TSTP Solution File: SYN099-1.003 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN099-1.003 : TPTP v3.4.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 16:43:17 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 8 ( 1 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(m_t2_5,plain,
p_3_3(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN099-1.003.tptp',unknown),
[] ).
cnf(146971248,plain,
p_3_3(a),
inference(rewrite,[status(thm)],[m_t2_5]),
[] ).
fof(m_s2_type11_5,plain,
! [A] :
( p_2_3(A)
| ~ p_3_3(A)
| ~ p_2_2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN099-1.003.tptp',unknown),
[] ).
cnf(146802864,plain,
( p_2_3(A)
| ~ p_3_3(A)
| ~ p_2_2(A) ),
inference(rewrite,[status(thm)],[m_s2_type11_5]),
[] ).
fof(m_t2_3,plain,
p_2_2(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN099-1.003.tptp',unknown),
[] ).
cnf(146957432,plain,
p_2_2(a),
inference(rewrite,[status(thm)],[m_t2_3]),
[] ).
cnf(155185640,plain,
p_2_3(a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[146971248,146802864,146957432]),
[] ).
fof(m_s2_type11_3,plain,
! [A] :
( p_1_3(A)
| ~ p_2_3(A)
| ~ p_1_2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN099-1.003.tptp',unknown),
[] ).
cnf(146777760,plain,
( p_1_3(A)
| ~ p_2_3(A)
| ~ p_1_2(A) ),
inference(rewrite,[status(thm)],[m_s2_type11_3]),
[] ).
fof(m_s2_type11_1,plain,
! [A] :
( p_1_2(A)
| ~ p_2_2(A)
| ~ p_1_1(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN099-1.003.tptp',unknown),
[] ).
cnf(146756360,plain,
( p_1_2(A)
| ~ p_2_2(A)
| ~ p_1_1(A) ),
inference(rewrite,[status(thm)],[m_s2_type11_1]),
[] ).
fof(m_t2_1,plain,
p_1_1(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN099-1.003.tptp',unknown),
[] ).
cnf(146943424,plain,
p_1_1(a),
inference(rewrite,[status(thm)],[m_t2_1]),
[] ).
cnf(155165216,plain,
p_1_2(a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[146957432,146756360,146943424]),
[] ).
cnf(155215560,plain,
p_1_3(a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[155185640,146777760,155165216]),
[] ).
fof(m_s2_goal_1,plain,
! [A] : ~ p_1_3(A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN099-1.003.tptp',unknown),
[] ).
cnf(146746880,plain,
~ p_1_3(A),
inference(rewrite,[status(thm)],[m_s2_goal_1]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[155215560,146746880]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(m_t2_5,plain,(p_3_3(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN099-1.003.tptp',unknown),[]).
%
% cnf(146971248,plain,(p_3_3(a)),inference(rewrite,[status(thm)],[m_t2_5]),[]).
%
% fof(m_s2_type11_5,plain,(p_2_3(A)|~p_3_3(A)|~p_2_2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN099-1.003.tptp',unknown),[]).
%
% cnf(146802864,plain,(p_2_3(A)|~p_3_3(A)|~p_2_2(A)),inference(rewrite,[status(thm)],[m_s2_type11_5]),[]).
%
% fof(m_t2_3,plain,(p_2_2(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN099-1.003.tptp',unknown),[]).
%
% cnf(146957432,plain,(p_2_2(a)),inference(rewrite,[status(thm)],[m_t2_3]),[]).
%
% cnf(155185640,plain,(p_2_3(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[146971248,146802864,146957432]),[]).
%
% fof(m_s2_type11_3,plain,(p_1_3(A)|~p_2_3(A)|~p_1_2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN099-1.003.tptp',unknown),[]).
%
% cnf(146777760,plain,(p_1_3(A)|~p_2_3(A)|~p_1_2(A)),inference(rewrite,[status(thm)],[m_s2_type11_3]),[]).
%
% fof(m_s2_type11_1,plain,(p_1_2(A)|~p_2_2(A)|~p_1_1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN099-1.003.tptp',unknown),[]).
%
% cnf(146756360,plain,(p_1_2(A)|~p_2_2(A)|~p_1_1(A)),inference(rewrite,[status(thm)],[m_s2_type11_1]),[]).
%
% fof(m_t2_1,plain,(p_1_1(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN099-1.003.tptp',unknown),[]).
%
% cnf(146943424,plain,(p_1_1(a)),inference(rewrite,[status(thm)],[m_t2_1]),[]).
%
% cnf(155165216,plain,(p_1_2(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[146957432,146756360,146943424]),[]).
%
% cnf(155215560,plain,(p_1_3(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[155185640,146777760,155165216]),[]).
%
% fof(m_s2_goal_1,plain,(~p_1_3(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN099-1.003.tptp',unknown),[]).
%
% cnf(146746880,plain,(~p_1_3(A)),inference(rewrite,[status(thm)],[m_s2_goal_1]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[155215560,146746880]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------