%   Process new row              (1,285 calls)
% 0.46/0.61  ;     0.047  31%   Resolution                   (118 calls)
% 0.46/0.61  ;     0.002   1%   Paramodulation               (59 calls)
% 0.46/0.61  ;     0.000   0%   Factoring                    (1 call)
% 0.46/0.61  ;     0.004   3%   Condensing                   (83 calls)
% 0.46/0.61  ;     0.001   1%   Forward subsumption          (83 calls)
% 0.46/0.61  ;     0.003   2%   Backward subsumption         (77 calls)
% 0.46/0.61  ;     0.004   3%   Clause clause subsumption    (282 calls)
% 0.46/0.61  ;     0.014   9%   Forward simplification       (1,285 calls)
% 0.46/0.61  ;     0.008   5%   Backward simplification      (374 calls)
% 0.46/0.61  ;     0.000   0%   Ordering                     (164 calls)
% 0.46/0.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.46/0.61  ;     0.000   0%   Purity testing               (1 call)
% 0.46/0.61  ;     0.028  19%   Other
% 0.46/0.61  ;     0.150        Total
% 0.46/0.61  ;     0.151        Real time
% 0.46/0.61  ; 
% 0.46/0.61  ; Term-hash-array has 623 terms in all.
% 0.46/0.61  ; Feature-vector-row-index has 76 entries (76 at peak, 77 added, 1 deleted).
% 0.46/0.61  ; Feature-vector-row-index has 218 nodes (218 at peak, 221 added, 3 deleted).
% 0.46/0.61  ;  Retrieved 165 possibly forward subsuming rows in 83 calls.
% 0.46/0.61  ;  Retrieved 123 possibly backward subsumed rows in 77 calls.
% 0.46/0.61  ; Path-index has 582 entries (582 at peak, 631 added, 49 deleted).
% 0.46/0.61  ; Path-index has 960 nodes (1,014 at peak, 1,039 added, 79 deleted).
% 0.46/0.61  ; Trie-index has 582 entries (582 at peak, 631 added, 49 deleted).
% 0.46/0.61  ; Trie-index has 1,920 nodes (1,920 at peak, 2,162 added, 242 deleted).
% 0.46/0.61  ; Retrieved 3,897 generalization terms in 2,325 calls.
% 0.46/0.61  ; Retrieved 757 instance terms in 296 calls.
% 0.46/0.61  ; Retrieved 48,696 unifiable terms in 2,319 calls.
% 0.46/0.61  ; 
% 0.46/0.61  ; The agenda of rows to process has 41 entries:
% 0.46/0.61  ;    18 with value 15              2 with value 24               2 with value 29
% 0.46/0.61  ;     1 with value 20              8 with value 25               1 with value 33
% 0.46/0.61  ;     8 with value 21              1 with value 28
% 0.46/0.61  ; The agenda of input rows to give has 17 entries:
% 0.46/0.61  ;     3 with value 25              1 with value 30               2 with value 40
% 0.46/0.61  ;     1 with value 26              1 with value 34               1 with value 44
% 0.46/0.61  ;     1 with value 27              1 with value 35               1 with value 49
% 0.46/0.61  ;     4 with value 28              1 with value 37
% 0.46/0.61  ; The agenda of rows to give has 273 entries:
% 0.46/0.61  ;     1 with value (4 5)          45 with value (4 12)          13 with value (4 19)
% 0.46/0.61  ;    25 with value (4 6)           6 with value (4 13)           6 with value (4 20)
% 0.46/0.61  ;    16 with value (4 7)          16 with value (4 14)           9 with value (4 21)
% 0.46/0.61  ;     8 with value (4 8)          17 with value (4 15)           7 with value (4 23)
% 0.46/0.61  ;    19 with value (4 9)           6 with value (4 16)           6 with value (4 25)
% 0.46/0.61  ;    19 with value (4 10)         19 with value (4 17)           4 with value (4 27)
% 0.46/0.61  ;    24 with value (4 11)          6 with value (4 18)           1 with value (4 29)
% 0.46/0.61  Evaluation took:
% 0.46/0.61    0.151 seconds of real time
% 0.46/0.61    0.135969 seconds of user run time
% 0.46/0.61    0.01562 seconds of system run time
% 0.46/0.61    0 calls to %EVAL
% 0.46/0.61    0 page faults and
% 0.46/0.61    8,426,552 bytes consed.
% 0.46/0.61  :PROOF-FOUND
% 0.46/0.61  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T10:07:17
% 0.46/0.61  :PROOF-FOUND
% 0.46/0.61  * 
%------------------------------------------------------------------------------