TSTP Solution File: SYN122-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN122-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 16:49:58 EDT 2009
% Result : Unsatisfiable 1.0s
% Output : Refutation 1.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 15 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 34 ( 8 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ l2(b,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),
[] ).
cnf(161433392,plain,
~ l2(b,e),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_131,plain,
! [A,B] :
( l2(A,B)
| ~ s1(A)
| ~ n0(e,B)
| ~ l2(B,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),
[] ).
cnf(158665240,plain,
( l2(A,B)
| ~ s1(A)
| ~ n0(e,B)
| ~ l2(B,B) ),
inference(rewrite,[status(thm)],[rule_131]),
[] ).
fof(axiom_30,plain,
n0(e,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),
[] ).
cnf(157217232,plain,
n0(e,e),
inference(rewrite,[status(thm)],[axiom_30]),
[] ).
cnf(174173064,plain,
( l2(A,e)
| ~ s1(A)
| ~ l2(e,e) ),
inference(resolution,[status(thm)],[158665240,157217232]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),
[] ).
cnf(158564288,plain,
( s1(A)
| ~ p0(A,A) ),
inference(rewrite,[status(thm)],[rule_125]),
[] ).
cnf(174456592,plain,
( l2(A,e)
| ~ l2(e,e)
| ~ p0(A,A) ),
inference(resolution,[status(thm)],[174173064,158564288]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),
[] ).
cnf(157137056,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(174467616,plain,
~ l2(e,e),
inference(forward_subsumption_resolution__resolution,[status(thm)],[161433392,174456592,157137056]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),
[] ).
cnf(157159824,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
fof(rule_126,plain,
! [A,B,C] :
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),
[] ).
cnf(158576432,plain,
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
inference(rewrite,[status(thm)],[rule_126]),
[] ).
cnf(171072184,plain,
s1(b),
inference(resolution,[status(thm)],[158564288,157137056]),
[] ).
cnf(171326656,plain,
( s1(A)
| ~ q0(A,B) ),
inference(resolution,[status(thm)],[158576432,171072184]),
[] ).
fof(axiom_29,plain,
q0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),
[] ).
cnf(157213632,plain,
q0(d,b),
inference(rewrite,[status(thm)],[axiom_29]),
[] ).
cnf(171674856,plain,
s1(d),
inference(resolution,[status(thm)],[171326656,157213632]),
[] ).
fof(rule_133,plain,
! [A,B,C,D] :
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),
[] ).
cnf(158685376,plain,
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
inference(rewrite,[status(thm)],[rule_133]),
[] ).
cnf(171246856,plain,
( l2(A,A)
| ~ s1(B)
| ~ m0(C,B,A) ),
inference(resolution,[status(thm)],[158685376,157137056]),
[] ).
cnf(185191232,plain,
l2(A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[157159824,171674856,171246856]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[174467616,185191232]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~l2(b,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),[]).
%
% cnf(161433392,plain,(~l2(b,e)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_131,plain,(l2(A,B)|~s1(A)|~n0(e,B)|~l2(B,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),[]).
%
% cnf(158665240,plain,(l2(A,B)|~s1(A)|~n0(e,B)|~l2(B,B)),inference(rewrite,[status(thm)],[rule_131]),[]).
%
% fof(axiom_30,plain,(n0(e,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),[]).
%
% cnf(157217232,plain,(n0(e,e)),inference(rewrite,[status(thm)],[axiom_30]),[]).
%
% cnf(174173064,plain,(l2(A,e)|~s1(A)|~l2(e,e)),inference(resolution,[status(thm)],[158665240,157217232]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),[]).
%
% cnf(158564288,plain,(s1(A)|~p0(A,A)),inference(rewrite,[status(thm)],[rule_125]),[]).
%
% cnf(174456592,plain,(l2(A,e)|~l2(e,e)|~p0(A,A)),inference(resolution,[status(thm)],[174173064,158564288]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),[]).
%
% cnf(157137056,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(174467616,plain,(~l2(e,e)),inference(forward_subsumption_resolution__resolution,[status(thm)],[161433392,174456592,157137056]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),[]).
%
% cnf(157159824,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),[]).
%
% cnf(158576432,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
%
% cnf(171072184,plain,(s1(b)),inference(resolution,[status(thm)],[158564288,157137056]),[]).
%
% cnf(171326656,plain,(s1(A)|~q0(A,B)),inference(resolution,[status(thm)],[158576432,171072184]),[]).
%
% fof(axiom_29,plain,(q0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),[]).
%
% cnf(157213632,plain,(q0(d,b)),inference(rewrite,[status(thm)],[axiom_29]),[]).
%
% cnf(171674856,plain,(s1(d)),inference(resolution,[status(thm)],[171326656,157213632]),[]).
%
% fof(rule_133,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN122-1.tptp',unknown),[]).
%
% cnf(158685376,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),inference(rewrite,[status(thm)],[rule_133]),[]).
%
% cnf(171246856,plain,(l2(A,A)|~s1(B)|~m0(C,B,A)),inference(resolution,[status(thm)],[158685376,157137056]),[]).
%
% cnf(185191232,plain,(l2(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[157159824,171674856,171246856]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174467616,185191232]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------