TSTP Solution File: SWV244-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV244-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n016.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 : Tue May 21 06:14:24 EDT 2024

% Result   : Unsatisfiable 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  13   ~;   9   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f27,plain,
    $false,
    inference(avatar_sat_refutation,[],[f20,f21,f26]) ).

fof(f26,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f25]) ).

fof(f25,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f24,f19]) ).

fof(f19,plain,
    ( c_in(v_X,v_H,tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f17,plain,
    ( spl0_2
  <=> c_in(v_X,v_H,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f24,plain,
    ~ c_in(v_X,v_H,tc_Message_Omsg),
    inference(resolution,[],[f22,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X4,X5] :
      ( c_in(X2,c_union(X5,X3,X4),X4)
      | ~ c_in(X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).

fof(f22,plain,
    ~ c_in(v_X,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(resolution,[],[f7,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).

fof(f7,plain,
    ~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(resolution,[],[f2,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X4,X5] :
      ( c_in(X2,c_union(X5,X3,X4),X4)
      | ~ c_in(X2,X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).

fof(f2,axiom,
    ~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f21,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f8,f13]) ).

fof(f13,plain,
    ( spl0_1
  <=> c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f8,plain,
    ~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
    inference(resolution,[],[f2,f4]) ).

fof(f20,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f17,f13]) ).

fof(f9,plain,
    ( c_in(v_X,v_H,tc_Message_Omsg)
    | c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
    inference(resolution,[],[f6,f1]) ).

fof(f1,axiom,
    c_in(v_X,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f6,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ c_in(X2,c_union(X5,X3,X4),X4)
      | c_in(X2,X3,X4)
      | c_in(X2,X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : SWV244-2 : TPTP v8.2.0. Released v3.2.0.
% 0.13/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37  % Computer : n016.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sun May 19 08:28:23 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  % (8922)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (8927)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39  % (8928)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39  % (8929)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39  % (8926)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39  % (8925)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.39  % (8928)First to succeed.
% 0.15/0.39  TRYING [1]
% 0.15/0.39  % (8928)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8922"
% 0.15/0.39  Detected minimum model sizes of [1,1,1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  Detected maximum model sizes of [1,max,1]
% 0.15/0.39  TRYING [1,1,1]
% 0.15/0.39  TRYING [1,2,1]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  % (8925)Also succeeded, but the first one will report.
% 0.15/0.39  % (8928)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39  % (8928)------------------------------
% 0.15/0.39  % (8928)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39  % (8928)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (8928)Memory used [KB]: 748
% 0.15/0.39  % (8928)Time elapsed: 0.003 s
% 0.15/0.39  % (8928)Instructions burned: 3 (million)
% 0.15/0.39  % (8922)Success in time 0.018 s
%------------------------------------------------------------------------------