TSTP Solution File: GEO065-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO065-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 06:13:35 EDT 2022

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    8 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(colinearity2,axiom,
    ( ~ between(X,Y,Z)
    | colinear(Z,X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity2) ).

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

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

cnf(prove_uvw_colinear,negated_conjecture,
    ~ colinear(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_uvw_colinear) ).

cnf(116,plain,
    ~ between(v,w,u),
    inference('UR-RESOLVE',[status(thm)],[colinearity2,prove_uvw_colinear]) ).

cnf(125,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[t1,w_between_u_and_v]),116]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO065-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 04:14:52 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T04:14:52
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-18T04:14:52
% 0.20/0.50  
% 0.20/0.55  ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.20/0.55  
% 0.20/0.55  #||
% 0.20/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.55  % SZS output start Refutation
% See solution above
% 0.20/0.55  ||#
% 0.20/0.55  
% 0.20/0.55  ; Summary of computation:
% 0.20/0.55  ;       179 formulas have been input or derived (from 27 formulas).
% 0.20/0.55  ;       125 (70%) were retained.  Of these,
% 0.20/0.55  ;            7 ( 6%) were simplified or subsumed later,
% 0.20/0.55  ;          118 (94%) are still being kept.
% 0.20/0.55  ; 
% 0.20/0.55  ; Run time in seconds:
% 0.20/0.55  ;     0.021  27%   Read assertion file          (1 call)
% 0.20/0.55  ;     0.003   4%   Assert                       (89 calls)
% 0.20/0.55  ;     0.007   9%   Process new row              (150 calls)
% 0.20/0.55  ;     0.002   3%   Resolution                   (52 calls)
% 0.20/0.55  ;     0.002   3%   Paramodulation               (26 calls)
% 0.20/0.55  ;     0.002   3%   Condensing                   (61 calls)
% 0.20/0.55  ;     0.003   4%   Forward subsumption          (61 calls)
% 0.20/0.55  ;     0.002   3%   Backward subsumption         (59 calls)
% 0.20/0.55  ;     0.006   8%   Clause clause subsumption    (304 calls)
% 0.20/0.55  ;     0.002   3%   Forward simplification       (150 calls)
% 0.20/0.55  ;     0.000   0%   Backward simplification      (119 calls)
% 0.20/0.55  ;     0.001   1%   Ordering                     (28 calls)
% 0.20/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.55  ;     0.026  34%   Other
% 0.20/0.55  ;     0.077        Total
% 0.20/0.55  ;     0.078        Real time
% 0.20/0.55  ; 
% 0.20/0.55  ; Term-hash-array has 175 terms in all.
% 0.20/0.55  ; Feature-vector-row-index has 59 entries (59 at peak, 59 added, 0 deleted).
% 0.20/0.55  ; Feature-vector-row-index has 99 nodes (99 at peak, 99 added, 0 deleted).
% 0.20/0.55  ;  Retrieved 194 possibly forward subsuming rows in 61 calls.
% 0.20/0.55  ;  Retrieved 135 possibly backward subsumed rows in 59 calls.
% 0.20/0.55  ; Path-index has 179 entries (179 at peak, 181 added, 2 deleted).
% 0.20/0.55  ; Path-index has 449 nodes (449 at peak, 452 added, 3 deleted).
% 0.20/0.55  ; Trie-index has 179 entries (179 at peak, 181 added, 2 deleted).
% 0.20/0.55  ; Trie-index has 399 nodes (399 at peak, 404 added, 5 deleted).
% 0.20/0.55  ; Retrieved 483 generalization terms in 303 calls.
% 0.20/0.55  ; Retrieved 181 instance terms in 59 calls.
% 0.20/0.55  ; Retrieved 1,589 unifiable terms in 137 calls.
% 0.20/0.55  ; 
% 0.20/0.55  ; The agenda of rows to process has 10 entries:
% 0.20/0.55  ;     8 with value 6               1 with value 9                1 with value 11
% 0.20/0.55  ; The agenda of input rows to give has 58 entries:
% 0.20/0.55  ;     4 with value 11              3 with value 21               1 with value 30
% 0.20/0.55  ;     7 with value 12              1 with value 23               1 with value 34
% 0.20/0.55  ;     4 with value 14              4 with value 24               1 with value 35
% 0.20/0.55  ;     6 with value 15              3 with value 25               1 with value 37
% 0.20/0.55  ;     1 with value 16              1 with value 26               2 with value 40
% 0.20/0.55  ;     4 with value 18              1 with value 27               1 with value 44
% 0.20/0.55  ;     3 with value 19              4 with value 28               1 with value 49
% 0.20/0.55  ;     4 with value 20
% 0.20/0.55  ; The agenda of rows to give has 33 entries:
% 0.20/0.55  ;    15 with value (4 6)           1 with value (4 10)           2 with value (4 12)
% 0.20/0.55  ;     6 with value (4 7)           4 with value (4 11)           1 with value (4 15)
% 0.20/0.55  ;     4 with value (4 9)
% 0.20/0.55  Evaluation took:
% 0.20/0.55    0.078 seconds of real time
% 0.20/0.55    0.070883 seconds of user run time
% 0.20/0.55    0.007269 seconds of system run time
% 0.20/0.55    0 calls to %EVAL
% 0.20/0.55    0 page faults and
% 0.20/0.55    4,065,344 bytes consed.
% 0.20/0.55  :PROOF-FOUND
% 0.20/0.55  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T04:14:52
% 0.20/0.55  :PROOF-FOUND
% 0.20/0.55  * 
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