TSTP Solution File: SET558-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET558-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:34:40 EDT 2023
% Result : Unsatisfiable 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 11 unt; 0 def)
% Number of atoms : 21 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 (; 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,axiom,
! [Xf] :
( ~ operation(Xf)
| cross_product(domain_of(domain_of(Xf)),domain_of(domain_of(Xf))) = domain_of(Xf) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,axiom,
! [Xh,Xf1,Xf2] :
( ~ compatible(Xh,Xf1,Xf2)
| domain_of(domain_of(Xf1)) = domain_of(Xh) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
operation(xf1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
compatible(xh,xf1,xf2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,negated_conjecture,
cross_product(domain_of(xh),domain_of(xh)) != domain_of(xf1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f203,plain,
! [X0] :
( ~ operation(X0)
| cross_product(domain_of(domain_of(X0)),domain_of(domain_of(X0))) = domain_of(X0) ),
inference(cnf_transformation,[status(esa)],[f79]) ).
fof(f208,plain,
! [Xh,Xf1] :
( ! [Xf2] : ~ compatible(Xh,Xf1,Xf2)
| domain_of(domain_of(Xf1)) = domain_of(Xh) ),
inference(miniscoping,[status(esa)],[f83]) ).
fof(f209,plain,
! [X0,X1,X2] :
( ~ compatible(X0,X1,X2)
| domain_of(domain_of(X1)) = domain_of(X0) ),
inference(cnf_transformation,[status(esa)],[f208]) ).
fof(f247,plain,
operation(xf1),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f248,plain,
compatible(xh,xf1,xf2),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f249,plain,
cross_product(domain_of(xh),domain_of(xh)) != domain_of(xf1),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f256,plain,
domain_of(domain_of(xf1)) = domain_of(xh),
inference(resolution,[status(thm)],[f209,f248]) ).
fof(f258,plain,
cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1))) = domain_of(xf1),
inference(resolution,[status(thm)],[f203,f247]) ).
fof(f259,plain,
cross_product(domain_of(xh),domain_of(domain_of(xf1))) = domain_of(xf1),
inference(forward_demodulation,[status(thm)],[f256,f258]) ).
fof(f260,plain,
cross_product(domain_of(xh),domain_of(xh)) = domain_of(xf1),
inference(forward_demodulation,[status(thm)],[f256,f259]) ).
fof(f261,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f260,f249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET558-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n028.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 10:32:17 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.56 % Elapsed time: 0.039296 seconds
% 0.16/0.56 % CPU time: 0.015813 seconds
% 0.16/0.56 % Memory used: 3.843 MB
%------------------------------------------------------------------------------