%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN263-1 : 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 17:33:45 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 18 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 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 : 23 ( 11 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ p1(d,d,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN263-1.tptp',unknown),
[] ).
cnf(163520032,plain,
~ p1(d,d,a),
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/SYN263-1.tptp',unknown),
[] ).
cnf(160241832,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/SYN263-1.tptp',unknown),
[] ).
cnf(159246352,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(176372752,plain,
( p1(d,A,B)
| ~ p1(B,d,C) ),
inference(resolution,[status(thm)],[160241832,159246352]),
[] ).
fof(axiom_38,plain,
m0(b,a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN263-1.tptp',unknown),
[] ).
cnf(159337616,plain,
m0(b,a,a),
inference(rewrite,[status(thm)],[axiom_38]),
[] ).
cnf(176561632,plain,
( p1(a,A,b)
| ~ p1(b,a,a) ),
inference(resolution,[status(thm)],[160241832,159337616]),
[] ).
fof(axiom_12,plain,
! [A] : m0(a,A,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN263-1.tptp',unknown),
[] ).
cnf(159215984,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/SYN263-1.tptp',unknown),
[] ).
fof(rule_075,plain,
( p1(a,a,a)
| ~ p0(b,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN263-1.tptp',unknown),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN263-1.tptp',unknown),
[] ).
cnf(159223584,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(160156232,plain,
p1(a,a,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,159223584]),
[] ).
fof(axiom_9,plain,
r0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN263-1.tptp',unknown),
[] ).
cnf(159195640,plain,
r0(b),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(160295080,plain,
p1(a,b,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_087,160156232,159195640]),
[] ).
cnf(176968696,plain,
p1(b,A,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[159215984,160241832,160295080]),
[] ).
cnf(177110720,plain,
p1(a,A,b),
inference(resolution,[status(thm)],[176561632,176968696]),
[] ).
cnf(177593424,plain,
p1(d,A,a),
inference(resolution,[status(thm)],[176372752,177110720]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[163520032,177593424]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~p1(d,d,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN263-1.tptp',unknown),[]).
%
% cnf(163520032,plain,(~p1(d,d,a)),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/SYN263-1.tptp',unknown),[]).
%
% cnf(160241832,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/SYN263-1.tptp',unknown),[]).
%
% cnf(159246352,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(176372752,plain,(p1(d,A,B)|~p1(B,d,C)),inference(resolution,[status(thm)],[160241832,159246352]),[]).
%
% fof(axiom_38,plain,(m0(b,a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN263-1.tptp',unknown),[]).
%
% cnf(159337616,plain,(m0(b,a,a)),inference(rewrite,[status(thm)],[axiom_38]),[]).
%
% cnf(176561632,plain,(p1(a,A,b)|~p1(b,a,a)),inference(resolution,[status(thm)],[160241832,159337616]),[]).
%
% fof(axiom_12,plain,(m0(a,A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN263-1.tptp',unknown),[]).
%
% cnf(159215984,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/SYN263-1.tptp',unknown),[]).
%
% fof(rule_075,plain,(p1(a,a,a)|~p0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN263-1.tptp',unknown),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN263-1.tptp',unknown),[]).
%
% cnf(159223584,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(160156232,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,159223584]),[]).
%
% fof(axiom_9,plain,(r0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN263-1.tptp',unknown),[]).
%
% cnf(159195640,plain,(r0(b)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(160295080,plain,(p1(a,b,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_087,160156232,159195640]),[]).
%
% cnf(176968696,plain,(p1(b,A,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[159215984,160241832,160295080]),[]).
%
% cnf(177110720,plain,(p1(a,A,b)),inference(resolution,[status(thm)],[176561632,176968696]),[]).
%
% cnf(177593424,plain,(p1(d,A,a)),inference(resolution,[status(thm)],[176372752,177110720]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[163520032,177593424]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------