TSTP Solution File: LAT271-2 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LAT271-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 13:36:49 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 13 ( 1 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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_Ia1_M_Ax1_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(E,A,C,C),D,tc_prod(C,C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT271-2.tptp',unknown),
[] ).
cnf(169426592,plain,
( ~ c_in(A,B,C)
| ~ c_lessequals(B,c_tarski_ointerval(D,E,F,C),tc_set(C))
| c_in(c_pair(E,A,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_Ia1_M_Ax1_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/LAT271-2.tptp',unknown),
[] ).
cnf(169368760,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(182551872,plain,
( ~ c_in(A,v_s,t_a)
| c_in(c_pair(v_a,A,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[169426592,169368760]),
[] ).
fof(cls_conjecture_6,plain,
c_in(v_x,v_s,t_a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT271-2.tptp',unknown),
[] ).
cnf(169373784,plain,
c_in(v_x,v_s,t_a),
inference(rewrite,[status(thm)],[cls_conjecture_6]),
[] ).
cnf(182560928,plain,
c_in(c_pair(v_a,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[182551872,169373784]),
[] ).
fof(cls_conjecture_7,plain,
~ c_in(c_pair(v_a,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT271-2.tptp',unknown),
[] ).
cnf(169378808,plain,
~ c_in(c_pair(v_a,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_7]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[182560928,169378808]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% 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_Ia1_M_Ax1_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(E,A,C,C),D,tc_prod(C,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT271-2.tptp',unknown),[]).
%
% cnf(169426592,plain,(~c_in(A,B,C)|~c_lessequals(B,c_tarski_ointerval(D,E,F,C),tc_set(C))|c_in(c_pair(E,A,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_Ia1_M_Ax1_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/LAT271-2.tptp',unknown),[]).
%
% cnf(169368760,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(182551872,plain,(~c_in(A,v_s,t_a)|c_in(c_pair(v_a,A,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(resolution,[status(thm)],[169426592,169368760]),[]).
%
% fof(cls_conjecture_6,plain,(c_in(v_x,v_s,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT271-2.tptp',unknown),[]).
%
% cnf(169373784,plain,(c_in(v_x,v_s,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_6]),[]).
%
% cnf(182560928,plain,(c_in(c_pair(v_a,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(resolution,[status(thm)],[182551872,169373784]),[]).
%
% fof(cls_conjecture_7,plain,(~c_in(c_pair(v_a,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT271-2.tptp',unknown),[]).
%
% cnf(169378808,plain,(~c_in(c_pair(v_a,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(rewrite,[status(thm)],[cls_conjecture_7]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[182560928,169378808]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------