TSTP Solution File: SYN266-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN266-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 17:34:47 EDT 2009
% Result : Unsatisfiable 9.8s
% Output : Refutation 9.8s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 38 ( 19 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 46 ( 11 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_251,plain,
! [A,B,C,D] :
( p3(A,B,B)
| ~ m3(B,C,D)
| ~ p2(A,B,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),
[] ).
cnf(163657896,plain,
( p3(A,B,B)
| ~ m3(B,C,D)
| ~ p2(A,B,D) ),
inference(rewrite,[status(thm)],[rule_251]),
[] ).
fof(rule_155,plain,
! [A,B,C] :
( p2(A,B,B)
| ~ k1(C)
| ~ p2(e,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),
[] ).
cnf(162341920,plain,
( p2(A,B,B)
| ~ k1(C)
| ~ p2(e,A,B) ),
inference(rewrite,[status(thm)],[rule_155]),
[] ).
fof(rule_007,plain,
! [A,B,C] :
( m1(A,B,A)
| ~ p0(C,B)
| ~ r0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),
[] ).
cnf(160695416,plain,
( m1(A,B,A)
| ~ p0(C,B)
| ~ r0(A) ),
inference(rewrite,[status(thm)],[rule_007]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),
[] ).
cnf(160491704,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(175025000,plain,
( m1(A,B,A)
| ~ r0(A) ),
inference(resolution,[status(thm)],[160695416,160491704]),
[] ).
fof(axiom_9,plain,
r0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),
[] ).
cnf(160463760,plain,
r0(b),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(175029408,plain,
m1(b,A,b),
inference(resolution,[status(thm)],[175025000,160463760]),
[] ).
fof(rule_176,plain,
! [A,B] :
( p2(A,B,A)
| ~ m1(B,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),
[] ).
cnf(162624640,plain,
( p2(A,B,A)
| ~ m1(B,A,B) ),
inference(rewrite,[status(thm)],[rule_176]),
[] ).
cnf(181501528,plain,
p2(A,b,A),
inference(resolution,[status(thm)],[175029408,162624640]),
[] ).
cnf(191713960,plain,
( p2(b,e,e)
| ~ k1(A) ),
inference(resolution,[status(thm)],[162341920,181501528]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),
[] ).
cnf(160611968,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
fof(axiom_3,plain,
n0(d,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),
[] ).
cnf(160422128,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(174045448,plain,
k1(e),
inference(resolution,[status(thm)],[160611968,160422128]),
[] ).
cnf(191989808,plain,
p2(b,e,e),
inference(resolution,[status(thm)],[191713960,174045448]),
[] ).
cnf(331606096,plain,
( p3(b,e,e)
| ~ m3(e,A,e) ),
inference(resolution,[status(thm)],[163657896,191989808]),
[] ).
fof(rule_236,plain,
! [A] :
( m3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),
[] ).
cnf(163463592,plain,
( m3(A,A,A)
| ~ n2(A) ),
inference(rewrite,[status(thm)],[rule_236]),
[] ).
fof(rule_068,plain,
! [A] :
( p1(A,A,A)
| ~ k0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),
[] ).
cnf(161371440,plain,
( p1(A,A,A)
| ~ k0(A) ),
inference(rewrite,[status(thm)],[rule_068]),
[] ).
fof(axiom_28,plain,
k0(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),
[] ).
cnf(160557264,plain,
k0(e),
inference(rewrite,[status(thm)],[axiom_28]),
[] ).
cnf(173730272,plain,
p1(e,e,e),
inference(resolution,[status(thm)],[161371440,160557264]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),
[] ).
cnf(162094656,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
cnf(179571808,plain,
n2(e),
inference(resolution,[status(thm)],[173730272,162094656]),
[] ).
cnf(179795280,plain,
m3(e,e,e),
inference(resolution,[status(thm)],[163463592,179571808]),
[] ).
cnf(338890904,plain,
p3(b,e,e),
inference(resolution,[status(thm)],[331606096,179795280]),
[] ).
fof(prove_this,plain,
~ p3(b,e,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),
[] ).
cnf(164788080,plain,
~ p3(b,e,e),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[338890904,164788080]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 10 seconds
% START OF PROOF SEQUENCE
% fof(rule_251,plain,(p3(A,B,B)|~m3(B,C,D)|~p2(A,B,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),[]).
%
% cnf(163657896,plain,(p3(A,B,B)|~m3(B,C,D)|~p2(A,B,D)),inference(rewrite,[status(thm)],[rule_251]),[]).
%
% fof(rule_155,plain,(p2(A,B,B)|~k1(C)|~p2(e,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),[]).
%
% cnf(162341920,plain,(p2(A,B,B)|~k1(C)|~p2(e,A,B)),inference(rewrite,[status(thm)],[rule_155]),[]).
%
% fof(rule_007,plain,(m1(A,B,A)|~p0(C,B)|~r0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),[]).
%
% cnf(160695416,plain,(m1(A,B,A)|~p0(C,B)|~r0(A)),inference(rewrite,[status(thm)],[rule_007]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),[]).
%
% cnf(160491704,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(175025000,plain,(m1(A,B,A)|~r0(A)),inference(resolution,[status(thm)],[160695416,160491704]),[]).
%
% fof(axiom_9,plain,(r0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),[]).
%
% cnf(160463760,plain,(r0(b)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(175029408,plain,(m1(b,A,b)),inference(resolution,[status(thm)],[175025000,160463760]),[]).
%
% fof(rule_176,plain,(p2(A,B,A)|~m1(B,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),[]).
%
% cnf(162624640,plain,(p2(A,B,A)|~m1(B,A,B)),inference(rewrite,[status(thm)],[rule_176]),[]).
%
% cnf(181501528,plain,(p2(A,b,A)),inference(resolution,[status(thm)],[175029408,162624640]),[]).
%
% cnf(191713960,plain,(p2(b,e,e)|~k1(A)),inference(resolution,[status(thm)],[162341920,181501528]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),[]).
%
% cnf(160611968,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),[]).
%
% cnf(160422128,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(174045448,plain,(k1(e)),inference(resolution,[status(thm)],[160611968,160422128]),[]).
%
% cnf(191989808,plain,(p2(b,e,e)),inference(resolution,[status(thm)],[191713960,174045448]),[]).
%
% cnf(331606096,plain,(p3(b,e,e)|~m3(e,A,e)),inference(resolution,[status(thm)],[163657896,191989808]),[]).
%
% fof(rule_236,plain,(m3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),[]).
%
% cnf(163463592,plain,(m3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_236]),[]).
%
% fof(rule_068,plain,(p1(A,A,A)|~k0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),[]).
%
% cnf(161371440,plain,(p1(A,A,A)|~k0(A)),inference(rewrite,[status(thm)],[rule_068]),[]).
%
% fof(axiom_28,plain,(k0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),[]).
%
% cnf(160557264,plain,(k0(e)),inference(rewrite,[status(thm)],[axiom_28]),[]).
%
% cnf(173730272,plain,(p1(e,e,e)),inference(resolution,[status(thm)],[161371440,160557264]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),[]).
%
% cnf(162094656,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% cnf(179571808,plain,(n2(e)),inference(resolution,[status(thm)],[173730272,162094656]),[]).
%
% cnf(179795280,plain,(m3(e,e,e)),inference(resolution,[status(thm)],[163463592,179571808]),[]).
%
% cnf(338890904,plain,(p3(b,e,e)),inference(resolution,[status(thm)],[331606096,179795280]),[]).
%
% fof(prove_this,plain,(~p3(b,e,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN266-1.tptp',unknown),[]).
%
% cnf(164788080,plain,(~p3(b,e,e)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[338890904,164788080]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------