TSTP Solution File: SYN166-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN166-1 : 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 17:03:24 EDT 2009
% Result : Unsatisfiable 0.7s
% Output : Refutation 0.7s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 15 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 5 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ p1(a,b,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN166-1.tptp',unknown),
[] ).
cnf(173747744,plain,
~ p1(a,b,b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(axiom_12,plain,
! [A] : m0(a,A,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN166-1.tptp',unknown),
[] ).
cnf(169443696,plain,
m0(a,A,a),
inference(rewrite,[status(thm)],[axiom_12]),
[] ).
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/SYN166-1.tptp',unknown),
[] ).
cnf(170469544,plain,
( p1(A,B,C)
| ~ m0(C,A,D)
| ~ p1(C,A,D) ),
inference(rewrite,[status(thm)],[rule_082]),
[] ).
fof(rule_087,plain,
( p1(a,b,a)
| ~ r0(b)
| ~ p1(a,a,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN166-1.tptp',unknown),
[] ).
fof(rule_075,plain,
( p1(a,a,a)
| ~ p0(b,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN166-1.tptp',unknown),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN166-1.tptp',unknown),
[] ).
cnf(169451296,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(170383944,plain,
p1(a,a,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,169451296]),
[] ).
fof(axiom_9,plain,
r0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN166-1.tptp',unknown),
[] ).
cnf(169423352,plain,
r0(b),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(170522792,plain,
p1(a,b,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_087,170383944,169423352]),
[] ).
cnf(186960904,plain,
p1(b,A,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[169443696,170469544,170522792]),
[] ).
fof(axiom_38,plain,
m0(b,a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN166-1.tptp',unknown),
[] ).
cnf(169565328,plain,
m0(b,a,a),
inference(rewrite,[status(thm)],[axiom_38]),
[] ).
cnf(188843760,plain,
p1(a,A,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[186960904,170469544,169565328]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[173747744,188843760]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~p1(a,b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN166-1.tptp',unknown),[]).
%
% cnf(173747744,plain,(~p1(a,b,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(axiom_12,plain,(m0(a,A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN166-1.tptp',unknown),[]).
%
% cnf(169443696,plain,(m0(a,A,a)),inference(rewrite,[status(thm)],[axiom_12]),[]).
%
% 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/SYN166-1.tptp',unknown),[]).
%
% cnf(170469544,plain,(p1(A,B,C)|~m0(C,A,D)|~p1(C,A,D)),inference(rewrite,[status(thm)],[rule_082]),[]).
%
% fof(rule_087,plain,(p1(a,b,a)|~r0(b)|~p1(a,a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN166-1.tptp',unknown),[]).
%
% fof(rule_075,plain,(p1(a,a,a)|~p0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN166-1.tptp',unknown),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN166-1.tptp',unknown),[]).
%
% cnf(169451296,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(170383944,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,169451296]),[]).
%
% fof(axiom_9,plain,(r0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN166-1.tptp',unknown),[]).
%
% cnf(169423352,plain,(r0(b)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(170522792,plain,(p1(a,b,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_087,170383944,169423352]),[]).
%
% cnf(186960904,plain,(p1(b,A,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[169443696,170469544,170522792]),[]).
%
% fof(axiom_38,plain,(m0(b,a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN166-1.tptp',unknown),[]).
%
% cnf(169565328,plain,(m0(b,a,a)),inference(rewrite,[status(thm)],[axiom_38]),[]).
%
% cnf(188843760,plain,(p1(a,A,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[186960904,170469544,169565328]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[173747744,188843760]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------