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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV406+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:21:10 PM UTC 2026

% Result   : Theorem 0.20s 0.27s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  112 (  10 unt;  11 def)
%            Number of atoms       :  294 (  13 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  313 ( 131   ~; 146   |;   4   &)
%                                         (  22 <=>;   9  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  12 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-3 aty)
%            Number of variables   :  152 (   0 sgn 147   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( less_than(X0,X1)
      | less_than(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',totality) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
    <=> ( less_than(X0,X1)
        & ~ less_than(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).

fof(f11,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
    <=> ( pair_in_list(X0,X2,X4)
        | ( X1 = X2
          & X3 = X4 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax23) ).

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/Axioms/SWV007+3.ax',ax37) ).

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/Axioms/SWV007+3.ax',ax38) ).

fof(f42,conjecture,
    ! [X0] :
      ( ! [X1,X2] :
          ( check_cpq(triple(X1,X0,X2))
        <=> ! [X3,X4] :
              ( pair_in_list(X0,X3,X4)
             => less_than(X4,X3) ) )
     => ! [X5,X6,X7,X8] :
          ( check_cpq(triple(X5,insert_slb(X0,pair(X7,X8)),X6))
        <=> ! [X9,X10] :
              ( pair_in_list(insert_slb(X0,pair(X7,X8)),X9,X10)
             => less_than(X10,X9) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l42_co) ).

fof(f43,negated_conjecture,
    ~ ! [X0] :
        ( ! [X1,X2] :
            ( check_cpq(triple(X1,X0,X2))
          <=> ! [X3,X4] :
                ( pair_in_list(X0,X3,X4)
               => less_than(X4,X3) ) )
       => ! [X5,X6,X7,X8] :
            ( check_cpq(triple(X5,insert_slb(X0,pair(X7,X8)),X6))
          <=> ! [X9,X10] :
                ( pair_in_list(insert_slb(X0,pair(X7,X8)),X9,X10)
               => less_than(X10,X9) ) ) ),
    inference(negated_conjecture,[status(cth)],[f42]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ( less_than(X0,X1)
        & ~ less_than(X1,X0) )
     => strictly_less_than(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | ~ less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | ~ less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(flattening,[],[f51]) ).

fof(f63,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(f64,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
      <=> $false )
      | ~ strictly_less_than(X3,X4) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f78,plain,
    ? [X0] :
      ( ? [X5,X6,X7,X8] :
          ( check_cpq(triple(X5,insert_slb(X0,pair(X7,X8)),X6))
        <~> ! [X9,X10] :
              ( less_than(X10,X9)
              | ~ pair_in_list(insert_slb(X0,pair(X7,X8)),X9,X10) ) )
      & ! [X1,X2] :
          ( check_cpq(triple(X1,X0,X2))
        <=> ! [X3,X4] :
              ( less_than(X4,X3)
              | ~ pair_in_list(X0,X3,X4) ) ) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | less_than(X0,X1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | ~ less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f91,plain,
    ! [X2,X3,X0,X1,X4] :
      ( X3 != X4
      | X1 != X2
      | pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f92,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
      | pair_in_list(X0,X2,X4)
      | X3 = X4 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f93,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
      | pair_in_list(X0,X2,X4)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f94,plain,
    ! [X2,X3,X0,X1,X4] :
      ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
      | ~ pair_in_list(X0,X2,X4) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f108,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,[],[f63]) ).

fof(f109,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,[],[f63]) ).

fof(f110,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ strictly_less_than(X3,X4)
      | ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f127,plain,
    ( pair_in_list(insert_slb(sK0,pair(sK3,sK4)),sK7,sK8)
    | ~ check_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2)) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f128,plain,
    ( ~ less_than(sK8,sK7)
    | ~ check_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2)) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f129,plain,
    ! [X10,X9] :
      ( ~ pair_in_list(insert_slb(sK0,pair(sK3,sK4)),X9,X10)
      | less_than(X10,X9)
      | check_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2)) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f130,plain,
    ! [X2,X3,X1,X4] :
      ( ~ pair_in_list(sK0,X3,X4)
      | less_than(X4,X3)
      | ~ check_cpq(triple(X1,sK0,X2)) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f131,plain,
    ! [X2,X1] :
      ( pair_in_list(sK0,sK5,sK6)
      | check_cpq(triple(X1,sK0,X2)) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f132,plain,
    ! [X2,X1] :
      ( ~ less_than(sK6,sK5)
      | check_cpq(triple(X1,sK0,X2)) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f138,plain,
    ! [X2,X0,X1,X4] :
      ( X1 != X2
      | pair_in_list(insert_slb(X0,pair(X1,X4)),X2,X4) ),
    inference(equality_resolution,[],[f91]) ).

fof(f139,plain,
    ! [X2,X0,X4] : pair_in_list(insert_slb(X0,pair(X2,X4)),X2,X4),
    inference(equality_resolution,[],[f138]) ).

fof(f141,definition,
    ( spl9_1
  <=> check_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2)) ),
    introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).

fof(f142,plain,
    ( check_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2))
    | ~ spl9_1 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f143,plain,
    ( ~ check_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2))
    | spl9_1 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f145,definition,
    ( spl9_2
  <=> pair_in_list(insert_slb(sK0,pair(sK3,sK4)),sK7,sK8) ),
    introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).

fof(f147,plain,
    ( pair_in_list(insert_slb(sK0,pair(sK3,sK4)),sK7,sK8)
    | ~ spl9_2 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f148,plain,
    ( ~ spl9_1
    | spl9_2 ),
    inference(avatar_split_clause,[],[f127,f145,f141]) ).

fof(f150,definition,
    ( spl9_3
  <=> less_than(sK8,sK7) ),
    introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition]) ).

fof(f152,plain,
    ( ~ less_than(sK8,sK7)
    | spl9_3 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f153,plain,
    ( ~ spl9_1
    | ~ spl9_3 ),
    inference(avatar_split_clause,[],[f128,f150,f141]) ).

fof(f155,definition,
    ( spl9_4
  <=> ! [X9,X10] :
        ( ~ pair_in_list(insert_slb(sK0,pair(sK3,sK4)),X9,X10)
        | less_than(X10,X9) ) ),
    introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition]) ).

fof(f156,plain,
    ( ! [X10,X9] :
        ( ~ pair_in_list(insert_slb(sK0,pair(sK3,sK4)),X9,X10)
        | less_than(X10,X9) )
    | ~ spl9_4 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f157,plain,
    ( spl9_1
    | spl9_4 ),
    inference(avatar_split_clause,[],[f129,f155,f141]) ).

fof(f159,definition,
    ( spl9_5
  <=> ! [X2,X1] : ~ check_cpq(triple(X1,sK0,X2)) ),
    introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).

fof(f160,plain,
    ( ! [X2,X1] : ~ check_cpq(triple(X1,sK0,X2))
    | ~ spl9_5 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f162,definition,
    ( spl9_6
  <=> ! [X4,X3] :
        ( ~ pair_in_list(sK0,X3,X4)
        | less_than(X4,X3) ) ),
    introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition]) ).

fof(f163,plain,
    ( ! [X3,X4] :
        ( ~ pair_in_list(sK0,X3,X4)
        | less_than(X4,X3) )
    | ~ spl9_6 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f164,plain,
    ( spl9_5
    | spl9_6 ),
    inference(avatar_split_clause,[],[f130,f162,f159]) ).

fof(f166,definition,
    ( spl9_7
  <=> ! [X2,X1] : check_cpq(triple(X1,sK0,X2)) ),
    introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition]) ).

fof(f167,plain,
    ( ! [X2,X1] : check_cpq(triple(X1,sK0,X2))
    | ~ spl9_7 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f169,definition,
    ( spl9_8
  <=> pair_in_list(sK0,sK5,sK6) ),
    introduced(definition,[new_symbols(definition,[spl9_8])],[avatar_definition]) ).

fof(f171,plain,
    ( pair_in_list(sK0,sK5,sK6)
    | ~ spl9_8 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f172,plain,
    ( spl9_7
    | spl9_8 ),
    inference(avatar_split_clause,[],[f131,f169,f166]) ).

fof(f174,definition,
    ( spl9_9
  <=> less_than(sK6,sK5) ),
    introduced(definition,[new_symbols(definition,[spl9_9])],[avatar_definition]) ).

fof(f176,plain,
    ( ~ less_than(sK6,sK5)
    | spl9_9 ),
    inference(avatar_component_clause,[],[f174]) ).

fof(f177,plain,
    ( spl9_7
    | ~ spl9_9 ),
    inference(avatar_split_clause,[],[f132,f174,f166]) ).

fof(f182,plain,
    ( less_than(sK4,sK3)
    | ~ spl9_4 ),
    inference(resolution,[],[f139,f156]) ).

fof(f352,plain,
    ( ! [X0,X1] :
        ( ~ pair_in_list(sK0,X0,X1)
        | less_than(X1,X0) )
    | ~ spl9_4 ),
    inference(resolution,[],[f94,f156]) ).

fof(f389,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ check_cpq(triple(X0,insert_slb(X1,pair(X2,X3)),X4))
      | ~ less_than(X2,X3)
      | less_than(X3,X2) ),
    inference(resolution,[],[f110,f82]) ).

fof(f390,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ check_cpq(triple(X0,insert_slb(X1,pair(X2,X3)),X4))
      | less_than(X3,X2) ),
    inference(forward_subsumption_resolution,[],[f389,f80]) ).

fof(f494,plain,
    ( pair_in_list(sK0,sK7,sK8)
    | sK4 = sK8
    | ~ spl9_2 ),
    inference(resolution,[],[f92,f147]) ).

fof(f496,definition,
    ( spl9_14
  <=> sK4 = sK8 ),
    introduced(definition,[new_symbols(definition,[spl9_14])],[avatar_definition]) ).

fof(f498,plain,
    ( sK4 = sK8
    | ~ spl9_14 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f500,definition,
    ( spl9_15
  <=> pair_in_list(sK0,sK7,sK8) ),
    introduced(definition,[new_symbols(definition,[spl9_15])],[avatar_definition]) ).

fof(f501,plain,
    ( ~ pair_in_list(sK0,sK7,sK8)
    | spl9_15 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f502,plain,
    ( pair_in_list(sK0,sK7,sK8)
    | ~ spl9_15 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f536,plain,
    ( ~ check_cpq(triple(sK1,sK0,sK2))
    | ~ less_than(sK4,sK3)
    | spl9_1 ),
    inference(resolution,[],[f108,f143]) ).

fof(f537,plain,
    ( ~ less_than(sK4,sK3)
    | spl9_1
    | ~ spl9_7 ),
    inference(forward_subsumption_resolution,[],[f536,f167]) ).

fof(f538,plain,
    ( $false
    | spl9_1
    | ~ spl9_4
    | ~ spl9_7 ),
    inference(forward_subsumption_resolution,[],[f537,f182]) ).

fof(f539,plain,
    ( spl9_1
    | ~ spl9_4
    | ~ spl9_7 ),
    inference(avatar_contradiction_clause,[],[f538]) ).

fof(f540,plain,
    ( spl9_14
    | spl9_15
    | ~ spl9_2 ),
    inference(avatar_split_clause,[],[f494,f145,f500,f496]) ).

fof(f541,plain,
    ( less_than(sK8,sK7)
    | ~ spl9_6
    | ~ spl9_15 ),
    inference(resolution,[],[f502,f163]) ).

fof(f542,plain,
    ( $false
    | spl9_3
    | ~ spl9_6
    | ~ spl9_15 ),
    inference(forward_subsumption_resolution,[],[f541,f152]) ).

fof(f543,plain,
    ( spl9_3
    | ~ spl9_6
    | ~ spl9_15 ),
    inference(avatar_contradiction_clause,[],[f542]) ).

fof(f544,plain,
    ( ~ pair_in_list(sK0,sK7,sK4)
    | ~ spl9_14
    | spl9_15 ),
    inference(forward_demodulation,[],[f501,f498]) ).

fof(f546,plain,
    ( pair_in_list(sK0,sK7,sK8)
    | sK3 = sK7
    | ~ spl9_2 ),
    inference(resolution,[],[f147,f93]) ).

fof(f548,plain,
    ( pair_in_list(sK0,sK7,sK4)
    | sK3 = sK7
    | ~ spl9_2
    | ~ spl9_14 ),
    inference(forward_demodulation,[],[f546,f498]) ).

fof(f551,plain,
    ( sK3 = sK7
    | ~ spl9_2
    | ~ spl9_14
    | spl9_15 ),
    inference(forward_subsumption_resolution,[],[f548,f544]) ).

fof(f560,plain,
    ( less_than(sK6,sK5)
    | ~ spl9_6
    | ~ spl9_8 ),
    inference(resolution,[],[f171,f163]) ).

fof(f561,plain,
    ( $false
    | ~ spl9_6
    | ~ spl9_8
    | spl9_9 ),
    inference(forward_subsumption_resolution,[],[f560,f176]) ).

fof(f562,plain,
    ( ~ spl9_6
    | ~ spl9_8
    | spl9_9 ),
    inference(avatar_contradiction_clause,[],[f561]) ).

fof(f563,plain,
    ( spl9_6
    | ~ spl9_4 ),
    inference(avatar_split_clause,[],[f352,f155,f162]) ).

fof(f564,plain,
    ( ~ less_than(sK8,sK3)
    | ~ spl9_2
    | spl9_3
    | ~ spl9_14
    | spl9_15 ),
    inference(forward_demodulation,[],[f152,f551]) ).

fof(f566,plain,
    ( ~ less_than(sK4,sK3)
    | ~ spl9_2
    | spl9_3
    | ~ spl9_14
    | spl9_15 ),
    inference(forward_demodulation,[],[f564,f498]) ).

fof(f589,plain,
    ( check_cpq(triple(sK1,sK0,sK2))
    | ~ less_than(sK4,sK3)
    | ~ spl9_1 ),
    inference(resolution,[],[f109,f142]) ).

fof(f591,plain,
    ( ~ less_than(sK4,sK3)
    | ~ spl9_1
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f589,f160]) ).

fof(f901,plain,
    ( less_than(sK4,sK3)
    | ~ spl9_1 ),
    inference(resolution,[],[f390,f142]) ).

fof(f903,plain,
    ( $false
    | ~ spl9_1
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f901,f591]) ).

fof(f904,plain,
    ( ~ spl9_1
    | ~ spl9_5 ),
    inference(avatar_contradiction_clause,[],[f903]) ).

fof(f909,plain,
    ( $false
    | ~ spl9_1
    | ~ spl9_2
    | spl9_3
    | ~ spl9_14
    | spl9_15 ),
    inference(forward_subsumption_resolution,[],[f901,f566]) ).

fof(f910,plain,
    ( ~ spl9_1
    | ~ spl9_2
    | spl9_3
    | ~ spl9_14
    | spl9_15 ),
    inference(avatar_contradiction_clause,[],[f909]) ).

cnf(s1,plain,
    ( ~ spl9_1
    | spl9_2 ),
    inference(sat_conversion,[],[f148]) ).

cnf(s2,plain,
    ( ~ spl9_1
    | ~ spl9_3 ),
    inference(sat_conversion,[],[f153]) ).

cnf(s3,plain,
    ( spl9_1
    | spl9_4 ),
    inference(sat_conversion,[],[f157]) ).

cnf(s4,plain,
    ( spl9_5
    | spl9_6 ),
    inference(sat_conversion,[],[f164]) ).

cnf(s5,plain,
    ( spl9_7
    | spl9_8 ),
    inference(sat_conversion,[],[f172]) ).

cnf(s6,plain,
    ( spl9_7
    | ~ spl9_9 ),
    inference(sat_conversion,[],[f177]) ).

cnf(s15,plain,
    ( spl9_1
    | ~ spl9_4
    | ~ spl9_7 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s16,plain,
    ( ~ spl9_2
    | spl9_14
    | spl9_15 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s17,plain,
    ( spl9_3
    | ~ spl9_6
    | ~ spl9_15 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s19,plain,
    ( ~ spl9_6
    | ~ spl9_8
    | spl9_9 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s20,plain,
    ( ~ spl9_4
    | spl9_6 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s30,plain,
    ( ~ spl9_1
    | ~ spl9_5 ),
    inference(sat_conversion,[],[f904]) ).

cnf(s33,plain,
    ( ~ spl9_1
    | ~ spl9_2
    | spl9_3
    | ~ spl9_14
    | spl9_15 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s35,plain,
    spl9_1,
    inference(rat,[],[s19,s5,s6,s15,s20,s3]) ).

cnf(s36,plain,
    ~ spl9_5,
    inference(rat,[],[s30,s35]) ).

cnf(s37,plain,
    ~ spl9_3,
    inference(rat,[],[s2,s35]) ).

cnf(s38,plain,
    spl9_2,
    inference(rat,[],[s1,s35]) ).

cnf(s39,plain,
    spl9_6,
    inference(rat,[],[s4,s36]) ).

cnf(s40,plain,
    ~ spl9_15,
    inference(rat,[],[s17,s39,s37]) ).

cnf(s41,plain,
    ~ spl9_14,
    inference(rat,[],[s33,s40,s37,s35,s38]) ).

cnf(s42,plain,
    $false,
    inference(rat,[],[s16,s41,s40,s38]) ).

fof(f913,plain,
    $false,
    inference(avatar_sat_refutation,[],[s42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV406+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n009.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 10:50:45 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.27  % (2951635)Will run a generic schedule for satisfiability detection.
% 0.20/0.27  % (2951644)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3359774377:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27  % (2951641)% WARNING: option uhcvi not known.
% 0.20/0.27  % (2951640)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1519606928_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27  % (2951641)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=709427262:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27  % (2951642)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1975000169:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27  % (2951643)dis+10_1_sil=32000:sp=arity:random_seed=674859168:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27  % (2951645)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1278691052:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27  % (2951646)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=491093994:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27  % (2951644) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2951635-2951644"...
% 0.20/0.27  % (2951644)...printing done.
% 0.20/0.27  % TRYING [1]
% 0.20/0.27  % (2951644)Refutation found. Thanks to Tanya!
% 0.20/0.27  % SZS status Theorem for theBenchmark
% 0.20/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27  % (2951644)------------------------------
% 0.20/0.27  % (2951644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27  % (2951644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27  % (2951644)CaDiCaL version: 2.1.3
% 0.20/0.27  % (2951644)Termination reason: Refutation
% 0.20/0.27  % (2951644)Time elapsed: 0.014 s
% 0.20/0.27  % (2951644)Peak memory usage: 12 MB
% 0.20/0.27  % (2951644)Instructions burned: 37 (million)
% 0.20/0.27  % (2951635)Success in time 0.045 s
% 0.20/0.27  % Vampire exiting
%------------------------------------------------------------------------------