%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS075+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 13:26:15 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 13 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 83 ( 40 ~; 37 |; 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 : 37 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_4,plain,
! [A,B,C] :
( ~ rf1(A,B)
| ~ rf1(A,C)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS075+1.tptp',unknown),
[] ).
cnf(174407184,plain,
( ~ rf1(A,B)
| ~ rf1(A,C)
| $equal(C,B) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
fof(axiom_10,plain,
! [A,B] :
( ~ rs(A,B)
| rf1(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS075+1.tptp',unknown),
[] ).
cnf(174477016,plain,
( ~ rs(A,B)
| rf1(A,B) ),
inference(rewrite,[status(thm)],[axiom_10]),
[] ).
fof(axiom_2,plain,
! [A,E,F,G] :
( ( rs(A,y_nn_4(A))
| ~ cunsatisfiable(A) )
& ( cowlthing(y_nn_4(A))
| ~ cunsatisfiable(A) )
& ( rf(A,y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( cp(y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( rf1(A,y_nn_5(A))
| ~ cunsatisfiable(A) )
& ( ~ cp(y_nn_5(A))
| ~ cunsatisfiable(A) )
& ( cunsatisfiable(A)
| ~ rf1(A,E)
| cp(E)
| ~ rs(A,F)
| ~ cowlthing(F)
| ~ rf(A,G)
| ~ cp(G) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS075+1.tptp',unknown),
[] ).
cnf(174386144,plain,
( rs(A,y_nn_4(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_9,plain,
cunsatisfiable(i2003_11_14_17_19_02584),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS075+1.tptp',unknown),
[] ).
cnf(174471624,plain,
cunsatisfiable(i2003_11_14_17_19_02584),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(179750824,plain,
rs(i2003_11_14_17_19_02584,y_nn_4(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[174386144,174471624]),
[] ).
cnf(179995672,plain,
rf1(i2003_11_14_17_19_02584,y_nn_4(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[174477016,179750824]),
[] ).
cnf(180149336,plain,
( ~ rf1(i2003_11_14_17_19_02584,A)
| $equal(A,y_nn_4(i2003_11_14_17_19_02584)) ),
inference(resolution,[status(thm)],[174407184,179995672]),
[] ).
cnf(174361616,plain,
( rf1(A,y_nn_5(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(179731424,plain,
rf1(i2003_11_14_17_19_02584,y_nn_5(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[174361616,174471624]),
[] ).
cnf(180176944,plain,
$equal(y_nn_5(i2003_11_14_17_19_02584),y_nn_4(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[180149336,179731424]),
[] ).
fof(axiom_3,plain,
! [A,B,C] :
( ~ rf(A,B)
| ~ rf(A,C)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS075+1.tptp',unknown),
[] ).
cnf(174398872,plain,
( ~ rf(A,B)
| ~ rf(A,C)
| $equal(C,B) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
fof(axiom_11,plain,
! [A,B] :
( ~ rs(A,B)
| rf(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS075+1.tptp',unknown),
[] ).
cnf(174482160,plain,
( ~ rs(A,B)
| rf(A,B) ),
inference(rewrite,[status(thm)],[axiom_11]),
[] ).
cnf(180003392,plain,
rf(i2003_11_14_17_19_02584,y_nn_4(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[174482160,179750824]),
[] ).
cnf(180209136,plain,
( ~ rf(i2003_11_14_17_19_02584,A)
| $equal(y_nn_4(i2003_11_14_17_19_02584),A) ),
inference(resolution,[status(thm)],[174398872,180003392]),
[] ).
cnf(174379192,plain,
( rf(A,y_nn_3(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(179741328,plain,
rf(i2003_11_14_17_19_02584,y_nn_3(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[174379192,174471624]),
[] ).
cnf(180227736,plain,
$equal(y_nn_4(i2003_11_14_17_19_02584),y_nn_3(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[180209136,179741328]),
[] ).
fof(cp_substitution_1,plain,
! [B,A] :
( ~ $equal(B,A)
| ~ cp(A)
| cp(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS075+1.tptp',unknown),
[] ).
cnf(174204560,plain,
( ~ $equal(B,A)
| ~ cp(A)
| cp(B) ),
inference(rewrite,[status(thm)],[cp_substitution_1]),
[] ).
cnf(174372640,plain,
( cp(y_nn_3(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(179704184,plain,
cp(y_nn_3(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[174372640,174471624]),
[] ).
cnf(179794568,plain,
( ~ $equal(A,y_nn_3(i2003_11_14_17_19_02584))
| cp(A) ),
inference(resolution,[status(thm)],[174204560,179704184]),
[] ).
cnf(183099712,plain,
cp(y_nn_4(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[180227736,179794568]),
[] ).
cnf(174354616,plain,
( ~ cp(y_nn_5(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(179720880,plain,
~ cp(y_nn_5(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[174354616,174471624]),
[] ).
cnf(179828112,plain,
( ~ $equal(y_nn_5(i2003_11_14_17_19_02584),A)
| ~ cp(A) ),
inference(resolution,[status(thm)],[174204560,179720880]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[180176944,183099712,179828112]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_4,plain,(~rf1(A,B)|~rf1(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS075+1.tptp',unknown),[]).
%
% cnf(174407184,plain,(~rf1(A,B)|~rf1(A,C)|$equal(C,B)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% fof(axiom_10,plain,(~rs(A,B)|rf1(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS075+1.tptp',unknown),[]).
%
% cnf(174477016,plain,(~rs(A,B)|rf1(A,B)),inference(rewrite,[status(thm)],[axiom_10]),[]).
%
% fof(axiom_2,plain,(((rs(A,y_nn_4(A))|~cunsatisfiable(A))&(cowlthing(y_nn_4(A))|~cunsatisfiable(A))&(rf(A,y_nn_3(A))|~cunsatisfiable(A))&(cp(y_nn_3(A))|~cunsatisfiable(A))&(rf1(A,y_nn_5(A))|~cunsatisfiable(A))&(~cp(y_nn_5(A))|~cunsatisfiable(A))&(cunsatisfiable(A)|~rf1(A,E)|cp(E)|~rs(A,F)|~cowlthing(F)|~rf(A,G)|~cp(G)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS075+1.tptp',unknown),[]).
%
% cnf(174386144,plain,(rs(A,y_nn_4(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_9,plain,(cunsatisfiable(i2003_11_14_17_19_02584)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS075+1.tptp',unknown),[]).
%
% cnf(174471624,plain,(cunsatisfiable(i2003_11_14_17_19_02584)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(179750824,plain,(rs(i2003_11_14_17_19_02584,y_nn_4(i2003_11_14_17_19_02584))),inference(resolution,[status(thm)],[174386144,174471624]),[]).
%
% cnf(179995672,plain,(rf1(i2003_11_14_17_19_02584,y_nn_4(i2003_11_14_17_19_02584))),inference(resolution,[status(thm)],[174477016,179750824]),[]).
%
% cnf(180149336,plain,(~rf1(i2003_11_14_17_19_02584,A)|$equal(A,y_nn_4(i2003_11_14_17_19_02584))),inference(resolution,[status(thm)],[174407184,179995672]),[]).
%
% cnf(174361616,plain,(rf1(A,y_nn_5(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(179731424,plain,(rf1(i2003_11_14_17_19_02584,y_nn_5(i2003_11_14_17_19_02584))),inference(resolution,[status(thm)],[174361616,174471624]),[]).
%
% cnf(180176944,plain,($equal(y_nn_5(i2003_11_14_17_19_02584),y_nn_4(i2003_11_14_17_19_02584))),inference(resolution,[status(thm)],[180149336,179731424]),[]).
%
% fof(axiom_3,plain,(~rf(A,B)|~rf(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS075+1.tptp',unknown),[]).
%
% cnf(174398872,plain,(~rf(A,B)|~rf(A,C)|$equal(C,B)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% fof(axiom_11,plain,(~rs(A,B)|rf(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS075+1.tptp',unknown),[]).
%
% cnf(174482160,plain,(~rs(A,B)|rf(A,B)),inference(rewrite,[status(thm)],[axiom_11]),[]).
%
% cnf(180003392,plain,(rf(i2003_11_14_17_19_02584,y_nn_4(i2003_11_14_17_19_02584))),inference(resolution,[status(thm)],[174482160,179750824]),[]).
%
% cnf(180209136,plain,(~rf(i2003_11_14_17_19_02584,A)|$equal(y_nn_4(i2003_11_14_17_19_02584),A)),inference(resolution,[status(thm)],[174398872,180003392]),[]).
%
% cnf(174379192,plain,(rf(A,y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(179741328,plain,(rf(i2003_11_14_17_19_02584,y_nn_3(i2003_11_14_17_19_02584))),inference(resolution,[status(thm)],[174379192,174471624]),[]).
%
% cnf(180227736,plain,($equal(y_nn_4(i2003_11_14_17_19_02584),y_nn_3(i2003_11_14_17_19_02584))),inference(resolution,[status(thm)],[180209136,179741328]),[]).
%
% fof(cp_substitution_1,plain,(~$equal(B,A)|~cp(A)|cp(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS075+1.tptp',unknown),[]).
%
% cnf(174204560,plain,(~$equal(B,A)|~cp(A)|cp(B)),inference(rewrite,[status(thm)],[cp_substitution_1]),[]).
%
% cnf(174372640,plain,(cp(y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(179704184,plain,(cp(y_nn_3(i2003_11_14_17_19_02584))),inference(resolution,[status(thm)],[174372640,174471624]),[]).
%
% cnf(179794568,plain,(~$equal(A,y_nn_3(i2003_11_14_17_19_02584))|cp(A)),inference(resolution,[status(thm)],[174204560,179704184]),[]).
%
% cnf(183099712,plain,(cp(y_nn_4(i2003_11_14_17_19_02584))),inference(resolution,[status(thm)],[180227736,179794568]),[]).
%
% cnf(174354616,plain,(~cp(y_nn_5(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(179720880,plain,(~cp(y_nn_5(i2003_11_14_17_19_02584))),inference(resolution,[status(thm)],[174354616,174471624]),[]).
%
% cnf(179828112,plain,(~$equal(y_nn_5(i2003_11_14_17_19_02584),A)|~cp(A)),inference(resolution,[status(thm)],[174204560,179720880]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[180176944,183099712,179828112]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------