TSTP Solution File: KRS099+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS099+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:27:17 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 221 ( 0 equ)
% Maximal formula atoms : 203 ( 18 avg)
% Number of connectives : 309 ( 100 ~; 183 |; 26 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-9 aty)
% Number of variables : 16 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_5,plain,
cunsatisfiable(i2003_11_14_17_20_29215),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS099+1.tptp',unknown),
[] ).
cnf(169961392,plain,
cunsatisfiable(i2003_11_14_17_20_29215),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
fof(axiom_2,plain,
! [A,E,F,G,H,I,J,K,L] :
( ( ~ rtt(A,E)
| ca(E)
| ~ cunsatisfiable(A) )
& ( ~ rtt(A,F)
| ~ rtt(A,G)
| $equal(G,F)
| ~ cunsatisfiable(A) )
& ( ~ rtt(A,H)
| ~ rtt(A,I)
| $equal(I,H)
| ~ cunsatisfiable(A) )
& ( rtt(A,y0_nn_5(A))
| ~ cunsatisfiable(A) )
& ( rtt(A,y1_nn_10(A))
| ~ cunsatisfiable(A) )
& ( rtt(A,y2_nn_12(A))
| ~ cunsatisfiable(A) )
& ( ~ $equal(y1_nn_10(A),y0_nn_5(A))
| ~ cunsatisfiable(A) )
& ( ~ $equal(y2_nn_12(A),y0_nn_5(A))
| ~ cunsatisfiable(A) )
& ( ~ $equal(y2_nn_12(A),y1_nn_10(A))
| ~ cunsatisfiable(A) )
& ( ~ $equal(y1(A,E,F,G,H,I,J,K,L),y0(A,E,F,G,H,I,J,K,L))
| ~ $equal(y1_nn_6(A,E,F,G,H,I,J,K,L),y0_nn_1(A,E,F,G,H,I,J,K,L))
| rtt(A,y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) )
& ( rtt(A,y0(A,E,F,G,H,I,J,K,L))
| ~ $equal(y1_nn_6(A,E,F,G,H,I,J,K,L),y0_nn_1(A,E,F,G,H,I,J,K,L))
| rtt(A,y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) )
& ( rtt(A,y1(A,E,F,G,H,I,J,K,L))
| ~ $equal(y1_nn_6(A,E,F,G,H,I,J,K,L),y0_nn_1(A,E,F,G,H,I,J,K,L))
| rtt(A,y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) )
& ( ~ $equal(y1(A,E,F,G,H,I,J,K,L),y0(A,E,F,G,H,I,J,K,L))
| rtt(A,y0_nn_1(A,E,F,G,H,I,J,K,L))
| rtt(A,y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) )
& ( rtt(A,y0(A,E,F,G,H,I,J,K,L))
| rtt(A,y0_nn_1(A,E,F,G,H,I,J,K,L))
| rtt(A,y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) )
& ( rtt(A,y1(A,E,F,G,H,I,J,K,L))
| rtt(A,y0_nn_1(A,E,F,G,H,I,J,K,L))
| rtt(A,y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) )
& ( ~ $equal(y1(A,E,F,G,H,I,J,K,L),y0(A,E,F,G,H,I,J,K,L))
| rtt(A,y1_nn_6(A,E,F,G,H,I,J,K,L))
| rtt(A,y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) )
& ( rtt(A,y0(A,E,F,G,H,I,J,K,L))
| rtt(A,y1_nn_6(A,E,F,G,H,I,J,K,L))
| rtt(A,y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) )
& ( rtt(A,y1(A,E,F,G,H,I,J,K,L))
| rtt(A,y1_nn_6(A,E,F,G,H,I,J,K,L))
| rtt(A,y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) )
& ( ~ $equal(y1(A,E,F,G,H,I,J,K,L),y0(A,E,F,G,H,I,J,K,L))
| ~ $equal(y1_nn_6(A,E,F,G,H,I,J,K,L),y0_nn_1(A,E,F,G,H,I,J,K,L))
| ~ ca(y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) )
& ( rtt(A,y0(A,E,F,G,H,I,J,K,L))
| ~ $equal(y1_nn_6(A,E,F,G,H,I,J,K,L),y0_nn_1(A,E,F,G,H,I,J,K,L))
| ~ ca(y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) )
& ( rtt(A,y1(A,E,F,G,H,I,J,K,L))
| ~ $equal(y1_nn_6(A,E,F,G,H,I,J,K,L),y0_nn_1(A,E,F,G,H,I,J,K,L))
| ~ ca(y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) )
& ( ~ $equal(y1(A,E,F,G,H,I,J,K,L),y0(A,E,F,G,H,I,J,K,L))
| rtt(A,y0_nn_1(A,E,F,G,H,I,J,K,L))
| ~ ca(y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) )
& ( rtt(A,y0(A,E,F,G,H,I,J,K,L))
| rtt(A,y0_nn_1(A,E,F,G,H,I,J,K,L))
| ~ ca(y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) )
& ( rtt(A,y1(A,E,F,G,H,I,J,K,L))
| rtt(A,y0_nn_1(A,E,F,G,H,I,J,K,L))
| ~ ca(y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) )
& ( ~ $equal(y1(A,E,F,G,H,I,J,K,L),y0(A,E,F,G,H,I,J,K,L))
| rtt(A,y1_nn_6(A,E,F,G,H,I,J,K,L))
| ~ ca(y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) )
& ( rtt(A,y0(A,E,F,G,H,I,J,K,L))
| rtt(A,y1_nn_6(A,E,F,G,H,I,J,K,L))
| ~ ca(y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) )
& ( rtt(A,y1(A,E,F,G,H,I,J,K,L))
| rtt(A,y1_nn_6(A,E,F,G,H,I,J,K,L))
| ~ ca(y(A,E,F,G,H,I,J,K,L))
| ~ rtt(A,J)
| ~ rtt(A,K)
| ~ rtt(A,L)
| $equal(K,J)
| $equal(L,J)
| $equal(L,K)
| cunsatisfiable(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS099+1.tptp',unknown),
[] ).
cnf(169302840,plain,
( ~ $equal(y2_nn_12(A),y1_nn_10(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(169929680,plain,
( ~ rtt(A,H)
| ~ rtt(A,I)
| $equal(I,H)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(169914336,plain,
( rtt(A,y1_nn_10(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(175203880,plain,
rtt(i2003_11_14_17_20_29215,y1_nn_10(i2003_11_14_17_20_29215)),
inference(resolution,[status(thm)],[169914336,169961392]),
[] ).
cnf(175442032,plain,
( ~ rtt(i2003_11_14_17_20_29215,G)
| $equal(G,y1_nn_10(i2003_11_14_17_20_29215)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[169961392,169929680,175203880]),
[] ).
cnf(169904048,plain,
( rtt(A,y2_nn_12(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(175190696,plain,
rtt(i2003_11_14_17_20_29215,y2_nn_12(i2003_11_14_17_20_29215)),
inference(resolution,[status(thm)],[169904048,169961392]),
[] ).
cnf(175474880,plain,
$equal(y2_nn_12(i2003_11_14_17_20_29215),y1_nn_10(i2003_11_14_17_20_29215)),
inference(resolution,[status(thm)],[175442032,175190696]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[169961392,169302840,175474880]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_5,plain,(cunsatisfiable(i2003_11_14_17_20_29215)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS099+1.tptp',unknown),[]).
%
% cnf(169961392,plain,(cunsatisfiable(i2003_11_14_17_20_29215)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% fof(axiom_2,plain,(((~rtt(A,E)|ca(E)|~cunsatisfiable(A))&(~rtt(A,F)|~rtt(A,G)|$equal(G,F)|~cunsatisfiable(A))&(~rtt(A,H)|~rtt(A,I)|$equal(I,H)|~cunsatisfiable(A))&(rtt(A,y0_nn_5(A))|~cunsatisfiable(A))&(rtt(A,y1_nn_10(A))|~cunsatisfiable(A))&(rtt(A,y2_nn_12(A))|~cunsatisfiable(A))&(~$equal(y1_nn_10(A),y0_nn_5(A))|~cunsatisfiable(A))&(~$equal(y2_nn_12(A),y0_nn_5(A))|~cunsatisfiable(A))&(~$equal(y2_nn_12(A),y1_nn_10(A))|~cunsatisfiable(A))&(~$equal(y1(A,E,F,G,H,I,J,K,L),y0(A,E,F,G,H,I,J,K,L))|~$equal(y1_nn_6(A,E,F,G,H,I,J,K,L),y0_nn_1(A,E,F,G,H,I,J,K,L))|rtt(A,y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A))&(rtt(A,y0(A,E,F,G,H,I,J,K,L))|~$equal(y1_nn_6(A,E,F,G,H,I,J,K,L),y0_nn_1(A,E,F,G,H,I,J,K,L))|rtt(A,y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A))&(rtt(A,y1(A,E,F,G,H,I,J,K,L))|~$equal(y1_nn_6(A,E,F,G,H,I,J,K,L),y0_nn_1(A,E,F,G,H,I,J,K,L))|rtt(A,y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A))&(~$equal(y1(A,E,F,G,H,I,J,K,L),y0(A,E,F,G,H,I,J,K,L))|rtt(A,y0_nn_1(A,E,F,G,H,I,J,K,L))|rtt(A,y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A))&(rtt(A,y0(A,E,F,G,H,I,J,K,L))|rtt(A,y0_nn_1(A,E,F,G,H,I,J,K,L))|rtt(A,y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A))&(rtt(A,y1(A,E,F,G,H,I,J,K,L))|rtt(A,y0_nn_1(A,E,F,G,H,I,J,K,L))|rtt(A,y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A))&(~$equal(y1(A,E,F,G,H,I,J,K,L),y0(A,E,F,G,H,I,J,K,L))|rtt(A,y1_nn_6(A,E,F,G,H,I,J,K,L))|rtt(A,y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A))&(rtt(A,y0(A,E,F,G,H,I,J,K,L))|rtt(A,y1_nn_6(A,E,F,G,H,I,J,K,L))|rtt(A,y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A))&(rtt(A,y1(A,E,F,G,H,I,J,K,L))|rtt(A,y1_nn_6(A,E,F,G,H,I,J,K,L))|rtt(A,y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A))&(~$equal(y1(A,E,F,G,H,I,J,K,L),y0(A,E,F,G,H,I,J,K,L))|~$equal(y1_nn_6(A,E,F,G,H,I,J,K,L),y0_nn_1(A,E,F,G,H,I,J,K,L))|~ca(y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A))&(rtt(A,y0(A,E,F,G,H,I,J,K,L))|~$equal(y1_nn_6(A,E,F,G,H,I,J,K,L),y0_nn_1(A,E,F,G,H,I,J,K,L))|~ca(y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A))&(rtt(A,y1(A,E,F,G,H,I,J,K,L))|~$equal(y1_nn_6(A,E,F,G,H,I,J,K,L),y0_nn_1(A,E,F,G,H,I,J,K,L))|~ca(y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A))&(~$equal(y1(A,E,F,G,H,I,J,K,L),y0(A,E,F,G,H,I,J,K,L))|rtt(A,y0_nn_1(A,E,F,G,H,I,J,K,L))|~ca(y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A))&(rtt(A,y0(A,E,F,G,H,I,J,K,L))|rtt(A,y0_nn_1(A,E,F,G,H,I,J,K,L))|~ca(y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A))&(rtt(A,y1(A,E,F,G,H,I,J,K,L))|rtt(A,y0_nn_1(A,E,F,G,H,I,J,K,L))|~ca(y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A))&(~$equal(y1(A,E,F,G,H,I,J,K,L),y0(A,E,F,G,H,I,J,K,L))|rtt(A,y1_nn_6(A,E,F,G,H,I,J,K,L))|~ca(y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A))&(rtt(A,y0(A,E,F,G,H,I,J,K,L))|rtt(A,y1_nn_6(A,E,F,G,H,I,J,K,L))|~ca(y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A))&(rtt(A,y1(A,E,F,G,H,I,J,K,L))|rtt(A,y1_nn_6(A,E,F,G,H,I,J,K,L))|~ca(y(A,E,F,G,H,I,J,K,L))|~rtt(A,J)|~rtt(A,K)|~rtt(A,L)|$equal(K,J)|$equal(L,J)|$equal(L,K)|cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS099+1.tptp',unknown),[]).
%
% cnf(169302840,plain,(~$equal(y2_nn_12(A),y1_nn_10(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(169929680,plain,(~rtt(A,H)|~rtt(A,I)|$equal(I,H)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(169914336,plain,(rtt(A,y1_nn_10(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(175203880,plain,(rtt(i2003_11_14_17_20_29215,y1_nn_10(i2003_11_14_17_20_29215))),inference(resolution,[status(thm)],[169914336,169961392]),[]).
%
% cnf(175442032,plain,(~rtt(i2003_11_14_17_20_29215,G)|$equal(G,y1_nn_10(i2003_11_14_17_20_29215))),inference(forward_subsumption_resolution__resolution,[status(thm)],[169961392,169929680,175203880]),[]).
%
% cnf(169904048,plain,(rtt(A,y2_nn_12(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(175190696,plain,(rtt(i2003_11_14_17_20_29215,y2_nn_12(i2003_11_14_17_20_29215))),inference(resolution,[status(thm)],[169904048,169961392]),[]).
%
% cnf(175474880,plain,($equal(y2_nn_12(i2003_11_14_17_20_29215),y1_nn_10(i2003_11_14_17_20_29215))),inference(resolution,[status(thm)],[175442032,175190696]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[169961392,169302840,175474880]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------