TSTP Solution File: GEO069-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO069-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 06:13:38 EDT 2022

% Result   : Unsatisfiable 2.59s 2.80s
% Output   : Refutation 2.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (  10 unt;   1 nHn;  13 RR)
%            Number of literals    :   18 (   3 equ;   7 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(t10_1,axiom,
    ( ~ colinear(X,Y,Z)
    | colinear(Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_1) ).

cnf(t12_1,axiom,
    ( ~ colinear(X,Y,Z)
    | ~ colinear(X,Y,U)
    | colinear(X,Z,U)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_1) ).

cnf(u_not_v,hypothesis,
    u != v,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).

cnf(wvu_colinear,hypothesis,
    colinear(w,v,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wvu_colinear) ).

cnf(xvu_colinear,hypothesis,
    colinear(x,v,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xvu_colinear) ).

cnf(prove_xwu_and_xwv_colinear,negated_conjecture,
    ( ~ colinear(x,w,u)
    | ~ colinear(x,w,v) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_xwu_and_xwv_colinear) ).

cnf(133,plain,
    colinear(v,u,w),
    inference('HYPERRESOLVE',[status(thm)],[t10_1,wvu_colinear]) ).

cnf(135,plain,
    colinear(v,u,x),
    inference('HYPERRESOLVE',[status(thm)],[t10_1,xvu_colinear]) ).

cnf(1073,plain,
    colinear(v,x,w),
    inference('UR-RESOLVE',[status(thm)],[t12_1,135,133,u_not_v]) ).

cnf(1104,plain,
    colinear(x,w,v),
    inference('HYPERRESOLVE',[status(thm)],[t10_1,1073]) ).

cnf(1105,plain,
    ~ colinear(x,w,u),
    inference('REWRITE',[status(thm)],[prove_xwu_and_xwv_colinear,1104]) ).

cnf(1106,plain,
    x = v,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[t12_1,1073,xvu_colinear]),1105]) ).

cnf(1107,plain,
    $false,
    inference('REWRITE',[status(thm)],[1105,wvu_colinear,1106,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : GEO069-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.05/0.10  % Command  : run-snark %s %d
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Sat Jun 18 15:44:02 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.14/0.37  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38  * 
% 0.14/0.38  * 
% 0.14/0.39  #<PACKAGE "SNARK-USER">
% 0.14/0.39  * 
% 0.14/0.39  SNARK-TPTP-OPTIONS
% 0.14/0.39  * 
% 0.14/0.39  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.39   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.39   (USE-FACTORING :POS)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.39   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.39   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.39   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.39   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.39   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.39   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.39   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.39   (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.39  * 
% 0.14/0.39  "."
% 0.14/0.39  * 
% 0.14/0.39  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T15:44:02
% 0.14/0.39  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-18T15:44:02
% 0.14/0.41  
% 0.14/0.41  ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.14/0.41  ; Recognized commutativity assertion (OR (NOT (|colinear| ?X ?Y ?Z)) (|colinear| ?Y ?X ?Z)).
% 2.59/2.80  ; Declaring colinear to be commutative.
% 2.59/2.80  
% 2.59/2.80  #||
% 2.59/2.80  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.59/2.80  % SZS output start Refutation
% See solution above
% 2.59/2.80  ||#
% 2.59/2.80  
% 2.59/2.80  ; Summary of computation:
% 2.59/2.80  ;     12267 formulas have been input or derived (from 119 formulas).
% 2.59/2.80  ;      1107 ( 9%) were retained.  Of these,
% 2.59/2.80  ;           78 ( 7%) were simplified or subsumed later,
% 2.59/2.80  ;         1029 (93%) are still being kept.
% 2.59/2.80  ; 
% 2.59/2.80  ; Run time in seconds excluding printing time:
% 2.59/2.80  ;     0.015   1%   Read assertion file          (1 call)
% 2.59/2.80  ;     0.003   0%   Assert                       (107 calls)
% 2.59/2.80  ;     0.074   3%   Process new row              (7,840 calls)
% 2.59/2.80  ;     2.142  89%   Resolution                   (236 calls)
% 2.59/2.80  ;     0.001   0%   Paramodulation               (118 calls)
% 2.59/2.80  ;     0.000   0%   Factoring                    (1 call)
% 2.59/2.80  ;     0.004   0%   Condensing                   (215 calls)
% 2.59/2.80  ;     0.007   0%   Forward subsumption          (215 calls)
% 2.59/2.80  ;     0.002   0%   Backward subsumption         (186 calls)
% 2.59/2.80  ;     0.012   0%   Clause clause subsumption    (1,464 calls)
% 2.59/2.80  ;     0.095   4%   Forward simplification       (7,840 calls)
% 2.59/2.80  ;     0.014   1%   Backward simplification      (1,101 calls)
% 2.59/2.80  ;     0.000   0%   Ordering                     (281 calls)
% 2.59/2.80  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.59/2.80  ;     0.000   0%   Purity testing               (1 call)
% 2.59/2.80  ;     0.040   2%   Other
% 2.59/2.80  ;     2.409        Total
% 2.59/2.80  ;     2.410        Real time
% 2.59/2.80  ; 
% 2.59/2.80  ; Term-hash-array has 1,945 terms in all.
% 2.59/2.80  ; Feature-vector-row-index has 180 entries (183 at peak, 186 added, 6 deleted).
% 2.59/2.80  ; Feature-vector-row-index has 390 nodes (404 at peak, 407 added, 17 deleted).
% 2.59/2.80  ;  Retrieved 1,337 possibly forward subsuming rows in 215 calls.
% 2.59/2.80  ;  Retrieved 263 possibly backward subsumed rows in 186 calls.
% 2.59/2.80  ; Path-index has 1,843 entries (1,858 at peak, 1,969 added, 126 deleted).
% 2.59/2.80  ; Path-index has 2,929 nodes (2,934 at peak, 3,013 added, 84 deleted).
% 2.59/2.80  ; Trie-index has 1,843 entries (1,858 at peak, 1,969 added, 126 deleted).
% 2.59/2.80  ; Trie-index has 10,225 nodes (10,251 at peak, 10,581 added, 356 deleted).
% 2.59/2.80  ; Retrieved 42,310 generalization terms in 15,397 calls.
% 2.59/2.80  ; Retrieved 1,407 instance terms in 914 calls.
% 2.59/2.80  ; Retrieved 5,896,268 unifiable terms in 61,151 calls.
% 2.59/2.80  ; 
% 2.59/2.80  ; The agenda of rows to process has 13 entries:
% 2.59/2.80  ;    11 with value 12              2 with value 18
% 2.59/2.80  ; The agenda of rows to give has 915 entries:
% 2.59/2.80  ;     1 with value (4 7)          13 with value (4 29)           1 with value (4 52)
% 2.59/2.80  ;    16 with value (4 8)          30 with value (4 30)           5 with value (4 53)
% 2.59/2.80  ;    19 with value (4 9)           4 with value (4 31)           3 with value (4 55)
% 2.59/2.80  ;    38 with value (4 10)         16 with value (4 32)           1 with value (4 56)
% 2.59/2.80  ;    57 with value (4 11)          5 with value (4 33)           8 with value (4 57)
% 2.59/2.80  ;   106 with value (4 12)         21 with value (4 34)           4 with value (4 59)
% 2.59/2.80  ;    18 with value (4 13)         11 with value (4 35)           3 with value (4 61)
% 2.59/2.80  ;    20 with value (4 14)          4 with value (4 36)           2 with value (4 63)
% 2.59/2.80  ;    55 with value (4 15)         12 with value (4 38)           3 with value (4 65)
% 2.59/2.80  ;    34 with value (4 16)          2 with value (4 39)           1 with value (4 67)
% 2.59/2.80  ;    99 with value (4 17)          2 with value (4 40)           2 with value (4 69)
% 2.59/2.80  ;    21 with value (4 18)          4 with value (4 41)           1 with value (4 71)
% 2.59/2.80  ;    46 with value (4 19)          3 with value (4 42)           1 with value (4 73)
% 2.59/2.80  ;    10 with value (4 20)          2 with value (4 43)           2 with value (4 75)
% 2.59/2.80  ;    54 with value (4 21)          3 with value (4 44)           3 with value (4 77)
% 2.59/2.80  ;    10 with value (4 22)          4 with value (4 45)           1 with value (4 81)
% 2.59/2.80  ;    26 with value (4 23)          2 with value (4 46)           2 with value (4 85)
% 2.59/2.80  ;    17 with value (4 24)          6 with value (4 47)           1 with value (4 87)
% 2.59/2.80  ;    27 with value (4 25)          2 with value (4 48)           1 with value (4 91)
% 2.59/2.80  ;    15 with value (4 26)          2 with value (4 49)           1 with value (4 95)
% 2.59/2.80  ;     7 with value (4 27)          7 with value (4 51)           1 with value (4 111)
% 2.59/2.80  ;    17 with value (4 28)
% 2.59/2.80  Evaluation took:
% 2.59/2.80    2.41 seconds of real time
% 2.59/2.80    2.34883 seconds of user run time
% 2.59/2.80    0.061812 seconds of system run time
% 2.59/2.80    [Run times include 0.064 seconds GC run time.]
% 2.59/2.80    0 calls to %EVAL
% 2.59/2.80    0 page faults and
% 2.59/2.80    119,314,200 bytes consed.
% 2.59/2.80  :PROOF-FOUND
% 2.59/2.80  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T15:44:04
% 2.59/2.80  :PROOF-FOUND
% 2.59/2.80  * 
%------------------------------------------------------------------------------