TSTP Solution File: SWV277-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV277-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n032.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 : Sun May  5 10:48:50 EDT 2024

% Result   : Unsatisfiable 0.09s 0.30s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   5   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-1 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,plain,
    $false,
    inference(subsumption_resolution,[],[f8,f4]) ).

fof(f4,axiom,
    ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f8,plain,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
    inference(resolution,[],[f7,f6]) ).

fof(f6,plain,
    ! [X0] : c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(X0)),c_Message_OkeysFor(c_Message_Oparts(X0)),tc_set(tc_nat)),
    inference(resolution,[],[f2,f1]) ).

fof(f1,axiom,
    ! [X0] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__parts_0) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ c_lessequals(X1,X0,tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_OkeysFor(X1),c_Message_OkeysFor(X0),tc_set(tc_nat)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OkeysFor__mono_0) ).

fof(f7,plain,
    ! [X0] :
      ( ~ c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)),X0,tc_set(tc_nat))
      | c_in(v_K,X0,tc_nat) ),
    inference(resolution,[],[f3,f5]) ).

fof(f5,axiom,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f3,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ c_in(X2,X3,X4)
      | c_in(X2,X5,X4)
      | ~ c_lessequals(X3,X5,tc_set(X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : SWV277-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Fri May  3 21:00:07 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.09/0.29  % (6842)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.30  % (6843)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.09/0.30  % (6847)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.09/0.30  % (6847)First to succeed.
% 0.09/0.30  % (6847)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6842"
% 0.09/0.30  TRYING [1]
% 0.09/0.30  TRYING [2]
% 0.09/0.30  % (6847)Refutation found. Thanks to Tanya!
% 0.09/0.30  % SZS status Unsatisfiable for theBenchmark
% 0.09/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.30  % (6847)------------------------------
% 0.09/0.30  % (6847)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.09/0.30  % (6847)Termination reason: Refutation
% 0.09/0.30  
% 0.09/0.30  % (6847)Memory used [KB]: 743
% 0.09/0.30  % (6847)Time elapsed: 0.002 s
% 0.09/0.30  % (6847)Instructions burned: 2 (million)
% 0.09/0.30  % (6842)Success in time 0.01 s
%------------------------------------------------------------------------------