TSTP Solution File: SYN167-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN167-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 17:03:28 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 16 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 24 ( 11 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
! [A] : ~ p1(d,A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN167-1.tptp',unknown),
[] ).
cnf(157689840,plain,
~ p1(d,A,d),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_082,plain,
! [A,B,C,D] :
( p1(A,B,C)
| ~ m0(C,A,D)
| ~ p1(C,A,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN167-1.tptp',unknown),
[] ).
cnf(154413264,plain,
( p1(A,B,C)
| ~ m0(C,A,D)
| ~ p1(C,A,D) ),
inference(rewrite,[status(thm)],[rule_082]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN167-1.tptp',unknown),
[] ).
cnf(153417784,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(170485552,plain,
( p1(d,A,B)
| ~ p1(B,d,C) ),
inference(resolution,[status(thm)],[154413264,153417784]),
[] ).
fof(axiom_12,plain,
! [A] : m0(a,A,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN167-1.tptp',unknown),
[] ).
cnf(153387416,plain,
m0(a,A,a),
inference(rewrite,[status(thm)],[axiom_12]),
[] ).
fof(rule_087,plain,
( p1(a,b,a)
| ~ r0(b)
| ~ p1(a,a,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN167-1.tptp',unknown),
[] ).
fof(rule_075,plain,
( p1(a,a,a)
| ~ p0(b,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN167-1.tptp',unknown),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN167-1.tptp',unknown),
[] ).
cnf(153395016,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(154327664,plain,
p1(a,a,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,153395016]),
[] ).
fof(axiom_9,plain,
r0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN167-1.tptp',unknown),
[] ).
cnf(153367072,plain,
r0(b),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(154466512,plain,
p1(a,b,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_087,154327664,153367072]),
[] ).
cnf(171119304,plain,
p1(b,A,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[153387416,154413264,154466512]),
[] ).
cnf(171309808,plain,
p1(d,A,b),
inference(resolution,[status(thm)],[170485552,171119304]),
[] ).
cnf(171471336,plain,
p1(d,A,d),
inference(resolution,[status(thm)],[170485552,171309808]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[157689840,171471336]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~p1(d,A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN167-1.tptp',unknown),[]).
%
% cnf(157689840,plain,(~p1(d,A,d)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_082,plain,(p1(A,B,C)|~m0(C,A,D)|~p1(C,A,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN167-1.tptp',unknown),[]).
%
% cnf(154413264,plain,(p1(A,B,C)|~m0(C,A,D)|~p1(C,A,D)),inference(rewrite,[status(thm)],[rule_082]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN167-1.tptp',unknown),[]).
%
% cnf(153417784,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(170485552,plain,(p1(d,A,B)|~p1(B,d,C)),inference(resolution,[status(thm)],[154413264,153417784]),[]).
%
% fof(axiom_12,plain,(m0(a,A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN167-1.tptp',unknown),[]).
%
% cnf(153387416,plain,(m0(a,A,a)),inference(rewrite,[status(thm)],[axiom_12]),[]).
%
% fof(rule_087,plain,(p1(a,b,a)|~r0(b)|~p1(a,a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN167-1.tptp',unknown),[]).
%
% fof(rule_075,plain,(p1(a,a,a)|~p0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN167-1.tptp',unknown),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN167-1.tptp',unknown),[]).
%
% cnf(153395016,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(154327664,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,153395016]),[]).
%
% fof(axiom_9,plain,(r0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN167-1.tptp',unknown),[]).
%
% cnf(153367072,plain,(r0(b)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(154466512,plain,(p1(a,b,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_087,154327664,153367072]),[]).
%
% cnf(171119304,plain,(p1(b,A,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[153387416,154413264,154466512]),[]).
%
% cnf(171309808,plain,(p1(d,A,b)),inference(resolution,[status(thm)],[170485552,171119304]),[]).
%
% cnf(171471336,plain,(p1(d,A,d)),inference(resolution,[status(thm)],[170485552,171309808]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[157689840,171471336]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------