TSTP Solution File: SYN209-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN209-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 17:17:13 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 15 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 22 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 30 ( 6 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_7,plain,
n0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),
[] ).
cnf(164285200,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),
[] ).
cnf(164459232,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
cnf(182297728,plain,
l1(b,b),
inference(resolution,[status(thm)],[164285200,164459232]),
[] ).
fof(rule_299,plain,
! [A,B,C,D] :
( s4(A)
| ~ p3(B,C,D)
| ~ l1(A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),
[] ).
cnf(168172784,plain,
( s4(A)
| ~ p3(B,C,D)
| ~ l1(A,C) ),
inference(rewrite,[status(thm)],[rule_299]),
[] ).
fof(rule_246,plain,
! [A] :
( p3(A,A,A)
| ~ l2(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),
[] ).
cnf(164230592,plain,
( p3(A,A,A)
| ~ l2(A,A) ),
inference(rewrite,[status(thm)],[rule_246]),
[] ).
fof(rule_015,plain,
! [A,B,C] :
( m1(A,B,B)
| ~ l0(C)
| ~ m0(B,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),
[] ).
cnf(164624024,plain,
( m1(A,B,B)
| ~ l0(C)
| ~ m0(B,B,A) ),
inference(rewrite,[status(thm)],[rule_015]),
[] ).
fof(axiom_31,plain,
m0(b,b,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),
[] ).
cnf(164409368,plain,
m0(b,b,e),
inference(rewrite,[status(thm)],[axiom_31]),
[] ).
cnf(179587136,plain,
( m1(e,b,b)
| ~ l0(A) ),
inference(resolution,[status(thm)],[164624024,164409368]),
[] ).
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),
[] ).
cnf(164352640,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(179591648,plain,
m1(e,b,b),
inference(resolution,[status(thm)],[179587136,164352640]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),
[] ).
cnf(164325512,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
fof(rule_134,plain,
! [A,B,C] :
( l2(A,A)
| ~ m0(B,A,C)
| ~ m1(C,B,B)
| ~ p0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),
[] ).
cnf(165888816,plain,
( l2(A,A)
| ~ m0(B,A,C)
| ~ m1(C,B,B)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_134]),
[] ).
cnf(179655872,plain,
l2(b,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[179591648,164325512,165888816,164409368]),
[] ).
cnf(179712056,plain,
p3(b,b,b),
inference(resolution,[status(thm)],[164230592,179655872]),
[] ).
cnf(186334736,plain,
( s4(A)
| ~ l1(A,b) ),
inference(resolution,[status(thm)],[168172784,179712056]),
[] ).
fof(prove_this,plain,
~ s4(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),
[] ).
cnf(168622376,plain,
~ s4(b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[182297728,186334736,168622376]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_7,plain,(n0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),[]).
%
% cnf(164285200,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),[]).
%
% cnf(164459232,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% cnf(182297728,plain,(l1(b,b)),inference(resolution,[status(thm)],[164285200,164459232]),[]).
%
% fof(rule_299,plain,(s4(A)|~p3(B,C,D)|~l1(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),[]).
%
% cnf(168172784,plain,(s4(A)|~p3(B,C,D)|~l1(A,C)),inference(rewrite,[status(thm)],[rule_299]),[]).
%
% fof(rule_246,plain,(p3(A,A,A)|~l2(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),[]).
%
% cnf(164230592,plain,(p3(A,A,A)|~l2(A,A)),inference(rewrite,[status(thm)],[rule_246]),[]).
%
% fof(rule_015,plain,(m1(A,B,B)|~l0(C)|~m0(B,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),[]).
%
% cnf(164624024,plain,(m1(A,B,B)|~l0(C)|~m0(B,B,A)),inference(rewrite,[status(thm)],[rule_015]),[]).
%
% fof(axiom_31,plain,(m0(b,b,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),[]).
%
% cnf(164409368,plain,(m0(b,b,e)),inference(rewrite,[status(thm)],[axiom_31]),[]).
%
% cnf(179587136,plain,(m1(e,b,b)|~l0(A)),inference(resolution,[status(thm)],[164624024,164409368]),[]).
%
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),[]).
%
% cnf(164352640,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(179591648,plain,(m1(e,b,b)),inference(resolution,[status(thm)],[179587136,164352640]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),[]).
%
% cnf(164325512,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% fof(rule_134,plain,(l2(A,A)|~m0(B,A,C)|~m1(C,B,B)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),[]).
%
% cnf(165888816,plain,(l2(A,A)|~m0(B,A,C)|~m1(C,B,B)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_134]),[]).
%
% cnf(179655872,plain,(l2(b,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[179591648,164325512,165888816,164409368]),[]).
%
% cnf(179712056,plain,(p3(b,b,b)),inference(resolution,[status(thm)],[164230592,179655872]),[]).
%
% cnf(186334736,plain,(s4(A)|~l1(A,b)),inference(resolution,[status(thm)],[168172784,179712056]),[]).
%
% fof(prove_this,plain,(~s4(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN209-1.tptp',unknown),[]).
%
% cnf(168622376,plain,(~s4(b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[182297728,186334736,168622376]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------