TSTP Solution File: GEO067-3 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO067-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 06:13:36 EDT 2022

% Result   : Unsatisfiable 0.38s 0.54s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   11 (   6 unt;   0 nHn;   7 RR)
%            Number of literals    :   18 (   3 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   11 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(colinearity1,axiom,
    ( ~ between(X,Y,Z)
    | colinear(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity1) ).

cnf(t3,axiom,
    between(X,Y,Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3) ).

cnf(t2,axiom,
    between(X,X,Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2) ).

cnf(part_1,negated_conjecture,
    ( ~ colinear(x,x,y)
    | ~ colinear(x,y,x)
    | x = y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_1) ).

cnf(part_2,negated_conjecture,
    ( ~ colinear(x,x,y)
    | ~ colinear(x,y,x)
    | ~ colinear(x,z,y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_2) ).

cnf(110,plain,
    colinear(X,Y,Y),
    inference('HYPERRESOLVE',[status(thm)],[colinearity1,t3]) ).

cnf(111,plain,
    ( ~ colinear(x,x,y)
    | x = y ),
    inference('REWRITE',[status(thm)],[part_1,110]) ).

cnf(112,plain,
    ( ~ colinear(x,x,y)
    | ~ colinear(x,z,y) ),
    inference('REWRITE',[status(thm)],[part_2,110]) ).

cnf(113,plain,
    colinear(X,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[colinearity1,t2]) ).

cnf(114,plain,
    x = y,
    inference('REWRITE',[status(thm)],[111,113]) ).

cnf(115,plain,
    $false,
    inference('REWRITE',[status(thm)],[112,110,114,113,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO067-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 07:44:07 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T07:44:07
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-18T07:44:07
% 0.19/0.50  
% 0.19/0.50  ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.19/0.50  ; Recognized commutativity assertion (OR (NOT (|colinear| ?X ?Y ?Z)) (|colinear| ?Y ?X ?Z)).
% 0.38/0.54  ; Declaring colinear to be commutative.
% 0.38/0.54  
% 0.38/0.54  #||
% 0.38/0.54  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.54  % SZS output start Refutation
% See solution above
% 0.38/0.55  ||#
% 0.38/0.55  
% 0.38/0.55  ; Summary of computation:
% 0.38/0.55  ;       151 formulas have been input or derived (from 22 formulas).
% 0.38/0.55  ;       115 (76%) were retained.  Of these,
% 0.38/0.55  ;           11 (10%) were simplified or subsumed later,
% 0.38/0.55  ;          104 (90%) are still being kept.
% 0.38/0.55  ; 
% 0.38/0.55  ; Run time in seconds excluding printing time:
% 0.38/0.55  ;     0.022  29%   Read assertion file          (1 call)
% 0.38/0.55  ;     0.004   5%   Assert                       (98 calls)
% 0.38/0.55  ;     0.009  12%   Process new row              (132 calls)
% 0.38/0.55  ;     0.002   3%   Resolution                   (42 calls)
% 0.38/0.55  ;     0.000   0%   Paramodulation               (21 calls)
% 0.38/0.55  ;     0.003   4%   Condensing                   (72 calls)
% 0.38/0.55  ;     0.002   3%   Forward subsumption          (72 calls)
% 0.38/0.55  ;     0.003   4%   Backward subsumption         (64 calls)
% 0.38/0.55  ;     0.004   5%   Clause clause subsumption    (313 calls)
% 0.38/0.55  ;     0.006   8%   Forward simplification       (132 calls)
% 0.38/0.55  ;     0.000   0%   Backward simplification      (109 calls)
% 0.38/0.55  ;     0.000   0%   Ordering                     (21 calls)
% 0.38/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.38/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.38/0.55  ;     0.022  29%   Other
% 0.38/0.55  ;     0.077        Total
% 0.38/0.55  ;     0.079        Real time
% 0.38/0.55  ; 
% 0.38/0.55  ; Term-hash-array has 163 terms in all.
% 0.38/0.55  ; Feature-vector-row-index has 60 entries (62 at peak, 64 added, 4 deleted).
% 0.38/0.55  ; Feature-vector-row-index has 99 nodes (116 at peak, 132 added, 33 deleted).
% 0.38/0.55  ;  Retrieved 236 possibly forward subsuming rows in 72 calls.
% 0.38/0.55  ;  Retrieved 151 possibly backward subsumed rows in 64 calls.
% 0.38/0.55  ; Path-index has 164 entries (166 at peak, 179 added, 15 deleted).
% 0.38/0.55  ; Path-index has 382 nodes (387 at peak, 403 added, 21 deleted).
% 0.38/0.55  ; Trie-index has 164 entries (166 at peak, 179 added, 15 deleted).
% 0.38/0.55  ; Trie-index has 343 nodes (350 at peak, 369 added, 26 deleted).
% 0.38/0.55  ; Retrieved 426 generalization terms in 279 calls.
% 0.38/0.55  ; Retrieved 159 instance terms in 44 calls.
% 0.38/0.55  ; Retrieved 1,155 unifiable terms in 101 calls.
% 0.38/0.55  ; 
% 0.38/0.55  ; The agenda of rows to process has 6 entries:
% 0.38/0.55  ;     4 with value 6               1 with value 9                1 with value 11
% 0.38/0.55  ; The agenda of input rows to give has 64 entries:
% 0.38/0.55  ;     1 with value 4               3 with value 19               4 with value 28
% 0.38/0.55  ;     5 with value 10              4 with value 20               1 with value 30
% 0.38/0.55  ;     4 with value 11              3 with value 21               1 with value 34
% 0.38/0.55  ;     7 with value 12              1 with value 23               1 with value 35
% 0.38/0.55  ;     4 with value 14              4 with value 24               1 with value 37
% 0.38/0.55  ;     6 with value 15              3 with value 25               2 with value 40
% 0.38/0.55  ;     1 with value 16              1 with value 26               1 with value 44
% 0.38/0.55  ;     4 with value 18              1 with value 27               1 with value 49
% 0.38/0.55  ; The agenda of rows to give has 18 entries:
% 0.38/0.55  ;     8 with value (4 6)           1 with value (4 11)           1 with value (4 15)
% 0.38/0.55  ;     6 with value (4 7)           2 with value (4 12)
% 0.38/0.55  Evaluation took:
% 0.38/0.55    0.08 seconds of real time
% 0.38/0.55    0.071602 seconds of user run time
% 0.38/0.55    0.008196 seconds of system run time
% 0.38/0.55    0 calls to %EVAL
% 0.38/0.55    0 page faults and
% 0.38/0.55    4,482,760 bytes consed.
% 0.38/0.55  :PROOF-FOUND
% 0.38/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T07:44:08
% 0.38/0.55  :PROOF-FOUND
% 0.38/0.55  * 
%------------------------------------------------------------------------------