TSTP Solution File: CSR012+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : CSR012+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 23:17:59 EDT 2022

% Result   : Theorem 0.45s 0.64s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   26 (  15 unt;   2 nHn;  23 RR)
%            Number of literals    :   45 (  10 equ;  21 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :   31 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( ~ stoppedIn(X,Y,Z)
    | less(X,'SKOLEMAAAU2'(X,Z,Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).

cnf(3,axiom,
    ( ~ stoppedIn(X,Y,Z)
    | less('SKOLEMAAAU2'(X,Z,Y),Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).

cnf(11,axiom,
    ( ~ happens(X,Y)
    | ~ initiates(X,Z,Y)
    | ~ less(n0,U)
    | ~ trajectory(Z,Y,V,U)
    | stoppedIn(Y,Z,plus(Y,U))
    | holdsAt(V,plus(Y,U)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',change_holding) ).

cnf(43,axiom,
    ( initiates(X,Y,Z)
    | X != tapOn
    | Y != filling ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).

cnf(61,axiom,
    ( happens(X,Y)
    | X != tapOn
    | Y != n0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).

cnf(63,axiom,
    ( ~ holdsAt(waterLevel(X),Y)
    | Z != plus(X,U)
    | trajectory(filling,Y,waterLevel(Z),U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).

cnf(74,axiom,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).

cnf(83,axiom,
    ( ~ less_or_equal(X,Y)
    | less(X,Y)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).

cnf(85,axiom,
    ( less_or_equal(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).

cnf(86,axiom,
    ~ less(X,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less0) ).

cnf(87,axiom,
    ( ~ less(X,n1)
    | less_or_equal(X,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).

cnf(88,axiom,
    ( less(X,n1)
    | ~ less_or_equal(X,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).

cnf(106,axiom,
    ( ~ less(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).

cnf(108,hypothesis,
    holdsAt(waterLevel(n0),n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_0) ).

cnf(114,negated_conjecture,
    ~ holdsAt(waterLevel(n1),n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_1) ).

cnf(115,plain,
    less_or_equal(X,X),
    inference('HYPERRESOLVE',[status(thm)],[85,theory(equality)]) ).

cnf(130,plain,
    happens(tapOn,n0),
    inference('HYPERRESOLVE',[status(thm)],[61,theory(equality),theory(equality)]) ).

cnf(144,plain,
    initiates(tapOn,filling,X),
    inference('HYPERRESOLVE',[status(thm)],[43,theory(equality),theory(equality)]) ).

cnf(177,plain,
    trajectory(filling,n0,waterLevel(n1),n1),
    inference('HYPERRESOLVE',[status(thm)],[63,108,74]) ).

cnf(218,plain,
    less(n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[88,115]) ).

cnf(338,plain,
    stoppedIn(n0,filling,n1),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,177,130,144,218]),114,74,theory(equality)]) ).

cnf(339,plain,
    less('SKOLEMAAAU2'(n0,n1,filling),n1),
    inference('HYPERRESOLVE',[status(thm)],[3,338]) ).

cnf(340,plain,
    less(n0,'SKOLEMAAAU2'(n0,n1,filling)),
    inference('HYPERRESOLVE',[status(thm)],[2,338]) ).

cnf(492,plain,
    less_or_equal('SKOLEMAAAU2'(n0,n1,filling),n0),
    inference('HYPERRESOLVE',[status(thm)],[87,339]) ).

cnf(496,plain,
    n0 != 'SKOLEMAAAU2'(n0,n1,filling),
    inference('UR-RESOLVE',[status(thm)],[106,340]) ).

cnf(550,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[83,492,86]),496]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : CSR012+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n029.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 12:31:37 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-10T12:31:38
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-10T12:31:38
% 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.
% 0.45/0.64  ; Declaring plus to be commutative.
% 0.45/0.64  
% 0.45/0.64  #||
% 0.45/0.64  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.64  % SZS output start Refutation
% See solution above
% 0.45/0.64  ||#
% 0.45/0.64  
% 0.45/0.64  ; Summary of computation:
% 0.45/0.64  ;      2038 formulas have been input or derived (from 389 formulas).
% 0.45/0.64  ;       550 (27%) were retained.  Of these,
% 0.45/0.64  ;           22 ( 4%) were simplified or subsumed later,
% 0.45/0.64  ;          528 (96%) are still being kept.
% 0.45/0.64  ; 
% 0.45/0.64  ; Run time in seconds excluding printing time:
% 0.45/0.64  ;     0.012   6%   Read assertion file          (1 call)
% 0.45/0.64  ;     0.004   2%   Assert                       (55 calls)
% 0.45/0.64  ;     0.036  19%   Process new row              (1,673 calls)
% 0.45/0.64  ;     0.060  32%   Resolution                   (776 calls)
% 0.45/0.64  ;     0.005   3%   Paramodulation               (388 calls)
% 0.45/0.64  ;     0.000   0%   Factoring                    (20 calls)
% 0.45/0.64  ;     0.004   2%   Condensing                   (289 calls)
% 0.45/0.64  ;     0.007   4%   Forward subsumption          (289 calls)
% 0.45/0.64  ;     0.001   1%   Backward subsumption         (203 calls)
% 0.45/0.64  ;     0.002   1%   Clause clause subsumption    (160 calls)
% 0.45/0.64  ;     0.018  10%   Forward simplification       (1,672 calls)
% 0.45/0.65  ;     0.002   1%   Backward simplification      (550 calls)
% 0.45/0.65  ;     0.004   2%   Ordering                     (1,141 calls)
% 0.45/0.65  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.45/0.65  ;     0.001   1%   Purity testing               (1 call)
% 0.45/0.65  ;     0.029  16%   Other
% 0.45/0.65  ;     0.185        Total
% 0.45/0.65  ;     0.186        Real time
% 0.45/0.65  ; 
% 0.45/0.65  ; Term-hash-array has 660 terms in all.
% 0.45/0.65  ; Feature-vector-row-index has 184 entries (184 at peak, 203 added, 19 deleted).
% 0.45/0.65  ; Feature-vector-row-index has 766 nodes (766 at peak, 868 added, 102 deleted).
% 0.45/0.65  ;  Retrieved 170 possibly forward subsuming rows in 289 calls.
% 0.45/0.65  ;  Retrieved 44 possibly backward subsumed rows in 203 calls.
% 0.45/0.65  ; Path-index has 668 entries (668 at peak, 691 added, 23 deleted).
% 0.45/0.65  ; Path-index has 801 nodes (801 at peak, 820 added, 19 deleted).
% 0.45/0.65  ; Trie-index has 668 entries (668 at peak, 691 added, 23 deleted).
% 0.45/0.65  ; Trie-index has 1,228 nodes (1,228 at peak, 1,272 added, 44 deleted).
% 0.45/0.65  ; Retrieved 1,798 generalization terms in 2,818 calls.
% 0.45/0.65  ; Retrieved 384 instance terms in 346 calls.
% 0.45/0.65  ; Retrieved 49,541 unifiable terms in 6,535 calls.
% 0.45/0.65  ; 
% 0.45/0.65  ; The agenda of rows to process has 2 entries:
% 0.45/0.65  ;     1 with value 14              1 with value 22
% 0.45/0.65  ; The agenda of rows to give has 145 entries:
% 0.45/0.65  ;    18 with value (4 13)         16 with value (4 17)           5 with value (4 21)
% 0.45/0.65  ;    27 with value (4 14)          9 with value (4 18)           6 with value (4 23)
% 0.45/0.65  ;    24 with value (4 15)         16 with value (4 19)           1 with value (4 25)
% 0.45/0.65  ;    16 with value (4 16)          6 with value (4 20)           1 with value (4 35)
% 0.45/0.65  Evaluation took:
% 0.45/0.65    0.188 seconds of real time
% 0.45/0.65    0.167371 seconds of user run time
% 0.45/0.65    0.019918 seconds of system run time
% 0.45/0.65    0 calls to %EVAL
% 0.45/0.65    0 page faults and
% 0.45/0.65    11,007,008 bytes consed.
% 0.45/0.65  :PROOF-FOUND
% 0.45/0.65  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-10T12:31:38
% 0.45/0.65  :PROOF-FOUND
% 0.45/0.65  * 
%------------------------------------------------------------------------------