TSTP Solution File: LAT266-2 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LAT266-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 13:36:35 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 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_conjecture_0,plain,
c_lessequals(v_s,c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),tc_set(t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT266-2.tptp',unknown),
[] ).
cnf(151091528,plain,
c_lessequals(v_s,c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),tc_set(t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
fof(cls_conjecture_2,plain,
~ c_lessequals(v_s,c_tarski_opotype_opset(c_tarski_odual(v_cl,t_a),t_a,tc_product__type_ounit),tc_set(t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT266-2.tptp',unknown),
[] ).
cnf(151096720,plain,
~ c_lessequals(v_s,c_tarski_opotype_opset(c_tarski_odual(v_cl,t_a),t_a,tc_product__type_ounit),tc_set(t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
fof(cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,plain,
! [A,B] : $equal(c_tarski_opotype_opset(c_tarski_odual(A,B),B,tc_product__type_ounit),c_tarski_opotype_opset(A,B,tc_product__type_ounit)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT266-2.tptp',unknown),
[] ).
cnf(151109664,plain,
$equal(c_tarski_opotype_opset(c_tarski_odual(A,B),B,tc_product__type_ounit),c_tarski_opotype_opset(A,B,tc_product__type_ounit)),
inference(rewrite,[status(thm)],[cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[151091528,151096720,151109664,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_0,plain,(c_lessequals(v_s,c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),tc_set(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT266-2.tptp',unknown),[]).
%
% cnf(151091528,plain,(c_lessequals(v_s,c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),tc_set(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% fof(cls_conjecture_2,plain,(~c_lessequals(v_s,c_tarski_opotype_opset(c_tarski_odual(v_cl,t_a),t_a,tc_product__type_ounit),tc_set(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT266-2.tptp',unknown),[]).
%
% cnf(151096720,plain,(~c_lessequals(v_s,c_tarski_opotype_opset(c_tarski_odual(v_cl,t_a),t_a,tc_product__type_ounit),tc_set(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% fof(cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,plain,($equal(c_tarski_opotype_opset(c_tarski_odual(A,B),B,tc_product__type_ounit),c_tarski_opotype_opset(A,B,tc_product__type_ounit))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT266-2.tptp',unknown),[]).
%
% cnf(151109664,plain,($equal(c_tarski_opotype_opset(c_tarski_odual(A,B),B,tc_product__type_ounit),c_tarski_opotype_opset(A,B,tc_product__type_ounit))),inference(rewrite,[status(thm)],[cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[151091528,151096720,151109664,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------