%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV284-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n011.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 : Wed Aug 31 18:44:52 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 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   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f33,plain,
    $false,
    inference(resolution,[],[f30,f13]) ).

fof(f13,plain,
    ! [X3,X4,X5] : c_lessequals(X3,v_x(c_plus(c_plus(X4,X3,tc_nat),X5,tc_nat)),tc_nat),
    inference(resolution,[],[f8,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X4] :
      ( ~ c_lessequals(c_plus(X2,X3,tc_nat),X4,tc_nat)
      | c_lessequals(X3,X4,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).

fof(f8,plain,
    ! [X0,X1] : c_lessequals(X0,v_x(c_plus(X0,X1,tc_nat)),tc_nat),
    inference(resolution,[],[f6,f1]) ).

fof(f1,axiom,
    ! [X0] : c_lessequals(X0,v_x(X0),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f6,axiom,
    ! [X2,X3,X4] :
      ( ~ c_lessequals(c_plus(X2,X3,tc_nat),X4,tc_nat)
      | c_lessequals(X2,X4,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).

fof(f30,plain,
    ! [X0] : ~ c_lessequals(v_N,v_x(c_plus(X0,v_sko__upX(v_msg),tc_nat)),tc_nat),
    inference(resolution,[],[f21,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg)
      | ~ c_lessequals(v_N,X0,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f21,plain,
    ! [X0] : c_in(c_Message_Omsg_ONonce(v_x(c_plus(X0,v_sko__upX(v_msg),tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg),
    inference(resolution,[],[f11,f7]) ).

fof(f7,plain,
    ! [X0,X1] : c_lessequals(X0,v_x(c_plus(X1,X0,tc_nat)),tc_nat),
    inference(resolution,[],[f5,f1]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ c_lessequals(v_sko__upX(v_msg),v_x(X0),tc_nat)
      | c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg) ),
    inference(resolution,[],[f3,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_lessequals(v_sko__upX(X1),X0,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).

fof(f3,axiom,
    ! [X0] :
      ( c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV284-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 19:10:10 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (3421)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.48  % (3421)First to succeed.
% 0.18/0.48  % (3437)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.18/0.48  % (3421)Refutation found. Thanks to Tanya!
% 0.18/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48  % (3421)------------------------------
% 0.18/0.48  % (3421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (3421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (3421)Termination reason: Refutation
% 0.18/0.48  
% 0.18/0.48  % (3421)Memory used [KB]: 5756
% 0.18/0.48  % (3421)Time elapsed: 0.090 s
% 0.18/0.48  % (3421)Instructions burned: 1 (million)
% 0.18/0.48  % (3421)------------------------------
% 0.18/0.48  % (3421)------------------------------
% 0.18/0.48  % (3408)Success in time 0.146 s
%------------------------------------------------------------------------------