TSTP Solution File: GEO044-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO044-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 06:13:24 EDT 2022

% Result   : Unsatisfiable 16.37s 16.57s
% Output   : Refutation 16.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   12 (   9 unt;   1 nHn;   9 RR)
%            Number of literals    :   19 (   5 equ;   9 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-4 aty)
%            Number of variables   :   25 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(segment_construction1,axiom,
    between(X,Y,extension(X,Y,Z,U)),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).

cnf(segment_construction2,axiom,
    equidistant(X,extension(Y,X,Z,U),Z,U),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).

cnf(b0,axiom,
    ( X != extension(Y,Z,U,V)
    | between(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b0) ).

cnf(d9,axiom,
    ( ~ between(X,Y,Z)
    | ~ between(X,Y,U)
    | ~ equidistant(Y,Z,Y,U)
    | X = Y
    | Z = U ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9) ).

cnf(b5,axiom,
    ( ~ between(X,Y,Z)
    | ~ between(X,Z,U)
    | between(Y,Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b5) ).

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_w_between_u_and_x,negated_conjecture,
    ~ between(u,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_between_u_and_x) ).

cnf(84,plain,
    x != extension(u,w,X,Y),
    inference('UR-RESOLVE',[status(thm)],[b0,prove_w_between_u_and_x]) ).

cnf(116,plain,
    between(v,w,extension(u,w,X,Y)),
    inference('HYPERRESOLVE',[status(thm)],[b5,v_between_u_and_w,segment_construction1]) ).

cnf(6137,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[d9,84,w_between_v_and_x,segment_construction2,v_not_w]),116]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GEO044-3 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sat Jun 18 00:03:13 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.22/0.49  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50  * 
% 0.22/0.50  * 
% 0.22/0.51  #<PACKAGE "SNARK-USER">
% 0.22/0.51  * 
% 0.22/0.51  SNARK-TPTP-OPTIONS
% 0.22/0.51  * 
% 0.22/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51   (USE-FACTORING :POS)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51  * 
% 0.22/0.51  "."
% 0.22/0.51  * 
% 0.22/0.51  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T00:03:13
% 0.22/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-18T00:03:13
% 0.22/0.54  
% 16.37/16.57  ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 16.37/16.57  
% 16.37/16.57  #||
% 16.37/16.57  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.37/16.57  % SZS output start Refutation
% See solution above
% 16.37/16.57  ||#
% 16.37/16.57  
% 16.37/16.57  ; Summary of computation:
% 16.37/16.57  ;     33831 formulas have been input or derived (from 161 formulas).
% 16.37/16.57  ;      6137 (18%) were retained.  Of these,
% 16.37/16.57  ;          190 ( 3%) were simplified or subsumed later,
% 16.37/16.57  ;         5947 (97%) are still being kept.
% 16.37/16.57  ; 
% 16.37/16.57  ; Run time in seconds:
% 16.37/16.57  ;     0.012   0%   Read assertion file          (1 call)
% 16.37/16.57  ;     0.001   0%   Assert                       (57 calls)
% 16.37/16.57  ;     0.474   3%   Process new row              (29,114 calls)
% 16.37/16.57  ;    14.887  93%   Resolution                   (320 calls)
% 16.37/16.57  ;     0.001   0%   Paramodulation               (160 calls)
% 16.37/16.57  ;     0.000   0%   Factoring                    (1 call)
% 16.37/16.57  ;     0.004   0%   Condensing                   (269 calls)
% 16.37/16.57  ;     0.011   0%   Forward subsumption          (269 calls)
% 16.37/16.57  ;     0.006   0%   Backward subsumption         (238 calls)
% 16.37/16.57  ;     0.007   0%   Clause clause subsumption    (2,544 calls)
% 16.37/16.57  ;     0.442   3%   Forward simplification       (29,114 calls)
% 16.37/16.57  ;     0.085   1%   Backward simplification      (6,136 calls)
% 16.37/16.57  ;     0.003   0%   Ordering                     (913 calls)
% 16.37/16.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 16.37/16.57  ;     0.000   0%   Purity testing               (1 call)
% 16.37/16.57  ;     0.122   1%   Other
% 16.37/16.57  ;    16.055        Total
% 16.37/16.57  ;    16.058        Real time
% 16.37/16.57  ; 
% 16.37/16.57  ; Term-hash-array has 9,980 terms in all.
% 16.37/16.57  ; Feature-vector-row-index has 214 entries (214 at peak, 238 added, 24 deleted).
% 16.37/16.57  ; Feature-vector-row-index has 532 nodes (532 at peak, 669 added, 137 deleted).
% 16.37/16.57  ;  Retrieved 2,162 possibly forward subsuming rows in 269 calls.
% 16.37/16.57  ;  Retrieved 497 possibly backward subsumed rows in 238 calls.
% 16.37/16.57  ; Path-index has 9,735 entries (9,735 at peak, 10,024 added, 289 deleted).
% 16.37/16.57  ; Path-index has 4,678 nodes (4,678 at peak, 4,948 added, 270 deleted).
% 16.37/16.57  ; Trie-index has 9,735 entries (9,735 at peak, 10,024 added, 289 deleted).
% 16.37/16.57  ; Trie-index has 72,180 nodes (72,180 at peak, 73,497 added, 1,317 deleted).
% 16.37/16.57  ; Retrieved 194,975 generalization terms in 81,986 calls.
% 16.37/16.57  ; Retrieved 7,394 instance terms in 5,897 calls.
% 16.37/16.57  ; Retrieved 38,493,144 unifiable terms in 288,999 calls.
% 16.37/16.57  ; 
% 16.37/16.57  ; The agenda of rows to process has 335 entries:
% 16.37/16.57  ;     3 with value 13             10 with value 29               1 with value 44
% 16.37/16.57  ;     1 with value 14             15 with value 30               1 with value 45
% 16.37/16.57  ;     2 with value 15             19 with value 31               7 with value 46
% 16.37/16.57  ;     3 with value 16              2 with value 32               6 with value 47
% 16.37/16.57  ;    14 with value 17             17 with value 33               1 with value 48
% 16.37/16.57  ;     4 with value 18              5 with value 34               6 with value 50
% 16.37/16.57  ;     6 with value 19             22 with value 35               8 with value 52
% 16.37/16.57  ;    13 with value 20              5 with value 36               6 with value 54
% 16.37/16.57  ;     3 with value 21              7 with value 37              10 with value 56
% 16.37/16.57  ;    18 with value 22              1 with value 38               7 with value 58
% 16.37/16.57  ;    23 with value 24             13 with value 39               7 with value 60
% 16.37/16.57  ;     2 with value 25              3 with value 40               3 with value 62
% 16.37/16.57  ;    35 with value 26              3 with value 41               3 with value 64
% 16.37/16.57  ;     2 with value 27              2 with value 42               1 with value 68
% 16.37/16.57  ;     7 with value 28              8 with value 43
% 16.37/16.57  ; The agenda of rows to give has 5786 entries:
% 16.37/16.57  ;     1 with value (4 9)         371 with value (4 26)          80 with value (4 43)
% 16.37/16.57  ;    77 with value (4 10)        114 with value (4 27)           7 with value (4 44)
% 16.37/16.57  ;    92 with value (4 11)        384 with value (4 28)          56 with value (4 45)
% 16.37/16.57  ;   151 with value (4 12)         73 with value (4 29)          14 with value (4 46)
% 16.37/16.57  ;   195 with value (4 13)        196 with value (4 30)          98 with value (4 47)
% 16.37/16.57  ;    58 with value (4 14)         64 with value (4 31)           4 with value (4 48)
% 16.37/16.57  ;   128 with value (4 15)        256 with value (4 32)          23 with value (4 49)
% 16.37/16.57  ;   258 with value (4 16)         45 with value (4 33)           6 with value (4 50)
% 16.37/16.57  ;   128 with value (4 17)        139 with value (4 34)          73 with value (4 51)
% 16.37/16.57  ;   371 with value (4 18)         39 with value (4 35)           3 with value (4 52)
% 16.37/16.57  ;   320 with value (4 19)         33 with value (4 36)           1 with value (4 53)
% 16.37/16.57  ;   204 with value (4 20)         38 with value (4 37)           2 with value (4 54)
% 16.37/16.57  ;   326 with value (4 21)         17 with value (4 38)          22 with value (4 55)
% 16.37/16.57  ;   193 with value (4 22)         69 with value (4 39)           1 with value (4 56)
% 16.37/16.57  ;   427 with value (4 23)         18 with value (4 40)           1 with value (4 57)
% 16.37/16.57  ;   303 with value (4 24)         75 with value (4 41)           1 with value (4 60)
% 16.37/16.57  ;   216 with value (4 25)         14 with value (4 42)           1 with value (4 67)
% 16.37/16.57  Evaluation took:
% 16.37/16.57    16.059 seconds of real time
% 16.37/16.57    15.80087 seconds of user run time
% 16.37/16.57    0.255967 seconds of system run time
% 16.37/16.57    [Run times include 0.727 seconds GC run time.]
% 16.37/16.57    0 calls to %EVAL
% 16.37/16.57    0 page faults and
% 16.37/16.57    682,527,176 bytes consed.
% 16.37/16.57  :PROOF-FOUND
% 16.37/16.57  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T00:03:29
% 16.37/16.57  :PROOF-FOUND
% 16.37/16.57  * 
%------------------------------------------------------------------------------