TSTP Solution File: SYN285-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN285-1 : TPTP v3.4.2. Released v1.1.0.
% 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 17:43:04 EDT 2009
% Result : Unsatisfiable 3.0s
% Output : Refutation 3.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 13 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 15 ( 1 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ q1(a,d,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN285-1.tptp',unknown),
[] ).
cnf(151151408,plain,
~ q1(a,d,d),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(axiom_32,plain,
k0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN285-1.tptp',unknown),
[] ).
cnf(148907328,plain,
k0(b),
inference(rewrite,[status(thm)],[axiom_32]),
[] ).
fof(rule_099,plain,
! [A,B,C] :
( q1(A,B,B)
| ~ k0(C)
| ~ l0(A)
| ~ q1(B,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN285-1.tptp',unknown),
[] ).
cnf(150016088,plain,
( q1(A,B,B)
| ~ k0(C)
| ~ l0(A)
| ~ q1(B,B,C) ),
inference(rewrite,[status(thm)],[rule_099]),
[] ).
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN285-1.tptp',unknown),
[] ).
cnf(148846872,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(162080680,plain,
( q1(a,A,A)
| ~ k0(B)
| ~ q1(A,A,B) ),
inference(resolution,[status(thm)],[150016088,148846872]),
[] ).
fof(rule_105,plain,
! [A,B] :
( q1(A,A,B)
| ~ s0(A)
| ~ p0(B,d) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN285-1.tptp',unknown),
[] ).
cnf(150090536,plain,
( q1(A,A,B)
| ~ s0(A)
| ~ p0(B,d) ),
inference(rewrite,[status(thm)],[rule_105]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN285-1.tptp',unknown),
[] ).
cnf(148819744,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(171233832,plain,
( q1(A,A,b)
| ~ s0(A) ),
inference(resolution,[status(thm)],[150090536,148819744]),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN285-1.tptp',unknown),
[] ).
cnf(148731696,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(171256720,plain,
q1(d,d,b),
inference(resolution,[status(thm)],[171233832,148731696]),
[] ).
cnf(214507728,plain,
q1(a,d,d),
inference(forward_subsumption_resolution__resolution,[status(thm)],[148907328,162080680,171256720]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[151151408,214507728]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 3 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~q1(a,d,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN285-1.tptp',unknown),[]).
%
% cnf(151151408,plain,(~q1(a,d,d)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(axiom_32,plain,(k0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN285-1.tptp',unknown),[]).
%
% cnf(148907328,plain,(k0(b)),inference(rewrite,[status(thm)],[axiom_32]),[]).
%
% fof(rule_099,plain,(q1(A,B,B)|~k0(C)|~l0(A)|~q1(B,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN285-1.tptp',unknown),[]).
%
% cnf(150016088,plain,(q1(A,B,B)|~k0(C)|~l0(A)|~q1(B,B,C)),inference(rewrite,[status(thm)],[rule_099]),[]).
%
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN285-1.tptp',unknown),[]).
%
% cnf(148846872,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(162080680,plain,(q1(a,A,A)|~k0(B)|~q1(A,A,B)),inference(resolution,[status(thm)],[150016088,148846872]),[]).
%
% fof(rule_105,plain,(q1(A,A,B)|~s0(A)|~p0(B,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN285-1.tptp',unknown),[]).
%
% cnf(150090536,plain,(q1(A,A,B)|~s0(A)|~p0(B,d)),inference(rewrite,[status(thm)],[rule_105]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN285-1.tptp',unknown),[]).
%
% cnf(148819744,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(171233832,plain,(q1(A,A,b)|~s0(A)),inference(resolution,[status(thm)],[150090536,148819744]),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN285-1.tptp',unknown),[]).
%
% cnf(148731696,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(171256720,plain,(q1(d,d,b)),inference(resolution,[status(thm)],[171233832,148731696]),[]).
%
% cnf(214507728,plain,(q1(a,d,d)),inference(forward_subsumption_resolution__resolution,[status(thm)],[148907328,162080680,171256720]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[151151408,214507728]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------