TSTP Solution File: SWV271-2 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV271-2 : 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 : n029.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 Apr 30 16:43:36 EDT 2024

% Result   : Unsatisfiable 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (   7 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   42 (  20   ~;  20   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f39,plain,
    $false,
    inference(avatar_sat_refutation,[],[f28,f34,f38]) ).

fof(f38,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f37]) ).

fof(f37,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f35,f9]) ).

fof(f9,plain,
    ~ c_in(v_Y,c_Message_Oparts(v_H),tc_Message_Omsg),
    inference(resolution,[],[f7,f2]) ).

fof(f2,axiom,
    ~ c_in(v_Y,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f7,axiom,
    ! [X3,X6,X4,X5] :
      ( c_in(X3,c_union(X4,X5,X6),X6)
      | ~ c_in(X3,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).

fof(f35,plain,
    ( c_in(v_Y,c_Message_Oparts(v_H),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(resolution,[],[f23,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
      | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).

fof(f23,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl0_1
  <=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f34,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f33]) ).

fof(f33,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f32,f9]) ).

fof(f32,plain,
    ( c_in(v_Y,c_Message_Oparts(v_H),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(resolution,[],[f31,f12]) ).

fof(f12,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(resolution,[],[f3,f5]) ).

fof(f5,axiom,
    ! [X2,X0] :
      ( c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
      | ~ c_in(X0,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

fof(f31,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f30,f11]) ).

fof(f11,plain,
    ~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
    inference(resolution,[],[f8,f2]) ).

fof(f8,axiom,
    ! [X3,X6,X4,X5] :
      ( c_in(X3,c_union(X4,X5,X6),X6)
      | ~ c_in(X3,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).

fof(f30,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)
    | c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(resolution,[],[f4,f27]) ).

fof(f27,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl0_2
  <=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)
      | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth_0) ).

fof(f28,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f17,f25,f21]) ).

fof(f17,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg) ),
    inference(resolution,[],[f6,f1]) ).

fof(f1,axiom,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f6,axiom,
    ! [X3,X6,X4,X5] :
      ( ~ c_in(X3,c_union(X4,X5,X6),X6)
      | c_in(X3,X5,X6)
      | c_in(X3,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV271-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 05:14:35 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  % (3082)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (3084)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (3087)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (3086)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (3088)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (3089)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)
% 0.15/0.38  % (3085)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)
% 0.15/0.38  Detected minimum model sizes of [1,1,1]
% 0.15/0.38  Detected minimum model sizes of [1,1,1]
% 0.15/0.38  Detected maximum model sizes of [1,max,1]
% 0.15/0.38  Detected maximum model sizes of [1,max,1]
% 0.15/0.38  TRYING [1,1,1]
% 0.15/0.38  TRYING [1,1,1]
% 0.15/0.38  % (3088)First to succeed.
% 0.15/0.38  TRYING [1,2,1]
% 0.15/0.38  TRYING [1,2,1]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.39  % (3085)Also succeeded, but the first one will report.
% 0.15/0.39  TRYING [1,3,1]
% 0.15/0.39  TRYING [1,3,1]
% 0.15/0.39  % (3088)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  % (3088)------------------------------
% 0.15/0.39  % (3088)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39  % (3088)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (3088)Memory used [KB]: 757
% 0.15/0.39  % (3088)Time elapsed: 0.003 s
% 0.15/0.39  % (3088)Instructions burned: 3 (million)
% 0.15/0.39  % (3088)------------------------------
% 0.15/0.39  % (3088)------------------------------
% 0.15/0.39  % (3082)Success in time 0.017 s
%------------------------------------------------------------------------------