TSTP Solution File: CSR018+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : CSR018+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 0.42s 0.58s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   20 (  11 unt;   3 nHn;  17 RR)
%            Number of literals    :   35 (  13 equ;  17 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   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(19,axiom,
    ( ~ happens(X,Y)
    | ~ initiates(X,Z,Y)
    | holdsAt(Z,plus(Y,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_holds) ).

cnf(37,axiom,
    ( initiates(X,Y,Z)
    | X != pull
    | Y != backwards
    | happens(push,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax',initiates_all_defn) ).

cnf(58,axiom,
    ( ~ happens(X,Y)
    | Y = n0
    | X = pull
    | Y = n2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax',happens_all_defn) ).

cnf(61,axiom,
    ( happens(X,Y)
    | X != pull
    | Y != n1 ),
    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(72,axiom,
    plus(n1,n1) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_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(101,axiom,
    ( ~ less(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).

cnf(107,negated_conjecture,
    ~ holdsAt(backwards,n2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',backwards_2) ).

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

cnf(115,plain,
    happens(pull,n1),
    inference('HYPERRESOLVE',[status(thm)],[61,theory(equality),theory(equality)]) ).

cnf(139,plain,
    ( initiates(pull,backwards,X)
    | happens(push,X) ),
    inference('HYPERRESOLVE',[status(thm)],[37,theory(equality),theory(equality)]) ).

cnf(160,plain,
    less(n1,n2),
    inference('HYPERRESOLVE',[status(thm)],[85,112]) ).

cnf(161,plain,
    less(n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[83,112]) ).

cnf(209,plain,
    n1 != n2,
    inference('UR-RESOLVE',[status(thm)],[101,160]) ).

cnf(212,plain,
    n0 != n1,
    inference('UR-RESOLVE',[status(thm)],[101,161]) ).

cnf(245,plain,
    ~ happens(push,n1),
    inference('UR-RESOLVE',[status(thm)],[58,212,64,209]) ).

cnf(330,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[19,139,115]),107,72,245,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR018+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.13/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun 11 05:29:35 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-11T05:29:35
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-11T05:29:35
% 0.19/0.48  
% 0.19/0.48  ; Recognized commutativity assertion (= (|plus| ?X ?Y) (|plus| ?Y ?X)).
% 0.19/0.48  WARNING:
% 0.19/0.48     |antitrajectory| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.19/0.48  WARNING:
% 0.19/0.48     |trajectory| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.58  ; Declaring plus to be commutative.
% 0.42/0.58  
% 0.42/0.58  #||
% 0.42/0.58  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.58  % SZS output start Refutation
% See solution above
% 0.43/0.58  ||#
% 0.43/0.58  
% 0.43/0.58  ; Summary of computation:
% 0.43/0.58  ;      1236 formulas have been input or derived (from 222 formulas).
% 0.43/0.58  ;       330 (27%) were retained.  Of these,
% 0.43/0.58  ;           13 ( 4%) were simplified or subsumed later,
% 0.43/0.58  ;          317 (96%) are still being kept.
% 0.43/0.58  ; 
% 0.43/0.58  ; Run time in seconds excluding printing time:
% 0.43/0.58  ;     0.011   9%   Read assertion file          (1 call)
% 0.43/0.58  ;     0.005   4%   Assert                       (48 calls)
% 0.43/0.58  ;     0.020  16%   Process new row              (1,060 calls)
% 0.43/0.58  ;     0.032  26%   Resolution                   (442 calls)
% 0.43/0.58  ;     0.003   2%   Paramodulation               (221 calls)
% 0.43/0.58  ;     0.000   0%   Factoring                    (4 calls)
% 0.43/0.58  ;     0.004   3%   Condensing                   (237 calls)
% 0.43/0.58  ;     0.006   5%   Forward subsumption          (237 calls)
% 0.43/0.58  ;     0.000   0%   Backward subsumption         (145 calls)
% 0.43/0.58  ;     0.001   1%   Clause clause subsumption    (130 calls)
% 0.43/0.58  ;     0.008   7%   Forward simplification       (1,058 calls)
% 0.43/0.58  ;     0.001   1%   Backward simplification      (330 calls)
% 0.43/0.58  ;     0.002   2%   Ordering                     (552 calls)
% 0.43/0.58  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.43/0.58  ;     0.001   1%   Purity testing               (1 call)
% 0.43/0.58  ;     0.029  24%   Other
% 0.43/0.58  ;     0.123        Total
% 0.43/0.58  ;     0.125        Real time
% 0.43/0.58  ; 
% 0.43/0.58  ; Term-hash-array has 371 terms in all.
% 0.43/0.58  ; Feature-vector-row-index has 132 entries (132 at peak, 145 added, 13 deleted).
% 0.43/0.58  ; Feature-vector-row-index has 407 nodes (407 at peak, 485 added, 78 deleted).
% 0.43/0.58  ;  Retrieved 186 possibly forward subsuming rows in 237 calls.
% 0.43/0.58  ;  Retrieved 54 possibly backward subsumed rows in 145 calls.
% 0.43/0.58  ; Path-index has 376 entries (376 at peak, 394 added, 18 deleted).
% 0.43/0.58  ; Path-index has 438 nodes (438 at peak, 467 added, 29 deleted).
% 0.43/0.58  ; Trie-index has 376 entries (376 at peak, 394 added, 18 deleted).
% 0.43/0.58  ; Trie-index has 646 nodes (646 at peak, 703 added, 57 deleted).
% 0.43/0.58  ; Retrieved 1,132 generalization terms in 1,566 calls.
% 0.43/0.58  ; Retrieved 223 instance terms in 184 calls.
% 0.43/0.58  ; Retrieved 23,626 unifiable terms in 3,274 calls.
% 0.43/0.58  ; 
% 0.43/0.58  ; The agenda of rows to process has 47 entries:
% 0.43/0.58  ;     1 with value 13              4 with value 18               4 with value 23
% 0.43/0.58  ;    14 with value 14              8 with value 20               8 with value 27
% 0.43/0.58  ;     2 with value 16              6 with value 22
% 0.43/0.58  ; The agenda of rows to give has 95 entries:
% 0.43/0.58  ;     1 with value (4 8)           5 with value (4 14)           4 with value (4 17)
% 0.43/0.58  ;    41 with value (4 10)          5 with value (4 15)           6 with value (4 18)
% 0.43/0.58  ;     6 with value (4 12)         14 with value (4 16)           3 with value (4 24)
% 0.43/0.58  ;    10 with value (4 13)
% 0.43/0.58  Evaluation took:
% 0.43/0.58    0.125 seconds of real time
% 0.43/0.58    0.111066 seconds of user run time
% 0.43/0.58    0.014257 seconds of system run time
% 0.43/0.58    0 calls to %EVAL
% 0.43/0.58    0 page faults and
% 0.43/0.58    7,051,064 bytes consed.
% 0.43/0.58  :PROOF-FOUND
% 0.43/0.58  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-11T05:29:36
% 0.43/0.58  :PROOF-FOUND
% 0.43/0.58  * 
%------------------------------------------------------------------------------