TSTP Solution File: LCL065-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL065-1 : 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 13:41:01 EDT 2009
% Result : Unsatisfiable 5.2s
% Output : Refutation 5.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 23 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 73 ( 11 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_cn_2,plain,
~ is_a_theorem(implies(implies(not(a),a),a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL065-1.tptp',unknown),
[] ).
cnf(165162360,plain,
~ is_a_theorem(implies(implies(not(a),a),a)),
inference(rewrite,[status(thm)],[prove_cn_2]),
[] ).
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/LCL065-1.tptp',unknown),
[] ).
cnf(165141776,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(cn_35,plain,
! [A,B,C] : is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL065-1.tptp',unknown),
[] ).
cnf(165150640,plain,
is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
inference(rewrite,[status(thm)],[cn_35]),
[] ).
cnf(173147064,plain,
( ~ is_a_theorem(implies(implies(implies(B,implies(C,D)),implies(implies(B,C),implies(B,D))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[165141776,165150640]),
[] ).
cnf(173127664,plain,
( ~ is_a_theorem(implies(A,implies(B,C)))
| is_a_theorem(implies(implies(A,B),implies(A,C))) ),
inference(resolution,[status(thm)],[165141776,165150640]),
[] ).
fof(cn_18,plain,
! [A,B] : is_a_theorem(implies(A,implies(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL065-1.tptp',unknown),
[] ).
cnf(165146528,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(rewrite,[status(thm)],[cn_18]),
[] ).
cnf(172920464,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[165141776,165146528]),
[] ).
cnf(172939824,plain,
( ~ is_a_theorem(implies(implies(B,implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[165141776,165146528]),
[] ).
cnf(173614568,plain,
is_a_theorem(implies(implies(A,B),implies(A,A))),
inference(resolution,[status(thm)],[172939824,165150640]),
[] ).
cnf(173886624,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[173614568,172939824]),
[] ).
cnf(173930056,plain,
is_a_theorem(implies(B,implies(A,A))),
inference(resolution,[status(thm)],[173886624,172920464]),
[] ).
cnf(174009320,plain,
( ~ is_a_theorem(implies(implies(B,implies(A,A)),C))
| is_a_theorem(C) ),
inference(resolution,[status(thm)],[173930056,165141776]),
[] ).
cnf(173950816,plain,
( ~ is_a_theorem(implies(implies(A,A),B))
| is_a_theorem(B) ),
inference(resolution,[status(thm)],[173886624,165141776]),
[] ).
cnf(175703936,plain,
is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,B),B))),
inference(resolution,[status(thm)],[173950816,165150640]),
[] ).
cnf(189296192,plain,
is_a_theorem(implies(implies(implies(A,A),B),B)),
inference(resolution,[status(thm)],[174009320,175703936]),
[] ).
cnf(189533096,plain,
is_a_theorem(implies(A,implies(implies(implies(B,B),C),C))),
inference(resolution,[status(thm)],[172920464,189296192]),
[] ).
cnf(190685040,plain,
is_a_theorem(implies(implies(A,implies(implies(C,C),B)),implies(A,B))),
inference(resolution,[status(thm)],[173127664,189533096]),
[] ).
cnf(197256656,plain,
is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))),
inference(resolution,[status(thm)],[173147064,190685040]),
[] ).
cnf(197909136,plain,
( ~ is_a_theorem(implies(A,implies(A,B)))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[165141776,197256656]),
[] ).
fof(cn_49,plain,
! [A,B] : is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL065-1.tptp',unknown),
[] ).
cnf(165154544,plain,
is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))),
inference(rewrite,[status(thm)],[cn_49]),
[] ).
cnf(173029784,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),not(C)),implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[165141776,165154544]),
[] ).
cnf(173064712,plain,
is_a_theorem(implies(C,implies(implies(not(A),not(B)),implies(B,A)))),
inference(resolution,[status(thm)],[173029784,165146528]),
[] ).
cnf(188632088,plain,
is_a_theorem(implies(implies(A,implies(not(B),not(C))),implies(A,implies(C,B)))),
inference(resolution,[status(thm)],[173127664,173064712]),
[] ).
cnf(203653824,plain,
( ~ is_a_theorem(implies(A,implies(not(B),not(C))))
| is_a_theorem(implies(A,implies(C,B))) ),
inference(resolution,[status(thm)],[165141776,188632088]),
[] ).
cnf(203712976,plain,
is_a_theorem(implies(not(B),implies(B,A))),
inference(resolution,[status(thm)],[172939824,188632088]),
[] ).
cnf(204497568,plain,
is_a_theorem(implies(implies(not(A),A),implies(not(A),B))),
inference(resolution,[status(thm)],[173127664,203712976]),
[] ).
cnf(230636728,plain,
is_a_theorem(implies(implies(not(A),A),implies(B,A))),
inference(resolution,[status(thm)],[203653824,204497568]),
[] ).
cnf(231090560,plain,
is_a_theorem(implies(implies(not(A),A),A)),
inference(resolution,[status(thm)],[197909136,230636728]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[165162360,231090560]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 5 seconds
% START OF PROOF SEQUENCE
% fof(prove_cn_2,plain,(~is_a_theorem(implies(implies(not(a),a),a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL065-1.tptp',unknown),[]).
%
% cnf(165162360,plain,(~is_a_theorem(implies(implies(not(a),a),a))),inference(rewrite,[status(thm)],[prove_cn_2]),[]).
%
% 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/LCL065-1.tptp',unknown),[]).
%
% cnf(165141776,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(cn_35,plain,(is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL065-1.tptp',unknown),[]).
%
% cnf(165150640,plain,(is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C))))),inference(rewrite,[status(thm)],[cn_35]),[]).
%
% cnf(173147064,plain,(~is_a_theorem(implies(implies(implies(B,implies(C,D)),implies(implies(B,C),implies(B,D))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[165141776,165150640]),[]).
%
% cnf(173127664,plain,(~is_a_theorem(implies(A,implies(B,C)))|is_a_theorem(implies(implies(A,B),implies(A,C)))),inference(resolution,[status(thm)],[165141776,165150640]),[]).
%
% fof(cn_18,plain,(is_a_theorem(implies(A,implies(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL065-1.tptp',unknown),[]).
%
% cnf(165146528,plain,(is_a_theorem(implies(A,implies(B,A)))),inference(rewrite,[status(thm)],[cn_18]),[]).
%
% cnf(172920464,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[165141776,165146528]),[]).
%
% cnf(172939824,plain,(~is_a_theorem(implies(implies(B,implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[165141776,165146528]),[]).
%
% cnf(173614568,plain,(is_a_theorem(implies(implies(A,B),implies(A,A)))),inference(resolution,[status(thm)],[172939824,165150640]),[]).
%
% cnf(173886624,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[173614568,172939824]),[]).
%
% cnf(173930056,plain,(is_a_theorem(implies(B,implies(A,A)))),inference(resolution,[status(thm)],[173886624,172920464]),[]).
%
% cnf(174009320,plain,(~is_a_theorem(implies(implies(B,implies(A,A)),C))|is_a_theorem(C)),inference(resolution,[status(thm)],[173930056,165141776]),[]).
%
% cnf(173950816,plain,(~is_a_theorem(implies(implies(A,A),B))|is_a_theorem(B)),inference(resolution,[status(thm)],[173886624,165141776]),[]).
%
% cnf(175703936,plain,(is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,B),B)))),inference(resolution,[status(thm)],[173950816,165150640]),[]).
%
% cnf(189296192,plain,(is_a_theorem(implies(implies(implies(A,A),B),B))),inference(resolution,[status(thm)],[174009320,175703936]),[]).
%
% cnf(189533096,plain,(is_a_theorem(implies(A,implies(implies(implies(B,B),C),C)))),inference(resolution,[status(thm)],[172920464,189296192]),[]).
%
% cnf(190685040,plain,(is_a_theorem(implies(implies(A,implies(implies(C,C),B)),implies(A,B)))),inference(resolution,[status(thm)],[173127664,189533096]),[]).
%
% cnf(197256656,plain,(is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B)))),inference(resolution,[status(thm)],[173147064,190685040]),[]).
%
% cnf(197909136,plain,(~is_a_theorem(implies(A,implies(A,B)))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[165141776,197256656]),[]).
%
% fof(cn_49,plain,(is_a_theorem(implies(implies(not(A),not(B)),implies(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL065-1.tptp',unknown),[]).
%
% cnf(165154544,plain,(is_a_theorem(implies(implies(not(A),not(B)),implies(B,A)))),inference(rewrite,[status(thm)],[cn_49]),[]).
%
% cnf(173029784,plain,(~is_a_theorem(implies(implies(implies(not(B),not(C)),implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[165141776,165154544]),[]).
%
% cnf(173064712,plain,(is_a_theorem(implies(C,implies(implies(not(A),not(B)),implies(B,A))))),inference(resolution,[status(thm)],[173029784,165146528]),[]).
%
% cnf(188632088,plain,(is_a_theorem(implies(implies(A,implies(not(B),not(C))),implies(A,implies(C,B))))),inference(resolution,[status(thm)],[173127664,173064712]),[]).
%
% cnf(203653824,plain,(~is_a_theorem(implies(A,implies(not(B),not(C))))|is_a_theorem(implies(A,implies(C,B)))),inference(resolution,[status(thm)],[165141776,188632088]),[]).
%
% cnf(203712976,plain,(is_a_theorem(implies(not(B),implies(B,A)))),inference(resolution,[status(thm)],[172939824,188632088]),[]).
%
% cnf(204497568,plain,(is_a_theorem(implies(implies(not(A),A),implies(not(A),B)))),inference(resolution,[status(thm)],[173127664,203712976]),[]).
%
% cnf(230636728,plain,(is_a_theorem(implies(implies(not(A),A),implies(B,A)))),inference(resolution,[status(thm)],[203653824,204497568]),[]).
%
% cnf(231090560,plain,(is_a_theorem(implies(implies(not(A),A),A))),inference(resolution,[status(thm)],[197909136,230636728]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[165162360,231090560]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------