TSTP Solution File: KRS174+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS174+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 13:30:53 EDT 2009
% Result : Theorem 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 62 ( 12 unt; 0 def)
% Number of atoms : 484 ( 0 equ)
% Maximal formula atoms : 336 ( 7 avg)
% Number of connectives : 653 ( 231 ~; 369 |; 53 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 55 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 29 ( 2 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(the_axiom,plain,
( ( ~ ca_and_b(x)
| ~ ca_and_b(x)
| ~ cb(x)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ~ ca_and_b(x)
| ~ cb(x)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ca(x)
| ~ cb(x)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ca(x)
| ~ cb(x)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ~ ca_and_b(x)
| ~ ca(x)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ~ ca_and_b(x)
| ~ ca(x)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ca(x)
| ~ ca(x)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ca(x)
| ~ ca(x)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ~ ca_and_b(x)
| ca_and_b(x)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ~ ca_and_b(x)
| ca_and_b(x)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ca(x)
| ca_and_b(x)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ca(x)
| ca_and_b(x)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ~ ca_and_b(x)
| ~ cb(x)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ~ ca_and_b(x)
| ~ cb(x)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ca(x)
| ~ cb(x)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ca(x)
| ~ cb(x)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ~ ca_and_b(x)
| ~ ca(x)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ~ ca_and_b(x)
| ~ ca(x)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ca(x)
| ~ ca(x)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ca(x)
| ~ ca(x)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ~ ca_and_b(x)
| ca_and_b(x)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ~ ca_and_b(x)
| ca_and_b(x)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ca(x)
| ca_and_b(x)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ca(x)
| ca_and_b(x)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ~ ca_and_b(x)
| ~ cb(x)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ~ ca_and_b(x)
| ~ cb(x)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ca(x)
| ~ cb(x)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ca(x)
| ~ cb(x)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ~ ca_and_b(x)
| ~ ca(x)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ~ ca_and_b(x)
| ~ ca(x)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ca(x)
| ~ ca(x)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ca(x)
| ~ ca(x)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ~ ca_and_b(x)
| ca_and_b(x)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ~ ca_and_b(x)
| ca_and_b(x)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ca(x)
| ca_and_b(x)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ca(x)
| ca_and_b(x)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ~ ca_and_b(x)
| ~ cb(x)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ~ ca_and_b(x)
| ~ cb(x)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ca(x)
| ~ cb(x)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ca(x)
| ~ cb(x)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ~ ca_and_b(x)
| ~ ca(x)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ~ ca_and_b(x)
| ~ ca(x)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ca(x)
| ~ ca(x)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ca(x)
| ~ ca(x)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ~ ca_and_b(x)
| ca_and_b(x)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ~ ca_and_b(x)
| ca_and_b(x)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ ca_and_b(x)
| ca(x)
| ca_and_b(x)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( cb(x)
| ca(x)
| ca_and_b(x)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS174+1.tptp',unknown),
[] ).
fof(axiom_1,plain,
! [A] :
( ( ~ xsd_string(A)
| ~ xsd_integer(A) )
& ( xsd_string(A)
| xsd_integer(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS174+1.tptp',unknown),
[] ).
cnf(164467024,plain,
( xsd_string(A)
| xsd_integer(A) ),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
fof(axiom_0,plain,
! [A] :
( cowlthing(A)
& ~ cowlnothing(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS174+1.tptp',unknown),
[] ).
cnf(164548608,plain,
cowlthing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(165280088,plain,
( ~ ca_and_b(x)
| ~ ca(x)
| xsd_string(x_nn_1)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,164467024,164548608]),
[] ).
cnf(165322696,plain,
( ~ ca_and_b(x)
| ~ ca(x)
| xsd_integer(x_nn_1)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,165280088,164548608]),
[] ).
cnf(164536176,plain,
~ cowlnothing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(196983992,plain,
( ~ ca_and_b(x)
| ~ ca(x)
| xsd_integer(x_nn_1) ),
inference(resolution,[status(thm)],[165322696,164536176]),
[] ).
fof(axiom_3,plain,
! [A] :
( ( ~ ca_and_b(A)
| $equal(ib,A)
| $equal(ia,A) )
& ( ~ $equal(ia,A)
| ca_and_b(A) )
& ( ~ $equal(ib,A)
| ca_and_b(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS174+1.tptp',unknown),
[] ).
cnf(164590104,plain,
( ~ $equal(ia,A)
| ca_and_b(A) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
fof(axiom_2,plain,
! [A] :
( ( ~ ca(A)
| $equal(ia,A) )
& ( ca(A)
| ~ $equal(ia,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS174+1.tptp',unknown),
[] ).
cnf(164574544,plain,
( ~ ca(A)
| $equal(ia,A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(197043960,plain,
( ca_and_b(A)
| ~ ca(A) ),
inference(resolution,[status(thm)],[164590104,164574544]),
[] ).
cnf(196964856,plain,
( ~ ca_and_b(x)
| ~ ca(x)
| xsd_string(x_nn_1) ),
inference(resolution,[status(thm)],[165280088,164536176]),
[] ).
cnf(164561664,plain,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(199495032,plain,
~ ca(x),
inference(forward_subsumption_resolution__resolution,[status(thm)],[196983992,197043960,196964856,164561664]),
[] ).
cnf(165260360,plain,
( cb(x)
| ca(x)
| ca_and_b(x)
| xsd_string(x_nn_1)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,164467024,164548608]),
[] ).
cnf(165309040,plain,
( cb(x)
| ca(x)
| ca_and_b(x)
| xsd_integer(x_nn_1)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,165260360,164548608]),
[] ).
cnf(196978344,plain,
( cb(x)
| ca(x)
| ca_and_b(x)
| xsd_integer(x_nn_1) ),
inference(resolution,[status(thm)],[165309040,164536176]),
[] ).
cnf(196960112,plain,
( cb(x)
| ca(x)
| ca_and_b(x)
| xsd_string(x_nn_1) ),
inference(resolution,[status(thm)],[165260360,164536176]),
[] ).
cnf(197707392,plain,
( cb(x)
| ca(x)
| ca_and_b(x) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[196978344,196960112,164561664]),
[] ).
cnf(197888952,plain,
( cb(x)
| ca_and_b(x) ),
inference(resolution,[status(thm)],[197707392,197043960]),
[] ).
fof(axiom_4,plain,
! [A] :
( ( ~ cb(A)
| $equal(ib,A) )
& ( cb(A)
| ~ $equal(ib,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS174+1.tptp',unknown),
[] ).
cnf(164466536,plain,
( ~ cb(A)
| $equal(ib,A) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
cnf(164584224,plain,
( ~ $equal(ib,A)
| ca_and_b(A) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(197070512,plain,
( ~ cb(A)
| ca_and_b(A) ),
inference(resolution,[status(thm)],[164466536,164584224]),
[] ).
cnf(197928128,plain,
ca_and_b(x),
inference(resolution,[status(thm)],[197888952,197070512]),
[] ).
cnf(164597976,plain,
( ~ ca_and_b(A)
| $equal(ib,A)
| $equal(ia,A) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(197958336,plain,
( $equal(ib,x)
| $equal(ia,x) ),
inference(resolution,[status(thm)],[197928128,164597976]),
[] ).
cnf(164567832,plain,
( ca(A)
| ~ $equal(ia,A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(197995832,plain,
( $equal(ib,x)
| ca(x) ),
inference(resolution,[status(thm)],[197958336,164567832]),
[] ).
cnf(164604592,plain,
( cb(A)
| ~ $equal(ib,A) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
cnf(198160744,plain,
( ca(x)
| cb(x) ),
inference(resolution,[status(thm)],[197995832,164604592]),
[] ).
cnf(199605104,plain,
cb(x),
inference(resolution,[status(thm)],[199495032,198160744]),
[] ).
cnf(165302352,plain,
( ~ ca_and_b(x)
| ~ cb(x)
| xsd_string(x_nn_1)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,164467024,164548608]),
[] ).
cnf(165340064,plain,
( ~ ca_and_b(x)
| ~ cb(x)
| xsd_integer(x_nn_1)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,165302352,164548608]),
[] ).
cnf(204761464,plain,
( xsd_integer(x_nn_1)
| cowlnothing(x_nn_2) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[199605104,165340064,197070512]),
[] ).
fof(cA_substitution_1,plain,
! [B,A] :
( ~ $equal(B,A)
| ~ ca(A)
| ca(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS174+1.tptp',unknown),
[] ).
cnf(164482752,plain,
( ~ $equal(B,A)
| ~ ca(A)
| ca(B) ),
inference(rewrite,[status(thm)],[cA_substitution_1]),
[] ).
cnf(198252696,plain,
( cb(x)
| ~ $equal(A,x)
| ca(A) ),
inference(resolution,[status(thm)],[198160744,164482752]),
[] ).
cnf(197014264,plain,
ca(ia),
inference(equality_resolution,[status(thm)],[164567832]),
[] ).
cnf(197093800,plain,
( ~ $equal(A,ia)
| ca(A) ),
inference(resolution,[status(thm)],[164482752,197014264]),
[] ).
cnf(197154136,plain,
( ca(ib)
| ~ cb(ia) ),
inference(resolution,[status(thm)],[197093800,164466536]),
[] ).
cnf(198208544,plain,
( ca(x)
| ~ cb(ia) ),
inference(paramodulation,[status(thm)],[197995832,197154136,theory(equality)]),
[] ).
fof(cB_substitution_1,plain,
! [B,A] :
( ~ $equal(B,A)
| ~ cb(A)
| cb(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS174+1.tptp',unknown),
[] ).
cnf(164496400,plain,
( ~ $equal(B,A)
| ~ cb(A)
| cb(B) ),
inference(rewrite,[status(thm)],[cB_substitution_1]),
[] ).
cnf(197056616,plain,
cb(ib),
inference(equality_resolution,[status(thm)],[164604592]),
[] ).
cnf(197305936,plain,
( ~ $equal(A,ib)
| cb(A) ),
inference(resolution,[status(thm)],[164496400,197056616]),
[] ).
cnf(197424736,plain,
( cb(ia)
| ~ ca(ib) ),
inference(resolution,[status(thm)],[197305936,164574544]),
[] ).
cnf(198381344,plain,
( ca(x)
| ~ ca(ib) ),
inference(resolution,[status(thm)],[198208544,197424736]),
[] ).
cnf(198463376,plain,
( ~ ca(ib)
| $equal(ia,x) ),
inference(resolution,[status(thm)],[198381344,164574544]),
[] ).
cnf(198003688,plain,
( $equal(ia,x)
| cb(x) ),
inference(resolution,[status(thm)],[197958336,164604592]),
[] ).
cnf(198327056,plain,
( cb(x)
| ~ ca(ib) ),
inference(paramodulation,[status(thm)],[198003688,197424736,theory(equality)]),
[] ).
cnf(198433976,plain,
( cb(x)
| ~ $equal(ib,ia) ),
inference(resolution,[status(thm)],[198327056,197093800]),
[] ).
cnf(198903080,plain,
( cb(x)
| ~ $equal(ib,x) ),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[198252696,198463376,198433976,theory(equality)]),
[] ).
cnf(199676504,plain,
$equal(ib,x),
inference(resolution,[status(thm)],[199605104,164466536]),
[] ).
cnf(204693176,plain,
( xsd_string(x_nn_1)
| cowlnothing(x_nn_2) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[198903080,199676504,165302352,164584224]),
[] ).
cnf(204701816,plain,
xsd_string(x_nn_1),
inference(resolution,[status(thm)],[204693176,164536176]),
[] ).
cnf(204717648,plain,
~ xsd_integer(x_nn_1),
inference(resolution,[status(thm)],[204701816,164561664]),
[] ).
cnf(204770120,plain,
cowlnothing(x_nn_2),
inference(resolution,[status(thm)],[204761464,204717648]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[204770120,164536176]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(the_axiom,plain,(((~ca_and_b(x)|~ca_and_b(x)|~cb(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~ca_and_b(x)|~cb(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|ca(x)|~cb(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|~cb(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|~ca_and_b(x)|~ca(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~ca_and_b(x)|~ca(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|ca(x)|~ca(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|~ca(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|~ca_and_b(x)|ca_and_b(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~ca_and_b(x)|ca_and_b(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|ca(x)|ca_and_b(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|ca_and_b(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|~ca_and_b(x)|~cb(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~ca_and_b(x)|~cb(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|ca(x)|~cb(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|~cb(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|~ca_and_b(x)|~ca(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~ca_and_b(x)|~ca(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|ca(x)|~ca(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|~ca(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|~ca_and_b(x)|ca_and_b(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~ca_and_b(x)|ca_and_b(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|ca(x)|ca_and_b(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|ca_and_b(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|~ca_and_b(x)|~cb(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~ca_and_b(x)|~cb(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|ca(x)|~cb(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|~cb(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|~ca_and_b(x)|~ca(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~ca_and_b(x)|~ca(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|ca(x)|~ca(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|~ca(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|~ca_and_b(x)|ca_and_b(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~ca_and_b(x)|ca_and_b(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|ca(x)|ca_and_b(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|ca_and_b(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|~ca_and_b(x)|~cb(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~ca_and_b(x)|~cb(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|ca(x)|~cb(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|~cb(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|~ca_and_b(x)|~ca(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~ca_and_b(x)|~ca(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|ca(x)|~ca(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|~ca(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|~ca_and_b(x)|ca_and_b(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~ca_and_b(x)|ca_and_b(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ca_and_b(x)|ca(x)|ca_and_b(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|ca_and_b(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS174+1.tptp',unknown),[]).
%
% fof(axiom_1,plain,(((~xsd_string(A)|~xsd_integer(A))&(xsd_string(A)|xsd_integer(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS174+1.tptp',unknown),[]).
%
% cnf(164467024,plain,(xsd_string(A)|xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% fof(axiom_0,plain,((cowlthing(A)&~cowlnothing(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS174+1.tptp',unknown),[]).
%
% cnf(164548608,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(165280088,plain,(~ca_and_b(x)|~ca(x)|xsd_string(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,164467024,164548608]),[]).
%
% cnf(165322696,plain,(~ca_and_b(x)|~ca(x)|xsd_integer(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,165280088,164548608]),[]).
%
% cnf(164536176,plain,(~cowlnothing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(196983992,plain,(~ca_and_b(x)|~ca(x)|xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[165322696,164536176]),[]).
%
% fof(axiom_3,plain,(((~ca_and_b(A)|$equal(ib,A)|$equal(ia,A))&(~$equal(ia,A)|ca_and_b(A))&(~$equal(ib,A)|ca_and_b(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS174+1.tptp',unknown),[]).
%
% cnf(164590104,plain,(~$equal(ia,A)|ca_and_b(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% fof(axiom_2,plain,(((~ca(A)|$equal(ia,A))&(ca(A)|~$equal(ia,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS174+1.tptp',unknown),[]).
%
% cnf(164574544,plain,(~ca(A)|$equal(ia,A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(197043960,plain,(ca_and_b(A)|~ca(A)),inference(resolution,[status(thm)],[164590104,164574544]),[]).
%
% cnf(196964856,plain,(~ca_and_b(x)|~ca(x)|xsd_string(x_nn_1)),inference(resolution,[status(thm)],[165280088,164536176]),[]).
%
% cnf(164561664,plain,(~xsd_string(A)|~xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(199495032,plain,(~ca(x)),inference(forward_subsumption_resolution__resolution,[status(thm)],[196983992,197043960,196964856,164561664]),[]).
%
% cnf(165260360,plain,(cb(x)|ca(x)|ca_and_b(x)|xsd_string(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,164467024,164548608]),[]).
%
% cnf(165309040,plain,(cb(x)|ca(x)|ca_and_b(x)|xsd_integer(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,165260360,164548608]),[]).
%
% cnf(196978344,plain,(cb(x)|ca(x)|ca_and_b(x)|xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[165309040,164536176]),[]).
%
% cnf(196960112,plain,(cb(x)|ca(x)|ca_and_b(x)|xsd_string(x_nn_1)),inference(resolution,[status(thm)],[165260360,164536176]),[]).
%
% cnf(197707392,plain,(cb(x)|ca(x)|ca_and_b(x)),inference(forward_subsumption_resolution__resolution,[status(thm)],[196978344,196960112,164561664]),[]).
%
% cnf(197888952,plain,(cb(x)|ca_and_b(x)),inference(resolution,[status(thm)],[197707392,197043960]),[]).
%
% fof(axiom_4,plain,(((~cb(A)|$equal(ib,A))&(cb(A)|~$equal(ib,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS174+1.tptp',unknown),[]).
%
% cnf(164466536,plain,(~cb(A)|$equal(ib,A)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% cnf(164584224,plain,(~$equal(ib,A)|ca_and_b(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(197070512,plain,(~cb(A)|ca_and_b(A)),inference(resolution,[status(thm)],[164466536,164584224]),[]).
%
% cnf(197928128,plain,(ca_and_b(x)),inference(resolution,[status(thm)],[197888952,197070512]),[]).
%
% cnf(164597976,plain,(~ca_and_b(A)|$equal(ib,A)|$equal(ia,A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(197958336,plain,($equal(ib,x)|$equal(ia,x)),inference(resolution,[status(thm)],[197928128,164597976]),[]).
%
% cnf(164567832,plain,(ca(A)|~$equal(ia,A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(197995832,plain,($equal(ib,x)|ca(x)),inference(resolution,[status(thm)],[197958336,164567832]),[]).
%
% cnf(164604592,plain,(cb(A)|~$equal(ib,A)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% cnf(198160744,plain,(ca(x)|cb(x)),inference(resolution,[status(thm)],[197995832,164604592]),[]).
%
% cnf(199605104,plain,(cb(x)),inference(resolution,[status(thm)],[199495032,198160744]),[]).
%
% cnf(165302352,plain,(~ca_and_b(x)|~cb(x)|xsd_string(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,164467024,164548608]),[]).
%
% cnf(165340064,plain,(~ca_and_b(x)|~cb(x)|xsd_integer(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,165302352,164548608]),[]).
%
% cnf(204761464,plain,(xsd_integer(x_nn_1)|cowlnothing(x_nn_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[199605104,165340064,197070512]),[]).
%
% fof(cA_substitution_1,plain,(~$equal(B,A)|~ca(A)|ca(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS174+1.tptp',unknown),[]).
%
% cnf(164482752,plain,(~$equal(B,A)|~ca(A)|ca(B)),inference(rewrite,[status(thm)],[cA_substitution_1]),[]).
%
% cnf(198252696,plain,(cb(x)|~$equal(A,x)|ca(A)),inference(resolution,[status(thm)],[198160744,164482752]),[]).
%
% cnf(197014264,plain,(ca(ia)),inference(equality_resolution,[status(thm)],[164567832]),[]).
%
% cnf(197093800,plain,(~$equal(A,ia)|ca(A)),inference(resolution,[status(thm)],[164482752,197014264]),[]).
%
% cnf(197154136,plain,(ca(ib)|~cb(ia)),inference(resolution,[status(thm)],[197093800,164466536]),[]).
%
% cnf(198208544,plain,(ca(x)|~cb(ia)),inference(paramodulation,[status(thm)],[197995832,197154136,theory(equality)]),[]).
%
% fof(cB_substitution_1,plain,(~$equal(B,A)|~cb(A)|cb(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS174+1.tptp',unknown),[]).
%
% cnf(164496400,plain,(~$equal(B,A)|~cb(A)|cb(B)),inference(rewrite,[status(thm)],[cB_substitution_1]),[]).
%
% cnf(197056616,plain,(cb(ib)),inference(equality_resolution,[status(thm)],[164604592]),[]).
%
% cnf(197305936,plain,(~$equal(A,ib)|cb(A)),inference(resolution,[status(thm)],[164496400,197056616]),[]).
%
% cnf(197424736,plain,(cb(ia)|~ca(ib)),inference(resolution,[status(thm)],[197305936,164574544]),[]).
%
% cnf(198381344,plain,(ca(x)|~ca(ib)),inference(resolution,[status(thm)],[198208544,197424736]),[]).
%
% cnf(198463376,plain,(~ca(ib)|$equal(ia,x)),inference(resolution,[status(thm)],[198381344,164574544]),[]).
%
% cnf(198003688,plain,($equal(ia,x)|cb(x)),inference(resolution,[status(thm)],[197958336,164604592]),[]).
%
% cnf(198327056,plain,(cb(x)|~ca(ib)),inference(paramodulation,[status(thm)],[198003688,197424736,theory(equality)]),[]).
%
% cnf(198433976,plain,(cb(x)|~$equal(ib,ia)),inference(resolution,[status(thm)],[198327056,197093800]),[]).
%
% cnf(198903080,plain,(cb(x)|~$equal(ib,x)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[198252696,198463376,198433976,theory(equality)]),[]).
%
% cnf(199676504,plain,($equal(ib,x)),inference(resolution,[status(thm)],[199605104,164466536]),[]).
%
% cnf(204693176,plain,(xsd_string(x_nn_1)|cowlnothing(x_nn_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[198903080,199676504,165302352,164584224]),[]).
%
% cnf(204701816,plain,(xsd_string(x_nn_1)),inference(resolution,[status(thm)],[204693176,164536176]),[]).
%
% cnf(204717648,plain,(~xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[204701816,164561664]),[]).
%
% cnf(204770120,plain,(cowlnothing(x_nn_2)),inference(resolution,[status(thm)],[204761464,204717648]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[204770120,164536176]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------