%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV280-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n021.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 20:30:51 EDT 2022

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    9 (   7 unt;   0 nHn;   5 RR)
%            Number of literals    :   11 (   0 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   10 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_evs),tc_Message_Omsg) ).

cnf(cls_Nat_Ole__add1_0,axiom,
    c_lessequals(V_n,c_plus(V_n,V_m,tc_nat),tc_nat) ).

cnf(cls_Public_ONonce__supply__lemma_0,axiom,
    ( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(V_evs),tc_Message_Omsg)
    | ~ c_lessequals(v_sko__urX(V_evs),V_U,tc_nat) ) ).

cnf(refute_0_0,plain,
    c_lessequals(v_sko__urX(v_evs),c_plus(v_sko__urX(v_evs),V_m,tc_nat),tc_nat),
    inference(subst,[],[cls_Nat_Ole__add1_0:[bind(V_n,$fot(v_sko__urX(v_evs)))]]) ).

cnf(refute_0_1,plain,
    c_in(c_Message_Omsg_ONonce(X_3),c_Event_Oused(v_evs),tc_Message_Omsg),
    inference(subst,[],[cls_conjecture_0:[bind(V_U,$fot(X_3))]]) ).

cnf(refute_0_2,plain,
    ( ~ c_in(c_Message_Omsg_ONonce(X_3),c_Event_Oused(v_evs),tc_Message_Omsg)
    | ~ c_lessequals(v_sko__urX(v_evs),X_3,tc_nat) ),
    inference(subst,[],[cls_Public_ONonce__supply__lemma_0:[bind(V_U,$fot(X_3)),bind(V_evs,$fot(v_evs))]]) ).

cnf(refute_0_3,plain,
    ~ c_lessequals(v_sko__urX(v_evs),X_3,tc_nat),
    inference(resolve,[$cnf( c_in(c_Message_Omsg_ONonce(X_3),c_Event_Oused(v_evs),tc_Message_Omsg) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ~ c_lessequals(v_sko__urX(v_evs),c_plus(v_sko__urX(v_evs),V_m,tc_nat),tc_nat),
    inference(subst,[],[refute_0_3:[bind(X_3,$fot(c_plus(v_sko__urX(v_evs),V_m,tc_nat)))]]) ).

cnf(refute_0_5,plain,
    $false,
    inference(resolve,[$cnf( c_lessequals(v_sko__urX(v_evs),c_plus(v_sko__urX(v_evs),V_m,tc_nat),tc_nat) )],[refute_0_0,refute_0_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV280-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n021.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 18:08:14 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  
% 0.13/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35  
%------------------------------------------------------------------------------