TSTP Solution File: KRS111+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS111+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 13:27:48 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 15 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 94 ( 45 ~; 41 |; 8 &)
% ( 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 : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 43 ( 2 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_4,plain,
! [A,C] :
( ( ~ cpxcomp(A)
| ra_px1(A,y0_nn_1(A)) )
& ( cpxcomp(A)
| ~ ra_px1(A,C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),
[] ).
cnf(157753936,plain,
( ~ cpxcomp(A)
| ra_px1(A,y0_nn_1(A)) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
fof(axiom_3,plain,
! [A,B] :
( ( ~ cp(A)
| ~ ra_px1(A,B) )
& ( cp(A)
| ra_px1(A,y(A,B)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),
[] ).
cnf(157736840,plain,
( ~ cp(A)
| ~ ra_px1(A,B) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
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) )
& ( cpxcomp(y_nn_5(A))
| ~ cunsatisfiable(A) )
& ( cunsatisfiable(A)
| ~ rf1(A,E)
| ~ cpxcomp(E)
| ~ rs(A,F)
| ~ cowlthing(F)
| ~ rf(A,G)
| ~ cp(G) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),
[] ).
cnf(157705152,plain,
( cp(y_nn_3(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_11,plain,
cunsatisfiable(i2003_11_14_17_21_15425),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),
[] ).
cnf(157831776,plain,
cunsatisfiable(i2003_11_14_17_21_15425),
inference(rewrite,[status(thm)],[axiom_11]),
[] ).
cnf(163105088,plain,
cp(y_nn_3(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[157705152,157831776]),
[] ).
cnf(163231992,plain,
~ ra_px1(y_nn_3(i2003_11_14_17_21_15425),A),
inference(resolution,[status(thm)],[157736840,163105088]),
[] ).
cnf(163578104,plain,
~ cpxcomp(y_nn_3(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[157753936,163231992]),
[] ).
fof(cpxcomp_substitution_1,plain,
! [B,A] :
( ~ $equal(B,A)
| ~ cpxcomp(A)
| cpxcomp(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),
[] ).
cnf(157511656,plain,
( ~ $equal(B,A)
| ~ cpxcomp(A)
| cpxcomp(B) ),
inference(rewrite,[status(thm)],[cpxcomp_substitution_1]),
[] ).
fof(axiom_5,plain,
! [A,B,C] :
( ~ rf(A,B)
| ~ rf(A,C)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),
[] ).
cnf(157762344,plain,
( ~ rf(A,B)
| ~ rf(A,C)
| $equal(C,B) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(157712280,plain,
( rf(A,y_nn_3(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(163126176,plain,
rf(i2003_11_14_17_21_15425,y_nn_3(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[157712280,157831776]),
[] ).
cnf(163375776,plain,
( ~ rf(i2003_11_14_17_21_15425,A)
| $equal(y_nn_3(i2003_11_14_17_21_15425),A) ),
inference(resolution,[status(thm)],[157762344,163126176]),
[] ).
fof(axiom_12,plain,
! [A,B] :
( ~ rs(A,B)
| rf(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),
[] ).
cnf(157841392,plain,
( ~ rs(A,B)
| rf(A,B) ),
inference(rewrite,[status(thm)],[axiom_12]),
[] ).
cnf(157719360,plain,
( rs(A,y_nn_4(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(163143560,plain,
rs(i2003_11_14_17_21_15425,y_nn_4(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[157719360,157831776]),
[] ).
cnf(163399080,plain,
rf(i2003_11_14_17_21_15425,y_nn_4(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[157841392,163143560]),
[] ).
cnf(163530120,plain,
$equal(y_nn_3(i2003_11_14_17_21_15425),y_nn_4(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[163375776,163399080]),
[] ).
cnf(163630400,plain,
~ cpxcomp(y_nn_4(i2003_11_14_17_21_15425)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[163578104,157511656,163530120]),
[] ).
cnf(157686808,plain,
( cpxcomp(y_nn_5(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(163088280,plain,
cpxcomp(y_nn_5(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[157686808,157831776]),
[] ).
fof(axiom_6,plain,
! [A,B,C] :
( ~ rf1(A,B)
| ~ rf1(A,C)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),
[] ).
cnf(157770768,plain,
( ~ rf1(A,B)
| ~ rf1(A,C)
| $equal(C,B) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
cnf(157693968,plain,
( rf1(A,y_nn_5(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(163116144,plain,
rf1(i2003_11_14_17_21_15425,y_nn_5(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[157693968,157831776]),
[] ).
cnf(163319120,plain,
( ~ rf1(i2003_11_14_17_21_15425,A)
| $equal(A,y_nn_5(i2003_11_14_17_21_15425)) ),
inference(resolution,[status(thm)],[157770768,163116144]),
[] ).
fof(axiom_13,plain,
! [A,B] :
( ~ rs(A,B)
| rf1(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),
[] ).
cnf(157846696,plain,
( ~ rs(A,B)
| rf1(A,B) ),
inference(rewrite,[status(thm)],[axiom_13]),
[] ).
cnf(163406832,plain,
rf1(i2003_11_14_17_21_15425,y_nn_4(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[157846696,163143560]),
[] ).
cnf(163555968,plain,
$equal(y_nn_4(i2003_11_14_17_21_15425),y_nn_5(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[163319120,163406832]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[163630400,163088280,157511656,163555968]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_4,plain,(((~cpxcomp(A)|ra_px1(A,y0_nn_1(A)))&(cpxcomp(A)|~ra_px1(A,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),[]).
%
% cnf(157753936,plain,(~cpxcomp(A)|ra_px1(A,y0_nn_1(A))),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% fof(axiom_3,plain,(((~cp(A)|~ra_px1(A,B))&(cp(A)|ra_px1(A,y(A,B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),[]).
%
% cnf(157736840,plain,(~cp(A)|~ra_px1(A,B)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% 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))&(cpxcomp(y_nn_5(A))|~cunsatisfiable(A))&(cunsatisfiable(A)|~rf1(A,E)|~cpxcomp(E)|~rs(A,F)|~cowlthing(F)|~rf(A,G)|~cp(G)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),[]).
%
% cnf(157705152,plain,(cp(y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_11,plain,(cunsatisfiable(i2003_11_14_17_21_15425)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),[]).
%
% cnf(157831776,plain,(cunsatisfiable(i2003_11_14_17_21_15425)),inference(rewrite,[status(thm)],[axiom_11]),[]).
%
% cnf(163105088,plain,(cp(y_nn_3(i2003_11_14_17_21_15425))),inference(resolution,[status(thm)],[157705152,157831776]),[]).
%
% cnf(163231992,plain,(~ra_px1(y_nn_3(i2003_11_14_17_21_15425),A)),inference(resolution,[status(thm)],[157736840,163105088]),[]).
%
% cnf(163578104,plain,(~cpxcomp(y_nn_3(i2003_11_14_17_21_15425))),inference(resolution,[status(thm)],[157753936,163231992]),[]).
%
% fof(cpxcomp_substitution_1,plain,(~$equal(B,A)|~cpxcomp(A)|cpxcomp(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),[]).
%
% cnf(157511656,plain,(~$equal(B,A)|~cpxcomp(A)|cpxcomp(B)),inference(rewrite,[status(thm)],[cpxcomp_substitution_1]),[]).
%
% fof(axiom_5,plain,(~rf(A,B)|~rf(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),[]).
%
% cnf(157762344,plain,(~rf(A,B)|~rf(A,C)|$equal(C,B)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(157712280,plain,(rf(A,y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(163126176,plain,(rf(i2003_11_14_17_21_15425,y_nn_3(i2003_11_14_17_21_15425))),inference(resolution,[status(thm)],[157712280,157831776]),[]).
%
% cnf(163375776,plain,(~rf(i2003_11_14_17_21_15425,A)|$equal(y_nn_3(i2003_11_14_17_21_15425),A)),inference(resolution,[status(thm)],[157762344,163126176]),[]).
%
% fof(axiom_12,plain,(~rs(A,B)|rf(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),[]).
%
% cnf(157841392,plain,(~rs(A,B)|rf(A,B)),inference(rewrite,[status(thm)],[axiom_12]),[]).
%
% cnf(157719360,plain,(rs(A,y_nn_4(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(163143560,plain,(rs(i2003_11_14_17_21_15425,y_nn_4(i2003_11_14_17_21_15425))),inference(resolution,[status(thm)],[157719360,157831776]),[]).
%
% cnf(163399080,plain,(rf(i2003_11_14_17_21_15425,y_nn_4(i2003_11_14_17_21_15425))),inference(resolution,[status(thm)],[157841392,163143560]),[]).
%
% cnf(163530120,plain,($equal(y_nn_3(i2003_11_14_17_21_15425),y_nn_4(i2003_11_14_17_21_15425))),inference(resolution,[status(thm)],[163375776,163399080]),[]).
%
% cnf(163630400,plain,(~cpxcomp(y_nn_4(i2003_11_14_17_21_15425))),inference(forward_subsumption_resolution__resolution,[status(thm)],[163578104,157511656,163530120]),[]).
%
% cnf(157686808,plain,(cpxcomp(y_nn_5(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(163088280,plain,(cpxcomp(y_nn_5(i2003_11_14_17_21_15425))),inference(resolution,[status(thm)],[157686808,157831776]),[]).
%
% fof(axiom_6,plain,(~rf1(A,B)|~rf1(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),[]).
%
% cnf(157770768,plain,(~rf1(A,B)|~rf1(A,C)|$equal(C,B)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% cnf(157693968,plain,(rf1(A,y_nn_5(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(163116144,plain,(rf1(i2003_11_14_17_21_15425,y_nn_5(i2003_11_14_17_21_15425))),inference(resolution,[status(thm)],[157693968,157831776]),[]).
%
% cnf(163319120,plain,(~rf1(i2003_11_14_17_21_15425,A)|$equal(A,y_nn_5(i2003_11_14_17_21_15425))),inference(resolution,[status(thm)],[157770768,163116144]),[]).
%
% fof(axiom_13,plain,(~rs(A,B)|rf1(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS111+1.tptp',unknown),[]).
%
% cnf(157846696,plain,(~rs(A,B)|rf1(A,B)),inference(rewrite,[status(thm)],[axiom_13]),[]).
%
% cnf(163406832,plain,(rf1(i2003_11_14_17_21_15425,y_nn_4(i2003_11_14_17_21_15425))),inference(resolution,[status(thm)],[157846696,163143560]),[]).
%
% cnf(163555968,plain,($equal(y_nn_4(i2003_11_14_17_21_15425),y_nn_5(i2003_11_14_17_21_15425))),inference(resolution,[status(thm)],[163319120,163406832]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[163630400,163088280,157511656,163555968]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------