TSTP Solution File: SYN231-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN231-1 : 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 17:18:34 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 18 ( 5 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN231-1.tptp',unknown),
[] ).
cnf(170999440,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
fof(axiom_7,plain,
n0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN231-1.tptp',unknown),
[] ).
cnf(170838864,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(184922328,plain,
k1(b),
inference(resolution,[status(thm)],[170999440,170838864]),
[] ).
fof(rule_136,plain,
( m2(b)
| ~ k1(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN231-1.tptp',unknown),
[] ).
cnf(172469064,plain,
( m2(b)
| ~ k1(b) ),
inference(rewrite,[status(thm)],[rule_136]),
[] ).
cnf(188382336,plain,
m2(b),
inference(resolution,[status(thm)],[184922328,172469064]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN231-1.tptp',unknown),
[] ).
cnf(172482128,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
fof(rule_072,plain,
! [A,B] :
( p1(A,A,A)
| ~ s0(B)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN231-1.tptp',unknown),
[] ).
cnf(171805736,plain,
( p1(A,A,A)
| ~ s0(B)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_072]),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN231-1.tptp',unknown),
[] ).
cnf(170791128,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(183507072,plain,
p1(d,d,d),
inference(resolution,[status(thm)],[171805736,170791128]),
[] ).
cnf(188457088,plain,
n2(d),
inference(resolution,[status(thm)],[172482128,183507072]),
[] ).
fof(rule_217,plain,
! [A] :
( l3(A,A)
| ~ n2(A)
| ~ m2(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN231-1.tptp',unknown),
[] ).
cnf(173569136,plain,
( l3(A,A)
| ~ n2(A)
| ~ m2(b) ),
inference(rewrite,[status(thm)],[rule_217]),
[] ).
fof(prove_this,plain,
! [A] : ~ l3(d,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN231-1.tptp',unknown),
[] ).
cnf(175175528,plain,
~ l3(d,A),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[188382336,188457088,173569136,175175528]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN231-1.tptp',unknown),[]).
%
% cnf(170999440,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% fof(axiom_7,plain,(n0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN231-1.tptp',unknown),[]).
%
% cnf(170838864,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(184922328,plain,(k1(b)),inference(resolution,[status(thm)],[170999440,170838864]),[]).
%
% fof(rule_136,plain,(m2(b)|~k1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN231-1.tptp',unknown),[]).
%
% cnf(172469064,plain,(m2(b)|~k1(b)),inference(rewrite,[status(thm)],[rule_136]),[]).
%
% cnf(188382336,plain,(m2(b)),inference(resolution,[status(thm)],[184922328,172469064]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN231-1.tptp',unknown),[]).
%
% cnf(172482128,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% fof(rule_072,plain,(p1(A,A,A)|~s0(B)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN231-1.tptp',unknown),[]).
%
% cnf(171805736,plain,(p1(A,A,A)|~s0(B)|~s0(A)),inference(rewrite,[status(thm)],[rule_072]),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN231-1.tptp',unknown),[]).
%
% cnf(170791128,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(183507072,plain,(p1(d,d,d)),inference(resolution,[status(thm)],[171805736,170791128]),[]).
%
% cnf(188457088,plain,(n2(d)),inference(resolution,[status(thm)],[172482128,183507072]),[]).
%
% fof(rule_217,plain,(l3(A,A)|~n2(A)|~m2(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN231-1.tptp',unknown),[]).
%
% cnf(173569136,plain,(l3(A,A)|~n2(A)|~m2(b)),inference(rewrite,[status(thm)],[rule_217]),[]).
%
% fof(prove_this,plain,(~l3(d,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN231-1.tptp',unknown),[]).
%
% cnf(175175528,plain,(~l3(d,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[188382336,188457088,173569136,175175528]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------