TSTP Solution File: KRS172+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS172+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 13:30:50 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 10 unt; 0 def)
% Number of atoms : 204 ( 0 equ)
% Maximal formula atoms : 96 ( 4 avg)
% Number of connectives : 256 ( 99 ~; 138 |; 19 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 50 ( 8 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_7,plain,
! [A,B] :
( ~ rq(A,B)
| cd(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),
[] ).
cnf(155923688,plain,
( ~ rq(A,B)
| cd(A) ),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
fof(axiom_2,plain,
! [A] :
( ( ~ cd(A)
| rq(A,iv) )
& ( cd(A)
| ~ rq(A,iv) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),
[] ).
cnf(155888656,plain,
( ~ cd(A)
| rq(A,iv) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(172016352,plain,
( ~ rq(A,B)
| rq(A,iv) ),
inference(resolution,[status(thm)],[155923688,155888656]),
[] ).
fof(axiom_6,plain,
! [A,B,C] :
( ~ rq(A,B)
| ~ rq(A,C)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),
[] ).
cnf(155918920,plain,
( ~ rq(A,B)
| ~ rq(A,C)
| $equal(C,B) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
fof(the_axiom,plain,
( ( rp(x,y)
| ~ rp(x,y)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ rq(x,y)
| ~ rp(x,y)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( rp(x,y)
| rq(x,y)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ rq(x,y)
| rq(x,y)
| ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( rp(x,y)
| ~ rp(x,y)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ rq(x,y)
| ~ rp(x,y)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( rp(x,y)
| rq(x,y)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ rq(x,y)
| rq(x,y)
| ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( rp(x,y)
| ~ rp(x,y)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ rq(x,y)
| ~ rp(x,y)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( rp(x,y)
| rq(x,y)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ rq(x,y)
| rq(x,y)
| ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( rp(x,y)
| ~ rp(x,y)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ rq(x,y)
| ~ rp(x,y)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( rp(x,y)
| rq(x,y)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ rq(x,y)
| rq(x,y)
| ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),
[] ).
fof(axiom_1,plain,
! [A] :
( ( ~ xsd_string(A)
| ~ xsd_integer(A) )
& ( xsd_string(A)
| xsd_integer(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),
[] ).
cnf(155772392,plain,
( xsd_string(A)
| xsd_integer(A) ),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
fof(axiom_0,plain,
! [A] :
( cowlthing(A)
& ~ cowlnothing(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),
[] ).
cnf(155858672,plain,
cowlthing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(156197776,plain,
( ~ rq(x,y)
| ~ rp(x,y)
| xsd_string(x_nn_1)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,155772392,155858672]),
[] ).
cnf(156211000,plain,
( ~ rq(x,y)
| ~ rp(x,y)
| xsd_integer(x_nn_1)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,156197776,155858672]),
[] ).
cnf(155850344,plain,
~ cowlnothing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(171981856,plain,
( ~ rq(x,y)
| ~ rp(x,y)
| xsd_integer(x_nn_1) ),
inference(resolution,[status(thm)],[156211000,155850344]),
[] ).
cnf(171977384,plain,
( ~ rq(x,y)
| ~ rp(x,y)
| xsd_string(x_nn_1) ),
inference(resolution,[status(thm)],[156197776,155850344]),
[] ).
cnf(155871752,plain,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(172684088,plain,
( ~ rq(x,y)
| ~ rp(x,y) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[171981856,171977384,155871752]),
[] ).
fof(rp_substitution_2,plain,
! [B,A,C] :
( ~ $equal(B,A)
| ~ rp(C,A)
| rp(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),
[] ).
cnf(155814448,plain,
( ~ $equal(B,A)
| ~ rp(C,A)
| rp(C,B) ),
inference(rewrite,[status(thm)],[rp_substitution_2]),
[] ).
cnf(156188344,plain,
( rp(x,y)
| rq(x,y)
| xsd_string(x_nn_1)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,155772392,155858672]),
[] ).
cnf(156204296,plain,
( rp(x,y)
| rq(x,y)
| xsd_integer(x_nn_1)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,156188344,155858672]),
[] ).
cnf(171972728,plain,
( rp(x,y)
| rq(x,y)
| xsd_integer(x_nn_1) ),
inference(resolution,[status(thm)],[156204296,155850344]),
[] ).
cnf(171968040,plain,
( rp(x,y)
| rq(x,y)
| xsd_string(x_nn_1) ),
inference(resolution,[status(thm)],[156188344,155850344]),
[] ).
cnf(172079088,plain,
( rp(x,y)
| rq(x,y) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[171972728,171968040,155871752]),
[] ).
fof(axiom_5,plain,
! [A,B] :
( ~ rp(A,B)
| cd(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),
[] ).
cnf(155911184,plain,
( ~ rp(A,B)
| cd(A) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(172142944,plain,
( rq(x,y)
| cd(x) ),
inference(resolution,[status(thm)],[172079088,155911184]),
[] ).
cnf(172179448,plain,
cd(x),
inference(resolution,[status(thm)],[172142944,155923688]),
[] ).
fof(axiom_3,plain,
! [A] :
( ( ~ cd(A)
| rp(A,iv) )
& ( cd(A)
| ~ rp(A,iv) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),
[] ).
cnf(155898256,plain,
( ~ cd(A)
| rp(A,iv) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(172211536,plain,
rp(x,iv),
inference(resolution,[status(thm)],[172179448,155898256]),
[] ).
cnf(172495480,plain,
( ~ $equal(A,iv)
| rp(x,A) ),
inference(resolution,[status(thm)],[155814448,172211536]),
[] ).
cnf(172809896,plain,
( ~ rq(x,y)
| ~ $equal(y,iv) ),
inference(resolution,[status(thm)],[172684088,172495480]),
[] ).
fof(rq_substitution_2,plain,
! [B,A,C] :
( ~ $equal(B,A)
| ~ rq(C,A)
| rq(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),
[] ).
cnf(155824704,plain,
( ~ $equal(B,A)
| ~ rq(C,A)
| rq(C,B) ),
inference(rewrite,[status(thm)],[rq_substitution_2]),
[] ).
cnf(172202704,plain,
rq(x,iv),
inference(resolution,[status(thm)],[172179448,155888656]),
[] ).
cnf(172616672,plain,
( ~ $equal(A,iv)
| rq(x,A) ),
inference(resolution,[status(thm)],[155824704,172202704]),
[] ).
cnf(172863416,plain,
~ $equal(y,iv),
inference(resolution,[status(thm)],[172809896,172616672]),
[] ).
cnf(174914584,plain,
~ rq(A,y),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172016352,155918920,172863416]),
[] ).
cnf(172009960,plain,
( ~ rp(A,B)
| rp(A,iv) ),
inference(resolution,[status(thm)],[155911184,155898256]),
[] ).
fof(axiom_4,plain,
! [A,B,C] :
( ~ rp(A,B)
| ~ rp(A,C)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),
[] ).
cnf(155906544,plain,
( ~ rp(A,B)
| ~ rp(A,C)
| $equal(C,B) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
cnf(173088984,plain,
~ rp(A,y),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172009960,155906544,172863416]),
[] ).
cnf(173288944,plain,
rq(x,y),
inference(resolution,[status(thm)],[173088984,172079088]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[174914584,173288944]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_7,plain,(~rq(A,B)|cd(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),[]).
%
% cnf(155923688,plain,(~rq(A,B)|cd(A)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% fof(axiom_2,plain,(((~cd(A)|rq(A,iv))&(cd(A)|~rq(A,iv)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),[]).
%
% cnf(155888656,plain,(~cd(A)|rq(A,iv)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(172016352,plain,(~rq(A,B)|rq(A,iv)),inference(resolution,[status(thm)],[155923688,155888656]),[]).
%
% fof(axiom_6,plain,(~rq(A,B)|~rq(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),[]).
%
% cnf(155918920,plain,(~rq(A,B)|~rq(A,C)|$equal(C,B)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% fof(the_axiom,plain,(((rp(x,y)|~rp(x,y)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~rq(x,y)|~rp(x,y)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(rp(x,y)|rq(x,y)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~rq(x,y)|rq(x,y)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(rp(x,y)|~rp(x,y)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~rq(x,y)|~rp(x,y)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(rp(x,y)|rq(x,y)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~rq(x,y)|rq(x,y)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(rp(x,y)|~rp(x,y)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~rq(x,y)|~rp(x,y)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(rp(x,y)|rq(x,y)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~rq(x,y)|rq(x,y)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(rp(x,y)|~rp(x,y)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~rq(x,y)|~rp(x,y)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(rp(x,y)|rq(x,y)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~rq(x,y)|rq(x,y)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),[]).
%
% fof(axiom_1,plain,(((~xsd_string(A)|~xsd_integer(A))&(xsd_string(A)|xsd_integer(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),[]).
%
% cnf(155772392,plain,(xsd_string(A)|xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% fof(axiom_0,plain,((cowlthing(A)&~cowlnothing(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),[]).
%
% cnf(155858672,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(156197776,plain,(~rq(x,y)|~rp(x,y)|xsd_string(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,155772392,155858672]),[]).
%
% cnf(156211000,plain,(~rq(x,y)|~rp(x,y)|xsd_integer(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,156197776,155858672]),[]).
%
% cnf(155850344,plain,(~cowlnothing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(171981856,plain,(~rq(x,y)|~rp(x,y)|xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[156211000,155850344]),[]).
%
% cnf(171977384,plain,(~rq(x,y)|~rp(x,y)|xsd_string(x_nn_1)),inference(resolution,[status(thm)],[156197776,155850344]),[]).
%
% cnf(155871752,plain,(~xsd_string(A)|~xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(172684088,plain,(~rq(x,y)|~rp(x,y)),inference(forward_subsumption_resolution__resolution,[status(thm)],[171981856,171977384,155871752]),[]).
%
% fof(rp_substitution_2,plain,(~$equal(B,A)|~rp(C,A)|rp(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),[]).
%
% cnf(155814448,plain,(~$equal(B,A)|~rp(C,A)|rp(C,B)),inference(rewrite,[status(thm)],[rp_substitution_2]),[]).
%
% cnf(156188344,plain,(rp(x,y)|rq(x,y)|xsd_string(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,155772392,155858672]),[]).
%
% cnf(156204296,plain,(rp(x,y)|rq(x,y)|xsd_integer(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,156188344,155858672]),[]).
%
% cnf(171972728,plain,(rp(x,y)|rq(x,y)|xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[156204296,155850344]),[]).
%
% cnf(171968040,plain,(rp(x,y)|rq(x,y)|xsd_string(x_nn_1)),inference(resolution,[status(thm)],[156188344,155850344]),[]).
%
% cnf(172079088,plain,(rp(x,y)|rq(x,y)),inference(forward_subsumption_resolution__resolution,[status(thm)],[171972728,171968040,155871752]),[]).
%
% fof(axiom_5,plain,(~rp(A,B)|cd(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),[]).
%
% cnf(155911184,plain,(~rp(A,B)|cd(A)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(172142944,plain,(rq(x,y)|cd(x)),inference(resolution,[status(thm)],[172079088,155911184]),[]).
%
% cnf(172179448,plain,(cd(x)),inference(resolution,[status(thm)],[172142944,155923688]),[]).
%
% fof(axiom_3,plain,(((~cd(A)|rp(A,iv))&(cd(A)|~rp(A,iv)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),[]).
%
% cnf(155898256,plain,(~cd(A)|rp(A,iv)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(172211536,plain,(rp(x,iv)),inference(resolution,[status(thm)],[172179448,155898256]),[]).
%
% cnf(172495480,plain,(~$equal(A,iv)|rp(x,A)),inference(resolution,[status(thm)],[155814448,172211536]),[]).
%
% cnf(172809896,plain,(~rq(x,y)|~$equal(y,iv)),inference(resolution,[status(thm)],[172684088,172495480]),[]).
%
% fof(rq_substitution_2,plain,(~$equal(B,A)|~rq(C,A)|rq(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),[]).
%
% cnf(155824704,plain,(~$equal(B,A)|~rq(C,A)|rq(C,B)),inference(rewrite,[status(thm)],[rq_substitution_2]),[]).
%
% cnf(172202704,plain,(rq(x,iv)),inference(resolution,[status(thm)],[172179448,155888656]),[]).
%
% cnf(172616672,plain,(~$equal(A,iv)|rq(x,A)),inference(resolution,[status(thm)],[155824704,172202704]),[]).
%
% cnf(172863416,plain,(~$equal(y,iv)),inference(resolution,[status(thm)],[172809896,172616672]),[]).
%
% cnf(174914584,plain,(~rq(A,y)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172016352,155918920,172863416]),[]).
%
% cnf(172009960,plain,(~rp(A,B)|rp(A,iv)),inference(resolution,[status(thm)],[155911184,155898256]),[]).
%
% fof(axiom_4,plain,(~rp(A,B)|~rp(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS172+1.tptp',unknown),[]).
%
% cnf(155906544,plain,(~rp(A,B)|~rp(A,C)|$equal(C,B)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% cnf(173088984,plain,(~rp(A,y)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172009960,155906544,172863416]),[]).
%
% cnf(173288944,plain,(rq(x,y)),inference(resolution,[status(thm)],[173088984,172079088]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174914584,173288944]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------