TSTP Solution File: KRS079+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS079+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 13:26:26 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 90 ( 44 ~; 39 |; 7 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 39 ( 1 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_3,plain,
! [A] :
( ~ cp1(A)
| ~ cp2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),
[] ).
cnf(171885472,plain,
( ~ cp1(A)
| ~ cp2(A) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
fof(axiom_2,plain,
! [A,E,F,G] :
( ( rf1(A,y_nn_4(A))
| ~ cunsatisfiable(A) )
& ( cp1(y_nn_4(A))
| ~ cunsatisfiable(A) )
& ( rr(A,y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( cowlthing(y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( rf2(A,y_nn_5(A))
| ~ cunsatisfiable(A) )
& ( cp2(y_nn_5(A))
| ~ cunsatisfiable(A) )
& ( cunsatisfiable(A)
| ~ rf2(A,E)
| ~ cp2(E)
| ~ rf1(A,F)
| ~ cp1(F)
| ~ rr(A,G)
| ~ cowlthing(G) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),
[] ).
cnf(171867616,plain,
( cp1(y_nn_4(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_6,plain,
cunsatisfiable(i2003_11_14_17_19_17492),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),
[] ).
cnf(171910224,plain,
cunsatisfiable(i2003_11_14_17_19_17492),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
cnf(177142936,plain,
cp1(y_nn_4(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[171867616,171910224]),
[] ).
cnf(177258512,plain,
~ cp2(y_nn_4(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[171885472,177142936]),
[] ).
fof(cp2_substitution_1,plain,
! [B,A] :
( ~ $equal(B,A)
| ~ cp2(A)
| cp2(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),
[] ).
cnf(171730144,plain,
( ~ $equal(B,A)
| ~ cp2(A)
| cp2(B) ),
inference(rewrite,[status(thm)],[cp2_substitution_1]),
[] ).
fof(axiom_4,plain,
! [A,B,C] :
( ~ cowlthing(A)
| ~ rf1(A,B)
| ~ rf1(A,C)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),
[] ).
fof(axiom_0,plain,
! [A] :
( cowlthing(A)
& ~ cowlnothing(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),
[] ).
cnf(171805400,plain,
cowlthing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(171893952,plain,
( ~ rf1(A,B)
| ~ rf1(A,C)
| $equal(C,B) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_4,171805400]),
[] ).
cnf(171878512,plain,
( rf1(A,y_nn_4(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(177180768,plain,
rf1(i2003_11_14_17_19_17492,y_nn_4(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[171878512,171910224]),
[] ).
cnf(177434472,plain,
( ~ rf1(i2003_11_14_17_19_17492,A)
| $equal(y_nn_4(i2003_11_14_17_19_17492),A) ),
inference(resolution,[status(thm)],[171893952,177180768]),
[] ).
fof(axiom_7,plain,
! [A,B] :
( ~ rr(A,B)
| rf1(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),
[] ).
cnf(171917064,plain,
( ~ rr(A,B)
| rf1(A,B) ),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(171860872,plain,
( rr(A,y_nn_3(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(177166808,plain,
rr(i2003_11_14_17_19_17492,y_nn_3(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[171860872,171910224]),
[] ).
cnf(177352560,plain,
rf1(i2003_11_14_17_19_17492,y_nn_3(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[171917064,177166808]),
[] ).
cnf(177480192,plain,
$equal(y_nn_4(i2003_11_14_17_19_17492),y_nn_3(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[177434472,177352560]),
[] ).
cnf(177547840,plain,
~ cp2(y_nn_3(i2003_11_14_17_19_17492)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[177258512,171730144,177480192]),
[] ).
cnf(171847208,plain,
( cp2(y_nn_5(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(177130504,plain,
cp2(y_nn_5(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[171847208,171910224]),
[] ).
fof(axiom_5,plain,
! [A,B,C] :
( ~ cowlthing(A)
| ~ rf2(A,B)
| ~ rf2(A,C)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),
[] ).
cnf(171906296,plain,
( ~ rf2(A,B)
| ~ rf2(A,C)
| $equal(C,B) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_5,171805400]),
[] ).
cnf(171854048,plain,
( rf2(A,y_nn_5(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(177153704,plain,
rf2(i2003_11_14_17_19_17492,y_nn_5(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[171854048,171910224]),
[] ).
cnf(177330136,plain,
( ~ rf2(i2003_11_14_17_19_17492,A)
| $equal(A,y_nn_5(i2003_11_14_17_19_17492)) ),
inference(resolution,[status(thm)],[171906296,177153704]),
[] ).
fof(axiom_8,plain,
! [A,B] :
( ~ rr(A,B)
| rf2(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),
[] ).
cnf(171922192,plain,
( ~ rr(A,B)
| rf2(A,B) ),
inference(rewrite,[status(thm)],[axiom_8]),
[] ).
cnf(177360232,plain,
rf2(i2003_11_14_17_19_17492,y_nn_3(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[171922192,177166808]),
[] ).
cnf(177501768,plain,
$equal(y_nn_3(i2003_11_14_17_19_17492),y_nn_5(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[177330136,177360232]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[177547840,177130504,171730144,177501768]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_3,plain,(~cp1(A)|~cp2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),[]).
%
% cnf(171885472,plain,(~cp1(A)|~cp2(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% fof(axiom_2,plain,(((rf1(A,y_nn_4(A))|~cunsatisfiable(A))&(cp1(y_nn_4(A))|~cunsatisfiable(A))&(rr(A,y_nn_3(A))|~cunsatisfiable(A))&(cowlthing(y_nn_3(A))|~cunsatisfiable(A))&(rf2(A,y_nn_5(A))|~cunsatisfiable(A))&(cp2(y_nn_5(A))|~cunsatisfiable(A))&(cunsatisfiable(A)|~rf2(A,E)|~cp2(E)|~rf1(A,F)|~cp1(F)|~rr(A,G)|~cowlthing(G)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),[]).
%
% cnf(171867616,plain,(cp1(y_nn_4(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_6,plain,(cunsatisfiable(i2003_11_14_17_19_17492)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),[]).
%
% cnf(171910224,plain,(cunsatisfiable(i2003_11_14_17_19_17492)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% cnf(177142936,plain,(cp1(y_nn_4(i2003_11_14_17_19_17492))),inference(resolution,[status(thm)],[171867616,171910224]),[]).
%
% cnf(177258512,plain,(~cp2(y_nn_4(i2003_11_14_17_19_17492))),inference(resolution,[status(thm)],[171885472,177142936]),[]).
%
% fof(cp2_substitution_1,plain,(~$equal(B,A)|~cp2(A)|cp2(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),[]).
%
% cnf(171730144,plain,(~$equal(B,A)|~cp2(A)|cp2(B)),inference(rewrite,[status(thm)],[cp2_substitution_1]),[]).
%
% fof(axiom_4,plain,(~cowlthing(A)|~rf1(A,B)|~rf1(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),[]).
%
% fof(axiom_0,plain,((cowlthing(A)&~cowlnothing(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),[]).
%
% cnf(171805400,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(171893952,plain,(~rf1(A,B)|~rf1(A,C)|$equal(C,B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_4,171805400]),[]).
%
% cnf(171878512,plain,(rf1(A,y_nn_4(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(177180768,plain,(rf1(i2003_11_14_17_19_17492,y_nn_4(i2003_11_14_17_19_17492))),inference(resolution,[status(thm)],[171878512,171910224]),[]).
%
% cnf(177434472,plain,(~rf1(i2003_11_14_17_19_17492,A)|$equal(y_nn_4(i2003_11_14_17_19_17492),A)),inference(resolution,[status(thm)],[171893952,177180768]),[]).
%
% fof(axiom_7,plain,(~rr(A,B)|rf1(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),[]).
%
% cnf(171917064,plain,(~rr(A,B)|rf1(A,B)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(171860872,plain,(rr(A,y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(177166808,plain,(rr(i2003_11_14_17_19_17492,y_nn_3(i2003_11_14_17_19_17492))),inference(resolution,[status(thm)],[171860872,171910224]),[]).
%
% cnf(177352560,plain,(rf1(i2003_11_14_17_19_17492,y_nn_3(i2003_11_14_17_19_17492))),inference(resolution,[status(thm)],[171917064,177166808]),[]).
%
% cnf(177480192,plain,($equal(y_nn_4(i2003_11_14_17_19_17492),y_nn_3(i2003_11_14_17_19_17492))),inference(resolution,[status(thm)],[177434472,177352560]),[]).
%
% cnf(177547840,plain,(~cp2(y_nn_3(i2003_11_14_17_19_17492))),inference(forward_subsumption_resolution__resolution,[status(thm)],[177258512,171730144,177480192]),[]).
%
% cnf(171847208,plain,(cp2(y_nn_5(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(177130504,plain,(cp2(y_nn_5(i2003_11_14_17_19_17492))),inference(resolution,[status(thm)],[171847208,171910224]),[]).
%
% fof(axiom_5,plain,(~cowlthing(A)|~rf2(A,B)|~rf2(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),[]).
%
% cnf(171906296,plain,(~rf2(A,B)|~rf2(A,C)|$equal(C,B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_5,171805400]),[]).
%
% cnf(171854048,plain,(rf2(A,y_nn_5(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(177153704,plain,(rf2(i2003_11_14_17_19_17492,y_nn_5(i2003_11_14_17_19_17492))),inference(resolution,[status(thm)],[171854048,171910224]),[]).
%
% cnf(177330136,plain,(~rf2(i2003_11_14_17_19_17492,A)|$equal(A,y_nn_5(i2003_11_14_17_19_17492))),inference(resolution,[status(thm)],[171906296,177153704]),[]).
%
% fof(axiom_8,plain,(~rr(A,B)|rf2(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS079+1.tptp',unknown),[]).
%
% cnf(171922192,plain,(~rr(A,B)|rf2(A,B)),inference(rewrite,[status(thm)],[axiom_8]),[]).
%
% cnf(177360232,plain,(rf2(i2003_11_14_17_19_17492,y_nn_3(i2003_11_14_17_19_17492))),inference(resolution,[status(thm)],[171922192,177166808]),[]).
%
% cnf(177501768,plain,($equal(y_nn_3(i2003_11_14_17_19_17492),y_nn_5(i2003_11_14_17_19_17492))),inference(resolution,[status(thm)],[177330136,177360232]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[177547840,177130504,171730144,177501768]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------