TSTP Solution File: COM129+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : COM129+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:04:06 EDT 2023
% Result : Theorem 0.18s 0.57s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 51 ( 17 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 55 ( 25 ~; 17 |; 7 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 49 (; 41 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [VVar0,VExp0,Ve1,Vv,Ve2] :
( ( VVar0 = Vv
& VExp0 = vapp(Ve1,Ve2) )
=> ( ( ( visFreeVar(Vv,Ve1)
| visFreeVar(Vv,Ve2) )
=> visFreeVar(VVar0,VExp0) )
& ( visFreeVar(VVar0,VExp0)
=> ( visFreeVar(Vv,Ve1)
| visFreeVar(Vv,Ve2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [Vv,Ve] :
( vgensym(Ve) = Vv
=> ~ visFreeVar(Vv,Ve) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,conjecture,
! [Ve,Vx,Vfresh,Ve1] :
( Vfresh = vgensym(vapp(vapp(Ve,Ve1),vvar(Vx)))
=> ~ visFreeVar(Vfresh,Ve1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
~ ! [Ve,Vx,Vfresh,Ve1] :
( Vfresh = vgensym(vapp(vapp(Ve,Ve1),vvar(Vx)))
=> ~ visFreeVar(Vfresh,Ve1) ),
inference(negated_conjecture,[status(cth)],[f66]) ).
fof(f103,plain,
! [VVar0,VExp0,Ve1,Vv,Ve2] :
( VVar0 != Vv
| VExp0 != vapp(Ve1,Ve2)
| ( ( ( ~ visFreeVar(Vv,Ve1)
& ~ visFreeVar(Vv,Ve2) )
| visFreeVar(VVar0,VExp0) )
& ( ~ visFreeVar(VVar0,VExp0)
| visFreeVar(Vv,Ve1)
| visFreeVar(Vv,Ve2) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4] :
( X0 != X1
| X2 != vapp(X3,X4)
| ~ visFreeVar(X1,X3)
| visFreeVar(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4] :
( X0 != X1
| X2 != vapp(X3,X4)
| ~ visFreeVar(X1,X4)
| visFreeVar(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f156,plain,
! [Vv,Ve] :
( vgensym(Ve) != Vv
| ~ visFreeVar(Vv,Ve) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f157,plain,
! [X0,X1] :
( vgensym(X0) != X1
| ~ visFreeVar(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f156]) ).
fof(f285,plain,
? [Ve,Vx,Vfresh,Ve1] :
( Vfresh = vgensym(vapp(vapp(Ve,Ve1),vvar(Vx)))
& visFreeVar(Vfresh,Ve1) ),
inference(pre_NNF_transformation,[status(esa)],[f67]) ).
fof(f286,plain,
? [Vfresh,Ve1] :
( ? [Ve,Vx] : Vfresh = vgensym(vapp(vapp(Ve,Ve1),vvar(Vx)))
& visFreeVar(Vfresh,Ve1) ),
inference(miniscoping,[status(esa)],[f285]) ).
fof(f287,plain,
( sk0_21 = vgensym(vapp(vapp(sk0_23,sk0_22),vvar(sk0_24)))
& visFreeVar(sk0_21,sk0_22) ),
inference(skolemization,[status(esa)],[f286]) ).
fof(f288,plain,
sk0_21 = vgensym(vapp(vapp(sk0_23,sk0_22),vvar(sk0_24))),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f289,plain,
visFreeVar(sk0_21,sk0_22),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f415,plain,
! [X0,X1,X2] :
( ~ visFreeVar(X0,X1)
| visFreeVar(X0,vapp(X1,X2)) ),
inference(destructive_equality_resolution,[status(esa)],[f104]) ).
fof(f416,plain,
! [X0,X1,X2] :
( ~ visFreeVar(X0,X1)
| visFreeVar(X0,vapp(X2,X1)) ),
inference(destructive_equality_resolution,[status(esa)],[f105]) ).
fof(f429,plain,
! [X0] : ~ visFreeVar(vgensym(X0),X0),
inference(destructive_equality_resolution,[status(esa)],[f157]) ).
fof(f458,plain,
~ visFreeVar(sk0_21,vapp(vapp(sk0_23,sk0_22),vvar(sk0_24))),
inference(paramodulation,[status(thm)],[f288,f429]) ).
fof(f459,plain,
~ visFreeVar(sk0_21,vapp(sk0_23,sk0_22)),
inference(resolution,[status(thm)],[f415,f458]) ).
fof(f466,plain,
~ visFreeVar(sk0_21,sk0_22),
inference(resolution,[status(thm)],[f416,f459]) ).
fof(f467,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f466,f289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM129+1 : TPTP v8.1.2. Released v6.4.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 12:00:12 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.34 % Drodi V3.5.1
% 0.18/0.57 % Refutation found
% 0.18/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.57 % Elapsed time: 0.022721 seconds
% 0.18/0.57 % CPU time: 0.050791 seconds
% 0.18/0.57 % Memory used: 16.108 MB
%------------------------------------------------------------------------------