TSTP Solution File: GEO118+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO118+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 06:14:02 EDT 2022

% Result   : Theorem 0.93s 1.11s
% Output   : Refutation 0.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   13 (   1 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-4 aty)
%            Number of variables   :   18 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(44,axiom,
    ( ~ between_c(X,Y,Z,U)
    | Y != U ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+1.ax',between_c_defn) ).

cnf(54,axiom,
    ( between_o(X,Y,Z,U)
    | ~ ordered_by(X,Y,Z)
    | ~ ordered_by(X,Z,U) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+2.ax',between_o_defn) ).

cnf(73,axiom,
    ( ~ between_o(X,Y,Z,U)
    | between_c('SKOLEMAAAV18'(X,Y,Z,U),Y,Z,U) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+2.ax',o3) ).

cnf(86,negated_conjecture,
    ordered_by('SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV27'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_5) ).

cnf(87,negated_conjecture,
    ordered_by('SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV26'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_5) ).

cnf(96,plain,
    ~ between_c(X,Y,Z,Y),
    inference('UR-RESOLVE',[status(thm)],[44,theory(equality)]) ).

cnf(102,plain,
    between_o('SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV27'),
    inference('HYPERRESOLVE',[status(thm)],[54,87,86]) ).

cnf(848,plain,
    ~ between_o(X,Y,Z,Y),
    inference('UR-RESOLVE',[status(thm)],[73,96]) ).

cnf(849,plain,
    $false,
    inference('REWRITE',[status(thm)],[102,848]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO118+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jun 18 03:01:28 EDT 2022
% 0.14/0.35  % 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 2022-06-18T03:01:28
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-18T03:01:28
% 0.21/0.51  WARNING: In quantification, variable ?P is being rebound.
% 0.21/0.51  WARNING: In quantification, variable ?P is being rebound.
% 0.93/1.11  
% 0.93/1.11  
% 0.93/1.11  #||
% 0.93/1.11  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.93/1.11  % SZS output start Refutation
% See solution above
% 0.93/1.12  ||#
% 0.93/1.12  
% 0.93/1.12  ; Summary of computation:
% 0.93/1.12  ;      1152 formulas have been input or derived (from 95 formulas).
% 0.93/1.12  ;       849 (74%) were retained.  Of these,
% 0.93/1.12  ;            8 ( 1%) were simplified or subsumed later,
% 0.93/1.12  ;          841 (99%) are still being kept.
% 0.93/1.12  ; 
% 0.93/1.12  ; Run time in seconds excluding printing time:
% 0.93/1.12  ;     0.010   2%   Read assertion file          (1 call)
% 0.93/1.12  ;     0.004   1%   Assert                       (28 calls)
% 0.93/1.12  ;     0.122  19%   Process new row              (1,116 calls)
% 0.93/1.12  ;     0.080  13%   Resolution                   (188 calls)
% 0.93/1.12  ;     0.000   0%   Paramodulation               (94 calls)
% 0.93/1.12  ;     0.000   0%   Factoring                    (7 calls)
% 0.93/1.12  ;     0.022   4%   Condensing                   (998 calls)
% 0.93/1.12  ;     0.151  24%   Forward subsumption          (998 calls)
% 0.93/1.12  ;     0.052   8%   Backward subsumption         (810 calls)
% 0.93/1.12  ;     0.084  13%   Clause clause subsumption    (16,508 calls)
% 0.93/1.12  ;     0.052   8%   Forward simplification       (1,116 calls)
% 0.93/1.12  ;     0.001   0%   Backward simplification      (849 calls)
% 0.93/1.12  ;     0.020   3%   Ordering                     (11,271 calls)
% 0.93/1.12  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.93/1.12  ;     0.000   0%   Purity testing               (1 call)
% 0.93/1.12  ;     0.029   5%   Other
% 0.93/1.12  ;     0.628        Total
% 0.93/1.12  ;     0.636        Real time
% 0.93/1.12  ; 
% 0.93/1.12  ; Term-hash-array has 1,892 terms in all.
% 0.93/1.12  ; Feature-vector-row-index has 804 entries (804 at peak, 810 added, 6 deleted).
% 0.93/1.12  ; Feature-vector-row-index has 1,068 nodes (1,068 at peak, 1,079 added, 11 deleted).
% 0.93/1.12  ;  Retrieved 15,084 possibly forward subsuming rows in 998 calls.
% 0.93/1.12  ;  Retrieved 4,758 possibly backward subsumed rows in 810 calls.
% 0.93/1.12  ; Path-index has 1,883 entries (1,885 at peak, 1,897 added, 14 deleted).
% 0.93/1.12  ; Path-index has 1,620 nodes (1,627 at peak, 1,632 added, 12 deleted).
% 0.93/1.12  ; Trie-index has 1,883 entries (1,885 at peak, 1,897 added, 14 deleted).
% 0.93/1.12  ; Trie-index has 4,268 nodes (4,275 at peak, 4,288 added, 20 deleted).
% 0.93/1.12  ; Retrieved 1,427 generalization terms in 5,702 calls.
% 0.93/1.12  ; Retrieved 66 instance terms in 38 calls.
% 0.93/1.12  ; Retrieved 40,819 unifiable terms in 1,082 calls.
% 0.93/1.12  ; 
% 0.93/1.12  ; The agenda of rows to give has 746 entries:
% 0.93/1.12  ;     1 with value (4 7)           8 with value (4 49)          18 with value (4 90)
% 0.93/1.12  ;     6 with value (4 8)           8 with value (4 50)           2 with value (4 91)
% 0.93/1.12  ;     3 with value (4 9)          10 with value (4 51)          12 with value (4 92)
% 0.93/1.12  ;     6 with value (4 10)          6 with value (4 52)          25 with value (4 93)
% 0.93/1.12  ;     3 with value (4 11)          5 with value (4 54)          21 with value (4 94)
% 0.93/1.12  ;     2 with value (4 12)          8 with value (4 55)           8 with value (4 95)
% 0.93/1.12  ;     5 with value (4 13)          6 with value (4 56)           4 with value (4 96)
% 0.93/1.12  ;     2 with value (4 14)          2 with value (4 61)          13 with value (4 99)
% 0.93/1.12  ;     6 with value (4 15)         34 with value (4 62)           4 with value (4 100)
% 0.93/1.12  ;     3 with value (4 16)         20 with value (4 63)           4 with value (4 101)
% 0.93/1.12  ;     1 with value (4 17)         16 with value (4 64)           2 with value (4 102)
% 0.93/1.12  ;     3 with value (4 20)         12 with value (4 65)          35 with value (4 103)
% 0.93/1.12  ;     5 with value (4 21)          2 with value (4 66)           4 with value (4 107)
% 0.93/1.12  ;     6 with value (4 22)          8 with value (4 67)          18 with value (4 108)
% 0.93/1.12  ;     4 with value (4 25)          4 with value (4 68)          24 with value (4 109)
% 0.93/1.12  ;     4 with value (4 26)         12 with value (4 69)           8 with value (4 110)
% 0.93/1.12  ;     4 with value (4 29)         12 with value (4 75)           9 with value (4 115)
% 0.93/1.12  ;     7 with value (4 31)         46 with value (4 76)           4 with value (4 120)
% 0.93/1.12  ;     6 with value (4 34)         12 with value (4 77)           8 with value (4 121)
% 0.93/1.12  ;     4 with value (4 37)         29 with value (4 78)           1 with value (4 122)
% 0.93/1.12  ;     6 with value (4 38)         21 with value (4 79)           6 with value (4 123)
% 0.93/1.12  ;     5 with value (4 39)          8 with value (4 80)          12 with value (4 124)
% 0.93/1.12  ;    15 with value (4 40)          8 with value (4 83)           8 with value (4 125)
% 0.93/1.12  ;     6 with value (4 43)         23 with value (4 84)           1 with value (4 137)
% 0.93/1.12  ;    10 with value (4 46)          4 with value (4 85)           4 with value (4 138)
% 0.93/1.12  ;     4 with value (4 47)         36 with value (4 89)           4 with value (4 139)
% 0.93/1.12  Evaluation took:
% 0.93/1.12    0.637 seconds of real time
% 0.93/1.12    0.590338 seconds of user run time
% 0.93/1.12    0.046947 seconds of system run time
% 0.93/1.12    [Run times include 0.032 seconds GC run time.]
% 0.93/1.12    0 calls to %EVAL
% 0.93/1.12    0 page faults and
% 0.93/1.12    50,826,576 bytes consed.
% 0.93/1.12  :PROOF-FOUND
% 0.93/1.12  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T03:01:28
% 0.93/1.12  :PROOF-FOUND
% 0.93/1.12  * 
%------------------------------------------------------------------------------