TSTP Solution File: LCL083-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL083-1 : 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 13:41:36 EDT 2009
% Result : Unsatisfiable 54.7s
% Output : Refutation 54.7s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of formulae : 38 ( 27 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 113 ( 48 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_ic_3,plain,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL083-1.tptp',unknown),
[] ).
cnf(147367320,plain,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(rewrite,[status(thm)],[prove_ic_3]),
[] ).
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/LCL083-1.tptp',unknown),
[] ).
cnf(147358440,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(ic_JLukasiewicz,plain,
! [A,B,C,D] : is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL083-1.tptp',unknown),
[] ).
cnf(147363296,plain,
is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A)))),
inference(rewrite,[status(thm)],[ic_JLukasiewicz]),
[] ).
cnf(155245968,plain,
( ~ is_a_theorem(implies(implies(implies(implies(B,C),D),implies(implies(D,B),implies(E,B))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[147358440,147363296]),
[] ).
cnf(155227160,plain,
( ~ is_a_theorem(implies(implies(A,B),C))
| is_a_theorem(implies(implies(C,A),implies(D,A))) ),
inference(resolution,[status(thm)],[147358440,147363296]),
[] ).
cnf(155186904,plain,
( ~ is_a_theorem(A)
| is_a_theorem(B)
| ~ is_a_theorem(implies(C,implies(A,B)))
| ~ is_a_theorem(C) ),
inference(resolution,[status(thm)],[147358440,147358440]),
[] ).
cnf(155442712,plain,
( ~ is_a_theorem(implies(C,A))
| is_a_theorem(implies(D,A))
| ~ is_a_theorem(implies(implies(A,B),C)) ),
inference(resolution,[status(thm)],[155186904,147363296]),
[] ).
cnf(156559488,plain,
( ~ is_a_theorem(implies(implies(implies(A,C),implies(E,C)),implies(C,D)))
| is_a_theorem(implies(B,implies(C,D))) ),
inference(resolution,[status(thm)],[155442712,147363296]),
[] ).
cnf(155807672,plain,
is_a_theorem(implies(implies(implies(implies(A,C),implies(E,C)),implies(C,D)),implies(B,implies(C,D)))),
inference(resolution,[status(thm)],[155227160,147363296]),
[] ).
cnf(158616832,plain,
is_a_theorem(implies(A,implies(implies(D,B),implies(B,implies(D,B))))),
inference(resolution,[status(thm)],[156559488,155807672]),
[] ).
cnf(158684448,plain,
is_a_theorem(implies(implies(G,E),implies(E,implies(G,E)))),
inference(resolution,[status(thm)],[155245968,158616832]),
[] ).
cnf(158727064,plain,
( ~ is_a_theorem(implies(implies(implies(H,F),implies(F,implies(H,F))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[147358440,158684448]),
[] ).
cnf(158747032,plain,
is_a_theorem(implies(implies(implies(B,implies(A,B)),A),implies(C,A))),
inference(resolution,[status(thm)],[155227160,158684448]),
[] ).
cnf(158882480,plain,
is_a_theorem(implies(implies(implies(D,A),implies(C,implies(A,C))),implies(B,implies(C,implies(A,C))))),
inference(resolution,[status(thm)],[155227160,158747032]),
[] ).
cnf(159814640,plain,
is_a_theorem(implies(G,implies(E,implies(E,E)))),
inference(resolution,[status(thm)],[158727064,158882480]),
[] ).
cnf(159933736,plain,
is_a_theorem(implies(implies(implies(H,implies(H,H)),A),implies(C,A))),
inference(resolution,[status(thm)],[155227160,159814640]),
[] ).
cnf(160469472,plain,
is_a_theorem(implies(B,implies(implies(A,A),implies(C,implies(A,A))))),
inference(resolution,[status(thm)],[156559488,159933736]),
[] ).
cnf(160578416,plain,
is_a_theorem(implies(implies(E,E),implies(F,implies(E,E)))),
inference(resolution,[status(thm)],[155245968,160469472]),
[] ).
cnf(160690880,plain,
( ~ is_a_theorem(implies(implies(implies(F,F),implies(G,implies(F,F))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[147358440,160578416]),
[] ).
cnf(160711912,plain,
is_a_theorem(implies(implies(implies(G,implies(A,A)),A),implies(B,A))),
inference(resolution,[status(thm)],[155227160,160578416]),
[] ).
cnf(161086504,plain,
is_a_theorem(implies(implies(implies(C,A),implies(H,implies(A,A))),implies(B,implies(H,implies(A,A))))),
inference(resolution,[status(thm)],[155227160,160711912]),
[] ).
cnf(177952352,plain,
is_a_theorem(implies(G,implies(F,implies(E,E)))),
inference(resolution,[status(thm)],[160690880,161086504]),
[] ).
cnf(178218960,plain,
is_a_theorem(implies(J,implies(I,I))),
inference(resolution,[status(thm)],[155245968,177952352]),
[] ).
cnf(178480832,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(J,J)) ),
inference(resolution,[status(thm)],[147358440,178218960]),
[] ).
cnf(178522880,plain,
is_a_theorem(implies(I,I)),
inference(resolution,[status(thm)],[178480832,147363296]),
[] ).
cnf(178779848,plain,
is_a_theorem(implies(implies(implies(A,B),A),implies(C,A))),
inference(resolution,[status(thm)],[155227160,178522880]),
[] ).
cnf(180216544,plain,
( ~ is_a_theorem(implies(implies(implies(implies(B,C),B),implies(D,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[147358440,178779848]),
[] ).
cnf(180235792,plain,
is_a_theorem(implies(implies(implies(D,A),implies(A,C)),implies(B,implies(A,C)))),
inference(resolution,[status(thm)],[155227160,178779848]),
[] ).
cnf(183045872,plain,
is_a_theorem(implies(implies(implies(C,implies(B,D)),implies(E,B)),implies(A,implies(E,B)))),
inference(resolution,[status(thm)],[155227160,180235792]),
[] ).
cnf(193553448,plain,
is_a_theorem(implies(D,implies(implies(implies(implies(C,A),E),A),implies(C,A)))),
inference(resolution,[status(thm)],[155245968,183045872]),
[] ).
cnf(194028320,plain,
is_a_theorem(implies(implies(implies(implies(G,E),H),E),implies(G,E))),
inference(resolution,[status(thm)],[155245968,193553448]),
[] ).
cnf(194452328,plain,
is_a_theorem(implies(implies(implies(H,A),implies(implies(H,A),I)),implies(B,implies(implies(H,A),I)))),
inference(resolution,[status(thm)],[155227160,194028320]),
[] ).
cnf(237651088,plain,
is_a_theorem(implies(C,implies(implies(implies(A,B),A),A))),
inference(resolution,[status(thm)],[180216544,194452328]),
[] ).
cnf(240106232,plain,
is_a_theorem(implies(implies(implies(E,F),E),E)),
inference(resolution,[status(thm)],[155245968,237651088]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[147367320,240106232]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 54 seconds
% START OF PROOF SEQUENCE
% fof(prove_ic_3,plain,(~is_a_theorem(implies(implies(implies(a,b),a),a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL083-1.tptp',unknown),[]).
%
% cnf(147367320,plain,(~is_a_theorem(implies(implies(implies(a,b),a),a))),inference(rewrite,[status(thm)],[prove_ic_3]),[]).
%
% 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/LCL083-1.tptp',unknown),[]).
%
% cnf(147358440,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(ic_JLukasiewicz,plain,(is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL083-1.tptp',unknown),[]).
%
% cnf(147363296,plain,(is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A))))),inference(rewrite,[status(thm)],[ic_JLukasiewicz]),[]).
%
% cnf(155245968,plain,(~is_a_theorem(implies(implies(implies(implies(B,C),D),implies(implies(D,B),implies(E,B))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[147358440,147363296]),[]).
%
% cnf(155227160,plain,(~is_a_theorem(implies(implies(A,B),C))|is_a_theorem(implies(implies(C,A),implies(D,A)))),inference(resolution,[status(thm)],[147358440,147363296]),[]).
%
% cnf(155186904,plain,(~is_a_theorem(A)|is_a_theorem(B)|~is_a_theorem(implies(C,implies(A,B)))|~is_a_theorem(C)),inference(resolution,[status(thm)],[147358440,147358440]),[]).
%
% cnf(155442712,plain,(~is_a_theorem(implies(C,A))|is_a_theorem(implies(D,A))|~is_a_theorem(implies(implies(A,B),C))),inference(resolution,[status(thm)],[155186904,147363296]),[]).
%
% cnf(156559488,plain,(~is_a_theorem(implies(implies(implies(A,C),implies(E,C)),implies(C,D)))|is_a_theorem(implies(B,implies(C,D)))),inference(resolution,[status(thm)],[155442712,147363296]),[]).
%
% cnf(155807672,plain,(is_a_theorem(implies(implies(implies(implies(A,C),implies(E,C)),implies(C,D)),implies(B,implies(C,D))))),inference(resolution,[status(thm)],[155227160,147363296]),[]).
%
% cnf(158616832,plain,(is_a_theorem(implies(A,implies(implies(D,B),implies(B,implies(D,B)))))),inference(resolution,[status(thm)],[156559488,155807672]),[]).
%
% cnf(158684448,plain,(is_a_theorem(implies(implies(G,E),implies(E,implies(G,E))))),inference(resolution,[status(thm)],[155245968,158616832]),[]).
%
% cnf(158727064,plain,(~is_a_theorem(implies(implies(implies(H,F),implies(F,implies(H,F))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[147358440,158684448]),[]).
%
% cnf(158747032,plain,(is_a_theorem(implies(implies(implies(B,implies(A,B)),A),implies(C,A)))),inference(resolution,[status(thm)],[155227160,158684448]),[]).
%
% cnf(158882480,plain,(is_a_theorem(implies(implies(implies(D,A),implies(C,implies(A,C))),implies(B,implies(C,implies(A,C)))))),inference(resolution,[status(thm)],[155227160,158747032]),[]).
%
% cnf(159814640,plain,(is_a_theorem(implies(G,implies(E,implies(E,E))))),inference(resolution,[status(thm)],[158727064,158882480]),[]).
%
% cnf(159933736,plain,(is_a_theorem(implies(implies(implies(H,implies(H,H)),A),implies(C,A)))),inference(resolution,[status(thm)],[155227160,159814640]),[]).
%
% cnf(160469472,plain,(is_a_theorem(implies(B,implies(implies(A,A),implies(C,implies(A,A)))))),inference(resolution,[status(thm)],[156559488,159933736]),[]).
%
% cnf(160578416,plain,(is_a_theorem(implies(implies(E,E),implies(F,implies(E,E))))),inference(resolution,[status(thm)],[155245968,160469472]),[]).
%
% cnf(160690880,plain,(~is_a_theorem(implies(implies(implies(F,F),implies(G,implies(F,F))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[147358440,160578416]),[]).
%
% cnf(160711912,plain,(is_a_theorem(implies(implies(implies(G,implies(A,A)),A),implies(B,A)))),inference(resolution,[status(thm)],[155227160,160578416]),[]).
%
% cnf(161086504,plain,(is_a_theorem(implies(implies(implies(C,A),implies(H,implies(A,A))),implies(B,implies(H,implies(A,A)))))),inference(resolution,[status(thm)],[155227160,160711912]),[]).
%
% cnf(177952352,plain,(is_a_theorem(implies(G,implies(F,implies(E,E))))),inference(resolution,[status(thm)],[160690880,161086504]),[]).
%
% cnf(178218960,plain,(is_a_theorem(implies(J,implies(I,I)))),inference(resolution,[status(thm)],[155245968,177952352]),[]).
%
% cnf(178480832,plain,(~is_a_theorem(A)|is_a_theorem(implies(J,J))),inference(resolution,[status(thm)],[147358440,178218960]),[]).
%
% cnf(178522880,plain,(is_a_theorem(implies(I,I))),inference(resolution,[status(thm)],[178480832,147363296]),[]).
%
% cnf(178779848,plain,(is_a_theorem(implies(implies(implies(A,B),A),implies(C,A)))),inference(resolution,[status(thm)],[155227160,178522880]),[]).
%
% cnf(180216544,plain,(~is_a_theorem(implies(implies(implies(implies(B,C),B),implies(D,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[147358440,178779848]),[]).
%
% cnf(180235792,plain,(is_a_theorem(implies(implies(implies(D,A),implies(A,C)),implies(B,implies(A,C))))),inference(resolution,[status(thm)],[155227160,178779848]),[]).
%
% cnf(183045872,plain,(is_a_theorem(implies(implies(implies(C,implies(B,D)),implies(E,B)),implies(A,implies(E,B))))),inference(resolution,[status(thm)],[155227160,180235792]),[]).
%
% cnf(193553448,plain,(is_a_theorem(implies(D,implies(implies(implies(implies(C,A),E),A),implies(C,A))))),inference(resolution,[status(thm)],[155245968,183045872]),[]).
%
% cnf(194028320,plain,(is_a_theorem(implies(implies(implies(implies(G,E),H),E),implies(G,E)))),inference(resolution,[status(thm)],[155245968,193553448]),[]).
%
% cnf(194452328,plain,(is_a_theorem(implies(implies(implies(H,A),implies(implies(H,A),I)),implies(B,implies(implies(H,A),I))))),inference(resolution,[status(thm)],[155227160,194028320]),[]).
%
% cnf(237651088,plain,(is_a_theorem(implies(C,implies(implies(implies(A,B),A),A)))),inference(resolution,[status(thm)],[180216544,194452328]),[]).
%
% cnf(240106232,plain,(is_a_theorem(implies(implies(implies(E,F),E),E))),inference(resolution,[status(thm)],[155245968,237651088]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[147367320,240106232]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------