TSTP Solution File: CSR017+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : CSR017+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 : Fri Jul 15 23:18:00 EDT 2022

% Result   : Theorem 0.46s 0.67s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   23 (  14 unt;   2 nHn;  21 RR)
%            Number of literals    :   38 (  13 equ;  21 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(20,axiom,
    ( ~ happens(X,Y)
    | ~ terminates(X,Z,Y)
    | ~ holdsAt(Z,plus(Y,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).

cnf(53,axiom,
    ( terminates(X,Y,Z)
    | X != push
    | Y != spinning
    | happens(pull,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax',terminates_all_defn) ).

cnf(57,axiom,
    ( ~ happens(X,Y)
    | X = push
    | Y = n1
    | Y = n2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax',happens_all_defn) ).

cnf(60,axiom,
    ( happens(X,Y)
    | X != push
    | Y != n0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax',happens_all_defn) ).

cnf(64,axiom,
    push != pull,
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax',push_not_pull) ).

cnf(69,axiom,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).

cnf(80,axiom,
    ( less_or_equal(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).

cnf(83,axiom,
    ( less(X,n1)
    | ~ less_or_equal(X,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).

cnf(85,axiom,
    ( less(X,n2)
    | ~ less_or_equal(X,n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).

cnf(100,axiom,
    ( ~ less(X,Y)
    | ~ less(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).

cnf(101,axiom,
    ( ~ less(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).

cnf(107,negated_conjecture,
    holdsAt(spinning,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_spinning_1) ).

cnf(112,plain,
    less_or_equal(X,X),
    inference('HYPERRESOLVE',[status(thm)],[80,theory(equality)]) ).

cnf(114,plain,
    happens(push,n0),
    inference('HYPERRESOLVE',[status(thm)],[60,theory(equality),theory(equality)]) ).

cnf(162,plain,
    less(n1,n2),
    inference('HYPERRESOLVE',[status(thm)],[85,112]) ).

cnf(163,plain,
    less(n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[83,112]) ).

cnf(212,plain,
    ~ less(n2,n1),
    inference('UR-RESOLVE',[status(thm)],[100,162]) ).

cnf(214,plain,
    n0 != n1,
    inference('UR-RESOLVE',[status(thm)],[101,163]) ).

cnf(245,plain,
    ~ less_or_equal(n2,n0),
    inference('UR-RESOLVE',[status(thm)],[83,212]) ).

cnf(289,plain,
    n2 != n0,
    inference('UR-RESOLVE',[status(thm)],[80,245]) ).

cnf(326,plain,
    ~ happens(pull,n0),
    inference('UR-RESOLVE',[status(thm)],[57,289,64,214]) ).

cnf(479,plain,
    terminates(push,spinning,n0),
    inference('UR-RESOLVE',[status(thm)],[53,326,theory(equality),theory(equality)]) ).

cnf(646,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[20,479,114]),107,69,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : CSR017+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n027.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 10 05:17:13 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 2022-06-10T05:17:13
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-10T05:17:13
% 0.18/0.48  
% 0.18/0.48  ; Recognized commutativity assertion (= (|plus| ?X ?Y) (|plus| ?Y ?X)).
% 0.18/0.48  WARNING:
% 0.18/0.48     |antitrajectory| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.48  WARNING:
% 0.18/0.48     |trajectory| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.67  ; Declaring plus to be commutative.
% 0.46/0.67  
% 0.46/0.67  #||
% 0.46/0.67  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.67  % SZS output start Refutation
% See solution above
% 0.46/0.68  ||#
% 0.46/0.68  
% 0.46/0.68  ; Summary of computation:
% 0.46/0.68  ;      2999 formulas have been input or derived (from 356 formulas).
% 0.46/0.68  ;       646 (22%) were retained.  Of these,
% 0.46/0.68  ;           44 ( 7%) were simplified or subsumed later,
% 0.46/0.68  ;          602 (93%) are still being kept.
% 0.46/0.68  ; 
% 0.46/0.68  ; Run time in seconds excluding printing time:
% 0.46/0.68  ;     0.011   5%   Read assertion file          (1 call)
% 0.46/0.68  ;     0.003   1%   Assert                       (48 calls)
% 0.46/0.68  ;     0.029  13%   Process new row              (2,637 calls)
% 0.46/0.68  ;     0.070  33%   Resolution                   (710 calls)
% 0.46/0.68  ;     0.004   2%   Paramodulation               (355 calls)
% 0.46/0.68  ;     0.000   0%   Factoring                    (15 calls)
% 0.46/0.68  ;     0.005   2%   Condensing                   (497 calls)
% 0.46/0.68  ;     0.014   7%   Forward subsumption          (497 calls)
% 0.46/0.68  ;     0.005   2%   Backward subsumption         (196 calls)
% 0.46/0.68  ;     0.003   1%   Clause clause subsumption    (354 calls)
% 0.46/0.68  ;     0.027  13%   Forward simplification       (2,595 calls)
% 0.46/0.68  ;     0.005   2%   Backward simplification      (646 calls)
% 0.46/0.68  ;     0.002   1%   Ordering                     (1,486 calls)
% 0.46/0.68  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.46/0.68  ;     0.001   0%   Purity testing               (1 call)
% 0.46/0.68  ;     0.036  17%   Other
% 0.46/0.68  ;     0.215        Total
% 0.46/0.68  ;     0.224        Real time
% 0.46/0.68  ; 
% 0.46/0.68  ; Term-hash-array has 709 terms in all.
% 0.46/0.68  ; Feature-vector-row-index has 160 entries (160 at peak, 196 added, 36 deleted).
% 0.46/0.68  ; Feature-vector-row-index has 527 nodes (527 at peak, 710 added, 183 deleted).
% 0.46/0.68  ;  Retrieved 522 possibly forward subsuming rows in 497 calls.
% 0.46/0.68  ;  Retrieved 58 possibly backward subsumed rows in 196 calls.
% 0.46/0.68  ; Path-index has 696 entries (696 at peak, 746 added, 50 deleted).
% 0.46/0.68  ; Path-index has 649 nodes (649 at peak, 699 added, 50 deleted).
% 0.46/0.68  ; Trie-index has 696 entries (696 at peak, 746 added, 50 deleted).
% 0.46/0.68  ; Trie-index has 1,399 nodes (1,399 at peak, 1,520 added, 121 deleted).
% 0.46/0.68  ; Retrieved 3,237 generalization terms in 4,835 calls.
% 0.46/0.68  ; Retrieved 492 instance terms in 449 calls.
% 0.46/0.68  ; Retrieved 47,032 unifiable terms in 6,635 calls.
% 0.46/0.68  ; 
% 0.46/0.68  ; The agenda of rows to process has 50 entries:
% 0.46/0.68  ;     1 with value 16             22 with value 21              10 with value 25
% 0.46/0.68  ;     9 with value 17              1 with value 24               4 with value 29
% 0.46/0.68  ;     3 with value 20
% 0.46/0.68  ; The agenda of rows to give has 258 entries:
% 0.46/0.68  ;    21 with value (4 12)         46 with value (4 16)          14 with value (4 20)
% 0.46/0.68  ;    49 with value (4 13)         14 with value (4 17)           9 with value (4 22)
% 0.46/0.68  ;    43 with value (4 14)         20 with value (4 18)          12 with value (4 23)
% 0.46/0.68  ;    19 with value (4 15)          8 with value (4 19)           3 with value (4 24)
% 0.46/0.68  Evaluation took:
% 0.46/0.68    0.225 seconds of real time
% 0.46/0.68    0.197353 seconds of user run time
% 0.46/0.68    0.026926 seconds of system run time
% 0.46/0.68    [Run times include 0.008 seconds GC run time.]
% 0.46/0.68    0 calls to %EVAL
% 0.46/0.68    0 page faults and
% 0.46/0.68    12,669,152 bytes consed.
% 0.46/0.68  :PROOF-FOUND
% 0.46/0.68  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-10T05:17:13
% 0.46/0.68  :PROOF-FOUND
% 0.46/0.68  * 
%------------------------------------------------------------------------------