TSTP Solution File: SWV398+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV398+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.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 04:03:49 EDT 2024

% Result   : Theorem 0.66s 0.86s
% Output   : Refutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   95 (  10 unt;   0 def)
%            Number of atoms       :  272 (  35 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  296 ( 119   ~; 119   |;  34   &)
%                                         (  11 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   9 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   5 con; 0-3 aty)
%            Number of variables   :  181 ( 159   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f471,plain,
    $false,
    inference(avatar_sat_refutation,[],[f180,f185,f194,f250,f384,f405,f437,f448,f466]) ).

fof(f466,plain,
    ~ spl7_1,
    inference(avatar_contradiction_clause,[],[f465]) ).

fof(f465,plain,
    ( $false
    | ~ spl7_1 ),
    inference(subsumption_resolution,[],[f449,f126]) ).

fof(f126,plain,
    ! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
    file('/export/starexec/sandbox/tmp/tmp.XCZyHDAjCx/Vampire---4.8_21348',ax36) ).

fof(f449,plain,
    ( ~ check_cpq(triple(sK4,create_slb,sK6))
    | ~ spl7_1 ),
    inference(superposition,[],[f106,f171]) ).

fof(f171,plain,
    ( create_slb = sK5
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl7_1
  <=> create_slb = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f106,plain,
    ~ check_cpq(triple(sK4,sK5,sK6)),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ( check_cpq(findmin_cpq_eff(triple(sK4,sK5,sK6)))
    & ~ check_cpq(triple(sK4,sK5,sK6)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f56,f91]) ).

fof(f91,plain,
    ( ? [X0,X1,X2] :
        ( check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
        & ~ check_cpq(triple(X0,X1,X2)) )
   => ( check_cpq(findmin_cpq_eff(triple(sK4,sK5,sK6)))
      & ~ check_cpq(triple(sK4,sK5,sK6)) ) ),
    introduced(choice_axiom,[]) ).

fof(f56,plain,
    ? [X0,X1,X2] :
      ( check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
      & ~ check_cpq(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ~ check_cpq(triple(X0,X1,X2))
       => ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ! [X0,X1,X2] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
    file('/export/starexec/sandbox/tmp/tmp.XCZyHDAjCx/Vampire---4.8_21348',l24_co) ).

fof(f448,plain,
    ~ spl7_11,
    inference(avatar_contradiction_clause,[],[f444]) ).

fof(f444,plain,
    ( $false
    | ~ spl7_11 ),
    inference(unit_resulting_resolution,[],[f106,f379]) ).

fof(f379,plain,
    ( ! [X0,X1] : check_cpq(triple(X0,sK5,X1))
    | ~ spl7_11 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f378,plain,
    ( spl7_11
  <=> ! [X0,X1] : check_cpq(triple(X0,sK5,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).

fof(f437,plain,
    ( spl7_11
    | ~ spl7_3
    | ~ spl7_12 ),
    inference(avatar_split_clause,[],[f436,f381,f177,f378]) ).

fof(f177,plain,
    ( spl7_3
  <=> check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),bad)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).

fof(f381,plain,
    ( spl7_12
  <=> strictly_less_than(sK0(sK5),sK1(sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_12])]) ).

fof(f436,plain,
    ( ! [X0,X1] : check_cpq(triple(X0,sK5,X1))
    | ~ spl7_3
    | ~ spl7_12 ),
    inference(subsumption_resolution,[],[f435,f382]) ).

fof(f382,plain,
    ( strictly_less_than(sK0(sK5),sK1(sK5))
    | ~ spl7_12 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f435,plain,
    ( ! [X0,X1] :
        ( ~ strictly_less_than(sK0(sK5),sK1(sK5))
        | check_cpq(triple(X0,sK5,X1)) )
    | ~ spl7_3 ),
    inference(resolution,[],[f426,f102]) ).

fof(f102,plain,
    ! [X2,X0,X1] :
      ( pair_in_list(X1,sK0(X1),sK1(X1))
      | check_cpq(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1,X2] :
      ( ( check_cpq(triple(X0,X1,X2))
        | ( ~ less_than(sK1(X1),sK0(X1))
          & pair_in_list(X1,sK0(X1),sK1(X1)) ) )
      & ( ! [X5,X6] :
            ( less_than(X6,X5)
            | ~ pair_in_list(X1,X5,X6) )
        | ~ check_cpq(triple(X0,X1,X2)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f85,f86]) ).

fof(f86,plain,
    ! [X1] :
      ( ? [X3,X4] :
          ( ~ less_than(X4,X3)
          & pair_in_list(X1,X3,X4) )
     => ( ~ less_than(sK1(X1),sK0(X1))
        & pair_in_list(X1,sK0(X1),sK1(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( ( check_cpq(triple(X0,X1,X2))
        | ? [X3,X4] :
            ( ~ less_than(X4,X3)
            & pair_in_list(X1,X3,X4) ) )
      & ( ! [X5,X6] :
            ( less_than(X6,X5)
            | ~ pair_in_list(X1,X5,X6) )
        | ~ check_cpq(triple(X0,X1,X2)) ) ),
    inference(rectify,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1,X2] :
      ( ( check_cpq(triple(X0,X1,X2))
        | ? [X3,X4] :
            ( ~ less_than(X4,X3)
            & pair_in_list(X1,X3,X4) ) )
      & ( ! [X3,X4] :
            ( less_than(X4,X3)
            | ~ pair_in_list(X1,X3,X4) )
        | ~ check_cpq(triple(X0,X1,X2)) ) ),
    inference(nnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1,X2] :
      ( check_cpq(triple(X0,X1,X2))
    <=> ! [X3,X4] :
          ( less_than(X4,X3)
          | ~ pair_in_list(X1,X3,X4) ) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0,X1,X2] :
      ( check_cpq(triple(X0,X1,X2))
    <=> ! [X3,X4] :
          ( pair_in_list(X1,X3,X4)
         => less_than(X4,X3) ) ),
    file('/export/starexec/sandbox/tmp/tmp.XCZyHDAjCx/Vampire---4.8_21348',l26_li4142) ).

fof(f426,plain,
    ( ! [X0,X1] :
        ( ~ pair_in_list(sK5,X0,X1)
        | ~ strictly_less_than(X0,X1) )
    | ~ spl7_3 ),
    inference(subsumption_resolution,[],[f424,f236]) ).

fof(f236,plain,
    ! [X2,X3,X0,X1] :
      ( ~ less_than(sK3(X2,X3),sK2(X2,X3))
      | ~ pair_in_list(X2,X0,X1)
      | ~ strictly_less_than(X0,X1) ),
    inference(resolution,[],[f105,f115]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ~ strictly_less_than(X0,X1)
      | ~ less_than(X1,X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ( strictly_less_than(X0,X1)
        | less_than(X1,X0)
        | ~ less_than(X0,X1) )
      & ( ( ~ less_than(X1,X0)
          & less_than(X0,X1) )
        | ~ strictly_less_than(X0,X1) ) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ( strictly_less_than(X0,X1)
        | less_than(X1,X0)
        | ~ less_than(X0,X1) )
      & ( ( ~ less_than(X1,X0)
          & less_than(X0,X1) )
        | ~ strictly_less_than(X0,X1) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
    <=> ( ~ less_than(X1,X0)
        & less_than(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.XCZyHDAjCx/Vampire---4.8_21348',stricly_smaller_definition) ).

fof(f105,plain,
    ! [X0,X1,X4,X5] :
      ( strictly_less_than(sK2(X0,X1),sK3(X0,X1))
      | ~ strictly_less_than(X4,X5)
      | ~ pair_in_list(X0,X4,X5) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( ! [X1] :
          ( strictly_less_than(sK2(X0,X1),sK3(X0,X1))
          & pair_in_list(update_slb(X0,X1),sK2(X0,X1),sK3(X0,X1)) )
      | ! [X4,X5] :
          ( ~ strictly_less_than(X4,X5)
          | ~ pair_in_list(X0,X4,X5) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f88,f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( strictly_less_than(X2,X3)
          & pair_in_list(update_slb(X0,X1),X2,X3) )
     => ( strictly_less_than(sK2(X0,X1),sK3(X0,X1))
        & pair_in_list(update_slb(X0,X1),sK2(X0,X1),sK3(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f88,plain,
    ! [X0] :
      ( ! [X1] :
        ? [X2,X3] :
          ( strictly_less_than(X2,X3)
          & pair_in_list(update_slb(X0,X1),X2,X3) )
      | ! [X4,X5] :
          ( ~ strictly_less_than(X4,X5)
          | ~ pair_in_list(X0,X4,X5) ) ),
    inference(rectify,[],[f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ! [X3] :
        ? [X4,X5] :
          ( strictly_less_than(X4,X5)
          & pair_in_list(update_slb(X0,X3),X4,X5) )
      | ! [X1,X2] :
          ( ~ strictly_less_than(X1,X2)
          | ~ pair_in_list(X0,X1,X2) ) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0] :
      ( ? [X1,X2] :
          ( strictly_less_than(X1,X2)
          & pair_in_list(X0,X1,X2) )
     => ! [X3] :
        ? [X4,X5] :
          ( strictly_less_than(X4,X5)
          & pair_in_list(update_slb(X0,X3),X4,X5) ) ),
    file('/export/starexec/sandbox/tmp/tmp.XCZyHDAjCx/Vampire---4.8_21348',l34_l35) ).

fof(f424,plain,
    ( ! [X0,X1] :
        ( less_than(sK3(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4)))
        | ~ strictly_less_than(X0,X1)
        | ~ pair_in_list(sK5,X0,X1) )
    | ~ spl7_3 ),
    inference(resolution,[],[f407,f104]) ).

fof(f104,plain,
    ! [X0,X1,X4,X5] :
      ( pair_in_list(update_slb(X0,X1),sK2(X0,X1),sK3(X0,X1))
      | ~ strictly_less_than(X4,X5)
      | ~ pair_in_list(X0,X4,X5) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f407,plain,
    ( ! [X0,X1] :
        ( ~ pair_in_list(update_slb(sK5,findmin_pqp_res(sK4)),X0,X1)
        | less_than(X1,X0) )
    | ~ spl7_3 ),
    inference(resolution,[],[f179,f101]) ).

fof(f101,plain,
    ! [X2,X0,X1,X6,X5] :
      ( ~ check_cpq(triple(X0,X1,X2))
      | ~ pair_in_list(X1,X5,X6)
      | less_than(X6,X5) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f179,plain,
    ( check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),bad))
    | ~ spl7_3 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f405,plain,
    spl7_12,
    inference(avatar_contradiction_clause,[],[f404]) ).

fof(f404,plain,
    ( $false
    | spl7_12 ),
    inference(subsumption_resolution,[],[f403,f216]) ).

fof(f216,plain,
    less_than(sK0(sK5),sK1(sK5)),
    inference(resolution,[],[f197,f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | less_than(X0,X1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | less_than(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.XCZyHDAjCx/Vampire---4.8_21348',totality) ).

fof(f197,plain,
    ~ less_than(sK1(sK5),sK0(sK5)),
    inference(resolution,[],[f103,f106]) ).

fof(f103,plain,
    ! [X2,X0,X1] :
      ( check_cpq(triple(X0,X1,X2))
      | ~ less_than(sK1(X1),sK0(X1)) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f403,plain,
    ( ~ less_than(sK0(sK5),sK1(sK5))
    | spl7_12 ),
    inference(subsumption_resolution,[],[f401,f197]) ).

fof(f401,plain,
    ( less_than(sK1(sK5),sK0(sK5))
    | ~ less_than(sK0(sK5),sK1(sK5))
    | spl7_12 ),
    inference(resolution,[],[f383,f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0)
      | ~ less_than(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f383,plain,
    ( ~ strictly_less_than(sK0(sK5),sK1(sK5))
    | spl7_12 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f384,plain,
    ( spl7_11
    | ~ spl7_12
    | ~ spl7_6 ),
    inference(avatar_split_clause,[],[f376,f191,f381,f378]) ).

fof(f191,plain,
    ( spl7_6
  <=> check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).

fof(f376,plain,
    ( ! [X0,X1] :
        ( ~ strictly_less_than(sK0(sK5),sK1(sK5))
        | check_cpq(triple(X0,sK5,X1)) )
    | ~ spl7_6 ),
    inference(resolution,[],[f366,f102]) ).

fof(f366,plain,
    ( ! [X0,X1] :
        ( ~ pair_in_list(sK5,X0,X1)
        | ~ strictly_less_than(X0,X1) )
    | ~ spl7_6 ),
    inference(subsumption_resolution,[],[f364,f236]) ).

fof(f364,plain,
    ( ! [X0,X1] :
        ( less_than(sK3(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4)))
        | ~ strictly_less_than(X0,X1)
        | ~ pair_in_list(sK5,X0,X1) )
    | ~ spl7_6 ),
    inference(resolution,[],[f251,f104]) ).

fof(f251,plain,
    ( ! [X0,X1] :
        ( ~ pair_in_list(update_slb(sK5,findmin_pqp_res(sK4)),X0,X1)
        | less_than(X1,X0) )
    | ~ spl7_6 ),
    inference(resolution,[],[f193,f101]) ).

fof(f193,plain,
    ( check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),sK6))
    | ~ spl7_6 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f250,plain,
    ( spl7_5
    | spl7_4 ),
    inference(avatar_split_clause,[],[f249,f182,f187]) ).

fof(f187,plain,
    ( spl7_5
  <=> less_than(lookup_slb(sK5,findmin_pqp_res(sK4)),findmin_pqp_res(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).

fof(f182,plain,
    ( spl7_4
  <=> strictly_less_than(findmin_pqp_res(sK4),lookup_slb(sK5,findmin_pqp_res(sK4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).

fof(f249,plain,
    ( less_than(lookup_slb(sK5,findmin_pqp_res(sK4)),findmin_pqp_res(sK4))
    | spl7_4 ),
    inference(subsumption_resolution,[],[f241,f118]) ).

fof(f241,plain,
    ( less_than(lookup_slb(sK5,findmin_pqp_res(sK4)),findmin_pqp_res(sK4))
    | ~ less_than(findmin_pqp_res(sK4),lookup_slb(sK5,findmin_pqp_res(sK4)))
    | spl7_4 ),
    inference(resolution,[],[f184,f116]) ).

fof(f184,plain,
    ( ~ strictly_less_than(findmin_pqp_res(sK4),lookup_slb(sK5,findmin_pqp_res(sK4)))
    | spl7_4 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f194,plain,
    ( spl7_1
    | ~ spl7_2
    | ~ spl7_5
    | spl7_6 ),
    inference(avatar_split_clause,[],[f167,f191,f187,f173,f169]) ).

fof(f173,plain,
    ( spl7_2
  <=> contains_slb(sK5,findmin_pqp_res(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

fof(f167,plain,
    ( check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),sK6))
    | ~ less_than(lookup_slb(sK5,findmin_pqp_res(sK4)),findmin_pqp_res(sK4))
    | ~ contains_slb(sK5,findmin_pqp_res(sK4))
    | create_slb = sK5 ),
    inference(superposition,[],[f107,f108]) ).

fof(f108,plain,
    ! [X2,X0,X1] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
      | ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
      | ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1 ),
    inference(flattening,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
      | ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1 ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
        & contains_slb(X1,findmin_pqp_res(X0))
        & create_slb != X1 )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
    inference(rectify,[],[f37]) ).

fof(f37,axiom,
    ! [X0,X1,X2,X3] :
      ( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
        & contains_slb(X1,findmin_pqp_res(X0))
        & create_slb != X1 )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
    file('/export/starexec/sandbox/tmp/tmp.XCZyHDAjCx/Vampire---4.8_21348',ax49) ).

fof(f107,plain,
    check_cpq(findmin_cpq_eff(triple(sK4,sK5,sK6))),
    inference(cnf_transformation,[],[f92]) ).

fof(f185,plain,
    ( spl7_1
    | ~ spl7_2
    | ~ spl7_4
    | spl7_3 ),
    inference(avatar_split_clause,[],[f166,f177,f182,f173,f169]) ).

fof(f166,plain,
    ( check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),bad))
    | ~ strictly_less_than(findmin_pqp_res(sK4),lookup_slb(sK5,findmin_pqp_res(sK4)))
    | ~ contains_slb(sK5,findmin_pqp_res(sK4))
    | create_slb = sK5 ),
    inference(superposition,[],[f107,f127]) ).

fof(f127,plain,
    ! [X2,X0,X1] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1 ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1 ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1 ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
        & contains_slb(X1,findmin_pqp_res(X0))
        & create_slb != X1 )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(rectify,[],[f36]) ).

fof(f36,axiom,
    ! [X0,X1,X2,X3] :
      ( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
        & contains_slb(X1,findmin_pqp_res(X0))
        & create_slb != X1 )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    file('/export/starexec/sandbox/tmp/tmp.XCZyHDAjCx/Vampire---4.8_21348',ax48) ).

fof(f180,plain,
    ( spl7_1
    | spl7_2
    | spl7_3 ),
    inference(avatar_split_clause,[],[f165,f177,f173,f169]) ).

fof(f165,plain,
    ( check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),bad))
    | contains_slb(sK5,findmin_pqp_res(sK4))
    | create_slb = sK5 ),
    inference(superposition,[],[f107,f130]) ).

fof(f130,plain,
    ! [X2,X0,X1] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1 ),
    inference(flattening,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1 ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ( ~ contains_slb(X1,findmin_pqp_res(X0))
        & create_slb != X1 )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1,X2,X3] :
      ( ( ~ contains_slb(X1,findmin_pqp_res(X0))
        & create_slb != X1 )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    file('/export/starexec/sandbox/tmp/tmp.XCZyHDAjCx/Vampire---4.8_21348',ax47) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWV398+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33  % Computer : n011.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 Apr 30 18:39:46 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.XCZyHDAjCx/Vampire---4.8_21348
% 0.61/0.82  % (21465)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)
% 0.61/0.82  % (21463)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)
% 0.61/0.82  % (21464)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)
% 0.61/0.82  % (21462)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.82  % (21460)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)
% 0.61/0.82  % (21461)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)
% 0.61/0.82  % (21466)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)
% 0.61/0.82  % (21467)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)
% 0.66/0.83  % (21460)Instruction limit reached!
% 0.66/0.83  % (21460)------------------------------
% 0.66/0.83  % (21460)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.83  % (21460)Termination reason: Unknown
% 0.66/0.83  % (21460)Termination phase: Saturation
% 0.66/0.83  
% 0.66/0.83  % (21460)Memory used [KB]: 1246
% 0.66/0.83  % (21460)Time elapsed: 0.020 s
% 0.66/0.83  % (21460)Instructions burned: 34 (million)
% 0.66/0.83  % (21460)------------------------------
% 0.66/0.83  % (21460)------------------------------
% 0.66/0.84  % (21464)Instruction limit reached!
% 0.66/0.84  % (21464)------------------------------
% 0.66/0.84  % (21464)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.84  % (21464)Termination reason: Unknown
% 0.66/0.84  % (21464)Termination phase: Saturation
% 0.66/0.84  
% 0.66/0.84  % (21464)Memory used [KB]: 1379
% 0.66/0.84  % (21464)Time elapsed: 0.020 s
% 0.66/0.84  % (21464)Instructions burned: 35 (million)
% 0.66/0.84  % (21464)------------------------------
% 0.66/0.84  % (21464)------------------------------
% 0.66/0.84  % (21463)Instruction limit reached!
% 0.66/0.84  % (21463)------------------------------
% 0.66/0.84  % (21463)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.84  % (21463)Termination reason: Unknown
% 0.66/0.84  % (21463)Termination phase: Saturation
% 0.66/0.84  
% 0.66/0.84  % (21463)Memory used [KB]: 1520
% 0.66/0.84  % (21463)Time elapsed: 0.021 s
% 0.66/0.84  % (21463)Instructions burned: 33 (million)
% 0.66/0.84  % (21463)------------------------------
% 0.66/0.84  % (21463)------------------------------
% 0.66/0.84  % (21468)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)
% 0.66/0.84  % (21469)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)
% 0.66/0.84  % (21470)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)
% 0.66/0.84  % (21465)Instruction limit reached!
% 0.66/0.84  % (21465)------------------------------
% 0.66/0.84  % (21465)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.84  % (21465)Termination reason: Unknown
% 0.66/0.84  % (21465)Termination phase: Saturation
% 0.66/0.84  
% 0.66/0.84  % (21465)Memory used [KB]: 1299
% 0.66/0.84  % (21465)Time elapsed: 0.025 s
% 0.66/0.84  % (21465)Instructions burned: 45 (million)
% 0.66/0.84  % (21465)------------------------------
% 0.66/0.84  % (21465)------------------------------
% 0.66/0.84  % (21461)Instruction limit reached!
% 0.66/0.84  % (21461)------------------------------
% 0.66/0.84  % (21461)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.84  % (21461)Termination reason: Unknown
% 0.66/0.84  % (21461)Termination phase: Saturation
% 0.66/0.84  
% 0.66/0.84  % (21461)Memory used [KB]: 1201
% 0.66/0.84  % (21461)Time elapsed: 0.026 s
% 0.66/0.84  % (21461)Instructions burned: 52 (million)
% 0.66/0.84  % (21461)------------------------------
% 0.66/0.84  % (21461)------------------------------
% 0.66/0.84  % (21471)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)
% 0.66/0.84  % (21472)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)
% 0.66/0.85  % (21467)Instruction limit reached!
% 0.66/0.85  % (21467)------------------------------
% 0.66/0.85  % (21467)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.85  % (21467)Termination reason: Unknown
% 0.66/0.85  % (21467)Termination phase: Saturation
% 0.66/0.85  
% 0.66/0.85  % (21467)Memory used [KB]: 1401
% 0.66/0.85  % (21467)Time elapsed: 0.031 s
% 0.66/0.85  % (21467)Instructions burned: 57 (million)
% 0.66/0.85  % (21467)------------------------------
% 0.66/0.85  % (21467)------------------------------
% 0.66/0.85  % (21473)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)
% 0.66/0.86  % (21472)First to succeed.
% 0.66/0.86  % (21462)Instruction limit reached!
% 0.66/0.86  % (21462)------------------------------
% 0.66/0.86  % (21462)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.86  % (21462)Termination reason: Unknown
% 0.66/0.86  % (21462)Termination phase: Saturation
% 0.66/0.86  
% 0.66/0.86  % (21462)Memory used [KB]: 1938
% 0.66/0.86  % (21462)Time elapsed: 0.045 s
% 0.66/0.86  % (21462)Instructions burned: 79 (million)
% 0.66/0.86  % (21462)------------------------------
% 0.66/0.86  % (21462)------------------------------
% 0.66/0.86  % (21466)Instruction limit reached!
% 0.66/0.86  % (21466)------------------------------
% 0.66/0.86  % (21466)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.86  % (21466)Termination reason: Unknown
% 0.66/0.86  % (21466)Termination phase: Saturation
% 0.66/0.86  
% 0.66/0.86  % (21466)Memory used [KB]: 1932
% 0.66/0.86  % (21466)Time elapsed: 0.045 s
% 0.66/0.86  % (21466)Instructions burned: 84 (million)
% 0.66/0.86  % (21466)------------------------------
% 0.66/0.86  % (21466)------------------------------
% 0.66/0.86  % (21472)Refutation found. Thanks to Tanya!
% 0.66/0.86  % SZS status Theorem for Vampire---4
% 0.66/0.86  % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.86  % (21472)------------------------------
% 0.66/0.86  % (21472)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.86  % (21472)Termination reason: Refutation
% 0.66/0.86  
% 0.66/0.86  % (21472)Memory used [KB]: 1252
% 0.66/0.86  % (21472)Time elapsed: 0.017 s
% 0.66/0.86  % (21472)Instructions burned: 28 (million)
% 0.66/0.86  % (21472)------------------------------
% 0.66/0.86  % (21472)------------------------------
% 0.66/0.86  % (21457)Success in time 0.51 s
% 0.66/0.86  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.66/0.86  21457 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.XCZyHDAjCx/Vampire---4.8_21348
% 0.66/0.86  % (21457)------------------------------
% 0.66/0.86  % (21457)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.86  % (21457)Termination reason: Unknown
% 0.66/0.86  % (21457)Termination phase: Unknown
% 0.66/0.86  
% 0.66/0.86  % (21457)Memory used [KB]: 492
% 0.66/0.86  % (21457)Time elapsed: 0.510 s
% 0.66/0.86  % (21457)Instructions burned: 956 (million)
% 0.66/0.86  % (21457)------------------------------
% 0.66/0.86  % (21457)------------------------------
% 0.66/0.86  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.86  ???
% 0.66/0.86   ???
% 0.66/0.86    ???
% 0.66/0.86     ???
% 0.66/0.86      ???
% 0.66/0.86       ???
% 0.66/0.86        ???
% 0.66/0.86         ???
% 0.66/0.86          ???
% 0.66/0.86           ???
% 0.66/0.86            ???
% 0.66/0.86             ???
% 0.66/0.86              ???
% 0.66/0.86               ???
% 0.66/0.86                ???
% 0.66/0.86                 ???
% 0.66/0.86                  ???
% 0.66/0.86                   ???
% 0.66/0.86                    ???
% 0.66/0.86                     ???
% 0.66/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------