TSTP Solution File: SWV245-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV245-2 : 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 : n028.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 18:55:57 EDT 2022

% Result   : Unsatisfiable 0.21s 0.59s
% 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(f43,plain,
    $false,
    inference(avatar_sat_refutation,[],[f26,f29,f42]) ).

fof(f42,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f41]) ).

fof(f41,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f39,f31]) ).

fof(f31,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f30,f10]) ).

fof(f10,plain,
    ~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
    inference(resolution,[],[f2,f6]) ).

fof(f6,axiom,
    ! [X3,X6,X4,X5] :
      ( c_in(X3,c_union(X6,X4,X5),X5)
      | ~ c_in(X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).

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_2) ).

fof(f30,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
    | c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(resolution,[],[f21,f4]) ).

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(X0,c_Message_Osynth(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth_1) ).

fof(f21,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,[],[f19]) ).

fof(f19,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(f39,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
    | spl0_2 ),
    inference(resolution,[],[f32,f7]) ).

fof(f7,axiom,
    ! [X3,X6,X4,X5] :
      ( c_in(X3,c_union(X6,X4,X5),X5)
      | ~ c_in(X3,X6,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).

fof(f32,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,[],[f24,f5]) ).

fof(f5,axiom,
    ! [X2,X0] :
      ( c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
      | ~ c_in(X0,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).

fof(f24,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,[],[f23]) ).

fof(f23,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(f29,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f28]) ).

fof(f28,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f27,f9]) ).

fof(f9,plain,
    ~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(resolution,[],[f2,f7]) ).

fof(f27,plain,
    ( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(resolution,[],[f25,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
      | c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).

fof(f25,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,[],[f23]) ).

fof(f26,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f17,f23,f19]) ).

fof(f17,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,[],[f8,f1]) ).

fof(f1,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f8,axiom,
    ! [X3,X6,X4,X5] :
      ( ~ c_in(X3,c_union(X6,X4,X5),X5)
      | c_in(X3,X6,X5)
      | c_in(X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV245-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 19:17:49 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.57  % (12652)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.58  % (12650)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.58  % (12667)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.58  % (12668)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.58  % (12651)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.58  % (12651)First to succeed.
% 0.21/0.59  % (12651)Refutation found. Thanks to Tanya!
% 0.21/0.59  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.59  % (12651)------------------------------
% 0.21/0.59  % (12651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (12651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (12651)Termination reason: Refutation
% 0.21/0.59  
% 0.21/0.59  % (12651)Memory used [KB]: 5373
% 0.21/0.59  % (12651)Time elapsed: 0.139 s
% 0.21/0.59  % (12651)Instructions burned: 2 (million)
% 0.21/0.59  % (12651)------------------------------
% 0.21/0.59  % (12651)------------------------------
% 0.21/0.59  % (12626)Success in time 0.234 s
%------------------------------------------------------------------------------