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Prover9---2026-6A.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : SWV286-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 09:07:16 AM UTC 2026

% Result   : Unsatisfiable 19.73s 3.31s
% Output   : CNFRefutation 19.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   24 (  15 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   43 (  20   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;  11 con; 0-5 aty)
%            Number of variables   :   34 (   4 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cls_conjecture_5,axiom,
    ! [VAR_0,VAR_1] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(VAR_0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(VAR_1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('theBenchmark.p',cls_conjecture_5) ).

cnf(c_996,plain,
    ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(B,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(clausify,[status(thm)],[cls_conjecture_5]) ).

fof(cls_conjecture_4,axiom,
    c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('theBenchmark.p',cls_conjecture_4) ).

cnf(c_997,plain,
    c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    inference(clausify,[status(thm)],[cls_conjecture_4]) ).

fof(cls_conjecture_3,axiom,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('theBenchmark.p',cls_conjecture_3) ).

cnf(c_998,plain,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(clausify,[status(thm)],[cls_conjecture_3]) ).

fof(cls_conjecture_2,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('theBenchmark.p',cls_conjecture_2) ).

cnf(c_999,plain,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(clausify,[status(thm)],[cls_conjecture_2]) ).

fof(cls_conjecture_1,axiom,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('theBenchmark.p',cls_conjecture_1) ).

cnf(c_1000,plain,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(clausify,[status(thm)],[cls_conjecture_1]) ).

fof(cls_conjecture_0,axiom,
    c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('theBenchmark.p',cls_conjecture_0) ).

cnf(c_1001,plain,
    c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(clausify,[status(thm)],[cls_conjecture_0]) ).

fof(cls_OtwayRees_OOR3__imp__OR2__dest_0,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
      ( c_in(c_Event_Oevent_OSays(VAR_1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(VAR_2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_1),c_Message_Omsg_OMPair(v_sko__vEb(VAR_3,VAR_1,VAR_2,VAR_5,VAR_0),c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_1),c_Message_Omsg_OMPair(VAR_2,c_Message_Omsg_OMPair(VAR_5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_3),c_Message_Omsg_OAgent(VAR_1)))))))))),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(VAR_1,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,VAR_1,c_Message_Omsg_OMPair(VAR_2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_3),c_Message_Omsg_OMPair(VAR_2,c_Message_Omsg_OKey(VAR_4))),c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_1),c_Message_Omsg_OMPair(VAR_5,c_Message_Omsg_OKey(VAR_4)))))),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(VAR_0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    file('theBenchmark.p',cls_OtwayRees_OOR3__imp__OR2__dest_0) ).

cnf(c_1004,plain,
    ( c_in(c_Event_Oevent_OSays(B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(v_sko__vEb(D,B,C,F,A),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OAgent(B)))))))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(B,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(D),c_Message_Omsg_OMPair(C,c_Message_Omsg_OKey(E))),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(F,c_Message_Omsg_OKey(E)))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(clausify,[status(thm)],[cls_OtwayRees_OOR3__imp__OR2__dest_0]) ).

fof(cls_OtwayRees_OA__trusts__OR4__dest_0,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,VAR_5,c_Message_Omsg_OMPair(VAR_3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_2),c_Message_Omsg_OMPair(VAR_3,c_Message_Omsg_OKey(VAR_4))),c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_5),c_Message_Omsg_OMPair(v_sko__u8o(VAR_2,VAR_5,VAR_4,VAR_3,VAR_0),c_Message_Omsg_OKey(VAR_4)))))),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(VAR_2,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Event_Oevent_OSays(VAR_2,VAR_5,c_Message_Omsg_OMPair(VAR_3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_5),c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_2),c_Message_Omsg_OMPair(VAR_3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_2),c_Message_Omsg_OAgent(VAR_5)))))))),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(VAR_1,VAR_2,c_Message_Omsg_OMPair(VAR_3,c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_2),c_Message_Omsg_OMPair(VAR_3,c_Message_Omsg_OKey(VAR_4))))),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(VAR_0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    file('theBenchmark.p',cls_OtwayRees_OA__trusts__OR4__dest_0) ).

cnf(c_1005,plain,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,F,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OKey(E))),c_Message_Omsg_OCrypt(c_Public_OshrK(F),c_Message_Omsg_OMPair(v_sko__u8o(C,F,E,D,A),c_Message_Omsg_OKey(E)))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(C,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Event_Oevent_OSays(C,F,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(F),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OAgent(F)))))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(B,C,c_Message_Omsg_OMPair(D,c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OKey(E))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(clausify,[status(thm)],[cls_OtwayRees_OA__trusts__OR4__dest_0]) ).

cnf(c_4331,plain,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,E,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OKey(D))),c_Message_Omsg_OCrypt(c_Public_OshrK(E),c_Message_Omsg_OMPair(v_sko__u8o(B,E,D,C,v_evs),c_Message_Omsg_OKey(D)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(B,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Event_Oevent_OSays(B,E,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(E)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OMPair(C,c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OKey(D))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(resolve,[status(thm)],[c_1005,c_997]) ).

cnf(c_4332,plain,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(A),c_Message_Omsg_OMPair(v_sko__u8o(v_A,A,v_K,v_NA,v_evs),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Event_Oevent_OSays(v_A,A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(A)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(resolve,[status(thm)],[c_4331,c_1001]) ).

cnf(c_4333,plain,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolve,[status(thm)],[c_4332,c_1000]) ).

cnf(c_1788,plain,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(resolve,[status(thm)],[c_999,c_4333]) ).

cnf(c_4334,plain,
    ( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_sko__vEb(v_A,v_B,v_NA,v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),v_evs),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(v_B,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolve,[status(thm)],[c_1788,c_1004]) ).

cnf(c_4335,plain,
    ( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_sko__vEb(v_A,v_B,v_NA,v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),v_evs),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolve,[status(thm)],[c_997,c_4334]) ).

cnf(c_4336,plain,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_sko__vEb(v_A,v_B,v_NA,v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),v_evs),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(resolve,[status(thm)],[c_998,c_4335]) ).

cnf(c_4330,plain,
    $false,
    inference(resolve,[status(thm)],[c_996,c_4336]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV286-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34  % Computer : n007.cluster.edu
% 0.09/0.34  % Model    : x86_64 x86_64
% 0.09/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34  % Memory   : 8046.5625MB
% 0.09/0.34  % OS       : Linux 6.8.0-71-generic
% 0.09/0.34  % CPULimit : 300
% 0.09/0.34  % WCLimit  : 300
% 0.09/0.34  % DateTime : Sat Sep 26 13:25:53 UTC 2026
% 0.09/0.34  % CPUTime  : 
% 0.09/0.35  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.35  % Process 3837078 was started by sandbox on n007,
% 0.09/0.35  % Sat Sep 26 13:25:53 2026
% 0.09/0.35  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/0.38  
% 0.11/0.38  % From the command line: assign(max_seconds, 300).
% 19.73/3.31  
% 19.73/3.31  % given #500 (I,wt=21): 1263 c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(A)) = c_0 # tptp_name(cls_List_Olength__0__conv__iff2_0) # clausal_fof(1).  [assumption].
% 19.73/3.31  
% 19.73/3.31  % SZS status Unsatisfiable for theBenchmark
% 19.73/3.31  
% 19.73/3.31  % Proof 1 at 2.32 (+ 0.16) seconds.
% 19.73/3.31  % Length of proof is 10.
% 19.73/3.31  % Level of proof is 2.
% 19.73/3.31  % Maximum clause weight is 154.000.
% 19.73/3.31  % Given clauses 983.
% 19.73/3.31  
% 19.73/3.31  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------