TSTP Solution File: SYN093-1.002 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN093-1.002 : TPTP v3.4.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 16:43:04 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 39 ( 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_3_s2_type11_2,plain,
( p_1_2
| ~ u_3 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN093-1.002.tptp',unknown),
[] ).
cnf(155888128,plain,
( p_1_2
| ~ u_3 ),
inference(rewrite,[status(thm)],[u_3_s2_type11_2]),
[] ).
fof(u_s2_goal_1,plain,
( u_1
| ~ p_1_2 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN093-1.002.tptp',unknown),
[] ).
cnf(155840152,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/SYN093-1.002.tptp',unknown),
[] ).
cnf(155845840,plain,
~ u_1,
inference(rewrite,[status(thm)],[u_1_s2_goal_1]),
[] ).
cnf(163993736,plain,
~ p_1_2,
inference(resolution,[status(thm)],[155840152,155845840]),
[] ).
cnf(164009928,plain,
~ u_3,
inference(resolution,[status(thm)],[155888128,163993736]),
[] ).
fof(u_13_t2_4,plain,
( q_2_2
| ~ u_13 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN093-1.002.tptp',unknown),
[] ).
fof(u_t2_4,plain,
( u_13
| q_2_2 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN093-1.002.tptp',unknown),
[] ).
cnf(156055080,plain,
( u_13
| q_2_2 ),
inference(rewrite,[status(thm)],[u_t2_4]),
[] ).
cnf(156059600,plain,
q_2_2,
inference(rewrite__forward_subsumption_resolution,[status(thm)],[u_13_t2_4,156055080]),
[] ).
fof(u_s2_type11_2,plain,
( u_3
| p_1_2
| ~ q_2_2
| ~ q_1_1 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN093-1.002.tptp',unknown),
[] ).
cnf(155878408,plain,
( u_3
| p_1_2
| ~ q_2_2
| ~ q_1_1 ),
inference(rewrite,[status(thm)],[u_s2_type11_2]),
[] ).
fof(u_11_t2_2,plain,
( q_1_1
| ~ u_11 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN093-1.002.tptp',unknown),
[] ).
fof(u_t2_2,plain,
( u_11
| q_1_1 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN093-1.002.tptp',unknown),
[] ).
cnf(156028512,plain,
( u_11
| q_1_1 ),
inference(rewrite,[status(thm)],[u_t2_2]),
[] ).
cnf(156033096,plain,
q_1_1,
inference(rewrite__forward_subsumption_resolution,[status(thm)],[u_11_t2_2,156028512]),
[] ).
cnf(163979968,plain,
( u_3
| p_1_2 ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[156059600,155878408,156033096]),
[] ).
cnf(164021512,plain,
p_1_2,
inference(resolution,[status(thm)],[164009928,163979968]),
[] ).
cnf(164026464,plain,
u_1,
inference(resolution,[status(thm)],[164021512,155840152]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[164026464,155845840]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(u_3_s2_type11_2,plain,(p_1_2|~u_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN093-1.002.tptp',unknown),[]).
%
% cnf(155888128,plain,(p_1_2|~u_3),inference(rewrite,[status(thm)],[u_3_s2_type11_2]),[]).
%
% fof(u_s2_goal_1,plain,(u_1|~p_1_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN093-1.002.tptp',unknown),[]).
%
% cnf(155840152,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/SYN093-1.002.tptp',unknown),[]).
%
% cnf(155845840,plain,(~u_1),inference(rewrite,[status(thm)],[u_1_s2_goal_1]),[]).
%
% cnf(163993736,plain,(~p_1_2),inference(resolution,[status(thm)],[155840152,155845840]),[]).
%
% cnf(164009928,plain,(~u_3),inference(resolution,[status(thm)],[155888128,163993736]),[]).
%
% fof(u_13_t2_4,plain,(q_2_2|~u_13),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN093-1.002.tptp',unknown),[]).
%
% fof(u_t2_4,plain,(u_13|q_2_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN093-1.002.tptp',unknown),[]).
%
% cnf(156055080,plain,(u_13|q_2_2),inference(rewrite,[status(thm)],[u_t2_4]),[]).
%
% cnf(156059600,plain,(q_2_2),inference(rewrite__forward_subsumption_resolution,[status(thm)],[u_13_t2_4,156055080]),[]).
%
% fof(u_s2_type11_2,plain,(u_3|p_1_2|~q_2_2|~q_1_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN093-1.002.tptp',unknown),[]).
%
% cnf(155878408,plain,(u_3|p_1_2|~q_2_2|~q_1_1),inference(rewrite,[status(thm)],[u_s2_type11_2]),[]).
%
% fof(u_11_t2_2,plain,(q_1_1|~u_11),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN093-1.002.tptp',unknown),[]).
%
% fof(u_t2_2,plain,(u_11|q_1_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN093-1.002.tptp',unknown),[]).
%
% cnf(156028512,plain,(u_11|q_1_1),inference(rewrite,[status(thm)],[u_t2_2]),[]).
%
% cnf(156033096,plain,(q_1_1),inference(rewrite__forward_subsumption_resolution,[status(thm)],[u_11_t2_2,156028512]),[]).
%
% cnf(163979968,plain,(u_3|p_1_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[156059600,155878408,156033096]),[]).
%
% cnf(164021512,plain,(p_1_2),inference(resolution,[status(thm)],[164009928,163979968]),[]).
%
% cnf(164026464,plain,(u_1),inference(resolution,[status(thm)],[164021512,155840152]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[164026464,155845840]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------