%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT086+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:25:55 PM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT086+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n009.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 01:25:28 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f4,axiom,(
% 0.14/0.39 (! [X,Y] :( leq(X,Y)<=> ( less(X,Y)| X = Y ) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f5,axiom,(
% 0.14/0.39 (! [X,Y] :( ( leq(X,Y)& leq(Y,X) )=> X = Y ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f9,axiom,(
% 0.14/0.39 (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f11,axiom,(
% 0.14/0.39 (! [X,A,B] :( in_lopen(X,A,B)<=> ( less(A,X)& leq(X,B) ) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f33,axiom,(
% 0.14/0.39 less(v0,v200) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f37,axiom,(
% 0.14/0.39 less(v200,v400) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f42,axiom,(
% 0.14/0.39 less(v600,v800) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f43,axiom,(
% 0.14/0.39 ( v0 != v200& v0 != v400& v0 != v600& v0 != v800& v200 != v400& v200 != v600& v200 != v800& v400 != v600& v400 != v800& v600 != v800 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f44,conjecture,(
% 0.14/0.39 (? [X,Y] :( leq(v800,X)& in_lopen(Y,v0,v200)& ( ( in_lopen(X,v0,v600)& ~ in_lopen(Y,v0,v400) )| ( ~ in_lopen(X,v0,v600)& in_lopen(Y,v0,v400) ) ) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f45,negated_conjecture,(
% 0.14/0.39 ~((? [X,Y] :( leq(v800,X)& in_lopen(Y,v0,v200)& ( ( in_lopen(X,v0,v600)& ~ in_lopen(Y,v0,v400) )| ( ~ in_lopen(X,v0,v600)& in_lopen(Y,v0,v400) ) ) ) ))),
% 0.14/0.39 inference(negated_conjecture,[status(cth)],[f44])).
% 0.14/0.39 fof(f51,plain,(
% 0.14/0.39 ![X,Y]: ((~leq(X,Y)|(less(X,Y)|X=Y))&(leq(X,Y)|(~less(X,Y)&~X=Y)))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f4])).
% 0.14/0.39 fof(f52,plain,(
% 0.14/0.39 (![X,Y]: (~leq(X,Y)|(less(X,Y)|X=Y)))&(![X,Y]: (leq(X,Y)|(~less(X,Y)&~X=Y)))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f51])).
% 0.14/0.39 fof(f54,plain,(
% 0.14/0.39 ![X0,X1]: (leq(X0,X1)|~less(X0,X1))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f52])).
% 0.14/0.39 fof(f55,plain,(
% 0.14/0.39 ![X0,X1]: (leq(X0,X1)|~X0=X1)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f52])).
% 0.14/0.39 fof(f56,plain,(
% 0.14/0.39 ![X,Y]: ((~leq(X,Y)|~leq(Y,X))|X=Y)),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f57,plain,(
% 0.14/0.39 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|X0=X1)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.14/0.39 fof(f66,plain,(
% 0.14/0.39 ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.14/0.39 fof(f67,plain,(
% 0.14/0.39 ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f66])).
% 0.14/0.39 fof(f68,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f67])).
% 0.14/0.39 fof(f74,plain,(
% 0.14/0.39 ![X,A,B]: ((~in_lopen(X,A,B)|(less(A,X)&leq(X,B)))&(in_lopen(X,A,B)|(~less(A,X)|~leq(X,B))))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f11])).
% 0.14/0.39 fof(f75,plain,(
% 0.14/0.39 (![X,A,B]: (~in_lopen(X,A,B)|(less(A,X)&leq(X,B))))&(![X,A,B]: (in_lopen(X,A,B)|(~less(A,X)|~leq(X,B))))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f74])).
% 0.14/0.39 fof(f76,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~in_lopen(X0,X1,X2)|less(X1,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f75])).
% 0.14/0.39 fof(f77,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~in_lopen(X0,X1,X2)|leq(X0,X2))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f75])).
% 0.14/0.39 fof(f78,plain,(
% 0.14/0.39 ![X0,X1,X2]: (in_lopen(X0,X1,X2)|~less(X1,X0)|~leq(X0,X2))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f75])).
% 0.14/0.39 fof(f132,plain,(
% 0.14/0.39 less(v0,v200)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.39 fof(f136,plain,(
% 0.14/0.39 less(v200,v400)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.14/0.39 fof(f141,plain,(
% 0.14/0.39 less(v600,v800)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f42])).
% 0.14/0.39 fof(f151,plain,(
% 0.14/0.39 ~v600=v800),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f43])).
% 0.14/0.39 fof(f152,plain,(
% 0.14/0.39 (![X,Y]: ((~leq(v800,X)|~in_lopen(Y,v0,v200))|((~in_lopen(X,v0,v600)|in_lopen(Y,v0,v400))&(in_lopen(X,v0,v600)|~in_lopen(Y,v0,v400)))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.14/0.39 fof(f154,plain,(
% 0.14/0.39 ![X0,X1]: (~leq(v800,X0)|~in_lopen(X1,v0,v200)|in_lopen(X0,v0,v600)|~in_lopen(X1,v0,v400))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f152])).
% 0.14/0.40 fof(f155,plain,(
% 0.14/0.40 ![X0]: (leq(X0,X0))),
% 0.14/0.40 inference(destructive_equality_resolution,[status(thm)],[f55])).
% 0.14/0.40 fof(f167,plain,(
% 0.14/0.40 ![X0]: (~in_lopen(X0,v0,v200)|in_lopen(v800,v0,v600)|~in_lopen(X0,v0,v400))),
% 0.14/0.40 inference(resolution,[status(thm)],[f155,f154])).
% 0.14/0.40 fof(f192,plain,(
% 0.14/0.40 leq(v200,v400)),
% 0.14/0.40 inference(resolution,[status(thm)],[f136,f54])).
% 0.14/0.40 fof(f202,plain,(
% 0.14/0.40 leq(v600,v800)),
% 0.14/0.40 inference(resolution,[status(thm)],[f141,f54])).
% 0.14/0.40 fof(f225,plain,(
% 0.14/0.40 ![X0]: (~leq(X0,v200)|leq(X0,v400))),
% 0.14/0.40 inference(resolution,[status(thm)],[f192,f68])).
% 0.14/0.40 fof(f253,plain,(
% 0.14/0.40 ~leq(v800,v600)|v800=v600),
% 0.14/0.40 inference(resolution,[status(thm)],[f202,f57])).
% 0.14/0.40 fof(f254,plain,(
% 0.14/0.40 ~leq(v800,v600)),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f253,f151])).
% 0.14/0.40 fof(f258,plain,(
% 0.14/0.40 ![X0]: (leq(v800,v600)|~in_lopen(X0,v0,v200)|~in_lopen(X0,v0,v400))),
% 0.14/0.40 inference(resolution,[status(thm)],[f77,f167])).
% 0.14/0.40 fof(f261,plain,(
% 0.14/0.40 ![X0]: (~in_lopen(X0,v0,v200)|~in_lopen(X0,v0,v400))),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f258,f254])).
% 0.14/0.40 fof(f290,plain,(
% 0.14/0.40 ![X0]: (~in_lopen(X0,v0,v400)|~less(v0,X0)|~leq(X0,v200))),
% 0.14/0.40 inference(resolution,[status(thm)],[f261,f78])).
% 0.14/0.40 fof(f291,plain,(
% 0.14/0.40 ![X0]: (~in_lopen(X0,v0,v400)|~leq(X0,v200))),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f290,f76])).
% 0.14/0.40 fof(f292,plain,(
% 0.14/0.40 ![X0]: (~leq(X0,v200)|~less(v0,X0)|~leq(X0,v400))),
% 0.14/0.40 inference(resolution,[status(thm)],[f291,f78])).
% 0.14/0.40 fof(f293,plain,(
% 0.14/0.40 ![X0]: (~leq(X0,v200)|~less(v0,X0))),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f292,f225])).
% 0.14/0.40 fof(f295,plain,(
% 0.14/0.40 ~less(v0,v200)),
% 0.14/0.40 inference(resolution,[status(thm)],[f293,f155])).
% 0.14/0.40 fof(f296,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f295,f132])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.051132 seconds
% 0.14/0.43 % CPU time: 0.169849 seconds
% 0.14/0.43 % Total memory used: 82.330 MB
% 0.14/0.43 % Net memory used: 82.209 MB
%------------------------------------------------------------------------------