TSTP Solution File: SET015-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET015-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:38:38 EDT 2024
% Result : Unsatisfiable 1.69s 0.63s
% Output : CNFRefutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 49 ( 20 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [Subset,Superset] :
( subset(Subset,Superset)
| member(member_of_1_not_of_2(Subset,Superset),Subset) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,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,
! [X,Xs,Ys] :
( ~ member(X,Xs)
| member(X,union(Xs,Ys)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Ys,Xs] :
( ~ member(X,Ys)
| member(X,union(Xs,Ys)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Xs,Ys] :
( ~ member(X,union(Xs,Ys))
| member(X,Xs)
| member(X,Ys) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [Set1,Set2] :
( ~ subset(Set1,Set2)
| ~ subset(Set2,Set1)
| equal_sets(Set2,Set1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ equal_sets(union(as,bs),union(bs,as)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [X0,X1] :
( subset(X0,X1)
| member(member_of_1_not_of_2(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f27,plain,
! [X0,X1] :
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f30,plain,
! [X,Xs] :
( ~ member(X,Xs)
| ! [Ys] : member(X,union(Xs,Ys)) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f32,plain,
! [X,Ys] :
( ~ member(X,Ys)
| ! [Xs] : member(X,union(Xs,Ys)) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ member(X0,X1)
| member(X0,union(X2,X1)) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f34,plain,
! [X,Ys] :
( ! [Xs] :
( ~ member(X,union(Xs,Ys))
| member(X,Xs) )
| member(X,Ys) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f43,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_sets(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f52,plain,
~ equal_sets(union(as,bs),union(bs,as)),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f59,plain,
! [X0,X1,X2] :
( subset(union(X0,X1),X2)
| member(member_of_1_not_of_2(union(X0,X1),X2),X0)
| member(member_of_1_not_of_2(union(X0,X1),X2),X1) ),
inference(resolution,[status(thm)],[f26,f35]) ).
fof(f73,plain,
! [X0,X1,X2] :
( subset(X0,union(X1,X2))
| ~ member(member_of_1_not_of_2(X0,union(X1,X2)),X2) ),
inference(resolution,[status(thm)],[f27,f33]) ).
fof(f74,plain,
! [X0,X1,X2] :
( subset(X0,union(X1,X2))
| ~ member(member_of_1_not_of_2(X0,union(X1,X2)),X1) ),
inference(resolution,[status(thm)],[f27,f31]) ).
fof(f138,plain,
! [X0,X1,X2] :
( subset(union(X0,X1),union(X1,X2))
| subset(union(X0,X1),union(X1,X2))
| member(member_of_1_not_of_2(union(X0,X1),union(X1,X2)),X0) ),
inference(resolution,[status(thm)],[f74,f59]) ).
fof(f139,plain,
! [X0,X1,X2] :
( subset(union(X0,X1),union(X1,X2))
| member(member_of_1_not_of_2(union(X0,X1),union(X1,X2)),X0) ),
inference(duplicate_literals_removal,[status(esa)],[f138]) ).
fof(f1174,plain,
! [X0,X1] :
( subset(union(X0,X1),union(X1,X0))
| subset(union(X0,X1),union(X1,X0)) ),
inference(resolution,[status(thm)],[f139,f73]) ).
fof(f1175,plain,
! [X0,X1] : subset(union(X0,X1),union(X1,X0)),
inference(duplicate_literals_removal,[status(esa)],[f1174]) ).
fof(f1264,plain,
! [X0,X1] :
( ~ subset(union(X0,X1),union(X1,X0))
| equal_sets(union(X1,X0),union(X0,X1)) ),
inference(resolution,[status(thm)],[f1175,f43]) ).
fof(f1265,plain,
! [X0,X1] : equal_sets(union(X0,X1),union(X1,X0)),
inference(forward_subsumption_resolution,[status(thm)],[f1264,f1175]) ).
fof(f1322,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f52,f1265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET015-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n005.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 21:35:41 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 1.69/0.63 % Refutation found
% 1.69/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.69/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.12/0.64 % Elapsed time: 0.279790 seconds
% 2.12/0.64 % CPU time: 2.144589 seconds
% 2.12/0.64 % Total memory used: 26.183 MB
% 2.12/0.64 % Net memory used: 25.165 MB
%------------------------------------------------------------------------------