TSTP Solution File: SWV242-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV242-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 21:32:16 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   9 unt;   0 nHn;   7 RR)
%            Number of literals    :   16 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   17 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_Message_Oanalz__mono_0,axiom,
    ( ~ c_lessequals(X,Y,tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oanalz(X),c_Message_Oanalz(Y),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).

cnf(cls_Set_OUn__upper1_0,axiom,
    c_lessequals(X,c_union(X,Y,Z),tc_set(Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__upper1_0) ).

cnf(cls_Set_OUn__upper2_0,axiom,
    c_lessequals(X,c_union(Y,X,Z),tc_set(Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__upper2_0) ).

cnf(cls_Set_Osubset__trans_0,axiom,
    ( ~ c_lessequals(X,Y,tc_set(Z))
    | ~ c_lessequals(U,X,tc_set(Z))
    | c_lessequals(U,Y,tc_set(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).

cnf(10,plain,
    c_lessequals(c_Message_Oanalz(X),c_Message_Oanalz(c_union(X,Y,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oanalz__mono_0,cls_Set_OUn__upper1_0]) ).

cnf(11,plain,
    c_lessequals(c_Message_Oanalz(X),c_Message_Oanalz(c_union(Y,X,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oanalz__mono_0,cls_Set_OUn__upper2_0]) ).

cnf(39,plain,
    c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,X,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference('HYPERRESOLVE',[status(thm)],[cls_Set_Osubset__trans_0,10,cls_conjecture_0]) ).

cnf(40,plain,
    ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference('REWRITE',[status(thm)],[cls_conjecture_2,39]) ).

cnf(46,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Set_Osubset__trans_0,40,cls_conjecture_1]),11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV242-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n017.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 21:23:55 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  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T21:23:55
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-15T21:23:55
% 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  ;        92 formulas have been input or derived (from 16 formulas).
% 0.20/0.52  ;        46 (50%) were retained.  Of these,
% 0.20/0.52  ;            1 ( 2%) were simplified or subsumed later,
% 0.20/0.52  ;           45 (98%) 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  ;     0.000   0%   Assert                       (7 calls)
% 0.20/0.52  ;     0.004  11%   Process new row              (81 calls)
% 0.20/0.52  ;     0.002   6%   Resolution                   (30 calls)
% 0.20/0.52  ;     0.000   0%   Paramodulation               (15 calls)
% 0.20/0.52  ;     0.000   0%   Condensing                   (3 calls)
% 0.20/0.52  ;     0.000   0%   Forward subsumption          (3 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (3 calls)
% 0.20/0.52  ;     0.002   6%   Forward simplification       (81 calls)
% 0.20/0.52  ;     0.001   3%   Backward simplification      (46 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  ;     0.024  69%   Other
% 0.20/0.52  ;     0.035        Total
% 0.20/0.52  ;     0.037        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 113 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 2 entries (3 at peak, 3 added, 1 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 15 nodes (35 at peak, 35 added, 20 deleted).
% 0.20/0.52  ;  Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.20/0.52  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.20/0.52  ; Path-index has 117 entries (117 at peak, 121 added, 4 deleted).
% 0.20/0.52  ; Path-index has 240 nodes (240 at peak, 243 added, 3 deleted).
% 0.20/0.52  ; Trie-index has 117 entries (117 at peak, 121 added, 4 deleted).
% 0.20/0.52  ; Trie-index has 434 nodes (434 at peak, 447 added, 13 deleted).
% 0.20/0.52  ; Retrieved 113 generalization terms in 84 calls.
% 0.20/0.52  ; Retrieved 47 instance terms in 42 calls.
% 0.20/0.52  ; Retrieved 576 unifiable terms in 221 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 4 entries:
% 0.20/0.52  ;     2 with value 16              2 with value 18
% 0.20/0.52  ; The agenda of rows to give has 30 entries:
% 0.20/0.52  ;     1 with value (4 10)          2 with value (4 16)           9 with value (4 18)
% 0.20/0.52  ;     3 with value (4 14)          8 with value (4 17)           3 with value (4 19)
% 0.20/0.52  ;     4 with value (4 15)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.037 seconds of real time
% 0.20/0.52    0.033247 seconds of user run time
% 0.20/0.52    0.003973 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    2,493,792 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T21:23:55
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------