TSTP Solution File: SWV281-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV281-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 21:32:32 EDT 2022

% Result   : Unsatisfiable 0.21s 0.54s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (  10 unt;   1 nHn;   7 RR)
%            Number of literals    :   17 (   8 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   20 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    ( X = Y
    | c_in(c_Message_Omsg_ONonce(Y),c_Event_Oused(v_evs_H),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X),c_Event_Oused(v_evs),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_List_Olist_Odistinct__1_0,axiom,
    c_List_Olist_ONil != c_List_Olist_OCons(X,Y,Z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__1_0) ).

cnf(cls_Nat_Ole__add2_0,axiom,
    c_lessequals(X,c_plus(Y,X,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__add2_0) ).

cnf(cls_Nat_Onat__add__right__cancel_0,axiom,
    ( c_plus(X,Y,tc_nat) != c_plus(Z,Y,tc_nat)
    | X = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onat__add__right__cancel_0) ).

cnf(cls_Nat_Oop_A_L_Oadd__0_0,axiom,
    c_plus(c_0,X,tc_nat) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oop_A_L_Oadd__0_0) ).

cnf(cls_Public_ONonce__supply__lemma_0,axiom,
    ( ~ c_in(c_Message_Omsg_ONonce(X),c_Event_Oused(Y),tc_Message_Omsg)
    | ~ c_lessequals(v_sko__urX(Y),X,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).

cnf(7,plain,
    c_lessequals(X,X,tc_nat),
    inference('PARAMODULATE',[status(thm)],[cls_Nat_Ole__add2_0,cls_Nat_Oop_A_L_Oadd__0_0,theory(equality)]) ).

cnf(10,plain,
    ~ c_in(c_Message_Omsg_ONonce(c_plus(X,v_sko__urX(Y),tc_nat)),c_Event_Oused(Y),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Public_ONonce__supply__lemma_0,cls_Nat_Ole__add2_0]) ).

cnf(13,plain,
    ~ c_in(c_Message_Omsg_ONonce(v_sko__urX(X)),c_Event_Oused(X),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Public_ONonce__supply__lemma_0,7]) ).

cnf(16,plain,
    v_sko__urX(v_evs) = v_sko__urX(v_evs_H),
    inference('UR-RESOLVE',[status(thm)],[cls_conjecture_0,13,13]) ).

cnf(21,plain,
    v_sko__urX(v_evs) = c_plus(X,v_sko__urX(v_evs),tc_nat),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_conjecture_0,10,13]),16,theory(equality)]) ).

cnf(23,plain,
    X = Y,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_Nat_Onat__add__right__cancel_0,21,theory(equality)]),21,theory(equality)]) ).

cnf(24,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_List_Olist_Odistinct__1_0,23,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem  : SWV281-2 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jun 15 05:37:09 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50  * 
% 0.21/0.50  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T05:37:09
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-15T05:37:09
% 0.21/0.54  WARNING: Cannot use equality or equivalence (= c_0 ?X) as rewrite.
% 0.21/0.54  
% 0.21/0.54  
% 0.21/0.54  #||
% 0.21/0.54  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.54  % SZS output start Refutation
% See solution above
% 0.21/0.54  ||#
% 0.21/0.54  
% 0.21/0.54  ; Summary of computation:
% 0.21/0.54  ;        56 formulas have been input or derived (from 14 formulas).
% 0.21/0.54  ;        24 (43%) were retained.  Of these,
% 0.21/0.54  ;           15 (62%) were simplified or subsumed later,
% 0.21/0.54  ;            9 (38%) are still being kept.
% 0.21/0.54  ; 
% 0.21/0.54  ; Run time in seconds excluding printing time:
% 0.21/0.54  ;     0.001   3%   Read assertion file          (1 call)
% 0.21/0.54  ;     0.000   0%   Assert                       (6 calls)
% 0.21/0.54  ;     0.003   9%   Process new row              (48 calls)
% 0.21/0.54  ;     0.000   0%   Resolution                   (26 calls)
% 0.21/0.54  ;     0.001   3%   Paramodulation               (13 calls)
% 0.21/0.54  ;     0.000   0%   Factoring                    (1 call)
% 0.21/0.54  ;     0.002   6%   Condensing                   (19 calls)
% 0.21/0.54  ;     0.000   0%   Forward subsumption          (19 calls)
% 0.21/0.54  ;     0.000   0%   Backward subsumption         (11 calls)
% 0.21/0.54  ;     0.000   0%   Clause clause subsumption    (11 calls)
% 0.21/0.54  ;     0.001   3%   Forward simplification       (47 calls)
% 0.21/0.54  ;     0.001   3%   Backward simplification      (24 calls)
% 0.21/0.54  ;     0.000   0%   Ordering                     (54 calls)
% 0.21/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.54  ;     0.025  74%   Other
% 0.21/0.54  ;     0.034        Total
% 0.21/0.54  ;     0.036        Real time
% 0.21/0.54  ; 
% 0.21/0.54  ; Term-hash-array has 52 terms in all.
% 0.21/0.54  ; Feature-vector-row-index has 2 entries (9 at peak, 11 added, 9 deleted).
% 0.21/0.54  ; Feature-vector-row-index has 17 nodes (77 at peak, 87 added, 70 deleted).
% 0.21/0.54  ;  Retrieved 10 possibly forward subsuming rows in 19 calls.
% 0.21/0.54  ;  Retrieved 1 possibly backward subsumed row in 11 calls.
% 0.21/0.54  ; Path-index has 26 entries (54 at peak, 58 added, 32 deleted).
% 0.21/0.54  ; Path-index has 95 nodes (125 at peak, 127 added, 32 deleted).
% 0.21/0.54  ; Trie-index has 26 entries (54 at peak, 58 added, 32 deleted).
% 0.21/0.54  ; Trie-index has 72 nodes (146 at peak, 153 added, 81 deleted).
% 0.21/0.54  ; Retrieved 22 generalization terms in 104 calls.
% 0.21/0.54  ; Retrieved 24 instance terms in 12 calls.
% 0.21/0.54  ; Retrieved 150 unifiable terms in 108 calls.
% 0.21/0.54  ; 
% 0.21/0.54  ; The agenda of rows to process has 1 entry:
% 0.21/0.54  ;     1 with value 19
% 0.21/0.54  ; The agenda of rows to give has 2 entries:
% 0.21/0.54  ;     1 with value (4 8)           1 with value (4 19)
% 0.21/0.54  Evaluation took:
% 0.21/0.54    0.036 seconds of real time
% 0.21/0.54    0.028705 seconds of user run time
% 0.21/0.54    0.00697 seconds of system run time
% 0.21/0.54    0 calls to %EVAL
% 0.21/0.54    0 page faults and
% 0.21/0.54    2,337,688 bytes consed.
% 0.21/0.54  :PROOF-FOUND
% 0.21/0.54  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T05:37:09
% 0.21/0.54  :PROOF-FOUND
% 0.21/0.54  * 
%------------------------------------------------------------------------------