%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN189-1 : 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 17:11:04 EDT 2009
% Result : Unsatisfiable 0.5s
% Output : Refutation 0.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 11 ( 2 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_097,plain,
! [A] :
( q1(A,A,A)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN189-1.tptp',unknown),
[] ).
cnf(158223696,plain,
( q1(A,A,A)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_097]),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN189-1.tptp',unknown),
[] ).
cnf(156951504,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(169633864,plain,
q1(d,d,d),
inference(resolution,[status(thm)],[158223696,156951504]),
[] ).
fof(rule_124,plain,
! [A,B] :
( r1(A)
| ~ q0(A,B)
| ~ s0(d)
| ~ q1(d,B,d) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN189-1.tptp',unknown),
[] ).
cnf(158454616,plain,
( r1(A)
| ~ q0(A,B)
| ~ q1(d,B,d) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,156951504]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN189-1.tptp',unknown),
[] ).
cnf(157054840,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(178527184,plain,
r1(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[169633864,158454616,157054840]),
[] ).
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN189-1.tptp',unknown),
[] ).
cnf(157084904,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
fof(prove_this,plain,
~ r2(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN189-1.tptp',unknown),
[] ).
cnf(161336432,plain,
~ r2(c),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_188,plain,
! [A] :
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN189-1.tptp',unknown),
[] ).
cnf(159351272,plain,
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
inference(rewrite,[status(thm)],[rule_188]),
[] ).
cnf(174933096,plain,
~ r1(c),
inference(forward_subsumption_resolution__resolution,[status(thm)],[157084904,161336432,159351272]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[178527184,174933096]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_097,plain,(q1(A,A,A)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN189-1.tptp',unknown),[]).
%
% cnf(158223696,plain,(q1(A,A,A)|~s0(A)),inference(rewrite,[status(thm)],[rule_097]),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN189-1.tptp',unknown),[]).
%
% cnf(156951504,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(169633864,plain,(q1(d,d,d)),inference(resolution,[status(thm)],[158223696,156951504]),[]).
%
% fof(rule_124,plain,(r1(A)|~q0(A,B)|~s0(d)|~q1(d,B,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN189-1.tptp',unknown),[]).
%
% cnf(158454616,plain,(r1(A)|~q0(A,B)|~q1(d,B,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,156951504]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN189-1.tptp',unknown),[]).
%
% cnf(157054840,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(178527184,plain,(r1(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[169633864,158454616,157054840]),[]).
%
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN189-1.tptp',unknown),[]).
%
% cnf(157084904,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% fof(prove_this,plain,(~r2(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN189-1.tptp',unknown),[]).
%
% cnf(161336432,plain,(~r2(c)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_188,plain,(r2(A)|~r1(A)|~l0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN189-1.tptp',unknown),[]).
%
% cnf(159351272,plain,(r2(A)|~r1(A)|~l0(A)),inference(rewrite,[status(thm)],[rule_188]),[]).
%
% cnf(174933096,plain,(~r1(c)),inference(forward_subsumption_resolution__resolution,[status(thm)],[157084904,161336432,159351272]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[178527184,174933096]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------