TSTP Solution File: CSR065+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : CSR065+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : n002.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 15:55:08 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   52 (  12 unt;   0 def)
%            Number of atoms       :  105 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   93 (  40   ~;  36   |;   4   &)
%                                         (   7 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   8 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-1 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f251,plain,
    $false,
    inference(avatar_sat_refutation,[],[f209,f216,f225,f229,f233,f240,f244,f250]) ).

fof(f250,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f247]) ).

fof(f247,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f212,f234]) ).

fof(f234,plain,
    ( ~ ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ spl0_2 ),
    inference(resolution,[],[f208,f175]) ).

fof(f175,plain,
    ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ( mtvisible(c_tptp_spindlecollectormt)
    & ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    inference(negated_conjecture,[],[f57]) ).

fof(f57,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query65) ).

fof(f208,plain,
    ( ! [X0] :
        ( tptpofobject(X0,f_tptpquantityfn_13(n_468))
        | ~ ridgeline_topographical(X0) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f207,plain,
    ( spl0_2
  <=> ! [X0] :
        ( ~ ridgeline_topographical(X0)
        | tptpofobject(X0,f_tptpquantityfn_13(n_468)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f212,plain,
    ( ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f211,plain,
    ( spl0_3
  <=> ridgeline_topographical(c_tptpridgeline_topographical) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f244,plain,
    ( ~ spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f241,f237,f227]) ).

fof(f227,plain,
    ( spl0_6
  <=> mtvisible(c_tptp_member3993_mt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f237,plain,
    ( spl0_7
  <=> mtvisible(c_tptp_spindleheadmt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f241,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3993_mt) ),
    inference(resolution,[],[f191,f187]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | mtvisible(X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | mtvisible(X1)
      | ~ genlmt(X0,X1) ),
    inference(rectify,[],[f131]) ).

fof(f131,plain,
    ! [X1,X0] :
      ( ~ mtvisible(X1)
      | mtvisible(X0)
      | ~ genlmt(X1,X0) ),
    inference(flattening,[],[f130]) ).

fof(f130,plain,
    ! [X1,X0] :
      ( mtvisible(X0)
      | ~ genlmt(X1,X0)
      | ~ mtvisible(X1) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X1,X0] :
      ( ( genlmt(X1,X0)
        & mtvisible(X1) )
     => mtvisible(X0) ),
    inference(rectify,[],[f48]) ).

fof(f48,axiom,
    ! [X16,X15] :
      ( ( genlmt(X15,X16)
        & mtvisible(X15) )
     => mtvisible(X16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).

fof(f191,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).

fof(f240,plain,
    ( ~ spl0_7
    | spl0_4 ),
    inference(avatar_split_clause,[],[f235,f214,f237]) ).

fof(f214,plain,
    ( spl0_4
  <=> mtvisible(c_cyclistsmt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f235,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(resolution,[],[f174,f187]) ).

fof(f174,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).

fof(f233,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f231]) ).

fof(f231,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f223,f176]) ).

fof(f176,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[],[f122]) ).

fof(f223,plain,
    ( ~ mtvisible(c_tptp_spindlecollectormt)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f222,plain,
    ( spl0_5
  <=> mtvisible(c_tptp_spindlecollectormt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f229,plain,
    ( spl0_6
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f218,f222,f227]) ).

fof(f218,plain,
    ( ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member3993_mt) ),
    inference(resolution,[],[f187,f178]) ).

fof(f178,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).

fof(f225,plain,
    ( ~ spl0_5
    | spl0_1 ),
    inference(avatar_split_clause,[],[f219,f204,f222]) ).

fof(f204,plain,
    ( spl0_1
  <=> mtvisible(c_tptp_member235_mt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f219,plain,
    ( mtvisible(c_tptp_member235_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt) ),
    inference(resolution,[],[f187,f186]) ).

fof(f186,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).

fof(f216,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f177,f214,f211]) ).

fof(f177,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | ridgeline_topographical(c_tptpridgeline_topographical) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ( mtvisible(c_cyclistsmt)
   => ridgeline_topographical(c_tptpridgeline_topographical) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

fof(f209,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f183,f207,f204]) ).

fof(f183,plain,
    ! [X0] :
      ( ~ ridgeline_topographical(X0)
      | ~ mtvisible(c_tptp_member235_mt)
      | tptpofobject(X0,f_tptpquantityfn_13(n_468)) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_13(n_468))
      | ~ mtvisible(c_tptp_member235_mt)
      | ~ ridgeline_topographical(X0) ),
    inference(flattening,[],[f141]) ).

fof(f141,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_13(n_468))
      | ~ mtvisible(c_tptp_member235_mt)
      | ~ ridgeline_topographical(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ( mtvisible(c_tptp_member235_mt)
        & ridgeline_topographical(X0) )
     => tptpofobject(X0,f_tptpquantityfn_13(n_468)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CSR065+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n002.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   : Mon Aug 29 18:55:43 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (29085)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.51  % (29075)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.51  % (29067)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.51  % (29069)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (29067)Refutation not found, incomplete strategy% (29067)------------------------------
% 0.19/0.51  % (29067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (29060)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51  % (29083)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.51  % (29060)Refutation not found, incomplete strategy% (29060)------------------------------
% 0.19/0.51  % (29060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (29060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (29060)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (29060)Memory used [KB]: 1535
% 0.19/0.51  % (29060)Time elapsed: 0.101 s
% 0.19/0.51  % (29060)Instructions burned: 2 (million)
% 0.19/0.51  % (29060)------------------------------
% 0.19/0.51  % (29060)------------------------------
% 0.19/0.51  % (29075)Refutation not found, incomplete strategy% (29075)------------------------------
% 0.19/0.51  % (29075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (29083)First to succeed.
% 0.19/0.51  % (29075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (29075)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (29067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (29075)Memory used [KB]: 5884
% 0.19/0.51  % (29067)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  % (29075)Time elapsed: 0.106 s
% 0.19/0.51  
% 0.19/0.51  % (29075)Instructions burned: 1 (million)
% 0.19/0.51  % (29067)Memory used [KB]: 1535
% 0.19/0.51  % (29075)------------------------------
% 0.19/0.51  % (29075)------------------------------
% 0.19/0.51  % (29067)Time elapsed: 0.108 s
% 0.19/0.52  % (29067)Instructions burned: 2 (million)
% 0.19/0.52  % (29067)------------------------------
% 0.19/0.52  % (29067)------------------------------
% 0.19/0.52  % (29079)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.52  % (29079)Refutation not found, incomplete strategy% (29079)------------------------------
% 0.19/0.52  % (29079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (29079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (29079)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (29079)Memory used [KB]: 1535
% 0.19/0.52  % (29079)Time elapsed: 0.077 s
% 0.19/0.52  % (29079)Instructions burned: 2 (million)
% 0.19/0.52  % (29079)------------------------------
% 0.19/0.52  % (29079)------------------------------
% 0.19/0.52  % (29083)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (29083)------------------------------
% 0.19/0.52  % (29083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (29083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (29083)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (29083)Memory used [KB]: 6012
% 0.19/0.52  % (29083)Time elapsed: 0.116 s
% 0.19/0.52  % (29083)Instructions burned: 3 (million)
% 0.19/0.52  % (29083)------------------------------
% 0.19/0.52  % (29083)------------------------------
% 0.19/0.52  % (29051)Success in time 0.165 s
%------------------------------------------------------------------------------