TSTP Solution File: GEO045-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO045-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 06:13:25 EDT 2022

% Result   : Unsatisfiable 1.00s 1.15s
% Output   : Refutation 1.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   8 unt;   1 nHn;  10 RR)
%            Number of literals    :   14 (   2 equ;   6 neg)
%            Maximal clause size   :    4 (   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   :    7 (   0 sgn)

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

cnf(b6,axiom,
    ( ~ between(X,Y,Z)
    | ~ between(Y,Z,U)
    | between(X,Z,U)
    | Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b6) ).

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

cnf(w_between_v_and_x,hypothesis,
    between(v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_v_and_x) ).

cnf(v_not_w,hypothesis,
    v != w,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_not_w) ).

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

cnf(63,plain,
    between(x,w,v),
    inference('HYPERRESOLVE',[status(thm)],[t1,w_between_v_and_x]) ).

cnf(64,plain,
    between(w,v,u),
    inference('HYPERRESOLVE',[status(thm)],[t1,v_between_u_and_w]) ).

cnf(65,plain,
    ~ between(x,v,u),
    inference('UR-RESOLVE',[status(thm)],[t1,prove_v_between_u_and_x]) ).

cnf(913,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[b6,64,63,v_not_w]),65]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO045-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n025.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 14:56:28 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-06-18T14:56:28
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-18T14:56:28
% 0.20/0.49  
% 1.00/1.15  ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 1.00/1.15  
% 1.00/1.15  #||
% 1.00/1.15  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.00/1.15  % SZS output start Refutation
% See solution above
% 1.00/1.15  ||#
% 1.00/1.15  
% 1.00/1.15  ; Summary of computation:
% 1.00/1.15  ;      4224 formulas have been input or derived (from 63 formulas).
% 1.00/1.15  ;       913 (22%) were retained.  Of these,
% 1.00/1.15  ;           41 ( 4%) were simplified or subsumed later,
% 1.00/1.15  ;          872 (96%) are still being kept.
% 1.00/1.15  ; 
% 1.00/1.15  ; Run time in seconds excluding printing time:
% 1.00/1.15  ;     0.012   2%   Read assertion file          (1 call)
% 1.00/1.15  ;     0.002   0%   Assert                       (58 calls)
% 1.00/1.15  ;     0.057   8%   Process new row              (3,173 calls)
% 1.00/1.15  ;     0.500  73%   Resolution                   (124 calls)
% 1.00/1.15  ;     0.001   0%   Paramodulation               (62 calls)
% 1.00/1.15  ;     0.000   0%   Factoring                    (1 call)
% 1.00/1.15  ;     0.003   0%   Condensing                   (171 calls)
% 1.00/1.15  ;     0.013   2%   Forward subsumption          (171 calls)
% 1.00/1.15  ;     0.005   1%   Backward subsumption         (158 calls)
% 1.00/1.15  ;     0.006   1%   Clause clause subsumption    (997 calls)
% 1.00/1.15  ;     0.040   6%   Forward simplification       (3,173 calls)
% 1.00/1.15  ;     0.010   1%   Backward simplification      (912 calls)
% 1.00/1.15  ;     0.002   0%   Ordering                     (336 calls)
% 1.00/1.15  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.00/1.15  ;     0.000   0%   Purity testing               (1 call)
% 1.00/1.15  ;     0.034   5%   Other
% 1.00/1.15  ;     0.685        Total
% 1.00/1.15  ;     0.687        Real time
% 1.00/1.15  ; 
% 1.00/1.15  ; Term-hash-array has 1,576 terms in all.
% 1.00/1.15  ; Feature-vector-row-index has 153 entries (153 at peak, 158 added, 5 deleted).
% 1.00/1.15  ; Feature-vector-row-index has 513 nodes (513 at peak, 536 added, 23 deleted).
% 1.00/1.15  ;  Retrieved 823 possibly forward subsuming rows in 171 calls.
% 1.00/1.15  ;  Retrieved 199 possibly backward subsumed rows in 158 calls.
% 1.00/1.15  ; Path-index has 1,510 entries (1,510 at peak, 1,590 added, 80 deleted).
% 1.00/1.15  ; Path-index has 1,716 nodes (1,716 at peak, 1,843 added, 127 deleted).
% 1.00/1.15  ; Trie-index has 1,510 entries (1,510 at peak, 1,590 added, 80 deleted).
% 1.00/1.15  ; Trie-index has 8,186 nodes (8,186 at peak, 8,495 added, 309 deleted).
% 1.00/1.15  ; Retrieved 13,698 generalization terms in 6,829 calls.
% 1.00/1.15  ; Retrieved 1,192 instance terms in 753 calls.
% 1.00/1.15  ; Retrieved 1,123,662 unifiable terms in 26,279 calls.
% 1.00/1.15  ; 
% 1.00/1.15  ; The agenda of rows to process has 167 entries:
% 1.00/1.15  ;     1 with value 7               7 with value 15               3 with value 25
% 1.00/1.15  ;    12 with value 8               8 with value 16               1 with value 26
% 1.00/1.15  ;     3 with value 10             23 with value 17               2 with value 27
% 1.00/1.15  ;     4 with value 11             14 with value 18               1 with value 29
% 1.00/1.15  ;    10 with value 12              3 with value 20               4 with value 31
% 1.00/1.15  ;    49 with value 13             13 with value 22               1 with value 35
% 1.00/1.15  ;     7 with value 14              1 with value 23
% 1.00/1.15  ; The agenda of rows to give has 809 entries:
% 1.00/1.15  ;    13 with value (4 6)          38 with value (4 20)           8 with value (4 34)
% 1.00/1.15  ;     8 with value (4 7)          37 with value (4 21)          11 with value (4 35)
% 1.00/1.15  ;    10 with value (4 8)          38 with value (4 22)           1 with value (4 36)
% 1.00/1.15  ;    14 with value (4 9)          20 with value (4 23)           3 with value (4 38)
% 1.00/1.15  ;    23 with value (4 10)         14 with value (4 24)           8 with value (4 39)
% 1.00/1.15  ;     8 with value (4 11)         29 with value (4 25)           1 with value (4 40)
% 1.00/1.15  ;    66 with value (4 12)         17 with value (4 26)           1 with value (4 41)
% 1.00/1.15  ;    74 with value (4 13)         12 with value (4 27)           1 with value (4 42)
% 1.00/1.15  ;    16 with value (4 14)          6 with value (4 28)           1 with value (4 43)
% 1.00/1.15  ;    36 with value (4 15)         11 with value (4 29)           2 with value (4 44)
% 1.00/1.15  ;    62 with value (4 16)          9 with value (4 30)           1 with value (4 47)
% 1.00/1.15  ;    61 with value (4 17)         21 with value (4 31)           1 with value (4 51)
% 1.00/1.15  ;    90 with value (4 18)          3 with value (4 32)           1 with value (4 52)
% 1.00/1.15  ;    25 with value (4 19)          8 with value (4 33)
% 1.00/1.15  Evaluation took:
% 1.00/1.15    0.687 seconds of real time
% 1.00/1.15    0.662055 seconds of user run time
% 1.00/1.15    0.024958 seconds of system run time
% 1.00/1.15    [Run times include 0.022 seconds GC run time.]
% 1.00/1.15    0 calls to %EVAL
% 1.00/1.15    0 page faults and
% 1.00/1.15    39,552,000 bytes consed.
% 1.00/1.15  :PROOF-FOUND
% 1.00/1.15  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T14:56:29
% 1.00/1.15  :PROOF-FOUND
% 1.00/1.15  * 
%------------------------------------------------------------------------------