TSTP Solution File: SET009-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:38:35 EDT 2024
% Result : Unsatisfiable 0.21s 0.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 11 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 84 ( 41 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Element,Subset,Superset] :
( ~ member(Element,Subset)
| ~ subset(Subset,Superset)
| member(Element,Superset) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [Subset,Superset] :
( subset(Subset,Superset)
| member(member_of_1_not_of_2(Subset,Superset),Subset) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [Subset,Superset] :
( ~ member(member_of_1_not_of_2(Subset,Superset),Superset)
| subset(Subset,Superset) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [Set1,Set2,Difference,Element] :
( ~ difference(Set1,Set2,Difference)
| ~ member(Element,Difference)
| member(Element,Set1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [Element,Set1,Set2,A_set] :
( ~ member(Element,Set1)
| ~ member(Element,Set2)
| ~ difference(A_set,Set1,Set2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [Element,Set1,Set2,Difference] :
( ~ member(Element,Set1)
| ~ difference(Set1,Set2,Difference)
| member(Element,Difference)
| member(Element,Set2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
subset(d,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
difference(b,a,bDa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
difference(b,d,bDd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
~ subset(bDa,bDd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [Element,Superset] :
( ! [Subset] :
( ~ member(Element,Subset)
| ~ subset(Subset,Superset) )
| member(Element,Superset) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ member(X0,X1)
| ~ subset(X1,X2)
| member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( subset(X0,X1)
| member(member_of_1_not_of_2(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f20,plain,
! [X0,X1] :
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f24,plain,
! [Set1,Element] :
( ! [Difference] :
( ! [Set2] : ~ difference(Set1,Set2,Difference)
| ~ member(Element,Difference) )
| member(Element,Set1) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( ~ difference(X0,X1,X2)
| ~ member(X3,X2)
| member(X3,X0) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f26,plain,
! [Set1,Set2] :
( ! [Element] :
( ~ member(Element,Set1)
| ~ member(Element,Set2) )
| ! [A_set] : ~ difference(A_set,Set1,Set2) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| ~ difference(X3,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f28,plain,
! [Element,Set2] :
( ! [Difference] :
( ! [Set1] :
( ~ member(Element,Set1)
| ~ difference(Set1,Set2,Difference) )
| member(Element,Difference) )
| member(Element,Set2) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,X1)
| ~ difference(X1,X2,X3)
| member(X0,X3)
| member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f33,plain,
subset(d,a),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f34,plain,
difference(b,a,bDa),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f35,plain,
difference(b,d,bDd),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f36,plain,
~ subset(bDa,bDd),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f37,plain,
! [X0] :
( ~ member(X0,d)
| member(X0,a) ),
inference(resolution,[status(thm)],[f33,f18]) ).
fof(f38,plain,
~ member(member_of_1_not_of_2(bDa,bDd),bDd),
inference(resolution,[status(thm)],[f20,f36]) ).
fof(f71,plain,
! [X0] :
( ~ member(X0,bDa)
| member(X0,b) ),
inference(resolution,[status(thm)],[f25,f34]) ).
fof(f73,plain,
! [X0] :
( ~ member(X0,a)
| ~ member(X0,bDa) ),
inference(resolution,[status(thm)],[f27,f34]) ).
fof(f77,plain,
! [X0] :
( ~ member(member_of_1_not_of_2(bDa,X0),a)
| subset(bDa,X0) ),
inference(resolution,[status(thm)],[f73,f19]) ).
fof(f83,plain,
! [X0] :
( subset(bDa,X0)
| ~ member(member_of_1_not_of_2(bDa,X0),d) ),
inference(resolution,[status(thm)],[f77,f37]) ).
fof(f90,plain,
! [X0] :
( ~ member(X0,b)
| member(X0,bDd)
| member(X0,d) ),
inference(resolution,[status(thm)],[f29,f35]) ).
fof(f93,plain,
! [X0] :
( ~ member(member_of_1_not_of_2(bDa,X0),b)
| member(member_of_1_not_of_2(bDa,X0),bDd)
| subset(bDa,X0) ),
inference(resolution,[status(thm)],[f90,f83]) ).
fof(f574,plain,
! [X0] :
( member(member_of_1_not_of_2(bDa,X0),bDd)
| subset(bDa,X0)
| ~ member(member_of_1_not_of_2(bDa,X0),bDa) ),
inference(resolution,[status(thm)],[f93,f71]) ).
fof(f575,plain,
! [X0] :
( member(member_of_1_not_of_2(bDa,X0),bDd)
| subset(bDa,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f574,f19]) ).
fof(f578,plain,
subset(bDa,bDd),
inference(resolution,[status(thm)],[f575,f38]) ).
fof(f579,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f578,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 21:31:47 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.37 % Drodi V3.6.0
% 0.21/0.40 % Refutation found
% 0.21/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.42 % Elapsed time: 0.057372 seconds
% 0.21/0.42 % CPU time: 0.291149 seconds
% 0.21/0.42 % Total memory used: 10.768 MB
% 0.21/0.42 % Net memory used: 10.584 MB
%------------------------------------------------------------------------------