TSTP Solution File: GEO046-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO046-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 06:13:25 EDT 2022

% Result   : Unsatisfiable 1.07s 1.24s
% Output   : Refutation 1.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   9 unt;   1 nHn;  12 RR)
%            Number of literals    :   18 (   2 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   :   11 (   0 sgn)

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

cnf(b5,axiom,
    ( ~ between(X,Y,Z)
    | ~ between(X,Z,U)
    | between(Y,Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b5) ).

cnf(b7,axiom,
    ( ~ between(X,Y,Z)
    | ~ between(Y,Z,U)
    | between(X,Y,U)
    | Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b7) ).

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

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

cnf(prove_w_between_u_and_x,negated_conjecture,
    ~ between(u,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_between_u_and_x) ).

cnf(59,plain,
    between(x,v,u),
    inference('HYPERRESOLVE',[status(thm)],[t1,v_between_u_and_x]) ).

cnf(60,plain,
    between(x,w,v),
    inference('HYPERRESOLVE',[status(thm)],[t1,w_between_v_and_x]) ).

cnf(61,plain,
    ~ between(x,w,u),
    inference('UR-RESOLVE',[status(thm)],[t1,prove_w_between_u_and_x]) ).

cnf(919,plain,
    between(w,v,u),
    inference('HYPERRESOLVE',[status(thm)],[b5,60,59]) ).

cnf(1125,plain,
    v = w,
    inference('UR-RESOLVE',[status(thm)],[b7,919,60,61]) ).

cnf(1126,plain,
    $false,
    inference('REWRITE',[status(thm)],[prove_w_between_u_and_x,v_between_u_and_x,1125,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO046-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n004.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
% 0.12/0.34  % DateTime : Fri Jun 17 16:53:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-06-17T16:53:38
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-17T16:53:38
% 0.19/0.49  
% 1.07/1.24  ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 1.07/1.24  
% 1.07/1.24  #||
% 1.07/1.24  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.24  % SZS output start Refutation
% See solution above
% 1.07/1.24  ||#
% 1.07/1.24  
% 1.07/1.24  ; Summary of computation:
% 1.07/1.24  ;      5333 formulas have been input or derived (from 83 formulas).
% 1.07/1.24  ;      1126 (21%) were retained.  Of these,
% 1.07/1.24  ;          398 (35%) were simplified or subsumed later,
% 1.07/1.24  ;          728 (65%) are still being kept.
% 1.07/1.24  ; 
% 1.07/1.24  ; Run time in seconds excluding printing time:
% 1.07/1.24  ;     0.012   2%   Read assertion file          (1 call)
% 1.07/1.24  ;     0.002   0%   Assert                       (58 calls)
% 1.07/1.24  ;     0.082  11%   Process new row              (3,883 calls)
% 1.07/1.24  ;     0.561  73%   Resolution                   (164 calls)
% 1.07/1.24  ;     0.001   0%   Paramodulation               (82 calls)
% 1.07/1.24  ;     0.000   0%   Factoring                    (1 call)
% 1.07/1.24  ;     0.001   0%   Condensing                   (192 calls)
% 1.07/1.24  ;     0.007   1%   Forward subsumption          (192 calls)
% 1.07/1.24  ;     0.003   0%   Backward subsumption         (180 calls)
% 1.07/1.24  ;     0.006   1%   Clause clause subsumption    (1,151 calls)
% 1.07/1.24  ;     0.042   5%   Forward simplification       (3,883 calls)
% 1.07/1.24  ;     0.020   3%   Backward simplification      (1,125 calls)
% 1.07/1.24  ;     0.000   0%   Ordering                     (379 calls)
% 1.07/1.24  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.07/1.24  ;     0.000   0%   Purity testing               (1 call)
% 1.07/1.24  ;     0.035   5%   Other
% 1.07/1.24  ;     0.772        Total
% 1.07/1.24  ;     0.772        Real time
% 1.07/1.24  ; 
% 1.07/1.24  ; Term-hash-array has 1,914 terms in all.
% 1.07/1.24  ; Feature-vector-row-index has 134 entries (175 at peak, 180 added, 46 deleted).
% 1.07/1.24  ; Feature-vector-row-index has 377 nodes (607 at peak, 630 added, 253 deleted).
% 1.07/1.24  ;  Retrieved 876 possibly forward subsuming rows in 192 calls.
% 1.07/1.24  ;  Retrieved 283 possibly backward subsumed rows in 180 calls.
% 1.07/1.24  ; Path-index has 1,254 entries (1,832 at peak, 1,928 added, 674 deleted).
% 1.07/1.24  ; Path-index has 1,605 nodes (1,786 at peak, 1,951 added, 346 deleted).
% 1.07/1.24  ; Trie-index has 1,254 entries (1,832 at peak, 1,928 added, 674 deleted).
% 1.07/1.24  ; Trie-index has 6,633 nodes (9,824 at peak, 10,223 added, 3,590 deleted).
% 1.07/1.24  ; Retrieved 15,822 generalization terms in 8,033 calls.
% 1.07/1.24  ; Retrieved 1,433 instance terms in 944 calls.
% 1.07/1.24  ; Retrieved 1,134,304 unifiable terms in 35,186 calls.
% 1.07/1.24  ; 
% 1.07/1.24  ; The agenda of backward simplifiable rows to process has 338 entries:
% 1.07/1.24  ;   338 with value 0
% 1.07/1.24  ; The agenda of rows to process has 148 entries:
% 1.07/1.24  ;     9 with value 8               7 with value 16               2 with value 26
% 1.07/1.24  ;     1 with value 9               6 with value 17               1 with value 27
% 1.07/1.24  ;     3 with value 11             27 with value 18               1 with value 28
% 1.07/1.24  ;     6 with value 12              5 with value 19               1 with value 30
% 1.07/1.24  ;    10 with value 13              3 with value 21               3 with value 32
% 1.07/1.24  ;    40 with value 14             14 with value 23               1 with value 36
% 1.07/1.24  ;     8 with value 15
% 1.07/1.24  ; The agenda of rows to give has 657 entries:
% 1.07/1.24  ;     3 with value (4 7)          28 with value (4 21)           5 with value (4 34)
% 1.07/1.24  ;    10 with value (4 8)          31 with value (4 22)          11 with value (4 35)
% 1.07/1.24  ;    12 with value (4 9)          20 with value (4 23)           1 with value (4 36)
% 1.07/1.24  ;    20 with value (4 10)          8 with value (4 24)           1 with value (4 38)
% 1.07/1.24  ;    11 with value (4 11)         28 with value (4 25)           8 with value (4 39)
% 1.07/1.24  ;    42 with value (4 12)         13 with value (4 26)           1 with value (4 40)
% 1.07/1.24  ;    74 with value (4 13)         12 with value (4 27)           1 with value (4 41)
% 1.07/1.24  ;    13 with value (4 14)          3 with value (4 28)           1 with value (4 42)
% 1.07/1.24  ;    20 with value (4 15)         11 with value (4 29)           1 with value (4 43)
% 1.07/1.24  ;    60 with value (4 16)          3 with value (4 30)           2 with value (4 44)
% 1.07/1.24  ;    24 with value (4 17)         20 with value (4 31)           1 with value (4 47)
% 1.07/1.24  ;    94 with value (4 18)          1 with value (4 32)           1 with value (4 51)
% 1.07/1.24  ;    16 with value (4 19)          8 with value (4 33)           1 with value (4 52)
% 1.07/1.24  ;    37 with value (4 20)
% 1.07/1.24  Evaluation took:
% 1.07/1.24    0.773 seconds of real time
% 1.07/1.24    0.747772 seconds of user run time
% 1.07/1.24    0.02539 seconds of system run time
% 1.07/1.24    [Run times include 0.019 seconds GC run time.]
% 1.07/1.24    0 calls to %EVAL
% 1.07/1.24    0 page faults and
% 1.07/1.24    48,004,216 bytes consed.
% 1.07/1.24  :PROOF-FOUND
% 1.07/1.24  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T16:53:39
% 1.07/1.24  :PROOF-FOUND
% 1.07/1.24  * 
%------------------------------------------------------------------------------