TSTP Solution File: LAT278-2 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LAT278-2 : 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 13:37:07 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 11 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/LAT278-2.tptp',unknown),
[] ).
cnf(159721928,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_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/LAT278-2.tptp',unknown),
[] ).
cnf(159730968,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]),
[] ).
cnf(167547584,plain,
c_relation_orefl(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),t_a),
inference(resolution,[status(thm)],[159721928,159730968]),
[] ).
fof(cls_conjecture_0,plain,
~ c_relation_orefl(v_a,v_r,t_a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT278-2.tptp',unknown),
[] ).
cnf(159709976,plain,
~ c_relation_orefl(v_a,v_r,t_a),
inference(rewrite,[status(thm)],[cls_conjecture_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/LAT278-2.tptp',unknown),
[] ).
cnf(159715032,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(167564800,plain,
~ c_relation_orefl(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),v_r,t_a),
inference(paramodulation,[status(thm)],[159709976,159715032,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/LAT278-2.tptp',unknown),
[] ).
cnf(159735088,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(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[167547584,167564800,159735088,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Tarski_OPartialOrder__iff_0,plain,(~c_in(A,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(B,tc_product__type_ounit))|c_relation_orefl(c_tarski_opotype_opset(A,B,tc_product__type_ounit),c_tarski_opotype_oorder(A,B,tc_product__type_ounit),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT278-2.tptp',unknown),[]).
%
% cnf(159721928,plain,(~c_in(A,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(B,tc_product__type_ounit))|c_relation_orefl(c_tarski_opotype_opset(A,B,tc_product__type_ounit),c_tarski_opotype_oorder(A,B,tc_product__type_ounit),B)),inference(rewrite,[status(thm)],[cls_Tarski_OPartialOrder__iff_0]),[]).
%
% fof(cls_Tarski_Ocl_A_58_APartialOrder_0,plain,(c_in(v_cl,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT278-2.tptp',unknown),[]).
%
% cnf(159730968,plain,(c_in(v_cl,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit))),inference(rewrite,[status(thm)],[cls_Tarski_Ocl_A_58_APartialOrder_0]),[]).
%
% cnf(167547584,plain,(c_relation_orefl(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),t_a)),inference(resolution,[status(thm)],[159721928,159730968]),[]).
%
% fof(cls_conjecture_0,plain,(~c_relation_orefl(v_a,v_r,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT278-2.tptp',unknown),[]).
%
% cnf(159709976,plain,(~c_relation_orefl(v_a,v_r,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% fof(cls_Tarski_OA_A_61_61_Apset_Acl_0,plain,($equal(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),v_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT278-2.tptp',unknown),[]).
%
% cnf(159715032,plain,($equal(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),v_a)),inference(rewrite,[status(thm)],[cls_Tarski_OA_A_61_61_Apset_Acl_0]),[]).
%
% cnf(167564800,plain,(~c_relation_orefl(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),v_r,t_a)),inference(paramodulation,[status(thm)],[159709976,159715032,theory(equality)]),[]).
%
% fof(cls_Tarski_Or_A_61_61_Aorder_Acl_0,plain,($equal(c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),v_r)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT278-2.tptp',unknown),[]).
%
% cnf(159735088,plain,($equal(c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),v_r)),inference(rewrite,[status(thm)],[cls_Tarski_Or_A_61_61_Aorder_Acl_0]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[167547584,167564800,159735088,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------