TSTP Solution File: LAT273-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LAT273-2 : 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 13:36:53 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 19 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 27 ( 1 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_4,plain,
c_tarski_oislub(v_s,v_cl,v_l,t_a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT273-2.tptp',unknown),
[] ).
cnf(149011792,plain,
c_tarski_oislub(v_s,v_cl,v_l,t_a),
inference(rewrite,[status(thm)],[cls_conjecture_4]),
[] ).
fof(cls_conjecture_1,plain,
c_in(v_b,v_a,t_a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT273-2.tptp',unknown),
[] ).
cnf(148873040,plain,
c_in(v_b,v_a,t_a),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
fof(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1,plain,
! [A,B,C] :
( ~ c_tarski_oislub(A,v_cl,B,t_a)
| ~ c_in(C,v_a,t_a)
| ~ c_in(c_pair(v_sko__4mi(A,v_r,C),C,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT273-2.tptp',unknown),
[] ).
cnf(148993080,plain,
( ~ c_tarski_oislub(A,v_cl,B,t_a)
| ~ c_in(C,v_a,t_a)
| ~ c_in(c_pair(v_sko__4mi(A,v_r,C),C,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1]),
[] ).
fof(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0,plain,
! [A,B,C] :
( ~ c_tarski_oislub(A,v_cl,B,t_a)
| ~ c_in(C,v_a,t_a)
| c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(A,v_r,C),A,t_a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT273-2.tptp',unknown),
[] ).
cnf(148961584,plain,
( ~ c_tarski_oislub(A,v_cl,B,t_a)
| ~ c_in(C,v_a,t_a)
| c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(A,v_r,C),A,t_a) ),
inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0]),
[] ).
fof(cls_conjecture_6,plain,
~ c_in(c_pair(v_l,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT273-2.tptp',unknown),
[] ).
cnf(149020224,plain,
~ c_in(c_pair(v_l,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_6]),
[] ).
cnf(165068712,plain,
( ~ c_tarski_oislub(A,v_cl,v_l,t_a)
| c_in(v_sko__4mi(A,v_r,v_b),A,t_a) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[148873040,148961584,149020224]),
[] ).
fof(cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0,plain,
! [A,B,C,D,E,F] :
( ~ c_in(A,B,C)
| ~ c_lessequals(B,c_tarski_ointerval(D,E,F,C),tc_set(C))
| c_in(c_pair(A,F,C,C),D,tc_prod(C,C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT273-2.tptp',unknown),
[] ).
cnf(148914112,plain,
( ~ c_in(A,B,C)
| ~ c_lessequals(B,c_tarski_ointerval(D,E,F,C),tc_set(C))
| c_in(c_pair(A,F,C,C),D,tc_prod(C,C)) ),
inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0]),
[] ).
fof(cls_conjecture_2,plain,
c_lessequals(v_s,c_tarski_ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT273-2.tptp',unknown),
[] ).
cnf(149006736,plain,
c_lessequals(v_s,c_tarski_ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
cnf(164992320,plain,
( ~ c_in(A,v_s,t_a)
| c_in(c_pair(A,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[148914112,149006736]),
[] ).
cnf(165466816,plain,
c_in(c_pair(v_sko__4mi(v_s,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[149011792,165068712,164992320]),
[] ).
cnf(165844800,plain,
( ~ c_tarski_oislub(v_s,v_cl,A,t_a)
| c_in(c_pair(A,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[148873040,148993080,165466816]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[149011792,165844800,149020224]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_4,plain,(c_tarski_oislub(v_s,v_cl,v_l,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT273-2.tptp',unknown),[]).
%
% cnf(149011792,plain,(c_tarski_oislub(v_s,v_cl,v_l,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_4]),[]).
%
% fof(cls_conjecture_1,plain,(c_in(v_b,v_a,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT273-2.tptp',unknown),[]).
%
% cnf(148873040,plain,(c_in(v_b,v_a,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% fof(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1,plain,(~c_tarski_oislub(A,v_cl,B,t_a)|~c_in(C,v_a,t_a)|~c_in(c_pair(v_sko__4mi(A,v_r,C),C,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT273-2.tptp',unknown),[]).
%
% cnf(148993080,plain,(~c_tarski_oislub(A,v_cl,B,t_a)|~c_in(C,v_a,t_a)|~c_in(c_pair(v_sko__4mi(A,v_r,C),C,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1]),[]).
%
% fof(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0,plain,(~c_tarski_oislub(A,v_cl,B,t_a)|~c_in(C,v_a,t_a)|c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(A,v_r,C),A,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT273-2.tptp',unknown),[]).
%
% cnf(148961584,plain,(~c_tarski_oislub(A,v_cl,B,t_a)|~c_in(C,v_a,t_a)|c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(A,v_r,C),A,t_a)),inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0]),[]).
%
% fof(cls_conjecture_6,plain,(~c_in(c_pair(v_l,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT273-2.tptp',unknown),[]).
%
% cnf(149020224,plain,(~c_in(c_pair(v_l,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(rewrite,[status(thm)],[cls_conjecture_6]),[]).
%
% cnf(165068712,plain,(~c_tarski_oislub(A,v_cl,v_l,t_a)|c_in(v_sko__4mi(A,v_r,v_b),A,t_a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[148873040,148961584,149020224]),[]).
%
% fof(cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0,plain,(~c_in(A,B,C)|~c_lessequals(B,c_tarski_ointerval(D,E,F,C),tc_set(C))|c_in(c_pair(A,F,C,C),D,tc_prod(C,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT273-2.tptp',unknown),[]).
%
% cnf(148914112,plain,(~c_in(A,B,C)|~c_lessequals(B,c_tarski_ointerval(D,E,F,C),tc_set(C))|c_in(c_pair(A,F,C,C),D,tc_prod(C,C))),inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0]),[]).
%
% fof(cls_conjecture_2,plain,(c_lessequals(v_s,c_tarski_ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT273-2.tptp',unknown),[]).
%
% cnf(149006736,plain,(c_lessequals(v_s,c_tarski_ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% cnf(164992320,plain,(~c_in(A,v_s,t_a)|c_in(c_pair(A,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(resolution,[status(thm)],[148914112,149006736]),[]).
%
% cnf(165466816,plain,(c_in(c_pair(v_sko__4mi(v_s,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(forward_subsumption_resolution__resolution,[status(thm)],[149011792,165068712,164992320]),[]).
%
% cnf(165844800,plain,(~c_tarski_oislub(v_s,v_cl,A,t_a)|c_in(c_pair(A,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(forward_subsumption_resolution__resolution,[status(thm)],[148873040,148993080,165466816]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[149011792,165844800,149020224]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------