TSTP Solution File: KRS116+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS116+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : 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 : Sun May  5 07:17:54 EDT 2024

% Result   : Unsatisfiable 0.59s 0.80s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  109 (   5 unt;   0 def)
%            Number of atoms       :  339 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  371 ( 141   ~; 125   |;  43   &)
%                                         (  18 <=>;  44  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   24 (  23 usr;   6 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :  179 ( 152   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f209,plain,
    $false,
    inference(avatar_sat_refutation,[],[f118,f134,f158,f188,f205,f208]) ).

fof(f208,plain,
    ( ~ spl6_6
    | spl6_10 ),
    inference(avatar_split_clause,[],[f206,f185,f149]) ).

fof(f149,plain,
    ( spl6_6
  <=> ca_Ax2(sK0(i2003_11_14_17_21_33997)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).

fof(f185,plain,
    ( spl6_10
  <=> rp(sK0(i2003_11_14_17_21_33997),sK2(sK0(i2003_11_14_17_21_33997))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).

fof(f206,plain,
    ( ~ ca_Ax2(sK0(i2003_11_14_17_21_33997))
    | spl6_10 ),
    inference(resolution,[],[f187,f76]) ).

fof(f76,plain,
    ! [X0] :
      ( rp(X0,sK2(X0))
      | ~ ca_Ax2(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ca_Vx4(X1)
            | ~ rp(X0,X1) )
        & rp(X0,sK2(X0))
        & rr(X0,sK3(X0))
        & ! [X4] :
            ( cc(X4)
            | ~ rr(X0,X4) )
        & ! [X5] :
            ( ca_Vx5(X5)
            | ~ rp(X0,X5) )
        & ! [X6] :
            ( ca_Vx3(X6)
            | ~ rp(X0,X6) ) )
      | ~ ca_Ax2(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f44,f60,f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ? [X2] : rp(X0,X2)
     => rp(X0,sK2(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ! [X0] :
      ( ? [X3] : rr(X0,X3)
     => rr(X0,sK3(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f44,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ca_Vx4(X1)
            | ~ rp(X0,X1) )
        & ? [X2] : rp(X0,X2)
        & ? [X3] : rr(X0,X3)
        & ! [X4] :
            ( cc(X4)
            | ~ rr(X0,X4) )
        & ! [X5] :
            ( ca_Vx5(X5)
            | ~ rp(X0,X5) )
        & ! [X6] :
            ( ca_Vx3(X6)
            | ~ rp(X0,X6) ) )
      | ~ ca_Ax2(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ca_Ax2(X0)
     => ( ! [X1] :
            ( rp(X0,X1)
           => ca_Vx4(X1) )
        & ? [X2] : rp(X0,X2)
        & ? [X3] : rr(X0,X3)
        & ! [X4] :
            ( rr(X0,X4)
           => cc(X4) )
        & ! [X5] :
            ( rp(X0,X5)
           => ca_Vx5(X5) )
        & ! [X6] :
            ( rp(X0,X6)
           => ca_Vx3(X6) ) ) ),
    inference(pure_predicate_removal,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ca_Ax2(X0)
     => ( ! [X1] :
            ( rp(X0,X1)
           => ca_Vx4(X1) )
        & ? [X2] :
            ( cowlThing(X2)
            & rp(X0,X2) )
        & ? [X3] :
            ( cowlThing(X3)
            & rr(X0,X3) )
        & ! [X4] :
            ( rr(X0,X4)
           => cc(X4) )
        & ! [X5] :
            ( rp(X0,X5)
           => ca_Vx5(X5) )
        & ! [X6] :
            ( rp(X0,X6)
           => ca_Vx3(X6) ) ) ),
    inference(unused_predicate_definition_removal,[],[f20]) ).

fof(f20,plain,
    ! [X0] :
      ( ca_Ax2(X0)
    <=> ( ! [X1] :
            ( rp(X0,X1)
           => ca_Vx4(X1) )
        & ? [X2] :
            ( cowlThing(X2)
            & rp(X0,X2) )
        & ? [X3] :
            ( cowlThing(X3)
            & rr(X0,X3) )
        & ! [X4] :
            ( rr(X0,X4)
           => cc(X4) )
        & ! [X5] :
            ( rp(X0,X5)
           => ca_Vx5(X5) )
        & ! [X6] :
            ( rp(X0,X6)
           => ca_Vx3(X6) ) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ca_Ax2(X0)
    <=> ( ! [X1] :
            ( rp(X0,X1)
           => ca_Vx4(X1) )
        & ? [X1] :
            ( cowlThing(X1)
            & rp(X0,X1) )
        & ? [X1] :
            ( cowlThing(X1)
            & rr(X0,X1) )
        & ! [X1] :
            ( rr(X0,X1)
           => cc(X1) )
        & ! [X1] :
            ( rp(X0,X1)
           => ca_Vx5(X1) )
        & ! [X1] :
            ( rp(X0,X1)
           => ca_Vx3(X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3hvLPDxjDp/Vampire---4.8_13253',axiom_7) ).

fof(f187,plain,
    ( ~ rp(sK0(i2003_11_14_17_21_33997),sK2(sK0(i2003_11_14_17_21_33997)))
    | spl6_10 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f205,plain,
    ( ~ spl6_6
    | spl6_9 ),
    inference(avatar_split_clause,[],[f203,f181,f149]) ).

fof(f181,plain,
    ( spl6_9
  <=> ca_Vx3(sK2(sK0(i2003_11_14_17_21_33997))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).

fof(f203,plain,
    ( ~ ca_Ax2(sK0(i2003_11_14_17_21_33997))
    | spl6_9 ),
    inference(resolution,[],[f183,f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ca_Vx3(sK2(X0))
      | ~ ca_Ax2(X0) ),
    inference(duplicate_literal_removal,[],[f97]) ).

fof(f97,plain,
    ! [X0] :
      ( ca_Vx3(sK2(X0))
      | ~ ca_Ax2(X0)
      | ~ ca_Ax2(X0) ),
    inference(resolution,[],[f72,f76]) ).

fof(f72,plain,
    ! [X0,X6] :
      ( ~ rp(X0,X6)
      | ca_Vx3(X6)
      | ~ ca_Ax2(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f183,plain,
    ( ~ ca_Vx3(sK2(sK0(i2003_11_14_17_21_33997)))
    | spl6_9 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f188,plain,
    ( ~ spl6_6
    | ~ spl6_9
    | ~ spl6_10
    | ~ spl6_2
    | ~ spl6_6 ),
    inference(avatar_split_clause,[],[f177,f149,f116,f185,f181,f149]) ).

fof(f116,plain,
    ( spl6_2
  <=> ! [X0] :
        ( ~ cc(sK4(X0))
        | ~ rinvP(X0,sK0(i2003_11_14_17_21_33997))
        | ~ ca_Vx3(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f177,plain,
    ( ~ rp(sK0(i2003_11_14_17_21_33997),sK2(sK0(i2003_11_14_17_21_33997)))
    | ~ ca_Vx3(sK2(sK0(i2003_11_14_17_21_33997)))
    | ~ ca_Ax2(sK0(i2003_11_14_17_21_33997))
    | ~ spl6_2
    | ~ spl6_6 ),
    inference(resolution,[],[f166,f90]) ).

fof(f90,plain,
    ! [X0] :
      ( rinvP(sK2(X0),X0)
      | ~ ca_Ax2(X0) ),
    inference(resolution,[],[f83,f76]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ~ rp(X1,X0)
      | rinvP(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( rinvP(X0,X1)
      | ~ rp(X1,X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( rp(X1,X0)
     => rinvP(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( rinvP(X0,X1)
    <=> rp(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.3hvLPDxjDp/Vampire---4.8_13253',axiom_13) ).

fof(f166,plain,
    ( ! [X0] :
        ( ~ rinvP(X0,sK0(i2003_11_14_17_21_33997))
        | ~ rp(sK0(i2003_11_14_17_21_33997),X0)
        | ~ ca_Vx3(X0) )
    | ~ spl6_2
    | ~ spl6_6 ),
    inference(resolution,[],[f164,f150]) ).

fof(f150,plain,
    ( ca_Ax2(sK0(i2003_11_14_17_21_33997))
    | ~ spl6_6 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f164,plain,
    ( ! [X0,X1] :
        ( ~ ca_Ax2(X1)
        | ~ rinvP(X0,sK0(i2003_11_14_17_21_33997))
        | ~ rp(X1,X0)
        | ~ ca_Vx3(X0) )
    | ~ spl6_2 ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ( ! [X0,X1] :
        ( ~ ca_Vx3(X0)
        | ~ rinvP(X0,sK0(i2003_11_14_17_21_33997))
        | ~ rp(X1,X0)
        | ~ ca_Ax2(X1)
        | ~ ca_Vx3(X0) )
    | ~ spl6_2 ),
    inference(resolution,[],[f121,f78]) ).

fof(f78,plain,
    ! [X0] :
      ( rr(X0,sK4(X0))
      | ~ ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( rr(X0,sK4(X0))
      | ~ ca_Vx3(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f45,f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ? [X1] : rr(X0,X1)
     => rr(X0,sK4(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ! [X0] :
      ( ? [X1] : rr(X0,X1)
      | ~ ca_Vx3(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ca_Vx3(X0)
     => ? [X1] : rr(X0,X1) ),
    inference(pure_predicate_removal,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ca_Vx3(X0)
     => ? [X1] :
          ( cowlThing(X1)
          & rr(X0,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( ca_Vx3(X0)
    <=> ? [X1] :
          ( cowlThing(X1)
          & rr(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3hvLPDxjDp/Vampire---4.8_13253',axiom_8) ).

fof(f121,plain,
    ( ! [X2,X0,X1] :
        ( ~ rr(X1,sK4(X0))
        | ~ ca_Vx3(X0)
        | ~ rinvP(X0,sK0(i2003_11_14_17_21_33997))
        | ~ rp(X2,X1)
        | ~ ca_Ax2(X2) )
    | ~ spl6_2 ),
    inference(resolution,[],[f119,f73]) ).

fof(f73,plain,
    ! [X0,X5] :
      ( ca_Vx5(X5)
      | ~ rp(X0,X5)
      | ~ ca_Ax2(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f119,plain,
    ( ! [X0,X1] :
        ( ~ ca_Vx5(X1)
        | ~ ca_Vx3(X0)
        | ~ rr(X1,sK4(X0))
        | ~ rinvP(X0,sK0(i2003_11_14_17_21_33997)) )
    | ~ spl6_2 ),
    inference(resolution,[],[f117,f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( cc(X1)
      | ~ rr(X0,X1)
      | ~ ca_Vx5(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ! [X1] :
          ( cc(X1)
          | ~ rr(X0,X1) )
      | ~ ca_Vx5(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0] :
      ( ca_Vx5(X0)
     => ! [X1] :
          ( rr(X0,X1)
         => cc(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( ca_Vx5(X0)
    <=> ! [X1] :
          ( rr(X0,X1)
         => cc(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3hvLPDxjDp/Vampire---4.8_13253',axiom_10) ).

fof(f117,plain,
    ( ! [X0] :
        ( ~ cc(sK4(X0))
        | ~ rinvP(X0,sK0(i2003_11_14_17_21_33997))
        | ~ ca_Vx3(X0) )
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f158,plain,
    ( ~ spl6_1
    | spl6_6 ),
    inference(avatar_split_clause,[],[f157,f149,f112]) ).

fof(f112,plain,
    ( spl6_1
  <=> cUnsatisfiable(i2003_11_14_17_21_33997) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f157,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
    | spl6_6 ),
    inference(resolution,[],[f151,f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ca_Ax2(sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ( ca_Ax2(sK0(X0))
        & rs(X0,sK0(X0)) )
      | ~ cUnsatisfiable(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f40,f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ? [X1] :
          ( ca_Ax2(X1)
          & rs(X0,X1) )
     => ( ca_Ax2(sK0(X0))
        & rs(X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ! [X0] :
      ( ? [X1] :
          ( ca_Ax2(X1)
          & rs(X0,X1) )
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ? [X1] :
          ( ca_Ax2(X1)
          & rs(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3hvLPDxjDp/Vampire---4.8_13253',axiom_3) ).

fof(f151,plain,
    ( ~ ca_Ax2(sK0(i2003_11_14_17_21_33997))
    | spl6_6 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f134,plain,
    spl6_1,
    inference(avatar_contradiction_clause,[],[f133]) ).

fof(f133,plain,
    ( $false
    | spl6_1 ),
    inference(resolution,[],[f114,f87]) ).

fof(f87,plain,
    cUnsatisfiable(i2003_11_14_17_21_33997),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,axiom,
    cUnsatisfiable(i2003_11_14_17_21_33997),
    file('/export/starexec/sandbox2/tmp/tmp.3hvLPDxjDp/Vampire---4.8_13253',axiom_17) ).

fof(f114,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
    | spl6_1 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f118,plain,
    ( ~ spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f110,f116,f112]) ).

fof(f110,plain,
    ! [X0] :
      ( ~ cc(sK4(X0))
      | ~ ca_Vx3(X0)
      | ~ rinvP(X0,sK0(i2003_11_14_17_21_33997))
      | ~ cUnsatisfiable(i2003_11_14_17_21_33997) ),
    inference(resolution,[],[f109,f94]) ).

fof(f94,plain,
    ! [X0] :
      ( rinvS(sK0(X0),X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f85,f67]) ).

fof(f67,plain,
    ! [X0] :
      ( rs(X0,sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ~ rs(X1,X0)
      | rinvS(X0,X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( rinvS(X0,X1)
      | ~ rs(X1,X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( rs(X1,X0)
     => rinvS(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( rinvS(X0,X1)
    <=> rs(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.3hvLPDxjDp/Vampire---4.8_13253',axiom_15) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ~ rinvS(X1,i2003_11_14_17_21_33997)
      | ~ cc(sK4(X0))
      | ~ ca_Vx3(X0)
      | ~ rinvP(X0,X1) ),
    inference(resolution,[],[f107,f88]) ).

fof(f88,plain,
    ca(i2003_11_14_17_21_33997),
    inference(resolution,[],[f66,f87]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ca(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ca(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ca(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.3hvLPDxjDp/Vampire---4.8_13253',axiom_2) ).

fof(f107,plain,
    ! [X2,X0,X1] :
      ( ~ ca(X2)
      | ~ cc(sK4(X0))
      | ~ rinvS(X1,X2)
      | ~ ca_Vx3(X0)
      | ~ rinvP(X0,X1) ),
    inference(resolution,[],[f105,f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ~ caxcomp(X0)
      | ~ ca(X0) ),
    inference(resolution,[],[f70,f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ ra_Px1(X0,X1)
      | ~ ca(X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] : ~ ra_Px1(X0,X1)
      | ~ ca(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ca(X0)
     => ~ ? [X1] : ra_Px1(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ca(X0)
    <=> ~ ? [X1] : ra_Px1(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.3hvLPDxjDp/Vampire---4.8_13253',axiom_4) ).

fof(f70,plain,
    ! [X0] :
      ( ra_Px1(X0,sK1(X0))
      | ~ caxcomp(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ra_Px1(X0,sK1(X0))
      | ~ caxcomp(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f42,f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
     => ra_Px1(X0,sK1(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
      | ~ caxcomp(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( caxcomp(X0)
     => ? [X1] : ra_Px1(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f19]) ).

fof(f19,plain,
    ! [X0] :
      ( caxcomp(X0)
    <=> ? [X1] : ra_Px1(X0,X1) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( caxcomp(X0)
    <=> ? [X2] : ra_Px1(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.3hvLPDxjDp/Vampire---4.8_13253',axiom_5) ).

fof(f105,plain,
    ! [X2,X0,X1] :
      ( caxcomp(X2)
      | ~ rinvP(X0,X1)
      | ~ cc(sK4(X0))
      | ~ rinvS(X1,X2)
      | ~ ca_Vx3(X0) ),
    inference(resolution,[],[f101,f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ~ ca_Vx6(X0)
      | ~ rinvS(X0,X1)
      | caxcomp(X1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ! [X1] :
          ( caxcomp(X1)
          | ~ rinvS(X0,X1) )
      | ~ ca_Vx6(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0] :
      ( ca_Vx6(X0)
     => ! [X1] :
          ( rinvS(X0,X1)
         => caxcomp(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( ca_Vx6(X0)
    <=> ! [X1] :
          ( rinvS(X0,X1)
         => caxcomp(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3hvLPDxjDp/Vampire---4.8_13253',axiom_11) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ca_Vx6(X1)
      | ~ ca_Vx3(X0)
      | ~ rinvP(X0,X1)
      | ~ cc(sK4(X0)) ),
    inference(resolution,[],[f96,f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ ca_Vx7(X0)
      | ~ rinvP(X0,X1)
      | ca_Vx6(X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ! [X1] :
          ( ca_Vx6(X1)
          | ~ rinvP(X0,X1) )
      | ~ ca_Vx7(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0] :
      ( ca_Vx7(X0)
     => ! [X1] :
          ( rinvP(X0,X1)
         => ca_Vx6(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( ca_Vx7(X0)
    <=> ! [X1] :
          ( rinvP(X0,X1)
         => ca_Vx6(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3hvLPDxjDp/Vampire---4.8_13253',axiom_12) ).

fof(f96,plain,
    ! [X0] :
      ( ca_Vx7(X0)
      | ~ cc(sK4(X0))
      | ~ ca_Vx3(X0) ),
    inference(resolution,[],[f71,f93]) ).

fof(f93,plain,
    ! [X0] :
      ( rinvR(sK4(X0),X0)
      | ~ ca_Vx3(X0) ),
    inference(resolution,[],[f84,f78]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ rr(X1,X0)
      | rinvR(X0,X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( rinvR(X0,X1)
      | ~ rr(X1,X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( rr(X1,X0)
     => rinvR(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( rinvR(X0,X1)
    <=> rr(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.3hvLPDxjDp/Vampire---4.8_13253',axiom_14) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ rinvR(X0,X1)
      | ca_Vx7(X1)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ! [X1] :
          ( ca_Vx7(X1)
          | ~ rinvR(X0,X1) )
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( cc(X0)
     => ! [X1] :
          ( rinvR(X0,X1)
         => ca_Vx7(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( cc(X0)
    <=> ! [X1] :
          ( rinvR(X0,X1)
         => ca_Vx7(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3hvLPDxjDp/Vampire---4.8_13253',axiom_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : KRS116+1 : TPTP v8.1.2. Released v3.1.0.
% 0.02/0.11  % 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
% 0.11/0.32  % Computer : n005.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 19:53:38 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_UNS_RFO_NEQ problem
% 0.11/0.32  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.3hvLPDxjDp/Vampire---4.8_13253
% 0.59/0.80  % (13367)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)
% 0.59/0.80  % (13362)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)
% 0.59/0.80  % (13365)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)
% 0.59/0.80  % (13364)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.80  % (13366)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)
% 0.59/0.80  % (13363)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)
% 0.59/0.80  % (13368)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)
% 0.59/0.80  % (13369)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)
% 0.59/0.80  % (13364)Refutation not found, incomplete strategy% (13364)------------------------------
% 0.59/0.80  % (13364)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13364)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (13364)Memory used [KB]: 947
% 0.59/0.80  % (13364)Time elapsed: 0.002 s
% 0.59/0.80  % (13362)Refutation not found, incomplete strategy% (13362)------------------------------
% 0.59/0.80  % (13362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13364)Instructions burned: 2 (million)
% 0.59/0.80  % (13365)Refutation not found, incomplete strategy% (13365)------------------------------
% 0.59/0.80  % (13365)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13362)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (13365)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  % (13362)Memory used [KB]: 947
% 0.59/0.80  
% 0.59/0.80  % (13367)Refutation not found, incomplete strategy% (13367)------------------------------
% 0.59/0.80  % (13367)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13362)Time elapsed: 0.002 s
% 0.59/0.80  % (13365)Memory used [KB]: 947
% 0.59/0.80  % (13365)Time elapsed: 0.002 s
% 0.59/0.80  % (13362)Instructions burned: 2 (million)
% 0.59/0.80  % (13367)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  % (13365)Instructions burned: 2 (million)
% 0.59/0.80  
% 0.59/0.80  % (13367)Memory used [KB]: 947
% 0.59/0.80  % (13367)Time elapsed: 0.002 s
% 0.59/0.80  % (13367)Instructions burned: 2 (million)
% 0.59/0.80  % (13369)Refutation not found, incomplete strategy% (13369)------------------------------
% 0.59/0.80  % (13369)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13369)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (13369)Memory used [KB]: 947
% 0.59/0.80  % (13369)Time elapsed: 0.002 s
% 0.59/0.80  % (13369)Instructions burned: 2 (million)
% 0.59/0.80  % (13368)Refutation not found, incomplete strategy% (13368)------------------------------
% 0.59/0.80  % (13368)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13368)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (13368)Memory used [KB]: 947
% 0.59/0.80  % (13368)Time elapsed: 0.002 s
% 0.59/0.80  % (13368)Instructions burned: 2 (million)
% 0.59/0.80  % (13362)------------------------------
% 0.59/0.80  % (13362)------------------------------
% 0.59/0.80  % (13365)------------------------------
% 0.59/0.80  % (13365)------------------------------
% 0.59/0.80  % (13364)------------------------------
% 0.59/0.80  % (13364)------------------------------
% 0.59/0.80  % (13366)Refutation not found, incomplete strategy% (13366)------------------------------
% 0.59/0.80  % (13366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13366)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (13366)Memory used [KB]: 959
% 0.59/0.80  % (13366)Time elapsed: 0.003 s
% 0.59/0.80  % (13366)Instructions burned: 2 (million)
% 0.59/0.80  % (13369)------------------------------
% 0.59/0.80  % (13369)------------------------------
% 0.59/0.80  % (13368)------------------------------
% 0.59/0.80  % (13368)------------------------------
% 0.59/0.80  % (13366)------------------------------
% 0.59/0.80  % (13366)------------------------------
% 0.59/0.80  % (13367)------------------------------
% 0.59/0.80  % (13367)------------------------------
% 0.59/0.80  % (13363)First to succeed.
% 0.59/0.80  % (13371)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)
% 0.59/0.80  % (13373)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)
% 0.59/0.80  % (13372)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)
% 0.59/0.80  % (13374)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)
% 0.59/0.80  % (13375)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.59/0.80  % (13376)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.59/0.80  % (13363)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13360"
% 0.59/0.80  % (13373)Refutation not found, incomplete strategy% (13373)------------------------------
% 0.59/0.80  % (13373)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13373)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (13373)Memory used [KB]: 947
% 0.59/0.80  % (13373)Time elapsed: 0.002 s
% 0.59/0.80  % (13373)Instructions burned: 2 (million)
% 0.59/0.80  % (13374)Refutation not found, incomplete strategy% (13374)------------------------------
% 0.59/0.80  % (13374)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13377)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.59/0.80  % (13375)Refutation not found, incomplete strategy% (13375)------------------------------
% 0.59/0.80  % (13375)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13375)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (13375)Memory used [KB]: 947
% 0.59/0.80  % (13375)Time elapsed: 0.002 s
% 0.59/0.80  % (13375)Instructions burned: 2 (million)
% 0.59/0.80  % (13374)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (13374)Memory used [KB]: 947
% 0.59/0.80  % (13374)Time elapsed: 0.002 s
% 0.59/0.80  % (13374)Instructions burned: 2 (million)
% 0.59/0.80  % (13373)------------------------------
% 0.59/0.80  % (13373)------------------------------
% 0.59/0.80  % (13375)------------------------------
% 0.59/0.80  % (13375)------------------------------
% 0.59/0.80  % (13377)Refutation not found, incomplete strategy% (13377)------------------------------
% 0.59/0.80  % (13377)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13377)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  % (13374)------------------------------
% 0.59/0.80  % (13374)------------------------------
% 0.59/0.80  
% 0.59/0.80  % (13377)Memory used [KB]: 948
% 0.59/0.80  % (13377)Time elapsed: 0.002 s
% 0.59/0.80  % (13377)Instructions burned: 2 (million)
% 0.59/0.80  % (13372)Refutation not found, incomplete strategy% (13372)------------------------------
% 0.59/0.80  % (13372)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13372)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (13372)Memory used [KB]: 1027
% 0.59/0.80  % (13372)Time elapsed: 0.003 s
% 0.59/0.80  % (13372)Instructions burned: 3 (million)
% 0.59/0.80  % (13363)Refutation found. Thanks to Tanya!
% 0.59/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.80  % (13363)------------------------------
% 0.59/0.80  % (13363)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13363)Termination reason: Refutation
% 0.59/0.80  
% 0.59/0.80  % (13363)Memory used [KB]: 1090
% 0.59/0.80  % (13363)Time elapsed: 0.007 s
% 0.59/0.80  % (13363)Instructions burned: 8 (million)
% 0.59/0.80  % (13360)Success in time 0.477 s
% 0.59/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------