%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SWV284-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n007.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  : 300s
% DateTime : Thu May  9 17:44:37 EDT 2024

% Result   : Unsatisfiable 0.39s 0.55s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (   8 unt;   1 nHn;   7 RR)
%            Number of literals    :   20 (   0 equ;   8 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :   25 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Nat_Oadd__leE_0,axiom,
    ( ~ c_lessequals(c_plus(X4,X3,tc_nat),X5,tc_nat)
    | c_lessequals(X3,X5,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(X2,v_x(X2),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c0,plain,
    c_lessequals(X7,v_x(c_plus(X6,X7,tc_nat)),tc_nat),
    inference(resolution,[status(thm)],[cls_Nat_Oadd__leE_0,cls_conjecture_0]) ).

cnf(c1,plain,
    c_lessequals(X16,v_x(c_plus(X15,c_plus(X14,X16,tc_nat),tc_nat)),tc_nat),
    inference(resolution,[status(thm)],[c0,cls_Nat_Oadd__leE_0]) ).

cnf(c7,plain,
    c_lessequals(X34,v_x(c_plus(X33,c_plus(X32,c_plus(X31,X34,tc_nat),tc_nat),tc_nat)),tc_nat),
    inference(resolution,[status(thm)],[c1,cls_Nat_Oadd__leE_0]) ).

cnf(cls_conjecture_1,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_ONonce(X13),c_Event_Oused(v_list),tc_Message_Omsg)
    | ~ c_lessequals(v_N,X13,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_Nat_Oadd__leE_1,axiom,
    ( ~ c_lessequals(c_plus(X9,X8,tc_nat),X10,tc_nat)
    | c_lessequals(X9,X10,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).

cnf(c2,plain,
    c_lessequals(X12,v_x(c_plus(X12,X11,tc_nat)),tc_nat),
    inference(resolution,[status(thm)],[cls_Nat_Oadd__leE_1,cls_conjecture_0]) ).

cnf(cls_conjecture_2,negated_conjecture,
    ( c_in(c_Message_Omsg_ONonce(v_x(X30)),c_Event_Oused(v_list),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_x(X30)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_Message_Omsg__Nonce__supply_0,axiom,
    ( ~ c_in(c_Message_Omsg_ONonce(X52),c_Message_Oparts(c_insert(X51,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_lessequals(v_sko__upX(X51),X52,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).

cnf(c27,plain,
    ( ~ c_lessequals(v_sko__upX(v_msg),v_x(X61),tc_nat)
    | c_in(c_Message_Omsg_ONonce(v_x(X61)),c_Event_Oused(v_list),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[cls_Message_Omsg__Nonce__supply_0,cls_conjecture_2]) ).

cnf(c32,plain,
    c_in(c_Message_Omsg_ONonce(v_x(c_plus(v_sko__upX(v_msg),X67,tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c27,c2]) ).

cnf(c51,plain,
    ~ c_lessequals(v_N,v_x(c_plus(v_sko__upX(v_msg),X68,tc_nat)),tc_nat),
    inference(resolution,[status(thm)],[c32,cls_conjecture_1]) ).

cnf(c52,plain,
    $false,
    inference(resolution,[status(thm)],[c51,c7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV284-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n007.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  : 300
% 0.14/0.36  % DateTime : Thu May  9 05:53:08 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.39/0.55  % Version:  1.5
% 0.39/0.55  % SZS status Unsatisfiable
% 0.39/0.55  % SZS output start CNFRefutation
% See solution above
% 0.39/0.55  
% 0.39/0.55  % Initial clauses    : 6
% 0.39/0.55  % Processed clauses  : 26
% 0.39/0.55  % Factors computed   : 0
% 0.39/0.55  % Resolvents computed: 60
% 0.39/0.55  % Tautologies deleted: 0
% 0.39/0.55  % Forward subsumed   : 0
% 0.39/0.55  % Backward subsumed  : 0
% 0.39/0.55  % -------- CPU Time ---------
% 0.39/0.55  % User time          : 0.175 s
% 0.39/0.55  % System time        : 0.018 s
% 0.39/0.55  % Total time         : 0.193 s
%------------------------------------------------------------------------------