TSTP Solution File: HWV008-2.002 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : HWV008-2.002 : TPTP v3.4.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:17:34 EDT 2009
% Result : Unsatisfiable 12.3s
% Output : Refutation 12.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 30
% Syntax : Number of formulae : 102 ( 47 unt; 0 def)
% Number of atoms : 174 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 149 ( 77 ~; 72 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-1 aty)
% Number of variables : 61 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(fulladder_connection_outch2_in1or1,plain,
! [A] :
( ~ fulladder(A)
| connection(outc(h2(A)),in1(or1(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167685432,plain,
( ~ fulladder(A)
| connection(outc(h2(A)),in1(or1(A))) ),
inference(rewrite,[status(thm)],[fulladder_connection_outch2_in1or1]),
[] ).
fof(nbit_adder_fulladder2,plain,
! [A] :
( ~ nbit_adder2(A)
| fulladder(f2(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167725648,plain,
( ~ nbit_adder2(A)
| fulladder(f2(A)) ),
inference(rewrite,[status(thm)],[nbit_adder_fulladder2]),
[] ).
fof(a_isa_2bit_adder,plain,
nbit_adder2(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167781408,plain,
nbit_adder2(a),
inference(rewrite,[status(thm)],[a_isa_2bit_adder]),
[] ).
cnf(181189320,plain,
fulladder(f2(a)),
inference(resolution,[status(thm)],[167725648,167781408]),
[] ).
cnf(181969400,plain,
connection(outc(h2(f2(a))),in1(or1(f2(a)))),
inference(resolution,[status(thm)],[167685432,181189320]),
[] ).
fof(fulladder_halfadder2,plain,
! [A] :
( ~ fulladder(A)
| halfadder(h2(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167657144,plain,
( ~ fulladder(A)
| halfadder(h2(A)) ),
inference(rewrite,[status(thm)],[fulladder_halfadder2]),
[] ).
cnf(181817176,plain,
halfadder(h2(f2(a))),
inference(resolution,[status(thm)],[167657144,181189320]),
[] ).
fof(halfadder_and2,plain,
! [A] :
( ~ halfadder(A)
| logic_and(and2(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167573824,plain,
( ~ halfadder(A)
| logic_and(and2(A)) ),
inference(rewrite,[status(thm)],[halfadder_and2]),
[] ).
cnf(182973048,plain,
logic_and(and2(h2(f2(a)))),
inference(resolution,[status(thm)],[181817176,167573824]),
[] ).
fof(and_ok_or_abnormal,plain,
! [A] :
( ~ logic_and(A)
| and_ok(A)
| abnormal(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167437784,plain,
( ~ logic_and(A)
| and_ok(A)
| abnormal(A) ),
inference(rewrite,[status(thm)],[and_ok_or_abnormal]),
[] ).
fof(diagnosis_and2h2f2a,plain,
~ abnormal(and2(h2(f2(a)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167843288,plain,
~ abnormal(and2(h2(f2(a)))),
inference(rewrite,[status(thm)],[diagnosis_and2h2f2a]),
[] ).
cnf(183153200,plain,
and_ok(and2(h2(f2(a)))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[182973048,167437784,167843288]),
[] ).
fof(fulladder_connection_in1_in1h2,plain,
! [A] :
( ~ fulladder(A)
| connection(in1(A),in1(h2(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167689616,plain,
( ~ fulladder(A)
| connection(in1(A),in1(h2(A))) ),
inference(rewrite,[status(thm)],[fulladder_connection_in1_in1h2]),
[] ).
cnf(181845008,plain,
connection(in1(f2(a)),in1(h2(f2(a)))),
inference(resolution,[status(thm)],[167689616,181189320]),
[] ).
fof(value_propagation_zero1,plain,
! [A,B] :
( ~ connection(A,B)
| ~ zero(A)
| zero(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167332416,plain,
( ~ connection(A,B)
| ~ zero(A)
| zero(B) ),
inference(rewrite,[status(thm)],[value_propagation_zero1]),
[] ).
fof(ina2_0,plain,
zero(ina2(a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167795968,plain,
zero(ina2(a)),
inference(rewrite,[status(thm)],[ina2_0]),
[] ).
cnf(181417856,plain,
( ~ connection(ina2(a),A)
| zero(A) ),
inference(resolution,[status(thm)],[167332416,167795968]),
[] ).
fof(nbit_adder_connection_ina2_in1f2,plain,
! [A] :
( ~ nbit_adder2(A)
| connection(ina2(A),in1(f2(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167760200,plain,
( ~ nbit_adder2(A)
| connection(ina2(A),in1(f2(A))) ),
inference(rewrite,[status(thm)],[nbit_adder_connection_ina2_in1f2]),
[] ).
cnf(188711384,plain,
zero(in1(f2(a))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[167781408,181417856,167760200]),
[] ).
cnf(188830016,plain,
( ~ connection(in1(f2(a)),A)
| zero(A) ),
inference(resolution,[status(thm)],[167332416,188711384]),
[] ).
cnf(203379640,plain,
zero(in1(h2(f2(a)))),
inference(resolution,[status(thm)],[181845008,188830016]),
[] ).
fof(halfadder_connection_in1_in1and2,plain,
! [A] :
( ~ halfadder(A)
| connection(in1(A),in1(and2(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167325928,plain,
( ~ halfadder(A)
| connection(in1(A),in1(and2(A))) ),
inference(rewrite,[status(thm)],[halfadder_connection_in1_in1and2]),
[] ).
cnf(185110904,plain,
connection(in1(h2(f2(a))),in1(and2(h2(f2(a))))),
inference(resolution,[status(thm)],[181817176,167325928]),
[] ).
cnf(217710936,plain,
zero(in1(and2(h2(f2(a))))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[203379640,185110904,167332416]),
[] ).
fof(and_0x_0,plain,
! [A] :
( ~ and_ok(A)
| ~ zero(in1(A))
| zero(out1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167368064,plain,
( ~ and_ok(A)
| ~ zero(in1(A))
| zero(out1(A)) ),
inference(rewrite,[status(thm)],[and_0x_0]),
[] ).
cnf(217874200,plain,
zero(out1(and2(h2(f2(a))))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[183153200,217710936,167368064]),
[] ).
fof(halfadder_connection_outc_out1and2,plain,
! [A] :
( ~ halfadder(A)
| connection(outc(A),out1(and2(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167624864,plain,
( ~ halfadder(A)
| connection(outc(A),out1(and2(A))) ),
inference(rewrite,[status(thm)],[halfadder_connection_outc_out1and2]),
[] ).
cnf(185761504,plain,
connection(outc(h2(f2(a))),out1(and2(h2(f2(a))))),
inference(resolution,[status(thm)],[181817176,167624864]),
[] ).
fof(value_propagation_zero2,plain,
! [A,B] :
( ~ connection(A,B)
| ~ zero(B)
| zero(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167349336,plain,
( ~ connection(A,B)
| ~ zero(B)
| zero(A) ),
inference(rewrite,[status(thm)],[value_propagation_zero2]),
[] ).
cnf(221151424,plain,
zero(outc(h2(f2(a)))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[217874200,185761504,167349336]),
[] ).
cnf(221281464,plain,
( ~ connection(outc(h2(f2(a))),A)
| zero(A) ),
inference(resolution,[status(thm)],[221151424,167332416]),
[] ).
fof(fulladder_or1,plain,
! [A] :
( ~ fulladder(A)
| logic_or(or1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167662104,plain,
( ~ fulladder(A)
| logic_or(or1(A)) ),
inference(rewrite,[status(thm)],[fulladder_or1]),
[] ).
cnf(181826120,plain,
logic_or(or1(f2(a))),
inference(resolution,[status(thm)],[167662104,181189320]),
[] ).
fof(or_ok_or_abnormal,plain,
! [A] :
( ~ logic_or(A)
| or_ok(A)
| abnormal(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167507744,plain,
( ~ logic_or(A)
| or_ok(A)
| abnormal(A) ),
inference(rewrite,[status(thm)],[or_ok_or_abnormal]),
[] ).
fof(diagnosis_or1f2a,plain,
~ abnormal(or1(f2(a))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167830016,plain,
~ abnormal(or1(f2(a))),
inference(rewrite,[status(thm)],[diagnosis_or1f2a]),
[] ).
cnf(183169192,plain,
or_ok(or1(f2(a))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181826120,167507744,167830016]),
[] ).
fof(unique_value,plain,
! [A] :
( ~ zero(A)
| ~ one(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167358824,plain,
( ~ zero(A)
| ~ one(A) ),
inference(rewrite,[status(thm)],[unique_value]),
[] ).
fof(fulladder_connection_outc_out1or1,plain,
! [A] :
( ~ fulladder(A)
| connection(outc(A),out1(or1(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167710024,plain,
( ~ fulladder(A)
| connection(outc(A),out1(or1(A))) ),
inference(rewrite,[status(thm)],[fulladder_connection_outc_out1or1]),
[] ).
cnf(181911536,plain,
connection(outc(f2(a)),out1(or1(f2(a)))),
inference(resolution,[status(thm)],[167710024,181189320]),
[] ).
fof(value_propagation_one1,plain,
! [A,B] :
( ~ connection(A,B)
| ~ one(A)
| one(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167340208,plain,
( ~ connection(A,B)
| ~ one(A)
| one(B) ),
inference(rewrite,[status(thm)],[value_propagation_one1]),
[] ).
fof(outc_1,plain,
one(outc(a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167824480,plain,
one(outc(a)),
inference(rewrite,[status(thm)],[outc_1]),
[] ).
cnf(181590512,plain,
( ~ connection(outc(a),A)
| one(A) ),
inference(resolution,[status(thm)],[167340208,167824480]),
[] ).
fof(nbit_adder_connection_outc_outcf1,plain,
! [A] :
( ~ nbit_adder2(A)
| connection(outc(A),outc(f2(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167744008,plain,
( ~ nbit_adder2(A)
| connection(outc(A),outc(f2(A))) ),
inference(rewrite,[status(thm)],[nbit_adder_connection_outc_outcf1]),
[] ).
cnf(187959088,plain,
one(outc(f2(a))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[167781408,181590512,167744008]),
[] ).
cnf(188046120,plain,
( ~ connection(outc(f2(a)),A)
| one(A) ),
inference(resolution,[status(thm)],[167340208,187959088]),
[] ).
cnf(201823016,plain,
one(out1(or1(f2(a)))),
inference(resolution,[status(thm)],[181911536,188046120]),
[] ).
cnf(202057040,plain,
~ zero(out1(or1(f2(a)))),
inference(resolution,[status(thm)],[167358824,201823016]),
[] ).
fof(fulladder_halfadder1,plain,
! [A] :
( ~ fulladder(A)
| halfadder(h1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167647896,plain,
( ~ fulladder(A)
| halfadder(h1(A)) ),
inference(rewrite,[status(thm)],[fulladder_halfadder1]),
[] ).
cnf(181808168,plain,
halfadder(h1(f2(a))),
inference(resolution,[status(thm)],[167647896,181189320]),
[] ).
fof(diagnosis_and2h1f2a,plain,
~ abnormal(and2(h1(f2(a)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167838992,plain,
~ abnormal(and2(h1(f2(a)))),
inference(rewrite,[status(thm)],[diagnosis_and2h1f2a]),
[] ).
cnf(183144000,plain,
( and_ok(and2(A))
| abnormal(and2(A))
| ~ halfadder(A) ),
inference(resolution,[status(thm)],[167437784,167573824]),
[] ).
cnf(200637000,plain,
and_ok(and2(h1(f2(a)))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181808168,167838992,183144000]),
[] ).
fof(fulladder_connection_in2_in1h1,plain,
! [A] :
( ~ fulladder(A)
| connection(in2(A),in1(h1(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167693736,plain,
( ~ fulladder(A)
| connection(in2(A),in1(h1(A))) ),
inference(rewrite,[status(thm)],[fulladder_connection_in2_in1h1]),
[] ).
cnf(181859784,plain,
connection(in2(f2(a)),in1(h1(f2(a)))),
inference(resolution,[status(thm)],[167693736,181189320]),
[] ).
fof(inb2_0,plain,
zero(inb2(a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167804168,plain,
zero(inb2(a)),
inference(rewrite,[status(thm)],[inb2_0]),
[] ).
cnf(183882040,plain,
( ~ connection(inb2(a),A)
| zero(A) ),
inference(resolution,[status(thm)],[167332416,167804168]),
[] ).
fof(nbit_adder_connection_inb2_in2f2,plain,
! [A] :
( ~ nbit_adder2(A)
| connection(inb2(A),in2(f2(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167764352,plain,
( ~ nbit_adder2(A)
| connection(inb2(A),in2(f2(A))) ),
inference(rewrite,[status(thm)],[nbit_adder_connection_inb2_in2f2]),
[] ).
cnf(188967456,plain,
zero(in2(f2(a))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[167781408,183882040,167764352]),
[] ).
cnf(189069024,plain,
( ~ connection(in2(f2(a)),A)
| zero(A) ),
inference(resolution,[status(thm)],[167332416,188967456]),
[] ).
cnf(203932824,plain,
zero(in1(h1(f2(a)))),
inference(resolution,[status(thm)],[181859784,189069024]),
[] ).
cnf(185094480,plain,
connection(in1(h1(f2(a))),in1(and2(h1(f2(a))))),
inference(resolution,[status(thm)],[181808168,167325928]),
[] ).
cnf(217229224,plain,
zero(in1(and2(h1(f2(a))))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[203932824,185094480,167332416]),
[] ).
cnf(217384496,plain,
zero(out1(and2(h1(f2(a))))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[200637000,217229224,167368064]),
[] ).
cnf(185748560,plain,
connection(outc(h1(f2(a))),out1(and2(h1(f2(a))))),
inference(resolution,[status(thm)],[181808168,167624864]),
[] ).
cnf(220741024,plain,
zero(outc(h1(f2(a)))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[217384496,185748560,167349336]),
[] ).
cnf(220869456,plain,
( ~ connection(outc(h1(f2(a))),A)
| zero(A) ),
inference(resolution,[status(thm)],[220741024,167332416]),
[] ).
fof(fulladder_connection_outch1_in2or1,plain,
! [A] :
( ~ fulladder(A)
| connection(outc(h1(A)),in2(or1(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167677176,plain,
( ~ fulladder(A)
| connection(outc(h1(A)),in2(or1(A))) ),
inference(rewrite,[status(thm)],[fulladder_connection_outch1_in2or1]),
[] ).
cnf(181951624,plain,
connection(outc(h1(f2(a))),in2(or1(f2(a)))),
inference(resolution,[status(thm)],[167677176,181189320]),
[] ).
cnf(310857432,plain,
zero(in2(or1(f2(a)))),
inference(resolution,[status(thm)],[220869456,181951624]),
[] ).
fof(or_00_0,plain,
! [A] :
( ~ or_ok(A)
| ~ zero(in1(A))
| ~ zero(in2(A))
| zero(out1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),
[] ).
cnf(167465848,plain,
( ~ or_ok(A)
| ~ zero(in1(A))
| ~ zero(in2(A))
| zero(out1(A)) ),
inference(rewrite,[status(thm)],[or_00_0]),
[] ).
cnf(311451640,plain,
~ zero(in1(or1(f2(a)))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[183169192,202057040,310857432,167465848]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[181969400,221281464,311451640]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 12 seconds
% START OF PROOF SEQUENCE
% fof(fulladder_connection_outch2_in1or1,plain,(~fulladder(A)|connection(outc(h2(A)),in1(or1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167685432,plain,(~fulladder(A)|connection(outc(h2(A)),in1(or1(A)))),inference(rewrite,[status(thm)],[fulladder_connection_outch2_in1or1]),[]).
%
% fof(nbit_adder_fulladder2,plain,(~nbit_adder2(A)|fulladder(f2(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167725648,plain,(~nbit_adder2(A)|fulladder(f2(A))),inference(rewrite,[status(thm)],[nbit_adder_fulladder2]),[]).
%
% fof(a_isa_2bit_adder,plain,(nbit_adder2(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167781408,plain,(nbit_adder2(a)),inference(rewrite,[status(thm)],[a_isa_2bit_adder]),[]).
%
% cnf(181189320,plain,(fulladder(f2(a))),inference(resolution,[status(thm)],[167725648,167781408]),[]).
%
% cnf(181969400,plain,(connection(outc(h2(f2(a))),in1(or1(f2(a))))),inference(resolution,[status(thm)],[167685432,181189320]),[]).
%
% fof(fulladder_halfadder2,plain,(~fulladder(A)|halfadder(h2(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167657144,plain,(~fulladder(A)|halfadder(h2(A))),inference(rewrite,[status(thm)],[fulladder_halfadder2]),[]).
%
% cnf(181817176,plain,(halfadder(h2(f2(a)))),inference(resolution,[status(thm)],[167657144,181189320]),[]).
%
% fof(halfadder_and2,plain,(~halfadder(A)|logic_and(and2(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167573824,plain,(~halfadder(A)|logic_and(and2(A))),inference(rewrite,[status(thm)],[halfadder_and2]),[]).
%
% cnf(182973048,plain,(logic_and(and2(h2(f2(a))))),inference(resolution,[status(thm)],[181817176,167573824]),[]).
%
% fof(and_ok_or_abnormal,plain,(~logic_and(A)|and_ok(A)|abnormal(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167437784,plain,(~logic_and(A)|and_ok(A)|abnormal(A)),inference(rewrite,[status(thm)],[and_ok_or_abnormal]),[]).
%
% fof(diagnosis_and2h2f2a,plain,(~abnormal(and2(h2(f2(a))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167843288,plain,(~abnormal(and2(h2(f2(a))))),inference(rewrite,[status(thm)],[diagnosis_and2h2f2a]),[]).
%
% cnf(183153200,plain,(and_ok(and2(h2(f2(a))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[182973048,167437784,167843288]),[]).
%
% fof(fulladder_connection_in1_in1h2,plain,(~fulladder(A)|connection(in1(A),in1(h2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167689616,plain,(~fulladder(A)|connection(in1(A),in1(h2(A)))),inference(rewrite,[status(thm)],[fulladder_connection_in1_in1h2]),[]).
%
% cnf(181845008,plain,(connection(in1(f2(a)),in1(h2(f2(a))))),inference(resolution,[status(thm)],[167689616,181189320]),[]).
%
% fof(value_propagation_zero1,plain,(~connection(A,B)|~zero(A)|zero(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167332416,plain,(~connection(A,B)|~zero(A)|zero(B)),inference(rewrite,[status(thm)],[value_propagation_zero1]),[]).
%
% fof(ina2_0,plain,(zero(ina2(a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167795968,plain,(zero(ina2(a))),inference(rewrite,[status(thm)],[ina2_0]),[]).
%
% cnf(181417856,plain,(~connection(ina2(a),A)|zero(A)),inference(resolution,[status(thm)],[167332416,167795968]),[]).
%
% fof(nbit_adder_connection_ina2_in1f2,plain,(~nbit_adder2(A)|connection(ina2(A),in1(f2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167760200,plain,(~nbit_adder2(A)|connection(ina2(A),in1(f2(A)))),inference(rewrite,[status(thm)],[nbit_adder_connection_ina2_in1f2]),[]).
%
% cnf(188711384,plain,(zero(in1(f2(a)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[167781408,181417856,167760200]),[]).
%
% cnf(188830016,plain,(~connection(in1(f2(a)),A)|zero(A)),inference(resolution,[status(thm)],[167332416,188711384]),[]).
%
% cnf(203379640,plain,(zero(in1(h2(f2(a))))),inference(resolution,[status(thm)],[181845008,188830016]),[]).
%
% fof(halfadder_connection_in1_in1and2,plain,(~halfadder(A)|connection(in1(A),in1(and2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167325928,plain,(~halfadder(A)|connection(in1(A),in1(and2(A)))),inference(rewrite,[status(thm)],[halfadder_connection_in1_in1and2]),[]).
%
% cnf(185110904,plain,(connection(in1(h2(f2(a))),in1(and2(h2(f2(a)))))),inference(resolution,[status(thm)],[181817176,167325928]),[]).
%
% cnf(217710936,plain,(zero(in1(and2(h2(f2(a)))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[203379640,185110904,167332416]),[]).
%
% fof(and_0x_0,plain,(~and_ok(A)|~zero(in1(A))|zero(out1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167368064,plain,(~and_ok(A)|~zero(in1(A))|zero(out1(A))),inference(rewrite,[status(thm)],[and_0x_0]),[]).
%
% cnf(217874200,plain,(zero(out1(and2(h2(f2(a)))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[183153200,217710936,167368064]),[]).
%
% fof(halfadder_connection_outc_out1and2,plain,(~halfadder(A)|connection(outc(A),out1(and2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167624864,plain,(~halfadder(A)|connection(outc(A),out1(and2(A)))),inference(rewrite,[status(thm)],[halfadder_connection_outc_out1and2]),[]).
%
% cnf(185761504,plain,(connection(outc(h2(f2(a))),out1(and2(h2(f2(a)))))),inference(resolution,[status(thm)],[181817176,167624864]),[]).
%
% fof(value_propagation_zero2,plain,(~connection(A,B)|~zero(B)|zero(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167349336,plain,(~connection(A,B)|~zero(B)|zero(A)),inference(rewrite,[status(thm)],[value_propagation_zero2]),[]).
%
% cnf(221151424,plain,(zero(outc(h2(f2(a))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[217874200,185761504,167349336]),[]).
%
% cnf(221281464,plain,(~connection(outc(h2(f2(a))),A)|zero(A)),inference(resolution,[status(thm)],[221151424,167332416]),[]).
%
% fof(fulladder_or1,plain,(~fulladder(A)|logic_or(or1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167662104,plain,(~fulladder(A)|logic_or(or1(A))),inference(rewrite,[status(thm)],[fulladder_or1]),[]).
%
% cnf(181826120,plain,(logic_or(or1(f2(a)))),inference(resolution,[status(thm)],[167662104,181189320]),[]).
%
% fof(or_ok_or_abnormal,plain,(~logic_or(A)|or_ok(A)|abnormal(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167507744,plain,(~logic_or(A)|or_ok(A)|abnormal(A)),inference(rewrite,[status(thm)],[or_ok_or_abnormal]),[]).
%
% fof(diagnosis_or1f2a,plain,(~abnormal(or1(f2(a)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167830016,plain,(~abnormal(or1(f2(a)))),inference(rewrite,[status(thm)],[diagnosis_or1f2a]),[]).
%
% cnf(183169192,plain,(or_ok(or1(f2(a)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[181826120,167507744,167830016]),[]).
%
% fof(unique_value,plain,(~zero(A)|~one(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167358824,plain,(~zero(A)|~one(A)),inference(rewrite,[status(thm)],[unique_value]),[]).
%
% fof(fulladder_connection_outc_out1or1,plain,(~fulladder(A)|connection(outc(A),out1(or1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167710024,plain,(~fulladder(A)|connection(outc(A),out1(or1(A)))),inference(rewrite,[status(thm)],[fulladder_connection_outc_out1or1]),[]).
%
% cnf(181911536,plain,(connection(outc(f2(a)),out1(or1(f2(a))))),inference(resolution,[status(thm)],[167710024,181189320]),[]).
%
% fof(value_propagation_one1,plain,(~connection(A,B)|~one(A)|one(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167340208,plain,(~connection(A,B)|~one(A)|one(B)),inference(rewrite,[status(thm)],[value_propagation_one1]),[]).
%
% fof(outc_1,plain,(one(outc(a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167824480,plain,(one(outc(a))),inference(rewrite,[status(thm)],[outc_1]),[]).
%
% cnf(181590512,plain,(~connection(outc(a),A)|one(A)),inference(resolution,[status(thm)],[167340208,167824480]),[]).
%
% fof(nbit_adder_connection_outc_outcf1,plain,(~nbit_adder2(A)|connection(outc(A),outc(f2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167744008,plain,(~nbit_adder2(A)|connection(outc(A),outc(f2(A)))),inference(rewrite,[status(thm)],[nbit_adder_connection_outc_outcf1]),[]).
%
% cnf(187959088,plain,(one(outc(f2(a)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[167781408,181590512,167744008]),[]).
%
% cnf(188046120,plain,(~connection(outc(f2(a)),A)|one(A)),inference(resolution,[status(thm)],[167340208,187959088]),[]).
%
% cnf(201823016,plain,(one(out1(or1(f2(a))))),inference(resolution,[status(thm)],[181911536,188046120]),[]).
%
% cnf(202057040,plain,(~zero(out1(or1(f2(a))))),inference(resolution,[status(thm)],[167358824,201823016]),[]).
%
% fof(fulladder_halfadder1,plain,(~fulladder(A)|halfadder(h1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167647896,plain,(~fulladder(A)|halfadder(h1(A))),inference(rewrite,[status(thm)],[fulladder_halfadder1]),[]).
%
% cnf(181808168,plain,(halfadder(h1(f2(a)))),inference(resolution,[status(thm)],[167647896,181189320]),[]).
%
% fof(diagnosis_and2h1f2a,plain,(~abnormal(and2(h1(f2(a))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167838992,plain,(~abnormal(and2(h1(f2(a))))),inference(rewrite,[status(thm)],[diagnosis_and2h1f2a]),[]).
%
% cnf(183144000,plain,(and_ok(and2(A))|abnormal(and2(A))|~halfadder(A)),inference(resolution,[status(thm)],[167437784,167573824]),[]).
%
% cnf(200637000,plain,(and_ok(and2(h1(f2(a))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[181808168,167838992,183144000]),[]).
%
% fof(fulladder_connection_in2_in1h1,plain,(~fulladder(A)|connection(in2(A),in1(h1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167693736,plain,(~fulladder(A)|connection(in2(A),in1(h1(A)))),inference(rewrite,[status(thm)],[fulladder_connection_in2_in1h1]),[]).
%
% cnf(181859784,plain,(connection(in2(f2(a)),in1(h1(f2(a))))),inference(resolution,[status(thm)],[167693736,181189320]),[]).
%
% fof(inb2_0,plain,(zero(inb2(a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167804168,plain,(zero(inb2(a))),inference(rewrite,[status(thm)],[inb2_0]),[]).
%
% cnf(183882040,plain,(~connection(inb2(a),A)|zero(A)),inference(resolution,[status(thm)],[167332416,167804168]),[]).
%
% fof(nbit_adder_connection_inb2_in2f2,plain,(~nbit_adder2(A)|connection(inb2(A),in2(f2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167764352,plain,(~nbit_adder2(A)|connection(inb2(A),in2(f2(A)))),inference(rewrite,[status(thm)],[nbit_adder_connection_inb2_in2f2]),[]).
%
% cnf(188967456,plain,(zero(in2(f2(a)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[167781408,183882040,167764352]),[]).
%
% cnf(189069024,plain,(~connection(in2(f2(a)),A)|zero(A)),inference(resolution,[status(thm)],[167332416,188967456]),[]).
%
% cnf(203932824,plain,(zero(in1(h1(f2(a))))),inference(resolution,[status(thm)],[181859784,189069024]),[]).
%
% cnf(185094480,plain,(connection(in1(h1(f2(a))),in1(and2(h1(f2(a)))))),inference(resolution,[status(thm)],[181808168,167325928]),[]).
%
% cnf(217229224,plain,(zero(in1(and2(h1(f2(a)))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[203932824,185094480,167332416]),[]).
%
% cnf(217384496,plain,(zero(out1(and2(h1(f2(a)))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[200637000,217229224,167368064]),[]).
%
% cnf(185748560,plain,(connection(outc(h1(f2(a))),out1(and2(h1(f2(a)))))),inference(resolution,[status(thm)],[181808168,167624864]),[]).
%
% cnf(220741024,plain,(zero(outc(h1(f2(a))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[217384496,185748560,167349336]),[]).
%
% cnf(220869456,plain,(~connection(outc(h1(f2(a))),A)|zero(A)),inference(resolution,[status(thm)],[220741024,167332416]),[]).
%
% fof(fulladder_connection_outch1_in2or1,plain,(~fulladder(A)|connection(outc(h1(A)),in2(or1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167677176,plain,(~fulladder(A)|connection(outc(h1(A)),in2(or1(A)))),inference(rewrite,[status(thm)],[fulladder_connection_outch1_in2or1]),[]).
%
% cnf(181951624,plain,(connection(outc(h1(f2(a))),in2(or1(f2(a))))),inference(resolution,[status(thm)],[167677176,181189320]),[]).
%
% cnf(310857432,plain,(zero(in2(or1(f2(a))))),inference(resolution,[status(thm)],[220869456,181951624]),[]).
%
% fof(or_00_0,plain,(~or_ok(A)|~zero(in1(A))|~zero(in2(A))|zero(out1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.002.tptp',unknown),[]).
%
% cnf(167465848,plain,(~or_ok(A)|~zero(in1(A))|~zero(in2(A))|zero(out1(A))),inference(rewrite,[status(thm)],[or_00_0]),[]).
%
% cnf(311451640,plain,(~zero(in1(or1(f2(a))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[183169192,202057040,310857432,167465848]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[181969400,221281464,311451640]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------