TSTP Solution File: GEO032-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO032-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 06:13:17 EDT 2022

% Result   : Unsatisfiable 1.68s 1.92s
% Output   : Refutation 1.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    7
% Syntax   : Number of clauses     :    8 (   7 unt;   0 nHn;   7 RR)
%            Number of literals    :   14 (   0 equ;   7 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(d7,axiom,
    equidistant(X,X,Y,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7) ).

cnf(d12,axiom,
    ( ~ equidistant(X,Y,Z,U)
    | ~ equidistant(X,V,Z,W)
    | ~ equidistant(X,X1,Z,Y1)
    | ~ equidistant(V,X1,W,Y1)
    | ~ between(X,Y,V)
    | ~ between(Z,U,W)
    | equidistant(Y,X1,U,Y1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12) ).

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

cnf(v1_between_u1_and_w1,hypothesis,
    between(u1,v1,w1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).

cnf(u_to_v_equals_u1_to_v1,hypothesis,
    equidistant(u,v,u1,v1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).

cnf(u_to_w_equals_u1_to_w1,hypothesis,
    equidistant(u,w,u1,w1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_w_equals_u1_to_w1) ).

cnf(v_to_w_equals_v1_to_w1,negated_conjecture,
    ~ equidistant(v,w,v1,w1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).

cnf(857,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[d12,u_to_v_equals_u1_to_v1,u_to_w_equals_u1_to_w1,u_to_w_equals_u1_to_w1,d7,v_between_u_and_w,v1_between_u1_and_w1,v_to_w_equals_v1_to_w1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO032-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n022.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
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 04:27:02 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47  * 
% 0.18/0.47  * 
% 0.18/0.48  #<PACKAGE "SNARK-USER">
% 0.18/0.48  * 
% 0.18/0.48  SNARK-TPTP-OPTIONS
% 0.18/0.48  * 
% 0.18/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.48   (USE-FACTORING :POS)
% 0.18/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.48  * 
% 0.18/0.48  "."
% 0.18/0.48  * 
% 0.18/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T04:27:02
% 0.18/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-18T04:27:02
% 0.18/0.52  
% 1.68/1.92  ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 1.68/1.92  
% 1.68/1.92  #||
% 1.68/1.92  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.68/1.92  % SZS output start Refutation
% See solution above
% 1.68/1.92  ||#
% 1.68/1.92  
% 1.68/1.92  ; Summary of computation:
% 1.68/1.92  ;      4793 formulas have been input or derived (from 65 formulas).
% 1.68/1.92  ;       857 (18%) were retained.  Of these,
% 1.68/1.92  ;           35 ( 4%) were simplified or subsumed later,
% 1.68/1.92  ;          822 (96%) are still being kept.
% 1.68/1.92  ; 
% 1.68/1.92  ; Run time in seconds excluding printing time:
% 1.68/1.92  ;     0.025   2%   Read assertion file          (1 call)
% 1.68/1.92  ;     0.003   0%   Assert                       (71 calls)
% 1.68/1.92  ;     0.107   7%   Process new row              (2,445 calls)
% 1.68/1.92  ;     1.154  80%   Resolution                   (128 calls)
% 1.68/1.92  ;     0.004   0%   Paramodulation               (64 calls)
% 1.68/1.92  ;     0.000   0%   Factoring                    (1 call)
% 1.68/1.92  ;     0.005   0%   Condensing                   (162 calls)
% 1.68/1.92  ;     0.009   1%   Forward subsumption          (162 calls)
% 1.68/1.92  ;     0.009   1%   Backward subsumption         (154 calls)
% 1.68/1.92  ;     0.005   0%   Clause clause subsumption    (940 calls)
% 1.68/1.92  ;     0.055   4%   Forward simplification       (2,445 calls)
% 1.68/1.92  ;     0.014   1%   Backward simplification      (856 calls)
% 1.68/1.92  ;     0.001   0%   Ordering                     (323 calls)
% 1.68/1.92  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.68/1.92  ;     0.000   0%   Purity testing               (1 call)
% 1.68/1.92  ;     0.047   3%   Other
% 1.68/1.92  ;     1.438        Total
% 1.68/1.92  ;     1.442        Real time
% 1.68/1.92  ; 
% 1.68/1.92  ; Term-hash-array has 1,525 terms in all.
% 1.68/1.92  ; Feature-vector-row-index has 153 entries (153 at peak, 154 added, 1 deleted).
% 1.68/1.92  ; Feature-vector-row-index has 560 nodes (560 at peak, 563 added, 3 deleted).
% 1.68/1.92  ;  Retrieved 705 possibly forward subsuming rows in 162 calls.
% 1.68/1.92  ;  Retrieved 241 possibly backward subsumed rows in 154 calls.
% 1.68/1.92  ; Path-index has 1,470 entries (1,470 at peak, 1,547 added, 77 deleted).
% 1.68/1.92  ; Path-index has 2,423 nodes (2,423 at peak, 2,486 added, 63 deleted).
% 1.68/1.92  ; Trie-index has 1,470 entries (1,470 at peak, 1,547 added, 77 deleted).
% 1.68/1.92  ; Trie-index has 8,751 nodes (8,751 at peak, 8,970 added, 219 deleted).
% 1.68/1.92  ; Retrieved 10,486 generalization terms in 4,975 calls.
% 1.68/1.92  ; Retrieved 1,255 instance terms in 701 calls.
% 1.68/1.92  ; Retrieved 1,873,969 unifiable terms in 18,202 calls.
% 1.68/1.92  ; 
% 1.68/1.92  ; The agenda of rows to process has 931 entries:
% 1.68/1.92  ;     2 with value 6               5 with value 18               1 with value 28
% 1.68/1.92  ;   307 with value 7               1 with value 19               8 with value 29
% 1.68/1.92  ;    26 with value 10             14 with value 20               1 with value 32
% 1.68/1.92  ;   100 with value 12             26 with value 21               6 with value 33
% 1.68/1.92  ;     8 with value 14              8 with value 23               1 with value 34
% 1.68/1.92  ;   330 with value 16             28 with value 24               4 with value 38
% 1.68/1.92  ;    14 with value 17             40 with value 25               1 with value 42
% 1.68/1.92  ; The agenda of input rows to give has 2 entries:
% 1.68/1.92  ;     1 with value 44              1 with value 49
% 1.68/1.92  ; The agenda of rows to give has 755 entries:
% 1.68/1.92  ;    11 with value (4 6)          12 with value (4 24)           1 with value (4 43)
% 1.68/1.92  ;    27 with value (4 7)          23 with value (4 25)           3 with value (4 44)
% 1.68/1.92  ;     6 with value (4 8)          17 with value (4 26)           4 with value (4 45)
% 1.68/1.92  ;    15 with value (4 9)           7 with value (4 27)           2 with value (4 46)
% 1.68/1.92  ;    20 with value (4 10)         21 with value (4 28)           1 with value (4 47)
% 1.68/1.92  ;    18 with value (4 11)          5 with value (4 29)           2 with value (4 48)
% 1.68/1.92  ;    80 with value (4 12)         31 with value (4 30)           2 with value (4 49)
% 1.68/1.92  ;    15 with value (4 13)          3 with value (4 31)           7 with value (4 51)
% 1.68/1.92  ;    37 with value (4 14)         14 with value (4 32)           1 with value (4 52)
% 1.68/1.92  ;    47 with value (4 15)         21 with value (4 34)           3 with value (4 53)
% 1.68/1.92  ;    27 with value (4 16)          4 with value (4 35)           3 with value (4 55)
% 1.68/1.92  ;    77 with value (4 17)          3 with value (4 36)           1 with value (4 56)
% 1.68/1.92  ;     8 with value (4 18)         10 with value (4 38)           1 with value (4 57)
% 1.68/1.92  ;    44 with value (4 19)          1 with value (4 39)           4 with value (4 59)
% 1.68/1.92  ;     6 with value (4 20)          2 with value (4 40)           1 with value (4 61)
% 1.68/1.92  ;    67 with value (4 21)          1 with value (4 41)           1 with value (4 63)
% 1.68/1.92  ;     8 with value (4 22)          3 with value (4 42)           1 with value (4 67)
% 1.68/1.92  ;    26 with value (4 23)
% 1.68/1.92  Evaluation took:
% 1.68/1.92    1.443 seconds of real time
% 1.68/1.92    1.405538 seconds of user run time
% 1.68/1.92    0.035039 seconds of system run time
% 1.68/1.92    [Run times include 0.043 seconds GC run time.]
% 1.68/1.92    0 calls to %EVAL
% 1.68/1.92    0 page faults and
% 1.68/1.92    42,490,512 bytes consed.
% 1.68/1.92  :PROOF-FOUND
% 1.68/1.92  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T04:27:03
% 1.68/1.92  :PROOF-FOUND
% 1.68/1.92  * 
%------------------------------------------------------------------------------