TSTP Solution File: PLA017-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PLA017-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 : Mon Jul 18 17:32:04 EDT 2022

% Result   : Unsatisfiable 0.61s 0.76s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   12 (   9 unt;   0 nHn;  12 RR)
%            Number of literals    :   19 (   0 equ;   8 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :    9 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(pickup_1,axiom,
    ( holds(holding(X),do(pickup(X),Y))
    | ~ holds(empty,Y)
    | ~ holds(clear(X),Y)
    | ~ differ(X,table) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_1) ).

cnf(pickup_4,axiom,
    ( holds(clear(X),do(pickup(Y),Z))
    | ~ holds(clear(X),Z)
    | ~ differ(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_4) ).

cnf(putdown_2,axiom,
    ( holds(on(X,Y),do(putdown(X,Y),Z))
    | ~ holds(holding(X),Z)
    | ~ holds(clear(Y),Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_2) ).

cnf(differ_a_c,axiom,
    differ(a,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_c) ).

cnf(differ_a_table,axiom,
    differ(a,table),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_table) ).

cnf(initial_state5,axiom,
    holds(clear(a),s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state5) ).

cnf(initial_state7,axiom,
    holds(clear(c),s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state7) ).

cnf(initial_state8,axiom,
    holds(empty,s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state8) ).

cnf(prove_AC,negated_conjecture,
    ~ holds(on(a,c),X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_AC) ).

cnf(116,plain,
    holds(clear(c),do(pickup(a),s0)),
    inference('HYPERRESOLVE',[status(thm)],[pickup_4,initial_state7,differ_a_c]) ).

cnf(158,plain,
    holds(holding(a),do(pickup(a),s0)),
    inference('HYPERRESOLVE',[status(thm)],[pickup_1,initial_state8,initial_state5,differ_a_table]) ).

cnf(1844,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[putdown_2,116,prove_AC]),158]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PLA017-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n024.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  : 600
% 0.13/0.34  % DateTime : Tue May 31 23:49:06 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((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 2022-05-31T23:49:06
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-05-31T23:49:06
% 0.20/0.50  
% 0.20/0.50  ; Recognized commutativity assertion (OR (|differ| ?X ?Y) (NOT (|differ| ?Y ?X))).
% 0.61/0.76  ; Declaring differ to be commutative.
% 0.61/0.76  
% 0.61/0.76  #||
% 0.61/0.76  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.76  % SZS output start Refutation
% See solution above
% 0.61/0.76  ||#
% 0.61/0.76  
% 0.61/0.76  ; Summary of computation:
% 0.61/0.76  ;      3776 formulas have been input or derived (from 66 formulas).
% 0.61/0.76  ;      1844 (49%) were retained.  Of these,
% 0.61/0.76  ;         1844 (100%) are still being kept.
% 0.61/0.76  ; 
% 0.61/0.77  ; Run time in seconds excluding printing time:
% 0.61/0.77  ;     0.005   2%   Read assertion file          (1 call)
% 0.61/0.77  ;     0.001   0%   Assert                       (31 calls)
% 0.61/0.77  ;     0.151  53%   Process new row              (3,738 calls)
% 0.61/0.77  ;     0.045  16%   Resolution                   (130 calls)
% 0.61/0.77  ;     0.001   0%   Paramodulation               (65 calls)
% 0.61/0.77  ;     0.000   0%   Condensing                   (10 calls)
% 0.61/0.77  ;     0.000   0%   Forward subsumption          (10 calls)
% 0.61/0.77  ;     0.000   0%   Backward subsumption         (10 calls)
% 0.61/0.77  ;     0.030  11%   Forward simplification       (3,738 calls)
% 0.61/0.77  ;     0.011   4%   Backward simplification      (1,844 calls)
% 0.61/0.77  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.61/0.77  ;     0.000   0%   Purity testing               (1 call)
% 0.61/0.77  ;     0.039  14%   Other
% 0.61/0.77  ;     0.284        Total
% 0.61/0.77  ;     0.287        Real time
% 0.61/0.77  ; 
% 0.61/0.77  ; Term-hash-array has 3,673 terms in all.
% 0.61/0.77  ; Feature-vector-row-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.61/0.77  ; Feature-vector-row-index has 60 nodes (60 at peak, 60 added, 0 deleted).
% 0.61/0.77  ;  Retrieved 0 possibly forward subsuming rows in 10 calls.
% 0.61/0.77  ;  Retrieved 0 possibly backward subsumed rows in 10 calls.
% 0.61/0.77  ; Path-index has 3,680 entries (3,680 at peak, 3,680 added, 0 deleted).
% 0.61/0.77  ; Path-index has 333 nodes (333 at peak, 333 added, 0 deleted).
% 0.61/0.77  ; Trie-index has 3,680 entries (3,680 at peak, 3,680 added, 0 deleted).
% 0.61/0.77  ; Trie-index has 8,429 nodes (8,429 at peak, 8,429 added, 0 deleted).
% 0.61/0.77  ; Retrieved 1,894 generalization terms in 3,725 calls.
% 0.61/0.77  ; Retrieved 1,833 instance terms in 1,833 calls.
% 0.61/0.77  ; Retrieved 97,333 unifiable terms in 747 calls.
% 0.61/0.77  ; 
% 0.61/0.77  ; The agenda of rows to process has 28 entries:
% 0.61/0.77  ;     8 with value 15              8 with value 17               4 with value 19
% 0.61/0.77  ;     8 with value 16
% 0.61/0.77  ; The agenda of rows to give has 1778 entries:
% 0.61/0.77  ;    15 with value (4 11)         25 with value (4 14)         304 with value (4 17)
% 0.61/0.77  ;    62 with value (4 12)        112 with value (4 15)         384 with value (4 18)
% 0.61/0.77  ;    28 with value (4 13)        272 with value (4 16)         576 with value (4 19)
% 0.61/0.77  Evaluation took:
% 0.61/0.77    0.288 seconds of real time
% 0.61/0.77    0.253438 seconds of user run time
% 0.61/0.77    0.034054 seconds of system run time
% 0.61/0.77    [Run times include 0.015 seconds GC run time.]
% 0.61/0.77    0 calls to %EVAL
% 0.61/0.77    0 page faults and
% 0.61/0.77    18,436,936 bytes consed.
% 0.61/0.77  :PROOF-FOUND
% 0.61/0.77  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T23:49:06
% 0.61/0.77  :PROOF-FOUND
% 0.61/0.77  * 
%------------------------------------------------------------------------------