TSTP Solution File: GEO033-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO033-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 06:13:18 EDT 2022

% Result   : Unsatisfiable 1.16s 1.36s
% Output   : Refutation 1.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   11 (   9 unt;   0 nHn;  11 RR)
%            Number of literals    :   21 (   0 equ;  11 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    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(d8,axiom,
    ( ~ equidistant(X,Y,Z,U)
    | ~ equidistant(Y,V,U,W)
    | ~ between(X,Y,V)
    | ~ between(Z,U,W)
    | equidistant(X,V,Z,W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8) ).

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

cnf(u_to_x_equals_u1_to_x1,hypothesis,
    equidistant(u,x,u1,x1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_x_equals_u1_to_x1) ).

cnf(w_to_x_equals_w1_to_x1,hypothesis,
    equidistant(w,x,w1,x1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_to_x_equals_w1_to_x1) ).

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(prove_v_to_x_equals_v1_to_x1,negated_conjecture,
    ~ equidistant(v,x,v1,x1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_to_x_equals_v1_to_x1) ).

cnf(658,plain,
    equidistant(u,w,u1,w1),
    inference('HYPERRESOLVE',[status(thm)],[d8,u_to_v_equals_u1_to_v1,v_to_w_equals_v1_to_w1,v_between_u_and_w,v1_between_u1_and_w1]) ).

cnf(903,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[d12,u_to_v_equals_u1_to_v1,u_to_x_equals_u1_to_x1,w_to_x_equals_w1_to_x1,v_between_u_and_w,v1_between_u1_and_w1,prove_v_to_x_equals_v1_to_x1]),658]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO033-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n010.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 : Sat Jun 18 18:29:23 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  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T18:29:23
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-18T18:29:23
% 0.20/0.51  
% 1.16/1.36  ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 1.16/1.36  
% 1.16/1.36  #||
% 1.16/1.36  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.36  % SZS output start Refutation
% See solution above
% 1.16/1.36  ||#
% 1.16/1.36  
% 1.16/1.36  ; Summary of computation:
% 1.16/1.36  ;      5199 formulas have been input or derived (from 68 formulas).
% 1.16/1.36  ;       903 (17%) were retained.  Of these,
% 1.16/1.36  ;           35 ( 4%) were simplified or subsumed later,
% 1.16/1.36  ;          868 (96%) are still being kept.
% 1.16/1.36  ; 
% 1.16/1.36  ; Run time in seconds excluding printing time:
% 1.16/1.36  ;     0.016   2%   Read assertion file          (1 call)
% 1.16/1.36  ;     0.003   0%   Assert                       (74 calls)
% 1.16/1.36  ;     0.078   9%   Process new row              (2,910 calls)
% 1.16/1.36  ;     0.658  76%   Resolution                   (134 calls)
% 1.16/1.36  ;     0.000   0%   Paramodulation               (67 calls)
% 1.16/1.36  ;     0.000   0%   Factoring                    (1 call)
% 1.16/1.36  ;     0.004   0%   Condensing                   (165 calls)
% 1.16/1.36  ;     0.008   1%   Forward subsumption          (165 calls)
% 1.16/1.36  ;     0.005   1%   Backward subsumption         (157 calls)
% 1.16/1.36  ;     0.004   0%   Clause clause subsumption    (956 calls)
% 1.16/1.36  ;     0.041   5%   Forward simplification       (2,910 calls)
% 1.16/1.36  ;     0.011   1%   Backward simplification      (902 calls)
% 1.16/1.36  ;     0.003   0%   Ordering                     (339 calls)
% 1.16/1.36  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.16/1.36  ;     0.000   0%   Purity testing               (1 call)
% 1.16/1.36  ;     0.040   5%   Other
% 1.16/1.36  ;     0.871        Total
% 1.16/1.36  ;     0.873        Real time
% 1.16/1.36  ; 
% 1.16/1.36  ; Term-hash-array has 1,628 terms in all.
% 1.16/1.36  ; Feature-vector-row-index has 156 entries (156 at peak, 157 added, 1 deleted).
% 1.16/1.36  ; Feature-vector-row-index has 542 nodes (542 at peak, 545 added, 3 deleted).
% 1.16/1.36  ;  Retrieved 715 possibly forward subsuming rows in 165 calls.
% 1.16/1.36  ;  Retrieved 247 possibly backward subsumed rows in 157 calls.
% 1.16/1.36  ; Path-index has 1,575 entries (1,575 at peak, 1,652 added, 77 deleted).
% 1.16/1.36  ; Path-index has 2,474 nodes (2,474 at peak, 2,537 added, 63 deleted).
% 1.16/1.36  ; Trie-index has 1,575 entries (1,575 at peak, 1,652 added, 77 deleted).
% 1.16/1.36  ; Trie-index has 9,129 nodes (9,129 at peak, 9,348 added, 219 deleted).
% 1.16/1.36  ; Retrieved 11,851 generalization terms in 5,549 calls.
% 1.16/1.36  ; Retrieved 1,324 instance terms in 744 calls.
% 1.16/1.36  ; Retrieved 1,982,539 unifiable terms in 21,042 calls.
% 1.16/1.36  ; 
% 1.16/1.36  ; The agenda of rows to process has 778 entries:
% 1.16/1.36  ;   156 with value 7               1 with value 19               8 with value 29
% 1.16/1.36  ;    26 with value 10             14 with value 20               1 with value 32
% 1.16/1.36  ;   100 with value 12             26 with value 21               6 with value 33
% 1.16/1.36  ;     8 with value 14              8 with value 23               1 with value 34
% 1.16/1.36  ;   330 with value 16             28 with value 24               4 with value 38
% 1.16/1.36  ;    14 with value 17             40 with value 25               1 with value 42
% 1.16/1.36  ;     5 with value 18              1 with value 28
% 1.16/1.36  ; The agenda of input rows to give has 2 entries:
% 1.16/1.36  ;     1 with value 44              1 with value 49
% 1.16/1.36  ; The agenda of rows to give has 798 entries:
% 1.16/1.36  ;    11 with value (4 6)          12 with value (4 24)           1 with value (4 43)
% 1.16/1.36  ;    42 with value (4 7)          23 with value (4 25)           3 with value (4 44)
% 1.16/1.36  ;     6 with value (4 8)          17 with value (4 26)           4 with value (4 45)
% 1.16/1.36  ;    15 with value (4 9)           7 with value (4 27)           2 with value (4 46)
% 1.16/1.36  ;    22 with value (4 10)         21 with value (4 28)           1 with value (4 47)
% 1.16/1.36  ;    18 with value (4 11)          5 with value (4 29)           2 with value (4 48)
% 1.16/1.36  ;    82 with value (4 12)         31 with value (4 30)           2 with value (4 49)
% 1.16/1.36  ;    15 with value (4 13)          3 with value (4 31)           7 with value (4 51)
% 1.16/1.36  ;    49 with value (4 14)         14 with value (4 32)           1 with value (4 52)
% 1.16/1.36  ;    47 with value (4 15)         21 with value (4 34)           3 with value (4 53)
% 1.16/1.36  ;    29 with value (4 16)          4 with value (4 35)           3 with value (4 55)
% 1.16/1.36  ;    79 with value (4 17)          3 with value (4 36)           1 with value (4 56)
% 1.16/1.36  ;    10 with value (4 18)         10 with value (4 38)           1 with value (4 57)
% 1.16/1.36  ;    44 with value (4 19)          1 with value (4 39)           4 with value (4 59)
% 1.16/1.36  ;     6 with value (4 20)          2 with value (4 40)           1 with value (4 61)
% 1.16/1.36  ;    69 with value (4 21)          1 with value (4 41)           1 with value (4 63)
% 1.16/1.36  ;     8 with value (4 22)          3 with value (4 42)           1 with value (4 67)
% 1.16/1.36  ;    30 with value (4 23)
% 1.16/1.36  Evaluation took:
% 1.16/1.36    0.873 seconds of real time
% 1.16/1.36    0.841838 seconds of user run time
% 1.16/1.36    0.030905 seconds of system run time
% 1.16/1.36    [Run times include 0.022 seconds GC run time.]
% 1.16/1.36    0 calls to %EVAL
% 1.16/1.36    0 page faults and
% 1.16/1.36    46,168,272 bytes consed.
% 1.16/1.36  :PROOF-FOUND
% 1.16/1.36  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T18:29:24
% 1.16/1.36  :PROOF-FOUND
% 1.16/1.36  * 
%------------------------------------------------------------------------------