TSTP Solution File: ANA013-1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : ANA013-1 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 11:24:06 EDT 2009
% Result : Unsatisfiable 39.4s
% Output : Refutation 39.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 22 ( 1 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_0,plain,
! [A] : ~ c_lessequals(c_times(c_hol_oabs(v_c,t_b),c_hol_oabs(v_f(v_x(A)),t_b),t_b),c_times(A,c_hol_oabs(v_f(v_x(A)),t_b),t_b),t_b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-1.tptp',unknown),
[] ).
cnf(270108400,plain,
~ c_lessequals(c_times(c_hol_oabs(v_c,t_b),c_hol_oabs(v_f(v_x(A)),t_b),t_b),c_times(A,c_hol_oabs(v_f(v_x(A)),t_b),t_b),t_b),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
fof(cls_SetInterval_OgreaterThan__subset__iff_0,plain,
! [A,B,C] :
( ~ class_orderings_olinorder(A)
| ~ c_lessequals(c_setinterval_ogreaterthan(B,A),c_setinterval_ogreaterthan(C,A),tc_set(A))
| c_lessequals(C,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-1.tptp',unknown),
[] ).
cnf(236062872,plain,
( ~ class_orderings_olinorder(A)
| ~ c_lessequals(c_setinterval_ogreaterthan(B,A),c_setinterval_ogreaterthan(C,A),tc_set(A))
| c_lessequals(C,B,A) ),
inference(rewrite,[status(thm)],[cls_SetInterval_OgreaterThan__subset__iff_0]),
[] ).
fof(clsrel_Ring__and__Field_Oordered__ring__strict_17,plain,
! [A] :
( ~ class_ring__and__field_oordered__ring__strict(A)
| class_orderings_olinorder(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-1.tptp',unknown),
[] ).
cnf(261393128,plain,
( ~ class_ring__and__field_oordered__ring__strict(A)
| class_orderings_olinorder(A) ),
inference(rewrite,[status(thm)],[clsrel_Ring__and__Field_Oordered__ring__strict_17]),
[] ).
cnf(314350608,plain,
( ~ c_lessequals(c_setinterval_ogreaterthan(B,A),c_setinterval_ogreaterthan(C,A),tc_set(A))
| c_lessequals(C,B,A)
| ~ class_ring__and__field_oordered__ring__strict(A) ),
inference(resolution,[status(thm)],[236062872,261393128]),
[] ).
fof(cls_Set_Osubset__refl_0,plain,
! [A,B] : c_lessequals(A,A,tc_set(B)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-1.tptp',unknown),
[] ).
cnf(240603440,plain,
c_lessequals(A,A,tc_set(B)),
inference(rewrite,[status(thm)],[cls_Set_Osubset__refl_0]),
[] ).
cnf(404059792,plain,
( c_lessequals(B,B,A)
| ~ class_ring__and__field_oordered__ring__strict(A) ),
inference(resolution,[status(thm)],[314350608,240603440]),
[] ).
fof(tfree_tcs,plain,
class_ring__and__field_oordered__idom(t_b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-1.tptp',unknown),
[] ).
cnf(270131920,plain,
class_ring__and__field_oordered__idom(t_b),
inference(rewrite,[status(thm)],[tfree_tcs]),
[] ).
fof(clsrel_Ring__and__Field_Oordered__idom_47,plain,
! [A] :
( ~ class_ring__and__field_oordered__idom(A)
| class_ring__and__field_oordered__ring__strict(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-1.tptp',unknown),
[] ).
cnf(260658264,plain,
( ~ class_ring__and__field_oordered__idom(A)
| class_ring__and__field_oordered__ring__strict(A) ),
inference(rewrite,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_47]),
[] ).
cnf(302301736,plain,
class_ring__and__field_oordered__ring__strict(t_b),
inference(resolution,[status(thm)],[270131920,260658264]),
[] ).
cnf(451299800,plain,
c_lessequals(A,A,t_b),
inference(resolution,[status(thm)],[404059792,302301736]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[270108400,451299800]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 38 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_0,plain,(~c_lessequals(c_times(c_hol_oabs(v_c,t_b),c_hol_oabs(v_f(v_x(A)),t_b),t_b),c_times(A,c_hol_oabs(v_f(v_x(A)),t_b),t_b),t_b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-1.tptp',unknown),[]).
%
% cnf(270108400,plain,(~c_lessequals(c_times(c_hol_oabs(v_c,t_b),c_hol_oabs(v_f(v_x(A)),t_b),t_b),c_times(A,c_hol_oabs(v_f(v_x(A)),t_b),t_b),t_b)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% fof(cls_SetInterval_OgreaterThan__subset__iff_0,plain,(~class_orderings_olinorder(A)|~c_lessequals(c_setinterval_ogreaterthan(B,A),c_setinterval_ogreaterthan(C,A),tc_set(A))|c_lessequals(C,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-1.tptp',unknown),[]).
%
% cnf(236062872,plain,(~class_orderings_olinorder(A)|~c_lessequals(c_setinterval_ogreaterthan(B,A),c_setinterval_ogreaterthan(C,A),tc_set(A))|c_lessequals(C,B,A)),inference(rewrite,[status(thm)],[cls_SetInterval_OgreaterThan__subset__iff_0]),[]).
%
% fof(clsrel_Ring__and__Field_Oordered__ring__strict_17,plain,(~class_ring__and__field_oordered__ring__strict(A)|class_orderings_olinorder(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-1.tptp',unknown),[]).
%
% cnf(261393128,plain,(~class_ring__and__field_oordered__ring__strict(A)|class_orderings_olinorder(A)),inference(rewrite,[status(thm)],[clsrel_Ring__and__Field_Oordered__ring__strict_17]),[]).
%
% cnf(314350608,plain,(~c_lessequals(c_setinterval_ogreaterthan(B,A),c_setinterval_ogreaterthan(C,A),tc_set(A))|c_lessequals(C,B,A)|~class_ring__and__field_oordered__ring__strict(A)),inference(resolution,[status(thm)],[236062872,261393128]),[]).
%
% fof(cls_Set_Osubset__refl_0,plain,(c_lessequals(A,A,tc_set(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-1.tptp',unknown),[]).
%
% cnf(240603440,plain,(c_lessequals(A,A,tc_set(B))),inference(rewrite,[status(thm)],[cls_Set_Osubset__refl_0]),[]).
%
% cnf(404059792,plain,(c_lessequals(B,B,A)|~class_ring__and__field_oordered__ring__strict(A)),inference(resolution,[status(thm)],[314350608,240603440]),[]).
%
% fof(tfree_tcs,plain,(class_ring__and__field_oordered__idom(t_b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-1.tptp',unknown),[]).
%
% cnf(270131920,plain,(class_ring__and__field_oordered__idom(t_b)),inference(rewrite,[status(thm)],[tfree_tcs]),[]).
%
% fof(clsrel_Ring__and__Field_Oordered__idom_47,plain,(~class_ring__and__field_oordered__idom(A)|class_ring__and__field_oordered__ring__strict(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-1.tptp',unknown),[]).
%
% cnf(260658264,plain,(~class_ring__and__field_oordered__idom(A)|class_ring__and__field_oordered__ring__strict(A)),inference(rewrite,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_47]),[]).
%
% cnf(302301736,plain,(class_ring__and__field_oordered__ring__strict(t_b)),inference(resolution,[status(thm)],[270131920,260658264]),[]).
%
% cnf(451299800,plain,(c_lessequals(A,A,t_b)),inference(resolution,[status(thm)],[404059792,302301736]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[270108400,451299800]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------