TSTP Solution File: KRS171+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS171+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 13:30:47 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 150 ( 0 equ)
% Maximal formula atoms : 96 ( 5 avg)
% Number of connectives : 188 ( 65 ~; 106 |; 17 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 14 ( 2 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(the_axiom,plain,
( ( rhashead(x,y)
| ~ rhashead(x,y)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ rhasleader(x,y)
| ~ rhashead(x,y)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( rhashead(x,y)
| rhasleader(x,y)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ rhasleader(x,y)
| rhasleader(x,y)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( rhashead(x,y)
| ~ rhashead(x,y)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ rhasleader(x,y)
| ~ rhashead(x,y)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( rhashead(x,y)
| rhasleader(x,y)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ rhasleader(x,y)
| rhasleader(x,y)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( rhashead(x,y)
| ~ rhashead(x,y)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ rhasleader(x,y)
| ~ rhashead(x,y)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( rhashead(x,y)
| rhasleader(x,y)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ rhasleader(x,y)
| rhasleader(x,y)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( rhashead(x,y)
| ~ rhashead(x,y)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ rhasleader(x,y)
| ~ rhashead(x,y)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( rhashead(x,y)
| rhasleader(x,y)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ rhasleader(x,y)
| rhasleader(x,y)
| ~ 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/KRS171+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/KRS171+1.tptp',unknown),
[] ).
cnf(156038824,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/KRS171+1.tptp',unknown),
[] ).
cnf(156032296,plain,
cowlthing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(156324568,plain,
( rhashead(x,y)
| rhasleader(x,y)
| xsd_string(x_nn_1)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,156038824,156032296]),
[] ).
cnf(156338960,plain,
( rhashead(x,y)
| rhasleader(x,y)
| xsd_integer(x_nn_1)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,156324568,156032296]),
[] ).
cnf(156023224,plain,
~ cowlnothing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(172063408,plain,
( rhashead(x,y)
| rhasleader(x,y)
| xsd_integer(x_nn_1) ),
inference(resolution,[status(thm)],[156338960,156023224]),
[] ).
cnf(172058912,plain,
( rhashead(x,y)
| rhasleader(x,y)
| xsd_string(x_nn_1) ),
inference(resolution,[status(thm)],[156324568,156023224]),
[] ).
fof(axiom_2,plain,
! [A,B] :
( ~ rhashead(A,B)
| rhasleader(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS171+1.tptp',unknown),
[] ).
cnf(156051600,plain,
( ~ rhashead(A,B)
| rhasleader(A,B) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(156332296,plain,
( ~ rhashead(x,y)
| xsd_string(x_nn_1)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,156051600,156038824,156032296]),
[] ).
cnf(156349560,plain,
( ~ rhashead(x,y)
| xsd_integer(x_nn_1)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,156332296,156051600,156032296]),
[] ).
cnf(172054312,plain,
( ~ rhashead(x,y)
| xsd_integer(x_nn_1) ),
inference(resolution,[status(thm)],[156349560,156023224]),
[] ).
cnf(172049752,plain,
( ~ rhashead(x,y)
| xsd_string(x_nn_1) ),
inference(resolution,[status(thm)],[156332296,156023224]),
[] ).
cnf(156045416,plain,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(172078112,plain,
~ rhashead(x,y),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172054312,172049752,156045416]),
[] ).
cnf(172102624,plain,
( rhasleader(x,y)
| xsd_string(x_nn_1) ),
inference(resolution,[status(thm)],[172058912,172078112]),
[] ).
fof(axiom_3,plain,
! [A,B] :
( ~ rhasleader(A,B)
| rhashead(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS171+1.tptp',unknown),
[] ).
cnf(156062208,plain,
( ~ rhasleader(A,B)
| rhashead(A,B) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(172093232,plain,
~ rhasleader(x,y),
inference(resolution,[status(thm)],[172078112,156062208]),
[] ).
cnf(172107016,plain,
xsd_string(x_nn_1),
inference(resolution,[status(thm)],[172102624,172093232]),
[] ).
cnf(172118640,plain,
~ xsd_integer(x_nn_1),
inference(resolution,[status(thm)],[172107016,156045416]),
[] ).
cnf(172132360,plain,
( rhashead(x,y)
| rhasleader(x,y) ),
inference(resolution,[status(thm)],[172063408,172118640]),
[] ).
cnf(172140816,plain,
rhasleader(x,y),
inference(resolution,[status(thm)],[172132360,172078112]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[172140816,172093232]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(the_axiom,plain,(((rhashead(x,y)|~rhashead(x,y)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~rhasleader(x,y)|~rhashead(x,y)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(rhashead(x,y)|rhasleader(x,y)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~rhasleader(x,y)|rhasleader(x,y)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(rhashead(x,y)|~rhashead(x,y)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~rhasleader(x,y)|~rhashead(x,y)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(rhashead(x,y)|rhasleader(x,y)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~rhasleader(x,y)|rhasleader(x,y)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(rhashead(x,y)|~rhashead(x,y)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~rhasleader(x,y)|~rhashead(x,y)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(rhashead(x,y)|rhasleader(x,y)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~rhasleader(x,y)|rhasleader(x,y)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(rhashead(x,y)|~rhashead(x,y)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~rhasleader(x,y)|~rhashead(x,y)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(rhashead(x,y)|rhasleader(x,y)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~rhasleader(x,y)|rhasleader(x,y)|~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/KRS171+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/KRS171+1.tptp',unknown),[]).
%
% cnf(156038824,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/KRS171+1.tptp',unknown),[]).
%
% cnf(156032296,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(156324568,plain,(rhashead(x,y)|rhasleader(x,y)|xsd_string(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,156038824,156032296]),[]).
%
% cnf(156338960,plain,(rhashead(x,y)|rhasleader(x,y)|xsd_integer(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,156324568,156032296]),[]).
%
% cnf(156023224,plain,(~cowlnothing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(172063408,plain,(rhashead(x,y)|rhasleader(x,y)|xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[156338960,156023224]),[]).
%
% cnf(172058912,plain,(rhashead(x,y)|rhasleader(x,y)|xsd_string(x_nn_1)),inference(resolution,[status(thm)],[156324568,156023224]),[]).
%
% fof(axiom_2,plain,(~rhashead(A,B)|rhasleader(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS171+1.tptp',unknown),[]).
%
% cnf(156051600,plain,(~rhashead(A,B)|rhasleader(A,B)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(156332296,plain,(~rhashead(x,y)|xsd_string(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,156051600,156038824,156032296]),[]).
%
% cnf(156349560,plain,(~rhashead(x,y)|xsd_integer(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,156332296,156051600,156032296]),[]).
%
% cnf(172054312,plain,(~rhashead(x,y)|xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[156349560,156023224]),[]).
%
% cnf(172049752,plain,(~rhashead(x,y)|xsd_string(x_nn_1)),inference(resolution,[status(thm)],[156332296,156023224]),[]).
%
% cnf(156045416,plain,(~xsd_string(A)|~xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(172078112,plain,(~rhashead(x,y)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172054312,172049752,156045416]),[]).
%
% cnf(172102624,plain,(rhasleader(x,y)|xsd_string(x_nn_1)),inference(resolution,[status(thm)],[172058912,172078112]),[]).
%
% fof(axiom_3,plain,(~rhasleader(A,B)|rhashead(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS171+1.tptp',unknown),[]).
%
% cnf(156062208,plain,(~rhasleader(A,B)|rhashead(A,B)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(172093232,plain,(~rhasleader(x,y)),inference(resolution,[status(thm)],[172078112,156062208]),[]).
%
% cnf(172107016,plain,(xsd_string(x_nn_1)),inference(resolution,[status(thm)],[172102624,172093232]),[]).
%
% cnf(172118640,plain,(~xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[172107016,156045416]),[]).
%
% cnf(172132360,plain,(rhashead(x,y)|rhasleader(x,y)),inference(resolution,[status(thm)],[172063408,172118640]),[]).
%
% cnf(172140816,plain,(rhasleader(x,y)),inference(resolution,[status(thm)],[172132360,172078112]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[172140816,172093232]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------