TSTP Solution File: COM128+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COM128+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 : Tue Apr 30 20:14:10 EDT 2024
% Result : Theorem 0.12s 0.41s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 62 ( 33 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 65 ( 26 ~; 20 |; 10 &)
% ( 0 <=>; 9 =>; 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 : 56 ( 48 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [VVar0,VExp0,Vx,Vv] :
( ( VVar0 = Vv
& VExp0 = vvar(Vx) )
=> ( ( Vx = Vv
=> visFreeVar(VVar0,VExp0) )
& ( visFreeVar(VVar0,VExp0)
=> Vx = Vv ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [Vv,Ve] :
( vgensym(Ve) = Vv
=> ~ visFreeVar(Vv,Ve) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,conjecture,
! [Ve,Ve1,Vx,Vfresh] :
( Vfresh = vgensym(vapp(vapp(Ve,Ve1),vvar(Vx)))
=> Vx != Vfresh ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
~ ! [Ve,Ve1,Vx,Vfresh] :
( Vfresh = vgensym(vapp(vapp(Ve,Ve1),vvar(Vx)))
=> Vx != Vfresh ),
inference(negated_conjecture,[status(cth)],[f65]) ).
fof(f94,plain,
! [VVar0,VExp0,Vx,Vv] :
( VVar0 != Vv
| VExp0 != vvar(Vx)
| ( ( Vx != Vv
| visFreeVar(VVar0,VExp0) )
& ( ~ visFreeVar(VVar0,VExp0)
| Vx = Vv ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( X0 != X1
| X2 != vvar(X3)
| X3 != X1
| visFreeVar(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f94]) ).
fof(f102,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,X4)
| visFreeVar(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f102]) ).
fof(f155,plain,
! [Vv,Ve] :
( vgensym(Ve) != Vv
| ~ visFreeVar(Vv,Ve) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f156,plain,
! [X0,X1] :
( vgensym(X0) != X1
| ~ visFreeVar(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f155]) ).
fof(f281,plain,
? [Ve,Ve1,Vx,Vfresh] :
( Vfresh = vgensym(vapp(vapp(Ve,Ve1),vvar(Vx)))
& Vx = Vfresh ),
inference(pre_NNF_transformation,[status(esa)],[f66]) ).
fof(f282,plain,
? [Vx,Vfresh] :
( ? [Ve,Ve1] : Vfresh = vgensym(vapp(vapp(Ve,Ve1),vvar(Vx)))
& Vx = Vfresh ),
inference(miniscoping,[status(esa)],[f281]) ).
fof(f283,plain,
( sk0_22 = vgensym(vapp(vapp(sk0_23,sk0_24),vvar(sk0_21)))
& sk0_21 = sk0_22 ),
inference(skolemization,[status(esa)],[f282]) ).
fof(f284,plain,
sk0_22 = vgensym(vapp(vapp(sk0_23,sk0_24),vvar(sk0_21))),
inference(cnf_transformation,[status(esa)],[f283]) ).
fof(f285,plain,
sk0_21 = sk0_22,
inference(cnf_transformation,[status(esa)],[f283]) ).
fof(f406,plain,
! [X0] : visFreeVar(X0,vvar(X0)),
inference(destructive_equality_resolution,[status(esa)],[f95]) ).
fof(f412,plain,
! [X0,X1,X2] :
( ~ visFreeVar(X0,X1)
| visFreeVar(X0,vapp(X2,X1)) ),
inference(destructive_equality_resolution,[status(esa)],[f104]) ).
fof(f425,plain,
! [X0] : ~ visFreeVar(vgensym(X0),X0),
inference(destructive_equality_resolution,[status(esa)],[f156]) ).
fof(f453,plain,
sk0_21 = vgensym(vapp(vapp(sk0_23,sk0_24),vvar(sk0_21))),
inference(forward_demodulation,[status(thm)],[f285,f284]) ).
fof(f454,plain,
~ visFreeVar(sk0_21,vapp(vapp(sk0_23,sk0_24),vvar(sk0_21))),
inference(paramodulation,[status(thm)],[f453,f425]) ).
fof(f462,plain,
! [X0,X1] : visFreeVar(X0,vapp(X1,vvar(X0))),
inference(resolution,[status(thm)],[f412,f406]) ).
fof(f463,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f454,f462]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COM128+1 : TPTP v8.1.2. Released v6.4.0.
% 0.11/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n017.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Apr 30 00:35:18 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.37 % Drodi V3.6.0
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.065431 seconds
% 0.12/0.42 % CPU time: 0.353044 seconds
% 0.12/0.42 % Total memory used: 71.561 MB
% 0.12/0.42 % Net memory used: 71.379 MB
%------------------------------------------------------------------------------