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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : HWV033-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 10:20:18 AM UTC 2026

% Result   : Unsatisfiable 2.52s 1.30s
% Output   : Refutation 3.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  109 (  12 unt;   8 def)
%            Number of atoms       :  315 (  44 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  338 ( 132   ~; 198   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   9 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   43 (   0 sgn  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : plus(X0,n1) != n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( gt(X0,X1)
      | ~ gt(plus(X0,n1),X1)
      | X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ~ gt(plus(X0,n1),X1)
      | gt(X0,X1)
      | X0 = X1 ),
    inference(reorient_equations,[],[f11]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( gt(X0,X1)
      | X1 = X0
      | gt(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

fof(f15,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | gt(X0,X1) ),
    inference(reorient_equations,[],[f14]) ).

fof(f16,axiom,
    ! [X2,X0,X1] :
      ( gt(X0,X2)
      | ~ gt(X0,X1)
      | ~ gt(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( gt(X0,plus(X1,n1))
      | plus(X1,n1) = X0
      | ~ gt(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f18,axiom,
    ! [X0] :
      ( X0 = n0
      | gt(X0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).

fof(f19,plain,
    ! [X0] :
      ( gt(X0,n0)
      | n0 = X0 ),
    inference(reorient_equations,[],[f18]) ).

fof(f22,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

fof(f37,axiom,
    ! [X0] :
      ( ~ p_Reset(X0)
      | rd_level(plus(X0,n1)) = n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).

fof(f38,plain,
    ! [X0] :
      ( n0 = rd_level(plus(X0,n1))
      | ~ p_Reset(X0) ),
    inference(reorient_equations,[],[f37]) ).

fof(f43,axiom,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = rd_level(X0)
      | ~ p_Wr(X0)
      | p_Rd(X0)
      | p_Reset(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).

fof(f71,axiom,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = plus(rd_level(X0),n1)
      | ~ p_Wr(X0)
      | ~ p_Rd(X0)
      | ~ gt(int_level(X0),n0)
      | ~ gt(minus(fifo_length,n1),rd_level(X0))
      | p_Reset(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).

fof(f72,axiom,
    ! [X0] :
      ( p_Reset(X0)
      | ~ p_Wr(X0)
      | ~ p_Rd(X0)
      | ~ gt(int_level(X0),n0)
      | gt(minus(fifo_length,n1),rd_level(X0))
      | rd_level(plus(X0,n1)) = n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).

fof(f73,plain,
    ! [X0] :
      ( p_Reset(X0)
      | ~ p_Wr(X0)
      | ~ p_Rd(X0)
      | ~ gt(int_level(X0),n0)
      | gt(minus(fifo_length,n1),rd_level(X0))
      | n0 = rd_level(plus(X0,n1)) ),
    inference(reorient_equations,[],[f72]) ).

fof(f76,axiom,
    ! [X0] :
      ( p_Reset(X0)
      | ~ p_Wr(X0)
      | ~ p_Rd(X0)
      | gt(int_level(X0),n0)
      | rd_level(plus(X0,n1)) = rd_level(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).

fof(f93,axiom,
    ! [X0] :
      ( p_Reset(X0)
      | p_Wr(X0)
      | ~ p_Rd(X0)
      | ~ gt(int_level(X0),n0)
      | ~ gt(minus(fifo_length,n1),rd_level(X0))
      | rd_level(plus(X0,n1)) = plus(rd_level(X0),n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).

fof(f94,axiom,
    ! [X0] :
      ( p_Reset(X0)
      | p_Wr(X0)
      | ~ p_Rd(X0)
      | ~ gt(int_level(X0),n0)
      | gt(minus(fifo_length,n1),rd_level(X0))
      | rd_level(plus(X0,n1)) = n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_75) ).

fof(f95,plain,
    ! [X0] :
      ( p_Reset(X0)
      | p_Wr(X0)
      | ~ p_Rd(X0)
      | ~ gt(int_level(X0),n0)
      | gt(minus(fifo_length,n1),rd_level(X0))
      | n0 = rd_level(plus(X0,n1)) ),
    inference(reorient_equations,[],[f94]) ).

fof(f97,axiom,
    ! [X0] :
      ( p_Reset(X0)
      | p_Wr(X0)
      | ~ p_Rd(X0)
      | gt(int_level(X0),n0)
      | rd_level(plus(X0,n1)) = rd_level(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).

fof(f102,axiom,
    ! [X0] :
      ( p_Reset(X0)
      | p_Wr(X0)
      | p_Rd(X0)
      | rd_level(plus(X0,n1)) = rd_level(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_81) ).

fof(f113,negated_conjecture,
    ~ gt(rd_level(t_139),minus(fifo_length,n1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

fof(f114,negated_conjecture,
    gt(rd_level(plus(t_139,n1)),minus(fifo_length,n1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).

fof(f142,plain,
    ( gt(n0,minus(fifo_length,n1))
    | ~ p_Reset(t_139) ),
    inference(superposition,[],[f114,f38]) ).

fof(f144,definition,
    ( spl0_3
  <=> p_Reset(t_139) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f145,plain,
    ( ~ p_Reset(t_139)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f147,definition,
    ( spl0_4
  <=> gt(n0,minus(fifo_length,n1)) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f148,plain,
    ( gt(n0,minus(fifo_length,n1))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f149,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f142,f147,f144]) ).

fof(f154,plain,
    ( minus(fifo_length,n1) = rd_level(t_139)
    | gt(minus(fifo_length,n1),rd_level(t_139)) ),
    inference(resolution,[],[f15,f113]) ).

fof(f157,definition,
    ( spl0_5
  <=> gt(minus(fifo_length,n1),rd_level(t_139)) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f158,plain,
    ( gt(minus(fifo_length,n1),rd_level(t_139))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f160,definition,
    ( spl0_6
  <=> minus(fifo_length,n1) = rd_level(t_139) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f161,plain,
    ( minus(fifo_length,n1) = rd_level(t_139)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f162,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f154,f160,f157]) ).

fof(f163,plain,
    ! [X0] :
      ( ~ gt(X0,minus(fifo_length,n1))
      | ~ gt(rd_level(t_139),X0) ),
    inference(resolution,[],[f16,f113]) ).

fof(f168,plain,
    ~ gt(rd_level(t_139),rd_level(plus(t_139,n1))),
    inference(resolution,[],[f163,f114]) ).

fof(f192,plain,
    ( ~ gt(rd_level(t_139),n0)
    | ~ p_Reset(t_139) ),
    inference(superposition,[],[f168,f38]) ).

fof(f213,definition,
    ( spl0_11
  <=> gt(rd_level(t_139),n0) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f214,plain,
    ( ~ gt(rd_level(t_139),n0)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f220,definition,
    ( spl0_13
  <=> n0 = rd_level(t_139) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f221,plain,
    ( n0 = rd_level(t_139)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f262,plain,
    ( n0 = rd_level(t_139)
    | spl0_11 ),
    inference(resolution,[],[f214,f19]) ).

fof(f270,plain,
    ( spl0_13
    | spl0_11 ),
    inference(avatar_split_clause,[],[f262,f213,f220]) ).

fof(f301,definition,
    ( spl0_27
  <=> p_Rd(t_139) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f302,plain,
    ( p_Rd(t_139)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f307,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = rd_level(X0)
      | p_Rd(X0)
      | p_Reset(X0) ),
    inference(forward_subsumption_resolution,[],[f102,f43]) ).

fof(f309,plain,
    ( ! [X0] :
        ( ~ gt(rd_level(t_139),X0)
        | ~ gt(X0,n0) )
    | spl0_11 ),
    inference(resolution,[],[f214,f16]) ).

fof(f316,plain,
    ( gt(rd_level(t_139),minus(fifo_length,n1))
    | p_Rd(t_139)
    | p_Reset(t_139) ),
    inference(superposition,[],[f114,f307]) ).

fof(f318,plain,
    ( p_Rd(t_139)
    | p_Reset(t_139) ),
    inference(forward_subsumption_resolution,[],[f316,f113]) ).

fof(f320,plain,
    ( p_Rd(t_139)
    | spl0_3 ),
    inference(forward_subsumption_resolution,[],[f318,f145]) ).

fof(f321,plain,
    ( spl0_27
    | spl0_3 ),
    inference(avatar_split_clause,[],[f320,f144,f301]) ).

fof(f331,plain,
    ( ~ gt(n0,minus(fifo_length,n1))
    | ~ spl0_13 ),
    inference(superposition,[],[f113,f221]) ).

fof(f401,plain,
    ( ! [X0] :
        ( ~ gt(n0,X0)
        | ~ gt(X0,n0) )
    | spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f309,f221]) ).

fof(f413,plain,
    ( ! [X0] :
        ( ~ gt(plus(X0,n1),n0)
        | plus(X0,n1) = n0
        | ~ gt(n0,X0) )
    | spl0_11
    | ~ spl0_13 ),
    inference(resolution,[],[f401,f17]) ).

fof(f418,plain,
    ( ! [X0] :
        ( plus(X0,n1) = n0
        | ~ gt(n0,X0) )
    | spl0_11
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f413,f19]) ).

fof(f419,plain,
    ( ! [X0] : ~ gt(n0,X0)
    | spl0_11
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f418,f1]) ).

fof(f483,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = rd_level(X0)
      | ~ p_Wr(X0)
      | gt(int_level(X0),n0)
      | p_Reset(X0) ),
    inference(forward_subsumption_resolution,[],[f76,f43]) ).

fof(f500,plain,
    ! [X0] :
      ( p_Reset(X0)
      | ~ p_Rd(X0)
      | gt(int_level(X0),n0)
      | rd_level(plus(X0,n1)) = rd_level(X0) ),
    inference(forward_subsumption_resolution,[],[f97,f483]) ).

fof(f501,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = rd_level(X0)
      | gt(int_level(X0),n0)
      | p_Reset(X0) ),
    inference(forward_subsumption_resolution,[],[f500,f307]) ).

fof(f508,plain,
    ( gt(rd_level(t_139),minus(fifo_length,n1))
    | gt(int_level(t_139),n0)
    | p_Reset(t_139) ),
    inference(superposition,[],[f114,f501]) ).

fof(f510,plain,
    ( gt(int_level(t_139),n0)
    | p_Reset(t_139) ),
    inference(forward_subsumption_resolution,[],[f508,f113]) ).

fof(f514,plain,
    ( gt(int_level(t_139),n0)
    | spl0_3 ),
    inference(forward_subsumption_resolution,[],[f510,f145]) ).

fof(f1017,plain,
    ! [X0] :
      ( gt(minus(fifo_length,n1),rd_level(X0))
      | ~ p_Rd(X0)
      | ~ gt(int_level(X0),n0)
      | ~ p_Wr(X0)
      | n0 = rd_level(plus(X0,n1)) ),
    inference(forward_subsumption_resolution,[],[f73,f38]) ).

fof(f1036,plain,
    ! [X0] :
      ( p_Reset(X0)
      | ~ p_Rd(X0)
      | ~ gt(int_level(X0),n0)
      | gt(minus(fifo_length,n1),rd_level(X0))
      | n0 = rd_level(plus(X0,n1)) ),
    inference(forward_subsumption_resolution,[],[f95,f1017]) ).

fof(f1037,plain,
    ! [X0] :
      ( gt(minus(fifo_length,n1),rd_level(X0))
      | ~ gt(int_level(X0),n0)
      | ~ p_Rd(X0)
      | n0 = rd_level(plus(X0,n1)) ),
    inference(forward_subsumption_resolution,[],[f1036,f38]) ).

fof(f1211,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = plus(rd_level(X0),n1)
      | ~ p_Rd(X0)
      | ~ gt(int_level(X0),n0)
      | ~ gt(minus(fifo_length,n1),rd_level(X0))
      | p_Reset(X0) ),
    inference(forward_subsumption_resolution,[],[f93,f71]) ).

fof(f1225,plain,
    ( gt(plus(rd_level(t_139),n1),minus(fifo_length,n1))
    | ~ p_Rd(t_139)
    | ~ gt(int_level(t_139),n0)
    | ~ gt(minus(fifo_length,n1),rd_level(t_139))
    | p_Reset(t_139) ),
    inference(superposition,[],[f114,f1211]) ).

fof(f1252,plain,
    ( gt(plus(rd_level(t_139),n1),minus(fifo_length,n1))
    | ~ gt(int_level(t_139),n0)
    | ~ gt(minus(fifo_length,n1),rd_level(t_139))
    | p_Reset(t_139)
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f1225,f302]) ).

fof(f1259,plain,
    ( gt(plus(rd_level(t_139),n1),minus(fifo_length,n1))
    | ~ gt(minus(fifo_length,n1),rd_level(t_139))
    | p_Reset(t_139)
    | spl0_3
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f1252,f514]) ).

fof(f1265,plain,
    ( gt(plus(rd_level(t_139),n1),minus(fifo_length,n1))
    | p_Reset(t_139)
    | spl0_3
    | ~ spl0_5
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f1259,f158]) ).

fof(f1271,plain,
    ( gt(plus(rd_level(t_139),n1),minus(fifo_length,n1))
    | spl0_3
    | ~ spl0_5
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f1265,f145]) ).

fof(f1278,plain,
    ( gt(rd_level(t_139),minus(fifo_length,n1))
    | minus(fifo_length,n1) = rd_level(t_139)
    | spl0_3
    | ~ spl0_5
    | ~ spl0_27 ),
    inference(resolution,[],[f1271,f12]) ).

fof(f1282,plain,
    ( minus(fifo_length,n1) = rd_level(t_139)
    | spl0_3
    | ~ spl0_5
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f1278,f113]) ).

fof(f1283,plain,
    ( spl0_6
    | spl0_3
    | ~ spl0_5
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1282,f301,f157,f144,f160]) ).

fof(f1306,plain,
    ( gt(minus(fifo_length,n1),minus(fifo_length,n1))
    | ~ gt(int_level(t_139),n0)
    | ~ p_Rd(t_139)
    | n0 = rd_level(plus(t_139,n1))
    | ~ spl0_6 ),
    inference(superposition,[],[f1037,f161]) ).

fof(f1308,plain,
    ( ~ gt(int_level(t_139),n0)
    | ~ p_Rd(t_139)
    | n0 = rd_level(plus(t_139,n1))
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f1306,f22]) ).

fof(f1311,plain,
    ( ~ p_Rd(t_139)
    | n0 = rd_level(plus(t_139,n1))
    | spl0_3
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f1308,f514]) ).

fof(f1312,plain,
    ( n0 = rd_level(plus(t_139,n1))
    | spl0_3
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f1311,f302]) ).

fof(f1367,definition,
    ( spl0_82
  <=> n0 = rd_level(plus(t_139,n1)) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f1368,plain,
    ( n0 = rd_level(plus(t_139,n1))
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f1367]) ).

fof(f1579,plain,
    ( spl0_82
    | spl0_3
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1312,f301,f160,f144,f1367]) ).

fof(f1590,plain,
    ( gt(n0,minus(fifo_length,n1))
    | ~ spl0_82 ),
    inference(superposition,[],[f114,f1368]) ).

fof(f1591,plain,
    ( ~ gt(rd_level(t_139),n0)
    | ~ spl0_82 ),
    inference(superposition,[],[f168,f1368]) ).

fof(f1611,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_82 ),
    inference(forward_subsumption_resolution,[],[f1590,f331]) ).

fof(f1612,plain,
    ( ~ spl0_13
    | ~ spl0_82 ),
    inference(avatar_contradiction_clause,[],[f1611]) ).

fof(f1644,plain,
    ( ~ spl0_11
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1591,f1367,f213]) ).

fof(f1676,plain,
    ( ~ spl0_3
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f192,f213,f144]) ).

fof(f1714,plain,
    ( $false
    | ~ spl0_4
    | spl0_11
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f148,f419]) ).

fof(f1715,plain,
    ( ~ spl0_4
    | spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1714]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f149]) ).

cnf(s3,plain,
    ( spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f162]) ).

cnf(s16,plain,
    ( spl0_11
    | spl0_13 ),
    inference(sat_conversion,[],[f270]) ).

cnf(s24,plain,
    ( spl0_3
    | spl0_27 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s88,plain,
    ( spl0_3
    | ~ spl0_5
    | spl0_6
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f1283]) ).

cnf(s116,plain,
    ( spl0_3
    | ~ spl0_6
    | ~ spl0_27
    | spl0_82 ),
    inference(sat_conversion,[],[f1579]) ).

cnf(s119,plain,
    ( ~ spl0_13
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f1612]) ).

cnf(s128,plain,
    ( ~ spl0_11
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f1644]) ).

cnf(s142,plain,
    ( ~ spl0_3
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f1676]) ).

cnf(s158,plain,
    ( ~ spl0_4
    | spl0_11
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f1715]) ).

cnf(s159,plain,
    ( spl0_6
    | spl0_3 ),
    inference(rat,[],[s88,s3,s24]) ).

cnf(s160,plain,
    ~ spl0_82,
    inference(rat,[],[s16,s119,s128]) ).

cnf(s161,plain,
    spl0_3,
    inference(rat,[],[s116,s159,s24,s160]) ).

cnf(s163,plain,
    ~ spl0_11,
    inference(rat,[],[s142,s161]) ).

cnf(s164,plain,
    spl0_4,
    inference(rat,[],[s2,s161]) ).

cnf(s165,plain,
    spl0_13,
    inference(rat,[],[s16,s163]) ).

cnf(s166,plain,
    $false,
    inference(rat,[],[s158,s163,s165,s164]) ).

fof(f1716,plain,
    $false,
    inference(avatar_sat_refutation,[],[s166]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HWV033-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n019.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 10:59:34 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.52/1.30  % (2911522)Input is clausal, will run a generic CNF schedule.
% 2.52/1.30  % (2911533)dis-21_1_sil=8000:lcm=predicate:random_seed=3742414572:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.52/1.30  % (2911527)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=369661698:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.52/1.30  % (2911532)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3399458397:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.52/1.30  % (2911528)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3427407248:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.52/1.30  % (2911529)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4195380419:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.52/1.30  % (2911530)lrs+10_1_sil=8000:sp=occurrence:random_seed=456977415:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.52/1.30  % (2911531)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2711287296:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.52/1.30  % (2911533)Instruction limit reached! 
% 2.52/1.30  % (2911533)------------------------------
% 2.52/1.30  % (2911533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/1.30  % (2911533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.30  % (2911533)CaDiCaL version: 2.1.3
% 2.52/1.30  % (2911533)Termination reason: Instruction limit
% 2.52/1.30  % (2911533)Termination phase: Saturation
% 2.52/1.30  % (2911533)Time elapsed: 0.040 s
% 2.52/1.30  % (2911533)Peak memory usage: 88 MB
% 2.52/1.30  % (2911533)Instructions burned: 132 (million)
% 2.52/1.30  % (2911531)First to succeed.
% 2.52/1.30  % (2911531)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2911522"
% 2.52/1.30  % (2911530)Instruction limit reached! 
% 2.52/1.30  % (2911530)------------------------------
% 2.52/1.30  % (2911530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/1.30  % (2911530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.30  % (2911530)CaDiCaL version: 2.1.3
% 2.52/1.30  % (2911530)Termination reason: Instruction limit
% 2.52/1.30  % (2911530)Termination phase: Saturation
% 2.52/1.30  % (2911530)Time elapsed: 0.069 s
% 2.52/1.30  % (2911530)Peak memory usage: 88 MB
% 2.52/1.30  % (2911530)Instructions burned: 108 (million)
% 2.52/1.30  % (2911541)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3920991204:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.52/1.30  % (2911532)Instruction limit reached! 
% 2.52/1.30  % (2911532)------------------------------
% 2.52/1.30  % (2911532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/1.30  % (2911532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.30  % (2911532)CaDiCaL version: 2.1.3
% 2.52/1.30  % (2911532)Termination reason: Instruction limit
% 2.52/1.30  % (2911532)Termination phase: Saturation
% 2.52/1.30  % (2911532)Time elapsed: 0.131 s
% 2.52/1.30  % (2911532)Peak memory usage: 90 MB
% 2.52/1.30  % (2911532)Instructions burned: 181 (million)
% 2.52/1.30  % (2911541)Also succeeded, but the first one will report.
% 2.52/1.30  % (2911542)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4066373465:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.52/1.30  % (2911542)Also succeeded, but the first one will report.
% 2.52/1.30  % (2911544)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3308277521:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.52/1.30  % (2911531)Refutation found. Thanks to Tanya!
% 2.52/1.30  % SZS status Unsatisfiable for theBenchmark
% 2.52/1.30  % SZS output start Proof for theBenchmark
% See solution above
% 3.71/1.49  % (2911531)------------------------------
% 3.71/1.49  % (2911531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.49  % (2911531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.49  % (2911531)CaDiCaL version: 2.1.3
% 3.71/1.49  % (2911531)Termination reason: Refutation
% 3.71/1.49  % (2911531)Time elapsed: 0.039 s
% 3.71/1.49  % (2911531)Peak memory usage: 90 MB
% 3.71/1.49  % (2911531)Instructions burned: 50 (million)
% 3.71/1.49  % (2911531)------------------------------
% 3.71/1.49  % (2911531)------------------------------
% 3.71/1.49  % (2911522)Success in time 0.451 s
% 3.71/1.49  % Vampire exiting
%------------------------------------------------------------------------------