TSTP Solution File: TOP001-2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : TOP001-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:55:08 EDT 2024
% Result : Unsatisfiable 0.09s 0.35s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 9 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 105 ( 57 ~; 47 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [U,Vf] :
( ~ element_of_set(U,union_of_members(Vf))
| element_of_set(U,f1(Vf,U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [U,Vf] :
( ~ element_of_set(U,union_of_members(Vf))
| element_of_collection(f1(Vf,U),Vf) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [U,Vf,Uu1] :
( element_of_set(U,union_of_members(Vf))
| ~ element_of_set(U,Uu1)
| ~ element_of_collection(Uu1,Vf) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Vf] :
( ~ basis(X,Vf)
| equal_sets(union_of_members(Vf),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [U,Vf,X] :
( ~ element_of_collection(U,top_of_basis(Vf))
| ~ element_of_set(X,U)
| element_of_set(X,f10(Vf,U,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [U,Vf,X] :
( ~ element_of_collection(U,top_of_basis(Vf))
| ~ element_of_set(X,U)
| element_of_collection(f10(Vf,U,X),Vf) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,U] :
( ~ subset_sets(X,Y)
| ~ element_of_set(U,X)
| element_of_set(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y] :
( ~ equal_sets(X,Y)
| subset_sets(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] :
( subset_sets(X,Y)
| element_of_set(in_1st_set(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] :
( subset_sets(X,Y)
| ~ element_of_set(in_1st_set(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
basis(cx,f),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,plain,
! [X0,X1] :
( ~ element_of_set(X0,union_of_members(X1))
| element_of_set(X0,f1(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f15,plain,
! [X0,X1] :
( ~ element_of_set(X0,union_of_members(X1))
| element_of_collection(f1(X1,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f16,plain,
! [Vf,Uu1] :
( ! [U] :
( element_of_set(U,union_of_members(Vf))
| ~ element_of_set(U,Uu1) )
| ~ element_of_collection(Uu1,Vf) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f17,plain,
! [X0,X1,X2] :
( element_of_set(X0,union_of_members(X1))
| ~ element_of_set(X0,X2)
| ~ element_of_collection(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( ~ basis(X0,X1)
| equal_sets(union_of_members(X1),X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X2,X0)
| element_of_set(X2,f10(X1,X0,X2)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X2,X0)
| element_of_collection(f10(X1,X0,X2),X1) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
! [Y,U] :
( ! [X] :
( ~ subset_sets(X,Y)
| ~ element_of_set(U,X) )
| element_of_set(U,Y) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ subset_sets(X0,X1)
| ~ element_of_set(X2,X0)
| element_of_set(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( ~ equal_sets(X0,X1)
| subset_sets(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f25,plain,
! [X0,X1] :
( subset_sets(X0,X1)
| element_of_set(in_1st_set(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f26,plain,
! [X0,X1] :
( subset_sets(X0,X1)
| ~ element_of_set(in_1st_set(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f27,plain,
basis(cx,f),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f28,plain,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f31,plain,
~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),cx),
inference(resolution,[status(thm)],[f26,f28]) ).
fof(f32,plain,
! [X0] :
( ~ subset_sets(X0,cx)
| ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),X0) ),
inference(resolution,[status(thm)],[f31,f23]) ).
fof(f34,plain,
! [X0] :
( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),X0)
| ~ equal_sets(X0,cx) ),
inference(resolution,[status(thm)],[f32,f24]) ).
fof(f36,plain,
! [X0] :
( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(X0))
| ~ basis(cx,X0) ),
inference(resolution,[status(thm)],[f34,f18]) ).
fof(f37,plain,
~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(f)),
inference(resolution,[status(thm)],[f36,f27]) ).
fof(f38,plain,
! [X0] :
( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),X0)
| ~ element_of_collection(X0,f) ),
inference(resolution,[status(thm)],[f37,f17]) ).
fof(f52,plain,
! [X0,X1] :
( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),f10(f,X0,X1))
| ~ element_of_collection(X0,top_of_basis(f))
| ~ element_of_set(X1,X0) ),
inference(resolution,[status(thm)],[f38,f20]) ).
fof(f94,plain,
! [X0] :
( ~ element_of_collection(X0,top_of_basis(f))
| ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),X0)
| ~ element_of_collection(X0,top_of_basis(f))
| ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),X0) ),
inference(resolution,[status(thm)],[f52,f19]) ).
fof(f95,plain,
! [X0] :
( ~ element_of_collection(X0,top_of_basis(f))
| ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),X0) ),
inference(duplicate_literals_removal,[status(esa)],[f94]) ).
fof(f98,plain,
! [X0] :
( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),f1(top_of_basis(f),X0))
| ~ element_of_set(X0,union_of_members(top_of_basis(f))) ),
inference(resolution,[status(thm)],[f95,f15]) ).
fof(f104,plain,
( spl0_6
<=> element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(top_of_basis(f))) ),
introduced(split_symbol_definition) ).
fof(f106,plain,
( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(top_of_basis(f)))
| spl0_6 ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,plain,
( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(top_of_basis(f)))
| ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(top_of_basis(f))) ),
inference(resolution,[status(thm)],[f98,f14]) ).
fof(f108,plain,
~ spl0_6,
inference(split_clause,[status(thm)],[f107,f104]) ).
fof(f110,plain,
( subset_sets(union_of_members(top_of_basis(f)),cx)
| spl0_6 ),
inference(resolution,[status(thm)],[f106,f25]) ).
fof(f111,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f110,f28]) ).
fof(f112,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f111]) ).
fof(f113,plain,
$false,
inference(sat_refutation,[status(thm)],[f108,f112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : TOP001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.33 % Computer : n014.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8042.1875MB
% 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Mon Apr 29 22:05:34 EDT 2024
% 0.09/0.33 % CPUTime :
% 0.09/0.34 % Drodi V3.6.0
% 0.09/0.35 % Refutation found
% 0.09/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.37 % Elapsed time: 0.019168 seconds
% 0.09/0.37 % CPU time: 0.041714 seconds
% 0.09/0.37 % Total memory used: 2.874 MB
% 0.09/0.37 % Net memory used: 2.851 MB
%------------------------------------------------------------------------------