TSTP Solution File: SET855-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET855-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 : Tue Jul 19 05:12:53 EDT 2022

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    7 (   2 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_Osubset__antisym_0,axiom,
    ( ~ c_lessequals(X,Y,tc_set(Z))
    | ~ c_lessequals(Y,X,tc_set(Z))
    | Y = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_4,negated_conjecture,
    v_n != c_Union(v_Y,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(5,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_Set_Osubset__antisym_0,cls_conjecture_2,cls_conjecture_3,cls_conjecture_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SET855-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n023.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 : Sun Jul 10 11:06:55 EDT 2022
% 0.12/0.33  % 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 2022-07-10T11:06:55
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-10T11:06:55
% 0.19/0.48  
% 0.19/0.48  
% 0.19/0.48  #||
% 0.19/0.48  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48  % 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  ;        14 formulas have been input or derived (from 5 formulas).
% 0.19/0.49  ;         5 (36%) 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  ;     0.001   4%   Assert                       (4 calls)
% 0.19/0.49  ;     0.001   4%   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  ;     0.000   0%   Backward simplification      (5 calls)
% 0.19/0.49  ;     0.000   0%   Ordering                     (1 call)
% 0.19/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.49  ;     0.023  88%   Other
% 0.19/0.49  ;     0.026        Total
% 0.19/0.49  ;     0.027        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 5 nodes (5 at peak, 5 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 13 entries (13 at peak, 13 added, 0 deleted).
% 0.19/0.49  ; Path-index has 48 nodes (48 at peak, 48 added, 0 deleted).
% 0.19/0.49  ; Trie-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.19/0.49  ; Trie-index has 42 nodes (42 at peak, 42 added, 0 deleted).
% 0.19/0.49  ; Retrieved 0 generalization terms in 1 call.
% 0.19/0.49  ; Retrieved 3 instance terms in 3 calls.
% 0.19/0.49  ; Retrieved 32 unifiable terms in 41 calls.
% 0.19/0.49  ; 
% 0.19/0.49  ; The agenda of rows to process has 5 entries:
% 0.19/0.49  ;     1 with value 10              4 with value 13
% 0.19/0.49  Evaluation took:
% 0.19/0.49    0.028 seconds of real time
% 0.19/0.49    0.025233 seconds of user run time
% 0.19/0.49    0.002054 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    1,465,736 bytes consed.
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T11:06:55
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  * 
%------------------------------------------------------------------------------