TSTP Solution File: LAT270-2 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LAT270-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 13:36:46 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 13 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 9 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/LAT270-2.tptp',unknown),
[] ).
cnf(151267376,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]),
[] ).
fof(cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0,plain,
! [A,B,C] :
( ~ c_in(A,v_a,t_a)
| ~ c_in(B,v_a,t_a)
| ~ c_lessequals(C,c_tarski_ointerval(v_r,B,A,t_a),tc_set(t_a))
| c_lessequals(C,v_a,tc_set(t_a)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT270-2.tptp',unknown),
[] ).
cnf(151308536,plain,
( ~ c_in(A,v_a,t_a)
| ~ c_in(B,v_a,t_a)
| ~ c_lessequals(C,c_tarski_ointerval(v_r,B,A,t_a),tc_set(t_a))
| c_lessequals(C,v_a,tc_set(t_a)) ),
inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0]),
[] ).
fof(cls_conjecture_6,plain,
~ c_lessequals(v_s,v_a,tc_set(t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT270-2.tptp',unknown),
[] ).
cnf(151272320,plain,
~ c_lessequals(v_s,v_a,tc_set(t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_6]),
[] ).
cnf(167109552,plain,
( ~ c_in(A,v_a,t_a)
| ~ c_in(B,v_a,t_a)
| ~ c_lessequals(v_s,c_tarski_ointerval(v_r,B,A,t_a),tc_set(t_a)) ),
inference(resolution,[status(thm)],[151308536,151272320]),
[] ).
fof(cls_conjecture_0,plain,
c_in(v_a,v_a,t_a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT270-2.tptp',unknown),
[] ).
cnf(151258656,plain,
c_in(v_a,v_a,t_a),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(167173184,plain,
( ~ c_in(A,v_a,t_a)
| ~ c_lessequals(v_s,c_tarski_ointerval(v_r,v_a,A,t_a),tc_set(t_a)) ),
inference(resolution,[status(thm)],[167109552,151258656]),
[] ).
fof(cls_conjecture_1,plain,
c_in(v_b,v_a,t_a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT270-2.tptp',unknown),
[] ).
cnf(151262760,plain,
c_in(v_b,v_a,t_a),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[151267376,167173184,151262760]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% 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/LAT270-2.tptp',unknown),[]).
%
% cnf(151267376,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]),[]).
%
% fof(cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0,plain,(~c_in(A,v_a,t_a)|~c_in(B,v_a,t_a)|~c_lessequals(C,c_tarski_ointerval(v_r,B,A,t_a),tc_set(t_a))|c_lessequals(C,v_a,tc_set(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT270-2.tptp',unknown),[]).
%
% cnf(151308536,plain,(~c_in(A,v_a,t_a)|~c_in(B,v_a,t_a)|~c_lessequals(C,c_tarski_ointerval(v_r,B,A,t_a),tc_set(t_a))|c_lessequals(C,v_a,tc_set(t_a))),inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0]),[]).
%
% fof(cls_conjecture_6,plain,(~c_lessequals(v_s,v_a,tc_set(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT270-2.tptp',unknown),[]).
%
% cnf(151272320,plain,(~c_lessequals(v_s,v_a,tc_set(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_6]),[]).
%
% cnf(167109552,plain,(~c_in(A,v_a,t_a)|~c_in(B,v_a,t_a)|~c_lessequals(v_s,c_tarski_ointerval(v_r,B,A,t_a),tc_set(t_a))),inference(resolution,[status(thm)],[151308536,151272320]),[]).
%
% fof(cls_conjecture_0,plain,(c_in(v_a,v_a,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT270-2.tptp',unknown),[]).
%
% cnf(151258656,plain,(c_in(v_a,v_a,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(167173184,plain,(~c_in(A,v_a,t_a)|~c_lessequals(v_s,c_tarski_ointerval(v_r,v_a,A,t_a),tc_set(t_a))),inference(resolution,[status(thm)],[167109552,151258656]),[]).
%
% fof(cls_conjecture_1,plain,(c_in(v_b,v_a,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT270-2.tptp',unknown),[]).
%
% cnf(151262760,plain,(c_in(v_b,v_a,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[151267376,167173184,151262760]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------