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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : HWV007-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n011.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 10:58:53 AM UTC 2026

% Result   : Unsatisfiable 0.17s 0.49s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   73
% Syntax   : Number of formulae    :  283 (  78 unt;  26 def)
%            Number of atoms       :  567 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  538 ( 254   ~; 258   |;   0   &)
%                                         (  26 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   32 (  31 usr;  27 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  13 con; 0-2 aty)
%            Number of variables   :   68 (   0 sgn  68   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ value(X0,X2)
      | ~ connection(X0,X1)
      | value(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',value_propagation1) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ~ value(X1,X2)
      | ~ connection(X0,X1)
      | value(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',value_propagation2) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ value(X0,X1)
      | ~ value(X0,X2)
      | equal_value(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',unique_value) ).

fof(f4,axiom,
    ~ equal_value(n0,n1),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',equal_value1) ).

fof(f5,axiom,
    ~ equal_value(n1,n0),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',equal_value2) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ type(X0,X1)
      | mode(X0,ok)
      | mode(X0,abnormal) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',ok_or_abnormal) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ type(X0,and)
      | ~ mode(X0,ok)
      | ~ value(in(X1,X0),n0)
      | value(out(n1,X0),n0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',and_0x_0) ).

fof(f9,axiom,
    ! [X0] :
      ( ~ type(X0,and)
      | ~ mode(X0,ok)
      | ~ value(in(n1,X0),n1)
      | ~ value(in(n2,X0),n1)
      | value(out(n1,X0),n1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',and_11_1) ).

fof(f10,axiom,
    ! [X0] :
      ( ~ type(X0,and)
      | ~ mode(X0,ok)
      | ~ value(out(n1,X0),n0)
      | value(in(n1,X0),n0)
      | value(in(n2,X0),n0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',and_0_00) ).

fof(f11,axiom,
    ! [X0] :
      ( ~ type(X0,and)
      | ~ mode(X0,ok)
      | ~ value(out(n1,X0),n1)
      | value(in(n1,X0),n1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',and_1_1x) ).

fof(f15,axiom,
    ! [X0] :
      ( ~ type(X0,or)
      | ~ mode(X0,ok)
      | ~ value(out(n1,X0),n1)
      | value(in(n1,X0),n1)
      | value(in(n2,X0),n1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',or_1_11) ).

fof(f17,axiom,
    ! [X0] :
      ( ~ type(X0,or)
      | ~ mode(X0,ok)
      | ~ value(out(n1,X0),n0)
      | value(in(n2,X0),n0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',or_0_01) ).

fof(f19,axiom,
    ! [X0] :
      ( ~ type(X0,not)
      | ~ mode(X0,ok)
      | ~ value(in(n1,X0),n1)
      | value(out(n1,X0),n0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',not_1_0_fw) ).

fof(f22,axiom,
    ! [X0] :
      ( ~ type(X0,halfadder)
      | type(and1(X0),and) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_and1) ).

fof(f23,axiom,
    ! [X0] :
      ( ~ type(X0,halfadder)
      | type(and2(X0),and) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_and2) ).

fof(f24,axiom,
    ! [X0] :
      ( ~ type(X0,halfadder)
      | type(not1(X0),not) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_not1) ).

fof(f25,axiom,
    ! [X0] :
      ( ~ type(X0,halfadder)
      | type(or1(X0),or) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_or1) ).

fof(f26,axiom,
    ! [X0] :
      ( ~ type(X0,halfadder)
      | connection(in(n1,X0),in(n1,or1(X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in1_in1or1) ).

fof(f27,axiom,
    ! [X0] :
      ( ~ type(X0,halfadder)
      | connection(in(n2,X0),in(n2,or1(X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in2_in2or1) ).

fof(f28,axiom,
    ! [X0] :
      ( ~ type(X0,halfadder)
      | connection(in(n1,X0),in(n1,and2(X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in1_in1and2) ).

fof(f29,axiom,
    ! [X0] :
      ( ~ type(X0,halfadder)
      | connection(in(n2,X0),in(n2,and2(X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in2_in2and2) ).

fof(f30,axiom,
    ! [X0] :
      ( ~ type(X0,halfadder)
      | connection(out(s,X0),out(n1,and1(X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_outs_out1and1) ).

fof(f31,axiom,
    ! [X0] :
      ( ~ type(X0,halfadder)
      | connection(out(c,X0),out(n1,and2(X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_outc_out1and2) ).

fof(f32,axiom,
    ! [X0] :
      ( ~ type(X0,halfadder)
      | connection(out(n1,or1(X0)),in(n1,and1(X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_out1or1_in1_and1) ).

fof(f33,axiom,
    ! [X0] :
      ( ~ type(X0,halfadder)
      | connection(out(n1,and2(X0)),in(n1,not1(X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_out1and2_in1not1) ).

fof(f34,axiom,
    ! [X0] :
      ( ~ type(X0,halfadder)
      | connection(out(n1,not1(X0)),in(n2,and1(X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_out1not1_in2and1) ).

fof(f35,axiom,
    ! [X0] :
      ( ~ type(X0,fulladder)
      | type(h1(X0),halfadder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_halfadder1) ).

fof(f36,axiom,
    ! [X0] :
      ( ~ type(X0,fulladder)
      | type(h2(X0),halfadder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_halfadder2) ).

fof(f37,axiom,
    ! [X0] :
      ( ~ type(X0,fulladder)
      | type(or1(X0),or) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_or1) ).

fof(f38,axiom,
    ! [X0] :
      ( ~ type(X0,fulladder)
      | connection(out(s,h1(X0)),in(n2,h2(X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outsh1_in2h2) ).

fof(f39,axiom,
    ! [X0] :
      ( ~ type(X0,fulladder)
      | connection(out(c,h1(X0)),in(n2,or1(X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outch1_in2or1) ).

fof(f41,axiom,
    ! [X0] :
      ( ~ type(X0,fulladder)
      | connection(in(n1,X0),in(n1,h2(X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_in1_in1h2) ).

fof(f42,axiom,
    ! [X0] :
      ( ~ type(X0,fulladder)
      | connection(in(n2,X0),in(n1,h1(X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_in2_in1h1) ).

fof(f43,axiom,
    ! [X0] :
      ( ~ type(X0,fulladder)
      | connection(in(c,X0),in(n2,h1(X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_inc_in2h1) ).

fof(f44,axiom,
    ! [X0] :
      ( ~ type(X0,fulladder)
      | connection(out(s,X0),out(s,h2(X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outs_outsh2) ).

fof(f45,axiom,
    ! [X0] :
      ( ~ type(X0,fulladder)
      | connection(out(c,X0),out(n1,or1(X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outc_out1or1) ).

fof(f46,axiom,
    type(f,fulladder),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_isa_fulladder) ).

fof(f47,axiom,
    value(in(n1,f),n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in1_1) ).

fof(f48,axiom,
    value(in(n2,f),n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in2_0) ).

fof(f49,axiom,
    value(in(c,f),n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inc_1) ).

fof(f50,axiom,
    value(out(s,f),n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outs_1) ).

fof(f51,axiom,
    value(out(c,f),n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).

fof(f52,negated_conjecture,
    ~ mode(and2(h1(f)),abnormal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h1) ).

fof(f53,negated_conjecture,
    ( ~ mode(or1(f),abnormal)
    | ~ mode(and1(h1(f)),abnormal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h1) ).

fof(f54,negated_conjecture,
    ( ~ mode(or1(f),abnormal)
    | ~ mode(not1(h1(f)),abnormal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_not1h1) ).

fof(f55,negated_conjecture,
    ( ~ mode(or1(f),abnormal)
    | ~ mode(and1(h2(f)),abnormal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).

fof(f56,negated_conjecture,
    ( ~ mode(or1(f),abnormal)
    | ~ mode(or1(h2(f)),abnormal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_or1h2) ).

fof(f58,definition,
    ( spl0_1
  <=> mode(or1(h2(f)),abnormal) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f62,definition,
    ( spl0_2
  <=> mode(or1(f),abnormal) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f64,plain,
    ( ~ mode(or1(f),abnormal)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f65,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f56,f62,f58]) ).

fof(f67,definition,
    ( spl0_3
  <=> mode(and1(h2(f)),abnormal) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f70,plain,
    ( ~ spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f55,f62,f67]) ).

fof(f72,definition,
    ( spl0_4
  <=> mode(not1(h1(f)),abnormal) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f75,plain,
    ( ~ spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f54,f62,f72]) ).

fof(f77,definition,
    ( spl0_5
  <=> mode(and1(h1(f)),abnormal) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f80,plain,
    ( ~ spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f53,f62,f77]) ).

fof(f81,plain,
    type(h1(f),halfadder),
    inference(resolution,[],[f35,f46]) ).

fof(f83,plain,
    type(not1(h1(f)),not),
    inference(resolution,[],[f81,f24]) ).

fof(f84,plain,
    type(and2(h1(f)),and),
    inference(resolution,[],[f81,f23]) ).

fof(f85,plain,
    type(and1(h1(f)),and),
    inference(resolution,[],[f81,f22]) ).

fof(f86,plain,
    type(h2(f),halfadder),
    inference(resolution,[],[f36,f46]) ).

fof(f87,plain,
    type(or1(h2(f)),or),
    inference(resolution,[],[f86,f25]) ).

fof(f90,plain,
    type(and1(h2(f)),and),
    inference(resolution,[],[f86,f22]) ).

fof(f91,plain,
    type(or1(f),or),
    inference(resolution,[],[f37,f46]) ).

fof(f92,plain,
    ! [X0] :
      ( ~ connection(in(n1,f),X0)
      | value(X0,n0) ),
    inference(resolution,[],[f1,f47]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ connection(in(n2,f),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f1,f48]) ).

fof(f94,plain,
    ! [X0] :
      ( ~ connection(in(c,f),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f1,f49]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ connection(out(s,f),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f1,f50]) ).

fof(f96,plain,
    ! [X0] :
      ( ~ connection(out(c,f),X0)
      | value(X0,n0) ),
    inference(resolution,[],[f1,f51]) ).

fof(f107,plain,
    ( mode(and2(h1(f)),ok)
    | mode(and2(h1(f)),abnormal) ),
    inference(resolution,[],[f7,f84]) ).

fof(f108,plain,
    ( mode(not1(h1(f)),ok)
    | mode(not1(h1(f)),abnormal) ),
    inference(resolution,[],[f7,f83]) ).

fof(f109,plain,
    ( mode(or1(f),ok)
    | mode(or1(f),abnormal) ),
    inference(resolution,[],[f7,f91]) ).

fof(f150,plain,
    ( mode(or1(f),ok)
    | spl0_2 ),
    inference(forward_subsumption_resolution,[],[f109,f64]) ).

fof(f152,definition,
    ( spl0_14
  <=> mode(not1(h1(f)),ok) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f154,plain,
    ( mode(not1(h1(f)),ok)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f155,plain,
    ( spl0_4
    | spl0_14 ),
    inference(avatar_split_clause,[],[f108,f152,f72]) ).

fof(f156,plain,
    mode(and2(h1(f)),ok),
    inference(forward_subsumption_resolution,[],[f107,f52]) ).

fof(f160,plain,
    connection(in(n1,h2(f)),in(n1,or1(h2(f)))),
    inference(resolution,[],[f26,f86]) ).

fof(f164,plain,
    connection(in(n2,h2(f)),in(n2,or1(h2(f)))),
    inference(resolution,[],[f27,f86]) ).

fof(f165,plain,
    connection(in(n1,h1(f)),in(n1,and2(h1(f)))),
    inference(resolution,[],[f28,f81]) ).

fof(f169,plain,
    connection(in(n2,h1(f)),in(n2,and2(h1(f)))),
    inference(resolution,[],[f29,f81]) ).

fof(f171,plain,
    connection(out(s,h1(f)),out(n1,and1(h1(f)))),
    inference(resolution,[],[f30,f81]) ).

fof(f172,plain,
    connection(out(s,h2(f)),out(n1,and1(h2(f)))),
    inference(resolution,[],[f30,f86]) ).

fof(f175,plain,
    connection(out(c,h1(f)),out(n1,and2(h1(f)))),
    inference(resolution,[],[f31,f81]) ).

fof(f177,plain,
    connection(in(n1,f),in(n1,h2(f))),
    inference(resolution,[],[f41,f46]) ).

fof(f178,plain,
    ( mode(and1(h1(f)),ok)
    | mode(and1(h1(f)),abnormal) ),
    inference(resolution,[],[f85,f7]) ).

fof(f180,definition,
    ( spl0_15
  <=> mode(and1(h1(f)),ok) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f182,plain,
    ( mode(and1(h1(f)),ok)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f183,plain,
    ( spl0_5
    | spl0_15 ),
    inference(avatar_split_clause,[],[f178,f180,f77]) ).

fof(f186,plain,
    ( mode(or1(h2(f)),ok)
    | mode(or1(h2(f)),abnormal) ),
    inference(resolution,[],[f87,f7]) ).

fof(f188,definition,
    ( spl0_16
  <=> mode(or1(h2(f)),ok) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f190,plain,
    ( mode(or1(h2(f)),ok)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f191,plain,
    ( spl0_1
    | spl0_16 ),
    inference(avatar_split_clause,[],[f186,f188,f58]) ).

fof(f204,plain,
    connection(in(n2,f),in(n1,h1(f))),
    inference(resolution,[],[f42,f46]) ).

fof(f215,plain,
    connection(in(c,f),in(n2,h1(f))),
    inference(resolution,[],[f43,f46]) ).

fof(f216,plain,
    ( mode(and1(h2(f)),ok)
    | mode(and1(h2(f)),abnormal) ),
    inference(resolution,[],[f90,f7]) ).

fof(f218,definition,
    ( spl0_21
  <=> mode(and1(h2(f)),ok) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f220,plain,
    ( mode(and1(h2(f)),ok)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f221,plain,
    ( spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f216,f218,f67]) ).

fof(f226,plain,
    connection(out(s,f),out(s,h2(f))),
    inference(resolution,[],[f44,f46]) ).

fof(f227,plain,
    connection(out(c,f),out(n1,or1(f))),
    inference(resolution,[],[f45,f46]) ).

fof(f229,plain,
    connection(out(n1,or1(h2(f))),in(n1,and1(h2(f)))),
    inference(resolution,[],[f32,f86]) ).

fof(f230,plain,
    connection(out(n1,and2(h1(f))),in(n1,not1(h1(f)))),
    inference(resolution,[],[f33,f81]) ).

fof(f232,plain,
    connection(out(n1,not1(h1(f))),in(n2,and1(h1(f)))),
    inference(resolution,[],[f34,f81]) ).

fof(f236,plain,
    connection(out(s,h1(f)),in(n2,h2(f))),
    inference(resolution,[],[f38,f46]) ).

fof(f237,plain,
    connection(out(c,h1(f)),in(n2,or1(f))),
    inference(resolution,[],[f39,f46]) ).

fof(f241,plain,
    ! [X0] :
      ( ~ mode(and1(h1(f)),ok)
      | ~ value(in(X0,and1(h1(f))),n0)
      | value(out(n1,and1(h1(f))),n0) ),
    inference(resolution,[],[f8,f85]) ).

fof(f247,definition,
    ( spl0_22
  <=> value(out(n1,and2(h1(f))),n0) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f248,plain,
    ( ~ value(out(n1,and2(h1(f))),n0)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f249,plain,
    ( value(out(n1,and2(h1(f))),n0)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f258,plain,
    ( ~ mode(and1(h2(f)),ok)
    | ~ value(out(n1,and1(h2(f))),n1)
    | value(in(n1,and1(h2(f))),n1) ),
    inference(resolution,[],[f11,f90]) ).

fof(f263,definition,
    ( spl0_24
  <=> value(in(n1,and2(h1(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f264,plain,
    ( ~ value(in(n1,and2(h1(f))),n1)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f265,plain,
    ( value(in(n1,and2(h1(f))),n1)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f267,definition,
    ( spl0_25
  <=> value(out(n1,and2(h1(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f268,plain,
    ( value(out(n1,and2(h1(f))),n1)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f269,plain,
    ( ~ value(out(n1,and2(h1(f))),n1)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f297,definition,
    ( spl0_29
  <=> value(out(n1,or1(f)),n0) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f298,plain,
    ( value(out(n1,or1(f)),n0)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f299,plain,
    ( ~ value(out(n1,or1(f)),n0)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f304,plain,
    ( ~ mode(or1(f),ok)
    | ~ value(out(n1,or1(f)),n0)
    | value(in(n2,or1(f)),n0) ),
    inference(resolution,[],[f17,f91]) ).

fof(f310,plain,
    ( ~ mode(not1(h1(f)),ok)
    | ~ value(in(n1,not1(h1(f))),n1)
    | value(out(n1,not1(h1(f))),n0) ),
    inference(resolution,[],[f19,f83]) ).

fof(f318,plain,
    ( ~ mode(and2(h1(f)),ok)
    | ~ value(in(n1,and2(h1(f))),n1)
    | ~ value(in(n2,and2(h1(f))),n1)
    | value(out(n1,and2(h1(f))),n1) ),
    inference(resolution,[],[f9,f84]) ).

fof(f320,plain,
    ( ~ value(in(n1,and2(h1(f))),n1)
    | ~ value(in(n2,and2(h1(f))),n1)
    | value(out(n1,and2(h1(f))),n1) ),
    inference(forward_subsumption_resolution,[],[f318,f156]) ).

fof(f321,plain,
    ( ~ value(in(n1,and2(h1(f))),n1)
    | ~ value(in(n2,and2(h1(f))),n1)
    | spl0_25 ),
    inference(forward_subsumption_resolution,[],[f320,f269]) ).

fof(f323,definition,
    ( spl0_30
  <=> value(in(n2,and2(h1(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f325,plain,
    ( ~ value(in(n2,and2(h1(f))),n1)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f326,plain,
    ( ~ spl0_30
    | ~ spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f321,f267,f263,f323]) ).

fof(f329,plain,
    ( ~ mode(and2(h1(f)),ok)
    | ~ value(out(n1,and2(h1(f))),n0)
    | value(in(n1,and2(h1(f))),n0)
    | value(in(n2,and2(h1(f))),n0) ),
    inference(resolution,[],[f10,f84]) ).

fof(f331,plain,
    ( ~ value(out(n1,and2(h1(f))),n0)
    | value(in(n1,and2(h1(f))),n0)
    | value(in(n2,and2(h1(f))),n0) ),
    inference(forward_subsumption_resolution,[],[f329,f156]) ).

fof(f332,plain,
    ( value(in(n1,and2(h1(f))),n0)
    | value(in(n2,and2(h1(f))),n0)
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f331,f249]) ).

fof(f334,definition,
    ( spl0_31
  <=> value(in(n2,and2(h1(f))),n0) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f336,plain,
    ( value(in(n2,and2(h1(f))),n0)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f338,definition,
    ( spl0_32
  <=> value(in(n1,and2(h1(f))),n0) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f340,plain,
    ( value(in(n1,and2(h1(f))),n0)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f341,plain,
    ( spl0_31
    | spl0_32
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f332,f247,f338,f334]) ).

fof(f348,definition,
    ( spl0_33
  <=> value(in(n2,or1(f)),n0) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f349,plain,
    ( value(in(n2,or1(f)),n0)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f354,plain,
    ( ~ mode(or1(h2(f)),ok)
    | ~ value(out(n1,or1(h2(f))),n1)
    | value(in(n1,or1(h2(f))),n1)
    | value(in(n2,or1(h2(f))),n1) ),
    inference(resolution,[],[f15,f87]) ).

fof(f371,plain,
    value(in(n1,h2(f)),n0),
    inference(resolution,[],[f177,f92]) ).

fof(f374,plain,
    ! [X0] :
      ( ~ connection(in(n1,h2(f)),X0)
      | value(X0,n0) ),
    inference(resolution,[],[f371,f1]) ).

fof(f375,plain,
    value(in(n1,h1(f)),n1),
    inference(resolution,[],[f204,f93]) ).

fof(f378,plain,
    ! [X0] :
      ( ~ connection(in(n1,h1(f)),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f375,f1]) ).

fof(f379,plain,
    value(in(n2,h1(f)),n1),
    inference(resolution,[],[f215,f94]) ).

fof(f380,plain,
    ! [X0] :
      ( ~ value(in(n2,h1(f)),X0)
      | equal_value(n1,X0) ),
    inference(resolution,[],[f379,f3]) ).

fof(f382,plain,
    ! [X0] :
      ( ~ connection(in(n2,h1(f)),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f379,f1]) ).

fof(f383,plain,
    value(out(s,h2(f)),n1),
    inference(resolution,[],[f226,f95]) ).

fof(f386,plain,
    ! [X0] :
      ( ~ connection(out(s,h2(f)),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f383,f1]) ).

fof(f387,plain,
    value(out(n1,or1(f)),n0),
    inference(resolution,[],[f227,f96]) ).

fof(f388,plain,
    ( $false
    | spl0_29 ),
    inference(forward_subsumption_resolution,[],[f387,f299]) ).

fof(f389,plain,
    spl0_29,
    inference(avatar_contradiction_clause,[],[f388]) ).

fof(f390,plain,
    ( ~ value(out(n1,or1(f)),n0)
    | value(in(n2,or1(f)),n0)
    | spl0_2 ),
    inference(forward_subsumption_resolution,[],[f304,f150]) ).

fof(f391,plain,
    ( value(in(n2,or1(f)),n0)
    | spl0_2
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f390,f298]) ).

fof(f392,plain,
    ( spl0_33
    | spl0_2
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f391,f297,f62,f348]) ).

fof(f400,plain,
    ( ! [X0] :
        ( ~ connection(X0,in(n2,or1(f)))
        | value(X0,n0) )
    | ~ spl0_33 ),
    inference(resolution,[],[f349,f2]) ).

fof(f410,plain,
    ( value(out(c,h1(f)),n0)
    | ~ spl0_33 ),
    inference(resolution,[],[f400,f237]) ).

fof(f413,plain,
    ( ! [X0] :
        ( ~ connection(out(c,h1(f)),X0)
        | value(X0,n0) )
    | ~ spl0_33 ),
    inference(resolution,[],[f410,f1]) ).

fof(f421,plain,
    ( value(out(n1,and2(h1(f))),n0)
    | ~ spl0_33 ),
    inference(resolution,[],[f413,f175]) ).

fof(f423,plain,
    ( $false
    | spl0_22
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f421,f248]) ).

fof(f424,plain,
    ( spl0_22
    | ~ spl0_33 ),
    inference(avatar_contradiction_clause,[],[f423]) ).

fof(f435,plain,
    ( ! [X0] :
        ( ~ connection(X0,in(n2,and2(h1(f))))
        | value(X0,n0) )
    | ~ spl0_31 ),
    inference(resolution,[],[f336,f2]) ).

fof(f442,plain,
    value(in(n1,or1(h2(f))),n0),
    inference(resolution,[],[f374,f160]) ).

fof(f450,plain,
    ( value(in(n2,h1(f)),n0)
    | ~ spl0_31 ),
    inference(resolution,[],[f435,f169]) ).

fof(f452,plain,
    value(in(n1,and2(h1(f))),n1),
    inference(resolution,[],[f378,f165]) ).

fof(f453,plain,
    ( $false
    | spl0_24 ),
    inference(forward_subsumption_resolution,[],[f452,f264]) ).

fof(f454,plain,
    spl0_24,
    inference(avatar_contradiction_clause,[],[f453]) ).

fof(f458,plain,
    ( ! [X0] :
        ( ~ value(in(n1,and2(h1(f))),X0)
        | equal_value(n1,X0) )
    | ~ spl0_24 ),
    inference(resolution,[],[f265,f3]) ).

fof(f462,plain,
    ( equal_value(n1,n0)
    | ~ spl0_31 ),
    inference(resolution,[],[f380,f450]) ).

fof(f463,plain,
    ( $false
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f462,f5]) ).

fof(f464,plain,
    ~ spl0_31,
    inference(avatar_contradiction_clause,[],[f463]) ).

fof(f469,plain,
    ( equal_value(n1,n0)
    | ~ spl0_24
    | ~ spl0_32 ),
    inference(resolution,[],[f458,f340]) ).

fof(f470,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f469,f5]) ).

fof(f471,plain,
    ( ~ spl0_24
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f470]) ).

fof(f473,plain,
    ( ~ value(out(n1,and1(h2(f))),n1)
    | value(in(n1,and1(h2(f))),n1)
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f258,f220]) ).

fof(f480,plain,
    ( ~ value(out(n1,or1(h2(f))),n1)
    | value(in(n1,or1(h2(f))),n1)
    | value(in(n2,or1(h2(f))),n1)
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f354,f190]) ).

fof(f481,plain,
    ( ! [X0] :
        ( ~ value(in(X0,and1(h1(f))),n0)
        | value(out(n1,and1(h1(f))),n0) )
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f241,f182]) ).

fof(f487,plain,
    ( ~ value(in(n1,not1(h1(f))),n1)
    | value(out(n1,not1(h1(f))),n0)
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f310,f154]) ).

fof(f500,definition,
    ( spl0_38
  <=> value(in(n1,and1(h2(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f502,plain,
    ( value(in(n1,and1(h2(f))),n1)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f504,definition,
    ( spl0_39
  <=> value(out(n1,and1(h2(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f506,plain,
    ( ~ value(out(n1,and1(h2(f))),n1)
    | spl0_39 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f507,plain,
    ( spl0_38
    | ~ spl0_39
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f473,f218,f504,f500]) ).

fof(f524,definition,
    ( spl0_43
  <=> value(out(n1,or1(h2(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f525,plain,
    ( ~ value(out(n1,or1(h2(f))),n1)
    | spl0_43 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f542,definition,
    ( spl0_47
  <=> value(in(n2,or1(h2(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f544,plain,
    ( value(in(n2,or1(h2(f))),n1)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f546,definition,
    ( spl0_48
  <=> value(in(n1,or1(h2(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f548,plain,
    ( value(in(n1,or1(h2(f))),n1)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f549,plain,
    ( spl0_47
    | spl0_48
    | ~ spl0_43
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f480,f188,f524,f546,f542]) ).

fof(f551,definition,
    ( spl0_49
  <=> value(out(n1,and1(h1(f))),n0) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f553,plain,
    ( value(out(n1,and1(h1(f))),n0)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f555,definition,
    ( spl0_50
  <=> ! [X0] : ~ value(in(X0,and1(h1(f))),n0) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f556,plain,
    ( ! [X0] : ~ value(in(X0,and1(h1(f))),n0)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f557,plain,
    ( spl0_49
    | spl0_50
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f481,f180,f555,f551]) ).

fof(f592,definition,
    ( spl0_58
  <=> value(out(n1,not1(h1(f))),n0) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f594,plain,
    ( value(out(n1,not1(h1(f))),n0)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f596,definition,
    ( spl0_59
  <=> value(in(n1,not1(h1(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f598,plain,
    ( ~ value(in(n1,not1(h1(f))),n1)
    | spl0_59 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f599,plain,
    ( spl0_58
    | ~ spl0_59
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f487,f152,f596,f592]) ).

fof(f619,plain,
    value(in(n2,and2(h1(f))),n1),
    inference(resolution,[],[f382,f169]) ).

fof(f620,plain,
    ( $false
    | spl0_30 ),
    inference(forward_subsumption_resolution,[],[f619,f325]) ).

fof(f621,plain,
    spl0_30,
    inference(avatar_contradiction_clause,[],[f620]) ).

fof(f624,plain,
    ( ! [X0] :
        ( ~ connection(out(n1,and2(h1(f))),X0)
        | value(X0,n1) )
    | ~ spl0_25 ),
    inference(resolution,[],[f268,f1]) ).

fof(f635,plain,
    value(out(n1,and1(h2(f))),n1),
    inference(resolution,[],[f386,f172]) ).

fof(f636,plain,
    ( $false
    | spl0_39 ),
    inference(forward_subsumption_resolution,[],[f635,f506]) ).

fof(f637,plain,
    spl0_39,
    inference(avatar_contradiction_clause,[],[f636]) ).

fof(f640,plain,
    ( ! [X0] :
        ( ~ connection(X0,in(n1,and1(h2(f))))
        | value(X0,n1) )
    | ~ spl0_38 ),
    inference(resolution,[],[f502,f2]) ).

fof(f658,plain,
    ( value(in(n1,not1(h1(f))),n1)
    | ~ spl0_25 ),
    inference(resolution,[],[f624,f230]) ).

fof(f659,plain,
    ( $false
    | ~ spl0_25
    | spl0_59 ),
    inference(forward_subsumption_resolution,[],[f658,f598]) ).

fof(f660,plain,
    ( ~ spl0_25
    | spl0_59 ),
    inference(avatar_contradiction_clause,[],[f659]) ).

fof(f663,plain,
    ( ! [X0] :
        ( ~ connection(out(n1,not1(h1(f))),X0)
        | value(X0,n0) )
    | ~ spl0_58 ),
    inference(resolution,[],[f594,f1]) ).

fof(f679,plain,
    ( value(out(n1,or1(h2(f))),n1)
    | ~ spl0_38 ),
    inference(resolution,[],[f640,f229]) ).

fof(f680,plain,
    ( $false
    | ~ spl0_38
    | spl0_43 ),
    inference(forward_subsumption_resolution,[],[f679,f525]) ).

fof(f681,plain,
    ( ~ spl0_38
    | spl0_43 ),
    inference(avatar_contradiction_clause,[],[f680]) ).

fof(f688,plain,
    ( ! [X0] :
        ( ~ connection(X0,in(n2,or1(h2(f))))
        | value(X0,n1) )
    | ~ spl0_47 ),
    inference(resolution,[],[f544,f2]) ).

fof(f698,plain,
    ( value(in(n2,and1(h1(f))),n0)
    | ~ spl0_58 ),
    inference(resolution,[],[f663,f232]) ).

fof(f699,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[],[f698,f556]) ).

fof(f700,plain,
    ( ~ spl0_50
    | ~ spl0_58 ),
    inference(avatar_contradiction_clause,[],[f699]) ).

fof(f702,plain,
    ( ! [X0] :
        ( ~ connection(X0,out(n1,and1(h1(f))))
        | value(X0,n0) )
    | ~ spl0_49 ),
    inference(resolution,[],[f553,f2]) ).

fof(f712,plain,
    ( value(in(n2,h2(f)),n1)
    | ~ spl0_47 ),
    inference(resolution,[],[f688,f164]) ).

fof(f714,plain,
    ( ! [X0] :
        ( ~ connection(X0,in(n2,h2(f)))
        | value(X0,n1) )
    | ~ spl0_47 ),
    inference(resolution,[],[f712,f2]) ).

fof(f718,plain,
    ( value(out(s,h1(f)),n1)
    | ~ spl0_47 ),
    inference(resolution,[],[f714,f236]) ).

fof(f719,plain,
    ( value(out(s,h1(f)),n0)
    | ~ spl0_49 ),
    inference(resolution,[],[f702,f171]) ).

fof(f720,plain,
    ( ! [X0] :
        ( ~ value(out(s,h1(f)),X0)
        | equal_value(n0,X0) )
    | ~ spl0_49 ),
    inference(resolution,[],[f719,f3]) ).

fof(f733,plain,
    ( equal_value(n0,n1)
    | ~ spl0_47
    | ~ spl0_49 ),
    inference(resolution,[],[f720,f718]) ).

fof(f735,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f733,f4]) ).

fof(f736,plain,
    ( ~ spl0_47
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f735]) ).

fof(f737,plain,
    ( ! [X0] :
        ( ~ value(in(n1,or1(h2(f))),X0)
        | equal_value(n1,X0) )
    | ~ spl0_48 ),
    inference(resolution,[],[f548,f3]) ).

fof(f740,plain,
    ( equal_value(n1,n0)
    | ~ spl0_48 ),
    inference(resolution,[],[f737,f442]) ).

fof(f742,plain,
    ( $false
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f740,f5]) ).

fof(f743,plain,
    ~ spl0_48,
    inference(avatar_contradiction_clause,[],[f742]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f65]) ).

cnf(s2,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f70]) ).

cnf(s3,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f75]) ).

cnf(s4,plain,
    ( ~ spl0_2
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f80]) ).

cnf(s9,plain,
    ( spl0_4
    | spl0_14 ),
    inference(sat_conversion,[],[f155]) ).

cnf(s14,plain,
    ( spl0_5
    | spl0_15 ),
    inference(sat_conversion,[],[f183]) ).

cnf(s16,plain,
    ( spl0_1
    | spl0_16 ),
    inference(sat_conversion,[],[f191]) ).

cnf(s20,plain,
    ( spl0_3
    | spl0_21 ),
    inference(sat_conversion,[],[f221]) ).

cnf(s29,plain,
    ( ~ spl0_24
    | spl0_25
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f326]) ).

cnf(s30,plain,
    ( ~ spl0_22
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f341]) ).

cnf(s33,plain,
    spl0_29,
    inference(sat_conversion,[],[f389]) ).

cnf(s34,plain,
    ( spl0_2
    | ~ spl0_29
    | spl0_33 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s35,plain,
    ( spl0_22
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s38,plain,
    spl0_24,
    inference(sat_conversion,[],[f454]) ).

cnf(s39,plain,
    ~ spl0_31,
    inference(sat_conversion,[],[f464]) ).

cnf(s40,plain,
    ( ~ spl0_24
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s42,plain,
    ( ~ spl0_21
    | spl0_38
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s48,plain,
    ( ~ spl0_16
    | ~ spl0_43
    | spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s49,plain,
    ( ~ spl0_15
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s55,plain,
    ( ~ spl0_14
    | spl0_58
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s59,plain,
    spl0_30,
    inference(sat_conversion,[],[f621]) ).

cnf(s60,plain,
    spl0_39,
    inference(sat_conversion,[],[f637]) ).

cnf(s63,plain,
    ( ~ spl0_25
    | spl0_59 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s64,plain,
    ( ~ spl0_38
    | spl0_43 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s66,plain,
    ( ~ spl0_50
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s67,plain,
    ( ~ spl0_47
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s68,plain,
    ~ spl0_48,
    inference(sat_conversion,[],[f743]) ).

cnf(s69,plain,
    ( ~ spl0_16
    | ~ spl0_43
    | spl0_47 ),
    inference(rat,[],[s48,s68]) ).

cnf(s71,plain,
    ( ~ spl0_21
    | spl0_38 ),
    inference(rat,[],[s42,s60]) ).

cnf(s72,plain,
    ~ spl0_32,
    inference(rat,[],[s40,s38]) ).

cnf(s73,plain,
    ~ spl0_22,
    inference(rat,[],[s30,s72,s39]) ).

cnf(s74,plain,
    ~ spl0_33,
    inference(rat,[],[s35,s73]) ).

cnf(s75,plain,
    spl0_2,
    inference(rat,[],[s34,s33,s74]) ).

cnf(s76,plain,
    spl0_25,
    inference(rat,[],[s29,s59,s38]) ).

cnf(s77,plain,
    spl0_59,
    inference(rat,[],[s63,s76]) ).

cnf(s81,plain,
    ~ spl0_5,
    inference(rat,[],[s4,s75]) ).

cnf(s82,plain,
    spl0_15,
    inference(rat,[],[s14,s81]) ).

cnf(s83,plain,
    ~ spl0_4,
    inference(rat,[],[s3,s75]) ).

cnf(s84,plain,
    spl0_14,
    inference(rat,[],[s9,s83]) ).

cnf(s85,plain,
    spl0_58,
    inference(rat,[],[s55,s77,s84]) ).

cnf(s86,plain,
    ~ spl0_50,
    inference(rat,[],[s66,s85]) ).

cnf(s87,plain,
    spl0_49,
    inference(rat,[],[s49,s82,s86]) ).

cnf(s88,plain,
    ~ spl0_47,
    inference(rat,[],[s67,s87]) ).

cnf(s89,plain,
    ~ spl0_3,
    inference(rat,[],[s2,s75]) ).

cnf(s90,plain,
    spl0_21,
    inference(rat,[],[s20,s89]) ).

cnf(s92,plain,
    spl0_38,
    inference(rat,[],[s71,s90]) ).

cnf(s93,plain,
    spl0_43,
    inference(rat,[],[s64,s92]) ).

cnf(s94,plain,
    ~ spl0_16,
    inference(rat,[],[s69,s88,s93]) ).

cnf(s95,plain,
    spl0_1,
    inference(rat,[],[s16,s94]) ).

cnf(s96,plain,
    $false,
    inference(rat,[],[s1,s75,s95]) ).

fof(f744,plain,
    $false,
    inference(avatar_sat_refutation,[],[s96]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HWV007-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41  % Computer : n011.cluster.edu
% 0.11/0.41  % Model    : x86_64 x86_64
% 0.11/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41  % Memory   : 8046.5625MB
% 0.11/0.41  % OS       : Linux 6.8.0-71-generic
% 0.11/0.41  % CPULimit : 300
% 0.11/0.41  % WCLimit  : 300
% 0.11/0.41  % DateTime : Sun Sep 27 10:53:01 UTC 2026
% 0.11/0.41  % CPUTime  : 
% 0.11/0.41  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44  Running first-order model finding
% 0.11/0.44  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.49  % (2220870)Will run a generic schedule for satisfiability detection.
% 0.17/0.49  % (2220879)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1098881805_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.49  % (2220880)% WARNING: option uhcvi not known.
% 0.17/0.49  % TRYING [1]
% 0.17/0.49  % TRYING [2]
% 0.17/0.49  % TRYING [3]
% 0.17/0.49  % (2220881)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2517514282:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.49  % (2220882)dis+10_1_sil=32000:sp=arity:random_seed=2259697456:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.49  % (2220880)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2917137281:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.49  % (2220883)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=99427369:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.49  % (2220884)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1813659086:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.49  % (2220885)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=853827111:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.49  % TRYING [4]
% 0.17/0.49  % (2220884) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2220870-2220884"...
% 0.17/0.49  % (2220883) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2220870-2220883"...
% 0.17/0.49  % (2220882) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2220870-2220882"...
% 0.17/0.49  % (2220884)...printing done.
% 0.17/0.49  % (2220884)Refutation found. Thanks to Tanya!
% 0.17/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49  % (2220884)------------------------------
% 0.17/0.49  % (2220884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49  % (2220884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49  % (2220884)CaDiCaL version: 2.1.3
% 0.17/0.49  % (2220884)Termination reason: Refutation
% 0.17/0.49  % (2220884)Time elapsed: 0.013 s
% 0.17/0.49  % (2220884)Peak memory usage: 12 MB
% 0.17/0.49  % (2220884)Instructions burned: 20 (million)
% 0.17/0.49  % (2220870)Success in time 0.039 s
% 0.17/0.49  % Vampire exiting
%------------------------------------------------------------------------------