TSTP Solution File: HWV005-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : HWV005-2 : TPTP v3.4.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 13:17:14 EDT 2009
% Result : Unsatisfiable 1.9s
% Output : Refutation 1.9s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 26
% Syntax : Number of formulae : 75 ( 34 unt; 0 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 126 ( 65 ~; 61 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-1 aty)
% Number of variables : 47 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(h_isa_halfadder,plain,
halfadder(h),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171908832,plain,
halfadder(h),
inference(rewrite,[status(thm)],[h_isa_halfadder]),
[] ).
fof(halfadder_connection_in1_in1or1,plain,
! [A] :
( ~ halfadder(A)
| connection(in1(A),in1(or1(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171863544,plain,
( ~ halfadder(A)
| connection(in1(A),in1(or1(A))) ),
inference(rewrite,[status(thm)],[halfadder_connection_in1_in1or1]),
[] ).
fof(value_propagation_one1,plain,
! [A,B] :
( ~ connection(A,B)
| ~ one(A)
| one(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171630888,plain,
( ~ connection(A,B)
| ~ one(A)
| one(B) ),
inference(rewrite,[status(thm)],[value_propagation_one1]),
[] ).
fof(in1_1,plain,
one(in1(h)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171918184,plain,
one(in1(h)),
inference(rewrite,[status(thm)],[in1_1]),
[] ).
cnf(185360928,plain,
( ~ connection(in1(h),A)
| one(A) ),
inference(resolution,[status(thm)],[171630888,171918184]),
[] ).
cnf(186581376,plain,
one(in1(or1(h))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[171908832,171863544,185360928]),
[] ).
fof(or_1x_1,plain,
! [A] :
( ~ or_ok(A)
| ~ one(in1(A))
| one(out1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171729888,plain,
( ~ or_ok(A)
| ~ one(in1(A))
| one(out1(A)) ),
inference(rewrite,[status(thm)],[or_1x_1]),
[] ).
fof(halfadder_or1,plain,
! [A] :
( ~ halfadder(A)
| logic_or(or1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171858136,plain,
( ~ halfadder(A)
| logic_or(or1(A)) ),
inference(rewrite,[status(thm)],[halfadder_or1]),
[] ).
cnf(185189280,plain,
logic_or(or1(h)),
inference(resolution,[status(thm)],[171858136,171908832]),
[] ).
fof(or_ok_or_abnormal,plain,
! [A] :
( ~ logic_or(A)
| or_ok(A)
| abnormal(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171784200,plain,
( ~ logic_or(A)
| or_ok(A)
| abnormal(A) ),
inference(rewrite,[status(thm)],[or_ok_or_abnormal]),
[] ).
fof(diagnosis_or1,plain,
~ abnormal(or1(h)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171948496,plain,
~ abnormal(or1(h)),
inference(rewrite,[status(thm)],[diagnosis_or1]),
[] ).
cnf(186145936,plain,
or_ok(or1(h)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[185189280,171784200,171948496]),
[] ).
cnf(189806704,plain,
one(out1(or1(h))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[186581376,171729888,186145936]),
[] ).
fof(unique_value,plain,
! [A] :
( ~ zero(A)
| ~ one(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171649120,plain,
( ~ zero(A)
| ~ one(A) ),
inference(rewrite,[status(thm)],[unique_value]),
[] ).
cnf(190103688,plain,
~ zero(out1(or1(h))),
inference(resolution,[status(thm)],[189806704,171649120]),
[] ).
fof(halfadder_connection_out1or1_in1_and1,plain,
! [A] :
( ~ halfadder(A)
| connection(out1(or1(A)),in1(and1(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171896360,plain,
( ~ halfadder(A)
| connection(out1(or1(A)),in1(and1(A))) ),
inference(rewrite,[status(thm)],[halfadder_connection_out1or1_in1_and1]),
[] ).
cnf(185294688,plain,
connection(out1(or1(h)),in1(and1(h))),
inference(resolution,[status(thm)],[171896360,171908832]),
[] ).
fof(value_propagation_zero2,plain,
! [A,B] :
( ~ connection(A,B)
| ~ zero(B)
| zero(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171635544,plain,
( ~ connection(A,B)
| ~ zero(B)
| zero(A) ),
inference(rewrite,[status(thm)],[value_propagation_zero2]),
[] ).
cnf(192979328,plain,
~ zero(in1(and1(h))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[190103688,185294688,171635544]),
[] ).
fof(halfadder_not1,plain,
! [A] :
( ~ halfadder(A)
| logic_not(not1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171848656,plain,
( ~ halfadder(A)
| logic_not(not1(A)) ),
inference(rewrite,[status(thm)],[halfadder_not1]),
[] ).
cnf(185179992,plain,
logic_not(not1(h)),
inference(resolution,[status(thm)],[171848656,171908832]),
[] ).
fof(not_ok_or_abnormal,plain,
! [A] :
( ~ logic_not(A)
| not_ok(A)
| abnormal(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171828072,plain,
( ~ logic_not(A)
| not_ok(A)
| abnormal(A) ),
inference(rewrite,[status(thm)],[not_ok_or_abnormal]),
[] ).
fof(diagnosis_not1,plain,
~ abnormal(not1(h)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171944512,plain,
~ abnormal(not1(h)),
inference(rewrite,[status(thm)],[diagnosis_not1]),
[] ).
cnf(185811888,plain,
not_ok(not1(h)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[185179992,171828072,171944512]),
[] ).
fof(halfadder_connection_outc_out1and2,plain,
! [A] :
( ~ halfadder(A)
| connection(outc(A),out1(and2(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171888312,plain,
( ~ halfadder(A)
| connection(outc(A),out1(and2(A))) ),
inference(rewrite,[status(thm)],[halfadder_connection_outc_out1and2]),
[] ).
fof(value_propagation_zero1,plain,
! [A,B] :
( ~ connection(A,B)
| ~ zero(A)
| zero(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171623544,plain,
( ~ connection(A,B)
| ~ zero(A)
| zero(B) ),
inference(rewrite,[status(thm)],[value_propagation_zero1]),
[] ).
fof(outc_0,plain,
zero(outc(h)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171935600,plain,
zero(outc(h)),
inference(rewrite,[status(thm)],[outc_0]),
[] ).
cnf(185590928,plain,
( ~ connection(outc(h),A)
| zero(A) ),
inference(resolution,[status(thm)],[171623544,171935600]),
[] ).
cnf(187641776,plain,
zero(out1(and2(h))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[171908832,171888312,185590928]),
[] ).
fof(halfadder_connection_out1and2_in1not1,plain,
! [A] :
( ~ halfadder(A)
| connection(out1(and2(A)),in1(not1(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171900336,plain,
( ~ halfadder(A)
| connection(out1(and2(A)),in1(not1(A))) ),
inference(rewrite,[status(thm)],[halfadder_connection_out1and2_in1not1]),
[] ).
cnf(185308344,plain,
connection(out1(and2(h)),in1(not1(h))),
inference(resolution,[status(thm)],[171900336,171908832]),
[] ).
cnf(193362712,plain,
zero(in1(not1(h))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[187641776,185308344,171623544]),
[] ).
fof(not_0_1_fw,plain,
! [A] :
( ~ not_ok(A)
| ~ zero(in1(A))
| one(out1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171792904,plain,
( ~ not_ok(A)
| ~ zero(in1(A))
| one(out1(A)) ),
inference(rewrite,[status(thm)],[not_0_1_fw]),
[] ).
cnf(193485304,plain,
one(out1(not1(h))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[185811888,193362712,171792904]),
[] ).
cnf(193494800,plain,
~ zero(out1(not1(h))),
inference(resolution,[status(thm)],[193485304,171649120]),
[] ).
fof(halfadder_connection_out1not1_in2and1,plain,
! [A] :
( ~ halfadder(A)
| connection(out1(not1(A)),in2(and1(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171904280,plain,
( ~ halfadder(A)
| connection(out1(not1(A)),in2(and1(A))) ),
inference(rewrite,[status(thm)],[halfadder_connection_out1not1_in2and1]),
[] ).
cnf(185333408,plain,
connection(out1(not1(h)),in2(and1(h))),
inference(resolution,[status(thm)],[171904280,171908832]),
[] ).
cnf(194171256,plain,
~ zero(in2(and1(h))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[193494800,185333408,171635544]),
[] ).
fof(halfadder_connection_outs_out1and1,plain,
! [A] :
( ~ halfadder(A)
| connection(outs(A),out1(and1(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171884256,plain,
( ~ halfadder(A)
| connection(outs(A),out1(and1(A))) ),
inference(rewrite,[status(thm)],[halfadder_connection_outs_out1and1]),
[] ).
fof(outs_0,plain,
zero(outs(h)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171927688,plain,
zero(outs(h)),
inference(rewrite,[status(thm)],[outs_0]),
[] ).
cnf(185535712,plain,
( ~ connection(outs(h),A)
| zero(A) ),
inference(resolution,[status(thm)],[171623544,171927688]),
[] ).
cnf(187420128,plain,
zero(out1(and1(h))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[171908832,171884256,185535712]),
[] ).
fof(halfadder_and1,plain,
! [A] :
( ~ halfadder(A)
| logic_and(and1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171839144,plain,
( ~ halfadder(A)
| logic_and(and1(A)) ),
inference(rewrite,[status(thm)],[halfadder_and1]),
[] ).
cnf(185150616,plain,
logic_and(and1(h)),
inference(resolution,[status(thm)],[171839144,171908832]),
[] ).
fof(and_ok_or_abnormal,plain,
! [A] :
( ~ logic_and(A)
| and_ok(A)
| abnormal(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171717024,plain,
( ~ logic_and(A)
| and_ok(A)
| abnormal(A) ),
inference(rewrite,[status(thm)],[and_ok_or_abnormal]),
[] ).
fof(diagnosis_and1,plain,
~ abnormal(and1(h)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171940096,plain,
~ abnormal(and1(h)),
inference(rewrite,[status(thm)],[diagnosis_and1]),
[] ).
cnf(185668800,plain,
and_ok(and1(h)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[185150616,171717024,171940096]),
[] ).
fof(and_0_00,plain,
! [A] :
( ~ and_ok(A)
| ~ zero(out1(A))
| zero(in1(A))
| zero(in2(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),
[] ).
cnf(171688904,plain,
( ~ and_ok(A)
| ~ zero(out1(A))
| zero(in1(A))
| zero(in2(A)) ),
inference(rewrite,[status(thm)],[and_0_00]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[192979328,194171256,187420128,185668800,171688904]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(h_isa_halfadder,plain,(halfadder(h)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171908832,plain,(halfadder(h)),inference(rewrite,[status(thm)],[h_isa_halfadder]),[]).
%
% fof(halfadder_connection_in1_in1or1,plain,(~halfadder(A)|connection(in1(A),in1(or1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171863544,plain,(~halfadder(A)|connection(in1(A),in1(or1(A)))),inference(rewrite,[status(thm)],[halfadder_connection_in1_in1or1]),[]).
%
% fof(value_propagation_one1,plain,(~connection(A,B)|~one(A)|one(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171630888,plain,(~connection(A,B)|~one(A)|one(B)),inference(rewrite,[status(thm)],[value_propagation_one1]),[]).
%
% fof(in1_1,plain,(one(in1(h))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171918184,plain,(one(in1(h))),inference(rewrite,[status(thm)],[in1_1]),[]).
%
% cnf(185360928,plain,(~connection(in1(h),A)|one(A)),inference(resolution,[status(thm)],[171630888,171918184]),[]).
%
% cnf(186581376,plain,(one(in1(or1(h)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[171908832,171863544,185360928]),[]).
%
% fof(or_1x_1,plain,(~or_ok(A)|~one(in1(A))|one(out1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171729888,plain,(~or_ok(A)|~one(in1(A))|one(out1(A))),inference(rewrite,[status(thm)],[or_1x_1]),[]).
%
% fof(halfadder_or1,plain,(~halfadder(A)|logic_or(or1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171858136,plain,(~halfadder(A)|logic_or(or1(A))),inference(rewrite,[status(thm)],[halfadder_or1]),[]).
%
% cnf(185189280,plain,(logic_or(or1(h))),inference(resolution,[status(thm)],[171858136,171908832]),[]).
%
% fof(or_ok_or_abnormal,plain,(~logic_or(A)|or_ok(A)|abnormal(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171784200,plain,(~logic_or(A)|or_ok(A)|abnormal(A)),inference(rewrite,[status(thm)],[or_ok_or_abnormal]),[]).
%
% fof(diagnosis_or1,plain,(~abnormal(or1(h))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171948496,plain,(~abnormal(or1(h))),inference(rewrite,[status(thm)],[diagnosis_or1]),[]).
%
% cnf(186145936,plain,(or_ok(or1(h))),inference(forward_subsumption_resolution__resolution,[status(thm)],[185189280,171784200,171948496]),[]).
%
% cnf(189806704,plain,(one(out1(or1(h)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[186581376,171729888,186145936]),[]).
%
% fof(unique_value,plain,(~zero(A)|~one(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171649120,plain,(~zero(A)|~one(A)),inference(rewrite,[status(thm)],[unique_value]),[]).
%
% cnf(190103688,plain,(~zero(out1(or1(h)))),inference(resolution,[status(thm)],[189806704,171649120]),[]).
%
% fof(halfadder_connection_out1or1_in1_and1,plain,(~halfadder(A)|connection(out1(or1(A)),in1(and1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171896360,plain,(~halfadder(A)|connection(out1(or1(A)),in1(and1(A)))),inference(rewrite,[status(thm)],[halfadder_connection_out1or1_in1_and1]),[]).
%
% cnf(185294688,plain,(connection(out1(or1(h)),in1(and1(h)))),inference(resolution,[status(thm)],[171896360,171908832]),[]).
%
% fof(value_propagation_zero2,plain,(~connection(A,B)|~zero(B)|zero(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171635544,plain,(~connection(A,B)|~zero(B)|zero(A)),inference(rewrite,[status(thm)],[value_propagation_zero2]),[]).
%
% cnf(192979328,plain,(~zero(in1(and1(h)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[190103688,185294688,171635544]),[]).
%
% fof(halfadder_not1,plain,(~halfadder(A)|logic_not(not1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171848656,plain,(~halfadder(A)|logic_not(not1(A))),inference(rewrite,[status(thm)],[halfadder_not1]),[]).
%
% cnf(185179992,plain,(logic_not(not1(h))),inference(resolution,[status(thm)],[171848656,171908832]),[]).
%
% fof(not_ok_or_abnormal,plain,(~logic_not(A)|not_ok(A)|abnormal(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171828072,plain,(~logic_not(A)|not_ok(A)|abnormal(A)),inference(rewrite,[status(thm)],[not_ok_or_abnormal]),[]).
%
% fof(diagnosis_not1,plain,(~abnormal(not1(h))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171944512,plain,(~abnormal(not1(h))),inference(rewrite,[status(thm)],[diagnosis_not1]),[]).
%
% cnf(185811888,plain,(not_ok(not1(h))),inference(forward_subsumption_resolution__resolution,[status(thm)],[185179992,171828072,171944512]),[]).
%
% fof(halfadder_connection_outc_out1and2,plain,(~halfadder(A)|connection(outc(A),out1(and2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171888312,plain,(~halfadder(A)|connection(outc(A),out1(and2(A)))),inference(rewrite,[status(thm)],[halfadder_connection_outc_out1and2]),[]).
%
% fof(value_propagation_zero1,plain,(~connection(A,B)|~zero(A)|zero(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171623544,plain,(~connection(A,B)|~zero(A)|zero(B)),inference(rewrite,[status(thm)],[value_propagation_zero1]),[]).
%
% fof(outc_0,plain,(zero(outc(h))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171935600,plain,(zero(outc(h))),inference(rewrite,[status(thm)],[outc_0]),[]).
%
% cnf(185590928,plain,(~connection(outc(h),A)|zero(A)),inference(resolution,[status(thm)],[171623544,171935600]),[]).
%
% cnf(187641776,plain,(zero(out1(and2(h)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[171908832,171888312,185590928]),[]).
%
% fof(halfadder_connection_out1and2_in1not1,plain,(~halfadder(A)|connection(out1(and2(A)),in1(not1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171900336,plain,(~halfadder(A)|connection(out1(and2(A)),in1(not1(A)))),inference(rewrite,[status(thm)],[halfadder_connection_out1and2_in1not1]),[]).
%
% cnf(185308344,plain,(connection(out1(and2(h)),in1(not1(h)))),inference(resolution,[status(thm)],[171900336,171908832]),[]).
%
% cnf(193362712,plain,(zero(in1(not1(h)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[187641776,185308344,171623544]),[]).
%
% fof(not_0_1_fw,plain,(~not_ok(A)|~zero(in1(A))|one(out1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171792904,plain,(~not_ok(A)|~zero(in1(A))|one(out1(A))),inference(rewrite,[status(thm)],[not_0_1_fw]),[]).
%
% cnf(193485304,plain,(one(out1(not1(h)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[185811888,193362712,171792904]),[]).
%
% cnf(193494800,plain,(~zero(out1(not1(h)))),inference(resolution,[status(thm)],[193485304,171649120]),[]).
%
% fof(halfadder_connection_out1not1_in2and1,plain,(~halfadder(A)|connection(out1(not1(A)),in2(and1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171904280,plain,(~halfadder(A)|connection(out1(not1(A)),in2(and1(A)))),inference(rewrite,[status(thm)],[halfadder_connection_out1not1_in2and1]),[]).
%
% cnf(185333408,plain,(connection(out1(not1(h)),in2(and1(h)))),inference(resolution,[status(thm)],[171904280,171908832]),[]).
%
% cnf(194171256,plain,(~zero(in2(and1(h)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[193494800,185333408,171635544]),[]).
%
% fof(halfadder_connection_outs_out1and1,plain,(~halfadder(A)|connection(outs(A),out1(and1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171884256,plain,(~halfadder(A)|connection(outs(A),out1(and1(A)))),inference(rewrite,[status(thm)],[halfadder_connection_outs_out1and1]),[]).
%
% fof(outs_0,plain,(zero(outs(h))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171927688,plain,(zero(outs(h))),inference(rewrite,[status(thm)],[outs_0]),[]).
%
% cnf(185535712,plain,(~connection(outs(h),A)|zero(A)),inference(resolution,[status(thm)],[171623544,171927688]),[]).
%
% cnf(187420128,plain,(zero(out1(and1(h)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[171908832,171884256,185535712]),[]).
%
% fof(halfadder_and1,plain,(~halfadder(A)|logic_and(and1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171839144,plain,(~halfadder(A)|logic_and(and1(A))),inference(rewrite,[status(thm)],[halfadder_and1]),[]).
%
% cnf(185150616,plain,(logic_and(and1(h))),inference(resolution,[status(thm)],[171839144,171908832]),[]).
%
% fof(and_ok_or_abnormal,plain,(~logic_and(A)|and_ok(A)|abnormal(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171717024,plain,(~logic_and(A)|and_ok(A)|abnormal(A)),inference(rewrite,[status(thm)],[and_ok_or_abnormal]),[]).
%
% fof(diagnosis_and1,plain,(~abnormal(and1(h))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171940096,plain,(~abnormal(and1(h))),inference(rewrite,[status(thm)],[diagnosis_and1]),[]).
%
% cnf(185668800,plain,(and_ok(and1(h))),inference(forward_subsumption_resolution__resolution,[status(thm)],[185150616,171717024,171940096]),[]).
%
% fof(and_0_00,plain,(~and_ok(A)|~zero(out1(A))|zero(in1(A))|zero(in2(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV005-2.tptp',unknown),[]).
%
% cnf(171688904,plain,(~and_ok(A)|~zero(out1(A))|zero(in1(A))|zero(in2(A))),inference(rewrite,[status(thm)],[and_0_00]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[192979328,194171256,187420128,185668800,171688904]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------