TSTP Solution File: KRS077+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS077+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 13:26:21 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 57 ( 4 avg)
% Number of connectives : 140 ( 61 ~; 67 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-5 aty)
% Number of variables : 64 ( 31 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_5,plain,
! [A,B] :
( ~ rs(A,B)
| rr(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS077+1.tptp',unknown),
[] ).
cnf(162610320,plain,
( ~ rs(A,B)
| rr(A,B) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
fof(axiom_2,plain,
! [A,B,C,E,I,K] :
( ( rr(A,y_nn_3(A,B,C))
| ~ cunsatisfiable(A) )
& ( ~ rinvs(y_nn_3(A,B,C),E)
| cp(E)
| ~ cunsatisfiable(A) )
& ( ~ cp(A)
| ~ cunsatisfiable(A) )
& ( rs(A,y_nn_2(A,B,C,E))
| ~ cunsatisfiable(A) )
& ( cp(y_nn_2(A,B,C,E))
| ~ cunsatisfiable(A) )
& ( ~ rr(A,B)
| ~ rr(A,C)
| $equal(C,B)
| ~ cunsatisfiable(A) )
& ( rinvs(I,z(A,B,C,E,I))
| ~ rr(A,I)
| cp(A)
| ~ rs(A,K)
| ~ cp(K)
| ~ $equal(y1(A,B,C,E),y0(A,B,C,E))
| cunsatisfiable(A) )
& ( ~ cp(z(A,B,C,E,I))
| ~ rr(A,I)
| cp(A)
| ~ rs(A,K)
| ~ cp(K)
| ~ $equal(y1(A,B,C,E),y0(A,B,C,E))
| cunsatisfiable(A) )
& ( rinvs(I,z(A,B,C,E,I))
| ~ rr(A,I)
| cp(A)
| ~ rs(A,K)
| ~ cp(K)
| rr(A,y0(A,B,C,E))
| cunsatisfiable(A) )
& ( ~ cp(z(A,B,C,E,I))
| ~ rr(A,I)
| cp(A)
| ~ rs(A,K)
| ~ cp(K)
| rr(A,y0(A,B,C,E))
| cunsatisfiable(A) )
& ( rinvs(I,z(A,B,C,E,I))
| ~ rr(A,I)
| cp(A)
| ~ rs(A,K)
| ~ cp(K)
| rr(A,y1(A,B,C,E))
| cunsatisfiable(A) )
& ( ~ cp(z(A,B,C,E,I))
| ~ rr(A,I)
| cp(A)
| ~ rs(A,K)
| ~ cp(K)
| rr(A,y1(A,B,C,E))
| cunsatisfiable(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS077+1.tptp',unknown),
[] ).
cnf(162544400,plain,
( rs(A,y_nn_2(A,B,C,E))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_4,plain,
cunsatisfiable(i2003_11_14_17_19_09372),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS077+1.tptp',unknown),
[] ).
cnf(162603360,plain,
cunsatisfiable(i2003_11_14_17_19_09372),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
cnf(167881104,plain,
rs(i2003_11_14_17_19_09372,y_nn_2(i2003_11_14_17_19_09372,A,B,D)),
inference(resolution,[status(thm)],[162544400,162603360]),
[] ).
cnf(168072936,plain,
rr(i2003_11_14_17_19_09372,y_nn_2(i2003_11_14_17_19_09372,A,B,D)),
inference(resolution,[status(thm)],[162610320,167881104]),
[] ).
cnf(162519296,plain,
( ~ rr(A,B)
| ~ rr(A,C)
| $equal(C,B)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(168037584,plain,
( ~ rr(i2003_11_14_17_19_09372,A)
| ~ rr(i2003_11_14_17_19_09372,B)
| $equal(B,A) ),
inference(resolution,[status(thm)],[162519296,162603360]),
[] ).
cnf(162582600,plain,
( rr(A,y_nn_3(A,B,C))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(167871176,plain,
rr(i2003_11_14_17_19_09372,y_nn_3(i2003_11_14_17_19_09372,A,B)),
inference(resolution,[status(thm)],[162582600,162603360]),
[] ).
cnf(168054920,plain,
( ~ rr(i2003_11_14_17_19_09372,A)
| $equal(y_nn_3(i2003_11_14_17_19_09372,B,C),A) ),
inference(resolution,[status(thm)],[168037584,167871176]),
[] ).
fof(rinvS_substitution_1,plain,
! [B,A,C] :
( ~ $equal(B,A)
| ~ rinvs(A,C)
| rinvs(B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS077+1.tptp',unknown),
[] ).
cnf(162303392,plain,
( ~ $equal(B,A)
| ~ rinvs(A,C)
| rinvs(B,C) ),
inference(rewrite,[status(thm)],[rinvS_substitution_1]),
[] ).
cnf(162571696,plain,
( ~ rinvs(y_nn_3(A,B,C),E)
| cp(E)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(162554448,plain,
( ~ cp(A)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(167819352,plain,
~ cp(i2003_11_14_17_19_09372),
inference(resolution,[status(thm)],[162554448,162603360]),
[] ).
cnf(167937408,plain,
( ~ rinvs(y_nn_3(A,B,C),i2003_11_14_17_19_09372)
| ~ cunsatisfiable(A) ),
inference(resolution,[status(thm)],[162571696,167819352]),
[] ).
cnf(167955584,plain,
~ rinvs(y_nn_3(i2003_11_14_17_19_09372,A,B),i2003_11_14_17_19_09372),
inference(resolution,[status(thm)],[167937408,162603360]),
[] ).
cnf(168149176,plain,
( ~ $equal(y_nn_3(i2003_11_14_17_19_09372,B,C),A)
| ~ rinvs(A,i2003_11_14_17_19_09372) ),
inference(resolution,[status(thm)],[162303392,167955584]),
[] ).
fof(axiom_3,plain,
! [A,B] :
( ( ~ rinvs(A,B)
| rs(B,A) )
& ( rinvs(A,B)
| ~ rs(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS077+1.tptp',unknown),
[] ).
cnf(162592936,plain,
( rinvs(A,B)
| ~ rs(B,A) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(168064936,plain,
rinvs(y_nn_2(i2003_11_14_17_19_09372,A,B,D),i2003_11_14_17_19_09372),
inference(resolution,[status(thm)],[162592936,167881104]),
[] ).
cnf(168216480,plain,
~ $equal(y_nn_3(i2003_11_14_17_19_09372,A,B),y_nn_2(i2003_11_14_17_19_09372,C,D,F)),
inference(resolution,[status(thm)],[168149176,168064936]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[168072936,168054920,168216480]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_5,plain,(~rs(A,B)|rr(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS077+1.tptp',unknown),[]).
%
% cnf(162610320,plain,(~rs(A,B)|rr(A,B)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% fof(axiom_2,plain,(((rr(A,y_nn_3(A,B,C))|~cunsatisfiable(A))&(~rinvs(y_nn_3(A,B,C),E)|cp(E)|~cunsatisfiable(A))&(~cp(A)|~cunsatisfiable(A))&(rs(A,y_nn_2(A,B,C,E))|~cunsatisfiable(A))&(cp(y_nn_2(A,B,C,E))|~cunsatisfiable(A))&(~rr(A,B)|~rr(A,C)|$equal(C,B)|~cunsatisfiable(A))&(rinvs(I,z(A,B,C,E,I))|~rr(A,I)|cp(A)|~rs(A,K)|~cp(K)|~$equal(y1(A,B,C,E),y0(A,B,C,E))|cunsatisfiable(A))&(~cp(z(A,B,C,E,I))|~rr(A,I)|cp(A)|~rs(A,K)|~cp(K)|~$equal(y1(A,B,C,E),y0(A,B,C,E))|cunsatisfiable(A))&(rinvs(I,z(A,B,C,E,I))|~rr(A,I)|cp(A)|~rs(A,K)|~cp(K)|rr(A,y0(A,B,C,E))|cunsatisfiable(A))&(~cp(z(A,B,C,E,I))|~rr(A,I)|cp(A)|~rs(A,K)|~cp(K)|rr(A,y0(A,B,C,E))|cunsatisfiable(A))&(rinvs(I,z(A,B,C,E,I))|~rr(A,I)|cp(A)|~rs(A,K)|~cp(K)|rr(A,y1(A,B,C,E))|cunsatisfiable(A))&(~cp(z(A,B,C,E,I))|~rr(A,I)|cp(A)|~rs(A,K)|~cp(K)|rr(A,y1(A,B,C,E))|cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS077+1.tptp',unknown),[]).
%
% cnf(162544400,plain,(rs(A,y_nn_2(A,B,C,E))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_4,plain,(cunsatisfiable(i2003_11_14_17_19_09372)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS077+1.tptp',unknown),[]).
%
% cnf(162603360,plain,(cunsatisfiable(i2003_11_14_17_19_09372)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% cnf(167881104,plain,(rs(i2003_11_14_17_19_09372,y_nn_2(i2003_11_14_17_19_09372,A,B,D))),inference(resolution,[status(thm)],[162544400,162603360]),[]).
%
% cnf(168072936,plain,(rr(i2003_11_14_17_19_09372,y_nn_2(i2003_11_14_17_19_09372,A,B,D))),inference(resolution,[status(thm)],[162610320,167881104]),[]).
%
% cnf(162519296,plain,(~rr(A,B)|~rr(A,C)|$equal(C,B)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(168037584,plain,(~rr(i2003_11_14_17_19_09372,A)|~rr(i2003_11_14_17_19_09372,B)|$equal(B,A)),inference(resolution,[status(thm)],[162519296,162603360]),[]).
%
% cnf(162582600,plain,(rr(A,y_nn_3(A,B,C))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(167871176,plain,(rr(i2003_11_14_17_19_09372,y_nn_3(i2003_11_14_17_19_09372,A,B))),inference(resolution,[status(thm)],[162582600,162603360]),[]).
%
% cnf(168054920,plain,(~rr(i2003_11_14_17_19_09372,A)|$equal(y_nn_3(i2003_11_14_17_19_09372,B,C),A)),inference(resolution,[status(thm)],[168037584,167871176]),[]).
%
% fof(rinvS_substitution_1,plain,(~$equal(B,A)|~rinvs(A,C)|rinvs(B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS077+1.tptp',unknown),[]).
%
% cnf(162303392,plain,(~$equal(B,A)|~rinvs(A,C)|rinvs(B,C)),inference(rewrite,[status(thm)],[rinvS_substitution_1]),[]).
%
% cnf(162571696,plain,(~rinvs(y_nn_3(A,B,C),E)|cp(E)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(162554448,plain,(~cp(A)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(167819352,plain,(~cp(i2003_11_14_17_19_09372)),inference(resolution,[status(thm)],[162554448,162603360]),[]).
%
% cnf(167937408,plain,(~rinvs(y_nn_3(A,B,C),i2003_11_14_17_19_09372)|~cunsatisfiable(A)),inference(resolution,[status(thm)],[162571696,167819352]),[]).
%
% cnf(167955584,plain,(~rinvs(y_nn_3(i2003_11_14_17_19_09372,A,B),i2003_11_14_17_19_09372)),inference(resolution,[status(thm)],[167937408,162603360]),[]).
%
% cnf(168149176,plain,(~$equal(y_nn_3(i2003_11_14_17_19_09372,B,C),A)|~rinvs(A,i2003_11_14_17_19_09372)),inference(resolution,[status(thm)],[162303392,167955584]),[]).
%
% fof(axiom_3,plain,(((~rinvs(A,B)|rs(B,A))&(rinvs(A,B)|~rs(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS077+1.tptp',unknown),[]).
%
% cnf(162592936,plain,(rinvs(A,B)|~rs(B,A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(168064936,plain,(rinvs(y_nn_2(i2003_11_14_17_19_09372,A,B,D),i2003_11_14_17_19_09372)),inference(resolution,[status(thm)],[162592936,167881104]),[]).
%
% cnf(168216480,plain,(~$equal(y_nn_3(i2003_11_14_17_19_09372,A,B),y_nn_2(i2003_11_14_17_19_09372,C,D,F))),inference(resolution,[status(thm)],[168149176,168064936]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[168072936,168054920,168216480]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------