%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : HWV008-2.001 : 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 13:17:31 EDT 2009
% Result : Unsatisfiable 5.0s
% Output : Refutation 5.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 30
% Syntax : Number of formulae : 102 ( 48 unt; 0 def)
% Number of atoms : 174 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 147 ( 75 ~; 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 : 60 ( 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/HWV008-2.001.tptp',unknown),
[] ).
cnf(159028096,plain,
( ~ fulladder(A)
| connection(outc(h2(A)),in1(or1(A))) ),
inference(rewrite,[status(thm)],[fulladder_connection_outch2_in1or1]),
[] ).
fof(nbit_adder_fulladder1,plain,
! [A] :
( ~ nbit_adder1(A)
| fulladder(f1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(159062768,plain,
( ~ nbit_adder1(A)
| fulladder(f1(A)) ),
inference(rewrite,[status(thm)],[nbit_adder_fulladder1]),
[] ).
fof(a_isa_1bit_adder,plain,
nbit_adder1(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(159093800,plain,
nbit_adder1(a),
inference(rewrite,[status(thm)],[a_isa_1bit_adder]),
[] ).
cnf(172434288,plain,
fulladder(f1(a)),
inference(resolution,[status(thm)],[159062768,159093800]),
[] ).
cnf(172832008,plain,
connection(outc(h2(f1(a))),in1(or1(f1(a)))),
inference(resolution,[status(thm)],[159028096,172434288]),
[] ).
fof(value_propagation_zero1,plain,
! [A,B] :
( ~ connection(A,B)
| ~ zero(A)
| zero(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(158688120,plain,
( ~ connection(A,B)
| ~ zero(A)
| zero(B) ),
inference(rewrite,[status(thm)],[value_propagation_zero1]),
[] ).
fof(fulladder_halfadder2,plain,
! [A] :
( ~ fulladder(A)
| halfadder(h2(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(159000256,plain,
( ~ fulladder(A)
| halfadder(h2(A)) ),
inference(rewrite,[status(thm)],[fulladder_halfadder2]),
[] ).
cnf(172690384,plain,
halfadder(h2(f1(a))),
inference(resolution,[status(thm)],[159000256,172434288]),
[] ).
fof(diagnosis_and2h2f1,plain,
~ abnormal(and2(h2(f1(a)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(159142984,plain,
~ abnormal(and2(h2(f1(a)))),
inference(rewrite,[status(thm)],[diagnosis_and2h2f1]),
[] ).
fof(and_ok_or_abnormal,plain,
! [A] :
( ~ logic_and(A)
| and_ok(A)
| abnormal(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(158784096,plain,
( ~ logic_and(A)
| and_ok(A)
| abnormal(A) ),
inference(rewrite,[status(thm)],[and_ok_or_abnormal]),
[] ).
fof(halfadder_and2,plain,
! [A] :
( ~ halfadder(A)
| logic_and(and2(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(158922496,plain,
( ~ halfadder(A)
| logic_and(and2(A)) ),
inference(rewrite,[status(thm)],[halfadder_and2]),
[] ).
cnf(173959192,plain,
( and_ok(and2(A))
| abnormal(and2(A))
| ~ halfadder(A) ),
inference(resolution,[status(thm)],[158784096,158922496]),
[] ).
cnf(186618272,plain,
and_ok(and2(h2(f1(a)))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172690384,159142984,173959192]),
[] ).
fof(and_0x_0,plain,
! [A] :
( ~ and_ok(A)
| ~ zero(in1(A))
| zero(out1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(158723384,plain,
( ~ and_ok(A)
| ~ zero(in1(A))
| zero(out1(A)) ),
inference(rewrite,[status(thm)],[and_0x_0]),
[] ).
fof(fulladder_connection_in1_in1h2,plain,
! [A] :
( ~ fulladder(A)
| connection(in1(A),in1(h2(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(159032184,plain,
( ~ fulladder(A)
| connection(in1(A),in1(h2(A))) ),
inference(rewrite,[status(thm)],[fulladder_connection_in1_in1h2]),
[] ).
cnf(172717800,plain,
connection(in1(f1(a)),in1(h2(f1(a)))),
inference(resolution,[status(thm)],[159032184,172434288]),
[] ).
fof(ina1_0,plain,
zero(ina1(a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(159103496,plain,
zero(ina1(a)),
inference(rewrite,[status(thm)],[ina1_0]),
[] ).
cnf(172541296,plain,
( ~ connection(ina1(a),A)
| zero(A) ),
inference(resolution,[status(thm)],[158688120,159103496]),
[] ).
fof(nbit_adder_connection_ina1_in1f1,plain,
! [A] :
( ~ nbit_adder1(A)
| connection(ina1(A),in1(f1(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(159081184,plain,
( ~ nbit_adder1(A)
| connection(ina1(A),in1(f1(A))) ),
inference(rewrite,[status(thm)],[nbit_adder_connection_ina1_in1f1]),
[] ).
cnf(177447960,plain,
zero(in1(f1(a))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[159093800,172541296,159081184]),
[] ).
cnf(177549448,plain,
( ~ connection(in1(f1(a)),A)
| zero(A) ),
inference(resolution,[status(thm)],[158688120,177447960]),
[] ).
cnf(186776264,plain,
zero(in1(h2(f1(a)))),
inference(resolution,[status(thm)],[172717800,177549448]),
[] ).
fof(halfadder_connection_in1_in1and2,plain,
! [A] :
( ~ halfadder(A)
| connection(in1(A),in1(and2(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(158681632,plain,
( ~ halfadder(A)
| connection(in1(A),in1(and2(A))) ),
inference(rewrite,[status(thm)],[halfadder_connection_in1_in1and2]),
[] ).
cnf(175098416,plain,
connection(in1(h2(f1(a))),in1(and2(h2(f1(a))))),
inference(resolution,[status(thm)],[158681632,172690384]),
[] ).
cnf(195533088,plain,
zero(in1(and2(h2(f1(a))))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[186776264,158688120,175098416]),
[] ).
cnf(195683296,plain,
zero(out1(and2(h2(f1(a))))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[186618272,158723384,195533088]),
[] ).
fof(value_propagation_zero2,plain,
! [A,B] :
( ~ connection(A,B)
| ~ zero(B)
| zero(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(158704784,plain,
( ~ connection(A,B)
| ~ zero(B)
| zero(A) ),
inference(rewrite,[status(thm)],[value_propagation_zero2]),
[] ).
fof(halfadder_connection_outc_out1and2,plain,
! [A] :
( ~ halfadder(A)
| connection(outc(A),out1(and2(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(158972576,plain,
( ~ halfadder(A)
| connection(outc(A),out1(and2(A))) ),
inference(rewrite,[status(thm)],[halfadder_connection_outc_out1and2]),
[] ).
cnf(175531648,plain,
connection(outc(h2(f1(a))),out1(and2(h2(f1(a))))),
inference(resolution,[status(thm)],[158972576,172690384]),
[] ).
cnf(196490192,plain,
zero(outc(h2(f1(a)))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[195683296,158704784,175531648]),
[] ).
cnf(196580760,plain,
( ~ connection(outc(h2(f1(a))),A)
| zero(A) ),
inference(resolution,[status(thm)],[158688120,196490192]),
[] ).
fof(unique_value,plain,
! [A] :
( ~ zero(A)
| ~ one(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(158714272,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/HWV008-2.001.tptp',unknown),
[] ).
cnf(159052272,plain,
( ~ fulladder(A)
| connection(outc(A),out1(or1(A))) ),
inference(rewrite,[status(thm)],[fulladder_connection_outc_out1or1]),
[] ).
cnf(172776936,plain,
connection(outc(f1(a)),out1(or1(f1(a)))),
inference(resolution,[status(thm)],[159052272,172434288]),
[] ).
fof(value_propagation_one1,plain,
! [A,B] :
( ~ connection(A,B)
| ~ one(A)
| one(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(158695784,plain,
( ~ connection(A,B)
| ~ one(A)
| one(B) ),
inference(rewrite,[status(thm)],[value_propagation_one1]),
[] ).
fof(outc_0,plain,
one(outc(a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(159124560,plain,
one(outc(a)),
inference(rewrite,[status(thm)],[outc_0]),
[] ).
cnf(172638416,plain,
( ~ connection(outc(a),A)
| one(A) ),
inference(resolution,[status(thm)],[158695784,159124560]),
[] ).
fof(nbit_adder_connection_outc_outcf1,plain,
! [A] :
( ~ nbit_adder1(A)
| connection(outc(A),outc(f1(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(159077384,plain,
( ~ nbit_adder1(A)
| connection(outc(A),outc(f1(A))) ),
inference(rewrite,[status(thm)],[nbit_adder_connection_outc_outcf1]),
[] ).
cnf(177183456,plain,
one(outc(f1(a))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[159093800,172638416,159077384]),
[] ).
cnf(177264664,plain,
( ~ connection(outc(f1(a)),A)
| one(A) ),
inference(resolution,[status(thm)],[158695784,177183456]),
[] ).
cnf(185732880,plain,
one(out1(or1(f1(a)))),
inference(resolution,[status(thm)],[172776936,177264664]),
[] ).
fof(or_ok_or_abnormal,plain,
! [A] :
( ~ logic_or(A)
| or_ok(A)
| abnormal(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(158857184,plain,
( ~ logic_or(A)
| or_ok(A)
| abnormal(A) ),
inference(rewrite,[status(thm)],[or_ok_or_abnormal]),
[] ).
fof(fulladder_or1,plain,
! [A] :
( ~ fulladder(A)
| logic_or(or1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(159009208,plain,
( ~ fulladder(A)
| logic_or(or1(A)) ),
inference(rewrite,[status(thm)],[fulladder_or1]),
[] ).
cnf(172699192,plain,
logic_or(or1(f1(a))),
inference(resolution,[status(thm)],[159009208,172434288]),
[] ).
cnf(173109792,plain,
( or_ok(or1(f1(a)))
| abnormal(or1(f1(a))) ),
inference(resolution,[status(thm)],[158857184,172699192]),
[] ).
fof(diagnosis_or1f1,plain,
~ abnormal(or1(f1(a))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(159129968,plain,
~ abnormal(or1(f1(a))),
inference(rewrite,[status(thm)],[diagnosis_or1f1]),
[] ).
cnf(173137216,plain,
or_ok(or1(f1(a))),
inference(resolution,[status(thm)],[173109792,159129968]),
[] ).
fof(fulladder_halfadder1,plain,
! [A] :
( ~ fulladder(A)
| halfadder(h1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(158995224,plain,
( ~ fulladder(A)
| halfadder(h1(A)) ),
inference(rewrite,[status(thm)],[fulladder_halfadder1]),
[] ).
cnf(172681640,plain,
halfadder(h1(f1(a))),
inference(resolution,[status(thm)],[158995224,172434288]),
[] ).
cnf(172920072,plain,
logic_and(and2(h1(f1(a)))),
inference(resolution,[status(thm)],[158922496,172681640]),
[] ).
fof(diagnosis_and2h1f1,plain,
~ abnormal(and2(h1(f1(a)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(159138816,plain,
~ abnormal(and2(h1(f1(a)))),
inference(rewrite,[status(thm)],[diagnosis_and2h1f1]),
[] ).
cnf(173297048,plain,
and_ok(and2(h1(f1(a)))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172920072,158784096,159138816]),
[] ).
fof(inb1_0,plain,
zero(inb1(a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(159108104,plain,
zero(inb1(a)),
inference(rewrite,[status(thm)],[inb1_0]),
[] ).
fof(nbit_adder_connection_inb1_in2f1,plain,
! [A] :
( ~ nbit_adder1(A)
| connection(inb1(A),in2(f1(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(159085240,plain,
( ~ nbit_adder1(A)
| connection(inb1(A),in2(f1(A))) ),
inference(rewrite,[status(thm)],[nbit_adder_connection_inb1_in2f1]),
[] ).
cnf(172499160,plain,
connection(inb1(a),in2(f1(a))),
inference(resolution,[status(thm)],[159085240,159093800]),
[] ).
cnf(173533464,plain,
zero(in2(f1(a))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[159108104,158688120,172499160]),
[] ).
fof(fulladder_connection_in2_in1h1,plain,
! [A] :
( ~ fulladder(A)
| connection(in2(A),in1(h1(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(159040296,plain,
( ~ fulladder(A)
| connection(in2(A),in1(h1(A))) ),
inference(rewrite,[status(thm)],[fulladder_connection_in2_in1h1]),
[] ).
cnf(172731616,plain,
connection(in2(f1(a)),in1(h1(f1(a)))),
inference(resolution,[status(thm)],[159040296,172434288]),
[] ).
cnf(176060088,plain,
zero(in1(h1(f1(a)))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173533464,158688120,172731616]),
[] ).
cnf(172989824,plain,
connection(in1(h1(f1(a))),in1(and2(h1(f1(a))))),
inference(resolution,[status(thm)],[158681632,172681640]),
[] ).
cnf(188499864,plain,
zero(in1(and2(h1(f1(a))))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[176060088,158688120,172989824]),
[] ).
cnf(188615816,plain,
zero(out1(and2(h1(f1(a))))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173297048,158723384,188499864]),
[] ).
cnf(173032080,plain,
connection(outc(h1(f1(a))),out1(and2(h1(f1(a))))),
inference(resolution,[status(thm)],[158972576,172681640]),
[] ).
cnf(189178440,plain,
zero(outc(h1(f1(a)))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[188615816,158704784,173032080]),
[] ).
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/HWV008-2.001.tptp',unknown),
[] ).
cnf(159024024,plain,
( ~ fulladder(A)
| connection(outc(h1(A)),in2(or1(A))) ),
inference(rewrite,[status(thm)],[fulladder_connection_outch1_in2or1]),
[] ).
cnf(172811032,plain,
connection(outc(h1(f1(a))),in2(or1(f1(a)))),
inference(resolution,[status(thm)],[159024024,172434288]),
[] ).
cnf(174430464,plain,
( ~ connection(A,B)
| ~ zero(A)
| ~ one(B) ),
inference(resolution,[status(thm)],[158688120,158714272]),
[] ).
cnf(193621808,plain,
~ one(in2(or1(f1(a)))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[189178440,172811032,174430464]),
[] ).
fof(or_1_11,plain,
! [A] :
( ~ or_ok(A)
| ~ one(out1(A))
| one(in1(A))
| one(in2(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),
[] ).
cnf(158824120,plain,
( ~ or_ok(A)
| ~ one(out1(A))
| one(in1(A))
| one(in2(A)) ),
inference(rewrite,[status(thm)],[or_1_11]),
[] ).
cnf(198947016,plain,
one(in1(or1(f1(a)))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[185732880,173137216,193621808,158824120]),
[] ).
cnf(199546688,plain,
~ zero(in1(or1(f1(a)))),
inference(resolution,[status(thm)],[158714272,198947016]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[172832008,196580760,199546688]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 5 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/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159028096,plain,(~fulladder(A)|connection(outc(h2(A)),in1(or1(A)))),inference(rewrite,[status(thm)],[fulladder_connection_outch2_in1or1]),[]).
%
% fof(nbit_adder_fulladder1,plain,(~nbit_adder1(A)|fulladder(f1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159062768,plain,(~nbit_adder1(A)|fulladder(f1(A))),inference(rewrite,[status(thm)],[nbit_adder_fulladder1]),[]).
%
% fof(a_isa_1bit_adder,plain,(nbit_adder1(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159093800,plain,(nbit_adder1(a)),inference(rewrite,[status(thm)],[a_isa_1bit_adder]),[]).
%
% cnf(172434288,plain,(fulladder(f1(a))),inference(resolution,[status(thm)],[159062768,159093800]),[]).
%
% cnf(172832008,plain,(connection(outc(h2(f1(a))),in1(or1(f1(a))))),inference(resolution,[status(thm)],[159028096,172434288]),[]).
%
% fof(value_propagation_zero1,plain,(~connection(A,B)|~zero(A)|zero(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(158688120,plain,(~connection(A,B)|~zero(A)|zero(B)),inference(rewrite,[status(thm)],[value_propagation_zero1]),[]).
%
% fof(fulladder_halfadder2,plain,(~fulladder(A)|halfadder(h2(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159000256,plain,(~fulladder(A)|halfadder(h2(A))),inference(rewrite,[status(thm)],[fulladder_halfadder2]),[]).
%
% cnf(172690384,plain,(halfadder(h2(f1(a)))),inference(resolution,[status(thm)],[159000256,172434288]),[]).
%
% fof(diagnosis_and2h2f1,plain,(~abnormal(and2(h2(f1(a))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159142984,plain,(~abnormal(and2(h2(f1(a))))),inference(rewrite,[status(thm)],[diagnosis_and2h2f1]),[]).
%
% fof(and_ok_or_abnormal,plain,(~logic_and(A)|and_ok(A)|abnormal(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(158784096,plain,(~logic_and(A)|and_ok(A)|abnormal(A)),inference(rewrite,[status(thm)],[and_ok_or_abnormal]),[]).
%
% fof(halfadder_and2,plain,(~halfadder(A)|logic_and(and2(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(158922496,plain,(~halfadder(A)|logic_and(and2(A))),inference(rewrite,[status(thm)],[halfadder_and2]),[]).
%
% cnf(173959192,plain,(and_ok(and2(A))|abnormal(and2(A))|~halfadder(A)),inference(resolution,[status(thm)],[158784096,158922496]),[]).
%
% cnf(186618272,plain,(and_ok(and2(h2(f1(a))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[172690384,159142984,173959192]),[]).
%
% fof(and_0x_0,plain,(~and_ok(A)|~zero(in1(A))|zero(out1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(158723384,plain,(~and_ok(A)|~zero(in1(A))|zero(out1(A))),inference(rewrite,[status(thm)],[and_0x_0]),[]).
%
% fof(fulladder_connection_in1_in1h2,plain,(~fulladder(A)|connection(in1(A),in1(h2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159032184,plain,(~fulladder(A)|connection(in1(A),in1(h2(A)))),inference(rewrite,[status(thm)],[fulladder_connection_in1_in1h2]),[]).
%
% cnf(172717800,plain,(connection(in1(f1(a)),in1(h2(f1(a))))),inference(resolution,[status(thm)],[159032184,172434288]),[]).
%
% fof(ina1_0,plain,(zero(ina1(a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159103496,plain,(zero(ina1(a))),inference(rewrite,[status(thm)],[ina1_0]),[]).
%
% cnf(172541296,plain,(~connection(ina1(a),A)|zero(A)),inference(resolution,[status(thm)],[158688120,159103496]),[]).
%
% fof(nbit_adder_connection_ina1_in1f1,plain,(~nbit_adder1(A)|connection(ina1(A),in1(f1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159081184,plain,(~nbit_adder1(A)|connection(ina1(A),in1(f1(A)))),inference(rewrite,[status(thm)],[nbit_adder_connection_ina1_in1f1]),[]).
%
% cnf(177447960,plain,(zero(in1(f1(a)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[159093800,172541296,159081184]),[]).
%
% cnf(177549448,plain,(~connection(in1(f1(a)),A)|zero(A)),inference(resolution,[status(thm)],[158688120,177447960]),[]).
%
% cnf(186776264,plain,(zero(in1(h2(f1(a))))),inference(resolution,[status(thm)],[172717800,177549448]),[]).
%
% fof(halfadder_connection_in1_in1and2,plain,(~halfadder(A)|connection(in1(A),in1(and2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(158681632,plain,(~halfadder(A)|connection(in1(A),in1(and2(A)))),inference(rewrite,[status(thm)],[halfadder_connection_in1_in1and2]),[]).
%
% cnf(175098416,plain,(connection(in1(h2(f1(a))),in1(and2(h2(f1(a)))))),inference(resolution,[status(thm)],[158681632,172690384]),[]).
%
% cnf(195533088,plain,(zero(in1(and2(h2(f1(a)))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[186776264,158688120,175098416]),[]).
%
% cnf(195683296,plain,(zero(out1(and2(h2(f1(a)))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[186618272,158723384,195533088]),[]).
%
% fof(value_propagation_zero2,plain,(~connection(A,B)|~zero(B)|zero(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(158704784,plain,(~connection(A,B)|~zero(B)|zero(A)),inference(rewrite,[status(thm)],[value_propagation_zero2]),[]).
%
% fof(halfadder_connection_outc_out1and2,plain,(~halfadder(A)|connection(outc(A),out1(and2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(158972576,plain,(~halfadder(A)|connection(outc(A),out1(and2(A)))),inference(rewrite,[status(thm)],[halfadder_connection_outc_out1and2]),[]).
%
% cnf(175531648,plain,(connection(outc(h2(f1(a))),out1(and2(h2(f1(a)))))),inference(resolution,[status(thm)],[158972576,172690384]),[]).
%
% cnf(196490192,plain,(zero(outc(h2(f1(a))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[195683296,158704784,175531648]),[]).
%
% cnf(196580760,plain,(~connection(outc(h2(f1(a))),A)|zero(A)),inference(resolution,[status(thm)],[158688120,196490192]),[]).
%
% fof(unique_value,plain,(~zero(A)|~one(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(158714272,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/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159052272,plain,(~fulladder(A)|connection(outc(A),out1(or1(A)))),inference(rewrite,[status(thm)],[fulladder_connection_outc_out1or1]),[]).
%
% cnf(172776936,plain,(connection(outc(f1(a)),out1(or1(f1(a))))),inference(resolution,[status(thm)],[159052272,172434288]),[]).
%
% fof(value_propagation_one1,plain,(~connection(A,B)|~one(A)|one(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(158695784,plain,(~connection(A,B)|~one(A)|one(B)),inference(rewrite,[status(thm)],[value_propagation_one1]),[]).
%
% fof(outc_0,plain,(one(outc(a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159124560,plain,(one(outc(a))),inference(rewrite,[status(thm)],[outc_0]),[]).
%
% cnf(172638416,plain,(~connection(outc(a),A)|one(A)),inference(resolution,[status(thm)],[158695784,159124560]),[]).
%
% fof(nbit_adder_connection_outc_outcf1,plain,(~nbit_adder1(A)|connection(outc(A),outc(f1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159077384,plain,(~nbit_adder1(A)|connection(outc(A),outc(f1(A)))),inference(rewrite,[status(thm)],[nbit_adder_connection_outc_outcf1]),[]).
%
% cnf(177183456,plain,(one(outc(f1(a)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[159093800,172638416,159077384]),[]).
%
% cnf(177264664,plain,(~connection(outc(f1(a)),A)|one(A)),inference(resolution,[status(thm)],[158695784,177183456]),[]).
%
% cnf(185732880,plain,(one(out1(or1(f1(a))))),inference(resolution,[status(thm)],[172776936,177264664]),[]).
%
% fof(or_ok_or_abnormal,plain,(~logic_or(A)|or_ok(A)|abnormal(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(158857184,plain,(~logic_or(A)|or_ok(A)|abnormal(A)),inference(rewrite,[status(thm)],[or_ok_or_abnormal]),[]).
%
% fof(fulladder_or1,plain,(~fulladder(A)|logic_or(or1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159009208,plain,(~fulladder(A)|logic_or(or1(A))),inference(rewrite,[status(thm)],[fulladder_or1]),[]).
%
% cnf(172699192,plain,(logic_or(or1(f1(a)))),inference(resolution,[status(thm)],[159009208,172434288]),[]).
%
% cnf(173109792,plain,(or_ok(or1(f1(a)))|abnormal(or1(f1(a)))),inference(resolution,[status(thm)],[158857184,172699192]),[]).
%
% fof(diagnosis_or1f1,plain,(~abnormal(or1(f1(a)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159129968,plain,(~abnormal(or1(f1(a)))),inference(rewrite,[status(thm)],[diagnosis_or1f1]),[]).
%
% cnf(173137216,plain,(or_ok(or1(f1(a)))),inference(resolution,[status(thm)],[173109792,159129968]),[]).
%
% fof(fulladder_halfadder1,plain,(~fulladder(A)|halfadder(h1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(158995224,plain,(~fulladder(A)|halfadder(h1(A))),inference(rewrite,[status(thm)],[fulladder_halfadder1]),[]).
%
% cnf(172681640,plain,(halfadder(h1(f1(a)))),inference(resolution,[status(thm)],[158995224,172434288]),[]).
%
% cnf(172920072,plain,(logic_and(and2(h1(f1(a))))),inference(resolution,[status(thm)],[158922496,172681640]),[]).
%
% fof(diagnosis_and2h1f1,plain,(~abnormal(and2(h1(f1(a))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159138816,plain,(~abnormal(and2(h1(f1(a))))),inference(rewrite,[status(thm)],[diagnosis_and2h1f1]),[]).
%
% cnf(173297048,plain,(and_ok(and2(h1(f1(a))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[172920072,158784096,159138816]),[]).
%
% fof(inb1_0,plain,(zero(inb1(a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159108104,plain,(zero(inb1(a))),inference(rewrite,[status(thm)],[inb1_0]),[]).
%
% fof(nbit_adder_connection_inb1_in2f1,plain,(~nbit_adder1(A)|connection(inb1(A),in2(f1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159085240,plain,(~nbit_adder1(A)|connection(inb1(A),in2(f1(A)))),inference(rewrite,[status(thm)],[nbit_adder_connection_inb1_in2f1]),[]).
%
% cnf(172499160,plain,(connection(inb1(a),in2(f1(a)))),inference(resolution,[status(thm)],[159085240,159093800]),[]).
%
% cnf(173533464,plain,(zero(in2(f1(a)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[159108104,158688120,172499160]),[]).
%
% fof(fulladder_connection_in2_in1h1,plain,(~fulladder(A)|connection(in2(A),in1(h1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159040296,plain,(~fulladder(A)|connection(in2(A),in1(h1(A)))),inference(rewrite,[status(thm)],[fulladder_connection_in2_in1h1]),[]).
%
% cnf(172731616,plain,(connection(in2(f1(a)),in1(h1(f1(a))))),inference(resolution,[status(thm)],[159040296,172434288]),[]).
%
% cnf(176060088,plain,(zero(in1(h1(f1(a))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[173533464,158688120,172731616]),[]).
%
% cnf(172989824,plain,(connection(in1(h1(f1(a))),in1(and2(h1(f1(a)))))),inference(resolution,[status(thm)],[158681632,172681640]),[]).
%
% cnf(188499864,plain,(zero(in1(and2(h1(f1(a)))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[176060088,158688120,172989824]),[]).
%
% cnf(188615816,plain,(zero(out1(and2(h1(f1(a)))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[173297048,158723384,188499864]),[]).
%
% cnf(173032080,plain,(connection(outc(h1(f1(a))),out1(and2(h1(f1(a)))))),inference(resolution,[status(thm)],[158972576,172681640]),[]).
%
% cnf(189178440,plain,(zero(outc(h1(f1(a))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[188615816,158704784,173032080]),[]).
%
% fof(fulladder_connection_outch1_in2or1,plain,(~fulladder(A)|connection(outc(h1(A)),in2(or1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(159024024,plain,(~fulladder(A)|connection(outc(h1(A)),in2(or1(A)))),inference(rewrite,[status(thm)],[fulladder_connection_outch1_in2or1]),[]).
%
% cnf(172811032,plain,(connection(outc(h1(f1(a))),in2(or1(f1(a))))),inference(resolution,[status(thm)],[159024024,172434288]),[]).
%
% cnf(174430464,plain,(~connection(A,B)|~zero(A)|~one(B)),inference(resolution,[status(thm)],[158688120,158714272]),[]).
%
% cnf(193621808,plain,(~one(in2(or1(f1(a))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[189178440,172811032,174430464]),[]).
%
% fof(or_1_11,plain,(~or_ok(A)|~one(out1(A))|one(in1(A))|one(in2(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV008-2.001.tptp',unknown),[]).
%
% cnf(158824120,plain,(~or_ok(A)|~one(out1(A))|one(in1(A))|one(in2(A))),inference(rewrite,[status(thm)],[or_1_11]),[]).
%
% cnf(198947016,plain,(one(in1(or1(f1(a))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[185732880,173137216,193621808,158824120]),[]).
%
% cnf(199546688,plain,(~zero(in1(or1(f1(a))))),inference(resolution,[status(thm)],[158714272,198947016]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[172832008,196580760,199546688]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------