TSTP Solution File: GEO125+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO125+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 06:14:05 EDT 2022

% Result   : Theorem 0.92s 1.11s
% Output   : Refutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (  10 unt;   1 nHn;  15 RR)
%            Number of literals    :   23 (   3 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-4 aty)
%            Number of variables   :   23 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(44,axiom,
    ( ~ between_c(X,Y,Z,U)
    | Y != U ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO004+2.ax',between_o_defn) ).

cnf(61,axiom,
    ( ~ finish_point(X,Y)
    | incident_o(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax',finish_point_defn) ).

cnf(62,axiom,
    ( ~ finish_point(X,Y)
    | X = Z
    | ~ incident_o(Z,Y)
    | ordered_by(Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax',finish_point_defn) ).

cnf(73,axiom,
    ( ~ between_o(X,Y,Z,U)
    | between_c('SKOLEMAAAV18'(X,Y,Z,U),Y,Z,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax',o3) ).

cnf(86,negated_conjecture,
    finish_point('SKOLEMAAAV26','SKOLEMAAAV25'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_2) ).

cnf(87,negated_conjecture,
    finish_point('SKOLEMAAAV27','SKOLEMAAAV25'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_2) ).

cnf(88,negated_conjecture,
    'SKOLEMAAAV26' != 'SKOLEMAAAV27',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_2) ).

cnf(92,plain,
    incident_o('SKOLEMAAAV26','SKOLEMAAAV25'),
    inference('HYPERRESOLVE',[status(thm)],[61,86]) ).

cnf(93,plain,
    incident_o('SKOLEMAAAV27','SKOLEMAAAV25'),
    inference('HYPERRESOLVE',[status(thm)],[61,87]) ).

cnf(97,plain,
    ~ between_c(X,Y,Z,Y),
    inference('UR-RESOLVE',[status(thm)],[44,theory(equality)]) ).

cnf(363,plain,
    ordered_by('SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV27'),
    inference('UR-RESOLVE',[status(thm)],[62,92,87,88]) ).

cnf(368,plain,
    ordered_by('SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV26'),
    inference('UR-RESOLVE',[status(thm)],[62,93,86,88]) ).

cnf(849,plain,
    ~ between_o(X,Y,Z,Y),
    inference('UR-RESOLVE',[status(thm)],[73,97]) ).

cnf(850,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[54,368,363]),849]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : GEO125+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n009.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Fri Jun 17 20:45:08 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50  * 
% 0.21/0.50  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T20:45:08
% 0.21/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-17T20:45:08
% 0.21/0.53  WARNING: In quantification, variable ?P is being rebound.
% 0.21/0.53  WARNING: In quantification, variable ?P is being rebound.
% 0.92/1.11  
% 0.92/1.11  
% 0.92/1.11  #||
% 0.92/1.11  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.11  % SZS output start Refutation
% See solution above
% 0.92/1.11  ||#
% 0.92/1.11  
% 0.92/1.11  ; Summary of computation:
% 0.92/1.11  ;      1165 formulas have been input or derived (from 98 formulas).
% 0.92/1.11  ;       850 (73%) were retained.  Of these,
% 0.92/1.11  ;            6 ( 1%) were simplified or subsumed later,
% 0.92/1.11  ;          844 (99%) are still being kept.
% 0.92/1.11  ; 
% 0.92/1.11  ; Run time in seconds excluding printing time:
% 0.92/1.11  ;     0.010   2%   Read assertion file          (1 call)
% 0.92/1.11  ;     0.004   1%   Assert                       (28 calls)
% 0.92/1.11  ;     0.129  21%   Process new row              (1,123 calls)
% 0.92/1.11  ;     0.072  12%   Resolution                   (194 calls)
% 0.92/1.11  ;     0.001   0%   Paramodulation               (97 calls)
% 0.92/1.11  ;     0.001   0%   Factoring                    (7 calls)
% 0.92/1.11  ;     0.030   5%   Condensing                   (1,000 calls)
% 0.92/1.11  ;     0.114  19%   Forward subsumption          (1,000 calls)
% 0.92/1.11  ;     0.047   8%   Backward subsumption         (810 calls)
% 0.92/1.11  ;     0.090  15%   Clause clause subsumption    (16,510 calls)
% 0.92/1.11  ;     0.058  10%   Forward simplification       (1,123 calls)
% 0.92/1.11  ;     0.002   0%   Backward simplification      (850 calls)
% 0.92/1.11  ;     0.021   3%   Ordering                     (11,281 calls)
% 0.92/1.11  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.92/1.11  ;     0.000   0%   Purity testing               (1 call)
% 0.92/1.11  ;     0.025   4%   Other
% 0.92/1.11  ;     0.604        Total
% 0.92/1.11  ;     0.605        Real time
% 0.92/1.11  ; 
% 0.92/1.11  ; Term-hash-array has 1,894 terms in all.
% 0.92/1.11  ; Feature-vector-row-index has 804 entries (804 at peak, 810 added, 6 deleted).
% 0.92/1.11  ; Feature-vector-row-index has 1,068 nodes (1,068 at peak, 1,079 added, 11 deleted).
% 0.92/1.11  ;  Retrieved 15,086 possibly forward subsuming rows in 1,000 calls.
% 0.92/1.11  ;  Retrieved 4,758 possibly backward subsumed rows in 810 calls.
% 0.92/1.11  ; Path-index has 1,887 entries (1,887 at peak, 1,899 added, 12 deleted).
% 0.92/1.11  ; Path-index has 1,623 nodes (1,623 at peak, 1,628 added, 5 deleted).
% 0.92/1.11  ; Trie-index has 1,887 entries (1,887 at peak, 1,899 added, 12 deleted).
% 0.92/1.11  ; Trie-index has 4,278 nodes (4,278 at peak, 4,291 added, 13 deleted).
% 0.92/1.11  ; Retrieved 1,432 generalization terms in 8,492 calls.
% 0.92/1.11  ; Retrieved 65 instance terms in 39 calls.
% 0.92/1.11  ; Retrieved 41,675 unifiable terms in 1,181 calls.
% 0.92/1.11  ; 
% 0.92/1.11  ; The agenda of rows to process has 3 entries:
% 0.92/1.11  ;     3 with value 9
% 0.92/1.11  ; The agenda of rows to give has 746 entries:
% 0.92/1.11  ;     1 with value (4 7)           8 with value (4 49)          18 with value (4 90)
% 0.92/1.11  ;     6 with value (4 8)           8 with value (4 50)           2 with value (4 91)
% 0.92/1.11  ;     3 with value (4 9)          10 with value (4 51)          12 with value (4 92)
% 0.92/1.11  ;     6 with value (4 10)          6 with value (4 52)          25 with value (4 93)
% 0.92/1.11  ;     3 with value (4 11)          5 with value (4 54)          21 with value (4 94)
% 0.92/1.11  ;     2 with value (4 12)          8 with value (4 55)           8 with value (4 95)
% 0.92/1.11  ;     3 with value (4 13)          6 with value (4 56)           4 with value (4 96)
% 0.92/1.11  ;     2 with value (4 14)          2 with value (4 61)          13 with value (4 99)
% 0.92/1.11  ;     6 with value (4 15)         34 with value (4 62)           4 with value (4 100)
% 0.92/1.11  ;     3 with value (4 16)         20 with value (4 63)           4 with value (4 101)
% 0.92/1.11  ;     1 with value (4 17)         16 with value (4 64)           2 with value (4 102)
% 0.92/1.11  ;     3 with value (4 20)         12 with value (4 65)          35 with value (4 103)
% 0.92/1.11  ;     5 with value (4 21)          2 with value (4 66)           4 with value (4 107)
% 0.92/1.11  ;     6 with value (4 22)          8 with value (4 67)          18 with value (4 108)
% 0.92/1.11  ;     4 with value (4 25)          4 with value (4 68)          24 with value (4 109)
% 0.92/1.11  ;     4 with value (4 26)         12 with value (4 69)           8 with value (4 110)
% 0.92/1.11  ;     6 with value (4 29)         12 with value (4 75)           9 with value (4 115)
% 0.92/1.11  ;     7 with value (4 31)         46 with value (4 76)           4 with value (4 120)
% 0.92/1.11  ;     6 with value (4 34)         12 with value (4 77)           8 with value (4 121)
% 0.92/1.11  ;     4 with value (4 37)         29 with value (4 78)           1 with value (4 122)
% 0.92/1.11  ;     6 with value (4 38)         21 with value (4 79)           6 with value (4 123)
% 0.92/1.11  ;     5 with value (4 39)          8 with value (4 80)          12 with value (4 124)
% 0.92/1.11  ;    15 with value (4 40)          8 with value (4 83)           8 with value (4 125)
% 0.92/1.11  ;     6 with value (4 43)         23 with value (4 84)           1 with value (4 137)
% 0.92/1.11  ;    10 with value (4 46)          4 with value (4 85)           4 with value (4 138)
% 0.92/1.11  ;     4 with value (4 47)         36 with value (4 89)           4 with value (4 139)
% 0.92/1.11  Evaluation took:
% 0.92/1.11    0.606 seconds of real time
% 0.92/1.11    0.559733 seconds of user run time
% 0.92/1.11    0.045985 seconds of system run time
% 0.92/1.11    [Run times include 0.028 seconds GC run time.]
% 0.92/1.11    0 calls to %EVAL
% 0.92/1.11    0 page faults and
% 0.92/1.11    51,927,448 bytes consed.
% 0.92/1.11  :PROOF-FOUND
% 0.92/1.11  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T20:45:08
% 0.92/1.11  :PROOF-FOUND
% 0.92/1.11  * 
%------------------------------------------------------------------------------