TSTP Solution File: SWV135+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV135+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:40:45 EDT 2023
% Result : Theorem 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 51 ( 15 ~; 9 |; 23 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 19 (; 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X,Y,Z] :
( ( leq(X,Y)
& leq(Y,Z) )
=> leq(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv1325,n3) )
=> leq(n0,pv1325) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv1325,n3) )
=> leq(n0,pv1325) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f65,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,plain,
! [X,Y,Z] :
( ~ leq(X,Y)
| ~ leq(Y,Z)
| leq(X,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f94,plain,
! [X,Z] :
( ! [Y] :
( ~ leq(X,Y)
| ~ leq(Y,Z) )
| leq(X,Z) ),
inference(miniscoping,[status(esa)],[f93]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ~ leq(X0,X1)
| ~ leq(X1,X2)
| leq(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f94]) ).
fof(f104,plain,
! [X,Y] :
( ~ gt(Y,X)
| leq(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f105,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f104]) ).
fof(f244,plain,
( leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv1325,n3)
& ~ leq(n0,pv1325) ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f248,plain,
leq(n2,pv1325),
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f253,plain,
~ leq(n0,pv1325),
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f264,plain,
gt(n2,n0),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f321,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,pv1325) ),
inference(resolution,[status(thm)],[f95,f253]) ).
fof(f322,plain,
~ leq(n0,n2),
inference(resolution,[status(thm)],[f321,f248]) ).
fof(f353,plain,
~ gt(n2,n0),
inference(resolution,[status(thm)],[f105,f322]) ).
fof(f354,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f353,f264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV135+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Tue May 30 11:46:42 EDT 2023
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.44 % Refutation found
% 0.16/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.45 % Elapsed time: 0.128497 seconds
% 0.16/0.45 % CPU time: 0.356648 seconds
% 0.16/0.45 % Memory used: 63.261 MB
%------------------------------------------------------------------------------