%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL170-3 : TPTP v3.4.2. Released v2.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 13:44:31 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 3 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_1,plain,
! [A] :
( theorem(A)
| ~ axiom(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL170-3.tptp',unknown),
[] ).
cnf(166999272,plain,
( theorem(A)
| ~ axiom(A) ),
inference(rewrite,[status(thm)],[rule_1]),
[] ).
fof(axiom_1_3,plain,
! [A,B] : axiom(implies(A,or(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL170-3.tptp',unknown),
[] ).
cnf(166972344,plain,
axiom(implies(A,or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_3]),
[] ).
cnf(174823640,plain,
theorem(implies(A,or(B,A))),
inference(resolution,[status(thm)],[166999272,166972344]),
[] ).
fof(implies_definition,plain,
! [A,B] : $equal(or(not(A),B),implies(A,B)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL170-3.tptp',unknown),
[] ).
cnf(166992784,plain,
$equal(or(not(A),B),implies(A,B)),
inference(rewrite,[status(thm)],[implies_definition]),
[] ).
cnf(175172512,plain,
theorem(implies(A,implies(B,A))),
inference(paramodulation,[status(thm)],[174823640,166992784,theory(equality)]),
[] ).
fof(prove_this,plain,
~ theorem(implies(q,implies(p,q))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL170-3.tptp',unknown),
[] ).
cnf(167026960,plain,
~ theorem(implies(q,implies(p,q))),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[175172512,167026960]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_1,plain,(theorem(A)|~axiom(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL170-3.tptp',unknown),[]).
%
% cnf(166999272,plain,(theorem(A)|~axiom(A)),inference(rewrite,[status(thm)],[rule_1]),[]).
%
% fof(axiom_1_3,plain,(axiom(implies(A,or(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL170-3.tptp',unknown),[]).
%
% cnf(166972344,plain,(axiom(implies(A,or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_3]),[]).
%
% cnf(174823640,plain,(theorem(implies(A,or(B,A)))),inference(resolution,[status(thm)],[166999272,166972344]),[]).
%
% fof(implies_definition,plain,($equal(or(not(A),B),implies(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL170-3.tptp',unknown),[]).
%
% cnf(166992784,plain,($equal(or(not(A),B),implies(A,B))),inference(rewrite,[status(thm)],[implies_definition]),[]).
%
% cnf(175172512,plain,(theorem(implies(A,implies(B,A)))),inference(paramodulation,[status(thm)],[174823640,166992784,theory(equality)]),[]).
%
% fof(prove_this,plain,(~theorem(implies(q,implies(p,q)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL170-3.tptp',unknown),[]).
%
% cnf(167026960,plain,(~theorem(implies(q,implies(p,q)))),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[175172512,167026960]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------