TSTP Solution File: SWV270-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV270-2 : 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 : n003.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 18:56:05 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   46 (  10 unt;   0 def)
%            Number of atoms       :   91 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   77 (  32   ~;  41   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-3 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f100,plain,
    $false,
    inference(avatar_sat_refutation,[],[f37,f86,f89,f90,f99]) ).

fof(f99,plain,
    ( spl4_3
    | ~ spl4_5 ),
    inference(avatar_contradiction_clause,[],[f98]) ).

fof(f98,plain,
    ( $false
    | spl4_3
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f97,f14]) ).

fof(f14,plain,
    ~ c_in(v_X,sF3,tc_Message_Omsg),
    inference(definition_folding,[],[f2,f12,f11,f10]) ).

fof(f10,plain,
    c_Message_Oparts(v_H) = sF1,
    introduced(function_definition,[]) ).

fof(f11,plain,
    c_Message_Osynth(v_H) = sF2,
    introduced(function_definition,[]) ).

fof(f12,plain,
    sF3 = c_union(sF1,sF2,tc_Message_Omsg),
    introduced(function_definition,[]) ).

fof(f2,axiom,
    ~ c_in(v_X,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(f97,plain,
    ( c_in(v_X,sF3,tc_Message_Omsg)
    | spl4_3
    | ~ spl4_5 ),
    inference(resolution,[],[f96,f17]) ).

fof(f17,plain,
    ! [X0] :
      ( ~ c_in(X0,sF2,tc_Message_Omsg)
      | c_in(X0,sF3,tc_Message_Omsg) ),
    inference(superposition,[],[f8,f12]) ).

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(f96,plain,
    ( c_in(v_X,sF2,tc_Message_Omsg)
    | spl4_3
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f95,f64]) ).

fof(f64,plain,
    ( c_in(sF0,sF2,tc_Message_Omsg)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f63,plain,
    ( spl4_5
  <=> c_in(sF0,sF2,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f95,plain,
    ( c_in(v_X,sF2,tc_Message_Omsg)
    | ~ c_in(sF0,sF2,tc_Message_Omsg)
    | spl4_3 ),
    inference(subsumption_resolution,[],[f94,f36]) ).

fof(f36,plain,
    ( ~ c_in(sF0,v_H,tc_Message_Omsg)
    | spl4_3 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f34,plain,
    ( spl4_3
  <=> c_in(sF0,v_H,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f94,plain,
    ( c_in(sF0,v_H,tc_Message_Omsg)
    | ~ c_in(sF0,sF2,tc_Message_Omsg)
    | c_in(v_X,sF2,tc_Message_Omsg) ),
    inference(superposition,[],[f92,f11]) ).

fof(f92,plain,
    ! [X0] :
      ( ~ c_in(sF0,c_Message_Osynth(X0),tc_Message_Omsg)
      | c_in(sF0,X0,tc_Message_Omsg)
      | c_in(v_X,c_Message_Osynth(X0),tc_Message_Omsg) ),
    inference(superposition,[],[f4,f9]) ).

fof(f9,plain,
    c_Message_Omsg_OMPair(v_X,v_Y) = sF0,
    introduced(function_definition,[]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth_1) ).

fof(f90,plain,
    ( ~ spl4_2
    | spl4_1 ),
    inference(avatar_split_clause,[],[f38,f24,f28]) ).

fof(f28,plain,
    ( spl4_2
  <=> c_in(sF0,sF1,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f24,plain,
    ( spl4_1
  <=> c_in(v_X,sF1,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f38,plain,
    ( c_in(v_X,sF1,tc_Message_Omsg)
    | ~ c_in(sF0,sF1,tc_Message_Omsg) ),
    inference(superposition,[],[f20,f9]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),sF1,tc_Message_Omsg)
      | c_in(X0,sF1,tc_Message_Omsg) ),
    inference(superposition,[],[f3,f10]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).

fof(f89,plain,
    ~ spl4_1,
    inference(avatar_contradiction_clause,[],[f88]) ).

fof(f88,plain,
    ( $false
    | ~ spl4_1 ),
    inference(subsumption_resolution,[],[f87,f14]) ).

fof(f87,plain,
    ( c_in(v_X,sF3,tc_Message_Omsg)
    | ~ spl4_1 ),
    inference(resolution,[],[f26,f16]) ).

fof(f16,plain,
    ! [X0] :
      ( ~ c_in(X0,sF1,tc_Message_Omsg)
      | c_in(X0,sF3,tc_Message_Omsg) ),
    inference(superposition,[],[f7,f12]) ).

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(f26,plain,
    ( c_in(v_X,sF1,tc_Message_Omsg)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f86,plain,
    ( spl4_2
    | spl4_5 ),
    inference(avatar_split_clause,[],[f85,f63,f28]) ).

fof(f85,plain,
    ( c_in(sF0,sF1,tc_Message_Omsg)
    | spl4_5 ),
    inference(subsumption_resolution,[],[f80,f65]) ).

fof(f65,plain,
    ( ~ c_in(sF0,sF2,tc_Message_Omsg)
    | spl4_5 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f80,plain,
    ( c_in(sF0,sF1,tc_Message_Omsg)
    | c_in(sF0,sF2,tc_Message_Omsg) ),
    inference(resolution,[],[f79,f13]) ).

fof(f13,plain,
    c_in(sF0,sF3,tc_Message_Omsg),
    inference(definition_folding,[],[f1,f12,f11,f10,f9]) ).

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(f79,plain,
    ! [X0] :
      ( ~ c_in(X0,sF3,tc_Message_Omsg)
      | c_in(X0,sF2,tc_Message_Omsg)
      | c_in(X0,sF1,tc_Message_Omsg) ),
    inference(superposition,[],[f6,f12]) ).

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

fof(f37,plain,
    ( spl4_1
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f32,f34,f24]) ).

fof(f32,plain,
    ( ~ c_in(sF0,v_H,tc_Message_Omsg)
    | c_in(v_X,sF1,tc_Message_Omsg) ),
    inference(superposition,[],[f21,f10]) ).

fof(f21,plain,
    ! [X0] :
      ( c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg)
      | ~ c_in(sF0,X0,tc_Message_Omsg) ),
    inference(resolution,[],[f19,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(f19,plain,
    ! [X0] :
      ( ~ c_in(sF0,c_Message_Oparts(X0),tc_Message_Omsg)
      | c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(superposition,[],[f3,f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWV270-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % 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 : n003.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 19:12:22 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (23725)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.48  % (23701)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.48  % (23701)Refutation not found, incomplete strategy% (23701)------------------------------
% 0.18/0.48  % (23701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (23701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (23701)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.48  
% 0.18/0.48  % (23701)Memory used [KB]: 5373
% 0.18/0.48  % (23701)Time elapsed: 0.084 s
% 0.18/0.48  % (23701)Instructions burned: 1 (million)
% 0.18/0.48  % (23701)------------------------------
% 0.18/0.48  % (23701)------------------------------
% 0.18/0.49  % (23709)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (23704)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (23712)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.49  % (23725)First to succeed.
% 0.18/0.49  % (23723)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)
% 0.18/0.49  % (23715)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)
% 0.18/0.49  % (23712)Also succeeded, but the first one will report.
% 0.18/0.49  % (23711)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.50  % (23725)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (23725)------------------------------
% 0.18/0.50  % (23725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (23725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (23725)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (23725)Memory used [KB]: 5500
% 0.18/0.50  % (23725)Time elapsed: 0.102 s
% 0.18/0.50  % (23725)Instructions burned: 5 (million)
% 0.18/0.50  % (23725)------------------------------
% 0.18/0.50  % (23725)------------------------------
% 0.18/0.50  % (23699)Success in time 0.159 s
%------------------------------------------------------------------------------