TSTP Solution File: NUM042-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM042-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 : Wed May 31 12:24:23 EDT 2023
% Result : Unsatisfiable 33.06s 4.57s
% Output : CNFRefutation 33.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 45 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 16 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 47 (; 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,U] :
( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X,Y,Xr] : intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,axiom,
! [X,Y] :
( ~ subclass(restrict(X,Y,Y),complement(identity_relation))
| irreflexive(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f159,negated_conjecture,
subclass(x,complement(identity_relation)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f160,negated_conjecture,
~ irreflexive(x,domain_of(symmetrization_of(x))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f161,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f161]) ).
fof(f163,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f164,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f190,plain,
! [Z,Y] :
( ! [X] : ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f191,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f198,plain,
! [X0,X1,X2] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f294,plain,
! [X0,X1] :
( ~ subclass(restrict(X0,X1,X1),complement(identity_relation))
| irreflexive(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f348,plain,
subclass(x,complement(identity_relation)),
inference(cnf_transformation,[status(esa)],[f159]) ).
fof(f349,plain,
~ irreflexive(x,domain_of(symmetrization_of(x))),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f3440,plain,
! [X0,X1,X2] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[status(thm)],[f191,f163]) ).
fof(f4886,plain,
! [X0] :
( ~ member(X0,x)
| member(X0,complement(identity_relation)) ),
inference(resolution,[status(thm)],[f348,f162]) ).
fof(f7646,plain,
! [X0,X1] :
( member(not_subclass_element(intersection(X0,x),X1),complement(identity_relation))
| subclass(intersection(X0,x),X1) ),
inference(resolution,[status(thm)],[f4886,f3440]) ).
fof(f7687,plain,
! [X0] :
( subclass(intersection(X0,x),complement(identity_relation))
| subclass(intersection(X0,x),complement(identity_relation)) ),
inference(resolution,[status(thm)],[f7646,f164]) ).
fof(f7688,plain,
! [X0] : subclass(intersection(X0,x),complement(identity_relation)),
inference(duplicate_literals_removal,[status(esa)],[f7687]) ).
fof(f7705,plain,
! [X0,X1] : subclass(restrict(x,X0,X1),complement(identity_relation)),
inference(paramodulation,[status(thm)],[f198,f7688]) ).
fof(f16651,plain,
! [X0] : irreflexive(x,X0),
inference(resolution,[status(thm)],[f7705,f294]) ).
fof(f16997,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f349,f16651]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM042-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n008.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 09:56:38 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 33.06/4.57 % Refutation found
% 33.06/4.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 33.06/4.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 33.06/4.59 % Elapsed time: 4.267955 seconds
% 33.06/4.59 % CPU time: 33.208307 seconds
% 33.06/4.59 % Memory used: 212.822 MB
%------------------------------------------------------------------------------