TSTP Solution File: SWV381+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV381+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 : n022.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 10:51:36 EDT 2024

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   96 (  14 unt;   0 def)
%            Number of atoms       :  225 (  18 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  218 (  89   ~;  85   |;  15   &)
%                                         (  13 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   7 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-3 aty)
%            Number of variables   :  205 ( 196   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2885,plain,
    $false,
    inference(avatar_sat_refutation,[],[f348,f1434,f2863,f2873,f2881,f2884]) ).

fof(f2884,plain,
    ( ~ spl5_1
    | spl5_2 ),
    inference(avatar_contradiction_clause,[],[f2883]) ).

fof(f2883,plain,
    ( $false
    | ~ spl5_1
    | spl5_2 ),
    inference(subsumption_resolution,[],[f2882,f216]) ).

fof(f216,plain,
    ! [X0] : issmallestelement_pq(create_pq,X0),
    inference(resolution,[],[f170,f143]) ).

fof(f143,plain,
    ! [X0] : ~ contains_pq(create_pq,X0),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] : ~ contains_pq(create_pq,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

fof(f170,plain,
    ! [X0,X1] :
      ( contains_pq(X0,sK4(X0,X1))
      | issmallestelement_pq(X0,X1) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( issmallestelement_pq(X0,X1)
      | ( ~ less_than(X1,sK4(X0,X1))
        & contains_pq(X0,sK4(X0,X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f91,f126]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ less_than(X1,X2)
          & contains_pq(X0,X2) )
     => ( ~ less_than(X1,sK4(X0,X1))
        & contains_pq(X0,sK4(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( issmallestelement_pq(X0,X1)
      | ? [X2] :
          ( ~ less_than(X1,X2)
          & contains_pq(X0,X2) ) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( contains_pq(X0,X2)
         => less_than(X1,X2) )
     => issmallestelement_pq(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( issmallestelement_pq(X0,X1)
    <=> ! [X2] :
          ( contains_pq(X0,X2)
         => less_than(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

fof(f2882,plain,
    ( ~ issmallestelement_pq(create_pq,findmin_pqp_res(sK0))
    | ~ spl5_1
    | spl5_2 ),
    inference(forward_demodulation,[],[f2876,f159]) ).

fof(f159,plain,
    ! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,axiom,
    ! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).

fof(f2876,plain,
    ( ~ issmallestelement_pq(i(triple(sK0,create_slb,sK2)),findmin_pqp_res(sK0))
    | ~ spl5_1
    | spl5_2 ),
    inference(superposition,[],[f347,f343]) ).

fof(f343,plain,
    ( create_slb = sK1
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f341,plain,
    ( spl5_1
  <=> create_slb = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f347,plain,
    ( ~ issmallestelement_pq(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0))
    | spl5_2 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f345,plain,
    ( spl5_2
  <=> issmallestelement_pq(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f2881,plain,
    ~ spl5_1,
    inference(avatar_contradiction_clause,[],[f2880]) ).

fof(f2880,plain,
    ( $false
    | ~ spl5_1 ),
    inference(subsumption_resolution,[],[f2879,f217]) ).

fof(f217,plain,
    ! [X0] : issmallestelement_pq(X0,bottom),
    inference(resolution,[],[f171,f146]) ).

fof(f146,plain,
    ! [X0] : less_than(bottom,X0),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] : less_than(bottom,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bottom_smallest) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ~ less_than(X1,sK4(X0,X1))
      | issmallestelement_pq(X0,X1) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f2879,plain,
    ( ~ issmallestelement_pq(i(triple(sK0,create_slb,sK2)),bottom)
    | ~ spl5_1 ),
    inference(forward_demodulation,[],[f2875,f158]) ).

fof(f158,plain,
    ! [X0,X1] : bottom = findmin_cpq_res(triple(X0,create_slb,X1)),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,axiom,
    ! [X0,X1] : bottom = findmin_cpq_res(triple(X0,create_slb,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).

fof(f2875,plain,
    ( ~ issmallestelement_pq(i(triple(sK0,create_slb,sK2)),findmin_cpq_res(triple(sK0,create_slb,sK2)))
    | ~ spl5_1 ),
    inference(superposition,[],[f137,f343]) ).

fof(f137,plain,
    ~ issmallestelement_pq(i(triple(sK0,sK1,sK2)),findmin_cpq_res(triple(sK0,sK1,sK2))),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ( ~ issmallestelement_pq(i(triple(sK0,sK1,sK2)),findmin_cpq_res(triple(sK0,sK1,sK2)))
    & phi(findmin_cpq_eff(triple(sK0,sK1,sK2))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f77,f119]) ).

fof(f119,plain,
    ( ? [X0,X1,X2] :
        ( ~ issmallestelement_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
        & phi(findmin_cpq_eff(triple(X0,X1,X2))) )
   => ( ~ issmallestelement_pq(i(triple(sK0,sK1,sK2)),findmin_cpq_res(triple(sK0,sK1,sK2)))
      & phi(findmin_cpq_eff(triple(sK0,sK1,sK2))) ) ),
    introduced(choice_axiom,[]) ).

fof(f77,plain,
    ? [X0,X1,X2] :
      ( ~ issmallestelement_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
      & phi(findmin_cpq_eff(triple(X0,X1,X2))) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( phi(findmin_cpq_eff(triple(X0,X1,X2)))
       => issmallestelement_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
    inference(negated_conjecture,[],[f65]) ).

fof(f65,conjecture,
    ! [X0,X1,X2] :
      ( phi(findmin_cpq_eff(triple(X0,X1,X2)))
     => issmallestelement_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l17_co) ).

fof(f2873,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_contradiction_clause,[],[f2868]) ).

fof(f2868,plain,
    ( $false
    | spl5_1
    | spl5_2 ),
    inference(resolution,[],[f2867,f347]) ).

fof(f2867,plain,
    ( ! [X0,X1] : issmallestelement_pq(i(triple(X0,sK1,X1)),findmin_pqp_res(sK0))
    | spl5_1 ),
    inference(duplicate_literal_removal,[],[f2865]) ).

fof(f2865,plain,
    ( ! [X0,X1] :
        ( issmallestelement_pq(i(triple(X0,sK1,X1)),findmin_pqp_res(sK0))
        | issmallestelement_pq(i(triple(X0,sK1,X1)),findmin_pqp_res(sK0)) )
    | spl5_1 ),
    inference(resolution,[],[f2847,f2535]) ).

fof(f2535,plain,
    ! [X2,X3,X0,X1] :
      ( contains_slb(X1,sK4(i(triple(X0,X1,X2)),X3))
      | issmallestelement_pq(i(triple(X0,X1,X2)),X3) ),
    inference(resolution,[],[f503,f197]) ).

fof(f197,plain,
    ! [X2,X3,X0,X1] :
      ( ~ contains_cpq(triple(X0,X1,X2),X3)
      | contains_slb(X1,X3) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1,X2,X3] :
      ( ( contains_cpq(triple(X0,X1,X2),X3)
        | ~ contains_slb(X1,X3) )
      & ( contains_slb(X1,X3)
        | ~ contains_cpq(triple(X0,X1,X2),X3) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ! [X0,X1,X2,X3] :
      ( contains_cpq(triple(X0,X1,X2),X3)
    <=> contains_slb(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).

fof(f503,plain,
    ! [X2,X3,X0,X1] :
      ( contains_cpq(triple(X0,X1,X2),sK4(i(triple(X0,X1,X2)),X3))
      | issmallestelement_pq(i(triple(X0,X1,X2)),X3) ),
    inference(resolution,[],[f140,f170]) ).

fof(f140,plain,
    ! [X2,X3,X0,X1] :
      ( ~ contains_pq(i(triple(X0,X1,X2)),X3)
      | contains_cpq(triple(X0,X1,X2),X3) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3] :
      ( ( contains_cpq(triple(X0,X1,X2),X3)
        | ~ contains_pq(i(triple(X0,X1,X2)),X3) )
      & ( contains_pq(i(triple(X0,X1,X2)),X3)
        | ~ contains_cpq(triple(X0,X1,X2),X3) ) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f63,axiom,
    ! [X0,X1,X2,X3] :
      ( contains_cpq(triple(X0,X1,X2),X3)
    <=> contains_pq(i(triple(X0,X1,X2)),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l17_li56) ).

fof(f2847,plain,
    ( ! [X0] :
        ( ~ contains_slb(sK1,sK4(X0,findmin_pqp_res(sK0)))
        | issmallestelement_pq(X0,findmin_pqp_res(sK0)) )
    | spl5_1 ),
    inference(resolution,[],[f2846,f171]) ).

fof(f2846,plain,
    ( ! [X0] :
        ( less_than(findmin_pqp_res(sK0),X0)
        | ~ contains_slb(sK1,X0) )
    | spl5_1 ),
    inference(resolution,[],[f2844,f229]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(subsumption_resolution,[],[f169,f162]) ).

fof(f162,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(f169,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0)
      | ~ less_than(X0,X1) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0)
      | ~ less_than(X0,X1) ),
    inference(flattening,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0)
      | ~ less_than(X0,X1) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,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(f2844,plain,
    ( ! [X0] :
        ( ~ strictly_less_than(X0,findmin_pqp_res(sK0))
        | ~ contains_slb(sK1,X0) )
    | spl5_1 ),
    inference(resolution,[],[f2842,f198]) ).

fof(f198,plain,
    ! [X2,X3,X0,X1] :
      ( contains_cpq(triple(X0,X1,X2),X3)
      | ~ contains_slb(X1,X3) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f2842,plain,
    ( ! [X0] :
        ( ~ contains_cpq(triple(sK0,sK1,sK2),X0)
        | ~ strictly_less_than(X0,findmin_pqp_res(sK0)) )
    | spl5_1 ),
    inference(subsumption_resolution,[],[f2837,f342]) ).

fof(f342,plain,
    ( create_slb != sK1
    | spl5_1 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f2837,plain,
    ! [X0] :
      ( ~ strictly_less_than(X0,findmin_pqp_res(sK0))
      | ~ contains_cpq(triple(sK0,sK1,sK2),X0)
      | create_slb = sK1 ),
    inference(resolution,[],[f1616,f136]) ).

fof(f136,plain,
    phi(findmin_cpq_eff(triple(sK0,sK1,sK2))),
    inference(cnf_transformation,[],[f120]) ).

fof(f1616,plain,
    ! [X2,X3,X0,X1] :
      ( ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
      | ~ strictly_less_than(X3,findmin_pqp_res(X0))
      | ~ contains_cpq(triple(X0,X1,X2),X3)
      | create_slb = X1 ),
    inference(superposition,[],[f138,f186]) ).

fof(f186,plain,
    ! [X2,X0,X1] :
      ( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
      | create_slb = X1 ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1,X2] :
      ( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
      | create_slb = X1 ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( create_slb != X1
     => findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
    inference(rectify,[],[f51]) ).

fof(f51,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(f138,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
      | ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
      | ~ contains_cpq(triple(X0,X1,X2),X3) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
      | ! [X3] :
          ( ~ strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
          | ~ contains_cpq(triple(X0,X1,X2),X3) ) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,axiom,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
          & contains_cpq(triple(X0,X1,X2),X3) )
     => ~ phi(findmin_cpq_eff(triple(X0,X1,X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l17_l18) ).

fof(f2863,plain,
    ( spl5_5
    | ~ spl5_6
    | spl5_1 ),
    inference(avatar_split_clause,[],[f2855,f341,f2860,f2857]) ).

fof(f2857,plain,
    ( spl5_5
  <=> ! [X0] : less_than(findmin_pqp_res(sK0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).

fof(f2860,plain,
    ( spl5_6
  <=> contains_slb(sK1,bottom) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).

fof(f2855,plain,
    ( ! [X0] :
        ( ~ contains_slb(sK1,bottom)
        | less_than(findmin_pqp_res(sK0),X0) )
    | spl5_1 ),
    inference(resolution,[],[f2846,f231]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( ~ less_than(X0,bottom)
      | less_than(X0,X1) ),
    inference(resolution,[],[f181,f146]) ).

fof(f181,plain,
    ! [X2,X0,X1] :
      ( ~ less_than(X1,X2)
      | less_than(X0,X2)
      | ~ less_than(X0,X1) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( less_than(X0,X2)
      | ~ less_than(X1,X2)
      | ~ less_than(X0,X1) ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( less_than(X0,X2)
      | ~ less_than(X1,X2)
      | ~ less_than(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1,X2] :
      ( ( less_than(X1,X2)
        & less_than(X0,X1) )
     => less_than(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).

fof(f1434,plain,
    ( spl5_3
    | spl5_4 ),
    inference(avatar_split_clause,[],[f1424,f1432,f1429]) ).

fof(f1429,plain,
    ( spl5_3
  <=> ! [X4,X3] :
        ( ~ less_than(X3,X4)
        | ~ strictly_less_than(X4,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f1432,plain,
    ( spl5_4
  <=> ! [X2,X0,X1] : ~ check_cpq(triple(X0,X1,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

fof(f1424,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ check_cpq(triple(X0,X1,X2))
      | ~ less_than(X3,X4)
      | ~ strictly_less_than(X4,X3) ),
    inference(resolution,[],[f205,f203]) ).

fof(f203,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,[],[f117]) ).

fof(f117,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,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1,X2,X3,X4] :
      ( strictly_less_than(X3,X4)
     => ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ),
    inference(flattening,[],[f73]) ).

fof(f73,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,[],[f38]) ).

fof(f38,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(f205,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,[],[f133]) ).

fof(f133,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,[],[f118]) ).

fof(f118,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,[],[f37]) ).

fof(f37,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(f348,plain,
    ( spl5_1
    | ~ spl5_2 ),
    inference(avatar_split_clause,[],[f338,f345,f341]) ).

fof(f338,plain,
    ( ~ issmallestelement_pq(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0))
    | create_slb = sK1 ),
    inference(superposition,[],[f137,f186]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWV381+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 20:57:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (14780)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (14783)WARNING: value z3 for option sas not known
% 0.14/0.37  % (14783)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)
% 0.14/0.37  % (14782)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (14786)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)
% 0.14/0.38  % (14787)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)
% 0.14/0.38  % (14785)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)
% 0.14/0.38  % (14784)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (14781)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.40  TRYING [3]
% 0.14/0.41  TRYING [1]
% 0.14/0.42  TRYING [2]
% 0.19/0.46  TRYING [4]
% 0.19/0.47  TRYING [3]
% 0.19/0.51  % (14783)First to succeed.
% 0.19/0.51  % (14783)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14780"
% 0.19/0.51  % (14783)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (14783)------------------------------
% 0.19/0.51  % (14783)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.51  % (14783)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (14783)Memory used [KB]: 2098
% 0.19/0.51  % (14783)Time elapsed: 0.134 s
% 0.19/0.51  % (14783)Instructions burned: 297 (million)
% 0.19/0.51  % (14780)Success in time 0.15 s
%------------------------------------------------------------------------------