TSTP Solution File: GEO007-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO007-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 06:13:01 EDT 2022

% Result   : Unsatisfiable 3.05s 3.23s
% Output   : Refutation 3.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (  10 unt;   1 nHn;  12 RR)
%            Number of literals    :   17 (   2 equ;   8 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   :    7 (   0 sgn)

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

cnf(b13,axiom,
    ( ~ between(X,Y,Z)
    | ~ between(X,Y,U)
    | X = Y
    | between(Y,Z,U)
    | between(Y,U,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b13) ).

cnf(a_not_c,hypothesis,
    a != c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).

cnf(a_between_a_and_c,hypothesis,
    between(d,a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_between_a_and_c) ).

cnf(a_between_a_and_e,hypothesis,
    between(e,a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_between_a_and_e) ).

cnf(e_not_between_d_and_a,hypothesis,
    ~ between(d,e,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_not_between_d_and_a) ).

cnf(prove_d_between_e_and_a,negated_conjecture,
    ~ between(e,d,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d_between_e_and_a) ).

cnf(108,plain,
    between(c,a,d),
    inference('HYPERRESOLVE',[status(thm)],[t1,a_between_a_and_c]) ).

cnf(109,plain,
    between(c,a,e),
    inference('HYPERRESOLVE',[status(thm)],[t1,a_between_a_and_e]) ).

cnf(110,plain,
    ~ between(a,e,d),
    inference('UR-RESOLVE',[status(thm)],[t1,e_not_between_d_and_a]) ).

cnf(111,plain,
    ~ between(a,d,e),
    inference('UR-RESOLVE',[status(thm)],[t1,prove_d_between_e_and_a]) ).

cnf(1655,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[b13,109,108]),111,110,a_not_c]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO007-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 04:30:52 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-06-18T04:30:52
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-18T04:30:52
% 0.19/0.50  
% 3.05/3.23  ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 3.05/3.23  
% 3.05/3.23  #||
% 3.05/3.23  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.05/3.23  % SZS output start Refutation
% See solution above
% 3.05/3.23  ||#
% 3.05/3.23  
% 3.05/3.23  ; Summary of computation:
% 3.05/3.23  ;     12042 formulas have been input or derived (from 90 formulas).
% 3.05/3.23  ;      1655 (14%) were retained.  Of these,
% 3.05/3.23  ;           68 ( 4%) were simplified or subsumed later,
% 3.05/3.23  ;         1587 (96%) are still being kept.
% 3.05/3.23  ; 
% 3.05/3.23  ; Run time in seconds excluding printing time:
% 3.05/3.23  ;     0.019   1%   Read assertion file          (1 call)
% 3.05/3.23  ;     0.002   0%   Assert                       (83 calls)
% 3.05/3.23  ;     0.127   5%   Process new row              (8,421 calls)
% 3.05/3.23  ;     2.384  86%   Resolution                   (178 calls)
% 3.05/3.23  ;     0.001   0%   Paramodulation               (89 calls)
% 3.05/3.23  ;     0.000   0%   Factoring                    (1 call)
% 3.05/3.23  ;     0.003   0%   Condensing                   (317 calls)
% 3.05/3.23  ;     0.018   1%   Forward subsumption          (317 calls)
% 3.05/3.23  ;     0.006   0%   Backward subsumption         (288 calls)
% 3.05/3.23  ;     0.011   0%   Clause clause subsumption    (2,789 calls)
% 3.05/3.23  ;     0.109   4%   Forward simplification       (8,421 calls)
% 3.05/3.23  ;     0.015   1%   Backward simplification      (1,649 calls)
% 3.05/3.23  ;     0.003   0%   Ordering                     (601 calls)
% 3.05/3.23  ;     0.000   0%   Sortal reasoning             (32 calls)
% 3.05/3.23  ;     0.000   0%   Purity testing               (1 call)
% 3.05/3.23  ;     0.060   2%   Other
% 3.05/3.23  ;     2.758        Total
% 3.05/3.23  ;     2.760        Real time
% 3.05/3.23  ; 
% 3.05/3.23  ; Term-hash-array has 3,135 terms in all.
% 3.05/3.23  ; Feature-vector-row-index has 285 entries (285 at peak, 288 added, 3 deleted).
% 3.05/3.23  ; Feature-vector-row-index has 1,326 nodes (1,326 at peak, 1,329 added, 3 deleted).
% 3.05/3.23  ;  Retrieved 2,216 possibly forward subsuming rows in 317 calls.
% 3.05/3.23  ;  Retrieved 626 possibly backward subsumed rows in 288 calls.
% 3.05/3.23  ; Path-index has 3,030 entries (3,030 at peak, 3,158 added, 128 deleted).
% 3.05/3.23  ; Path-index has 3,380 nodes (3,380 at peak, 3,505 added, 125 deleted).
% 3.05/3.23  ; Trie-index has 3,030 entries (3,030 at peak, 3,158 added, 128 deleted).
% 3.05/3.23  ; Trie-index has 18,153 nodes (18,153 at peak, 18,615 added, 462 deleted).
% 3.05/3.23  ; Retrieved 50,107 generalization terms in 17,476 calls.
% 3.05/3.23  ; Retrieved 2,107 instance terms in 1,360 calls.
% 3.05/3.23  ; Retrieved 6,989,740 unifiable terms in 67,886 calls.
% 3.05/3.23  ; 
% 3.05/3.23  ; The agenda of rows to process has 210 entries:
% 3.05/3.23  ;    19 with value 16              6 with value 25               1 with value 42
% 3.05/3.23  ;    55 with value 17              5 with value 26               2 with value 46
% 3.05/3.23  ;    27 with value 18              3 with value 27               2 with value 48
% 3.05/3.23  ;    11 with value 19              3 with value 29               2 with value 52
% 3.05/3.23  ;     3 with value 20              1 with value 30               1 with value 54
% 3.05/3.23  ;     6 with value 21              7 with value 31               3 with value 58
% 3.05/3.23  ;    24 with value 22              1 with value 35               1 with value 66
% 3.05/3.23  ;     1 with value 23             22 with value 36               1 with value 70
% 3.05/3.23  ;     1 with value 24              1 with value 40               1 with value 78
% 3.05/3.23  ; The agenda of rows to give has 1497 entries:
% 3.05/3.23  ;    13 with value (4 6)          37 with value (4 30)           3 with value (4 55)
% 3.05/3.23  ;    26 with value (4 7)          21 with value (4 31)           1 with value (4 56)
% 3.05/3.23  ;    16 with value (4 8)          16 with value (4 32)          14 with value (4 57)
% 3.05/3.23  ;    27 with value (4 9)           9 with value (4 33)           3 with value (4 58)
% 3.05/3.23  ;    41 with value (4 10)         23 with value (4 34)           4 with value (4 59)
% 3.05/3.23  ;    54 with value (4 11)         46 with value (4 35)           3 with value (4 61)
% 3.05/3.23  ;   145 with value (4 12)         21 with value (4 36)           2 with value (4 63)
% 3.05/3.23  ;    93 with value (4 13)         12 with value (4 38)           5 with value (4 65)
% 3.05/3.23  ;    31 with value (4 14)          8 with value (4 39)           1 with value (4 66)
% 3.05/3.23  ;    75 with value (4 15)          3 with value (4 40)           1 with value (4 67)
% 3.05/3.23  ;    68 with value (4 16)          6 with value (4 41)           4 with value (4 69)
% 3.05/3.23  ;   130 with value (4 17)          4 with value (4 42)           1 with value (4 70)
% 3.05/3.23  ;    93 with value (4 18)          2 with value (4 43)           1 with value (4 71)
% 3.05/3.23  ;    53 with value (4 19)          3 with value (4 44)           1 with value (4 73)
% 3.05/3.23  ;    27 with value (4 20)          8 with value (4 45)           2 with value (4 75)
% 3.05/3.23  ;    72 with value (4 21)          4 with value (4 46)           5 with value (4 77)
% 3.05/3.23  ;    33 with value (4 22)         10 with value (4 47)           1 with value (4 78)
% 3.05/3.23  ;    33 with value (4 23)          4 with value (4 48)           1 with value (4 81)
% 3.05/3.23  ;    24 with value (4 24)          2 with value (4 49)           2 with value (4 85)
% 3.05/3.23  ;    42 with value (4 25)         11 with value (4 51)           1 with value (4 87)
% 3.05/3.23  ;    23 with value (4 26)          3 with value (4 52)           1 with value (4 91)
% 3.05/3.23  ;    13 with value (4 27)          7 with value (4 53)           1 with value (4 95)
% 3.05/3.23  ;    23 with value (4 28)          1 with value (4 54)           1 with value (4 111)
% 3.05/3.23  ;    22 with value (4 29)
% 3.05/3.23  Evaluation took:
% 3.05/3.23    2.76 seconds of real time
% 3.05/3.23    2.69137 seconds of user run time
% 3.05/3.23    0.069099 seconds of system run time
% 3.05/3.23    [Run times include 0.094 seconds GC run time.]
% 3.05/3.23    0 calls to %EVAL
% 3.05/3.23    0 page faults and
% 3.05/3.23    141,357,944 bytes consed.
% 3.05/3.23  :PROOF-FOUND
% 3.05/3.23  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T04:30:55
% 3.05/3.23  :PROOF-FOUND
% 3.05/3.23  * 
%------------------------------------------------------------------------------