TSTP Solution File: SYN264-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN264-1 : 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 17:33:49 EDT 2009
% Result : Unsatisfiable 0.7s
% Output : Refutation 0.7s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 13 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 15 ( 4 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_071,plain,
! [A,B,C,D] :
( p1(A,B,A)
| ~ l0(C)
| ~ p1(B,D,A)
| ~ s0(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN264-1.tptp',unknown),
[] ).
fof(axiom_5,plain,
s0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN264-1.tptp',unknown),
[] ).
cnf(162587752,plain,
s0(b),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(163549424,plain,
( p1(A,B,A)
| ~ l0(C)
| ~ p1(B,D,A) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_071,162587752]),
[] ).
fof(rule_063,plain,
! [A,B] :
( p1(A,A,B)
| ~ n0(d,A)
| ~ k0(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN264-1.tptp',unknown),
[] ).
cnf(163447856,plain,
( p1(A,A,B)
| ~ n0(d,A)
| ~ k0(B) ),
inference(rewrite,[status(thm)],[rule_063]),
[] ).
fof(axiom_26,plain,
n0(d,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN264-1.tptp',unknown),
[] ).
cnf(162688808,plain,
n0(d,c),
inference(rewrite,[status(thm)],[axiom_26]),
[] ).
cnf(183091992,plain,
( p1(c,c,A)
| ~ k0(A) ),
inference(resolution,[status(thm)],[163447856,162688808]),
[] ).
fof(axiom_28,plain,
k0(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN264-1.tptp',unknown),
[] ).
cnf(162701112,plain,
k0(e),
inference(rewrite,[status(thm)],[axiom_28]),
[] ).
cnf(183221904,plain,
p1(c,c,e),
inference(resolution,[status(thm)],[183091992,162701112]),
[] ).
cnf(189072944,plain,
( p1(e,c,e)
| ~ l0(A) ),
inference(resolution,[status(thm)],[163549424,183221904]),
[] ).
fof(prove_this,plain,
~ p1(e,c,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN264-1.tptp',unknown),
[] ).
cnf(166931928,plain,
~ p1(e,c,e),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(189365400,plain,
~ l0(A),
inference(resolution,[status(thm)],[189072944,166931928]),
[] ).
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN264-1.tptp',unknown),
[] ).
cnf(162662680,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[189365400,162662680]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_071,plain,(p1(A,B,A)|~l0(C)|~p1(B,D,A)|~s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN264-1.tptp',unknown),[]).
%
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN264-1.tptp',unknown),[]).
%
% cnf(162587752,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(163549424,plain,(p1(A,B,A)|~l0(C)|~p1(B,D,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_071,162587752]),[]).
%
% fof(rule_063,plain,(p1(A,A,B)|~n0(d,A)|~k0(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN264-1.tptp',unknown),[]).
%
% cnf(163447856,plain,(p1(A,A,B)|~n0(d,A)|~k0(B)),inference(rewrite,[status(thm)],[rule_063]),[]).
%
% fof(axiom_26,plain,(n0(d,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN264-1.tptp',unknown),[]).
%
% cnf(162688808,plain,(n0(d,c)),inference(rewrite,[status(thm)],[axiom_26]),[]).
%
% cnf(183091992,plain,(p1(c,c,A)|~k0(A)),inference(resolution,[status(thm)],[163447856,162688808]),[]).
%
% fof(axiom_28,plain,(k0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN264-1.tptp',unknown),[]).
%
% cnf(162701112,plain,(k0(e)),inference(rewrite,[status(thm)],[axiom_28]),[]).
%
% cnf(183221904,plain,(p1(c,c,e)),inference(resolution,[status(thm)],[183091992,162701112]),[]).
%
% cnf(189072944,plain,(p1(e,c,e)|~l0(A)),inference(resolution,[status(thm)],[163549424,183221904]),[]).
%
% fof(prove_this,plain,(~p1(e,c,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN264-1.tptp',unknown),[]).
%
% cnf(166931928,plain,(~p1(e,c,e)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(189365400,plain,(~l0(A)),inference(resolution,[status(thm)],[189072944,166931928]),[]).
%
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN264-1.tptp',unknown),[]).
%
% cnf(162662680,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[189365400,162662680]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------