TSTP Solution File: GEO062-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO062-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 06:13:34 EDT 2022

% Result   : Unsatisfiable 42.14s 42.34s
% Output   : Refutation 42.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   13 (  10 unt;   1 nHn;  10 RR)
%            Number of literals    :   18 (   6 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-4 aty)
%            Number of variables   :   22 (   5 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(insertion,axiom,
    insertion(X,Y,Z,U) = extension(extension(Y,X,lower_dimension_point_1,lower_dimension_point_2),X,Z,U),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-3.ax',insertion) ).

cnf(d10_1,axiom,
    ( ~ between(X,Y,Z)
    | X = Y
    | Z = extension(X,Y,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_1) ).

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

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

cnf(e3_1,axiom,
    X != extension(Y,X,lower_dimension_point_1,lower_dimension_point_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e3_1) ).

cnf(v_between_u_and_w,hypothesis,
    between(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).

cnf(prove_v_equals_insertion,negated_conjecture,
    v != insertion(u,w,u,v),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_equals_insertion) ).

cnf(76,plain,
    v != extension(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u,u,v),
    inference('REWRITE',[status(thm)],[prove_v_equals_insertion,insertion,theory(equality)]) ).

cnf(95,plain,
    between(w,v,u),
    inference('HYPERRESOLVE',[status(thm)],[t1,v_between_u_and_w]) ).

cnf(198,plain,
    ~ between(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u,v),
    inference('UR-RESOLVE',[status(thm)],[d10_1,e3_1,76]) ).

cnf(1038,plain,
    between(v,u,extension(w,u,X,Y)),
    inference('HYPERRESOLVE',[status(thm)],[b5,95,segment_construction1]) ).

cnf(10017,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[t1,198]),1038]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO062-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jun 17 23:18:49 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T23:18:49
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-17T23:18:49
% 0.35/0.52  
% 42.14/42.34  ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 42.14/42.34  
% 42.14/42.34  #||
% 42.14/42.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.14/42.34  % SZS output start Refutation
% See solution above
% 42.14/42.34  ||#
% 42.14/42.34  
% 42.14/42.34  ; Summary of computation:
% 42.14/42.34  ;     60052 formulas have been input or derived (from 219 formulas).
% 42.14/42.34  ;     10017 (17%) were retained.  Of these,
% 42.14/42.34  ;          683 ( 7%) were simplified or subsumed later,
% 42.14/42.34  ;         9334 (93%) are still being kept.
% 42.14/42.34  ; 
% 42.14/42.34  ; Run time in seconds excluding printing time:
% 42.14/42.34  ;     0.017   0%   Read assertion file          (1 call)
% 42.14/42.34  ;     0.001   0%   Assert                       (75 calls)
% 42.14/42.34  ;     0.962   2%   Process new row              (45,564 calls)
% 42.14/42.34  ;    38.966  93%   Resolution                   (436 calls)
% 42.14/42.34  ;     0.009   0%   Paramodulation               (218 calls)
% 42.14/42.34  ;     0.000   0%   Factoring                    (1 call)
% 42.14/42.34  ;     0.018   0%   Condensing                   (1,860 calls)
% 42.14/42.34  ;     0.442   1%   Forward subsumption          (1,860 calls)
% 42.14/42.34  ;     0.089   0%   Backward subsumption         (1,662 calls)
% 42.14/42.34  ;     0.087   0%   Clause clause subsumption    (54,331 calls)
% 42.14/42.34  ;     0.907   2%   Forward simplification       (45,564 calls)
% 42.14/42.34  ;     0.159   0%   Backward simplification      (10,012 calls)
% 42.14/42.34  ;     0.010   0%   Ordering                     (3,109 calls)
% 42.14/42.34  ;     0.000   0%   Sortal reasoning             (32 calls)
% 42.14/42.34  ;     0.000   0%   Purity testing               (1 call)
% 42.14/42.34  ;     0.174   0%   Other
% 42.14/42.34  ;    41.841        Total
% 42.14/42.34  ;    41.851        Real time
% 42.14/42.34  ; 
% 42.14/42.34  ; Term-hash-array has 16,541 terms in all.
% 42.14/42.34  ; Feature-vector-row-index has 1,483 entries (1,644 at peak, 1,662 added, 179 deleted).
% 42.14/42.34  ; Feature-vector-row-index has 8,716 nodes (9,212 at peak, 9,310 added, 594 deleted).
% 42.14/42.34  ;  Retrieved 50,113 possibly forward subsuming rows in 1,860 calls.
% 42.14/42.34  ;  Retrieved 7,451 possibly backward subsumed rows in 1,662 calls.
% 42.14/42.34  ; Path-index has 15,892 entries (15,896 at peak, 17,006 added, 1,114 deleted).
% 42.14/42.34  ; Path-index has 10,422 nodes (10,422 at peak, 10,589 added, 167 deleted).
% 42.14/42.34  ; Trie-index has 15,892 entries (15,896 at peak, 17,006 added, 1,114 deleted).
% 42.14/42.34  ; Trie-index has 140,870 nodes (140,925 at peak, 149,140 added, 8,270 deleted).
% 42.14/42.34  ; Retrieved 344,340 generalization terms in 124,828 calls.
% 42.14/42.34  ; Retrieved 13,371 instance terms in 8,349 calls.
% 42.14/42.34  ; Retrieved 105,786,347 unifiable terms in 513,206 calls.
% 42.14/42.34  ; 
% 42.14/42.34  ; The agenda of rows to process has 16 entries:
% 42.14/42.34  ;     3 with value 12              1 with value 15               1 with value 19
% 42.14/42.34  ;     1 with value 13              5 with value 16               1 with value 21
% 42.14/42.34  ;     2 with value 14              2 with value 17
% 42.14/42.34  ; The agenda of rows to give has 9115 entries:
% 42.14/42.34  ;     1 with value (4 6)          87 with value (4 41)           8 with value (4 74)
% 42.14/42.34  ;     1 with value (4 7)          68 with value (4 42)          10 with value (4 75)
% 42.14/42.34  ;     1 with value (4 9)         114 with value (4 43)          16 with value (4 76)
% 42.14/42.34  ;     5 with value (4 10)         59 with value (4 44)          20 with value (4 77)
% 42.14/42.34  ;    52 with value (4 11)         61 with value (4 45)          17 with value (4 78)
% 42.14/42.34  ;   222 with value (4 12)         97 with value (4 46)          11 with value (4 79)
% 42.14/42.34  ;   194 with value (4 13)         94 with value (4 47)           6 with value (4 80)
% 42.14/42.34  ;   249 with value (4 14)         78 with value (4 48)           7 with value (4 81)
% 42.14/42.34  ;   292 with value (4 15)         75 with value (4 49)           6 with value (4 82)
% 42.14/42.34  ;   458 with value (4 16)         41 with value (4 50)           3 with value (4 83)
% 42.14/42.34  ;   306 with value (4 17)         67 with value (4 51)           4 with value (4 84)
% 42.14/42.34  ;   451 with value (4 18)         62 with value (4 52)           3 with value (4 85)
% 42.14/42.34  ;   264 with value (4 19)         29 with value (4 53)          19 with value (4 86)
% 42.14/42.34  ;   274 with value (4 20)         45 with value (4 54)           5 with value (4 87)
% 42.14/42.34  ;   353 with value (4 21)         31 with value (4 55)           5 with value (4 88)
% 42.14/42.34  ;   401 with value (4 22)         44 with value (4 56)           3 with value (4 89)
% 42.14/42.34  ;   358 with value (4 23)         50 with value (4 57)           6 with value (4 90)
% 42.14/42.34  ;   318 with value (4 24)         45 with value (4 58)           5 with value (4 91)
% 42.14/42.34  ;   344 with value (4 25)         12 with value (4 59)           9 with value (4 92)
% 42.14/42.34  ;   385 with value (4 26)         32 with value (4 60)           5 with value (4 93)
% 42.14/42.34  ;   299 with value (4 27)         17 with value (4 61)           1 with value (4 95)
% 42.14/42.34  ;   292 with value (4 28)         33 with value (4 62)           4 with value (4 96)
% 42.14/42.34  ;   250 with value (4 29)         32 with value (4 63)           1 with value (4 97)
% 42.14/42.34  ;   241 with value (4 30)         11 with value (4 64)           1 with value (4 98)
% 42.14/42.34  ;   254 with value (4 31)         12 with value (4 65)           3 with value (4 100)
% 42.14/42.34  ;   219 with value (4 32)         25 with value (4 66)           3 with value (4 102)
% 42.14/42.34  ;   211 with value (4 33)         15 with value (4 67)           1 with value (4 104)
% 42.14/42.34  ;   172 with value (4 34)         11 with value (4 68)           1 with value (4 108)
% 42.14/42.34  ;   220 with value (4 35)         11 with value (4 69)           3 with value (4 109)
% 42.14/42.34  ;    93 with value (4 36)         19 with value (4 70)           1 with value (4 111)
% 42.14/42.34  ;    69 with value (4 37)         10 with value (4 71)           3 with value (4 112)
% 42.14/42.34  ;    60 with value (4 38)         21 with value (4 72)           4 with value (4 116)
% 42.14/42.34  ;   117 with value (4 39)         14 with value (4 73)           1 with value (4 136)
% 42.14/42.34  ;    72 with value (4 40)
% 42.14/42.34  Evaluation took:
% 42.14/42.34    41.854 seconds of real time
% 42.14/42.34    41.3293 seconds of user run time
% 42.14/42.34    0.514918 seconds of system run time
% 42.14/42.34    [Run times include 1.693 seconds GC run time.]
% 42.14/42.34    0 calls to %EVAL
% 42.14/42.34    0 page faults and
% 42.14/42.34    1,632,285,552 bytes consed.
% 42.14/42.34  :PROOF-FOUND
% 42.14/42.34  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T23:19:31
% 42.14/42.34  :PROOF-FOUND
% 42.14/42.34  * 
%------------------------------------------------------------------------------