TSTP Solution File: GEO124-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO124-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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   : Unsatisfiable 0.91s 1.10s
% Output   : Refutation 0.91s
% 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(between_c_defn_1,axiom,
    ( ~ between_c(X,Y,Z,U)
    | Y != U ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_1) ).

cnf(between_o_defn_6,axiom,
    ( ~ ordered_by(X,Y,Z)
    | ~ ordered_by(X,Z,U)
    | between_o(X,U,Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',between_o_defn_6) ).

cnf(start_point_defn_7,axiom,
    ( ~ start_point(X,Y)
    | incident_o(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',start_point_defn_7) ).

cnf(start_point_defn_8,axiom,
    ( ~ start_point(X,Y)
    | X = Z
    | ~ incident_o(Z,Y)
    | ordered_by(Y,X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',start_point_defn_8) ).

cnf(o3_24,axiom,
    ( ~ between_o(X,Y,Z,U)
    | between_c(ax2_sk4(X,U,Z,Y),Y,Z,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',o3_24) ).

cnf(corollary_4_10_1_133,negated_conjecture,
    start_point(sk26,sk25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_1_133) ).

cnf(corollary_4_10_1_134,negated_conjecture,
    start_point(sk27,sk25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_1_134) ).

cnf(corollary_4_10_1_135,negated_conjecture,
    sk26 != sk27,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_1_135) ).

cnf(91,plain,
    incident_o(sk26,sk25),
    inference('HYPERRESOLVE',[status(thm)],[start_point_defn_7,corollary_4_10_1_133]) ).

cnf(92,plain,
    incident_o(sk27,sk25),
    inference('HYPERRESOLVE',[status(thm)],[start_point_defn_7,corollary_4_10_1_134]) ).

cnf(97,plain,
    ~ between_c(X,Y,Z,Y),
    inference('UR-RESOLVE',[status(thm)],[between_c_defn_1,theory(equality)]) ).

cnf(363,plain,
    ordered_by(sk25,sk27,sk26),
    inference('UR-RESOLVE',[status(thm)],[start_point_defn_8,91,corollary_4_10_1_134,corollary_4_10_1_135]) ).

cnf(368,plain,
    ordered_by(sk25,sk26,sk27),
    inference('UR-RESOLVE',[status(thm)],[start_point_defn_8,92,corollary_4_10_1_133,corollary_4_10_1_135]) ).

cnf(856,plain,
    ~ between_o(X,Y,Z,Y),
    inference('UR-RESOLVE',[status(thm)],[o3_24,97]) ).

cnf(857,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[between_o_defn_6,368,363]),856]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GEO124-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.14  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jun 18 02:03:18 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T02:03:18
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-18T02:03:18
% 0.91/1.10  
% 0.91/1.10  
% 0.91/1.10  #||
% 0.91/1.10  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.91/1.10  % SZS output start Refutation
% See solution above
% 0.91/1.10  ||#
% 0.91/1.10  
% 0.91/1.10  ; Summary of computation:
% 0.91/1.10  ;      1157 formulas have been input or derived (from 98 formulas).
% 0.91/1.10  ;       857 (74%) were retained.  Of these,
% 0.91/1.10  ;            6 ( 1%) were simplified or subsumed later,
% 0.91/1.10  ;          851 (99%) are still being kept.
% 0.91/1.10  ; 
% 0.91/1.10  ; Run time in seconds excluding printing time:
% 0.91/1.10  ;     0.022   4%   Read assertion file          (1 call)
% 0.91/1.10  ;     0.005   1%   Assert                       (99 calls)
% 0.91/1.10  ;     0.110  18%   Process new row              (1,112 calls)
% 0.91/1.10  ;     0.080  13%   Resolution                   (194 calls)
% 0.91/1.10  ;     0.001   0%   Paramodulation               (97 calls)
% 0.91/1.10  ;     0.000   0%   Factoring                    (7 calls)
% 0.91/1.10  ;     0.031   5%   Condensing                   (1,002 calls)
% 0.91/1.10  ;     0.118  19%   Forward subsumption          (1,002 calls)
% 0.91/1.10  ;     0.042   7%   Backward subsumption         (817 calls)
% 0.91/1.10  ;     0.096  15%   Clause clause subsumption    (16,531 calls)
% 0.91/1.10  ;     0.061  10%   Forward simplification       (1,112 calls)
% 0.91/1.10  ;     0.004   1%   Backward simplification      (857 calls)
% 0.91/1.10  ;     0.027   4%   Ordering                     (11,000 calls)
% 0.91/1.10  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.91/1.10  ;     0.000   0%   Purity testing               (1 call)
% 0.91/1.10  ;     0.027   4%   Other
% 0.91/1.10  ;     0.624        Total
% 0.91/1.10  ;     0.625        Real time
% 0.91/1.10  ; 
% 0.91/1.10  ; Term-hash-array has 1,904 terms in all.
% 0.91/1.10  ; Feature-vector-row-index has 811 entries (811 at peak, 817 added, 6 deleted).
% 0.91/1.10  ; Feature-vector-row-index has 1,084 nodes (1,084 at peak, 1,100 added, 16 deleted).
% 0.91/1.10  ;  Retrieved 15,086 possibly forward subsuming rows in 1,002 calls.
% 0.91/1.10  ;  Retrieved 4,764 possibly backward subsumed rows in 817 calls.
% 0.91/1.10  ; Path-index has 1,901 entries (1,901 at peak, 1,919 added, 18 deleted).
% 0.91/1.10  ; Path-index has 1,673 nodes (1,673 at peak, 1,690 added, 17 deleted).
% 0.91/1.10  ; Trie-index has 1,901 entries (1,901 at peak, 1,919 added, 18 deleted).
% 0.91/1.10  ; Trie-index has 4,309 nodes (4,309 at peak, 4,343 added, 34 deleted).
% 0.91/1.10  ; Retrieved 1,420 generalization terms in 8,463 calls.
% 0.91/1.10  ; Retrieved 67 instance terms in 39 calls.
% 0.91/1.10  ; Retrieved 42,995 unifiable terms in 1,202 calls.
% 0.91/1.10  ; 
% 0.91/1.10  ; The agenda of rows to process has 3 entries:
% 0.91/1.10  ;     3 with value 9
% 0.91/1.10  ; The agenda of rows to give has 753 entries:
% 0.91/1.10  ;     1 with value (4 7)           4 with value (4 47)          18 with value (4 90)
% 0.91/1.10  ;     6 with value (4 8)           8 with value (4 49)           2 with value (4 91)
% 0.91/1.10  ;     2 with value (4 9)           8 with value (4 50)          12 with value (4 92)
% 0.91/1.10  ;     6 with value (4 10)         10 with value (4 51)          25 with value (4 93)
% 0.91/1.10  ;     3 with value (4 11)          6 with value (4 52)          21 with value (4 94)
% 0.91/1.10  ;     3 with value (4 12)          5 with value (4 54)           8 with value (4 95)
% 0.91/1.10  ;     3 with value (4 13)          8 with value (4 55)           4 with value (4 96)
% 0.91/1.10  ;     2 with value (4 14)          6 with value (4 56)          13 with value (4 99)
% 0.91/1.10  ;     8 with value (4 15)          2 with value (4 61)           4 with value (4 100)
% 0.91/1.10  ;     3 with value (4 16)         34 with value (4 62)           4 with value (4 101)
% 0.91/1.10  ;     1 with value (4 17)         20 with value (4 63)           2 with value (4 102)
% 0.91/1.10  ;     3 with value (4 20)         16 with value (4 64)          35 with value (4 103)
% 0.91/1.10  ;     5 with value (4 21)         12 with value (4 65)           4 with value (4 107)
% 0.91/1.10  ;     6 with value (4 22)          2 with value (4 66)          18 with value (4 108)
% 0.91/1.10  ;     2 with value (4 23)          8 with value (4 67)          24 with value (4 109)
% 0.91/1.10  ;     4 with value (4 25)          4 with value (4 68)           8 with value (4 110)
% 0.91/1.10  ;     4 with value (4 26)         12 with value (4 69)           9 with value (4 115)
% 0.91/1.10  ;     6 with value (4 29)         12 with value (4 75)           4 with value (4 120)
% 0.91/1.10  ;     7 with value (4 31)         46 with value (4 76)           8 with value (4 121)
% 0.91/1.10  ;     6 with value (4 34)         12 with value (4 77)           1 with value (4 122)
% 0.91/1.10  ;     3 with value (4 36)         29 with value (4 78)           6 with value (4 123)
% 0.91/1.10  ;     4 with value (4 37)         21 with value (4 79)          12 with value (4 124)
% 0.91/1.10  ;     6 with value (4 38)          8 with value (4 80)           8 with value (4 125)
% 0.91/1.10  ;     5 with value (4 39)          8 with value (4 83)           1 with value (4 137)
% 0.91/1.10  ;    15 with value (4 40)         23 with value (4 84)           4 with value (4 138)
% 0.91/1.10  ;     6 with value (4 43)          4 with value (4 85)           4 with value (4 139)
% 0.91/1.10  ;    10 with value (4 46)         36 with value (4 89)
% 0.91/1.10  Evaluation took:
% 0.91/1.10    0.626 seconds of real time
% 0.91/1.10    0.570447 seconds of user run time
% 0.91/1.10    0.054732 seconds of system run time
% 0.91/1.10    [Run times include 0.024 seconds GC run time.]
% 0.91/1.10    0 calls to %EVAL
% 0.91/1.10    0 page faults and
% 0.91/1.10    52,488,272 bytes consed.
% 0.91/1.10  :PROOF-FOUND
% 0.91/1.10  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T02:03:18
% 0.91/1.10  :PROOF-FOUND
% 0.91/1.10  * 
%------------------------------------------------------------------------------