%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LAT277-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:37:05 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 13 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 13 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_0,plain,
c_in(v_x,v_a,t_a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT277-2.tptp',unknown),
[] ).
cnf(149324328,plain,
c_in(v_x,v_a,t_a),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
fof(cls_Relation_OreflD_0,plain,
! [A,B,C,D] :
( ~ c_relation_orefl(A,B,C)
| ~ c_in(D,A,C)
| c_in(c_pair(D,D,C,C),B,tc_prod(C,C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT277-2.tptp',unknown),
[] ).
cnf(149365928,plain,
( ~ c_relation_orefl(A,B,C)
| ~ c_in(D,A,C)
| c_in(c_pair(D,D,C,C),B,tc_prod(C,C)) ),
inference(rewrite,[status(thm)],[cls_Relation_OreflD_0]),
[] ).
fof(cls_conjecture_1,plain,
~ c_in(c_pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT277-2.tptp',unknown),
[] ).
cnf(149329528,plain,
~ c_in(c_pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
cnf(159904536,plain,
( ~ c_relation_orefl(A,v_r,t_a)
| ~ c_in(v_x,A,t_a) ),
inference(resolution,[status(thm)],[149365928,149329528]),
[] ).
fof(cls_Tarski_Ocl_A_58_APartialOrder_0,plain,
c_in(v_cl,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT277-2.tptp',unknown),
[] ).
cnf(149393672,plain,
c_in(v_cl,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit)),
inference(rewrite,[status(thm)],[cls_Tarski_Ocl_A_58_APartialOrder_0]),
[] ).
fof(cls_Tarski_OPartialOrder__iff_0,plain,
! [A,B] :
( ~ c_in(A,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(B,tc_product__type_ounit))
| c_relation_orefl(c_tarski_opotype_opset(A,B,tc_product__type_ounit),c_tarski_opotype_oorder(A,B,tc_product__type_ounit),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT277-2.tptp',unknown),
[] ).
cnf(149385360,plain,
( ~ c_in(A,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(B,tc_product__type_ounit))
| c_relation_orefl(c_tarski_opotype_opset(A,B,tc_product__type_ounit),c_tarski_opotype_oorder(A,B,tc_product__type_ounit),B) ),
inference(rewrite,[status(thm)],[cls_Tarski_OPartialOrder__iff_0]),
[] ).
fof(cls_Tarski_OA_A_61_61_Apset_Acl_0,plain,
$equal(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),v_a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT277-2.tptp',unknown),
[] ).
cnf(149375112,plain,
$equal(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),v_a),
inference(rewrite,[status(thm)],[cls_Tarski_OA_A_61_61_Apset_Acl_0]),
[] ).
cnf(159971584,plain,
c_relation_orefl(v_a,c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),t_a),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[149393672,149385360,149375112,theory(equality)]),
[] ).
fof(cls_Tarski_Or_A_61_61_Aorder_Acl_0,plain,
$equal(c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),v_r),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT277-2.tptp',unknown),
[] ).
cnf(149397680,plain,
$equal(c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),v_r),
inference(rewrite,[status(thm)],[cls_Tarski_Or_A_61_61_Aorder_Acl_0]),
[] ).
cnf(159993248,plain,
c_relation_orefl(v_a,v_r,t_a),
inference(paramodulation,[status(thm)],[159971584,149397680,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[149324328,159904536,159993248]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_0,plain,(c_in(v_x,v_a,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT277-2.tptp',unknown),[]).
%
% cnf(149324328,plain,(c_in(v_x,v_a,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% fof(cls_Relation_OreflD_0,plain,(~c_relation_orefl(A,B,C)|~c_in(D,A,C)|c_in(c_pair(D,D,C,C),B,tc_prod(C,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT277-2.tptp',unknown),[]).
%
% cnf(149365928,plain,(~c_relation_orefl(A,B,C)|~c_in(D,A,C)|c_in(c_pair(D,D,C,C),B,tc_prod(C,C))),inference(rewrite,[status(thm)],[cls_Relation_OreflD_0]),[]).
%
% fof(cls_conjecture_1,plain,(~c_in(c_pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT277-2.tptp',unknown),[]).
%
% cnf(149329528,plain,(~c_in(c_pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% cnf(159904536,plain,(~c_relation_orefl(A,v_r,t_a)|~c_in(v_x,A,t_a)),inference(resolution,[status(thm)],[149365928,149329528]),[]).
%
% fof(cls_Tarski_Ocl_A_58_APartialOrder_0,plain,(c_in(v_cl,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT277-2.tptp',unknown),[]).
%
% cnf(149393672,plain,(c_in(v_cl,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit))),inference(rewrite,[status(thm)],[cls_Tarski_Ocl_A_58_APartialOrder_0]),[]).
%
% fof(cls_Tarski_OPartialOrder__iff_0,plain,(~c_in(A,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(B,tc_product__type_ounit))|c_relation_orefl(c_tarski_opotype_opset(A,B,tc_product__type_ounit),c_tarski_opotype_oorder(A,B,tc_product__type_ounit),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT277-2.tptp',unknown),[]).
%
% cnf(149385360,plain,(~c_in(A,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(B,tc_product__type_ounit))|c_relation_orefl(c_tarski_opotype_opset(A,B,tc_product__type_ounit),c_tarski_opotype_oorder(A,B,tc_product__type_ounit),B)),inference(rewrite,[status(thm)],[cls_Tarski_OPartialOrder__iff_0]),[]).
%
% fof(cls_Tarski_OA_A_61_61_Apset_Acl_0,plain,($equal(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),v_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT277-2.tptp',unknown),[]).
%
% cnf(149375112,plain,($equal(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),v_a)),inference(rewrite,[status(thm)],[cls_Tarski_OA_A_61_61_Apset_Acl_0]),[]).
%
% cnf(159971584,plain,(c_relation_orefl(v_a,c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),t_a)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[149393672,149385360,149375112,theory(equality)]),[]).
%
% fof(cls_Tarski_Or_A_61_61_Aorder_Acl_0,plain,($equal(c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),v_r)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT277-2.tptp',unknown),[]).
%
% cnf(149397680,plain,($equal(c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),v_r)),inference(rewrite,[status(thm)],[cls_Tarski_Or_A_61_61_Aorder_Acl_0]),[]).
%
% cnf(159993248,plain,(c_relation_orefl(v_a,v_r,t_a)),inference(paramodulation,[status(thm)],[159971584,149397680,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[149324328,159904536,159993248]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------