%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV283-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n019.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 21:16:31 EDT 2022

% Result   : Unsatisfiable 0.37s 0.62s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Nat_Oadd__leE_1,axiom,
    ( ~ c_lessequals(c_plus(X12,X11,tc_nat),X10,tc_nat)
    | c_lessequals(X12,X10,tc_nat) ),
    input ).

cnf(cls_conjecture_4,negated_conjecture,
    ( c_lessequals(X2,v_xd(X2),tc_nat)
    | c_lessequals(X3,v_xd(X3),tc_nat) ),
    input ).

cnf(c0,plain,
    c_lessequals(X4,v_xd(X4),tc_nat),
    inference(factor,status(thm),[cls_conjecture_4]) ).

cnf(c4,plain,
    c_lessequals(X16,v_xd(c_plus(X16,X15,tc_nat)),tc_nat),
    inference(resolution,status(thm),[cls_Nat_Oadd__leE_1,c0]) ).

cnf(c6,plain,
    c_lessequals(X31,v_xd(c_plus(c_plus(X31,X29,tc_nat),X30,tc_nat)),tc_nat),
    inference(resolution,status(thm),[c4,cls_Nat_Oadd__leE_1]) ).

cnf(c20,plain,
    c_lessequals(X63,v_xd(c_plus(c_plus(c_plus(X63,X60,tc_nat),X62,tc_nat),X61,tc_nat)),tc_nat),
    inference(resolution,status(thm),[c6,cls_Nat_Oadd__leE_1]) ).

cnf(cls_conjecture_0,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_ONonce(X17),c_Event_Oused(v_list),tc_Message_Omsg)
    | ~ c_lessequals(v_x,X17,tc_nat) ),
    input ).

cnf(cls_Nat_Oadd__leE_0,axiom,
    ( ~ c_lessequals(c_plus(X7,X6,tc_nat),X5,tc_nat)
    | c_lessequals(X6,X5,tc_nat) ),
    input ).

cnf(c1,plain,
    c_lessequals(X9,v_xd(c_plus(X8,X9,tc_nat)),tc_nat),
    inference(resolution,status(thm),[cls_Nat_Oadd__leE_0,c0]) ).

cnf(cls_Message_Omsg__Nonce__supply_0,axiom,
    ( ~ c_in(c_Message_Omsg_ONonce(X13),c_Message_Oparts(c_insert(X14,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_lessequals(v_sko__upX(X14),X13,tc_nat) ),
    input ).

cnf(cls_conjecture_9,negated_conjecture,
    ( c_in(c_Message_Omsg_ONonce(v_xd(X28)),c_Event_Oused(v_list),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_xd(X28)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_xd(X27)),c_Event_Oused(v_list),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_xd(X27)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
    input ).

cnf(c13,plain,
    ( c_in(c_Message_Omsg_ONonce(v_xd(X74)),c_Event_Oused(v_list),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_xd(X74)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(factor,status(thm),[cls_conjecture_9]) ).

cnf(c42,plain,
    ( c_in(c_Message_Omsg_ONonce(v_xd(X75)),c_Event_Oused(v_list),tc_Message_Omsg)
    | ~ c_lessequals(v_sko__upX(v_xc),v_xd(X75),tc_nat) ),
    inference(resolution,status(thm),[c13,cls_Message_Omsg__Nonce__supply_0]) ).

cnf(c43,plain,
    c_in(c_Message_Omsg_ONonce(v_xd(c_plus(X76,v_sko__upX(v_xc),tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg),
    inference(resolution,status(thm),[c42,c1]) ).

cnf(c61,plain,
    ~ c_lessequals(v_x,v_xd(c_plus(X77,v_sko__upX(v_xc),tc_nat)),tc_nat),
    inference(resolution,status(thm),[c43,cls_conjecture_0]) ).

cnf(c62,plain,
    $false,
    inference(resolution,status(thm),[c61,c20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV283-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 06:26:09 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.37/0.62  # Version:  1.3
% 0.37/0.62  # SZS status Unsatisfiable
% 0.37/0.62  # SZS output start CNFRefutation
% See solution above
% 0.37/0.62  
% 0.37/0.62  # Initial clauses    : 6
% 0.37/0.62  # Processed clauses  : 29
% 0.37/0.62  # Factors computed   : 3
% 0.37/0.62  # Resolvents computed: 66
% 0.37/0.62  # Tautologies deleted: 0
% 0.37/0.62  # Forward subsumed   : 1
% 0.37/0.62  # Backward subsumed  : 2
% 0.37/0.62  # -------- CPU Time ---------
% 0.37/0.62  # User time          : 0.237 s
% 0.37/0.62  # System time        : 0.021 s
% 0.37/0.62  # Total time         : 0.258 s
%------------------------------------------------------------------------------