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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWX072_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n012.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 01:46:26 PM UTC 2026

% Result   : Theorem 0.08s 0.15s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  102 (  13 unt;   0 typ;   9 def)
%            Number of atoms       :  318 (  93 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  364 ( 148   ~; 147   |;  45   &)
%                                         (  14 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   97 (   8 atm;   0 fun;  74 num;  15 var)
%            Number of types       :    4 (   2 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   22 (  17 usr;  11 prp; 0-2 aty)
%            Number of functors    :   10 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :  103 (   0 sgn  85   !;  18   ?; 103   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    general: $tType ).

tff(type_def_6,type,
    symbol: $tType ).

tff(func_def_0,type,
    f__integer__: $int > general ).

tff(func_def_1,type,
    f__symbolic__: symbol > general ).

tff(func_def_2,type,
    c__infimum__: general ).

tff(func_def_3,type,
    c__supremum__: general ).

tff(func_def_11,type,
    sK0: general > $int ).

tff(func_def_12,type,
    sK1: general > symbol ).

tff(func_def_13,type,
    sK2: general ).

tff(pred_def_1,type,
    p__is_integer__: general > $o ).

tff(pred_def_2,type,
    p__is_symbolic__: general > $o ).

tff(pred_def_3,type,
    p__less_equal__: ( general * general ) > $o ).

tff(pred_def_4,type,
    p__less__: ( general * general ) > $o ).

tff(pred_def_5,type,
    p__greater_equal__: ( general * general ) > $o ).

tff(pred_def_6,type,
    p__greater__: ( general * general ) > $o ).

tff(pred_def_8,type,
    hp: general > $o ).

tff(pred_def_9,type,
    tp: general > $o ).

tff(f4,axiom,
    ! [X0: $int,X1: $int] :
      ( ( f__integer__(X0) = f__integer__(X1) )
    <=> ( X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV014_0.ax',f__integer__def_ax) ).

tff(f6,axiom,
    ! [X0: $int,X1: $int] :
      ( p__less_equal__(f__integer__(X0),f__integer__(X1))
    <=> $lesseq(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV014_0.ax',numeral_ordering_ax) ).

tff(f10,axiom,
    ! [X0: general,X1: general] :
      ( p__less__(X0,X1)
    <=> ( p__less_equal__(X0,X1)
        & ( X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV014_0.ax',p__less__def_ax) ).

tff(f12,axiom,
    ! [X0: general,X1: general] :
      ( p__greater__(X0,X1)
    <=> ( p__less_equal__(X1,X0)
        & ( X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV014_0.ax',p__greater__def_ax) ).

tff(f16,axiom,
    ! [X0: general] :
      ( hp(X0)
     => tp(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_0_transition_axiom_0) ).

tff(f17,axiom,
    ! [X0: general,X1: general] :
      ( ( ( ( X0 = X1 )
          & ? [X2: general,X3: general] :
              ( ( X2 = X1 )
              & ( X3 = f__integer__(3) )
              & p__greater__(X2,X3) )
          & ? [X2: general,X3: general] :
              ( ( X2 = X1 )
              & ( X3 = f__integer__(5) )
              & p__less__(X2,X3) ) )
       => hp(X0) )
      & ( ( ( X0 = X1 )
          & ? [X2: general,X3: general] :
              ( ( X2 = X1 )
              & ( X3 = f__integer__(3) )
              & p__greater__(X2,X3) )
          & ? [X2: general,X3: general] :
              ( ( X2 = X1 )
              & ( X3 = f__integer__(5) )
              & p__less__(X2,X3) ) )
       => tp(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_1_left_0) ).

tff(f18,conjecture,
    ! [X0: general] :
      ( ( ( ( X0 = f__integer__(4) )
          & $true )
       => hp(X0) )
      & ( ( ( X0 = f__integer__(4) )
          & $true )
       => tp(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2_right_0) ).

tff(f19,negated_conjecture,
    ~ ! [X0: general] :
        ( ( ( ( X0 = f__integer__(4) )
            & $true )
         => hp(X0) )
        & ( ( ( X0 = f__integer__(4) )
            & $true )
         => tp(X0) ) ),
    inference(negated_conjecture,[status(cth)],[f18]) ).

tff(f20,plain,
    ! [X0: $int,X1: $int] :
      ( p__less_equal__(f__integer__(X0),f__integer__(X1))
    <=> ~ $less(X1,X0) ),
    inference(theory_normalization,[],[f6]) ).

tff(f33,plain,
    ! [X0: general,X1: general] :
      ( ( ( ( X0 = X1 )
          & ? [X2: general,X3: general] :
              ( ( X2 = X1 )
              & ( X3 = f__integer__(3) )
              & p__greater__(X2,X3) )
          & ? [X4: general,X5: general] :
              ( ( X1 = X4 )
              & ( f__integer__(5) = X5 )
              & p__less__(X4,X5) ) )
       => hp(X0) )
      & ( ( ( X0 = X1 )
          & ? [X6: general,X7: general] :
              ( ( X1 = X6 )
              & ( f__integer__(3) = X7 )
              & p__greater__(X6,X7) )
          & ? [X8: general,X9: general] :
              ( ( X1 = X8 )
              & ( f__integer__(5) = X9 )
              & p__less__(X8,X9) ) )
       => tp(X0) ) ),
    inference(rectify,[],[f17]) ).

tff(f34,plain,
    ! [X0: general,X1: general] :
      ( ( p__less_equal__(X1,X0)
        & ( X0 != X1 ) )
     => p__greater__(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f12]) ).

tff(f43,plain,
    ! [X0: general,X1: general] :
      ( p__greater__(X0,X1)
      | ~ p__less_equal__(X1,X0)
      | ( X0 = X1 ) ),
    inference(ennf_transformation,[],[f34]) ).

tff(f44,plain,
    ! [X0: general,X1: general] :
      ( p__greater__(X0,X1)
      | ~ p__less_equal__(X1,X0)
      | ( X0 = X1 ) ),
    inference(flattening,[],[f43]) ).

tff(f45,plain,
    ! [X0: general] :
      ( tp(X0)
      | ~ hp(X0) ),
    inference(ennf_transformation,[],[f16]) ).

tff(f46,plain,
    ! [X0: general,X1: general] :
      ( ( hp(X0)
        | ( X0 != X1 )
        | ! [X2: general,X3: general] :
            ( ( X1 != X2 )
            | ( f__integer__(3) != X3 )
            | ~ p__greater__(X2,X3) )
        | ! [X4: general,X5: general] :
            ( ( X1 != X4 )
            | ( f__integer__(5) != X5 )
            | ~ p__less__(X4,X5) ) )
      & ( tp(X0)
        | ( X0 != X1 )
        | ! [X6: general,X7: general] :
            ( ( X1 != X6 )
            | ( f__integer__(3) != X7 )
            | ~ p__greater__(X6,X7) )
        | ! [X8: general,X9: general] :
            ( ( X1 != X8 )
            | ( f__integer__(5) != X9 )
            | ~ p__less__(X8,X9) ) ) ),
    inference(ennf_transformation,[],[f33]) ).

tff(f47,plain,
    ! [X0: general,X1: general] :
      ( ( hp(X0)
        | ( X0 != X1 )
        | ! [X2: general,X3: general] :
            ( ( X1 != X2 )
            | ( f__integer__(3) != X3 )
            | ~ p__greater__(X2,X3) )
        | ! [X4: general,X5: general] :
            ( ( X1 != X4 )
            | ( f__integer__(5) != X5 )
            | ~ p__less__(X4,X5) ) )
      & ( tp(X0)
        | ( X0 != X1 )
        | ! [X6: general,X7: general] :
            ( ( X1 != X6 )
            | ( f__integer__(3) != X7 )
            | ~ p__greater__(X6,X7) )
        | ! [X8: general,X9: general] :
            ( ( X1 != X8 )
            | ( f__integer__(5) != X9 )
            | ~ p__less__(X8,X9) ) ) ),
    inference(flattening,[],[f46]) ).

tff(f48,plain,
    ? [X0: general] :
      ( ( ~ hp(X0)
        & ( X0 = f__integer__(4) )
        & $true )
      | ( ~ tp(X0)
        & ( X0 = f__integer__(4) )
        & $true ) ),
    inference(ennf_transformation,[],[f19]) ).

tff(f49,plain,
    ? [X0: general] :
      ( ( ~ hp(X0)
        & ( X0 = f__integer__(4) )
        & $true )
      | ( ~ tp(X0)
        & ( X0 = f__integer__(4) )
        & $true ) ),
    inference(flattening,[],[f48]) ).

tff(f54,plain,
    ! [X0: $int,X1: $int] :
      ( ( f__integer__(X1) != f__integer__(X0) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f57,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | p__less_equal__(f__integer__(X0),f__integer__(X1)) ),
    inference(cnf_transformation,[],[f20]) ).

tff(f64,plain,
    ! [X0: general,X1: general] :
      ( ( X0 = X1 )
      | ~ p__less_equal__(X0,X1)
      | p__less__(X0,X1) ),
    inference(cnf_transformation,[],[f10]) ).

tff(f65,plain,
    ! [X0: general,X1: general] :
      ( ( X0 = X1 )
      | ~ p__less_equal__(X1,X0)
      | p__greater__(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

tff(f69,plain,
    ! [X0: general] :
      ( ~ hp(X0)
      | tp(X0) ),
    inference(cnf_transformation,[],[f45]) ).

tff(f70,plain,
    ! [X2: general,X3: general,X0: general,X1: general,X4: general,X5: general] :
      ( ~ p__less__(X4,X5)
      | ( f__integer__(5) != X5 )
      | ( X1 != X4 )
      | ~ p__greater__(X2,X3)
      | ( f__integer__(3) != X3 )
      | ( X1 != X2 )
      | ( X0 != X1 )
      | hp(X0) ),
    inference(cnf_transformation,[],[f47]) ).

tff(f73,plain,
    ( ~ tp(sK2)
    | ~ hp(sK2) ),
    inference(cnf_transformation,[],[f49]) ).

tff(f74,plain,
    f__integer__(4) = sK2,
    inference(cnf_transformation,[],[f49]) ).

tff(f84,plain,
    ! [X2: general,X3: general,X0: general,X1: general,X4: general] :
      ( ~ p__less__(X4,f__integer__(5))
      | ( X1 != X4 )
      | ~ p__greater__(X2,X3)
      | ( f__integer__(3) != X3 )
      | ( X1 != X2 )
      | ( X0 != X1 )
      | hp(X0) ),
    inference(equality_resolution,[],[f70]) ).

tff(f85,plain,
    ! [X2: general,X3: general,X0: general,X4: general] :
      ( ~ p__less__(X4,f__integer__(5))
      | ~ p__greater__(X2,X3)
      | ( f__integer__(3) != X3 )
      | ( X2 != X4 )
      | ( X0 != X4 )
      | hp(X0) ),
    inference(equality_resolution,[],[f84]) ).

tff(f86,plain,
    ! [X2: general,X0: general,X4: general] :
      ( ~ p__less__(X4,f__integer__(5))
      | ~ p__greater__(X2,f__integer__(3))
      | ( X2 != X4 )
      | ( X0 != X4 )
      | hp(X0) ),
    inference(equality_resolution,[],[f85]) ).

tff(f87,plain,
    ! [X0: general,X4: general] :
      ( ~ p__less__(X4,f__integer__(5))
      | ~ p__greater__(X4,f__integer__(3))
      | ( X0 != X4 )
      | hp(X0) ),
    inference(equality_resolution,[],[f86]) ).

tff(f88,plain,
    ! [X4: general] :
      ( ~ p__less__(X4,f__integer__(5))
      | ~ p__greater__(X4,f__integer__(3))
      | hp(X4) ),
    inference(equality_resolution,[],[f87]) ).

tff(f92,plain,
    ! [X0: $int,X1: $int] :
      ( ~ p__less_equal__(f__integer__(X0),f__integer__(X1))
      | $less(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f57]) ).

tff(f96,plain,
    ! [X0: general,X1: general] :
      ( p__less__(X0,X1)
      | p__less_equal__(X0,X1)
      | ( X0 = X1 ) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

tff(f98,plain,
    ! [X0: general,X1: general] :
      ( ~ p__greater__(X0,X1)
      | p__less_equal__(X1,X0)
      | ( X0 = X1 ) ),
    inference(consistent_polarity_flipping,[],[f65]) ).

tff(f99,plain,
    ! [X0: general] :
      ( tp(X0)
      | hp(X0) ),
    inference(consistent_polarity_flipping,[],[f69]) ).

tff(f101,plain,
    ! [X4: general] :
      ( ~ hp(X4)
      | p__greater__(X4,f__integer__(3))
      | ~ p__less__(X4,f__integer__(5)) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

tff(f103,plain,
    ( ~ tp(sK2)
    | hp(sK2) ),
    inference(consistent_polarity_flipping,[],[f73]) ).

tff(f105,definition,
    ( spl3_1
  <=> ( f__integer__(4) = sK2 ) ),
    introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).

tff(f107,plain,
    ( ( f__integer__(4) = sK2 )
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f105]) ).

tff(f109,definition,
    ( spl3_2
  <=> tp(sK2) ),
    introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).

tff(f111,plain,
    ( ~ tp(sK2)
    | spl3_2 ),
    inference(avatar_component_clause,[],[f109]) ).

tff(f114,definition,
    ( spl3_3
  <=> hp(sK2) ),
    introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).

tff(f116,plain,
    ( hp(sK2)
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f114]) ).

tff(f117,plain,
    ( spl3_3
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f103,f109,f114]) ).

tff(f118,plain,
    spl3_1,
    inference(avatar_split_clause,[],[f74,f105]) ).

tff(f121,plain,
    ( hp(sK2)
    | spl3_2 ),
    inference(resolution,[],[f99,f111]) ).

tff(f122,plain,
    ( spl3_3
    | spl3_2 ),
    inference(avatar_split_clause,[],[f121,f109,f114]) ).

tff(f138,plain,
    ( ! [X0: $int] :
        ( ( f__integer__(X0) != sK2 )
        | ( 4 = X0 ) )
    | ~ spl3_1 ),
    inference(superposition,[],[f54,f107]) ).

tff(f145,plain,
    ( ! [X0: $int] :
        ( ~ p__less_equal__(sK2,f__integer__(X0))
        | $less(X0,4) )
    | ~ spl3_1 ),
    inference(superposition,[],[f92,f107]) ).

tff(f146,plain,
    ( ! [X0: $int] :
        ( ~ p__less_equal__(f__integer__(X0),sK2)
        | $less(4,X0) )
    | ~ spl3_1 ),
    inference(superposition,[],[f92,f107]) ).

tff(f213,plain,
    ( p__greater__(sK2,f__integer__(3))
    | ~ p__less__(sK2,f__integer__(5))
    | ~ spl3_3 ),
    inference(resolution,[],[f101,f116]) ).

tff(f215,definition,
    ( spl3_6
  <=> p__less__(sK2,f__integer__(5)) ),
    introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).

tff(f217,plain,
    ( ~ p__less__(sK2,f__integer__(5))
    | spl3_6 ),
    inference(avatar_component_clause,[],[f215]) ).

tff(f219,definition,
    ( spl3_7
  <=> p__greater__(sK2,f__integer__(3)) ),
    introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).

tff(f221,plain,
    ( p__greater__(sK2,f__integer__(3))
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f219]) ).

tff(f222,plain,
    ( ~ spl3_6
    | spl3_7
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f213,f114,f219,f215]) ).

tff(f225,definition,
    ( spl3_8
  <=> ( f__integer__(5) = sK2 ) ),
    introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).

tff(f227,plain,
    ( ( f__integer__(5) = sK2 )
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f225]) ).

tff(f229,definition,
    ( spl3_9
  <=> p__less_equal__(sK2,f__integer__(5)) ),
    introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).

tff(f231,plain,
    ( p__less_equal__(sK2,f__integer__(5))
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f229]) ).

tff(f237,definition,
    ( spl3_10
  <=> ( f__integer__(3) = sK2 ) ),
    introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).

tff(f239,plain,
    ( ( f__integer__(3) = sK2 )
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f237]) ).

tff(f241,definition,
    ( spl3_11
  <=> p__less_equal__(f__integer__(3),sK2) ),
    introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).

tff(f243,plain,
    ( p__less_equal__(f__integer__(3),sK2)
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f241]) ).

tff(f264,plain,
    ( p__less_equal__(sK2,f__integer__(5))
    | ( f__integer__(5) = sK2 )
    | spl3_6 ),
    inference(resolution,[],[f217,f96]) ).

tff(f265,plain,
    ( spl3_8
    | spl3_9
    | spl3_6 ),
    inference(avatar_split_clause,[],[f264,f215,f229,f225]) ).

tff(f276,plain,
    ( ( sK2 != sK2 )
    | ( 5 = 4 )
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(superposition,[],[f138,f227]) ).

tff(f279,plain,
    ( ( 5 = 4 )
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(trivial_inequality_removal,[],[f276]) ).

tff(f280,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(evaluation,[],[f279]) ).

tff(f281,plain,
    ( ~ spl3_1
    | ~ spl3_8 ),
    inference(avatar_contradiction_clause,[],[f280]) ).

tff(f321,plain,
    ( $less(5,4)
    | ~ spl3_1
    | ~ spl3_9 ),
    inference(resolution,[],[f231,f145]) ).

tff(f324,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_9 ),
    inference(evaluation,[],[f321]) ).

tff(f325,plain,
    ( ~ spl3_1
    | ~ spl3_9 ),
    inference(avatar_contradiction_clause,[],[f324]) ).

tff(f328,plain,
    ( p__less_equal__(f__integer__(3),sK2)
    | ( f__integer__(3) = sK2 )
    | ~ spl3_7 ),
    inference(resolution,[],[f221,f98]) ).

tff(f329,plain,
    ( spl3_10
    | spl3_11
    | ~ spl3_7 ),
    inference(avatar_split_clause,[],[f328,f219,f241,f237]) ).

tff(f354,plain,
    ( ( sK2 != sK2 )
    | ( 3 = 4 )
    | ~ spl3_1
    | ~ spl3_10 ),
    inference(superposition,[],[f138,f239]) ).

tff(f358,plain,
    ( ( 3 = 4 )
    | ~ spl3_1
    | ~ spl3_10 ),
    inference(trivial_inequality_removal,[],[f354]) ).

tff(f359,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_10 ),
    inference(evaluation,[],[f358]) ).

tff(f360,plain,
    ( ~ spl3_1
    | ~ spl3_10 ),
    inference(avatar_contradiction_clause,[],[f359]) ).

tff(f435,plain,
    ( $less(4,3)
    | ~ spl3_1
    | ~ spl3_11 ),
    inference(resolution,[],[f243,f146]) ).

tff(f438,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_11 ),
    inference(evaluation,[],[f435]) ).

tff(f439,plain,
    ( ~ spl3_1
    | ~ spl3_11 ),
    inference(avatar_contradiction_clause,[],[f438]) ).

cnf(s2,plain,
    ( ~ spl3_2
    | spl3_3 ),
    inference(sat_conversion,[],[f117]) ).

cnf(s3,plain,
    spl3_1,
    inference(sat_conversion,[],[f118]) ).

cnf(s5,plain,
    ( spl3_2
    | spl3_3 ),
    inference(sat_conversion,[],[f122]) ).

cnf(s9,plain,
    ( ~ spl3_3
    | ~ spl3_6
    | spl3_7 ),
    inference(sat_conversion,[],[f222]) ).

cnf(s14,plain,
    ( spl3_6
    | spl3_8
    | spl3_9 ),
    inference(sat_conversion,[],[f265]) ).

cnf(s15,plain,
    ( ~ spl3_1
    | ~ spl3_8 ),
    inference(sat_conversion,[],[f281]) ).

cnf(s16,plain,
    ( ~ spl3_1
    | ~ spl3_9 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s20,plain,
    ( ~ spl3_7
    | spl3_10
    | spl3_11 ),
    inference(sat_conversion,[],[f329]) ).

cnf(s21,plain,
    ( ~ spl3_1
    | ~ spl3_10 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s22,plain,
    ( ~ spl3_1
    | ~ spl3_11 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s23,plain,
    ~ spl3_11,
    inference(rat,[],[s22,s3]) ).

cnf(s24,plain,
    ~ spl3_10,
    inference(rat,[],[s21,s3]) ).

cnf(s25,plain,
    ~ spl3_9,
    inference(rat,[],[s16,s3]) ).

cnf(s26,plain,
    ~ spl3_8,
    inference(rat,[],[s15,s3]) ).

cnf(s28,plain,
    ~ spl3_7,
    inference(rat,[],[s20,s23,s24]) ).

cnf(s29,plain,
    spl3_6,
    inference(rat,[],[s14,s25,s26]) ).

cnf(s31,plain,
    ~ spl3_3,
    inference(rat,[],[s9,s28,s29]) ).

cnf(s32,plain,
    spl3_2,
    inference(rat,[],[s5,s31]) ).

cnf(s33,plain,
    $false,
    inference(rat,[],[s2,s31,s32]) ).

tff(f440,plain,
    $false,
    inference(avatar_sat_refutation,[],[s33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWX072_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.02  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10  % Computer : n012.cluster.edu
% 0.00/0.10  % Model    : x86_64 x86_64
% 0.00/0.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10  % Memory   : 8046.5625MB
% 0.00/0.10  % OS       : Linux 6.8.0-71-generic
% 0.00/0.10  % CPULimit : 300
% 0.00/0.10  % WCLimit  : 300
% 0.00/0.10  % DateTime : Mon Sep 28 15:00:04 UTC 2026
% 0.00/0.10  % CPUTime  : 
% 0.00/0.10  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.11  Running first-order model finding
% 0.08/0.11  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
% 0.08/0.15  % (3436513)Will run a generic schedule for satisfiability detection.
% 0.08/0.15  % (3436519)% WARNING: option uhcvi not known.
% 0.08/0.15  % (3436518)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3799831115_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.15  % (3436519)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3303997233:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.15  % (3436520)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3032227609:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.15  % (3436521)dis+10_1_sil=32000:sp=arity:random_seed=3194841232:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.15  % (3436522)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=812875320:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.15  % (3436523)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1192249443:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.15  % (3436524)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=150160690:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.15  % (3436518)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.08/0.15  % (3436518)Terminated due to inappropriate strategy.
% 0.08/0.15  % (3436518)------------------------------
% 0.08/0.15  % (3436518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.15  % (3436518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.15  % (3436518)CaDiCaL version: 2.1.3
% 0.08/0.15  % (3436518)Termination reason: Inappropriate
% 0.08/0.15  % (3436518)Time elapsed: 0.0000 s
% 0.08/0.15  % (3436518)Peak memory usage: 10 MB
% 0.08/0.15  % (3436518)Instructions burned: 1 (million)
% 0.08/0.15  % (3436518)------------------------------
% 0.08/0.15  % (3436518)------------------------------
% 0.08/0.15  % (3436519) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3436513-3436519"...
% 0.08/0.15  % (3436519)...printing done.
% 0.08/0.15  % (3436519)Refutation found. Thanks to Tanya!
% 0.08/0.15  % SZS status Theorem for theBenchmark
% 0.08/0.15  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.15  % (3436519)------------------------------
% 0.08/0.15  % (3436519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.15  % (3436519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.15  % (3436519)CaDiCaL version: 2.1.3
% 0.08/0.15  % (3436519)Termination reason: Refutation
% 0.08/0.15  % (3436519)Time elapsed: 0.007 s
% 0.08/0.15  % (3436519)Peak memory usage: 12 MB
% 0.08/0.15  % (3436519)Instructions burned: 16 (million)
% 0.08/0.15  % (3436513)Success in time 0.029 s
% 0.08/0.15  % Vampire exiting
%------------------------------------------------------------------------------