TSTP Solution File: SYN224-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN224-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 17:18:09 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 14 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 24 ( 7 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_217,plain,
! [A] :
( l3(A,A)
| ~ n2(A)
| ~ m2(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),
[] ).
cnf(167351408,plain,
( l3(A,A)
| ~ n2(A)
| ~ m2(b) ),
inference(rewrite,[status(thm)],[rule_217]),
[] ).
fof(rule_135,plain,
! [A,B,C] :
( m2(A)
| ~ s0(A)
| ~ l1(B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),
[] ).
cnf(166239256,plain,
( m2(A)
| ~ s0(A)
| ~ l1(B,C) ),
inference(rewrite,[status(thm)],[rule_135]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),
[] ).
cnf(164795168,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
fof(axiom_3,plain,
n0(d,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),
[] ).
cnf(164591872,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(178118040,plain,
l1(e,e),
inference(resolution,[status(thm)],[164795168,164591872]),
[] ).
cnf(179741152,plain,
( m2(A)
| ~ s0(A) ),
inference(resolution,[status(thm)],[166239256,178118040]),
[] ).
fof(axiom_5,plain,
s0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),
[] ).
cnf(164613648,plain,
s0(b),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(179747552,plain,
m2(b),
inference(resolution,[status(thm)],[179741152,164613648]),
[] ).
cnf(179876232,plain,
( l3(A,A)
| ~ n2(A) ),
inference(resolution,[status(thm)],[167351408,179747552]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),
[] ).
cnf(166264400,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
fof(rule_075,plain,
( p1(a,a,a)
| ~ p0(b,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),
[] ).
cnf(164661448,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(165594096,plain,
p1(a,a,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,164661448]),
[] ).
cnf(180914064,plain,
n2(a),
inference(resolution,[status(thm)],[166264400,165594096]),
[] ).
cnf(181068960,plain,
l3(a,a),
inference(resolution,[status(thm)],[179876232,180914064]),
[] ).
fof(prove_this,plain,
! [A] : ~ l3(a,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),
[] ).
cnf(168957800,plain,
~ l3(a,A),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[181068960,168957800]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_217,plain,(l3(A,A)|~n2(A)|~m2(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),[]).
%
% cnf(167351408,plain,(l3(A,A)|~n2(A)|~m2(b)),inference(rewrite,[status(thm)],[rule_217]),[]).
%
% fof(rule_135,plain,(m2(A)|~s0(A)|~l1(B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),[]).
%
% cnf(166239256,plain,(m2(A)|~s0(A)|~l1(B,C)),inference(rewrite,[status(thm)],[rule_135]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),[]).
%
% cnf(164795168,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),[]).
%
% cnf(164591872,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(178118040,plain,(l1(e,e)),inference(resolution,[status(thm)],[164795168,164591872]),[]).
%
% cnf(179741152,plain,(m2(A)|~s0(A)),inference(resolution,[status(thm)],[166239256,178118040]),[]).
%
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),[]).
%
% cnf(164613648,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(179747552,plain,(m2(b)),inference(resolution,[status(thm)],[179741152,164613648]),[]).
%
% cnf(179876232,plain,(l3(A,A)|~n2(A)),inference(resolution,[status(thm)],[167351408,179747552]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),[]).
%
% cnf(166264400,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% fof(rule_075,plain,(p1(a,a,a)|~p0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),[]).
%
% cnf(164661448,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(165594096,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,164661448]),[]).
%
% cnf(180914064,plain,(n2(a)),inference(resolution,[status(thm)],[166264400,165594096]),[]).
%
% cnf(181068960,plain,(l3(a,a)),inference(resolution,[status(thm)],[179876232,180914064]),[]).
%
% fof(prove_this,plain,(~l3(a,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN224-1.tptp',unknown),[]).
%
% cnf(168957800,plain,(~l3(a,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[181068960,168957800]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------