TSTP Solution File: SWV274-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV274-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 : Wed Jul 20 21:32:29 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (   9 unt;   2 nHn;  13 RR)
%            Number of literals    :   21 (   2 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Message_Osynth_OInj_0,axiom,
    ( ~ c_in(X,Y,tc_Message_Omsg)
    | c_in(X,c_Message_Osynth(Y),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).

cnf(cls_Message_Osynth__trans_0,axiom,
    ( ~ c_in(X,c_Message_Osynth(Y),tc_Message_Omsg)
    | ~ c_lessequals(Y,c_Message_Osynth(Z),tc_set(tc_Message_Omsg))
    | c_in(X,c_Message_Osynth(Z),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth__trans_0) ).

cnf(cls_Set_OinsertE_0,axiom,
    ( ~ c_in(X,c_insert(Y,Z,U),U)
    | c_in(X,Z,U)
    | X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_in(c_Main_OsubsetI__1(X,Y,Z),X,Z)
    | c_lessequals(X,Y,tc_set(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

cnf(cls_Set_OsubsetI_1,axiom,
    ( ~ c_in(c_Main_OsubsetI__1(X,Y,Z),Y,Z)
    | c_lessequals(X,Y,tc_set(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(12,plain,
    ~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_Osynth__trans_0,cls_conjecture_0,cls_conjecture_2]) ).

cnf(17,plain,
    ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Set_OsubsetI_1,12]) ).

cnf(18,plain,
    c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[12,cls_Set_OsubsetI_0]) ).

cnf(28,plain,
    ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),v_H,tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_Osynth_OInj_0,17]) ).

cnf(35,plain,
    c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) = v_X,
    inference('UR-RESOLVE',[status(thm)],[cls_Set_OinsertE_0,18,28]) ).

cnf(36,plain,
    $false,
    inference('REWRITE',[status(thm)],[17,cls_conjecture_1,35,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV274-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun 15 15:39:37 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-06-15T15:39:37
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-15T15:39:37
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;        51 formulas have been input or derived (from 22 formulas).
% 0.20/0.52  ;        36 (71%) were retained.  Of these,
% 0.20/0.52  ;            3 ( 8%) were simplified or subsumed later,
% 0.20/0.52  ;           33 (92%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.002   6%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.001   3%   Assert                       (8 calls)
% 0.20/0.52  ;     0.002   6%   Process new row              (36 calls)
% 0.20/0.52  ;     0.005  15%   Resolution                   (42 calls)
% 0.20/0.52  ;     0.001   3%   Paramodulation               (21 calls)
% 0.20/0.52  ;     0.000   0%   Factoring                    (2 calls)
% 0.20/0.52  ;     0.000   0%   Condensing                   (13 calls)
% 0.20/0.52  ;     0.000   0%   Forward subsumption          (13 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (13 calls)
% 0.20/0.52  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.20/0.52  ;     0.000   0%   Forward simplification       (36 calls)
% 0.20/0.52  ;     0.001   3%   Backward simplification      (36 calls)
% 0.20/0.52  ;     0.000   0%   Ordering                     (5 calls)
% 0.20/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.021  64%   Other
% 0.20/0.52  ;     0.033        Total
% 0.20/0.52  ;     0.036        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 69 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 120 nodes (120 at peak, 120 added, 0 deleted).
% 0.20/0.52  ;  Retrieved 1 possibly forward subsuming row in 13 calls.
% 0.20/0.52  ;  Retrieved 1 possibly backward subsumed row in 13 calls.
% 0.20/0.52  ; Path-index has 70 entries (73 at peak, 73 added, 3 deleted).
% 0.20/0.52  ; Path-index has 247 nodes (247 at peak, 247 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 70 entries (73 at peak, 73 added, 3 deleted).
% 0.20/0.52  ; Trie-index has 303 nodes (315 at peak, 315 added, 12 deleted).
% 0.20/0.52  ; Retrieved 1 generalization term in 36 calls.
% 0.20/0.52  ; Retrieved 22 instance terms in 22 calls.
% 0.20/0.52  ; Retrieved 240 unifiable terms in 212 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.20/0.52  ;     2 with value 0
% 0.20/0.52  ; The agenda of rows to process has 2 entries:
% 0.20/0.52  ;     1 with value 21              1 with value 30
% 0.20/0.52  ; The agenda of rows to give has 14 entries:
% 0.20/0.52  ;     1 with value (4 17)          1 with value (4 22)           1 with value (4 27)
% 0.20/0.52  ;     1 with value (4 19)          2 with value (4 23)           1 with value (4 29)
% 0.20/0.52  ;     2 with value (4 20)          1 with value (4 25)           1 with value (4 30)
% 0.20/0.52  ;     1 with value (4 21)          1 with value (4 26)           1 with value (4 33)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.036 seconds of real time
% 0.20/0.52    0.032599 seconds of user run time
% 0.20/0.52    0.003343 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    2,608,320 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T15:39:37
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------