TSTP Solution File: SWV246-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV246-1 : 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 : n024.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 18:44:38 EDT 2022

% Result   : Unsatisfiable 0.21s 0.56s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   27 (   6 unt;   0 def)
%            Number of atoms       :   52 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   46 (  21   ~;  23   |;   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    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1436,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1419,f1425,f1435]) ).

fof(f1435,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f1434]) ).

fof(f1434,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f1433,f1428]) ).

fof(f1428,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f1426,f1406]) ).

fof(f1406,plain,
    ~ c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg),
    inference(resolution,[],[f1403,f1326]) ).

fof(f1326,axiom,
    ! [X1,X4,X12,X13] :
      ( c_in(X4,c_union(X12,X13,X1),X1)
      | ~ c_in(X4,X13,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).

fof(f1403,axiom,
    ~ c_in(v_Y,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1426,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
    | c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(resolution,[],[f1414,f1366]) ).

fof(f1366,axiom,
    ! [X56,X55,X53] :
      ( ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Osynth(X55),tc_Message_Omsg)
      | c_in(X56,c_Message_Osynth(X55),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X53,X56),X55,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth_0) ).

fof(f1414,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f1412]) ).

fof(f1412,plain,
    ( spl0_1
  <=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1433,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
    | spl0_2 ),
    inference(resolution,[],[f1431,f1327]) ).

fof(f1327,axiom,
    ! [X1,X4,X12,X13] :
      ( c_in(X4,c_union(X12,X13,X1),X1)
      | ~ c_in(X4,X12,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).

fof(f1431,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | spl0_2 ),
    inference(resolution,[],[f1417,f1377]) ).

fof(f1377,axiom,
    ! [X55,X53] :
      ( c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
      | ~ c_in(X53,X55,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).

fof(f1417,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f1416]) ).

fof(f1416,plain,
    ( spl0_2
  <=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1425,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f1424]) ).

fof(f1424,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1422,f1407]) ).

fof(f1407,plain,
    ~ c_in(v_Y,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(resolution,[],[f1403,f1327]) ).

fof(f1422,plain,
    ( c_in(v_Y,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(resolution,[],[f1418,f1362]) ).

fof(f1362,axiom,
    ! [X56,X55,X53] :
      ( ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oanalz(X55),tc_Message_Omsg)
      | c_in(X56,c_Message_Oanalz(X55),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

fof(f1418,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f1416]) ).

fof(f1419,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1410,f1416,f1412]) ).

fof(f1410,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    inference(resolution,[],[f1402,f1328]) ).

fof(f1328,axiom,
    ! [X1,X4,X12,X13] :
      ( ~ c_in(X4,c_union(X12,X13,X1),X1)
      | c_in(X4,X12,X1)
      | c_in(X4,X13,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

fof(f1402,axiom,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),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/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : SWV246-1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36  % Computer : n024.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 19:11:04 EDT 2022
% 0.14/0.37  % CPUTime    : 
% 0.21/0.52  % (7586)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.53  % (7578)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.54  % (7570)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55  % (7578)Instruction limit reached!
% 0.21/0.55  % (7578)------------------------------
% 0.21/0.55  % (7578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (7570)First to succeed.
% 0.21/0.55  % (7578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (7578)Termination reason: Unknown
% 0.21/0.55  % (7578)Termination phase: Finite model building preprocessing
% 0.21/0.55  
% 0.21/0.55  % (7578)Memory used [KB]: 2558
% 0.21/0.55  % (7578)Time elapsed: 0.007 s
% 0.21/0.55  % (7578)Instructions burned: 7 (million)
% 0.21/0.55  % (7578)------------------------------
% 0.21/0.55  % (7578)------------------------------
% 0.21/0.56  % (7570)Refutation found. Thanks to Tanya!
% 0.21/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56  % (7570)------------------------------
% 0.21/0.56  % (7570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (7570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (7570)Termination reason: Refutation
% 0.21/0.56  
% 0.21/0.56  % (7570)Memory used [KB]: 6908
% 0.21/0.56  % (7570)Time elapsed: 0.127 s
% 0.21/0.56  % (7570)Instructions burned: 7 (million)
% 0.21/0.56  % (7570)------------------------------
% 0.21/0.56  % (7570)------------------------------
% 0.21/0.56  % (7562)Success in time 0.179 s
%------------------------------------------------------------------------------