%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS069+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:26:00 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 14 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 91 ( 44 ~; 41 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 43 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_4,plain,
! [A,B,C] :
( ~ rf2(A,B)
| ~ rf2(A,C)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS069+1.tptp',unknown),
[] ).
cnf(144258584,plain,
( ~ rf2(A,B)
| ~ rf2(A,C)
| $equal(C,B) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
fof(axiom_8,plain,
! [A,B] :
( ~ rf3(A,B)
| rf2(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS069+1.tptp',unknown),
[] ).
cnf(144281272,plain,
( ~ rf3(A,B)
| rf2(A,B) ),
inference(rewrite,[status(thm)],[axiom_8]),
[] ).
fof(rf3_substitution_2,plain,
! [B,A,C] :
( ~ $equal(B,A)
| ~ rf3(C,A)
| rf3(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS069+1.tptp',unknown),
[] ).
cnf(144121168,plain,
( ~ $equal(B,A)
| ~ rf3(C,A)
| rf3(C,B) ),
inference(rewrite,[status(thm)],[rf3_substitution_2]),
[] ).
fof(axiom_3,plain,
! [A,B,C] :
( ~ rf1(A,B)
| ~ rf1(A,C)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS069+1.tptp',unknown),
[] ).
cnf(144246256,plain,
( ~ rf1(A,B)
| ~ rf1(A,C)
| $equal(C,B) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
fof(axiom_2,plain,
! [A,E,F,G] :
( ( rf2(A,y_nn_4(A))
| ~ cunsatisfiable(A) )
& ( ~ cp1(y_nn_4(A))
| ~ cunsatisfiable(A) )
& ( rf3(A,y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( cp2(y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( rf1(A,y_nn_5(A))
| ~ cunsatisfiable(A) )
& ( cp1(y_nn_5(A))
| ~ cunsatisfiable(A) )
& ( cunsatisfiable(A)
| ~ rf1(A,E)
| ~ cp1(E)
| ~ rf2(A,F)
| cp1(F)
| ~ rf3(A,G)
| ~ cp2(G) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS069+1.tptp',unknown),
[] ).
cnf(144206832,plain,
( rf1(A,y_nn_5(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_6,plain,
cunsatisfiable(i2003_11_14_17_18_2750),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS069+1.tptp',unknown),
[] ).
cnf(144270808,plain,
cunsatisfiable(i2003_11_14_17_18_2750),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
cnf(149512928,plain,
rf1(i2003_11_14_17_18_2750,y_nn_5(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[144206832,144270808]),
[] ).
cnf(149680496,plain,
( ~ rf1(i2003_11_14_17_18_2750,A)
| $equal(y_nn_5(i2003_11_14_17_18_2750),A) ),
inference(resolution,[status(thm)],[144246256,149512928]),
[] ).
fof(axiom_7,plain,
! [A,B] :
( ~ rf3(A,B)
| rf1(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS069+1.tptp',unknown),
[] ).
cnf(144276192,plain,
( ~ rf3(A,B)
| rf1(A,B) ),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(144224536,plain,
( rf3(A,y_nn_3(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(149526856,plain,
rf3(i2003_11_14_17_18_2750,y_nn_3(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[144224536,144270808]),
[] ).
cnf(149689008,plain,
rf1(i2003_11_14_17_18_2750,y_nn_3(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[144276192,149526856]),
[] ).
cnf(149820768,plain,
$equal(y_nn_5(i2003_11_14_17_18_2750),y_nn_3(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[149680496,149689008]),
[] ).
cnf(149973728,plain,
( ~ rf3(A,y_nn_3(i2003_11_14_17_18_2750))
| rf3(A,y_nn_5(i2003_11_14_17_18_2750)) ),
inference(resolution,[status(thm)],[144121168,149820768]),
[] ).
cnf(149981368,plain,
rf3(i2003_11_14_17_18_2750,y_nn_5(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[149973728,149526856]),
[] ).
cnf(150005704,plain,
rf2(i2003_11_14_17_18_2750,y_nn_5(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[144281272,149981368]),
[] ).
cnf(150028256,plain,
( ~ rf2(i2003_11_14_17_18_2750,A)
| $equal(A,y_nn_5(i2003_11_14_17_18_2750)) ),
inference(resolution,[status(thm)],[144258584,150005704]),
[] ).
cnf(144237800,plain,
( rf2(A,y_nn_4(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(149552944,plain,
rf2(i2003_11_14_17_18_2750,y_nn_4(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[144237800,144270808]),
[] ).
cnf(150036288,plain,
$equal(y_nn_4(i2003_11_14_17_18_2750),y_nn_5(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[150028256,149552944]),
[] ).
fof(cp1_substitution_1,plain,
! [B,A] :
( ~ $equal(B,A)
| ~ cp1(A)
| cp1(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS069+1.tptp',unknown),
[] ).
cnf(144073568,plain,
( ~ $equal(B,A)
| ~ cp1(A)
| cp1(B) ),
inference(rewrite,[status(thm)],[cp1_substitution_1]),
[] ).
cnf(144199992,plain,
( cp1(y_nn_5(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(149489696,plain,
cp1(y_nn_5(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[144199992,144270808]),
[] ).
cnf(149588632,plain,
( ~ $equal(A,y_nn_5(i2003_11_14_17_18_2750))
| cp1(A) ),
inference(resolution,[status(thm)],[144073568,149489696]),
[] ).
cnf(144231280,plain,
( ~ cp1(y_nn_4(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(149543264,plain,
~ cp1(y_nn_4(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[144231280,144270808]),
[] ).
cnf(149758384,plain,
~ $equal(y_nn_4(i2003_11_14_17_18_2750),y_nn_5(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[149588632,149543264]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[150036288,149758384]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_4,plain,(~rf2(A,B)|~rf2(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS069+1.tptp',unknown),[]).
%
% cnf(144258584,plain,(~rf2(A,B)|~rf2(A,C)|$equal(C,B)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% fof(axiom_8,plain,(~rf3(A,B)|rf2(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS069+1.tptp',unknown),[]).
%
% cnf(144281272,plain,(~rf3(A,B)|rf2(A,B)),inference(rewrite,[status(thm)],[axiom_8]),[]).
%
% fof(rf3_substitution_2,plain,(~$equal(B,A)|~rf3(C,A)|rf3(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS069+1.tptp',unknown),[]).
%
% cnf(144121168,plain,(~$equal(B,A)|~rf3(C,A)|rf3(C,B)),inference(rewrite,[status(thm)],[rf3_substitution_2]),[]).
%
% fof(axiom_3,plain,(~rf1(A,B)|~rf1(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS069+1.tptp',unknown),[]).
%
% cnf(144246256,plain,(~rf1(A,B)|~rf1(A,C)|$equal(C,B)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% fof(axiom_2,plain,(((rf2(A,y_nn_4(A))|~cunsatisfiable(A))&(~cp1(y_nn_4(A))|~cunsatisfiable(A))&(rf3(A,y_nn_3(A))|~cunsatisfiable(A))&(cp2(y_nn_3(A))|~cunsatisfiable(A))&(rf1(A,y_nn_5(A))|~cunsatisfiable(A))&(cp1(y_nn_5(A))|~cunsatisfiable(A))&(cunsatisfiable(A)|~rf1(A,E)|~cp1(E)|~rf2(A,F)|cp1(F)|~rf3(A,G)|~cp2(G)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS069+1.tptp',unknown),[]).
%
% cnf(144206832,plain,(rf1(A,y_nn_5(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_6,plain,(cunsatisfiable(i2003_11_14_17_18_2750)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS069+1.tptp',unknown),[]).
%
% cnf(144270808,plain,(cunsatisfiable(i2003_11_14_17_18_2750)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% cnf(149512928,plain,(rf1(i2003_11_14_17_18_2750,y_nn_5(i2003_11_14_17_18_2750))),inference(resolution,[status(thm)],[144206832,144270808]),[]).
%
% cnf(149680496,plain,(~rf1(i2003_11_14_17_18_2750,A)|$equal(y_nn_5(i2003_11_14_17_18_2750),A)),inference(resolution,[status(thm)],[144246256,149512928]),[]).
%
% fof(axiom_7,plain,(~rf3(A,B)|rf1(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS069+1.tptp',unknown),[]).
%
% cnf(144276192,plain,(~rf3(A,B)|rf1(A,B)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(144224536,plain,(rf3(A,y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(149526856,plain,(rf3(i2003_11_14_17_18_2750,y_nn_3(i2003_11_14_17_18_2750))),inference(resolution,[status(thm)],[144224536,144270808]),[]).
%
% cnf(149689008,plain,(rf1(i2003_11_14_17_18_2750,y_nn_3(i2003_11_14_17_18_2750))),inference(resolution,[status(thm)],[144276192,149526856]),[]).
%
% cnf(149820768,plain,($equal(y_nn_5(i2003_11_14_17_18_2750),y_nn_3(i2003_11_14_17_18_2750))),inference(resolution,[status(thm)],[149680496,149689008]),[]).
%
% cnf(149973728,plain,(~rf3(A,y_nn_3(i2003_11_14_17_18_2750))|rf3(A,y_nn_5(i2003_11_14_17_18_2750))),inference(resolution,[status(thm)],[144121168,149820768]),[]).
%
% cnf(149981368,plain,(rf3(i2003_11_14_17_18_2750,y_nn_5(i2003_11_14_17_18_2750))),inference(resolution,[status(thm)],[149973728,149526856]),[]).
%
% cnf(150005704,plain,(rf2(i2003_11_14_17_18_2750,y_nn_5(i2003_11_14_17_18_2750))),inference(resolution,[status(thm)],[144281272,149981368]),[]).
%
% cnf(150028256,plain,(~rf2(i2003_11_14_17_18_2750,A)|$equal(A,y_nn_5(i2003_11_14_17_18_2750))),inference(resolution,[status(thm)],[144258584,150005704]),[]).
%
% cnf(144237800,plain,(rf2(A,y_nn_4(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(149552944,plain,(rf2(i2003_11_14_17_18_2750,y_nn_4(i2003_11_14_17_18_2750))),inference(resolution,[status(thm)],[144237800,144270808]),[]).
%
% cnf(150036288,plain,($equal(y_nn_4(i2003_11_14_17_18_2750),y_nn_5(i2003_11_14_17_18_2750))),inference(resolution,[status(thm)],[150028256,149552944]),[]).
%
% fof(cp1_substitution_1,plain,(~$equal(B,A)|~cp1(A)|cp1(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS069+1.tptp',unknown),[]).
%
% cnf(144073568,plain,(~$equal(B,A)|~cp1(A)|cp1(B)),inference(rewrite,[status(thm)],[cp1_substitution_1]),[]).
%
% cnf(144199992,plain,(cp1(y_nn_5(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(149489696,plain,(cp1(y_nn_5(i2003_11_14_17_18_2750))),inference(resolution,[status(thm)],[144199992,144270808]),[]).
%
% cnf(149588632,plain,(~$equal(A,y_nn_5(i2003_11_14_17_18_2750))|cp1(A)),inference(resolution,[status(thm)],[144073568,149489696]),[]).
%
% cnf(144231280,plain,(~cp1(y_nn_4(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(149543264,plain,(~cp1(y_nn_4(i2003_11_14_17_18_2750))),inference(resolution,[status(thm)],[144231280,144270808]),[]).
%
% cnf(149758384,plain,(~$equal(y_nn_4(i2003_11_14_17_18_2750),y_nn_5(i2003_11_14_17_18_2750))),inference(resolution,[status(thm)],[149588632,149543264]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[150036288,149758384]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------