TSTP Solution File: SYN177-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN177-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 17:07:44 EDT 2009
% Result : Unsatisfiable 1.5s
% Output : Refutation 1.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 21 ( 5 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_255,plain,
! [A,B,C] :
( q3(A,B)
| ~ q2(C,A,B)
| ~ n0(C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN177-1.tptp',unknown),
[] ).
cnf(182088688,plain,
( q3(A,B)
| ~ q2(C,A,B)
| ~ n0(C,A) ),
inference(rewrite,[status(thm)],[rule_255]),
[] ).
fof(rule_085,plain,
! [A,B] :
( p1(A,A,A)
| ~ p0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN177-1.tptp',unknown),
[] ).
cnf(179932120,plain,
( p1(A,A,A)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_085]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN177-1.tptp',unknown),
[] ).
cnf(178870472,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(192898080,plain,
p1(A,A,A),
inference(resolution,[status(thm)],[179932120,178870472]),
[] ).
fof(rule_177,plain,
! [A,B] :
( q2(A,B,B)
| ~ k0(B)
| ~ p1(A,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN177-1.tptp',unknown),
[] ).
cnf(181011144,plain,
( q2(A,B,B)
| ~ k0(B)
| ~ p1(A,A,A) ),
inference(rewrite,[status(thm)],[rule_177]),
[] ).
fof(axiom_32,plain,
k0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN177-1.tptp',unknown),
[] ).
cnf(178958056,plain,
k0(b),
inference(rewrite,[status(thm)],[axiom_32]),
[] ).
cnf(209752528,plain,
q2(A,b,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[192898080,181011144,178958056]),
[] ).
cnf(216280744,plain,
( q3(b,b)
| ~ n0(A,b) ),
inference(resolution,[status(thm)],[182088688,209752528]),
[] ).
fof(axiom_7,plain,
n0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN177-1.tptp',unknown),
[] ).
cnf(178830160,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(216478456,plain,
q3(b,b),
inference(resolution,[status(thm)],[216280744,178830160]),
[] ).
fof(prove_this,plain,
! [A] : ~ q3(A,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN177-1.tptp',unknown),
[] ).
cnf(183166808,plain,
~ q3(A,b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[216478456,183166808]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_255,plain,(q3(A,B)|~q2(C,A,B)|~n0(C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN177-1.tptp',unknown),[]).
%
% cnf(182088688,plain,(q3(A,B)|~q2(C,A,B)|~n0(C,A)),inference(rewrite,[status(thm)],[rule_255]),[]).
%
% fof(rule_085,plain,(p1(A,A,A)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN177-1.tptp',unknown),[]).
%
% cnf(179932120,plain,(p1(A,A,A)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_085]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN177-1.tptp',unknown),[]).
%
% cnf(178870472,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(192898080,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[179932120,178870472]),[]).
%
% fof(rule_177,plain,(q2(A,B,B)|~k0(B)|~p1(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN177-1.tptp',unknown),[]).
%
% cnf(181011144,plain,(q2(A,B,B)|~k0(B)|~p1(A,A,A)),inference(rewrite,[status(thm)],[rule_177]),[]).
%
% fof(axiom_32,plain,(k0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN177-1.tptp',unknown),[]).
%
% cnf(178958056,plain,(k0(b)),inference(rewrite,[status(thm)],[axiom_32]),[]).
%
% cnf(209752528,plain,(q2(A,b,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[192898080,181011144,178958056]),[]).
%
% cnf(216280744,plain,(q3(b,b)|~n0(A,b)),inference(resolution,[status(thm)],[182088688,209752528]),[]).
%
% fof(axiom_7,plain,(n0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN177-1.tptp',unknown),[]).
%
% cnf(178830160,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(216478456,plain,(q3(b,b)),inference(resolution,[status(thm)],[216280744,178830160]),[]).
%
% fof(prove_this,plain,(~q3(A,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN177-1.tptp',unknown),[]).
%
% cnf(183166808,plain,(~q3(A,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[216478456,183166808]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------