TSTP Solution File: SWV374+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV374+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n019.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 10:51:35 EDT 2024

% Result   : Theorem 1.52s 0.58s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   85 (   8 unt;   0 def)
%            Number of atoms       :  228 (  61 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  221 (  78   ~;  98   |;  18   &)
%                                         (  12 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   14 (  12 usr;   8 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   5 con; 0-3 aty)
%            Number of variables   :  180 ( 174   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2494,plain,
    $false,
    inference(avatar_sat_refutation,[],[f192,f642,f948,f964,f2382,f2493]) ).

fof(f2493,plain,
    ( spl3_1
    | spl3_3 ),
    inference(avatar_contradiction_clause,[],[f2491]) ).

fof(f2491,plain,
    ( $false
    | spl3_1
    | spl3_3 ),
    inference(resolution,[],[f2460,f91]) ).

fof(f91,plain,
    ok(findmin_cpq_eff(triple(sK0,sK1,sK2))),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ( ( ~ less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0))
      | ~ contains_slb(sK1,findmin_pqp_res(sK0))
      | create_slb = sK1 )
    & ok(findmin_cpq_eff(triple(sK0,sK1,sK2))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f53,f83]) ).

fof(f83,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 )
        & ok(findmin_cpq_eff(triple(X0,X1,X2))) )
   => ( ( ~ less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0))
        | ~ contains_slb(sK1,findmin_pqp_res(sK0))
        | create_slb = sK1 )
      & ok(findmin_cpq_eff(triple(sK0,sK1,sK2))) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,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 )
      & ok(findmin_cpq_eff(triple(X0,X1,X2))) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ok(findmin_cpq_eff(triple(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 ) ),
    inference(negated_conjecture,[],[f42]) ).

fof(f42,conjecture,
    ! [X0,X1,X2] :
      ( ok(findmin_cpq_eff(triple(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 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l10_co) ).

fof(f2460,plain,
    ( ! [X0] : ~ ok(findmin_cpq_eff(triple(sK0,sK1,X0)))
    | spl3_1
    | spl3_3 ),
    inference(superposition,[],[f109,f2452]) ).

fof(f2452,plain,
    ( ! [X0] : findmin_cpq_eff(triple(sK0,sK1,X0)) = triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad)
    | spl3_1
    | spl3_3 ),
    inference(subsumption_resolution,[],[f2417,f182]) ).

fof(f182,plain,
    ( create_slb != sK1
    | spl3_1 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f181,plain,
    ( spl3_1
  <=> create_slb = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f2417,plain,
    ( ! [X0] :
        ( create_slb = sK1
        | findmin_cpq_eff(triple(sK0,sK1,X0)) = triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad) )
    | spl3_3 ),
    inference(resolution,[],[f1200,f191]) ).

fof(f191,plain,
    ( ~ less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0))
    | spl3_3 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f189,plain,
    ( spl3_3
  <=> less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f1200,plain,
    ! [X2,X0,X1] :
      ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),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(resolution,[],[f1196,f148]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(subsumption_resolution,[],[f108,f105]) ).

fof(f105,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/benchmark/theBenchmark.p',totality) ).

fof(f108,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0)
      | ~ less_than(X0,X1) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0)
      | ~ less_than(X0,X1) ),
    inference(flattening,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0)
      | ~ less_than(X0,X1) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( ~ less_than(X1,X0)
        & less_than(X0,X1) )
     => strictly_less_than(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
    <=> ( ~ less_than(X1,X0)
        & less_than(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',stricly_smaller_definition) ).

fof(f1196,plain,
    ! [X2,X0,X1] :
      ( ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | create_slb = X1 ),
    inference(subsumption_resolution,[],[f125,f124]) ).

fof(f124,plain,
    ! [X2,X0,X1] :
      ( contains_slb(X1,findmin_pqp_res(X0))
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | 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,[],[f47]) ).

fof(f47,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/benchmark/theBenchmark.p',ax47) ).

fof(f125,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,[],[f74]) ).

fof(f74,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,[],[f73]) ).

fof(f73,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,[],[f48]) ).

fof(f48,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/benchmark/theBenchmark.p',ax48) ).

fof(f109,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(true_and_false_elimination,[],[f28]) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( ok(triple(X0,X1,bad))
    <=> $false ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).

fof(f2382,plain,
    ( spl3_6
    | spl3_7
    | ~ spl3_2
    | spl3_3 ),
    inference(avatar_split_clause,[],[f2249,f189,f185,f2380,f2376]) ).

fof(f2376,plain,
    ( spl3_6
  <=> create_slb = remove_slb(sK1,findmin_pqp_res(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f2380,plain,
    ( spl3_7
  <=> ! [X0,X1] : findmin_pqp_res(remove_pqp(X0,findmin_pqp_res(sK0))) = findmin_cpq_res(remove_cpq(triple(X0,sK1,X1),findmin_pqp_res(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f185,plain,
    ( spl3_2
  <=> contains_slb(sK1,findmin_pqp_res(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f2249,plain,
    ( ! [X0,X1] :
        ( findmin_pqp_res(remove_pqp(X0,findmin_pqp_res(sK0))) = findmin_cpq_res(remove_cpq(triple(X0,sK1,X1),findmin_pqp_res(sK0)))
        | create_slb = remove_slb(sK1,findmin_pqp_res(sK0)) )
    | ~ spl3_2
    | spl3_3 ),
    inference(superposition,[],[f118,f2231]) ).

fof(f2231,plain,
    ( ! [X0,X1] : remove_cpq(triple(X0,sK1,X1),findmin_pqp_res(sK0)) = triple(remove_pqp(X0,findmin_pqp_res(sK0)),remove_slb(sK1,findmin_pqp_res(sK0)),bad)
    | ~ spl3_2
    | spl3_3 ),
    inference(subsumption_resolution,[],[f2194,f186]) ).

fof(f186,plain,
    ( contains_slb(sK1,findmin_pqp_res(sK0))
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f2194,plain,
    ( ! [X0,X1] :
        ( ~ contains_slb(sK1,findmin_pqp_res(sK0))
        | remove_cpq(triple(X0,sK1,X1),findmin_pqp_res(sK0)) = triple(remove_pqp(X0,findmin_pqp_res(sK0)),remove_slb(sK1,findmin_pqp_res(sK0)),bad) )
    | spl3_3 ),
    inference(resolution,[],[f1125,f191]) ).

fof(f1125,plain,
    ! [X2,X3,X0,X1] :
      ( less_than(lookup_slb(X1,X3),X3)
      | ~ contains_slb(X1,X3)
      | remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad) ),
    inference(resolution,[],[f127,f148]) ).

fof(f127,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictly_less_than(X3,lookup_slb(X1,X3))
      | remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
      | ~ contains_slb(X1,X3) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1,X2,X3] :
      ( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
      | ~ strictly_less_than(X3,lookup_slb(X1,X3))
      | ~ contains_slb(X1,X3) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1,X2,X3] :
      ( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
      | ~ strictly_less_than(X3,lookup_slb(X1,X3))
      | ~ contains_slb(X1,X3) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,axiom,
    ! [X0,X1,X2,X3] :
      ( ( strictly_less_than(X3,lookup_slb(X1,X3))
        & contains_slb(X1,X3) )
     => remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).

fof(f118,plain,
    ! [X2,X0,X1] :
      ( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
      | create_slb = X1 ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
      | create_slb = X1 ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( create_slb != X1
     => findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X0,X1,X2,X3] :
      ( create_slb != X1
     => findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).

fof(f964,plain,
    ~ spl3_1,
    inference(avatar_contradiction_clause,[],[f963]) ).

fof(f963,plain,
    ( $false
    | ~ spl3_1 ),
    inference(subsumption_resolution,[],[f962,f109]) ).

fof(f962,plain,
    ( ok(triple(sK0,create_slb,bad))
    | ~ spl3_1 ),
    inference(forward_demodulation,[],[f949,f104]) ).

fof(f104,plain,
    ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).

fof(f949,plain,
    ( ok(findmin_cpq_eff(triple(sK0,create_slb,sK2)))
    | ~ spl3_1 ),
    inference(superposition,[],[f91,f183]) ).

fof(f183,plain,
    ( create_slb = sK1
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f948,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_contradiction_clause,[],[f946]) ).

fof(f946,plain,
    ( $false
    | spl3_1
    | spl3_2 ),
    inference(resolution,[],[f930,f91]) ).

fof(f930,plain,
    ( ! [X0] : ~ ok(findmin_cpq_eff(triple(sK0,sK1,X0)))
    | spl3_1
    | spl3_2 ),
    inference(superposition,[],[f109,f921]) ).

fof(f921,plain,
    ( ! [X0] : findmin_cpq_eff(triple(sK0,sK1,X0)) = triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad)
    | spl3_1
    | spl3_2 ),
    inference(subsumption_resolution,[],[f920,f182]) ).

fof(f920,plain,
    ( ! [X0] :
        ( findmin_cpq_eff(triple(sK0,sK1,X0)) = triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad)
        | create_slb = sK1 )
    | spl3_2 ),
    inference(resolution,[],[f124,f187]) ).

fof(f187,plain,
    ( ~ contains_slb(sK1,findmin_pqp_res(sK0))
    | spl3_2 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f642,plain,
    ( spl3_4
    | spl3_5 ),
    inference(avatar_split_clause,[],[f632,f640,f637]) ).

fof(f637,plain,
    ( spl3_4
  <=> ! [X4,X3] :
        ( ~ less_than(X3,X4)
        | ~ strictly_less_than(X4,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f640,plain,
    ( spl3_5
  <=> ! [X2,X0,X1] : ~ check_cpq(triple(X0,X1,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f632,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ check_cpq(triple(X0,X1,X2))
      | ~ less_than(X3,X4)
      | ~ strictly_less_than(X4,X3) ),
    inference(resolution,[],[f136,f134]) ).

fof(f134,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
      | ~ strictly_less_than(X3,X4) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
      | ~ strictly_less_than(X3,X4) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2,X3,X4] :
      ( strictly_less_than(X3,X4)
     => ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2,X3,X4] :
      ( strictly_less_than(X3,X4)
     => ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ),
    inference(true_and_false_elimination,[],[f26]) ).

fof(f26,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( strictly_less_than(X3,X4)
     => ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
      <=> $false ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).

fof(f136,plain,
    ! [X2,X3,X0,X1,X4] :
      ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
      | ~ check_cpq(triple(X0,X1,X2))
      | ~ less_than(X4,X3) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
          | ~ check_cpq(triple(X0,X1,X2)) )
        & ( check_cpq(triple(X0,X1,X2))
          | ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ) )
      | ~ less_than(X4,X3) ),
    inference(nnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
      <=> check_cpq(triple(X0,X1,X2)) )
      | ~ less_than(X4,X3) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( less_than(X4,X3)
     => ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
      <=> check_cpq(triple(X0,X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).

fof(f192,plain,
    ( spl3_1
    | ~ spl3_2
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f92,f189,f185,f181]) ).

fof(f92,plain,
    ( ~ less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0))
    | ~ contains_slb(sK1,findmin_pqp_res(sK0))
    | create_slb = sK1 ),
    inference(cnf_transformation,[],[f84]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWV374+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 21:11:23 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (821)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37  % (824)WARNING: value z3 for option sas not known
% 0.22/0.37  % (825)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.37  % (822)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.37  % (824)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.37  % (823)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.37  % (826)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.37  % (828)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.37  % (827)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.38  TRYING [1]
% 0.22/0.38  TRYING [2]
% 0.22/0.40  TRYING [3]
% 0.22/0.40  TRYING [1]
% 0.22/0.40  TRYING [2]
% 0.22/0.45  TRYING [4]
% 0.22/0.45  TRYING [3]
% 0.22/0.47  TRYING [1]
% 0.22/0.47  TRYING [2]
% 0.22/0.48  TRYING [3]
% 0.22/0.51  TRYING [4]
% 1.52/0.56  TRYING [5]
% 1.52/0.58  % (824)First to succeed.
% 1.52/0.58  % (824)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-821"
% 1.52/0.58  % (824)Refutation found. Thanks to Tanya!
% 1.52/0.58  % SZS status Theorem for theBenchmark
% 1.52/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.58  % (824)------------------------------
% 1.52/0.58  % (824)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.52/0.58  % (824)Termination reason: Refutation
% 1.52/0.58  
% 1.52/0.58  % (824)Memory used [KB]: 2337
% 1.52/0.58  % (824)Time elapsed: 0.206 s
% 1.52/0.58  % (824)Instructions burned: 604 (million)
% 1.52/0.58  % (821)Success in time 0.212 s
%------------------------------------------------------------------------------