%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS152+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:29:47 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 13 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 105 ( 45 ~; 51 |; 9 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 10 ( 2 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_15,plain,
cc4(iv21081),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS152+1.tptp',unknown),
[] ).
cnf(156206328,plain,
cc4(iv21081),
inference(rewrite,[status(thm)],[axiom_15]),
[] ).
fof(axiom_2,plain,
! [A] :
( ( cc4(A)
| ~ cc10(A) )
& ( cc2(A)
| ~ cc10(A) )
& ( cc10(A)
| ~ cc2(A)
| ~ cc4(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS152+1.tptp',unknown),
[] ).
cnf(156037424,plain,
( cc10(A)
| ~ cc2(A)
| ~ cc4(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_14,plain,
cc2(iv21081),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS152+1.tptp',unknown),
[] ).
cnf(156201960,plain,
cc2(iv21081),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(166896240,plain,
cc10(iv21081),
inference(forward_subsumption_resolution__resolution,[status(thm)],[156206328,156037424,156201960]),
[] ).
fof(the_axiom,plain,
( ( ~ xsd_integer(x)
| xsd_integer(x)
| ~ cowlthing(iv21080)
| ~ cc12(iv21080)
| ~ cc10(iv21081)
| ~ cowlthing(iv21081)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_string(x)
| xsd_integer(x)
| ~ cowlthing(iv21080)
| ~ cc12(iv21080)
| ~ cc10(iv21081)
| ~ cowlthing(iv21081)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_integer(x)
| xsd_string(x)
| ~ cowlthing(iv21080)
| ~ cc12(iv21080)
| ~ cc10(iv21081)
| ~ cowlthing(iv21081)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_string(x)
| xsd_string(x)
| ~ cowlthing(iv21080)
| ~ cc12(iv21080)
| ~ cc10(iv21081)
| ~ cowlthing(iv21081)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS152+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/KRS152+1.tptp',unknown),
[] ).
cnf(156018448,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/KRS152+1.tptp',unknown),
[] ).
cnf(156011632,plain,
cowlthing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(156350592,plain,
( xsd_string(x)
| ~ cc12(iv21080)
| ~ cc10(iv21081)
| cowlnothing(x_nn_1) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,156018448,156011632]),
[] ).
fof(axiom_6,plain,
! [A] :
( ( ~ cc8(A)
| ~ ctest(A) )
& ( cc12(A)
| ~ ctest(A) )
& ( ctest(A)
| ~ cc12(A)
| cc8(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS152+1.tptp',unknown),
[] ).
cnf(155999704,plain,
( cc12(A)
| ~ ctest(A) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
fof(axiom_7,plain,
ctest(iv21080),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS152+1.tptp',unknown),
[] ).
cnf(156168880,plain,
ctest(iv21080),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(166885512,plain,
cc12(iv21080),
inference(resolution,[status(thm)],[155999704,156168880]),
[] ).
cnf(166926112,plain,
( xsd_string(x)
| cowlnothing(x_nn_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166896240,156350592,166885512]),
[] ).
cnf(156002840,plain,
~ cowlnothing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(167029344,plain,
xsd_string(x),
inference(resolution,[status(thm)],[166926112,156002840]),
[] ).
cnf(156025328,plain,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(156361064,plain,
( xsd_integer(x)
| ~ cc12(iv21080)
| ~ cc10(iv21081)
| cowlnothing(x_nn_1) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,156350592,156011632]),
[] ).
cnf(166925024,plain,
( xsd_integer(x)
| cowlnothing(x_nn_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166896240,156361064,166885512]),
[] ).
cnf(167024424,plain,
xsd_integer(x),
inference(resolution,[status(thm)],[166925024,156002840]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[167029344,156025328,167024424]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_15,plain,(cc4(iv21081)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS152+1.tptp',unknown),[]).
%
% cnf(156206328,plain,(cc4(iv21081)),inference(rewrite,[status(thm)],[axiom_15]),[]).
%
% fof(axiom_2,plain,(((cc4(A)|~cc10(A))&(cc2(A)|~cc10(A))&(cc10(A)|~cc2(A)|~cc4(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS152+1.tptp',unknown),[]).
%
% cnf(156037424,plain,(cc10(A)|~cc2(A)|~cc4(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_14,plain,(cc2(iv21081)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS152+1.tptp',unknown),[]).
%
% cnf(156201960,plain,(cc2(iv21081)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(166896240,plain,(cc10(iv21081)),inference(forward_subsumption_resolution__resolution,[status(thm)],[156206328,156037424,156201960]),[]).
%
% fof(the_axiom,plain,(((~xsd_integer(x)|xsd_integer(x)|~cowlthing(iv21080)|~cc12(iv21080)|~cc10(iv21081)|~cowlthing(iv21081)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_integer(x)|~cowlthing(iv21080)|~cc12(iv21080)|~cc10(iv21081)|~cowlthing(iv21081)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_integer(x)|xsd_string(x)|~cowlthing(iv21080)|~cc12(iv21080)|~cc10(iv21081)|~cowlthing(iv21081)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_string(x)|~cowlthing(iv21080)|~cc12(iv21080)|~cc10(iv21081)|~cowlthing(iv21081)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS152+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/KRS152+1.tptp',unknown),[]).
%
% cnf(156018448,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/KRS152+1.tptp',unknown),[]).
%
% cnf(156011632,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(156350592,plain,(xsd_string(x)|~cc12(iv21080)|~cc10(iv21081)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,156018448,156011632]),[]).
%
% fof(axiom_6,plain,(((~cc8(A)|~ctest(A))&(cc12(A)|~ctest(A))&(ctest(A)|~cc12(A)|cc8(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS152+1.tptp',unknown),[]).
%
% cnf(155999704,plain,(cc12(A)|~ctest(A)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% fof(axiom_7,plain,(ctest(iv21080)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS152+1.tptp',unknown),[]).
%
% cnf(156168880,plain,(ctest(iv21080)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(166885512,plain,(cc12(iv21080)),inference(resolution,[status(thm)],[155999704,156168880]),[]).
%
% cnf(166926112,plain,(xsd_string(x)|cowlnothing(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166896240,156350592,166885512]),[]).
%
% cnf(156002840,plain,(~cowlnothing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(167029344,plain,(xsd_string(x)),inference(resolution,[status(thm)],[166926112,156002840]),[]).
%
% cnf(156025328,plain,(~xsd_string(A)|~xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(156361064,plain,(xsd_integer(x)|~cc12(iv21080)|~cc10(iv21081)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,156350592,156011632]),[]).
%
% cnf(166925024,plain,(xsd_integer(x)|cowlnothing(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166896240,156361064,166885512]),[]).
%
% cnf(167024424,plain,(xsd_integer(x)),inference(resolution,[status(thm)],[166925024,156002840]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[167029344,156025328,167024424]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------