TSTP Solution File: ANA042-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : ANA042-2 : 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 11:25:06 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 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 : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_1,plain,
! [A,B] : c_lessequals(c_hol_oabs(v_f(A,B),t_c),c_times(v_x,v_h(A,B),t_c),t_c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA042-2.tptp',unknown),
[] ).
cnf(172793232,plain,
c_lessequals(c_hol_oabs(v_f(A,B),t_c),c_times(v_x,v_h(A,B),t_c),t_c),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
fof(cls_conjecture_3,plain,
! [A] : ~ c_lessequals(c_hol_oabs(v_f(v_xa(A),v_xb(A)),t_c),c_times(A,v_h(v_xa(A),v_xb(A)),t_c),t_c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA042-2.tptp',unknown),
[] ).
cnf(172798456,plain,
~ c_lessequals(c_hol_oabs(v_f(v_xa(A),v_xb(A)),t_c),c_times(A,v_h(v_xa(A),v_xb(A)),t_c),t_c),
inference(rewrite,[status(thm)],[cls_conjecture_3]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[172793232,172798456]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_1,plain,(c_lessequals(c_hol_oabs(v_f(A,B),t_c),c_times(v_x,v_h(A,B),t_c),t_c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA042-2.tptp',unknown),[]).
%
% cnf(172793232,plain,(c_lessequals(c_hol_oabs(v_f(A,B),t_c),c_times(v_x,v_h(A,B),t_c),t_c)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% fof(cls_conjecture_3,plain,(~c_lessequals(c_hol_oabs(v_f(v_xa(A),v_xb(A)),t_c),c_times(A,v_h(v_xa(A),v_xb(A)),t_c),t_c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA042-2.tptp',unknown),[]).
%
% cnf(172798456,plain,(~c_lessequals(c_hol_oabs(v_f(v_xa(A),v_xb(A)),t_c),c_times(A,v_h(v_xa(A),v_xb(A)),t_c),t_c)),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[172793232,172798456]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------