TSTP Solution File: HWV005-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HWV005-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n017.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 : Sun May  5 06:12:06 EDT 2024

% Result   : Unsatisfiable 0.55s 0.79s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   46
% Syntax   : Number of formulae    :  126 (  13 unt;   0 def)
%            Number of atoms       :  285 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  305 ( 146   ~; 137   |;   0   &)
%                                         (  22 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   28 (  27 usr;  23 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  12 con; 0-2 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f418,plain,
    $false,
    inference(avatar_sat_refutation,[],[f68,f70,f148,f159,f170,f204,f229,f233,f234,f237,f264,f333,f336,f337,f340,f343,f350,f362,f378,f400,f401,f404,f412]) ).

fof(f412,plain,
    ( ~ spl0_1
    | ~ spl0_40 ),
    inference(avatar_contradiction_clause,[],[f407]) ).

fof(f407,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_40 ),
    inference(resolution,[],[f377,f74]) ).

fof(f74,plain,
    ( ~ value(in(n1,or1(h)),n0)
    | ~ spl0_1 ),
    inference(resolution,[],[f71,f4]) ).

fof(f4,axiom,
    ~ equal_value(n0,n1),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',equal_value1) ).

fof(f71,plain,
    ( ! [X0] :
        ( equal_value(X0,n1)
        | ~ value(in(n1,or1(h)),X0) )
    | ~ spl0_1 ),
    inference(resolution,[],[f63,f3]) ).

fof(f3,axiom,
    ! [X3,X4,X5] :
      ( ~ value(X3,X5)
      | equal_value(X4,X5)
      | ~ value(X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',unique_value) ).

fof(f63,plain,
    ( value(in(n1,or1(h)),n1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl0_1
  <=> value(in(n1,or1(h)),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f377,plain,
    ( value(in(n1,or1(h)),n0)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f375,plain,
    ( spl0_40
  <=> value(in(n1,or1(h)),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f404,plain,
    ~ spl0_42,
    inference(avatar_contradiction_clause,[],[f402]) ).

fof(f402,plain,
    ( $false
    | ~ spl0_42 ),
    inference(resolution,[],[f386,f42]) ).

fof(f42,axiom,
    ~ mode(or1(h),abnormal),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',diagnosis_or1) ).

fof(f386,plain,
    ( mode(or1(h),abnormal)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f384,plain,
    ( spl0_42
  <=> mode(or1(h),abnormal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f401,plain,
    ( spl0_41
    | spl0_42
    | spl0_39 ),
    inference(avatar_split_clause,[],[f398,f371,f384,f381]) ).

fof(f381,plain,
    ( spl0_41
  <=> ! [X0] : ~ type(or1(h),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f371,plain,
    ( spl0_39
  <=> mode(or1(h),ok) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f398,plain,
    ( ! [X0] :
        ( mode(or1(h),abnormal)
        | ~ type(or1(h),X0) )
    | spl0_39 ),
    inference(resolution,[],[f373,f7]) ).

fof(f7,axiom,
    ! [X6,X7] :
      ( mode(X6,ok)
      | mode(X6,abnormal)
      | ~ type(X6,X7) ),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',ok_or_abnormal) ).

fof(f373,plain,
    ( ~ mode(or1(h),ok)
    | spl0_39 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f400,plain,
    ( ~ spl0_2
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f399,f381,f65]) ).

fof(f65,plain,
    ( spl0_2
  <=> type(h,halfadder) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f399,plain,
    ( ~ type(h,halfadder)
    | ~ spl0_41 ),
    inference(resolution,[],[f382,f25]) ).

fof(f25,axiom,
    ! [X8] :
      ( type(or1(X8),or)
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',halfadder_or1) ).

fof(f382,plain,
    ( ! [X0] : ~ type(or1(h),X0)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f378,plain,
    ( ~ spl0_2
    | ~ spl0_39
    | spl0_40
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f364,f359,f375,f371,f65]) ).

fof(f359,plain,
    ( spl0_38
  <=> value(out(n1,or1(h)),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f364,plain,
    ( value(in(n1,or1(h)),n0)
    | ~ mode(or1(h),ok)
    | ~ type(h,halfadder)
    | ~ spl0_38 ),
    inference(resolution,[],[f361,f189]) ).

fof(f189,plain,
    ! [X0] :
      ( ~ value(out(n1,or1(X0)),n0)
      | value(in(n1,or1(X0)),n0)
      | ~ mode(or1(X0),ok)
      | ~ type(X0,halfadder) ),
    inference(resolution,[],[f16,f25]) ).

fof(f16,axiom,
    ! [X6] :
      ( ~ type(X6,or)
      | ~ value(out(n1,X6),n0)
      | value(in(n1,X6),n0)
      | ~ mode(X6,ok) ),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',or_0_0x) ).

fof(f361,plain,
    ( value(out(n1,or1(h)),n0)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f362,plain,
    ( ~ spl0_2
    | spl0_38
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f357,f330,f359,f65]) ).

fof(f330,plain,
    ( spl0_37
  <=> value(in(n1,and1(h)),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f357,plain,
    ( value(out(n1,or1(h)),n0)
    | ~ type(h,halfadder)
    | ~ spl0_37 ),
    inference(resolution,[],[f354,f32]) ).

fof(f32,axiom,
    ! [X8] :
      ( connection(out(n1,or1(X8)),in(n1,and1(X8)))
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',halfadder_connection_out1or1_in1_and1) ).

fof(f354,plain,
    ( ! [X0] :
        ( ~ connection(X0,in(n1,and1(h)))
        | value(X0,n0) )
    | ~ spl0_37 ),
    inference(resolution,[],[f332,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ~ value(X1,X2)
      | value(X0,X2)
      | ~ connection(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',value_propagation2) ).

fof(f332,plain,
    ( value(in(n1,and1(h)),n0)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f350,plain,
    ( ~ spl0_26
    | ~ spl0_36 ),
    inference(avatar_contradiction_clause,[],[f345]) ).

fof(f345,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_36 ),
    inference(resolution,[],[f328,f268]) ).

fof(f268,plain,
    ( ~ value(in(n2,and1(h)),n0)
    | ~ spl0_26 ),
    inference(resolution,[],[f265,f4]) ).

fof(f265,plain,
    ( ! [X0] :
        ( equal_value(X0,n1)
        | ~ value(in(n2,and1(h)),X0) )
    | ~ spl0_26 ),
    inference(resolution,[],[f263,f3]) ).

fof(f263,plain,
    ( value(in(n2,and1(h)),n1)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl0_26
  <=> value(in(n2,and1(h)),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f328,plain,
    ( value(in(n2,and1(h)),n0)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f326,plain,
    ( spl0_36
  <=> value(in(n2,and1(h)),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f343,plain,
    ( ~ spl0_2
    | spl0_34 ),
    inference(avatar_split_clause,[],[f342,f315,f65]) ).

fof(f315,plain,
    ( spl0_34
  <=> type(and1(h),and) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f342,plain,
    ( ~ type(h,halfadder)
    | spl0_34 ),
    inference(resolution,[],[f317,f22]) ).

fof(f22,axiom,
    ! [X8] :
      ( type(and1(X8),and)
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',halfadder_and1) ).

fof(f317,plain,
    ( ~ type(and1(h),and)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f340,plain,
    ~ spl0_33,
    inference(avatar_contradiction_clause,[],[f338]) ).

fof(f338,plain,
    ( $false
    | ~ spl0_33 ),
    inference(resolution,[],[f304,f40]) ).

fof(f40,axiom,
    ~ mode(and1(h),abnormal),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',diagnosis_and1) ).

fof(f304,plain,
    ( mode(and1(h),abnormal)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f302,plain,
    ( spl0_33
  <=> mode(and1(h),abnormal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f337,plain,
    ( spl0_32
    | spl0_33
    | spl0_29 ),
    inference(avatar_split_clause,[],[f334,f285,f302,f299]) ).

fof(f299,plain,
    ( spl0_32
  <=> ! [X0] : ~ type(and1(h),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f285,plain,
    ( spl0_29
  <=> mode(and1(h),ok) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f334,plain,
    ( ! [X0] :
        ( mode(and1(h),abnormal)
        | ~ type(and1(h),X0) )
    | spl0_29 ),
    inference(resolution,[],[f287,f7]) ).

fof(f287,plain,
    ( ~ mode(and1(h),ok)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f336,plain,
    ( ~ spl0_2
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f335,f299,f65]) ).

fof(f335,plain,
    ( ~ type(h,halfadder)
    | ~ spl0_32 ),
    inference(resolution,[],[f300,f22]) ).

fof(f300,plain,
    ( ! [X0] : ~ type(and1(h),X0)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f333,plain,
    ( ~ spl0_29
    | ~ spl0_34
    | spl0_36
    | spl0_37
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f323,f145,f330,f326,f315,f285]) ).

fof(f145,plain,
    ( spl0_11
  <=> value(out(n1,and1(h)),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f323,plain,
    ( value(in(n1,and1(h)),n0)
    | value(in(n2,and1(h)),n0)
    | ~ type(and1(h),and)
    | ~ mode(and1(h),ok)
    | ~ spl0_11 ),
    inference(resolution,[],[f10,f147]) ).

fof(f147,plain,
    ( value(out(n1,and1(h)),n0)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f145]) ).

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/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',and_0_00) ).

fof(f264,plain,
    ( ~ spl0_2
    | spl0_26
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f259,f201,f261,f65]) ).

fof(f201,plain,
    ( spl0_18
  <=> value(out(n1,not1(h)),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f259,plain,
    ( value(in(n2,and1(h)),n1)
    | ~ type(h,halfadder)
    | ~ spl0_18 ),
    inference(resolution,[],[f243,f34]) ).

fof(f34,axiom,
    ! [X8] :
      ( connection(out(n1,not1(X8)),in(n2,and1(X8)))
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',halfadder_connection_out1not1_in2and1) ).

fof(f243,plain,
    ( ! [X0] :
        ( ~ connection(out(n1,not1(h)),X0)
        | value(X0,n1) )
    | ~ spl0_18 ),
    inference(resolution,[],[f203,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ value(X0,X2)
      | value(X1,X2)
      | ~ connection(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',value_propagation1) ).

fof(f203,plain,
    ( value(out(n1,not1(h)),n1)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f237,plain,
    ~ spl0_20,
    inference(avatar_contradiction_clause,[],[f235]) ).

fof(f235,plain,
    ( $false
    | ~ spl0_20 ),
    inference(resolution,[],[f212,f41]) ).

fof(f41,axiom,
    ~ mode(not1(h),abnormal),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',diagnosis_not1) ).

fof(f212,plain,
    ( mode(not1(h),abnormal)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f210,plain,
    ( spl0_20
  <=> mode(not1(h),abnormal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f234,plain,
    ( spl0_19
    | spl0_20
    | spl0_16 ),
    inference(avatar_split_clause,[],[f227,f193,f210,f207]) ).

fof(f207,plain,
    ( spl0_19
  <=> ! [X0] : ~ type(not1(h),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f193,plain,
    ( spl0_16
  <=> mode(not1(h),ok) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f227,plain,
    ( ! [X0] :
        ( mode(not1(h),abnormal)
        | ~ type(not1(h),X0) )
    | spl0_16 ),
    inference(resolution,[],[f195,f7]) ).

fof(f195,plain,
    ( ~ mode(not1(h),ok)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f233,plain,
    ( ~ spl0_2
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f231,f207,f65]) ).

fof(f231,plain,
    ( ~ type(h,halfadder)
    | ~ spl0_19 ),
    inference(resolution,[],[f208,f24]) ).

fof(f24,axiom,
    ! [X8] :
      ( type(not1(X8),not)
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',halfadder_not1) ).

fof(f208,plain,
    ( ! [X0] : ~ type(not1(h),X0)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f229,plain,
    ( ~ spl0_2
    | spl0_17 ),
    inference(avatar_split_clause,[],[f228,f197,f65]) ).

fof(f197,plain,
    ( spl0_17
  <=> type(not1(h),not) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f228,plain,
    ( ~ type(h,halfadder)
    | spl0_17 ),
    inference(resolution,[],[f199,f24]) ).

fof(f199,plain,
    ( ~ type(not1(h),not)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f204,plain,
    ( ~ spl0_16
    | ~ spl0_17
    | spl0_18
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f191,f167,f201,f197,f193]) ).

fof(f167,plain,
    ( spl0_13
  <=> value(in(n1,not1(h)),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f191,plain,
    ( value(out(n1,not1(h)),n1)
    | ~ type(not1(h),not)
    | ~ mode(not1(h),ok)
    | ~ spl0_13 ),
    inference(resolution,[],[f18,f169]) ).

fof(f169,plain,
    ( value(in(n1,not1(h)),n0)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f18,axiom,
    ! [X6] :
      ( ~ value(in(n1,X6),n0)
      | value(out(n1,X6),n1)
      | ~ type(X6,not)
      | ~ mode(X6,ok) ),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',not_0_1_fw) ).

fof(f170,plain,
    ( spl0_13
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f165,f156,f65,f167]) ).

fof(f156,plain,
    ( spl0_12
  <=> value(out(n1,and2(h)),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f165,plain,
    ( ~ type(h,halfadder)
    | value(in(n1,not1(h)),n0)
    | ~ spl0_12 ),
    inference(resolution,[],[f33,f162]) ).

fof(f162,plain,
    ( ! [X0] :
        ( ~ connection(out(n1,and2(h)),X0)
        | value(X0,n0) )
    | ~ spl0_12 ),
    inference(resolution,[],[f158,f1]) ).

fof(f158,plain,
    ( value(out(n1,and2(h)),n0)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f33,axiom,
    ! [X8] :
      ( connection(out(n1,and2(X8)),in(n1,not1(X8)))
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',halfadder_connection_out1and2_in1not1) ).

fof(f159,plain,
    ( spl0_12
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f154,f65,f156]) ).

fof(f154,plain,
    ( ~ type(h,halfadder)
    | value(out(n1,and2(h)),n0) ),
    inference(resolution,[],[f31,f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ connection(out(c,h),X0)
      | value(X0,n0) ),
    inference(resolution,[],[f1,f39]) ).

fof(f39,axiom,
    value(out(c,h),n0),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',outc_0) ).

fof(f31,axiom,
    ! [X8] :
      ( connection(out(c,X8),out(n1,and2(X8)))
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',halfadder_connection_outc_out1and2) ).

fof(f148,plain,
    ( spl0_11
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f143,f65,f145]) ).

fof(f143,plain,
    ( ~ type(h,halfadder)
    | value(out(n1,and1(h)),n0) ),
    inference(resolution,[],[f30,f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ~ connection(out(s,h),X0)
      | value(X0,n0) ),
    inference(resolution,[],[f1,f38]) ).

fof(f38,axiom,
    value(out(s,h),n0),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',outs_0) ).

fof(f30,axiom,
    ! [X8] :
      ( connection(out(s,X8),out(n1,and1(X8)))
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',halfadder_connection_outs_out1and1) ).

fof(f70,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f69]) ).

fof(f69,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f67,f35]) ).

fof(f35,axiom,
    type(h,halfadder),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',h_isa_halfadder) ).

fof(f67,plain,
    ( ~ type(h,halfadder)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f68,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f59,f65,f61]) ).

fof(f59,plain,
    ( ~ type(h,halfadder)
    | value(in(n1,or1(h)),n1) ),
    inference(resolution,[],[f26,f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ connection(in(n1,h),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f1,f36]) ).

fof(f36,axiom,
    value(in(n1,h),n1),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',in1_1) ).

fof(f26,axiom,
    ! [X8] :
      ( connection(in(n1,X8),in(n1,or1(X8)))
      | ~ type(X8,halfadder) ),
    file('/export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809',halfadder_connection_in1_in1or1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.17  % Problem    : HWV005-1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.19  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.40  % Computer : n017.cluster.edu
% 0.14/0.40  % Model    : x86_64 x86_64
% 0.14/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40  % Memory   : 8042.1875MB
% 0.14/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.40  % CPULimit   : 300
% 0.14/0.40  % WCLimit    : 300
% 0.14/0.40  % DateTime   : Fri May  3 21:30:38 EDT 2024
% 0.14/0.40  % CPUTime    : 
% 0.14/0.40  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.14/0.40  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.ews3HyEDHZ/Vampire---4.8_30809
% 0.55/0.78  % (30924)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)
% 0.55/0.78  % (30917)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)
% 0.55/0.78  % (30919)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.78  % (30921)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)
% 0.55/0.78  % (30918)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)
% 0.55/0.78  % (30920)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)
% 0.55/0.78  % (30922)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)
% 0.55/0.78  % (30923)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)
% 0.55/0.78  % (30924)Refutation not found, incomplete strategy% (30924)------------------------------
% 0.55/0.78  % (30924)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (30924)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (30924)Memory used [KB]: 1110
% 0.55/0.78  % (30924)Time elapsed: 0.003 s
% 0.55/0.78  % (30924)Instructions burned: 6 (million)
% 0.55/0.78  % (30924)------------------------------
% 0.55/0.78  % (30924)------------------------------
% 0.55/0.78  % (30920)Refutation not found, incomplete strategy% (30920)------------------------------
% 0.55/0.78  % (30920)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (30920)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (30920)Memory used [KB]: 978
% 0.55/0.78  % (30920)Time elapsed: 0.003 s
% 0.55/0.78  % (30920)Instructions burned: 2 (million)
% 0.55/0.78  % (30922)Refutation not found, incomplete strategy% (30922)------------------------------
% 0.55/0.78  % (30922)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (30922)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (30922)Memory used [KB]: 981
% 0.55/0.78  % (30922)Time elapsed: 0.003 s
% 0.55/0.78  % (30922)Instructions burned: 3 (million)
% 0.55/0.78  % (30919)Refutation not found, incomplete strategy% (30919)------------------------------
% 0.55/0.78  % (30919)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (30919)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (30919)Memory used [KB]: 990
% 0.55/0.78  % (30920)------------------------------
% 0.55/0.78  % (30920)------------------------------
% 0.55/0.78  % (30919)Time elapsed: 0.003 s
% 0.55/0.78  % (30919)Instructions burned: 4 (million)
% 0.55/0.78  % (30922)------------------------------
% 0.55/0.78  % (30922)------------------------------
% 0.55/0.78  % (30919)------------------------------
% 0.55/0.78  % (30919)------------------------------
% 0.55/0.78  % (30917)Refutation not found, incomplete strategy% (30917)------------------------------
% 0.55/0.78  % (30917)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (30917)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (30917)Memory used [KB]: 1070
% 0.55/0.78  % (30917)Time elapsed: 0.004 s
% 0.55/0.78  % (30917)Instructions burned: 4 (million)
% 0.55/0.78  % (30917)------------------------------
% 0.55/0.78  % (30917)------------------------------
% 0.55/0.78  % (30925)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)
% 0.55/0.78  % (30925)Refutation not found, incomplete strategy% (30925)------------------------------
% 0.55/0.78  % (30925)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (30925)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (30925)Memory used [KB]: 978
% 0.55/0.78  % (30925)Time elapsed: 0.001 s
% 0.55/0.78  % (30925)Instructions burned: 2 (million)
% 0.55/0.78  % (30925)------------------------------
% 0.55/0.78  % (30925)------------------------------
% 0.55/0.79  % (30926)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)
% 0.55/0.79  % (30927)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)
% 0.55/0.79  % (30921)Refutation not found, incomplete strategy% (30921)------------------------------
% 0.55/0.79  % (30921)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.79  % (30921)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.79  % (30928)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)
% 0.55/0.79  
% 0.55/0.79  % (30921)Memory used [KB]: 1085
% 0.55/0.79  % (30921)Time elapsed: 0.008 s
% 0.55/0.79  % (30921)Instructions burned: 11 (million)
% 0.55/0.79  % (30921)------------------------------
% 0.55/0.79  % (30921)------------------------------
% 0.55/0.79  % (30929)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)
% 0.55/0.79  % (30918)First to succeed.
% 0.55/0.79  % (30930)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)
% 0.55/0.79  % (30930)Refutation not found, incomplete strategy% (30930)------------------------------
% 0.55/0.79  % (30930)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.79  % (30930)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.79  
% 0.55/0.79  % (30930)Memory used [KB]: 979
% 0.55/0.79  % (30930)Time elapsed: 0.001 s
% 0.55/0.79  % (30930)Instructions burned: 2 (million)
% 0.55/0.79  % (30930)------------------------------
% 0.55/0.79  % (30930)------------------------------
% 0.55/0.79  % (30918)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30916"
% 0.55/0.79  % (30929)Refutation not found, incomplete strategy% (30929)------------------------------
% 0.55/0.79  % (30929)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.79  % (30929)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.79  
% 0.55/0.79  % (30929)Memory used [KB]: 1065
% 0.55/0.79  % (30929)Time elapsed: 0.004 s
% 0.55/0.79  % (30929)Instructions burned: 4 (million)
% 0.55/0.79  % (30918)Refutation found. Thanks to Tanya!
% 0.55/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.55/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.79  % (30918)------------------------------
% 0.55/0.79  % (30918)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.79  % (30918)Termination reason: Refutation
% 0.55/0.79  
% 0.55/0.79  % (30918)Memory used [KB]: 1166
% 0.55/0.79  % (30918)Time elapsed: 0.010 s
% 0.55/0.79  % (30918)Instructions burned: 13 (million)
% 0.55/0.79  % (30916)Success in time 0.377 s
% 0.55/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------