TSTP Solution File: SWV241-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV241-2 : 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_sat --cores 0 -t %d %s

% Computer : n009.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 18:55:55 EDT 2022

% Result   : Unsatisfiable 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   25 (   8 unt;   0 def)
%            Number of atoms       :   48 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  15   ~;  22   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f114,plain,
    $false,
    inference(avatar_sat_refutation,[],[f93,f113]) ).

fof(f113,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f112]) ).

fof(f112,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f108,f8]) ).

fof(f8,axiom,
    ~ c_in(v_Y,c_Message_Oanalz(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f108,plain,
    ( c_in(v_Y,c_Message_Oanalz(v_H),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(resolution,[],[f99,f6]) ).

fof(f6,axiom,
    c_in(v_Y,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f99,plain,
    ( ! [X0] :
        ( ~ c_in(X0,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X0,c_Message_Oanalz(v_H),tc_Message_Omsg) )
    | ~ spl0_2 ),
    inference(resolution,[],[f90,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X2,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
      | c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__trans_0) ).

fof(f90,plain,
    ( c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl0_2
  <=> c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f93,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f92,f88]) ).

fof(f92,plain,
    c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg)),
    inference(subsumption_resolution,[],[f81,f7]) ).

fof(f7,axiom,
    c_in(v_X,c_Message_Oanalz(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f81,plain,
    ( c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg))
    | ~ c_in(v_X,c_Message_Oanalz(v_H),tc_Message_Omsg) ),
    inference(superposition,[],[f5,f72]) ).

fof(f72,plain,
    v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(v_H),tc_Message_Omsg),
    inference(subsumption_resolution,[],[f68,f8]) ).

fof(f68,plain,
    ( c_in(v_Y,c_Message_Oanalz(v_H),tc_Message_Omsg)
    | v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(v_H),tc_Message_Omsg) ),
    inference(resolution,[],[f33,f6]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(X2,c_Message_Oanalz(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg)
      | c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Oanalz(X1),tc_Message_Omsg) = X0 ),
    inference(resolution,[],[f21,f2]) ).

fof(f21,plain,
    ! [X3,X4] :
      ( c_lessequals(c_insert(X3,X4,tc_Message_Omsg),c_Message_Oanalz(X4),tc_set(tc_Message_Omsg))
      | c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Oanalz(X4),tc_Message_Omsg) = X3 ),
    inference(duplicate_literal_removal,[],[f19]) ).

fof(f19,plain,
    ! [X3,X4] :
      ( c_lessequals(c_insert(X3,X4,tc_Message_Omsg),c_Message_Oanalz(X4),tc_set(tc_Message_Omsg))
      | c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Oanalz(X4),tc_Message_Omsg) = X3
      | c_lessequals(c_insert(X3,X4,tc_Message_Omsg),c_Message_Oanalz(X4),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f13,f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oanalz(X1),tc_Message_Omsg),X1,tc_Message_Omsg)
      | c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f5,f1]) ).

fof(f1,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(f13,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2)
      | c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2) = X0
      | c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) ),
    inference(resolution,[],[f3,f4]) ).

fof(f4,axiom,
    ! [X6,X7,X5] :
      ( c_in(c_Main_OsubsetI__1(X5,X7,X6),X5,X6)
      | c_lessequals(X5,X7,tc_set(X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

fof(f3,axiom,
    ! [X3,X6,X4,X5] :
      ( ~ c_in(X3,c_insert(X4,X5,X6),X6)
      | c_in(X3,X5,X6)
      | X3 = X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).

fof(f5,axiom,
    ! [X6,X7,X5] :
      ( ~ c_in(c_Main_OsubsetI__1(X5,X7,X6),X7,X6)
      | c_lessequals(X5,X7,tc_set(X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV241-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n009.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 19:05:50 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.49  % (22083)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.49  % (22088)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50  % (22081)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.50  % (22088)First to succeed.
% 0.18/0.50  TRYING [1]
% 0.18/0.51  % (22096)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.51  TRYING [2]
% 0.18/0.51  TRYING [3]
% 0.18/0.52  % (22085)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  TRYING [4]
% 0.18/0.52  % (22086)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.52  % (22088)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (22088)------------------------------
% 0.18/0.52  % (22088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (22088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (22088)Termination reason: Refutation
% 0.18/0.52  
% 0.18/0.52  % (22088)Memory used [KB]: 5500
% 0.18/0.52  % (22088)Time elapsed: 0.104 s
% 0.18/0.52  % (22088)Instructions burned: 6 (million)
% 0.18/0.52  % (22088)------------------------------
% 0.18/0.52  % (22088)------------------------------
% 0.18/0.52  % (22080)Success in time 0.179 s
%------------------------------------------------------------------------------