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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : CSR311_1 : TPTP v9.0.0. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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  : 300s
% DateTime : Tue Apr  1 01:53:45 AM UTC 2025

% Result   : Theorem 0.43s 0.61s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')

% Comments : 
%------------------------------------------------------------------------------
tff(24,axiom,
    ! [X: fluent,Y: $int] :
      ( ~ holdsAt(X,at_time(Y))
      | releasedAt(X,at_time($sum(Y,1)))
      | happens('SKOLEMAAAU5.event'(Y,X),at_time(Y))
      | holdsAt(X,at_time($sum(Y,1))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001_0.ax',keep_holding) ).

tff(25,plain,
    ! [X: fluent,Y: $int] :
      ( ~ holdsAt(X,at_time(Y))
      | releasedAt(X,at_time($sum(1,Y)))
      | happens('SKOLEMAAAU5.event'(Y,X),at_time(Y))
      | holdsAt(X,at_time($sum(1,Y))) ),
    inference('REWRITE',[status(thm)],[24,'CODE-FOR-$$SUM']) ).

tff(26,axiom,
    ! [X: fluent,Y: $int] :
      ( ~ holdsAt(X,at_time(Y))
      | releasedAt(X,at_time($sum(Y,1)))
      | terminates('SKOLEMAAAU5.event'(Y,X),X,at_time(Y))
      | holdsAt(X,at_time($sum(Y,1))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001_0.ax',keep_holding) ).

tff(27,plain,
    ! [X: fluent,Y: $int] :
      ( ~ holdsAt(X,at_time(Y))
      | releasedAt(X,at_time($sum(1,Y)))
      | terminates('SKOLEMAAAU5.event'(Y,X),X,at_time(Y))
      | holdsAt(X,at_time($sum(1,Y))) ),
    inference('REWRITE',[status(thm)],[26,'CODE-FOR-$$SUM']) ).

tff(38,axiom,
    ! [X: fluent,Y: $int] :
      ( releasedAt(X,at_time(Y))
      | releases('SKOLEMAAAU8.event'(Y,X),X,at_time(Y))
      | ~ releasedAt(X,at_time($sum(Y,1))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001_0.ax',keep_not_released) ).

tff(39,plain,
    ! [X: fluent,Y: $int] :
      ( releasedAt(X,at_time(Y))
      | releases('SKOLEMAAAU8.event'(Y,X),X,at_time(Y))
      | ~ releasedAt(X,at_time($sum(1,Y))) ),
    inference('REWRITE',[status(thm)],[38,'CODE-FOR-$$SUM']) ).

tff(40,axiom,
    ! [X: event,Y: $int,Z: fluent] :
      ( ~ happens(X,at_time(Y))
      | ~ initiates(X,Z,at_time(Y))
      | holdsAt(Z,at_time($sum(Y,1))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001_0.ax',happens_holds) ).

tff(41,plain,
    ! [X: event,Y: $int,Z: fluent] :
      ( ~ happens(X,at_time(Y))
      | ~ initiates(X,Z,at_time(Y))
      | holdsAt(Z,at_time($sum(1,Y))) ),
    inference('REWRITE',[status(thm)],[40,'CODE-FOR-$$SUM']) ).

tff(46,axiom,
    ! [X: event,Y: $int,Z: fluent] :
      ( ~ happens(X,at_time(Y))
      | ~ initiates(X,Z,at_time(Y))
      | ~ releasedAt(Z,at_time($sum(Y,1))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001_0.ax',happens_not_released) ).

tff(47,plain,
    ! [X: event,Y: $int,Z: fluent] :
      ( ~ happens(X,at_time(Y))
      | ~ initiates(X,Z,at_time(Y))
      | ~ releasedAt(Z,at_time($sum(1,Y))) ),
    inference('REWRITE',[status(thm)],[46,'CODE-FOR-$$SUM']) ).

tff(53,axiom,
    ! [X: $int] : ( filling != waterLevel(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001_1.ax',filling_not_waterLevel) ).

tff(54,axiom,
    ! [X: $int] : ( spilling != waterLevel(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001_1.ax',spilling_not_waterLevel) ).

tff(55,axiom,
    filling != spilling,
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001_1.ax',filling_not_spilling) ).

tff(76,axiom,
    ! [X: event,Y: fluent,Z: $int] :
      ( initiates(X,Y,at_time(Z))
      | ( X != tapOn )
      | ( Y != filling ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001_1.ax',initiates_all_defn) ).

tff(77,axiom,
    ! [X: event,Y: fluent,Z: $int] :
      ( initiates(X,Y,at_time(Z))
      | ( X != overflow )
      | ( Y != spilling ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001_1.ax',initiates_all_defn) ).

tff(82,axiom,
    ! [X: event,Y: fluent,Z: $int] :
      ( ~ terminates(X,Y,at_time(Z))
      | ( Y = filling ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001_1.ax',terminates_all_defn) ).

tff(86,axiom,
    ! [X: event,Y: fluent,Z: $int] :
      ( ~ releases(X,Y,at_time(Z))
      | ( Y = waterLevel('SKOLEMAAAU11.$int'(X,Y)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001_1.ax',releases_all_defn) ).

tff(93,axiom,
    ! [X: event,Y: $int] :
      ( ~ happens(X,at_time(Y))
      | ( Y = 0 )
      | holdsAt(waterLevel(3),at_time(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).

tff(95,axiom,
    ! [X: event,Y: $int] :
      ( ~ happens(X,at_time(Y))
      | ( Y = 0 )
      | ( X = overflow ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).

tff(96,axiom,
    ! [X: event,Y: $int] :
      ( happens(X,at_time(Y))
      | ( X != tapOn )
      | ( Y != 0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).

tff(97,axiom,
    ! [X: event,Y: $int] :
      ( happens(X,at_time(Y))
      | ~ holdsAt(waterLevel(3),at_time(Y))
      | ~ holdsAt(filling,at_time(Y))
      | ( X != overflow ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).

tff(103,axiom,
    ~ releasedAt(spilling,at_time(0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_released_spilling_0) ).

tff(104,negated_conjecture,
    ~ holdsAt(filling,at_time(3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filling_or_spilling) ).

tff(105,negated_conjecture,
    ~ holdsAt(spilling,at_time(3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filling_or_spilling) ).

tff(106,plain,
    ! [X: event,Y: $int] : ~ terminates(X,spilling,at_time(Y)),
    inference('UR-RESOLVE',[status(thm)],[82,55]) ).

tff(111,plain,
    happens(tapOn,at_time(0)),
    inference('HYPERRESOLVE',[status(thm)],[96,theory(equality),theory(equality)]) ).

tff(112,plain,
    ! [X: $int] : initiates(tapOn,filling,at_time(X)),
    inference('HYPERRESOLVE',[status(thm)],[76,theory(equality),theory(equality)]) ).

tff(113,plain,
    ! [X: $int] : initiates(overflow,spilling,at_time(X)),
    inference('HYPERRESOLVE',[status(thm)],[77,theory(equality),theory(equality)]) ).

tff(117,plain,
    ! [X: event,Y: $int] : ~ releases(X,filling,at_time(Y)),
    inference('UR-RESOLVE',[status(thm)],[86,53]) ).

tff(118,plain,
    ! [X: event,Y: $int] : ~ releases(X,spilling,at_time(Y)),
    inference('UR-RESOLVE',[status(thm)],[86,54]) ).

tff(133,plain,
    holdsAt(filling,at_time(1)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[41,112,111]),'CODE-FOR-$$SUM']) ).

tff(134,plain,
    ~ releasedAt(filling,at_time(1)),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[47,112,111]),'CODE-FOR-$$SUM']) ).

tff(136,plain,
    ~ releasedAt(spilling,at_time(1)),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[39,118,103]),'CODE-FOR-$$SUM']) ).

tff(137,plain,
    ( releasedAt(filling,at_time(2))
    | happens('SKOLEMAAAU5.event'(1,filling),at_time(1))
    | holdsAt(filling,at_time(2)) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[25,133]),'CODE-FOR-$$SUM']) ).

tff(139,plain,
    ~ releasedAt(filling,at_time(2)),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[39,134,117]),'CODE-FOR-$$SUM']) ).

tff(140,plain,
    ( happens('SKOLEMAAAU5.event'(1,filling),at_time(1))
    | holdsAt(filling,at_time(2)) ),
    inference('REWRITE',[status(thm)],[137,139]) ).

tff(142,plain,
    ~ releasedAt(spilling,at_time(2)),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[39,136,118]),'CODE-FOR-$$SUM']) ).

tff(148,plain,
    ~ releasedAt(filling,at_time(3)),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[39,139,117]),'CODE-FOR-$$SUM']) ).

tff(149,plain,
    ~ releasedAt(spilling,at_time(3)),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[39,142,118]),'CODE-FOR-$$SUM']) ).

tff(170,plain,
    ( happens('SKOLEMAAAU5.event'(1,filling),at_time(1))
    | happens('SKOLEMAAAU5.event'(2,filling),at_time(2)) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[25,140]),104,148,'CODE-FOR-$$SUM']) ).

tff(188,plain,
    ( happens('SKOLEMAAAU5.event'(1,filling),at_time(1))
    | holdsAt(waterLevel(3),at_time(2)) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[93,170]),theory(equality)]) ).

tff(195,plain,
    ( happens('SKOLEMAAAU5.event'(1,filling),at_time(1))
    | happens(overflow,at_time(2)) ),
    inference('HYPERRESOLVE',[status(thm)],[97,188,140,theory(equality)]) ).

tff(211,plain,
    ( happens(overflow,at_time(2))
    | ( 'SKOLEMAAAU5.event'(1,filling) = overflow ) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[95,195]),theory(equality)]) ).

tff(220,plain,
    'SKOLEMAAAU5.event'(1,filling) = overflow,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[41,211,113]),105,'CODE-FOR-$$SUM']) ).

tff(225,plain,
    ( happens(overflow,at_time(1))
    | happens(overflow,at_time(2)) ),
    inference('REWRITE',[status(thm)],[195,220,theory(equality)]) ).

tff(230,plain,
    happens(overflow,at_time(1)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[41,225,113]),105,'CODE-FOR-$$SUM']) ).

tff(232,plain,
    holdsAt(spilling,at_time(2)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[41,230,113]),'CODE-FOR-$$SUM']) ).

cnf(241,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[27,232]),105,106,149,'CODE-FOR-$$SUM']) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR311_1 : TPTP v9.0.0. Released v9.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Mar 31 16:21:33 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2025-03-31T16:21:33
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2025-03-31T16:21:33
% 0.20/0.50  WARNING:
% 0.20/0.50     |antitrajectory| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.61  
% 0.43/0.61  
% 0.43/0.61  #||
% 0.43/0.61  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.61  % SZS output start Refutation
% See solution above
% 0.43/0.61  ||#
% 0.43/0.61  
% 0.43/0.61  ; Summary of computation:
% 0.43/0.61  ;       688 formulas have been input or derived (from 173 formulas).
% 0.43/0.61  ;       241 (35%) were retained.  Of these,
% 0.43/0.61  ;           64 (27%) were simplified or subsumed later,
% 0.43/0.61  ;          177 (73%) are still being kept.
% 0.43/0.61  ; 
% 0.43/0.61  ; Run time in seconds excluding printing time:
% 0.43/0.61  ;     0.013  10%   Read assertion file          (1 call)
% 0.43/0.61  ;     0.004   3%   Assert                       (32 calls)
% 0.43/0.61  ;     0.020  15%   Process new row              (608 calls)
% 0.43/0.61  ;     0.033  25%   Resolution                   (344 calls)
% 0.43/0.61  ;     0.003   2%   Paramodulation               (172 calls)
% 0.43/0.61  ;     0.000   0%   Factoring                    (22 calls)
% 0.43/0.61  ;     0.001   1%   Condensing                   (183 calls)
% 0.43/0.61  ;     0.006   5%   Forward subsumption          (183 calls)
% 0.43/0.61  ;     0.002   2%   Backward subsumption         (141 calls)
% 0.43/0.61  ;     0.000   0%   Clause clause subsumption    (83 calls)
% 0.43/0.61  ;     0.013  10%   Forward simplification       (534 calls)
% 0.43/0.61  ;     0.004   3%   Backward simplification      (228 calls)
% 0.43/0.61  ;     0.002   2%   Ordering                     (433 calls)
% 0.43/0.61  ;     0.001   1%   Sortal reasoning             (2,274 calls)
% 0.43/0.61  ;     0.001   1%   Purity testing               (1 call)
% 0.43/0.61  ;     0.027  21%   Other
% 0.43/0.61  ;     0.130        Total
% 0.43/0.61  ;     0.134        Real time
% 0.43/0.61  ; 
% 0.43/0.61  ; Term-hash-array has 276 terms in all.
% 0.43/0.61  ; Feature-vector-row-index has 93 entries (117 at peak, 141 added, 48 deleted).
% 0.43/0.61  ; Feature-vector-row-index has 656 nodes (967 at peak, 1,229 added, 573 deleted).
% 0.43/0.61  ;  Retrieved 78 possibly forward subsuming rows in 183 calls.
% 0.43/0.61  ;  Retrieved 19 possibly backward subsumed rows in 141 calls.
% 0.43/0.61  ; Path-index has 268 entries (281 at peak, 349 added, 81 deleted).
% 0.43/0.61  ; Path-index has 652 nodes (660 at peak, 745 added, 93 deleted).
% 0.43/0.61  ; Trie-index has 268 entries (281 at peak, 349 added, 81 deleted).
% 0.43/0.61  ; Trie-index has 633 nodes (670 at peak, 816 added, 183 deleted).
% 0.43/0.61  ; Retrieved 369 generalization terms in 1,078 calls.
% 0.43/0.61  ; Retrieved 87 instance terms in 86 calls.
% 0.43/0.61  ; Retrieved 12,301 unifiable terms in 2,321 calls.
% 0.43/0.61  ; 
% 0.43/0.61  ; The agenda of rows to give has 21 entries:
% 0.43/0.61  ;     1 with value (4 14)          3 with value (4 22)           3 with value (4 28)
% 0.43/0.61  ;     1 with value (4 15)          3 with value (4 24)           1 with value (4 31)
% 0.43/0.61  ;     1 with value (4 17)          2 with value (4 25)           1 with value (4 33)
% 0.43/0.61  ;     3 with value (4 21)          2 with value (4 26)
% 0.43/0.61  Evaluation took:
% 0.43/0.61    0.134 seconds of real time
% 0.43/0.61    0.116242 seconds of user run time
% 0.43/0.61    0.018411 seconds of system run time
% 0.43/0.61    0 calls to %EVAL
% 0.43/0.61    0 page faults and
% 0.43/0.61    10,326,880 bytes consed.
% 0.43/0.61  :PROOF-FOUND
% 0.43/0.61  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2025-03-31T16:21:33
% 0.43/0.61  :PROOF-FOUND
% 0.43/0.61  * 
%------------------------------------------------------------------------------