TSTP Solution File: HWV007-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HWV007-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 02:33:39 EDT 2024

% Result   : Unsatisfiable 0.62s 0.78s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   95
% Syntax   : Number of formulae    :  257 (  11 unt;   0 def)
%            Number of atoms       :  620 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  688 ( 325   ~; 314   |;   0   &)
%                                         (  49 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   55 (  54 usr;  50 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  13 con; 0-2 aty)
%            Number of variables   :   87 (  87   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1400,plain,
    $false,
    inference(avatar_sat_refutation,[],[f65,f70,f75,f80,f133,f149,f165,f167,f173,f201,f217,f281,f292,f369,f379,f388,f411,f416,f463,f473,f478,f540,f546,f560,f675,f720,f831,f934,f938,f942,f952,f955,f964,f1058,f1082,f1097,f1099,f1103,f1110,f1115,f1119,f1127,f1167,f1248,f1297,f1309,f1314,f1331,f1390,f1398]) ).

fof(f1398,plain,
    ( ~ spl0_18
    | spl0_2
    | spl0_137
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1393,f1238,f1209,f62,f194]) ).

fof(f194,plain,
    ( spl0_18
  <=> type(h1(f),halfadder) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f62,plain,
    ( spl0_2
  <=> mode(and1(h1(f)),abnormal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1209,plain,
    ( spl0_137
  <=> value(out(n1,and1(h1(f))),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1238,plain,
    ( spl0_139
  <=> value(in(n2,and1(h1(f))),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1393,plain,
    ( value(out(n1,and1(h1(f))),n0)
    | mode(and1(h1(f)),abnormal)
    | ~ type(h1(f),halfadder)
    | ~ spl0_139 ),
    inference(resolution,[],[f1240,f898]) ).

fof(f898,plain,
    ! [X0,X1] :
      ( ~ value(in(X0,and1(X1)),n0)
      | value(out(n1,and1(X1)),n0)
      | mode(and1(X1),abnormal)
      | ~ type(X1,halfadder) ),
    inference(resolution,[],[f397,f22]) ).

fof(f22,axiom,
    ! [X8] :
      ( type(and1(X8),and)
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',halfadder_and1) ).

fof(f397,plain,
    ! [X0,X1] :
      ( ~ type(X1,and)
      | ~ value(in(X0,X1),n0)
      | value(out(n1,X1),n0)
      | mode(X1,abnormal) ),
    inference(condensation,[],[f396]) ).

fof(f396,plain,
    ! [X2,X0,X1] :
      ( ~ value(in(X0,X1),n0)
      | ~ type(X1,and)
      | value(out(n1,X1),n0)
      | mode(X1,abnormal)
      | ~ type(X1,X2) ),
    inference(resolution,[],[f8,f7]) ).

fof(f7,axiom,
    ! [X6,X7] :
      ( mode(X6,ok)
      | mode(X6,abnormal)
      | ~ type(X6,X7) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',ok_or_abnormal) ).

fof(f8,axiom,
    ! [X6,X7] :
      ( ~ mode(X6,ok)
      | ~ value(in(X7,X6),n0)
      | ~ type(X6,and)
      | value(out(n1,X6),n0) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',and_0x_0) ).

fof(f1240,plain,
    ( value(in(n2,and1(h1(f))),n0)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f1238]) ).

fof(f1390,plain,
    ( ~ spl0_18
    | spl0_139
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1389,f1306,f1238,f194]) ).

fof(f1306,plain,
    ( spl0_144
  <=> value(out(n1,not1(h1(f))),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1389,plain,
    ( value(in(n2,and1(h1(f))),n0)
    | ~ type(h1(f),halfadder)
    | ~ spl0_144 ),
    inference(resolution,[],[f1340,f34]) ).

fof(f34,axiom,
    ! [X8] :
      ( connection(out(n1,not1(X8)),in(n2,and1(X8)))
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',halfadder_connection_out1not1_in2and1) ).

fof(f1340,plain,
    ( ! [X0] :
        ( ~ connection(out(n1,not1(h1(f))),X0)
        | value(X0,n0) )
    | ~ spl0_144 ),
    inference(resolution,[],[f1308,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ value(X0,X2)
      | value(X1,X2)
      | ~ connection(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',value_propagation1) ).

fof(f1308,plain,
    ( value(out(n1,not1(h1(f))),n0)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f1306]) ).

fof(f1331,plain,
    ( ~ spl0_18
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1330,f1312,f194]) ).

fof(f1312,plain,
    ( spl0_145
  <=> ! [X0] : ~ type(not1(h1(f)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1330,plain,
    ( ~ type(h1(f),halfadder)
    | ~ spl0_145 ),
    inference(resolution,[],[f1313,f24]) ).

fof(f24,axiom,
    ! [X8] :
      ( type(not1(X8),not)
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',halfadder_not1) ).

fof(f1313,plain,
    ( ! [X0] : ~ type(not1(h1(f)),X0)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f1312]) ).

fof(f1314,plain,
    ( spl0_145
    | spl0_3
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1310,f1302,f67,f1312]) ).

fof(f67,plain,
    ( spl0_3
  <=> mode(not1(h1(f)),abnormal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1302,plain,
    ( spl0_143
  <=> mode(not1(h1(f)),ok) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1310,plain,
    ( ! [X0] :
        ( mode(not1(h1(f)),abnormal)
        | ~ type(not1(h1(f)),X0) )
    | spl0_143 ),
    inference(resolution,[],[f1304,f7]) ).

fof(f1304,plain,
    ( ~ mode(not1(h1(f)),ok)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f1302]) ).

fof(f1309,plain,
    ( ~ spl0_18
    | ~ spl0_143
    | spl0_144
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1298,f1294,f1306,f1302,f194]) ).

fof(f1294,plain,
    ( spl0_142
  <=> value(in(n1,not1(h1(f))),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1298,plain,
    ( value(out(n1,not1(h1(f))),n0)
    | ~ mode(not1(h1(f)),ok)
    | ~ type(h1(f),halfadder)
    | ~ spl0_142 ),
    inference(resolution,[],[f1296,f895]) ).

fof(f895,plain,
    ! [X0] :
      ( ~ value(in(n1,not1(X0)),n1)
      | value(out(n1,not1(X0)),n0)
      | ~ mode(not1(X0),ok)
      | ~ type(X0,halfadder) ),
    inference(resolution,[],[f19,f24]) ).

fof(f19,axiom,
    ! [X6] :
      ( ~ type(X6,not)
      | ~ value(in(n1,X6),n1)
      | value(out(n1,X6),n0)
      | ~ mode(X6,ok) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',not_1_0_fw) ).

fof(f1296,plain,
    ( value(in(n1,not1(h1(f))),n1)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f1294]) ).

fof(f1297,plain,
    ( ~ spl0_18
    | spl0_142
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1292,f1107,f1294,f194]) ).

fof(f1107,plain,
    ( spl0_127
  <=> value(out(n1,and2(h1(f))),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1292,plain,
    ( value(in(n1,not1(h1(f))),n1)
    | ~ type(h1(f),halfadder)
    | ~ spl0_127 ),
    inference(resolution,[],[f1153,f33]) ).

fof(f33,axiom,
    ! [X8] :
      ( connection(out(n1,and2(X8)),in(n1,not1(X8)))
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',halfadder_connection_out1and2_in1not1) ).

fof(f1153,plain,
    ( ! [X0] :
        ( ~ connection(out(n1,and2(h1(f))),X0)
        | value(X0,n1) )
    | ~ spl0_127 ),
    inference(resolution,[],[f1109,f1]) ).

fof(f1109,plain,
    ( value(out(n1,and2(h1(f))),n1)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f1107]) ).

fof(f1248,plain,
    ( ~ spl0_129
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1234,f1209,f1164]) ).

fof(f1164,plain,
    ( spl0_129
  <=> value(out(n1,and1(h1(f))),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1234,plain,
    ( ~ value(out(n1,and1(h1(f))),n1)
    | ~ spl0_137 ),
    inference(resolution,[],[f1211,f91]) ).

fof(f91,plain,
    ! [X0] :
      ( ~ value(X0,n0)
      | ~ value(X0,n1) ),
    inference(resolution,[],[f3,f4]) ).

fof(f4,axiom,
    ~ equal_value(n0,n1),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',equal_value1) ).

fof(f3,axiom,
    ! [X3,X4,X5] :
      ( equal_value(X4,X5)
      | ~ value(X3,X5)
      | ~ value(X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',unique_value) ).

fof(f1211,plain,
    ( value(out(n1,and1(h1(f))),n0)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f1209]) ).

fof(f1167,plain,
    ( ~ spl0_18
    | spl0_129
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1160,f961,f1164,f194]) ).

fof(f961,plain,
    ( spl0_111
  <=> value(out(s,h1(f)),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1160,plain,
    ( value(out(n1,and1(h1(f))),n1)
    | ~ type(h1(f),halfadder)
    | ~ spl0_111 ),
    inference(resolution,[],[f966,f30]) ).

fof(f30,axiom,
    ! [X8] :
      ( connection(out(s,X8),out(n1,and1(X8)))
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',halfadder_connection_outs_out1and1) ).

fof(f966,plain,
    ( ! [X0] :
        ( ~ connection(out(s,h1(f)),X0)
        | value(X0,n1) )
    | ~ spl0_111 ),
    inference(resolution,[],[f963,f1]) ).

fof(f963,plain,
    ( value(out(s,h1(f)),n1)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f1127,plain,
    ( ~ spl0_34
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1124,f1075,f289]) ).

fof(f289,plain,
    ( spl0_34
  <=> value(in(n2,and2(h1(f))),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1075,plain,
    ( spl0_122
  <=> value(in(n2,and2(h1(f))),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1124,plain,
    ( ~ value(in(n2,and2(h1(f))),n1)
    | ~ spl0_122 ),
    inference(resolution,[],[f1077,f91]) ).

fof(f1077,plain,
    ( value(in(n2,and2(h1(f))),n0)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f1075]) ).

fof(f1119,plain,
    ~ spl0_126,
    inference(avatar_contradiction_clause,[],[f1117]) ).

fof(f1117,plain,
    ( $false
    | ~ spl0_126 ),
    inference(resolution,[],[f1096,f52]) ).

fof(f52,axiom,
    ~ mode(and2(h1(f)),abnormal),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',diagnosis_and2h1) ).

fof(f1096,plain,
    ( mode(and2(h1(f)),abnormal)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f1094]) ).

fof(f1094,plain,
    ( spl0_126
  <=> mode(and2(h1(f)),abnormal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1115,plain,
    ( ~ spl0_19
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1112,f1079,f198]) ).

fof(f198,plain,
    ( spl0_19
  <=> value(in(n1,and2(h1(f))),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1079,plain,
    ( spl0_123
  <=> value(in(n1,and2(h1(f))),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1112,plain,
    ( ~ value(in(n1,and2(h1(f))),n1)
    | ~ spl0_123 ),
    inference(resolution,[],[f1081,f91]) ).

fof(f1081,plain,
    ( value(in(n1,and2(h1(f))),n0)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f1079]) ).

fof(f1110,plain,
    ( ~ spl0_120
    | spl0_127
    | ~ spl0_19
    | ~ spl0_34
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1104,f1071,f289,f198,f1107,f1067]) ).

fof(f1067,plain,
    ( spl0_120
  <=> mode(and2(h1(f)),ok) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1071,plain,
    ( spl0_121
  <=> type(and2(h1(f)),and) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1104,plain,
    ( ~ value(in(n2,and2(h1(f))),n1)
    | ~ value(in(n1,and2(h1(f))),n1)
    | value(out(n1,and2(h1(f))),n1)
    | ~ mode(and2(h1(f)),ok)
    | ~ spl0_121 ),
    inference(resolution,[],[f1072,f9]) ).

fof(f9,axiom,
    ! [X6] :
      ( ~ type(X6,and)
      | ~ value(in(n2,X6),n1)
      | ~ value(in(n1,X6),n1)
      | value(out(n1,X6),n1)
      | ~ mode(X6,ok) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',and_11_1) ).

fof(f1072,plain,
    ( type(and2(h1(f)),and)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f1071]) ).

fof(f1103,plain,
    ( ~ spl0_18
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1102,f1071,f194]) ).

fof(f1102,plain,
    ( ~ type(h1(f),halfadder)
    | spl0_121 ),
    inference(resolution,[],[f1073,f23]) ).

fof(f23,axiom,
    ! [X8] :
      ( type(and2(X8),and)
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',halfadder_and2) ).

fof(f1073,plain,
    ( ~ type(and2(h1(f)),and)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f1071]) ).

fof(f1099,plain,
    ( ~ spl0_18
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1098,f1091,f194]) ).

fof(f1091,plain,
    ( spl0_125
  <=> ! [X0] : ~ type(and2(h1(f)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1098,plain,
    ( ~ type(h1(f),halfadder)
    | ~ spl0_125 ),
    inference(resolution,[],[f1092,f23]) ).

fof(f1092,plain,
    ( ! [X0] : ~ type(and2(h1(f)),X0)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f1091]) ).

fof(f1097,plain,
    ( spl0_125
    | spl0_126
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1089,f1067,f1094,f1091]) ).

fof(f1089,plain,
    ( ! [X0] :
        ( mode(and2(h1(f)),abnormal)
        | ~ type(and2(h1(f)),X0) )
    | spl0_120 ),
    inference(resolution,[],[f1069,f7]) ).

fof(f1069,plain,
    ( ~ mode(and2(h1(f)),ok)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f1067]) ).

fof(f1082,plain,
    ( ~ spl0_120
    | ~ spl0_121
    | spl0_122
    | spl0_123
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1059,f1055,f1079,f1075,f1071,f1067]) ).

fof(f1055,plain,
    ( spl0_119
  <=> value(out(n1,and2(h1(f))),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1059,plain,
    ( value(in(n1,and2(h1(f))),n0)
    | value(in(n2,and2(h1(f))),n0)
    | ~ type(and2(h1(f)),and)
    | ~ mode(and2(h1(f)),ok)
    | ~ spl0_119 ),
    inference(resolution,[],[f1057,f10]) ).

fof(f10,axiom,
    ! [X6] :
      ( ~ value(out(n1,X6),n0)
      | value(in(n1,X6),n0)
      | value(in(n2,X6),n0)
      | ~ type(X6,and)
      | ~ mode(X6,ok) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',and_0_00) ).

fof(f1057,plain,
    ( value(out(n1,and2(h1(f))),n0)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f1055]) ).

fof(f1058,plain,
    ( ~ spl0_18
    | spl0_119
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1051,f828,f1055,f194]) ).

fof(f828,plain,
    ( spl0_100
  <=> value(out(c,h1(f)),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1051,plain,
    ( value(out(n1,and2(h1(f))),n0)
    | ~ type(h1(f),halfadder)
    | ~ spl0_100 ),
    inference(resolution,[],[f1004,f31]) ).

fof(f31,axiom,
    ! [X8] :
      ( connection(out(c,X8),out(n1,and2(X8)))
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',halfadder_connection_outc_out1and2) ).

fof(f1004,plain,
    ( ! [X0] :
        ( ~ connection(out(c,h1(f)),X0)
        | value(X0,n0) )
    | ~ spl0_100 ),
    inference(resolution,[],[f830,f1]) ).

fof(f830,plain,
    ( value(out(c,h1(f)),n0)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f964,plain,
    ( ~ spl0_11
    | spl0_111
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f959,f949,f961,f130]) ).

fof(f130,plain,
    ( spl0_11
  <=> type(f,fulladder) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f949,plain,
    ( spl0_110
  <=> value(in(n2,h2(f)),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f959,plain,
    ( value(out(s,h1(f)),n1)
    | ~ type(f,fulladder)
    | ~ spl0_110 ),
    inference(resolution,[],[f957,f38]) ).

fof(f38,axiom,
    ! [X8] :
      ( connection(out(s,h1(X8)),in(n2,h2(X8)))
      | ~ type(X8,fulladder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',fulladder_connection_outsh1_in2h2) ).

fof(f957,plain,
    ( ! [X0] :
        ( ~ connection(X0,in(n2,h2(f)))
        | value(X0,n1) )
    | ~ spl0_110 ),
    inference(resolution,[],[f951,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ~ value(X1,X2)
      | value(X0,X2)
      | ~ connection(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',value_propagation2) ).

fof(f951,plain,
    ( value(in(n2,h2(f)),n1)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f955,plain,
    ( ~ spl0_12
    | spl0_109 ),
    inference(avatar_split_clause,[],[f954,f931,f142]) ).

fof(f142,plain,
    ( spl0_12
  <=> type(h2(f),halfadder) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f931,plain,
    ( spl0_109
  <=> type(or1(h2(f)),or) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f954,plain,
    ( ~ type(h2(f),halfadder)
    | spl0_109 ),
    inference(resolution,[],[f933,f25]) ).

fof(f25,axiom,
    ! [X8] :
      ( type(or1(X8),or)
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',halfadder_or1) ).

fof(f933,plain,
    ( ~ type(or1(h2(f)),or)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f952,plain,
    ( ~ spl0_12
    | spl0_110
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f946,f928,f949,f142]) ).

fof(f928,plain,
    ( spl0_108
  <=> ! [X0] :
        ( value(X0,n1)
        | ~ connection(X0,in(n2,or1(h2(f)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f946,plain,
    ( value(in(n2,h2(f)),n1)
    | ~ type(h2(f),halfadder)
    | ~ spl0_108 ),
    inference(resolution,[],[f929,f27]) ).

fof(f27,axiom,
    ! [X8] :
      ( connection(in(n2,X8),in(n2,or1(X8)))
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',halfadder_connection_in2_in2or1) ).

fof(f929,plain,
    ( ! [X0] :
        ( ~ connection(X0,in(n2,or1(h2(f))))
        | value(X0,n1) )
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f942,plain,
    ( ~ spl0_12
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f941,f673,f142]) ).

fof(f673,plain,
    ( spl0_82
  <=> ! [X0] : ~ type(or1(h2(f)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f941,plain,
    ( ~ type(h2(f),halfadder)
    | ~ spl0_82 ),
    inference(resolution,[],[f674,f25]) ).

fof(f674,plain,
    ( ! [X0] : ~ type(or1(h2(f)),X0)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f938,plain,
    ( ~ spl0_13
    | ~ spl0_79 ),
    inference(avatar_contradiction_clause,[],[f935]) ).

fof(f935,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_79 ),
    inference(resolution,[],[f630,f179]) ).

fof(f179,plain,
    ( ~ value(in(n1,or1(h2(f))),n1)
    | ~ spl0_13 ),
    inference(resolution,[],[f148,f91]) ).

fof(f148,plain,
    ( value(in(n1,or1(h2(f))),n0)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl0_13
  <=> value(in(n1,or1(h2(f))),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f630,plain,
    ( value(in(n1,or1(h2(f))),n1)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f628,plain,
    ( spl0_79
  <=> value(in(n1,or1(h2(f))),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f934,plain,
    ( spl0_108
    | ~ spl0_76
    | ~ spl0_109
    | spl0_79
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f926,f537,f628,f931,f615,f928]) ).

fof(f615,plain,
    ( spl0_76
  <=> mode(or1(h2(f)),ok) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f537,plain,
    ( spl0_69
  <=> value(out(n1,or1(h2(f))),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f926,plain,
    ( ! [X0] :
        ( value(in(n1,or1(h2(f))),n1)
        | ~ type(or1(h2(f)),or)
        | ~ mode(or1(h2(f)),ok)
        | value(X0,n1)
        | ~ connection(X0,in(n2,or1(h2(f)))) )
    | ~ spl0_69 ),
    inference(resolution,[],[f922,f539]) ).

fof(f539,plain,
    ( value(out(n1,or1(h2(f))),n1)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f922,plain,
    ! [X0,X1] :
      ( ~ value(out(n1,X0),n1)
      | value(in(n1,X0),n1)
      | ~ type(X0,or)
      | ~ mode(X0,ok)
      | value(X1,n1)
      | ~ connection(X1,in(n2,X0)) ),
    inference(resolution,[],[f15,f2]) ).

fof(f15,axiom,
    ! [X6] :
      ( value(in(n2,X6),n1)
      | value(in(n1,X6),n1)
      | ~ value(out(n1,X6),n1)
      | ~ type(X6,or)
      | ~ mode(X6,ok) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',or_1_11) ).

fof(f831,plain,
    ( ~ spl0_11
    | spl0_100
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f826,f717,f828,f130]) ).

fof(f717,plain,
    ( spl0_87
  <=> value(in(n2,or1(f)),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f826,plain,
    ( value(out(c,h1(f)),n0)
    | ~ type(f,fulladder)
    | ~ spl0_87 ),
    inference(resolution,[],[f810,f39]) ).

fof(f39,axiom,
    ! [X8] :
      ( connection(out(c,h1(X8)),in(n2,or1(X8)))
      | ~ type(X8,fulladder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',fulladder_connection_outch1_in2or1) ).

fof(f810,plain,
    ( ! [X0] :
        ( ~ connection(X0,in(n2,or1(f)))
        | value(X0,n0) )
    | ~ spl0_87 ),
    inference(resolution,[],[f719,f2]) ).

fof(f719,plain,
    ( value(in(n2,or1(f)),n0)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f720,plain,
    ( ~ spl0_53
    | ~ spl0_54
    | spl0_87
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f715,f385,f717,f427,f423]) ).

fof(f423,plain,
    ( spl0_53
  <=> mode(or1(f),ok) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f427,plain,
    ( spl0_54
  <=> type(or1(f),or) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f385,plain,
    ( spl0_48
  <=> value(out(n1,or1(f)),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f715,plain,
    ( value(in(n2,or1(f)),n0)
    | ~ type(or1(f),or)
    | ~ mode(or1(f),ok)
    | ~ spl0_48 ),
    inference(resolution,[],[f17,f387]) ).

fof(f387,plain,
    ( value(out(n1,or1(f)),n0)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f17,axiom,
    ! [X6] :
      ( ~ value(out(n1,X6),n0)
      | value(in(n2,X6),n0)
      | ~ type(X6,or)
      | ~ mode(X6,ok) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',or_0_01) ).

fof(f675,plain,
    ( spl0_82
    | spl0_5
    | spl0_76 ),
    inference(avatar_split_clause,[],[f671,f615,f77,f673]) ).

fof(f77,plain,
    ( spl0_5
  <=> mode(or1(h2(f)),abnormal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f671,plain,
    ( ! [X0] :
        ( mode(or1(h2(f)),abnormal)
        | ~ type(or1(h2(f)),X0) )
    | spl0_76 ),
    inference(resolution,[],[f617,f7]) ).

fof(f617,plain,
    ( ~ mode(or1(h2(f)),ok)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f560,plain,
    ( ~ spl0_11
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f557,f461,f130]) ).

fof(f461,plain,
    ( spl0_58
  <=> ! [X0] : ~ type(or1(f),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f557,plain,
    ( ~ type(f,fulladder)
    | ~ spl0_58 ),
    inference(resolution,[],[f462,f37]) ).

fof(f37,axiom,
    ! [X8] :
      ( type(or1(X8),or)
      | ~ type(X8,fulladder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',fulladder_or1) ).

fof(f462,plain,
    ( ! [X0] : ~ type(or1(f),X0)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f546,plain,
    ( ~ spl0_11
    | spl0_54 ),
    inference(avatar_split_clause,[],[f544,f427,f130]) ).

fof(f544,plain,
    ( ~ type(f,fulladder)
    | spl0_54 ),
    inference(resolution,[],[f429,f37]) ).

fof(f429,plain,
    ( ~ type(or1(f),or)
    | spl0_54 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f540,plain,
    ( ~ spl0_12
    | spl0_69
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f535,f408,f537,f142]) ).

fof(f408,plain,
    ( spl0_51
  <=> value(in(n1,and1(h2(f))),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f535,plain,
    ( value(out(n1,or1(h2(f))),n1)
    | ~ type(h2(f),halfadder)
    | ~ spl0_51 ),
    inference(resolution,[],[f489,f32]) ).

fof(f32,axiom,
    ! [X8] :
      ( connection(out(n1,or1(X8)),in(n1,and1(X8)))
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',halfadder_connection_out1or1_in1_and1) ).

fof(f489,plain,
    ( ! [X0] :
        ( ~ connection(X0,in(n1,and1(h2(f))))
        | value(X0,n1) )
    | ~ spl0_51 ),
    inference(resolution,[],[f410,f2]) ).

fof(f410,plain,
    ( value(in(n1,and1(h2(f))),n1)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f478,plain,
    ( ~ spl0_12
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f476,f414,f142]) ).

fof(f414,plain,
    ( spl0_52
  <=> ! [X0] : ~ type(and1(h2(f)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f476,plain,
    ( ~ type(h2(f),halfadder)
    | ~ spl0_52 ),
    inference(resolution,[],[f415,f22]) ).

fof(f415,plain,
    ( ! [X0] : ~ type(and1(h2(f)),X0)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f473,plain,
    ( ~ spl0_12
    | spl0_50 ),
    inference(avatar_split_clause,[],[f472,f404,f142]) ).

fof(f404,plain,
    ( spl0_50
  <=> type(and1(h2(f)),and) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f472,plain,
    ( ~ type(h2(f),halfadder)
    | spl0_50 ),
    inference(resolution,[],[f406,f22]) ).

fof(f406,plain,
    ( ~ type(and1(h2(f)),and)
    | spl0_50 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f463,plain,
    ( spl0_58
    | spl0_1
    | spl0_53 ),
    inference(avatar_split_clause,[],[f459,f423,f58,f461]) ).

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

fof(f459,plain,
    ( ! [X0] :
        ( mode(or1(f),abnormal)
        | ~ type(or1(f),X0) )
    | spl0_53 ),
    inference(resolution,[],[f425,f7]) ).

fof(f425,plain,
    ( ~ mode(or1(f),ok)
    | spl0_53 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f416,plain,
    ( spl0_52
    | spl0_4
    | spl0_49 ),
    inference(avatar_split_clause,[],[f412,f400,f72,f414]) ).

fof(f72,plain,
    ( spl0_4
  <=> mode(and1(h2(f)),abnormal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f400,plain,
    ( spl0_49
  <=> mode(and1(h2(f)),ok) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f412,plain,
    ( ! [X0] :
        ( mode(and1(h2(f)),abnormal)
        | ~ type(and1(h2(f)),X0) )
    | spl0_49 ),
    inference(resolution,[],[f402,f7]) ).

fof(f402,plain,
    ( ~ mode(and1(h2(f)),ok)
    | spl0_49 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f411,plain,
    ( ~ spl0_49
    | ~ spl0_50
    | spl0_51
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f398,f376,f408,f404,f400]) ).

fof(f376,plain,
    ( spl0_47
  <=> value(out(n1,and1(h2(f))),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f398,plain,
    ( value(in(n1,and1(h2(f))),n1)
    | ~ type(and1(h2(f)),and)
    | ~ mode(and1(h2(f)),ok)
    | ~ spl0_47 ),
    inference(resolution,[],[f11,f378]) ).

fof(f378,plain,
    ( value(out(n1,and1(h2(f))),n1)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f11,axiom,
    ! [X6] :
      ( ~ value(out(n1,X6),n1)
      | value(in(n1,X6),n1)
      | ~ type(X6,and)
      | ~ mode(X6,ok) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',and_1_1x) ).

fof(f388,plain,
    ( spl0_48
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f383,f130,f385]) ).

fof(f383,plain,
    ( ~ type(f,fulladder)
    | value(out(n1,or1(f)),n0) ),
    inference(resolution,[],[f45,f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ connection(out(c,f),X0)
      | value(X0,n0) ),
    inference(resolution,[],[f1,f51]) ).

fof(f51,axiom,
    value(out(c,f),n0),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',outc_0) ).

fof(f45,axiom,
    ! [X8] :
      ( connection(out(c,X8),out(n1,or1(X8)))
      | ~ type(X8,fulladder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',fulladder_connection_outc_out1or1) ).

fof(f379,plain,
    ( ~ spl0_12
    | spl0_47
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f373,f366,f376,f142]) ).

fof(f366,plain,
    ( spl0_46
  <=> value(out(s,h2(f)),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f373,plain,
    ( value(out(n1,and1(h2(f))),n1)
    | ~ type(h2(f),halfadder)
    | ~ spl0_46 ),
    inference(resolution,[],[f371,f30]) ).

fof(f371,plain,
    ( ! [X0] :
        ( ~ connection(out(s,h2(f)),X0)
        | value(X0,n1) )
    | ~ spl0_46 ),
    inference(resolution,[],[f368,f1]) ).

fof(f368,plain,
    ( value(out(s,h2(f)),n1)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f369,plain,
    ( spl0_46
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f364,f130,f366]) ).

fof(f364,plain,
    ( ~ type(f,fulladder)
    | value(out(s,h2(f)),n1) ),
    inference(resolution,[],[f44,f84]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ connection(out(s,f),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f1,f50]) ).

fof(f50,axiom,
    value(out(s,f),n1),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',outs_1) ).

fof(f44,axiom,
    ! [X8] :
      ( connection(out(s,X8),out(s,h2(X8)))
      | ~ type(X8,fulladder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',fulladder_connection_outs_outsh2) ).

fof(f292,plain,
    ( ~ spl0_18
    | spl0_34
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f285,f278,f289,f194]) ).

fof(f278,plain,
    ( spl0_33
  <=> value(in(n2,h1(f)),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f285,plain,
    ( value(in(n2,and2(h1(f))),n1)
    | ~ type(h1(f),halfadder)
    | ~ spl0_33 ),
    inference(resolution,[],[f283,f29]) ).

fof(f29,axiom,
    ! [X8] :
      ( connection(in(n2,X8),in(n2,and2(X8)))
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',halfadder_connection_in2_in2and2) ).

fof(f283,plain,
    ( ! [X0] :
        ( ~ connection(in(n2,h1(f)),X0)
        | value(X0,n1) )
    | ~ spl0_33 ),
    inference(resolution,[],[f280,f1]) ).

fof(f280,plain,
    ( value(in(n2,h1(f)),n1)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f281,plain,
    ( spl0_33
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f276,f130,f278]) ).

fof(f276,plain,
    ( ~ type(f,fulladder)
    | value(in(n2,h1(f)),n1) ),
    inference(resolution,[],[f43,f83]) ).

fof(f83,plain,
    ! [X0] :
      ( ~ connection(in(c,f),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f1,f49]) ).

fof(f49,axiom,
    value(in(c,f),n1),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',inc_1) ).

fof(f43,axiom,
    ! [X8] :
      ( connection(in(c,X8),in(n2,h1(X8)))
      | ~ type(X8,fulladder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',fulladder_connection_inc_in2h1) ).

fof(f217,plain,
    ( ~ spl0_11
    | spl0_18 ),
    inference(avatar_split_clause,[],[f216,f194,f130]) ).

fof(f216,plain,
    ( ~ type(f,fulladder)
    | spl0_18 ),
    inference(resolution,[],[f196,f35]) ).

fof(f35,axiom,
    ! [X8] :
      ( type(h1(X8),halfadder)
      | ~ type(X8,fulladder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',fulladder_halfadder1) ).

fof(f196,plain,
    ( ~ type(h1(f),halfadder)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f201,plain,
    ( ~ spl0_18
    | spl0_19
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f190,f170,f198,f194]) ).

fof(f170,plain,
    ( spl0_17
  <=> value(in(n1,h1(f)),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f190,plain,
    ( value(in(n1,and2(h1(f))),n1)
    | ~ type(h1(f),halfadder)
    | ~ spl0_17 ),
    inference(resolution,[],[f178,f28]) ).

fof(f28,axiom,
    ! [X8] :
      ( connection(in(n1,X8),in(n1,and2(X8)))
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',halfadder_connection_in1_in1and2) ).

fof(f178,plain,
    ( ! [X0] :
        ( ~ connection(in(n1,h1(f)),X0)
        | value(X0,n1) )
    | ~ spl0_17 ),
    inference(resolution,[],[f172,f1]) ).

fof(f172,plain,
    ( value(in(n1,h1(f)),n1)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f173,plain,
    ( spl0_17
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f168,f130,f170]) ).

fof(f168,plain,
    ( ~ type(f,fulladder)
    | value(in(n1,h1(f)),n1) ),
    inference(resolution,[],[f42,f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ connection(in(n2,f),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f1,f48]) ).

fof(f48,axiom,
    value(in(n2,f),n1),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',in2_0) ).

fof(f42,axiom,
    ! [X8] :
      ( connection(in(n2,X8),in(n1,h1(X8)))
      | ~ type(X8,fulladder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',fulladder_connection_in2_in1h1) ).

fof(f167,plain,
    ( ~ spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f166,f142,f130]) ).

fof(f166,plain,
    ( ~ type(f,fulladder)
    | spl0_12 ),
    inference(resolution,[],[f144,f36]) ).

fof(f36,axiom,
    ! [X8] :
      ( type(h2(X8),halfadder)
      | ~ type(X8,fulladder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',fulladder_halfadder2) ).

fof(f144,plain,
    ( ~ type(h2(f),halfadder)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f165,plain,
    spl0_11,
    inference(avatar_contradiction_clause,[],[f164]) ).

fof(f164,plain,
    ( $false
    | spl0_11 ),
    inference(resolution,[],[f132,f46]) ).

fof(f46,axiom,
    type(f,fulladder),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',f_isa_fulladder) ).

fof(f132,plain,
    ( ~ type(f,fulladder)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f149,plain,
    ( ~ spl0_12
    | spl0_13
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f138,f126,f146,f142]) ).

fof(f126,plain,
    ( spl0_10
  <=> value(in(n1,h2(f)),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f138,plain,
    ( value(in(n1,or1(h2(f))),n0)
    | ~ type(h2(f),halfadder)
    | ~ spl0_10 ),
    inference(resolution,[],[f136,f26]) ).

fof(f26,axiom,
    ! [X8] :
      ( connection(in(n1,X8),in(n1,or1(X8)))
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',halfadder_connection_in1_in1or1) ).

fof(f136,plain,
    ( ! [X0] :
        ( ~ connection(in(n1,h2(f)),X0)
        | value(X0,n0) )
    | ~ spl0_10 ),
    inference(resolution,[],[f128,f1]) ).

fof(f128,plain,
    ( value(in(n1,h2(f)),n0)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f133,plain,
    ( spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f124,f130,f126]) ).

fof(f124,plain,
    ( ~ type(f,fulladder)
    | value(in(n1,h2(f)),n0) ),
    inference(resolution,[],[f41,f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ connection(in(n1,f),X0)
      | value(X0,n0) ),
    inference(resolution,[],[f1,f47]) ).

fof(f47,axiom,
    value(in(n1,f),n0),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',in1_1) ).

fof(f41,axiom,
    ! [X8] :
      ( connection(in(n1,X8),in(n1,h2(X8)))
      | ~ type(X8,fulladder) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',fulladder_connection_in1_in1h2) ).

fof(f80,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f56,f77,f58]) ).

fof(f56,axiom,
    ( ~ mode(or1(h2(f)),abnormal)
    | ~ mode(or1(f),abnormal) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',diagnosis_or1_or1h2) ).

fof(f75,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f55,f72,f58]) ).

fof(f55,axiom,
    ( ~ mode(and1(h2(f)),abnormal)
    | ~ mode(or1(f),abnormal) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',diagnosis_or1_and1h2) ).

fof(f70,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f54,f67,f58]) ).

fof(f54,axiom,
    ( ~ mode(not1(h1(f)),abnormal)
    | ~ mode(or1(f),abnormal) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',diagnosis_or1_not1h1) ).

fof(f65,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f53,f62,f58]) ).

fof(f53,axiom,
    ( ~ mode(and1(h1(f)),abnormal)
    | ~ mode(or1(f),abnormal) ),
    file('/export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754',diagnosis_or1_and1h1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : HWV007-1 : TPTP v8.1.2. Released v2.1.0.
% 0.15/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n011.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:48:02 EDT 2024
% 0.22/0.36  % CPUTime    : 
% 0.22/0.36  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.22/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.19VRbqItS6/Vampire---4.8_21754
% 0.57/0.75  % (21892)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.75  % (21886)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75  % (21889)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75  % (21887)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.75  % (21891)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75  % (21893)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.75  % (21888)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (21890)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75  % (21889)Refutation not found, incomplete strategy% (21889)------------------------------
% 0.57/0.75  % (21889)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (21889)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (21889)Memory used [KB]: 999
% 0.57/0.75  % (21889)Time elapsed: 0.003 s
% 0.57/0.75  % (21889)Instructions burned: 3 (million)
% 0.57/0.75  % (21889)------------------------------
% 0.57/0.75  % (21889)------------------------------
% 0.57/0.75  % (21891)Refutation not found, incomplete strategy% (21891)------------------------------
% 0.57/0.75  % (21891)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (21891)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (21891)Memory used [KB]: 1061
% 0.57/0.75  % (21891)Time elapsed: 0.003 s
% 0.57/0.75  % (21891)Instructions burned: 3 (million)
% 0.57/0.75  % (21891)------------------------------
% 0.57/0.75  % (21891)------------------------------
% 0.57/0.76  % (21888)Refutation not found, incomplete strategy% (21888)------------------------------
% 0.57/0.76  % (21888)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (21888)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (21888)Memory used [KB]: 1073
% 0.57/0.76  % (21888)Time elapsed: 0.003 s
% 0.57/0.76  % (21888)Instructions burned: 4 (million)
% 0.57/0.76  % (21888)------------------------------
% 0.57/0.76  % (21888)------------------------------
% 0.57/0.76  % (21886)Refutation not found, incomplete strategy% (21886)------------------------------
% 0.57/0.76  % (21886)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (21886)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (21886)Memory used [KB]: 1100
% 0.57/0.76  % (21886)Time elapsed: 0.005 s
% 0.57/0.76  % (21886)Instructions burned: 6 (million)
% 0.57/0.76  % (21893)Refutation not found, incomplete strategy% (21893)------------------------------
% 0.57/0.76  % (21893)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (21893)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (21893)Memory used [KB]: 1088
% 0.57/0.76  % (21893)Time elapsed: 0.004 s
% 0.57/0.76  % (21893)Instructions burned: 5 (million)
% 0.57/0.76  % (21893)------------------------------
% 0.57/0.76  % (21893)------------------------------
% 0.57/0.76  % (21886)------------------------------
% 0.57/0.76  % (21886)------------------------------
% 0.57/0.76  % (21896)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.57/0.76  % (21894)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.76  % (21895)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.62/0.76  % (21890)Refutation not found, incomplete strategy% (21890)------------------------------
% 0.62/0.76  % (21890)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.76  % (21890)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76  
% 0.62/0.76  % (21890)Memory used [KB]: 1099
% 0.62/0.76  % (21890)Time elapsed: 0.007 s
% 0.62/0.76  % (21890)Instructions burned: 11 (million)
% 0.62/0.76  % (21890)------------------------------
% 0.62/0.76  % (21890)------------------------------
% 0.62/0.76  % (21894)Refutation not found, incomplete strategy% (21894)------------------------------
% 0.62/0.76  % (21894)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.76  % (21894)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76  
% 0.62/0.76  % (21894)Memory used [KB]: 999
% 0.62/0.76  % (21894)Time elapsed: 0.003 s
% 0.62/0.76  % (21894)Instructions burned: 3 (million)
% 0.62/0.76  % (21894)------------------------------
% 0.62/0.76  % (21894)------------------------------
% 0.62/0.76  % (21898)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.62/0.76  % (21898)Refutation not found, incomplete strategy% (21898)------------------------------
% 0.62/0.76  % (21898)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.76  % (21899)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.62/0.76  % (21898)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76  
% 0.62/0.76  % (21898)Memory used [KB]: 1096
% 0.62/0.76  % (21898)Time elapsed: 0.005 s
% 0.62/0.76  % (21898)Instructions burned: 6 (million)
% 0.62/0.76  % (21898)------------------------------
% 0.62/0.76  % (21898)------------------------------
% 0.62/0.76  % (21897)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.62/0.77  % (21899)Refutation not found, incomplete strategy% (21899)------------------------------
% 0.62/0.77  % (21899)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77  % (21899)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.77  
% 0.62/0.77  % (21899)Memory used [KB]: 1066
% 0.62/0.77  % (21899)Time elapsed: 0.003 s
% 0.62/0.77  % (21899)Instructions burned: 3 (million)
% 0.62/0.77  % (21899)------------------------------
% 0.62/0.77  % (21899)------------------------------
% 0.62/0.77  % (21900)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.62/0.77  % (21892)Refutation not found, incomplete strategy% (21892)------------------------------
% 0.62/0.77  % (21892)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77  % (21892)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.77  
% 0.62/0.77  % (21892)Memory used [KB]: 1570
% 0.62/0.77  % (21892)Time elapsed: 0.016 s
% 0.62/0.77  % (21892)Instructions burned: 48 (million)
% 0.62/0.77  % (21892)------------------------------
% 0.62/0.77  % (21892)------------------------------
% 0.62/0.77  % (21901)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.62/0.77  % (21903)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.62/0.77  % (21902)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.62/0.77  % (21900)Refutation not found, incomplete strategy% (21900)------------------------------
% 0.62/0.77  % (21900)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77  % (21900)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.77  
% 0.62/0.77  % (21900)Memory used [KB]: 1141
% 0.62/0.77  % (21900)Time elapsed: 0.008 s
% 0.62/0.77  % (21900)Instructions burned: 11 (million)
% 0.62/0.77  % (21900)------------------------------
% 0.62/0.77  % (21900)------------------------------
% 0.62/0.77  % (21896)Refutation not found, incomplete strategy% (21896)------------------------------
% 0.62/0.77  % (21896)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77  % (21896)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.77  
% 0.62/0.77  % (21896)Memory used [KB]: 1346
% 0.62/0.77  % (21896)Time elapsed: 0.015 s
% 0.62/0.77  % (21896)Instructions burned: 27 (million)
% 0.62/0.77  % (21896)------------------------------
% 0.62/0.77  % (21896)------------------------------
% 0.62/0.77  % (21887)First to succeed.
% 0.62/0.78  % (21904)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.62/0.78  % (21887)Refutation found. Thanks to Tanya!
% 0.62/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.78  % (21887)------------------------------
% 0.62/0.78  % (21887)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (21887)Termination reason: Refutation
% 0.62/0.78  
% 0.62/0.78  % (21887)Memory used [KB]: 1461
% 0.62/0.78  % (21887)Time elapsed: 0.025 s
% 0.62/0.78  % (21887)Instructions burned: 38 (million)
% 0.62/0.78  % (21887)------------------------------
% 0.62/0.78  % (21887)------------------------------
% 0.62/0.78  % (21885)Success in time 0.4 s
% 0.62/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------