TSTP Solution File: SYN033-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN033-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 : Thu Jul 21 11:56:36 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   3 RR)
%            Number of literals    :    8 (   0 equ;   4 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   0 con; 1-2 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,axiom,
    p(g(X,Y),X,Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(clause2,axiom,
    p(X,h(X,Y),Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

cnf(clause3,axiom,
    ( ~ p(X,Y,Z)
    | ~ p(U,V,Y)
    | ~ p(X,U,W)
    | p(W,V,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

cnf(prove_something,negated_conjecture,
    ~ p(k(X),X,k(X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_something) ).

cnf(5,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[clause3,clause1,clause2,clause1,prove_something]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n013.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 : Mon Jul 11 15:35:59 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-11T15:36:00
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-11T15:36:00
% 0.19/0.48  
% 0.19/0.49  ; Recognized possible associativity assertion (OR (NOT (|p| ?X ?Y ?Z)) (NOT (|p| ?U ?V ?Y)) (NOT (|p| ?X ?U ?W)) (|p| ?W ?V ?Z)).
% 0.19/0.49  
% 0.19/0.49  #||
% 0.19/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49  % SZS output start Refutation
% See solution above
% 0.19/0.49  ||#
% 0.19/0.49  
% 0.19/0.49  ; Summary of computation:
% 0.19/0.49  ;        23 formulas have been input or derived (from 5 formulas).
% 0.19/0.49  ;         5 (22%) were retained.  Of these,
% 0.19/0.49  ;            5 (100%) are still being kept.
% 0.19/0.49  ; 
% 0.19/0.49  ; Run time in seconds excluding printing time:
% 0.19/0.49  ;     0.001   4%   Read assertion file          (1 call)
% 0.19/0.49  ;     0.000   0%   Assert                       (4 calls)
% 0.19/0.49  ;     0.000   0%   Process new row              (5 calls)
% 0.19/0.49  ;     0.000   0%   Resolution                   (8 calls)
% 0.19/0.49  ;     0.000   0%   Paramodulation               (4 calls)
% 0.19/0.49  ;     0.000   0%   Condensing                   (1 call)
% 0.19/0.49  ;     0.000   0%   Forward subsumption          (1 call)
% 0.19/0.49  ;     0.000   0%   Backward subsumption         (1 call)
% 0.19/0.49  ;     0.000   0%   Forward simplification       (5 calls)
% 0.19/0.49  ;     0.001   4%   Backward simplification      (5 calls)
% 0.19/0.49  ;     0.001   4%   Sortal reasoning             (32 calls)
% 0.19/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.49  ;     0.021  88%   Other
% 0.19/0.49  ;     0.024        Total
% 0.19/0.49  ;     0.025        Real time
% 0.19/0.49  ; 
% 0.19/0.49  ; Term-hash-array has 10 terms in all.
% 0.19/0.49  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.19/0.49  ; Feature-vector-row-index has 3 nodes (3 at peak, 3 added, 0 deleted).
% 0.19/0.49  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.19/0.49  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.19/0.49  ; Path-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.19/0.49  ; Path-index has 34 nodes (34 at peak, 34 added, 0 deleted).
% 0.19/0.49  ; Trie-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.19/0.49  ; Trie-index has 27 nodes (27 at peak, 27 added, 0 deleted).
% 0.19/0.49  ; Retrieved 0 generalization terms in 6 calls.
% 0.19/0.49  ; Retrieved 3 instance terms in 3 calls.
% 0.19/0.49  ; Retrieved 157 unifiable terms in 51 calls.
% 0.19/0.49  ; 
% 0.19/0.49  ; The agenda of rows to process has 17 entries:
% 0.19/0.49  ;     1 with value 6               1 with value 11               7 with value 15
% 0.19/0.49  ;     1 with value 9               5 with value 14               2 with value 17
% 0.19/0.49  Evaluation took:
% 0.19/0.49    0.026 seconds of real time
% 0.19/0.49    0.024247 seconds of user run time
% 0.19/0.49    0.001924 seconds of system run time
% 0.19/0.49    0 calls to %EVAL
% 0.19/0.49    0 page faults and
% 0.19/0.49    1,453,680 bytes consed.
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T15:36:00
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  * 
%------------------------------------------------------------------------------