TSTP Solution File: CSR037+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : CSR037+2 : 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 : n005.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 15:54:28 EDT 2022

% Result   : Theorem 1.30s 0.54s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   30 (   4 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   62 (  27   ~;  23   |;   3   &)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1176,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1164,f1165,f1170,f1175]) ).

fof(f1175,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f1174]) ).

fof(f1174,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f1173,f1153]) ).

fof(f1153,plain,
    ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
    inference(cnf_transformation,[],[f1139]) ).

fof(f1139,plain,
    ( ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
    & mtvisible(c_tptpgeo_member7_mt) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f1133,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member7_mt)
     => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    inference(negated_conjecture,[],[f1132]) ).

fof(f1132,conjecture,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query87) ).

fof(f1173,plain,
    ( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f1171,f1169]) ).

fof(f1169,plain,
    ( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f1167]) ).

fof(f1167,plain,
    ( spl0_3
  <=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1171,plain,
    ( ! [X0] :
        ( ~ geographicalsubregions(c_georegion_l3_x15_y24,X0)
        | geographicalsubregions(c_georegion_l2_x5_y8,X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f1155,f1163]) ).

fof(f1163,plain,
    ( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f1161]) ).

fof(f1161,plain,
    ( spl0_2
  <=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1155,plain,
    ! [X2,X0,X1] :
      ( ~ geographicalsubregions(X2,X0)
      | ~ geographicalsubregions(X0,X1)
      | geographicalsubregions(X2,X1) ),
    inference(cnf_transformation,[],[f1148]) ).

fof(f1148,plain,
    ! [X0,X1,X2] :
      ( ~ geographicalsubregions(X2,X0)
      | geographicalsubregions(X2,X1)
      | ~ geographicalsubregions(X0,X1) ),
    inference(rectify,[],[f1145]) ).

fof(f1145,plain,
    ! [X0,X2,X1] :
      ( ~ geographicalsubregions(X1,X0)
      | geographicalsubregions(X1,X2)
      | ~ geographicalsubregions(X0,X2) ),
    inference(flattening,[],[f1144]) ).

fof(f1144,plain,
    ! [X1,X2,X0] :
      ( geographicalsubregions(X1,X2)
      | ~ geographicalsubregions(X1,X0)
      | ~ geographicalsubregions(X0,X2) ),
    inference(ennf_transformation,[],[f1134]) ).

fof(f1134,plain,
    ! [X1,X2,X0] :
      ( ( geographicalsubregions(X1,X0)
        & geographicalsubregions(X0,X2) )
     => geographicalsubregions(X1,X2) ),
    inference(rectify,[],[f1041]) ).

fof(f1041,axiom,
    ! [X13,X12,X18] :
      ( ( geographicalsubregions(X13,X18)
        & geographicalsubregions(X12,X13) )
     => geographicalsubregions(X12,X18) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1041) ).

fof(f1170,plain,
    ( spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f1151,f1157,f1167]) ).

fof(f1157,plain,
    ( spl0_1
  <=> mtvisible(c_tptpgeo_member7_mt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1151,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    inference(cnf_transformation,[],[f1138]) ).

fof(f1138,plain,
    ( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(ennf_transformation,[],[f188]) ).

fof(f188,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_188) ).

fof(f1165,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f1152,f1157]) ).

fof(f1152,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(cnf_transformation,[],[f1139]) ).

fof(f1164,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1150,f1161,f1157]) ).

fof(f1150,plain,
    ( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(cnf_transformation,[],[f1137]) ).

fof(f1137,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    inference(ennf_transformation,[],[f276]) ).

fof(f276,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_276) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CSR037+2 : 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
% 0.13/0.33  % Computer : n005.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 17:55:03 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.52  % (24446)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.18/0.52  % (24434)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.18/0.52  % (24430)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.18/0.52  % (24440)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.18/0.53  % (24431)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.18/0.53  % (24430)First to succeed.
% 1.30/0.54  % (24436)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)
% 1.30/0.54  % (24430)Refutation found. Thanks to Tanya!
% 1.30/0.54  % SZS status Theorem for theBenchmark
% 1.30/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.54  % (24430)------------------------------
% 1.30/0.54  % (24430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.54  % (24430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.54  % (24430)Termination reason: Refutation
% 1.30/0.54  
% 1.30/0.54  % (24430)Memory used [KB]: 7036
% 1.30/0.54  % (24430)Time elapsed: 0.084 s
% 1.30/0.54  % (24430)Instructions burned: 8 (million)
% 1.30/0.54  % (24430)------------------------------
% 1.30/0.54  % (24430)------------------------------
% 1.30/0.54  % (24423)Success in time 0.193 s
%------------------------------------------------------------------------------