TSTP Solution File: SYN097-1.002 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN097-1.002 : 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 16:43:13 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 14 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 8 ( 7 usr; 8 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(u_s2_goal_1,plain,
( u_1
| ~ p_1_2 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN097-1.002.tptp',unknown),
[] ).
cnf(159383760,plain,
( u_1
| ~ p_1_2 ),
inference(rewrite,[status(thm)],[u_s2_goal_1]),
[] ).
fof(u_1_s2_goal_1,plain,
~ u_1,
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN097-1.002.tptp',unknown),
[] ).
cnf(159390664,plain,
~ u_1,
inference(rewrite,[status(thm)],[u_1_s2_goal_1]),
[] ).
cnf(168122272,plain,
~ p_1_2,
inference(resolution,[status(thm)],[159383760,159390664]),
[] ).
fof(u_12_t2_3,plain,
( p_2_2
| ~ u_12 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN097-1.002.tptp',unknown),
[] ).
fof(u_t2_3,plain,
( u_12
| p_2_2 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN097-1.002.tptp',unknown),
[] ).
cnf(159634504,plain,
( u_12
| p_2_2 ),
inference(rewrite,[status(thm)],[u_t2_3]),
[] ).
cnf(159643752,plain,
p_2_2,
inference(rewrite__forward_subsumption_resolution,[status(thm)],[u_12_t2_3,159634504]),
[] ).
fof(u_s2_type11_1,plain,
( u_2
| p_1_2
| ~ p_2_2
| ~ p_1_1 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN097-1.002.tptp',unknown),
[] ).
cnf(159406632,plain,
( u_2
| p_1_2
| ~ p_2_2
| ~ p_1_1 ),
inference(rewrite,[status(thm)],[u_s2_type11_1]),
[] ).
fof(u_10_t2_1,plain,
( p_1_1
| ~ u_10 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN097-1.002.tptp',unknown),
[] ).
fof(u_t2_1,plain,
( u_10
| p_1_1 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN097-1.002.tptp',unknown),
[] ).
cnf(159378992,plain,
( u_10
| p_1_1 ),
inference(rewrite,[status(thm)],[u_t2_1]),
[] ).
cnf(159610600,plain,
p_1_1,
inference(rewrite__forward_subsumption_resolution,[status(thm)],[u_10_t2_1,159378992]),
[] ).
cnf(168048392,plain,
( u_2
| p_1_2 ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[159643752,159406632,159610600]),
[] ).
fof(u_2_s2_type11_1,plain,
( p_1_2
| ~ u_2 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN097-1.002.tptp',unknown),
[] ).
cnf(159419288,plain,
( p_1_2
| ~ u_2 ),
inference(rewrite,[status(thm)],[u_2_s2_type11_1]),
[] ).
cnf(168132904,plain,
~ u_2,
inference(resolution,[status(thm)],[159419288,168122272]),
[] ).
cnf(168149968,plain,
p_1_2,
inference(resolution,[status(thm)],[168048392,168132904]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[168122272,168149968]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(u_s2_goal_1,plain,(u_1|~p_1_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN097-1.002.tptp',unknown),[]).
%
% cnf(159383760,plain,(u_1|~p_1_2),inference(rewrite,[status(thm)],[u_s2_goal_1]),[]).
%
% fof(u_1_s2_goal_1,plain,(~u_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN097-1.002.tptp',unknown),[]).
%
% cnf(159390664,plain,(~u_1),inference(rewrite,[status(thm)],[u_1_s2_goal_1]),[]).
%
% cnf(168122272,plain,(~p_1_2),inference(resolution,[status(thm)],[159383760,159390664]),[]).
%
% fof(u_12_t2_3,plain,(p_2_2|~u_12),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN097-1.002.tptp',unknown),[]).
%
% fof(u_t2_3,plain,(u_12|p_2_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN097-1.002.tptp',unknown),[]).
%
% cnf(159634504,plain,(u_12|p_2_2),inference(rewrite,[status(thm)],[u_t2_3]),[]).
%
% cnf(159643752,plain,(p_2_2),inference(rewrite__forward_subsumption_resolution,[status(thm)],[u_12_t2_3,159634504]),[]).
%
% fof(u_s2_type11_1,plain,(u_2|p_1_2|~p_2_2|~p_1_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN097-1.002.tptp',unknown),[]).
%
% cnf(159406632,plain,(u_2|p_1_2|~p_2_2|~p_1_1),inference(rewrite,[status(thm)],[u_s2_type11_1]),[]).
%
% fof(u_10_t2_1,plain,(p_1_1|~u_10),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN097-1.002.tptp',unknown),[]).
%
% fof(u_t2_1,plain,(u_10|p_1_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN097-1.002.tptp',unknown),[]).
%
% cnf(159378992,plain,(u_10|p_1_1),inference(rewrite,[status(thm)],[u_t2_1]),[]).
%
% cnf(159610600,plain,(p_1_1),inference(rewrite__forward_subsumption_resolution,[status(thm)],[u_10_t2_1,159378992]),[]).
%
% cnf(168048392,plain,(u_2|p_1_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[159643752,159406632,159610600]),[]).
%
% fof(u_2_s2_type11_1,plain,(p_1_2|~u_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN097-1.002.tptp',unknown),[]).
%
% cnf(159419288,plain,(p_1_2|~u_2),inference(rewrite,[status(thm)],[u_2_s2_type11_1]),[]).
%
% cnf(168132904,plain,(~u_2),inference(resolution,[status(thm)],[159419288,168122272]),[]).
%
% cnf(168149968,plain,(p_1_2),inference(resolution,[status(thm)],[168048392,168132904]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[168122272,168149968]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------