TSTP Solution File: SYN279-1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN279-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 17:39:53 EDT 2009
% Result : Unsatisfiable 1.0s
% Output : Refutation 1.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 5 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_092,plain,
! [A,B,C,D] :
( q1(A,B,A)
| ~ n0(C,B)
| ~ p0(D,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN279-1.tptp',unknown),
[] ).
cnf(156495992,plain,
( q1(A,B,A)
| ~ n0(C,B)
| ~ p0(D,A) ),
inference(rewrite,[status(thm)],[rule_092]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN279-1.tptp',unknown),
[] ).
cnf(155381576,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(186009840,plain,
( q1(A,B,A)
| ~ n0(C,B) ),
inference(resolution,[status(thm)],[156495992,155381576]),
[] ).
fof(axiom_37,plain,
n0(b,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN279-1.tptp',unknown),
[] ).
cnf(155487872,plain,
n0(b,a),
inference(rewrite,[status(thm)],[axiom_37]),
[] ).
cnf(186123784,plain,
q1(A,a,A),
inference(resolution,[status(thm)],[186009840,155487872]),
[] ).
fof(prove_this,plain,
! [A] : ~ q1(A,a,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN279-1.tptp',unknown),
[] ).
cnf(159678592,plain,
~ q1(A,a,c),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[186123784,159678592]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_092,plain,(q1(A,B,A)|~n0(C,B)|~p0(D,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN279-1.tptp',unknown),[]).
%
% cnf(156495992,plain,(q1(A,B,A)|~n0(C,B)|~p0(D,A)),inference(rewrite,[status(thm)],[rule_092]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN279-1.tptp',unknown),[]).
%
% cnf(155381576,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(186009840,plain,(q1(A,B,A)|~n0(C,B)),inference(resolution,[status(thm)],[156495992,155381576]),[]).
%
% fof(axiom_37,plain,(n0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN279-1.tptp',unknown),[]).
%
% cnf(155487872,plain,(n0(b,a)),inference(rewrite,[status(thm)],[axiom_37]),[]).
%
% cnf(186123784,plain,(q1(A,a,A)),inference(resolution,[status(thm)],[186009840,155487872]),[]).
%
% fof(prove_this,plain,(~q1(A,a,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN279-1.tptp',unknown),[]).
%
% cnf(159678592,plain,(~q1(A,a,c)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[186123784,159678592]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------