TSTP Solution File: GEO148-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO148-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n003.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 06:14:16 EDT 2022

% Result   : Unsatisfiable 0.59s 0.77s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   9 unt;   0 nHn;  11 RR)
%            Number of literals    :   19 (   1 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(connect_defn_1,axiom,
    ( ~ connect(X,Y,Z)
    | once(at_the_same_time(at(X,Z),at(Y,Z))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-3.ax',connect_defn_1) ).

cnf(trajectories_are_oriented_curves_12,axiom,
    trajectory_of(X) = ax3_sk1(X),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-3.ax',trajectories_are_oriented_curves_12) ).

cnf(homogeneous_behaviour_13,axiom,
    ( ~ once(at_the_same_time(at(X,Y),at(Z,U)))
    | ~ once(at_the_same_time(at(X,V),at(Z,W)))
    | ~ ordered_by(trajectory_of(X),Y,V)
    | ~ ordered_by(trajectory_of(Z),W,U) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-3.ax',homogeneous_behaviour_13) ).

cnf(98,plain,
    ( ~ once(at_the_same_time(at(X,Y),at(Z,U)))
    | ~ once(at_the_same_time(at(X,V),at(Z,W)))
    | ~ ordered_by(ax3_sk1(X),Y,V)
    | ~ ordered_by(ax3_sk1(Z),W,U) ),
    inference('REWRITE',[status(thm)],[homogeneous_behaviour_13,trajectories_are_oriented_curves_12,theory(equality)]) ).

cnf(t14_156,negated_conjecture,
    connect(sk28,sk29,sk27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_156) ).

cnf(t14_157,negated_conjecture,
    ordered_by(trajectory_of(sk29),sk31,sk27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_157) ).

cnf(102,plain,
    ordered_by(ax3_sk1(sk29),sk31,sk27),
    inference('REWRITE',[status(thm)],[t14_157,trajectories_are_oriented_curves_12,theory(equality)]) ).

cnf(t14_158,negated_conjecture,
    ordered_by(trajectory_of(sk28),sk27,sk30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_158) ).

cnf(104,plain,
    ordered_by(ax3_sk1(sk28),sk27,sk30),
    inference('REWRITE',[status(thm)],[t14_158,trajectories_are_oriented_curves_12,theory(equality)]) ).

cnf(t14_159,negated_conjecture,
    once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_159) ).

cnf(128,plain,
    once(at_the_same_time(at(sk28,sk27),at(sk29,sk27))),
    inference('HYPERRESOLVE',[status(thm)],[connect_defn_1,t14_156]) ).

cnf(388,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[98,t14_159,104,102]),128]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO148-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n003.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 : Fri Jun 17 16:46:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T16:46:57
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-17T16:46:57
% 0.59/0.77  
% 0.59/0.77  
% 0.59/0.77  #||
% 0.59/0.77  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.77  % SZS output start Refutation
% See solution above
% 0.59/0.77  ||#
% 0.59/0.77  
% 0.59/0.77  ; Summary of computation:
% 0.59/0.77  ;       619 formulas have been input or derived (from 102 formulas).
% 0.59/0.77  ;       388 (63%) were retained.  Of these,
% 0.59/0.77  ;            5 ( 1%) were simplified or subsumed later,
% 0.59/0.77  ;          383 (99%) are still being kept.
% 0.59/0.77  ; 
% 0.59/0.77  ; Run time in seconds excluding printing time:
% 0.59/0.77  ;     0.025   8%   Read assertion file          (1 call)
% 0.59/0.77  ;     0.003   1%   Assert                       (114 calls)
% 0.59/0.77  ;     0.054  17%   Process new row              (582 calls)
% 0.59/0.77  ;     0.031  10%   Resolution                   (202 calls)
% 0.59/0.77  ;     0.000   0%   Paramodulation               (101 calls)
% 0.59/0.77  ;     0.000   0%   Factoring                    (6 calls)
% 0.59/0.78  ;     0.024   8%   Condensing                   (534 calls)
% 0.59/0.78  ;     0.061  19%   Forward subsumption          (534 calls)
% 0.59/0.78  ;     0.026   8%   Backward subsumption         (358 calls)
% 0.59/0.78  ;     0.032  10%   Clause clause subsumption    (6,810 calls)
% 0.59/0.78  ;     0.023   7%   Forward simplification       (582 calls)
% 0.59/0.78  ;     0.000   0%   Backward simplification      (385 calls)
% 0.59/0.78  ;     0.005   2%   Ordering                     (2,268 calls)
% 0.59/0.78  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.59/0.78  ;     0.000   0%   Purity testing               (1 call)
% 0.59/0.78  ;     0.030  10%   Other
% 0.59/0.78  ;     0.314        Total
% 0.59/0.78  ;     0.316        Real time
% 0.59/0.78  ; 
% 0.59/0.78  ; Term-hash-array has 992 terms in all.
% 0.59/0.78  ; Feature-vector-row-index has 356 entries (356 at peak, 358 added, 2 deleted).
% 0.59/0.78  ; Feature-vector-row-index has 606 nodes (606 at peak, 612 added, 6 deleted).
% 0.59/0.78  ;  Retrieved 8,259 possibly forward subsuming rows in 534 calls.
% 0.59/0.78  ;  Retrieved 1,823 possibly backward subsumed rows in 358 calls.
% 0.59/0.78  ; Path-index has 994 entries (994 at peak, 1,000 added, 6 deleted).
% 0.59/0.78  ; Path-index has 1,647 nodes (1,647 at peak, 1,650 added, 3 deleted).
% 0.59/0.78  ; Trie-index has 994 entries (994 at peak, 1,000 added, 6 deleted).
% 0.59/0.78  ; Trie-index has 2,797 nodes (2,797 at peak, 2,802 added, 5 deleted).
% 0.59/0.78  ; Retrieved 707 generalization terms in 2,928 calls.
% 0.59/0.78  ; Retrieved 40 instance terms in 26 calls.
% 0.59/0.78  ; Retrieved 10,561 unifiable terms in 749 calls.
% 0.59/0.78  ; 
% 0.59/0.78  ; The agenda of input rows to give has 1 entry:
% 0.59/0.78  ;     1 with value 48
% 0.59/0.78  ; The agenda of rows to give has 280 entries:
% 0.59/0.78  ;    11 with value (4 7)           5 with value (4 39)           4 with value (4 100)
% 0.59/0.78  ;     1 with value (4 8)          11 with value (4 40)           4 with value (4 101)
% 0.59/0.78  ;     2 with value (4 10)          6 with value (4 43)           4 with value (4 103)
% 0.59/0.78  ;     2 with value (4 12)          3 with value (4 45)           4 with value (4 107)
% 0.59/0.78  ;     1 with value (4 13)          6 with value (4 46)          18 with value (4 108)
% 0.59/0.78  ;     2 with value (4 15)          1 with value (4 54)          24 with value (4 109)
% 0.59/0.78  ;     3 with value (4 16)          2 with value (4 55)           8 with value (4 110)
% 0.59/0.78  ;     6 with value (4 21)          6 with value (4 56)           4 with value (4 120)
% 0.59/0.78  ;     6 with value (4 22)          4 with value (4 67)           8 with value (4 121)
% 0.59/0.78  ;     4 with value (4 25)          8 with value (4 78)           1 with value (4 122)
% 0.59/0.78  ;     4 with value (4 26)          4 with value (4 83)           6 with value (4 123)
% 0.59/0.78  ;     1 with value (4 27)          8 with value (4 84)          12 with value (4 124)
% 0.59/0.78  ;     5 with value (4 29)          4 with value (4 92)           8 with value (4 125)
% 0.59/0.78  ;     9 with value (4 31)         16 with value (4 93)           1 with value (4 137)
% 0.59/0.78  ;     6 with value (4 34)         16 with value (4 94)           4 with value (4 138)
% 0.59/0.78  ;     2 with value (4 38)          1 with value (4 99)           4 with value (4 139)
% 0.59/0.78  Evaluation took:
% 0.59/0.78    0.316 seconds of real time
% 0.59/0.78    0.287127 seconds of user run time
% 0.59/0.78    0.02885 seconds of system run time
% 0.59/0.78    [Run times include 0.009 seconds GC run time.]
% 0.59/0.78    0 calls to %EVAL
% 0.59/0.78    0 page faults and
% 0.59/0.78    24,031,880 bytes consed.
% 0.59/0.78  :PROOF-FOUND
% 0.59/0.78  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T16:46:58
% 0.59/0.78  :PROOF-FOUND
% 0.59/0.78  * 
%------------------------------------------------------------------------------