TSTP Solution File: LCL041-1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL041-1 : TPTP v3.4.2. Released v1.0.0.
% 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 13:40:28 EDT 2009
% Result : Unsatisfiable 127.2s
% Output : Refutation 127.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 16 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 7 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(condensed_detachment,plain,
! [A,B] :
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL041-1.tptp',unknown),
[] ).
cnf(161379656,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(cn_3,plain,
! [A,B] : is_a_theorem(implies(A,implies(not(A),B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL041-1.tptp',unknown),
[] ).
cnf(161384440,plain,
is_a_theorem(implies(A,implies(not(A),B))),
inference(rewrite,[status(thm)],[cn_3]),
[] ).
cnf(169338192,plain,
( ~ is_a_theorem(implies(implies(B,implies(not(B),C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[161379656,161384440]),
[] ).
fof(cn_21,plain,
! [A,B,C] : is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL041-1.tptp',unknown),
[] ).
cnf(161392368,plain,
is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))),
inference(rewrite,[status(thm)],[cn_21]),
[] ).
cnf(173445136,plain,
is_a_theorem(implies(not(A),implies(A,B))),
inference(resolution,[status(thm)],[169338192,161392368]),
[] ).
cnf(173597728,plain,
( ~ is_a_theorem(implies(implies(not(A),implies(A,B)),C))
| is_a_theorem(C) ),
inference(resolution,[status(thm)],[173445136,161379656]),
[] ).
cnf(169404440,plain,
( ~ is_a_theorem(implies(A,implies(B,C)))
| is_a_theorem(implies(B,implies(A,C))) ),
inference(resolution,[status(thm)],[161379656,161392368]),
[] ).
fof(cn_54,plain,
! [A,B] : is_a_theorem(implies(implies(A,B),implies(implies(not(A),B),B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL041-1.tptp',unknown),
[] ).
cnf(161404248,plain,
is_a_theorem(implies(implies(A,B),implies(implies(not(A),B),B))),
inference(rewrite,[status(thm)],[cn_54]),
[] ).
cnf(181354624,plain,
is_a_theorem(implies(implies(not(B),A),implies(implies(B,A),A))),
inference(resolution,[status(thm)],[169404440,161404248]),
[] ).
cnf(259099728,plain,
is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))),
inference(resolution,[status(thm)],[173597728,181354624]),
[] ).
fof(prove_cn_30,plain,
~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL041-1.tptp',unknown),
[] ).
cnf(161408008,plain,
~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
inference(rewrite,[status(thm)],[prove_cn_30]),
[] ).
cnf(169983616,plain,
( ~ is_a_theorem(implies(A,implies(implies(a,implies(a,b)),implies(a,b))))
| ~ is_a_theorem(A) ),
inference(resolution,[status(thm)],[161408008,161379656]),
[] ).
fof(cn_18,plain,
! [A,B] : is_a_theorem(implies(A,implies(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL041-1.tptp',unknown),
[] ).
cnf(161388480,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(rewrite,[status(thm)],[cn_18]),
[] ).
cnf(169190448,plain,
( ~ is_a_theorem(implies(implies(B,implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[161379656,161388480]),
[] ).
cnf(170575504,plain,
is_a_theorem(implies(B,implies(A,A))),
inference(resolution,[status(thm)],[169190448,161392368]),
[] ).
cnf(170702216,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[170575504,169190448]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[259099728,169983616,170702216]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 126 seconds
% START OF PROOF SEQUENCE
% fof(condensed_detachment,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL041-1.tptp',unknown),[]).
%
% cnf(161379656,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(cn_3,plain,(is_a_theorem(implies(A,implies(not(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL041-1.tptp',unknown),[]).
%
% cnf(161384440,plain,(is_a_theorem(implies(A,implies(not(A),B)))),inference(rewrite,[status(thm)],[cn_3]),[]).
%
% cnf(169338192,plain,(~is_a_theorem(implies(implies(B,implies(not(B),C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[161379656,161384440]),[]).
%
% fof(cn_21,plain,(is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL041-1.tptp',unknown),[]).
%
% cnf(161392368,plain,(is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C))))),inference(rewrite,[status(thm)],[cn_21]),[]).
%
% cnf(173445136,plain,(is_a_theorem(implies(not(A),implies(A,B)))),inference(resolution,[status(thm)],[169338192,161392368]),[]).
%
% cnf(173597728,plain,(~is_a_theorem(implies(implies(not(A),implies(A,B)),C))|is_a_theorem(C)),inference(resolution,[status(thm)],[173445136,161379656]),[]).
%
% cnf(169404440,plain,(~is_a_theorem(implies(A,implies(B,C)))|is_a_theorem(implies(B,implies(A,C)))),inference(resolution,[status(thm)],[161379656,161392368]),[]).
%
% fof(cn_54,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),B),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL041-1.tptp',unknown),[]).
%
% cnf(161404248,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),B),B)))),inference(rewrite,[status(thm)],[cn_54]),[]).
%
% cnf(181354624,plain,(is_a_theorem(implies(implies(not(B),A),implies(implies(B,A),A)))),inference(resolution,[status(thm)],[169404440,161404248]),[]).
%
% cnf(259099728,plain,(is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B)))),inference(resolution,[status(thm)],[173597728,181354624]),[]).
%
% fof(prove_cn_30,plain,(~is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL041-1.tptp',unknown),[]).
%
% cnf(161408008,plain,(~is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b)))),inference(rewrite,[status(thm)],[prove_cn_30]),[]).
%
% cnf(169983616,plain,(~is_a_theorem(implies(A,implies(implies(a,implies(a,b)),implies(a,b))))|~is_a_theorem(A)),inference(resolution,[status(thm)],[161408008,161379656]),[]).
%
% fof(cn_18,plain,(is_a_theorem(implies(A,implies(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL041-1.tptp',unknown),[]).
%
% cnf(161388480,plain,(is_a_theorem(implies(A,implies(B,A)))),inference(rewrite,[status(thm)],[cn_18]),[]).
%
% cnf(169190448,plain,(~is_a_theorem(implies(implies(B,implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[161379656,161388480]),[]).
%
% cnf(170575504,plain,(is_a_theorem(implies(B,implies(A,A)))),inference(resolution,[status(thm)],[169190448,161392368]),[]).
%
% cnf(170702216,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[170575504,169190448]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[259099728,169983616,170702216]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------