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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : HWV006-1 : 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 : n014.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 0.09s 0.46s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   73
% Syntax   : Number of formulae    :  288 (  88 unt;  25 def)
%            Number of atoms       :  555 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  513 ( 246   ~; 242   |;   0   &)
%                                         (  25 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   31 (  30 usr;  26 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  13 con; 0-2 aty)
%            Number of variables   :   71 (   0 sgn  71   !;   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(f12,axiom,
    ! [X0] :
      ( ~ type(X0,and)
      | ~ mode(X0,ok)
      | ~ value(out(n1,X0),n1)
      | value(in(n2,X0),n1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',and_1_x1) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ~ type(X0,or)
      | ~ mode(X0,ok)
      | ~ value(in(X1,X0),n1)
      | value(out(n1,X0),n1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',or_1x_1) ).

fof(f16,axiom,
    ! [X0] :
      ( ~ type(X0,or)
      | ~ mode(X0,ok)
      | ~ value(out(n1,X0),n0)
      | value(in(n1,X0),n0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',or_0_0x) ).

fof(f18,axiom,
    ! [X0] :
      ( ~ type(X0,not)
      | ~ mode(X0,ok)
      | ~ value(in(n1,X0),n0)
      | value(out(n1,X0),n1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',not_0_1_fw) ).

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(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(f40,axiom,
    ! [X0] :
      ( ~ type(X0,fulladder)
      | connection(out(c,h2(X0)),in(n1,or1(X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outch2_in1or1) ).

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),n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in1_1) ).

fof(f48,axiom,
    value(in(n2,f),n0),
    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(or1(f),abnormal)
    | ~ mode(not1(h2(f)),abnormal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_not1h2) ).

fof(f53,negated_conjecture,
    ~ mode(and2(h2(f)),abnormal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2) ).

fof(f54,negated_conjecture,
    ( ~ mode(or1(f),abnormal)
    | ~ mode(and1(h2(f)),abnormal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).

fof(f55,negated_conjecture,
    ~ mode(or1(h1(f)),abnormal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1h1) ).

fof(f56,negated_conjecture,
    ~ mode(not1(h1(f)),abnormal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_not1h1) ).

fof(f57,negated_conjecture,
    ~ mode(and2(h1(f)),abnormal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h1) ).

fof(f58,negated_conjecture,
    ~ mode(and1(h1(f)),abnormal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and1h1) ).

fof(f60,definition,
    ( spl0_1
  <=> mode(and1(h2(f)),abnormal) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f64,definition,
    ( spl0_2
  <=> mode(or1(f),abnormal) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f66,plain,
    ( ~ mode(or1(f),abnormal)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f67,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f54,f64,f60]) ).

fof(f69,definition,
    ( spl0_3
  <=> mode(not1(h2(f)),abnormal) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f72,plain,
    ( ~ spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f52,f64,f69]) ).

fof(f73,plain,
    type(h1(f),halfadder),
    inference(resolution,[],[f35,f46]) ).

fof(f74,plain,
    type(or1(h1(f)),or),
    inference(resolution,[],[f73,f25]) ).

fof(f75,plain,
    type(not1(h1(f)),not),
    inference(resolution,[],[f73,f24]) ).

fof(f76,plain,
    type(and2(h1(f)),and),
    inference(resolution,[],[f73,f23]) ).

fof(f77,plain,
    type(and1(h1(f)),and),
    inference(resolution,[],[f73,f22]) ).

fof(f78,plain,
    type(h2(f),halfadder),
    inference(resolution,[],[f36,f46]) ).

fof(f80,plain,
    type(not1(h2(f)),not),
    inference(resolution,[],[f78,f24]) ).

fof(f81,plain,
    type(and2(h2(f)),and),
    inference(resolution,[],[f78,f23]) ).

fof(f82,plain,
    type(and1(h2(f)),and),
    inference(resolution,[],[f78,f22]) ).

fof(f83,plain,
    type(or1(f),or),
    inference(resolution,[],[f37,f46]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ connection(in(n1,f),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f1,f47]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ connection(in(c,f),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f1,f49]) ).

fof(f86,plain,
    ! [X0] :
      ( ~ connection(in(n2,f),X0)
      | value(X0,n0) ),
    inference(resolution,[],[f1,f48]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ connection(out(s,f),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f1,f50]) ).

fof(f88,plain,
    ! [X0] :
      ( ~ connection(out(c,f),X0)
      | value(X0,n0) ),
    inference(resolution,[],[f1,f51]) ).

fof(f99,plain,
    ( mode(and2(h1(f)),ok)
    | mode(and2(h1(f)),abnormal) ),
    inference(resolution,[],[f7,f76]) ).

fof(f100,plain,
    ( mode(not1(h1(f)),ok)
    | mode(not1(h1(f)),abnormal) ),
    inference(resolution,[],[f7,f75]) ).

fof(f101,plain,
    ( mode(or1(f),ok)
    | mode(or1(f),abnormal) ),
    inference(resolution,[],[f7,f83]) ).

fof(f102,plain,
    ( mode(or1(h1(f)),ok)
    | mode(or1(h1(f)),abnormal) ),
    inference(resolution,[],[f7,f74]) ).

fof(f133,plain,
    mode(or1(h1(f)),ok),
    inference(forward_subsumption_resolution,[],[f102,f55]) ).

fof(f134,plain,
    ( mode(or1(f),ok)
    | spl0_2 ),
    inference(forward_subsumption_resolution,[],[f101,f66]) ).

fof(f135,plain,
    mode(not1(h1(f)),ok),
    inference(forward_subsumption_resolution,[],[f100,f56]) ).

fof(f136,plain,
    mode(and2(h1(f)),ok),
    inference(forward_subsumption_resolution,[],[f99,f57]) ).

fof(f139,plain,
    connection(in(n2,h1(f)),in(n2,or1(h1(f)))),
    inference(resolution,[],[f27,f73]) ).

fof(f141,plain,
    connection(in(n1,h1(f)),in(n1,and2(h1(f)))),
    inference(resolution,[],[f28,f73]) ).

fof(f142,plain,
    connection(in(n1,h2(f)),in(n1,and2(h2(f)))),
    inference(resolution,[],[f28,f78]) ).

fof(f144,plain,
    connection(in(n2,h2(f)),in(n2,and2(h2(f)))),
    inference(resolution,[],[f29,f78]) ).

fof(f147,plain,
    connection(out(s,h1(f)),out(n1,and1(h1(f)))),
    inference(resolution,[],[f30,f73]) ).

fof(f148,plain,
    connection(out(s,h2(f)),out(n1,and1(h2(f)))),
    inference(resolution,[],[f30,f78]) ).

fof(f150,plain,
    connection(out(c,h2(f)),out(n1,and2(h2(f)))),
    inference(resolution,[],[f31,f78]) ).

fof(f153,plain,
    connection(in(n1,f),in(n1,h2(f))),
    inference(resolution,[],[f41,f46]) ).

fof(f154,plain,
    connection(in(n2,f),in(n1,h1(f))),
    inference(resolution,[],[f42,f46]) ).

fof(f157,plain,
    connection(in(c,f),in(n2,h1(f))),
    inference(resolution,[],[f43,f46]) ).

fof(f158,plain,
    connection(out(s,f),out(s,h2(f))),
    inference(resolution,[],[f44,f46]) ).

fof(f159,plain,
    ( mode(and1(h1(f)),ok)
    | mode(and1(h1(f)),abnormal) ),
    inference(resolution,[],[f77,f7]) ).

fof(f160,plain,
    mode(and1(h1(f)),ok),
    inference(forward_subsumption_resolution,[],[f159,f58]) ).

fof(f161,plain,
    connection(out(c,f),out(n1,or1(f))),
    inference(resolution,[],[f45,f46]) ).

fof(f162,plain,
    connection(out(n1,or1(h1(f))),in(n1,and1(h1(f)))),
    inference(resolution,[],[f32,f73]) ).

fof(f174,plain,
    connection(out(n1,and2(h1(f))),in(n1,not1(h1(f)))),
    inference(resolution,[],[f33,f73]) ).

fof(f175,plain,
    connection(out(n1,and2(h2(f))),in(n1,not1(h2(f)))),
    inference(resolution,[],[f33,f78]) ).

fof(f176,plain,
    ( mode(not1(h2(f)),ok)
    | mode(not1(h2(f)),abnormal) ),
    inference(resolution,[],[f80,f7]) ).

fof(f178,definition,
    ( spl0_12
  <=> mode(not1(h2(f)),ok) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f180,plain,
    ( mode(not1(h2(f)),ok)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f181,plain,
    ( spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f176,f178,f69]) ).

fof(f184,plain,
    ( mode(and2(h2(f)),ok)
    | mode(and2(h2(f)),abnormal) ),
    inference(resolution,[],[f81,f7]) ).

fof(f185,plain,
    mode(and2(h2(f)),ok),
    inference(forward_subsumption_resolution,[],[f184,f53]) ).

fof(f186,plain,
    connection(out(n1,not1(h1(f))),in(n2,and1(h1(f)))),
    inference(resolution,[],[f34,f73]) ).

fof(f187,plain,
    connection(out(n1,not1(h2(f))),in(n2,and1(h2(f)))),
    inference(resolution,[],[f34,f78]) ).

fof(f188,plain,
    connection(out(s,h1(f)),in(n2,h2(f))),
    inference(resolution,[],[f38,f46]) ).

fof(f189,plain,
    ( mode(and1(h2(f)),ok)
    | mode(and1(h2(f)),abnormal) ),
    inference(resolution,[],[f82,f7]) ).

fof(f191,definition,
    ( spl0_13
  <=> mode(and1(h2(f)),ok) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f193,plain,
    ( mode(and1(h2(f)),ok)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f194,plain,
    ( spl0_1
    | spl0_13 ),
    inference(avatar_split_clause,[],[f189,f191,f60]) ).

fof(f200,plain,
    connection(out(c,h2(f)),in(n1,or1(f))),
    inference(resolution,[],[f40,f46]) ).

fof(f203,plain,
    ! [X0] :
      ( ~ mode(and2(h1(f)),ok)
      | ~ value(in(X0,and2(h1(f))),n0)
      | value(out(n1,and2(h1(f))),n0) ),
    inference(resolution,[],[f8,f76]) ).

fof(f206,plain,
    ! [X0] :
      ( ~ value(in(X0,and2(h1(f))),n0)
      | value(out(n1,and2(h1(f))),n0) ),
    inference(forward_subsumption_resolution,[],[f203,f136]) ).

fof(f217,definition,
    ( spl0_16
  <=> value(out(n1,and2(h1(f))),n0) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f219,plain,
    ( value(out(n1,and2(h1(f))),n0)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f221,definition,
    ( spl0_17
  <=> ! [X0] : ~ value(in(X0,and2(h1(f))),n0) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f222,plain,
    ( ! [X0] : ~ value(in(X0,and2(h1(f))),n0)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f223,plain,
    ( spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f206,f221,f217]) ).

fof(f243,definition,
    ( spl0_20
  <=> value(in(n1,and2(h2(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f244,plain,
    ( ~ value(in(n1,and2(h2(f))),n1)
    | spl0_20 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f247,definition,
    ( spl0_21
  <=> value(out(n1,and2(h2(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f248,plain,
    ( value(out(n1,and2(h2(f))),n1)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f249,plain,
    ( ~ value(out(n1,and2(h2(f))),n1)
    | spl0_21 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f261,definition,
    ( spl0_24
  <=> value(in(n1,and1(h1(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f265,definition,
    ( spl0_25
  <=> value(out(n1,and1(h1(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f266,plain,
    ( value(out(n1,and1(h1(f))),n1)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f267,plain,
    ( ~ value(out(n1,and1(h1(f))),n1)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f273,plain,
    ( ~ mode(and1(h2(f)),ok)
    | ~ value(out(n1,and1(h2(f))),n1)
    | value(in(n2,and1(h2(f))),n1) ),
    inference(resolution,[],[f12,f82]) ).

fof(f280,plain,
    ! [X0] :
      ( ~ mode(or1(h1(f)),ok)
      | ~ value(in(X0,or1(h1(f))),n1)
      | value(out(n1,or1(h1(f))),n1) ),
    inference(resolution,[],[f13,f74]) ).

fof(f282,plain,
    ! [X0] :
      ( ~ value(in(X0,or1(h1(f))),n1)
      | value(out(n1,or1(h1(f))),n1) ),
    inference(forward_subsumption_resolution,[],[f280,f133]) ).

fof(f285,definition,
    ( spl0_26
  <=> value(out(n1,or1(h1(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f287,plain,
    ( value(out(n1,or1(h1(f))),n1)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f289,definition,
    ( spl0_27
  <=> ! [X0] : ~ value(in(X0,or1(h1(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f290,plain,
    ( ! [X0] : ~ value(in(X0,or1(h1(f))),n1)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f291,plain,
    ( spl0_26
    | spl0_27 ),
    inference(avatar_split_clause,[],[f282,f289,f285]) ).

fof(f302,plain,
    ( ~ value(out(n1,and1(h2(f))),n1)
    | value(in(n2,and1(h2(f))),n1)
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f273,f193]) ).

fof(f304,definition,
    ( spl0_30
  <=> mode(or1(f),ok) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f305,plain,
    ( mode(or1(f),ok)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f321,definition,
    ( spl0_34
  <=> value(out(n1,and1(h2(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f326,definition,
    ( spl0_35
  <=> value(in(n2,and1(h2(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f328,plain,
    ( value(in(n2,and1(h2(f))),n1)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f329,plain,
    ( spl0_35
    | ~ spl0_34
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f302,f191,f321,f326]) ).

fof(f330,plain,
    ( spl0_30
    | spl0_2 ),
    inference(avatar_split_clause,[],[f134,f64,f304]) ).

fof(f333,plain,
    ( ~ mode(or1(f),ok)
    | ~ value(out(n1,or1(f)),n0)
    | value(in(n1,or1(f)),n0) ),
    inference(resolution,[],[f16,f83]) ).

fof(f337,plain,
    ( ~ value(out(n1,or1(f)),n0)
    | value(in(n1,or1(f)),n0)
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f333,f305]) ).

fof(f348,definition,
    ( spl0_38
  <=> value(in(n1,or1(f)),n0) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f350,plain,
    ( value(in(n1,or1(f)),n0)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f352,definition,
    ( spl0_39
  <=> value(out(n1,or1(f)),n0) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f354,plain,
    ( ~ value(out(n1,or1(f)),n0)
    | spl0_39 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f355,plain,
    ( spl0_38
    | ~ spl0_39
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f337,f304,f352,f348]) ).

fof(f362,plain,
    ( ~ mode(not1(h1(f)),ok)
    | ~ value(in(n1,not1(h1(f))),n0)
    | value(out(n1,not1(h1(f))),n1) ),
    inference(resolution,[],[f18,f75]) ).

fof(f365,plain,
    ( ~ value(in(n1,not1(h1(f))),n0)
    | value(out(n1,not1(h1(f))),n1) ),
    inference(forward_subsumption_resolution,[],[f362,f135]) ).

fof(f367,definition,
    ( spl0_40
  <=> value(out(n1,not1(h2(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f368,plain,
    ( ~ value(out(n1,not1(h2(f))),n1)
    | spl0_40 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f369,plain,
    ( value(out(n1,not1(h2(f))),n1)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f376,definition,
    ( spl0_42
  <=> value(out(n1,not1(h1(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f378,plain,
    ( value(out(n1,not1(h1(f))),n1)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f380,definition,
    ( spl0_43
  <=> value(in(n1,not1(h1(f))),n0) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f382,plain,
    ( ~ value(in(n1,not1(h1(f))),n0)
    | spl0_43 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f383,plain,
    ( spl0_42
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f365,f380,f376]) ).

fof(f385,plain,
    ( ~ mode(not1(h2(f)),ok)
    | ~ value(in(n1,not1(h2(f))),n1)
    | value(out(n1,not1(h2(f))),n0) ),
    inference(resolution,[],[f19,f80]) ).

fof(f386,plain,
    ( ~ value(in(n1,not1(h2(f))),n1)
    | value(out(n1,not1(h2(f))),n0)
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f385,f180]) ).

fof(f389,definition,
    ( spl0_44
  <=> value(out(n1,not1(h2(f))),n0) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f391,plain,
    ( value(out(n1,not1(h2(f))),n0)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f393,definition,
    ( spl0_45
  <=> value(in(n1,not1(h2(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f395,plain,
    ( ~ value(in(n1,not1(h2(f))),n1)
    | spl0_45 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f396,plain,
    ( spl0_44
    | ~ spl0_45
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f386,f178,f393,f389]) ).

fof(f425,plain,
    ( ~ mode(and1(h1(f)),ok)
    | ~ value(in(n1,and1(h1(f))),n1)
    | ~ value(in(n2,and1(h1(f))),n1)
    | value(out(n1,and1(h1(f))),n1) ),
    inference(resolution,[],[f9,f77]) ).

fof(f428,plain,
    ( ~ mode(and2(h2(f)),ok)
    | ~ value(in(n1,and2(h2(f))),n1)
    | ~ value(in(n2,and2(h2(f))),n1)
    | value(out(n1,and2(h2(f))),n1) ),
    inference(resolution,[],[f9,f81]) ).

fof(f429,plain,
    ( ~ value(in(n1,and2(h2(f))),n1)
    | ~ value(in(n2,and2(h2(f))),n1)
    | value(out(n1,and2(h2(f))),n1) ),
    inference(forward_subsumption_resolution,[],[f428,f185]) ).

fof(f431,plain,
    ( ~ value(in(n1,and1(h1(f))),n1)
    | ~ value(in(n2,and1(h1(f))),n1)
    | value(out(n1,and1(h1(f))),n1) ),
    inference(forward_subsumption_resolution,[],[f425,f160]) ).

fof(f432,plain,
    ( ~ value(in(n1,and2(h2(f))),n1)
    | ~ value(in(n2,and2(h2(f))),n1)
    | spl0_21 ),
    inference(forward_subsumption_resolution,[],[f429,f249]) ).

fof(f434,plain,
    ( ~ value(in(n1,and1(h1(f))),n1)
    | ~ value(in(n2,and1(h1(f))),n1)
    | spl0_25 ),
    inference(forward_subsumption_resolution,[],[f431,f267]) ).

fof(f436,definition,
    ( spl0_48
  <=> value(in(n2,and2(h2(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f438,plain,
    ( ~ value(in(n2,and2(h2(f))),n1)
    | spl0_48 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f439,plain,
    ( ~ spl0_48
    | ~ spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f432,f247,f243,f436]) ).

fof(f446,definition,
    ( spl0_50
  <=> value(in(n2,and1(h1(f))),n1) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f448,plain,
    ( ~ value(in(n2,and1(h1(f))),n1)
    | spl0_50 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f449,plain,
    ( ~ spl0_50
    | ~ spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f434,f265,f261,f446]) ).

fof(f534,plain,
    value(in(n1,h2(f)),n1),
    inference(resolution,[],[f153,f84]) ).

fof(f535,plain,
    value(in(n1,h1(f)),n0),
    inference(resolution,[],[f154,f86]) ).

fof(f536,plain,
    value(in(n2,h1(f)),n1),
    inference(resolution,[],[f157,f85]) ).

fof(f537,plain,
    value(out(s,h2(f)),n1),
    inference(resolution,[],[f158,f87]) ).

fof(f538,plain,
    value(out(n1,or1(f)),n0),
    inference(resolution,[],[f161,f88]) ).

fof(f539,plain,
    ( $false
    | spl0_39 ),
    inference(forward_subsumption_resolution,[],[f538,f354]) ).

fof(f540,plain,
    spl0_39,
    inference(avatar_contradiction_clause,[],[f539]) ).

fof(f546,plain,
    ( ! [X0] :
        ( ~ connection(X0,in(n1,or1(f)))
        | value(X0,n0) )
    | ~ spl0_38 ),
    inference(resolution,[],[f350,f2]) ).

fof(f556,plain,
    ! [X0] :
      ( ~ connection(in(n1,h2(f)),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f534,f1]) ).

fof(f559,plain,
    ! [X0] :
      ( ~ connection(in(n1,h1(f)),X0)
      | value(X0,n0) ),
    inference(resolution,[],[f535,f1]) ).

fof(f562,plain,
    ! [X0] :
      ( ~ connection(in(n2,h1(f)),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f536,f1]) ).

fof(f565,plain,
    ! [X0] :
      ( ~ connection(out(s,h2(f)),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f537,f1]) ).

fof(f567,plain,
    ( value(out(c,h2(f)),n0)
    | ~ spl0_38 ),
    inference(resolution,[],[f546,f200]) ).

fof(f581,plain,
    value(in(n1,and2(h2(f))),n1),
    inference(resolution,[],[f556,f142]) ).

fof(f582,plain,
    ( $false
    | spl0_20 ),
    inference(forward_subsumption_resolution,[],[f581,f244]) ).

fof(f583,plain,
    spl0_20,
    inference(avatar_contradiction_clause,[],[f582]) ).

fof(f592,plain,
    value(in(n1,and2(h1(f))),n0),
    inference(resolution,[],[f559,f141]) ).

fof(f593,plain,
    ( $false
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f592,f222]) ).

fof(f594,plain,
    ~ spl0_17,
    inference(avatar_contradiction_clause,[],[f593]) ).

fof(f600,plain,
    ( ! [X0] :
        ( ~ connection(out(n1,and2(h1(f))),X0)
        | value(X0,n0) )
    | ~ spl0_16 ),
    inference(resolution,[],[f219,f1]) ).

fof(f614,plain,
    value(in(n2,or1(h1(f))),n1),
    inference(resolution,[],[f562,f139]) ).

fof(f618,plain,
    ( $false
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f614,f290]) ).

fof(f619,plain,
    ~ spl0_27,
    inference(avatar_contradiction_clause,[],[f618]) ).

fof(f622,plain,
    ( ! [X0] :
        ( ~ connection(out(n1,or1(h1(f))),X0)
        | value(X0,n1) )
    | ~ spl0_26 ),
    inference(resolution,[],[f287,f1]) ).

fof(f629,plain,
    ( value(in(n1,not1(h1(f))),n0)
    | ~ spl0_16 ),
    inference(resolution,[],[f600,f174]) ).

fof(f630,plain,
    ( $false
    | ~ spl0_16
    | spl0_43 ),
    inference(forward_subsumption_resolution,[],[f629,f382]) ).

fof(f631,plain,
    ( ~ spl0_16
    | spl0_43 ),
    inference(avatar_contradiction_clause,[],[f630]) ).

fof(f634,plain,
    ( ! [X0] :
        ( ~ connection(out(n1,not1(h1(f))),X0)
        | value(X0,n1) )
    | ~ spl0_42 ),
    inference(resolution,[],[f378,f1]) ).

fof(f642,plain,
    value(out(n1,and1(h2(f))),n1),
    inference(resolution,[],[f565,f148]) ).

fof(f643,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f642,f321]) ).

fof(f654,plain,
    ( value(in(n1,and1(h1(f))),n1)
    | ~ spl0_26 ),
    inference(resolution,[],[f622,f162]) ).

fof(f655,plain,
    ( spl0_24
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f654,f285,f261]) ).

fof(f664,plain,
    ( value(in(n2,and1(h1(f))),n1)
    | ~ spl0_42 ),
    inference(resolution,[],[f634,f186]) ).

fof(f665,plain,
    ( $false
    | ~ spl0_42
    | spl0_50 ),
    inference(forward_subsumption_resolution,[],[f664,f448]) ).

fof(f666,plain,
    ( ~ spl0_42
    | spl0_50 ),
    inference(avatar_contradiction_clause,[],[f665]) ).

fof(f668,plain,
    ( ! [X0] :
        ( ~ connection(X0,out(n1,and1(h1(f))))
        | value(X0,n1) )
    | ~ spl0_25 ),
    inference(resolution,[],[f266,f2]) ).

fof(f678,plain,
    ( value(out(s,h1(f)),n1)
    | ~ spl0_25 ),
    inference(resolution,[],[f668,f147]) ).

fof(f681,plain,
    ( ! [X0] :
        ( ~ connection(out(s,h1(f)),X0)
        | value(X0,n1) )
    | ~ spl0_25 ),
    inference(resolution,[],[f678,f1]) ).

fof(f686,plain,
    ( value(in(n2,h2(f)),n1)
    | ~ spl0_25 ),
    inference(resolution,[],[f681,f188]) ).

fof(f689,plain,
    ( ! [X0] :
        ( ~ connection(in(n2,h2(f)),X0)
        | value(X0,n1) )
    | ~ spl0_25 ),
    inference(resolution,[],[f686,f1]) ).

fof(f698,plain,
    ( value(in(n2,and2(h2(f))),n1)
    | ~ spl0_25 ),
    inference(resolution,[],[f689,f144]) ).

fof(f699,plain,
    ( $false
    | ~ spl0_25
    | spl0_48 ),
    inference(forward_subsumption_resolution,[],[f698,f438]) ).

fof(f700,plain,
    ( ~ spl0_25
    | spl0_48 ),
    inference(avatar_contradiction_clause,[],[f699]) ).

fof(f702,plain,
    ( ! [X0] :
        ( ~ connection(X0,out(n1,and2(h2(f))))
        | value(X0,n1) )
    | ~ spl0_21 ),
    inference(resolution,[],[f248,f2]) ).

fof(f703,plain,
    ( ! [X0] :
        ( ~ connection(out(n1,and2(h2(f))),X0)
        | value(X0,n1) )
    | ~ spl0_21 ),
    inference(resolution,[],[f248,f1]) ).

fof(f711,plain,
    ( value(out(c,h2(f)),n1)
    | ~ spl0_21 ),
    inference(resolution,[],[f702,f150]) ).

fof(f712,plain,
    ( ! [X0] :
        ( ~ value(out(c,h2(f)),X0)
        | equal_value(n1,X0) )
    | ~ spl0_21 ),
    inference(resolution,[],[f711,f3]) ).

fof(f715,plain,
    ( value(in(n1,not1(h2(f))),n1)
    | ~ spl0_21 ),
    inference(resolution,[],[f703,f175]) ).

fof(f716,plain,
    ( $false
    | ~ spl0_21
    | spl0_45 ),
    inference(forward_subsumption_resolution,[],[f715,f395]) ).

fof(f717,plain,
    ( ~ spl0_21
    | spl0_45 ),
    inference(avatar_contradiction_clause,[],[f716]) ).

fof(f720,plain,
    ( equal_value(n1,n0)
    | ~ spl0_21
    | ~ spl0_38 ),
    inference(resolution,[],[f712,f567]) ).

fof(f721,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f720,f5]) ).

fof(f722,plain,
    ( ~ spl0_21
    | ~ spl0_38 ),
    inference(avatar_contradiction_clause,[],[f721]) ).

fof(f753,plain,
    ( ! [X0] :
        ( ~ connection(X0,in(n2,and1(h2(f))))
        | value(X0,n1) )
    | ~ spl0_35 ),
    inference(resolution,[],[f328,f2]) ).

fof(f755,plain,
    ( ! [X0] :
        ( ~ value(out(n1,not1(h2(f))),X0)
        | equal_value(n0,X0) )
    | ~ spl0_44 ),
    inference(resolution,[],[f391,f3]) ).

fof(f770,plain,
    ( value(out(n1,not1(h2(f))),n1)
    | ~ spl0_35 ),
    inference(resolution,[],[f753,f187]) ).

fof(f771,plain,
    ( $false
    | ~ spl0_35
    | spl0_40 ),
    inference(forward_subsumption_resolution,[],[f770,f368]) ).

fof(f772,plain,
    ( ~ spl0_35
    | spl0_40 ),
    inference(avatar_contradiction_clause,[],[f771]) ).

fof(f779,plain,
    ( equal_value(n0,n1)
    | ~ spl0_40
    | ~ spl0_44 ),
    inference(resolution,[],[f755,f369]) ).

fof(f781,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f779,f4]) ).

fof(f782,plain,
    ( ~ spl0_40
    | ~ spl0_44 ),
    inference(avatar_contradiction_clause,[],[f781]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f67]) ).

cnf(s2,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f72]) ).

cnf(s10,plain,
    ( spl0_3
    | spl0_12 ),
    inference(sat_conversion,[],[f181]) ).

cnf(s12,plain,
    ( spl0_1
    | spl0_13 ),
    inference(sat_conversion,[],[f194]) ).

cnf(s16,plain,
    ( spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f223]) ).

cnf(s21,plain,
    ( spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f291]) ).

cnf(s26,plain,
    ( ~ spl0_13
    | ~ spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f329]) ).

cnf(s28,plain,
    ( spl0_2
    | spl0_30 ),
    inference(sat_conversion,[],[f330]) ).

cnf(s31,plain,
    ( ~ spl0_30
    | spl0_38
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s33,plain,
    ( spl0_42
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f383]) ).

cnf(s34,plain,
    ( ~ spl0_12
    | spl0_44
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s40,plain,
    ( ~ spl0_20
    | spl0_21
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s42,plain,
    ( ~ spl0_24
    | spl0_25
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s50,plain,
    spl0_39,
    inference(sat_conversion,[],[f540]) ).

cnf(s52,plain,
    spl0_20,
    inference(sat_conversion,[],[f583]) ).

cnf(s53,plain,
    ~ spl0_17,
    inference(sat_conversion,[],[f594]) ).

cnf(s57,plain,
    ~ spl0_27,
    inference(sat_conversion,[],[f619]) ).

cnf(s58,plain,
    ( ~ spl0_16
    | spl0_43 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s59,plain,
    spl0_34,
    inference(sat_conversion,[],[f643]) ).

cnf(s61,plain,
    ( spl0_24
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s62,plain,
    ( ~ spl0_42
    | spl0_50 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s63,plain,
    ( ~ spl0_25
    | spl0_48 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s64,plain,
    ( ~ spl0_21
    | spl0_45 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s66,plain,
    ( ~ spl0_21
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s70,plain,
    ( ~ spl0_35
    | spl0_40 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s71,plain,
    ( ~ spl0_40
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s75,plain,
    ( spl0_21
    | ~ spl0_48 ),
    inference(rat,[],[s40,s52]) ).

cnf(s76,plain,
    ( ~ spl0_30
    | spl0_38 ),
    inference(rat,[],[s31,s50]) ).

cnf(s77,plain,
    ( ~ spl0_13
    | spl0_35 ),
    inference(rat,[],[s26,s59]) ).

cnf(s79,plain,
    spl0_26,
    inference(rat,[],[s21,s57]) ).

cnf(s80,plain,
    spl0_24,
    inference(rat,[],[s61,s79]) ).

cnf(s81,plain,
    spl0_16,
    inference(rat,[],[s16,s53]) ).

cnf(s82,plain,
    spl0_43,
    inference(rat,[],[s58,s81]) ).

cnf(s83,plain,
    spl0_42,
    inference(rat,[],[s33,s82]) ).

cnf(s84,plain,
    spl0_50,
    inference(rat,[],[s62,s83]) ).

cnf(s85,plain,
    spl0_25,
    inference(rat,[],[s42,s80,s84]) ).

cnf(s86,plain,
    spl0_48,
    inference(rat,[],[s63,s85]) ).

cnf(s87,plain,
    spl0_21,
    inference(rat,[],[s75,s86]) ).

cnf(s90,plain,
    ~ spl0_38,
    inference(rat,[],[s66,s87]) ).

cnf(s91,plain,
    spl0_45,
    inference(rat,[],[s64,s87]) ).

cnf(s92,plain,
    ~ spl0_30,
    inference(rat,[],[s76,s90]) ).

cnf(s93,plain,
    spl0_2,
    inference(rat,[],[s28,s92]) ).

cnf(s94,plain,
    ~ spl0_3,
    inference(rat,[],[s2,s93]) ).

cnf(s95,plain,
    spl0_12,
    inference(rat,[],[s10,s94]) ).

cnf(s96,plain,
    spl0_44,
    inference(rat,[],[s34,s91,s95]) ).

cnf(s97,plain,
    ~ spl0_40,
    inference(rat,[],[s71,s96]) ).

cnf(s98,plain,
    ~ spl0_35,
    inference(rat,[],[s70,s97]) ).

cnf(s100,plain,
    ~ spl0_13,
    inference(rat,[],[s77,s98]) ).

cnf(s101,plain,
    spl0_1,
    inference(rat,[],[s12,s100]) ).

cnf(s102,plain,
    $false,
    inference(rat,[],[s1,s93,s101]) ).

fof(f783,plain,
    $false,
    inference(avatar_sat_refutation,[],[s102]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : HWV006-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36  % Computer : n014.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 27 10:53:01 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40  Running first-order model finding
% 0.09/0.40  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
% 0.09/0.46  % (620731)Will run a generic schedule for satisfiability detection.
% 0.09/0.46  % (620742)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2357616212:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.46  % (620737)% WARNING: option uhcvi not known.
% 0.09/0.46  % (620736)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=547156166_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.46  % (620738)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2688460130:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.46  % (620739)dis+10_1_sil=32000:sp=arity:random_seed=4040785480:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.46  % (620740)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1100825156:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.46  % (620741)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3121741873:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.46  % (620737)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=323643967:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.46  % TRYING [1]
% 0.09/0.46  % TRYING [2]
% 0.09/0.46  % TRYING [3]
% 0.09/0.46  % (620741) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-620731-620741"...
% 0.09/0.46  % (620739) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-620731-620739"...
% 0.09/0.46  % (620740) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-620731-620740"...
% 0.09/0.46  % (620741)...printing done.
% 0.09/0.46  % (620741)Refutation found. Thanks to Tanya!
% 0.09/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.09/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.46  % (620741)------------------------------
% 0.09/0.46  % (620741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.46  % (620741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.46  % (620741)CaDiCaL version: 2.1.3
% 0.09/0.46  % (620741)Termination reason: Refutation
% 0.09/0.46  % (620741)Time elapsed: 0.014 s
% 0.09/0.46  % (620741)Peak memory usage: 12 MB
% 0.09/0.46  % (620741)Instructions burned: 21 (million)
% 0.09/0.46  % (620731)Success in time 0.05 s
% 0.09/0.46  % Vampire exiting
%------------------------------------------------------------------------------