TSTP Solution File: SYN219-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN219-1 : 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 17:17:53 EDT 2009
% Result : Unsatisfiable 25.0s
% Output : Refutation 25.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 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 : 40 ( 14 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_11,plain,
n0(e,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN219-1.tptp',unknown),
[] ).
cnf(177258440,plain,
n0(e,b),
inference(rewrite,[status(thm)],[axiom_11]),
[] ).
fof(rule_126,plain,
! [A,B,C] :
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN219-1.tptp',unknown),
[] ).
cnf(178709112,plain,
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
inference(rewrite,[status(thm)],[rule_126]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN219-1.tptp',unknown),
[] ).
cnf(177285008,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(191858328,plain,
( s1(A)
| ~ s1(B) ),
inference(resolution,[status(thm)],[178709112,177285008]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN219-1.tptp',unknown),
[] ).
cnf(178696968,plain,
( s1(A)
| ~ p0(A,A) ),
inference(rewrite,[status(thm)],[rule_125]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN219-1.tptp',unknown),
[] ).
cnf(177269720,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(191578360,plain,
s1(b),
inference(resolution,[status(thm)],[178696968,177269720]),
[] ).
cnf(194919760,plain,
s1(A),
inference(resolution,[status(thm)],[191858328,191578360]),
[] ).
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/SYN219-1.tptp',unknown),
[] ).
cnf(178797920,plain,
( l2(A,B)
| ~ s1(A)
| ~ n0(e,B)
| ~ l2(B,B) ),
inference(rewrite,[status(thm)],[rule_131]),
[] ).
cnf(194870456,plain,
( l2(A,B)
| ~ n0(e,B)
| ~ l2(B,B)
| ~ s1(C) ),
inference(resolution,[status(thm)],[178797920,191858328]),
[] ).
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/SYN219-1.tptp',unknown),
[] ).
cnf(178813968,plain,
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
inference(rewrite,[status(thm)],[rule_133]),
[] ).
cnf(191683064,plain,
( l2(A,A)
| ~ s1(B)
| ~ m0(C,B,A) ),
inference(resolution,[status(thm)],[178813968,177269720]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN219-1.tptp',unknown),
[] ).
cnf(177292488,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(202505688,plain,
l2(A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[194919760,191683064,177292488]),
[] ).
cnf(539391936,plain,
( l2(A,B)
| ~ n0(e,B) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[194919760,194870456,202505688]),
[] ).
fof(prove_this,plain,
~ l2(e,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN219-1.tptp',unknown),
[] ).
cnf(181566096,plain,
~ l2(e,b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[177258440,539391936,181566096]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 24 seconds
% START OF PROOF SEQUENCE
% fof(axiom_11,plain,(n0(e,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN219-1.tptp',unknown),[]).
%
% cnf(177258440,plain,(n0(e,b)),inference(rewrite,[status(thm)],[axiom_11]),[]).
%
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN219-1.tptp',unknown),[]).
%
% cnf(178709112,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN219-1.tptp',unknown),[]).
%
% cnf(177285008,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(191858328,plain,(s1(A)|~s1(B)),inference(resolution,[status(thm)],[178709112,177285008]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN219-1.tptp',unknown),[]).
%
% cnf(178696968,plain,(s1(A)|~p0(A,A)),inference(rewrite,[status(thm)],[rule_125]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN219-1.tptp',unknown),[]).
%
% cnf(177269720,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(191578360,plain,(s1(b)),inference(resolution,[status(thm)],[178696968,177269720]),[]).
%
% cnf(194919760,plain,(s1(A)),inference(resolution,[status(thm)],[191858328,191578360]),[]).
%
% fof(rule_131,plain,(l2(A,B)|~s1(A)|~n0(e,B)|~l2(B,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN219-1.tptp',unknown),[]).
%
% cnf(178797920,plain,(l2(A,B)|~s1(A)|~n0(e,B)|~l2(B,B)),inference(rewrite,[status(thm)],[rule_131]),[]).
%
% cnf(194870456,plain,(l2(A,B)|~n0(e,B)|~l2(B,B)|~s1(C)),inference(resolution,[status(thm)],[178797920,191858328]),[]).
%
% 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/SYN219-1.tptp',unknown),[]).
%
% cnf(178813968,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),inference(rewrite,[status(thm)],[rule_133]),[]).
%
% cnf(191683064,plain,(l2(A,A)|~s1(B)|~m0(C,B,A)),inference(resolution,[status(thm)],[178813968,177269720]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN219-1.tptp',unknown),[]).
%
% cnf(177292488,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(202505688,plain,(l2(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[194919760,191683064,177292488]),[]).
%
% cnf(539391936,plain,(l2(A,B)|~n0(e,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[194919760,194870456,202505688]),[]).
%
% fof(prove_this,plain,(~l2(e,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN219-1.tptp',unknown),[]).
%
% cnf(181566096,plain,(~l2(e,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[177258440,539391936,181566096]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------