TSTP Solution File: KRS120+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS120+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 13:28:10 EDT 2009
% Result : Unsatisfiable 1.9s
% Output : Refutation 1.9s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 12 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 101 ( 48 ~; 42 |; 11 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 39 ( 2 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_6,plain,
! [A,C] :
( ( cp1xcomp(y_nn_1(A))
| ~ ca_vx3(A) )
& ( rf(A,y_nn_1(A))
| ~ ca_vx3(A) )
& ( ca_vx3(A)
| ~ rf(A,C)
| ~ cp1xcomp(C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),
[] ).
cnf(151476000,plain,
( rf(A,y_nn_1(A))
| ~ ca_vx3(A) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
fof(axiom_5,plain,
! [A,C] :
( ( cp1(A)
| ~ ca_ax2(A) )
& ( rinvf(A,y_nn_1(A))
| ~ ca_ax2(A) )
& ( ca_vx3(y_nn_1(A))
| ~ ca_ax2(A) )
& ( ca_ax2(A)
| ~ rinvf(A,C)
| ~ ca_vx3(C)
| ~ cp1(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),
[] ).
cnf(151440832,plain,
( ca_vx3(y_nn_1(A))
| ~ ca_ax2(A) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
fof(axiom_2,plain,
! [A,C] :
( ( ca_ax2(y_nn_1(A))
| ~ cunsatisfiable(A) )
& ( rf(A,y_nn_1(A))
| ~ cunsatisfiable(A) )
& ( cunsatisfiable(A)
| ~ rf(A,C)
| ~ ca_ax2(C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),
[] ).
cnf(151384616,plain,
( ca_ax2(y_nn_1(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_11,plain,
cunsatisfiable(i2003_11_14_17_21_48796),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),
[] ).
cnf(151537760,plain,
cunsatisfiable(i2003_11_14_17_21_48796),
inference(rewrite,[status(thm)],[axiom_11]),
[] ).
cnf(156779576,plain,
ca_ax2(y_nn_1(i2003_11_14_17_21_48796)),
inference(resolution,[status(thm)],[151384616,151537760]),
[] ).
cnf(156835984,plain,
ca_vx3(y_nn_1(y_nn_1(i2003_11_14_17_21_48796))),
inference(resolution,[status(thm)],[151440832,156779576]),
[] ).
cnf(156998408,plain,
rf(y_nn_1(y_nn_1(i2003_11_14_17_21_48796)),y_nn_1(y_nn_1(y_nn_1(i2003_11_14_17_21_48796)))),
inference(resolution,[status(thm)],[151476000,156835984]),
[] ).
fof(axiom_7,plain,
! [A,B,C] :
( ~ cowlthing(A)
| ~ rf(A,B)
| ~ rf(A,C)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),
[] ).
fof(axiom_0,plain,
! [A] :
( cowlthing(A)
& ~ cowlnothing(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),
[] ).
cnf(151339888,plain,
cowlthing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(151491056,plain,
( ~ rf(A,B)
| ~ rf(A,C)
| $equal(C,B) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_7,151339888]),
[] ).
fof(axiom_8,plain,
! [A,B] :
( ( ~ rinvf(A,B)
| rf(B,A) )
& ( rinvf(A,B)
| ~ rf(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),
[] ).
cnf(151507944,plain,
( ~ rinvf(A,B)
| rf(B,A) ),
inference(rewrite,[status(thm)],[axiom_8]),
[] ).
cnf(151447928,plain,
( rinvf(A,y_nn_1(A))
| ~ ca_ax2(A) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(156846968,plain,
rinvf(y_nn_1(i2003_11_14_17_21_48796),y_nn_1(y_nn_1(i2003_11_14_17_21_48796))),
inference(resolution,[status(thm)],[151447928,156779576]),
[] ).
cnf(157467072,plain,
rf(y_nn_1(y_nn_1(i2003_11_14_17_21_48796)),y_nn_1(i2003_11_14_17_21_48796)),
inference(resolution,[status(thm)],[151507944,156846968]),
[] ).
cnf(164257152,plain,
( ~ rf(y_nn_1(y_nn_1(i2003_11_14_17_21_48796)),A)
| $equal(A,y_nn_1(i2003_11_14_17_21_48796)) ),
inference(resolution,[status(thm)],[151491056,157467072]),
[] ).
fof(ca_Ax2_substitution_1,plain,
! [B,A] :
( ~ $equal(B,A)
| ~ ca_ax2(A)
| ca_ax2(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),
[] ).
cnf(151192192,plain,
( ~ $equal(B,A)
| ~ ca_ax2(A)
| ca_ax2(B) ),
inference(rewrite,[status(thm)],[ca_Ax2_substitution_1]),
[] ).
cnf(156862096,plain,
( ~ $equal(A,y_nn_1(i2003_11_14_17_21_48796))
| ca_ax2(A) ),
inference(resolution,[status(thm)],[151192192,156779576]),
[] ).
fof(axiom_4,plain,
! [A,C] :
( ( ~ cp1xcomp(A)
| ra_px1(A,y0_nn_1(A)) )
& ( cp1xcomp(A)
| ~ ra_px1(A,C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),
[] ).
cnf(151416320,plain,
( ~ cp1xcomp(A)
| ra_px1(A,y0_nn_1(A)) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
fof(axiom_3,plain,
! [A,B] :
( ( ~ cp1(A)
| ~ ra_px1(A,B) )
& ( cp1(A)
| ra_px1(A,y(A,B)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),
[] ).
cnf(151402768,plain,
( ~ cp1(A)
| ~ ra_px1(A,B) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(157271552,plain,
( ~ cp1xcomp(A)
| ~ cp1(A) ),
inference(resolution,[status(thm)],[151416320,151402768]),
[] ).
cnf(151170680,plain,
( cp1(A)
| ~ ca_ax2(A) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(157286256,plain,
( ~ cp1xcomp(A)
| ~ ca_ax2(A) ),
inference(resolution,[status(thm)],[157271552,151170680]),
[] ).
cnf(151482264,plain,
( cp1xcomp(y_nn_1(A))
| ~ ca_vx3(A) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
cnf(156983312,plain,
cp1xcomp(y_nn_1(y_nn_1(y_nn_1(i2003_11_14_17_21_48796)))),
inference(resolution,[status(thm)],[151482264,156835984]),
[] ).
cnf(157359328,plain,
~ ca_ax2(y_nn_1(y_nn_1(y_nn_1(i2003_11_14_17_21_48796)))),
inference(resolution,[status(thm)],[157286256,156983312]),
[] ).
cnf(158001008,plain,
~ $equal(y_nn_1(y_nn_1(y_nn_1(i2003_11_14_17_21_48796))),y_nn_1(i2003_11_14_17_21_48796)),
inference(resolution,[status(thm)],[156862096,157359328]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[156998408,164257152,158001008]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(axiom_6,plain,(((cp1xcomp(y_nn_1(A))|~ca_vx3(A))&(rf(A,y_nn_1(A))|~ca_vx3(A))&(ca_vx3(A)|~rf(A,C)|~cp1xcomp(C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),[]).
%
% cnf(151476000,plain,(rf(A,y_nn_1(A))|~ca_vx3(A)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% fof(axiom_5,plain,(((cp1(A)|~ca_ax2(A))&(rinvf(A,y_nn_1(A))|~ca_ax2(A))&(ca_vx3(y_nn_1(A))|~ca_ax2(A))&(ca_ax2(A)|~rinvf(A,C)|~ca_vx3(C)|~cp1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),[]).
%
% cnf(151440832,plain,(ca_vx3(y_nn_1(A))|~ca_ax2(A)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% fof(axiom_2,plain,(((ca_ax2(y_nn_1(A))|~cunsatisfiable(A))&(rf(A,y_nn_1(A))|~cunsatisfiable(A))&(cunsatisfiable(A)|~rf(A,C)|~ca_ax2(C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),[]).
%
% cnf(151384616,plain,(ca_ax2(y_nn_1(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_11,plain,(cunsatisfiable(i2003_11_14_17_21_48796)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),[]).
%
% cnf(151537760,plain,(cunsatisfiable(i2003_11_14_17_21_48796)),inference(rewrite,[status(thm)],[axiom_11]),[]).
%
% cnf(156779576,plain,(ca_ax2(y_nn_1(i2003_11_14_17_21_48796))),inference(resolution,[status(thm)],[151384616,151537760]),[]).
%
% cnf(156835984,plain,(ca_vx3(y_nn_1(y_nn_1(i2003_11_14_17_21_48796)))),inference(resolution,[status(thm)],[151440832,156779576]),[]).
%
% cnf(156998408,plain,(rf(y_nn_1(y_nn_1(i2003_11_14_17_21_48796)),y_nn_1(y_nn_1(y_nn_1(i2003_11_14_17_21_48796))))),inference(resolution,[status(thm)],[151476000,156835984]),[]).
%
% fof(axiom_7,plain,(~cowlthing(A)|~rf(A,B)|~rf(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),[]).
%
% fof(axiom_0,plain,((cowlthing(A)&~cowlnothing(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),[]).
%
% cnf(151339888,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(151491056,plain,(~rf(A,B)|~rf(A,C)|$equal(C,B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_7,151339888]),[]).
%
% fof(axiom_8,plain,(((~rinvf(A,B)|rf(B,A))&(rinvf(A,B)|~rf(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),[]).
%
% cnf(151507944,plain,(~rinvf(A,B)|rf(B,A)),inference(rewrite,[status(thm)],[axiom_8]),[]).
%
% cnf(151447928,plain,(rinvf(A,y_nn_1(A))|~ca_ax2(A)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(156846968,plain,(rinvf(y_nn_1(i2003_11_14_17_21_48796),y_nn_1(y_nn_1(i2003_11_14_17_21_48796)))),inference(resolution,[status(thm)],[151447928,156779576]),[]).
%
% cnf(157467072,plain,(rf(y_nn_1(y_nn_1(i2003_11_14_17_21_48796)),y_nn_1(i2003_11_14_17_21_48796))),inference(resolution,[status(thm)],[151507944,156846968]),[]).
%
% cnf(164257152,plain,(~rf(y_nn_1(y_nn_1(i2003_11_14_17_21_48796)),A)|$equal(A,y_nn_1(i2003_11_14_17_21_48796))),inference(resolution,[status(thm)],[151491056,157467072]),[]).
%
% fof(ca_Ax2_substitution_1,plain,(~$equal(B,A)|~ca_ax2(A)|ca_ax2(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),[]).
%
% cnf(151192192,plain,(~$equal(B,A)|~ca_ax2(A)|ca_ax2(B)),inference(rewrite,[status(thm)],[ca_Ax2_substitution_1]),[]).
%
% cnf(156862096,plain,(~$equal(A,y_nn_1(i2003_11_14_17_21_48796))|ca_ax2(A)),inference(resolution,[status(thm)],[151192192,156779576]),[]).
%
% fof(axiom_4,plain,(((~cp1xcomp(A)|ra_px1(A,y0_nn_1(A)))&(cp1xcomp(A)|~ra_px1(A,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),[]).
%
% cnf(151416320,plain,(~cp1xcomp(A)|ra_px1(A,y0_nn_1(A))),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% fof(axiom_3,plain,(((~cp1(A)|~ra_px1(A,B))&(cp1(A)|ra_px1(A,y(A,B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS120+1.tptp',unknown),[]).
%
% cnf(151402768,plain,(~cp1(A)|~ra_px1(A,B)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(157271552,plain,(~cp1xcomp(A)|~cp1(A)),inference(resolution,[status(thm)],[151416320,151402768]),[]).
%
% cnf(151170680,plain,(cp1(A)|~ca_ax2(A)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(157286256,plain,(~cp1xcomp(A)|~ca_ax2(A)),inference(resolution,[status(thm)],[157271552,151170680]),[]).
%
% cnf(151482264,plain,(cp1xcomp(y_nn_1(A))|~ca_vx3(A)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% cnf(156983312,plain,(cp1xcomp(y_nn_1(y_nn_1(y_nn_1(i2003_11_14_17_21_48796))))),inference(resolution,[status(thm)],[151482264,156835984]),[]).
%
% cnf(157359328,plain,(~ca_ax2(y_nn_1(y_nn_1(y_nn_1(i2003_11_14_17_21_48796))))),inference(resolution,[status(thm)],[157286256,156983312]),[]).
%
% cnf(158001008,plain,(~$equal(y_nn_1(y_nn_1(y_nn_1(i2003_11_14_17_21_48796))),y_nn_1(i2003_11_14_17_21_48796))),inference(resolution,[status(thm)],[156862096,157359328]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[156998408,164257152,158001008]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------