TSTP Solution File: LAT274-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT274-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 May  1 03:07:43 EDT 2024

% Result   : Unsatisfiable 0.62s 0.83s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   74 (   8 unt;   0 def)
%            Number of atoms       :  211 (  10 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  235 (  98   ~; 129   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-4 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-4 aty)
%            Number of variables   :   75 (  75   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f189,plain,
    $false,
    inference(avatar_sat_refutation,[],[f25,f76,f107,f136,f150,f155,f163,f171,f184,f188]) ).

fof(f188,plain,
    ( spl0_2
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f187]) ).

fof(f187,plain,
    ( $false
    | spl0_2
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f185,f101]) ).

fof(f101,plain,
    ( c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f100,plain,
    ( spl0_11
  <=> c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f185,plain,
    ( ~ c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | spl0_2
    | ~ spl0_18 ),
    inference(resolution,[],[f149,f24]) ).

fof(f24,plain,
    ( ~ c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f22,plain,
    ( spl0_2
  <=> c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f149,plain,
    ( ! [X0] :
        ( c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
        | ~ c_in(c_Pair(X0,v_sko__4mj(v_S,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f148,plain,
    ( spl0_18
  <=> ! [X0] :
        ( c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
        | ~ c_in(c_Pair(X0,v_sko__4mj(v_S,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f184,plain,
    ( spl0_2
    | spl0_11
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f183]) ).

fof(f183,plain,
    ( $false
    | spl0_2
    | spl0_11
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f182,f24]) ).

fof(f182,plain,
    ( c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | spl0_11
    | ~ spl0_19 ),
    inference(resolution,[],[f154,f164]) ).

fof(f164,plain,
    ( ~ c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
    | spl0_11 ),
    inference(resolution,[],[f161,f12]) ).

fof(f12,axiom,
    c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox2/tmp/tmp.UXjpMaMdBV/Vampire---4.8_29474',cls_conjecture_2) ).

fof(f161,plain,
    ( ! [X0,X1] :
        ( ~ c_lessequals(X0,c_Tarski_Ointerval(v_r,v_a,X1,t_a),tc_set(t_a))
        | ~ c_in(v_sko__4mj(v_S,v_a,v_r),X0,t_a) )
    | spl0_11 ),
    inference(resolution,[],[f102,f5]) ).

fof(f5,axiom,
    ! [X2,X0,X6,X7,X4,X5] :
      ( c_in(c_Pair(X2,X4,X5,X5),X6,tc_prod(X5,X5))
      | ~ c_lessequals(X0,c_Tarski_Ointerval(X6,X2,X7,X5),tc_set(X5))
      | ~ c_in(X4,X0,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.UXjpMaMdBV/Vampire---4.8_29474',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0) ).

fof(f102,plain,
    ( ~ c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | spl0_11 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f154,plain,
    ( ! [X0] :
        ( c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)
        | c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f153,plain,
    ( spl0_19
  <=> ! [X0] :
        ( c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)
        | c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f171,plain,
    ( ~ spl0_12
    | spl0_2
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f167,f134,f22,f104]) ).

fof(f104,plain,
    ( spl0_12
  <=> c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f134,plain,
    ( spl0_17
  <=> ! [X0] :
        ( c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
        | ~ c_in(c_Pair(v_sko__4mk(X0,v_S,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f167,plain,
    ( ~ c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | spl0_2
    | ~ spl0_17 ),
    inference(resolution,[],[f135,f24]) ).

fof(f135,plain,
    ( ! [X0] :
        ( c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
        | ~ c_in(c_Pair(v_sko__4mk(X0,v_S,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f163,plain,
    ~ spl0_16,
    inference(avatar_contradiction_clause,[],[f162]) ).

fof(f162,plain,
    ( $false
    | ~ spl0_16 ),
    inference(resolution,[],[f132,f12]) ).

fof(f132,plain,
    ( ! [X1] : ~ c_lessequals(v_S,X1,tc_set(t_a))
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f131,plain,
    ( spl0_16
  <=> ! [X1] : ~ c_lessequals(v_S,X1,tc_set(t_a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f155,plain,
    ( spl0_16
    | spl0_19
    | spl0_12 ),
    inference(avatar_split_clause,[],[f151,f104,f153,f131]) ).

fof(f151,plain,
    ( ! [X0,X1] :
        ( c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)
        | c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
        | ~ c_lessequals(v_S,X1,tc_set(t_a)) )
    | spl0_12 ),
    inference(subsumption_resolution,[],[f145,f13]) ).

fof(f13,axiom,
    c_emptyset != v_S,
    file('/export/starexec/sandbox2/tmp/tmp.UXjpMaMdBV/Vampire---4.8_29474',cls_conjecture_3) ).

fof(f145,plain,
    ( ! [X0,X1] :
        ( c_emptyset = v_S
        | c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)
        | c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
        | ~ c_lessequals(v_S,X1,tc_set(t_a)) )
    | spl0_12 ),
    inference(resolution,[],[f143,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(v_sko__4mk(X3,X0,v_r),X0,t_a)
      | c_emptyset = X0
      | c_in(v_sko__4mj(X0,X2,v_r),X0,t_a)
      | c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_lessequals(X0,X1,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/tmp/tmp.UXjpMaMdBV/Vampire---4.8_29474',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).

fof(f143,plain,
    ( ~ c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
    | spl0_12 ),
    inference(resolution,[],[f140,f14]) ).

fof(f14,axiom,
    c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
    file('/export/starexec/sandbox2/tmp/tmp.UXjpMaMdBV/Vampire---4.8_29474',cls_conjecture_4) ).

fof(f140,plain,
    ( ! [X0] :
        ( ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a)
        | ~ c_in(v_sko__4mk(v_L,v_S,v_r),X0,t_a) )
    | spl0_12 ),
    inference(resolution,[],[f106,f8]) ).

fof(f8,axiom,
    ! [X3,X0,X8] :
      ( c_in(c_Pair(X8,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(X8,X0,t_a)
      | ~ c_Tarski_OisLub(X0,v_cl,X3,t_a) ),
    file('/export/starexec/sandbox2/tmp/tmp.UXjpMaMdBV/Vampire---4.8_29474',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).

fof(f106,plain,
    ( ~ c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | spl0_12 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f150,plain,
    ( spl0_16
    | spl0_18
    | spl0_12 ),
    inference(avatar_split_clause,[],[f146,f104,f148,f131]) ).

fof(f146,plain,
    ( ! [X0,X1] :
        ( c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
        | ~ c_lessequals(v_S,X1,tc_set(t_a))
        | ~ c_in(c_Pair(X0,v_sko__4mj(v_S,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) )
    | spl0_12 ),
    inference(subsumption_resolution,[],[f144,f13]) ).

fof(f144,plain,
    ( ! [X0,X1] :
        ( c_emptyset = v_S
        | c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
        | ~ c_lessequals(v_S,X1,tc_set(t_a))
        | ~ c_in(c_Pair(X0,v_sko__4mj(v_S,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) )
    | spl0_12 ),
    inference(resolution,[],[f143,f3]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(v_sko__4mk(X3,X0,v_r),X0,t_a)
      | c_emptyset = X0
      | c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_lessequals(X0,X1,tc_set(t_a))
      | ~ c_in(c_Pair(X2,v_sko__4mj(X0,X2,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/tmp/tmp.UXjpMaMdBV/Vampire---4.8_29474',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_2) ).

fof(f136,plain,
    ( spl0_16
    | spl0_17
    | spl0_11 ),
    inference(avatar_split_clause,[],[f129,f100,f134,f131]) ).

fof(f129,plain,
    ( ! [X0,X1] :
        ( c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
        | ~ c_lessequals(v_S,X1,tc_set(t_a))
        | ~ c_in(c_Pair(v_sko__4mk(X0,v_S,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) )
    | spl0_11 ),
    inference(subsumption_resolution,[],[f128,f13]) ).

fof(f128,plain,
    ( ! [X0,X1] :
        ( c_emptyset = v_S
        | c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
        | ~ c_lessequals(v_S,X1,tc_set(t_a))
        | ~ c_in(c_Pair(v_sko__4mk(X0,v_S,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) )
    | spl0_11 ),
    inference(resolution,[],[f126,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(v_sko__4mj(X0,X2,v_r),X0,t_a)
      | c_emptyset = X0
      | c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_lessequals(X0,X1,tc_set(t_a))
      | ~ c_in(c_Pair(v_sko__4mk(X3,X0,v_r),X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/tmp/tmp.UXjpMaMdBV/Vampire---4.8_29474',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_1) ).

fof(f126,plain,
    ( ~ c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
    | spl0_11 ),
    inference(resolution,[],[f113,f12]) ).

fof(f113,plain,
    ( ! [X0,X1] :
        ( ~ c_lessequals(X0,c_Tarski_Ointerval(v_r,v_a,X1,t_a),tc_set(t_a))
        | ~ c_in(v_sko__4mj(v_S,v_a,v_r),X0,t_a) )
    | spl0_11 ),
    inference(resolution,[],[f102,f5]) ).

fof(f107,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | spl0_2 ),
    inference(avatar_split_clause,[],[f98,f22,f104,f100]) ).

fof(f98,plain,
    ( ~ c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | spl0_2 ),
    inference(subsumption_resolution,[],[f97,f13]) ).

fof(f97,plain,
    ( c_emptyset = v_S
    | ~ c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | spl0_2 ),
    inference(resolution,[],[f77,f12]) ).

fof(f77,plain,
    ( ! [X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(t_a))
        | c_emptyset = X0
        | ~ c_in(c_Pair(v_sko__4mk(v_L,X0,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
        | ~ c_in(c_Pair(v_a,v_sko__4mj(X0,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) )
    | spl0_2 ),
    inference(resolution,[],[f24,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | c_emptyset = X0
      | ~ c_lessequals(X0,X1,tc_set(t_a))
      | ~ c_in(c_Pair(v_sko__4mk(X3,X0,v_r),X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(X2,v_sko__4mj(X0,X2,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/tmp/tmp.UXjpMaMdBV/Vampire---4.8_29474',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_3) ).

fof(f76,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f75]) ).

fof(f75,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f74,f14]) ).

fof(f74,plain,
    ( ~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a)
    | spl0_1 ),
    inference(resolution,[],[f73,f30]) ).

fof(f30,plain,
    ( ! [X0] :
        ( c_in(v_sko__4mi(X0,v_r,v_b),X0,t_a)
        | ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a) )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f26,f11]) ).

fof(f11,axiom,
    c_in(v_b,v_A,t_a),
    file('/export/starexec/sandbox2/tmp/tmp.UXjpMaMdBV/Vampire---4.8_29474',cls_conjecture_1) ).

fof(f26,plain,
    ( ! [X0] :
        ( c_in(v_sko__4mi(X0,v_r,v_b),X0,t_a)
        | ~ c_in(v_b,v_A,t_a)
        | ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a) )
    | spl0_1 ),
    inference(resolution,[],[f20,f9]) ).

fof(f9,axiom,
    ! [X3,X0,X9] :
      ( c_in(c_Pair(X3,X9,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | c_in(v_sko__4mi(X0,v_r,X9),X0,t_a)
      | ~ c_in(X9,v_A,t_a)
      | ~ c_Tarski_OisLub(X0,v_cl,X3,t_a) ),
    file('/export/starexec/sandbox2/tmp/tmp.UXjpMaMdBV/Vampire---4.8_29474',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0) ).

fof(f20,plain,
    ( ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f18,plain,
    ( spl0_1
  <=> c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f73,plain,
    ( ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
    | spl0_1 ),
    inference(resolution,[],[f51,f12]) ).

fof(f51,plain,
    ( ! [X0,X1] :
        ( ~ c_lessequals(X0,c_Tarski_Ointerval(v_r,X1,v_b,t_a),tc_set(t_a))
        | ~ c_in(v_sko__4mi(v_S,v_r,v_b),X0,t_a) )
    | spl0_1 ),
    inference(resolution,[],[f35,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X6,X7,X4,X5] :
      ( c_in(c_Pair(X4,X7,X5,X5),X6,tc_prod(X5,X5))
      | ~ c_lessequals(X0,c_Tarski_Ointerval(X6,X2,X7,X5),tc_set(X5))
      | ~ c_in(X4,X0,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.UXjpMaMdBV/Vampire---4.8_29474',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0) ).

fof(f35,plain,
    ( ~ c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | spl0_1 ),
    inference(resolution,[],[f32,f14]) ).

fof(f32,plain,
    ( ! [X0] :
        ( ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a)
        | ~ c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f31,f11]) ).

fof(f31,plain,
    ( ! [X0] :
        ( ~ c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
        | ~ c_in(v_b,v_A,t_a)
        | ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a) )
    | spl0_1 ),
    inference(resolution,[],[f10,f20]) ).

fof(f10,axiom,
    ! [X3,X0,X9] :
      ( c_in(c_Pair(X3,X9,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_sko__4mi(X0,v_r,X9),X9,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(X9,v_A,t_a)
      | ~ c_Tarski_OisLub(X0,v_cl,X3,t_a) ),
    file('/export/starexec/sandbox2/tmp/tmp.UXjpMaMdBV/Vampire---4.8_29474',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1) ).

fof(f25,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f16,f22,f18]) ).

fof(f16,plain,
    ( ~ c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(resolution,[],[f7,f15]) ).

fof(f15,axiom,
    ~ c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
    file('/export/starexec/sandbox2/tmp/tmp.UXjpMaMdBV/Vampire---4.8_29474',cls_conjecture_6) ).

fof(f7,axiom,
    ! [X2,X6,X7,X4,X5] :
      ( c_in(X4,c_Tarski_Ointerval(X6,X2,X7,X5),X5)
      | ~ c_in(c_Pair(X2,X4,X5,X5),X6,tc_prod(X5,X5))
      | ~ c_in(c_Pair(X4,X7,X5,X5),X6,tc_prod(X5,X5)) ),
    file('/export/starexec/sandbox2/tmp/tmp.UXjpMaMdBV/Vampire---4.8_29474',cls_Tarski_O_91_124_A_Ia1_M_Ax1_J_A_58_Ar_59_A_Ix1_M_Ab1_J_A_58_Ar_A_124_93_A_61_61_62_Ax1_A_58_Ainterval_Ar_Aa1_Ab1_A_61_61_ATrue_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LAT274-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n007.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 16:18:18 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.UXjpMaMdBV/Vampire---4.8_29474
% 0.62/0.81  % (29966)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.62/0.81  % (29959)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.81  % (29966)Refutation not found, incomplete strategy% (29966)------------------------------
% 0.62/0.81  % (29966)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (29966)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (29966)Memory used [KB]: 961
% 0.62/0.81  % (29966)Time elapsed: 0.002 s
% 0.62/0.81  % (29966)Instructions burned: 2 (million)
% 0.62/0.81  % (29966)------------------------------
% 0.62/0.81  % (29966)------------------------------
% 0.62/0.81  % (29961)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.81  % (29960)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.62/0.81  % (29962)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.81  % (29963)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.81  % (29964)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.81  % (29965)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.62/0.81  % (29964)Refutation not found, incomplete strategy% (29964)------------------------------
% 0.62/0.81  % (29964)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (29964)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (29964)Memory used [KB]: 955
% 0.62/0.81  % (29964)Time elapsed: 0.002 s
% 0.62/0.81  % (29964)Instructions burned: 2 (million)
% 0.62/0.81  % (29964)------------------------------
% 0.62/0.81  % (29964)------------------------------
% 0.62/0.82  % (29962)Refutation not found, incomplete strategy% (29962)------------------------------
% 0.62/0.82  % (29962)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (29962)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (29962)Memory used [KB]: 978
% 0.62/0.82  % (29962)Time elapsed: 0.003 s
% 0.62/0.82  % (29962)Instructions burned: 3 (million)
% 0.62/0.82  % (29962)------------------------------
% 0.62/0.82  % (29962)------------------------------
% 0.62/0.82  % (29969)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.62/0.82  % (29969)Refutation not found, incomplete strategy% (29969)------------------------------
% 0.62/0.82  % (29969)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (29969)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (29969)Memory used [KB]: 972
% 0.62/0.82  % (29969)Time elapsed: 0.002 s
% 0.62/0.82  % (29969)Instructions burned: 4 (million)
% 0.62/0.82  % (29969)------------------------------
% 0.62/0.82  % (29969)------------------------------
% 0.62/0.82  % (29971)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.62/0.82  % (29972)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.62/0.82  % (29974)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.62/0.82  % (29961)First to succeed.
% 0.62/0.82  % (29965)Also succeeded, but the first one will report.
% 0.62/0.83  % (29961)Refutation found. Thanks to Tanya!
% 0.62/0.83  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.83  % (29961)------------------------------
% 0.62/0.83  % (29961)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83  % (29961)Termination reason: Refutation
% 0.62/0.83  
% 0.62/0.83  % (29961)Memory used [KB]: 1106
% 0.62/0.83  % (29961)Time elapsed: 0.012 s
% 0.62/0.83  % (29961)Instructions burned: 17 (million)
% 0.62/0.83  % (29961)------------------------------
% 0.62/0.83  % (29961)------------------------------
% 0.62/0.83  % (29752)Success in time 0.448 s
% 0.62/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------