TSTP Solution File: SET012-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET012-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:38:36 EDT 2024
% Result : Unsatisfiable 0.21s 0.44s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 15 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [Subset,Superset] :
( subset(Subset,Superset)
| member(member_of_1_not_of_2(Subset,Superset),Subset) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [Subset,Superset] :
( ~ member(member_of_1_not_of_2(Subset,Superset),Superset)
| subset(Subset,Superset) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Xs] :
( member(X,Xs)
| member(X,complement(Xs)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Xs] :
( ~ member(X,Xs)
| ~ member(X,complement(Xs)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [Set1,Set2] :
( ~ subset(Set1,Set2)
| ~ subset(Set2,Set1)
| equal_sets(Set2,Set1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ equal_sets(complement(complement(a)),a),
file('/export/starexec/sandbox/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(f28,plain,
! [X0,X1] :
( member(X0,X1)
| member(X0,complement(X1)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f29,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
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(complement(complement(a)),a),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f60,plain,
! [X0,X1] :
( subset(complement(X0),X1)
| ~ member(member_of_1_not_of_2(complement(X0),X1),X0) ),
inference(resolution,[status(thm)],[f26,f29]) ).
fof(f61,plain,
! [X0,X1] :
( subset(complement(complement(X0)),X1)
| member(member_of_1_not_of_2(complement(complement(X0)),X1),X0) ),
inference(resolution,[status(thm)],[f60,f28]) ).
fof(f99,plain,
! [X0] :
( subset(complement(complement(X0)),X0)
| subset(complement(complement(X0)),X0) ),
inference(resolution,[status(thm)],[f27,f61]) ).
fof(f100,plain,
! [X0] : subset(complement(complement(X0)),X0),
inference(duplicate_literals_removal,[status(esa)],[f99]) ).
fof(f103,plain,
! [X0,X1] :
( subset(X0,complement(X1))
| member(member_of_1_not_of_2(X0,complement(X1)),X1) ),
inference(resolution,[status(thm)],[f27,f28]) ).
fof(f139,plain,
! [X0] :
( ~ subset(X0,complement(complement(X0)))
| equal_sets(complement(complement(X0)),X0) ),
inference(resolution,[status(thm)],[f43,f100]) ).
fof(f227,plain,
! [X0,X1] :
( subset(X0,complement(complement(X1)))
| ~ member(member_of_1_not_of_2(X0,complement(complement(X1))),X1) ),
inference(resolution,[status(thm)],[f103,f29]) ).
fof(f251,plain,
! [X0] :
( subset(X0,complement(complement(X0)))
| subset(X0,complement(complement(X0))) ),
inference(resolution,[status(thm)],[f227,f26]) ).
fof(f252,plain,
! [X0] : subset(X0,complement(complement(X0))),
inference(duplicate_literals_removal,[status(esa)],[f251]) ).
fof(f256,plain,
! [X0] : equal_sets(complement(complement(X0)),X0),
inference(backward_subsumption_resolution,[status(thm)],[f139,f252]) ).
fof(f260,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f52,f256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET012-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 21:57:55 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.21/0.44 % Refutation found
% 0.21/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.44 % Elapsed time: 0.100469 seconds
% 0.21/0.44 % CPU time: 0.722351 seconds
% 0.21/0.44 % Total memory used: 15.107 MB
% 0.21/0.44 % Net memory used: 14.592 MB
%------------------------------------------------------------------------------