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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEV453^1 : TPTP v9.3.1. Released v7.0.0.
% 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 : Wed Sep 30 08:39:32 AM UTC 2026

% Result   : Theorem 0.91s 0.37s
% Output   : Refutation 0.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   83 (  21 unt;   0 typ;   6 def)
%            Number of atoms       :  355 (  75 equ;   0 cnn)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :  398 (  49   ~;  72   |;   6   &; 265   @)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   31 (  31   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   31 (  28 usr;   9 con; 0-4 aty)
%            Number of variables   :   74 (   0 sgn  72   !;   2   ?;  74   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(type_def_6,type,
    sK0: $tType ).

thf(func_def_0,type,
    'const/sets/UNIV': 
      !>[X0: $tType] : ( X0 > $o ) ).

thf(func_def_1,type,
    'const/sets/INTER': 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 > $o ) ).

thf(func_def_2,type,
    'const/sets/IN': 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).

thf(func_def_6,type,
    vAND: $o > $o > $o ).

thf(func_def_7,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_8,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_9,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_10,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_11,type,
    sK1: sK0 > $o ).

thf(func_def_12,type,
    vNOT: $o > $o ).

thf(func_def_13,type,
    sK2: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_14,type,
    sK3: sK0 ).

thf(func_def_16,type,
    sK5: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_17,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_18,type,
    sK6: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > sK0 > $o ) > ( X0 > sK0 > $o ) > X0 ) ).

thf(func_def_19,type,
    sK7: 
      !>[X0: $tType] : ( ( X0 > sK0 > $o ) > X0 > sK0 ) ).

thf(func_def_20,type,
    sK8: 
      !>[X0: $tType] : ( X0 > ( X0 > sK0 > $o ) > sK0 ) ).

thf(func_def_21,type,
    sK9: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_22,type,
    sK10: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_23,type,
    sK11: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_24,type,
    sK12: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(f1,axiom,
    ! [X0: $tType,X1: X0 > $o,X2: X0] :
      ( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
      = ( X1 @ X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/IN_') ).

thf(f2,axiom,
    ! [X0: $tType,X1: X0] : ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/IN_UNIV_') ).

thf(f3,axiom,
    ! [X0: $tType,X1: X0 > $o,X2: X0 > $o,X3: X0] :
      ( ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INTER' @ X0 @ X1 @ X2 ) )
        = ( 'const/sets/IN' @ X0 @ X3 @ X2 ) )
      & ( 'const/sets/IN' @ X0 @ X3 @ X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/IN_INTER_') ).

thf(f5,conjecture,
    ! [X0: $tType,X1: X0 > $o] :
      ( ( 'const/sets/INTER' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 )
      = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/INTER_UNIV_1') ).

thf(f6,negated_conjecture,
    ~ ! [X0: $tType,X1: X0 > $o] :
        ( ( 'const/sets/INTER' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 )
        = X1 ),
    inference(negated_conjecture,[status(cth)],[f5]) ).

thf(f7,plain,
    ! [X0: $tType,X1: X0] : ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 ),
    inference(rectify,[],[f2]) ).

thf(f8,plain,
    ! [X0: $tType,X1: X0] :
      ( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 )
      = $true ),
    inference(fool_elimination,[],[f7]) ).

thf(f9,plain,
    ! [X0: $tType,X1: X0 > $o,X2: X0 > $o,X3: X0] :
      ( ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INTER' @ X0 @ X1 @ X2 ) )
        = ( 'const/sets/IN' @ X0 @ X3 @ X2 ) )
      & ( 'const/sets/IN' @ X0 @ X3 @ X1 ) ),
    inference(rectify,[],[f3]) ).

thf(f10,plain,
    ! [X0: $tType,X1: X0 > $o,X2: X0 > $o,X3: X0] :
      ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INTER' @ X0 @ X1 @ X2 ) )
      = ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
        & ( 'const/sets/IN' @ X0 @ X3 @ X2 ) ) ),
    inference(fool_elimination,[],[f9]) ).

thf(f12,plain,
    ? [X0: $tType,X1: X0 > $o] :
      ( ( 'const/sets/INTER' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 )
     != X1 ),
    inference(ennf_transformation,[],[f6]) ).

thf(f13,plain,
    ( sK1
   != ( 'const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f12]) ).

thf(f14,plain,
    ! [X0: $tType,X2: X0,X1: X0 > $o] :
      ( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
      = ( X1 @ X2 ) ),
    inference(cnf_transformation,[],[f1]) ).

thf(f15,plain,
    ! [X0: $tType,X1: X0] :
      ( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 )
      = $true ),
    inference(cnf_transformation,[],[f8]) ).

thf(f16,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
      ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INTER' @ X0 @ X1 @ X2 ) )
      = ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
        & ( 'const/sets/IN' @ X0 @ X3 @ X2 ) ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f18,plain,
    ( sK1
   != ( 'const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 ) ),
    inference(cnf_transformation,[],[f13]) ).

thf(f35,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
      ( ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INTER' @ X0 @ X1 @ X2 ) )
        = $true )
      | ( ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
          & ( 'const/sets/IN' @ X0 @ X3 @ X2 ) )
        = $false ) ),
    inference(iff_proxy_clausification,[],[f16]) ).

thf(f36,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
      ( ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INTER' @ X0 @ X1 @ X2 ) )
        = $false )
      | ( $true
        = ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
          & ( 'const/sets/IN' @ X0 @ X3 @ X2 ) ) ) ),
    inference(iff_proxy_clausification,[],[f16]) ).

thf(f38,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
      ( ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INTER' @ X0 @ X1 @ X2 ) )
        = $false )
      | ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
        = $true ) ),
    inference(and_proxy_clausification,[],[f36]) ).

thf(f39,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
      ( ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INTER' @ X0 @ X1 @ X2 ) )
        = $true )
      | ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
        = $false )
      | ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
        = $false ) ),
    inference(and_proxy_clausification,[],[f35]) ).

thf(f40,plain,
    ! [X0: $tType,X2: X0,X1: X0 > $o] :
      ( ( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
        = $true )
      | ( ( X1 @ X2 )
        = $false ) ),
    inference(iff_proxy_clausification,[],[f14]) ).

thf(f41,plain,
    ! [X0: $tType,X2: X0,X1: X0 > $o] :
      ( ( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
        = $false )
      | ( ( X1 @ X2 )
        = $true ) ),
    inference(iff_proxy_clausification,[],[f14]) ).

thf(f42,plain,
    ( ( sK1 @ sK3 )
   != ( 'const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 @ sK3 ) ),
    inference(negative_extensionality,[],[f18]) ).

thf(f43,plain,
    ( ( $true
      = ( sK1 @ sK3 ) )
    | ( $true
      = ( 'const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 @ sK3 ) ) ),
    inference(xor_proxy_clausification,[],[f42]) ).

thf(f44,plain,
    ( ( $false
      = ( sK1 @ sK3 ) )
    | ( $false
      = ( 'const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 @ sK3 ) ) ),
    inference(xor_proxy_clausification,[],[f42]) ).

thf(f46,definition,
    ( spl4_1
  <=> ( $false
      = ( 'const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 @ sK3 ) ) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

thf(f47,plain,
    ( ( $false
     != ( 'const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 @ sK3 ) )
    | spl4_1 ),
    inference(avatar_component_clause,[],[f46]) ).

thf(f48,plain,
    ( ( $false
      = ( 'const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 @ sK3 ) )
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f46]) ).

thf(f50,definition,
    ( spl4_2
  <=> ( $false
      = ( sK1 @ sK3 ) ) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

thf(f51,plain,
    ( ( $false
     != ( sK1 @ sK3 ) )
    | spl4_2 ),
    inference(avatar_component_clause,[],[f50]) ).

thf(f52,plain,
    ( ( $false
      = ( sK1 @ sK3 ) )
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f50]) ).

thf(f53,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f44,f50,f46]) ).

thf(f55,definition,
    ( spl4_3
  <=> ( $true
      = ( 'const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 @ sK3 ) ) ),
    introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).

thf(f57,plain,
    ( ( $true
      = ( 'const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 @ sK3 ) )
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f55]) ).

thf(f59,definition,
    ( spl4_4
  <=> ( $true
      = ( sK1 @ sK3 ) ) ),
    introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).

thf(f61,plain,
    ( ( $true
      = ( sK1 @ sK3 ) )
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f59]) ).

thf(f62,plain,
    ( spl4_3
    | spl4_4 ),
    inference(avatar_split_clause,[],[f43,f59,f55]) ).

thf(f91,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X1: X0] :
      ( ( $true = $false )
      | ( $true
        = ( 'const/sets/INTER' @ X0 @ X2 @ X3 @ X1 ) )
      | ( $false
        = ( 'const/sets/IN' @ X0 @ X1 @ X3 ) )
      | ( $false
        = ( 'const/sets/IN' @ X0 @ X1 @ X2 ) ) ),
    inference(constrained_superposition,[],[f41,f39]) ).

thf(f92,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X1: X0] :
      ( ( $true
        = ( 'const/sets/INTER' @ X0 @ X2 @ X3 @ X1 ) )
      | ( $false
        = ( 'const/sets/IN' @ X0 @ X1 @ X3 ) )
      | ( $false
        = ( 'const/sets/IN' @ X0 @ X1 @ X2 ) ) ),
    inference(trivial_inequality_removal,[],[f91]) ).

thf(f215,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X1: X0] :
      ( ( $true = $false )
      | ( $false
        = ( 'const/sets/INTER' @ X0 @ X2 @ X3 @ X1 ) )
      | ( $true
        = ( 'const/sets/IN' @ X0 @ X1 @ X2 ) ) ),
    inference(constrained_superposition,[],[f40,f38]) ).

thf(f218,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X1: X0] :
      ( ( $false
        = ( 'const/sets/INTER' @ X0 @ X2 @ X3 @ X1 ) )
      | ( $true
        = ( 'const/sets/IN' @ X0 @ X1 @ X2 ) ) ),
    inference(trivial_inequality_removal,[],[f215]) ).

thf(f388,plain,
    ( ( $true = $false )
    | ~ spl4_1
    | ~ spl4_3 ),
    inference(constrained_superposition,[],[f48,f57]) ).

thf(f398,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_3 ),
    inference(trivial_inequality_removal,[],[f388]) ).

thf(f399,plain,
    ( ~ spl4_1
    | ~ spl4_3 ),
    inference(avatar_contradiction_clause,[],[f398]) ).

thf(f401,definition,
    ( spl4_6
  <=> ( $false
      = ( 'const/sets/IN' @ sK0 @ sK3 @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).

thf(f403,plain,
    ( ( $false
      = ( 'const/sets/IN' @ sK0 @ sK3 @ sK1 ) )
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f401]) ).

thf(f405,definition,
    ( spl4_7
  <=> ( $false
      = ( 'const/sets/IN' @ sK0 @ sK3 @ 'const/sets/UNIV' @ sK0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).

thf(f407,plain,
    ( ( $false
      = ( 'const/sets/IN' @ sK0 @ sK3 @ 'const/sets/UNIV' @ sK0 ) )
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f405]) ).

thf(f549,plain,
    ( ( $true = $false )
    | ~ spl4_2
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f61,f52]) ).

thf(f550,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_4 ),
    inference(trivial_inequality_removal,[],[f549]) ).

thf(f551,plain,
    ( ~ spl4_2
    | ~ spl4_4 ),
    inference(avatar_contradiction_clause,[],[f550]) ).

thf(f1295,plain,
    ( ( $false != $false )
    | ( $true
      = ( 'const/sets/IN' @ sK0 @ sK3 @ sK1 ) )
    | spl4_1 ),
    inference(constrained_superposition,[],[f47,f218]) ).

thf(f1303,plain,
    ( ( $true
      = ( 'const/sets/IN' @ sK0 @ sK3 @ sK1 ) )
    | spl4_1 ),
    inference(trivial_inequality_removal,[],[f1295]) ).

thf(f1375,plain,
    ( ( $true = $false )
    | ( $true
      = ( sK1 @ sK3 ) )
    | spl4_1 ),
    inference(constrained_superposition,[],[f1303,f41]) ).

thf(f1400,plain,
    ( ( $true
      = ( sK1 @ sK3 ) )
    | spl4_1 ),
    inference(trivial_inequality_removal,[],[f1375]) ).

thf(f1405,plain,
    ( ( $true = $false )
    | spl4_1
    | ~ spl4_2 ),
    inference(forward_demodulation,[],[f1400,f52]) ).

thf(f1406,plain,
    ( $false
    | spl4_1
    | ~ spl4_2 ),
    inference(trivial_inequality_removal,[],[f1405]) ).

thf(f1407,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_contradiction_clause,[],[f1406]) ).

thf(f1443,plain,
    ( ( $true = $false )
    | ( $false
      = ( sK1 @ sK3 ) )
    | ~ spl4_6 ),
    inference(constrained_superposition,[],[f403,f40]) ).

thf(f1464,plain,
    ( ( $false
      = ( sK1 @ sK3 ) )
    | ~ spl4_6 ),
    inference(trivial_inequality_removal,[],[f1443]) ).

thf(f1472,plain,
    ( $false
    | spl4_2
    | ~ spl4_6 ),
    inference(forward_subsumption_resolution,[],[f1464,f51]) ).

thf(f1473,plain,
    ( spl4_2
    | ~ spl4_6 ),
    inference(avatar_contradiction_clause,[],[f1472]) ).

thf(f1476,plain,
    ( ( $true = $false )
    | ( $false
      = ( 'const/sets/IN' @ sK0 @ sK3 @ 'const/sets/UNIV' @ sK0 ) )
    | ( $false
      = ( 'const/sets/IN' @ sK0 @ sK3 @ sK1 ) )
    | ~ spl4_1 ),
    inference(constrained_superposition,[],[f48,f92]) ).

thf(f1487,plain,
    ( ( $false
      = ( 'const/sets/IN' @ sK0 @ sK3 @ 'const/sets/UNIV' @ sK0 ) )
    | ( $false
      = ( 'const/sets/IN' @ sK0 @ sK3 @ sK1 ) )
    | ~ spl4_1 ),
    inference(trivial_inequality_removal,[],[f1476]) ).

thf(f1493,plain,
    ( spl4_6
    | spl4_7
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f1487,f46,f405,f401]) ).

thf(f1524,plain,
    ( ( $true = $false )
    | ~ spl4_7 ),
    inference(constrained_superposition,[],[f407,f15]) ).

thf(f1544,plain,
    ( $false
    | ~ spl4_7 ),
    inference(trivial_inequality_removal,[],[f1524]) ).

thf(f1545,plain,
    ~ spl4_7,
    inference(avatar_contradiction_clause,[],[f1544]) ).

cnf(s1,plain,
    ( spl4_1
    | spl4_2 ),
    inference(sat_conversion,[],[f53]) ).

cnf(s2,plain,
    ( spl4_3
    | spl4_4 ),
    inference(sat_conversion,[],[f62]) ).

cnf(s5,plain,
    ( ~ spl4_1
    | ~ spl4_3 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s11,plain,
    ( ~ spl4_2
    | ~ spl4_4 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s29,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(sat_conversion,[],[f1407]) ).

cnf(s36,plain,
    ( spl4_2
    | ~ spl4_6 ),
    inference(sat_conversion,[],[f1473]) ).

cnf(s38,plain,
    ( ~ spl4_1
    | spl4_6
    | spl4_7 ),
    inference(sat_conversion,[],[f1493]) ).

cnf(s40,plain,
    ~ spl4_7,
    inference(sat_conversion,[],[f1545]) ).

cnf(s41,plain,
    ( ~ spl4_1
    | spl4_6 ),
    inference(rat,[],[s38,s40]) ).

cnf(s49,plain,
    spl4_1,
    inference(rat,[],[s1,s29]) ).

cnf(s50,plain,
    spl4_6,
    inference(rat,[],[s41,s49]) ).

cnf(s51,plain,
    ~ spl4_3,
    inference(rat,[],[s5,s49]) ).

cnf(s52,plain,
    spl4_2,
    inference(rat,[],[s36,s50]) ).

cnf(s53,plain,
    spl4_4,
    inference(rat,[],[s2,s51]) ).

cnf(s54,plain,
    $false,
    inference(rat,[],[s11,s53,s52]) ).

thf(f1554,plain,
    $false,
    inference(avatar_sat_refutation,[],[s54]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV453^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n009.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Tue Sep 29 15:48:30 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  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
% 0.91/0.37  % (4169381)Will run a generic schedule for satisfiability detection.
% 0.91/0.37  % (4169391)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=822994478:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.91/0.37  % (4169387)% WARNING: option uhcvi not known.
% 0.91/0.37  % (4169386)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3010706308_2999 on theBenchmark for (2999ds/0Mi)
% 0.91/0.37  % (4169388)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=908421633:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.91/0.37  % (4169387)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3182214922:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.91/0.37  % (4169389)dis+10_1_sil=32000:sp=arity:random_seed=572428340:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.91/0.37  % (4169390)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2960845935:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.91/0.37  % Exception at run slice level
% 0.91/0.37  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.91/0.37  % (4169387)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.91/0.37  % (4169392)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1033128615:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.91/0.37  % (4169390)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.91/0.37  % (4169387)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.91/0.37  % (4169400)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2890012908:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.91/0.37  % Exception at run slice level
% 0.91/0.37  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.91/0.37  % (4169391)Instruction limit reached! 
% 0.91/0.37  % (4169391)------------------------------
% 0.91/0.37  % (4169391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.37  % (4169391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.37  % (4169391)CaDiCaL version: 2.1.3
% 0.91/0.37  % (4169391)Termination reason: Instruction limit
% 0.91/0.37  % (4169391)Termination phase: Saturation
% 0.91/0.37  % (4169391)Time elapsed: 0.038 s
% 0.91/0.37  % (4169391)Peak memory usage: 12 MB
% 0.91/0.37  % (4169391)Instructions burned: 135 (million)
% 0.91/0.37  % (4169402)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1813327601:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.91/0.37  % (4169403)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1319534141:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.91/0.37  % (4169403)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.91/0.37  % (4169403)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.91/0.37  % (4169389)Instruction limit reached! 
% 0.91/0.37  % (4169389)------------------------------
% 0.91/0.37  % (4169389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.37  % (4169389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.37  % (4169389)CaDiCaL version: 2.1.3
% 0.91/0.37  % (4169389)Termination reason: Instruction limit
% 0.91/0.37  % (4169389)Termination phase: Saturation
% 0.91/0.37  % (4169389)Time elapsed: 0.054 s
% 0.91/0.37  % (4169389)Peak memory usage: 12 MB
% 0.91/0.37  % (4169389)Instructions burned: 103 (million)
% 0.91/0.37  % (4169390)Instruction limit reached! 
% 0.91/0.37  % (4169390)------------------------------
% 0.91/0.37  % (4169390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.37  % (4169390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.37  % (4169390)CaDiCaL version: 2.1.3
% 0.91/0.37  % (4169390)Termination reason: Instruction limit
% 0.91/0.37  % (4169390)Termination phase: Saturation
% 0.91/0.37  % (4169390)Time elapsed: 0.064 s
% 0.91/0.37  % (4169390)Peak memory usage: 12 MB
% 0.91/0.37  % (4169390)Instructions burned: 122 (million)
% 0.91/0.37  % (4169406)ott-21_1_sil=16000:fs=off:random_seed=4080617867:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.91/0.37  % (4169407)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2631030997:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.91/0.37  % (4169392)Instruction limit reached! 
% 0.91/0.37  % (4169392)------------------------------
% 0.91/0.37  % (4169392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.37  % (4169392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.37  % (4169392)CaDiCaL version: 2.1.3
% 0.91/0.37  % (4169392)Termination reason: Instruction limit
% 0.91/0.37  % (4169392)Termination phase: Saturation
% 0.91/0.37  % (4169392)Time elapsed: 0.085 s
% 0.91/0.37  % (4169392)Peak memory usage: 13 MB
% 0.91/0.37  % (4169392)Instructions burned: 159 (million)
% 0.91/0.37  % (4169387) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4169381-4169387"...
% 0.91/0.37  % (4169387)...printing done.
% 0.91/0.37  % (4169410)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2677491145:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.91/0.37  % (4169387)Refutation found. Thanks to Tanya!
% 0.91/0.37  % SZS status Theorem for theBenchmark
% 0.91/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.91/0.38  % (4169387)------------------------------
% 0.91/0.38  % (4169387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.38  % (4169387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.38  % (4169387)CaDiCaL version: 2.1.3
% 0.91/0.38  % (4169387)Termination reason: Refutation
% 0.91/0.38  % (4169387)Time elapsed: 0.104 s
% 0.91/0.38  % (4169387)Peak memory usage: 13 MB
% 0.91/0.38  % (4169387)Instructions burned: 201 (million)
% 0.91/0.38  % (4169381)Success in time 0.144 s
% 0.91/0.38  % Vampire exiting
%------------------------------------------------------------------------------