%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT085+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 01:25:54 PM UTC 2026
% Result : Theorem 0.14s 5.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT085+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n005.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Mon Sep 21 01:25:08 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.38 % Drodi V4.1.1
% 0.14/5.52 % Refutation found
% 0.14/5.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.52 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.52 fof(f1,axiom,(
% 0.14/5.52 (! [X] : ~ less(X,X) )),
% 0.14/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.52 fof(f4,axiom,(
% 0.14/5.52 (! [X,Y] :( leq(X,Y)<=> ( less(X,Y)| X = Y ) ) )),
% 0.14/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.52 fof(f5,axiom,(
% 0.14/5.52 (! [X,Y] :( ( leq(X,Y)& leq(Y,X) )=> X = Y ) )),
% 0.14/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.52 fof(f7,axiom,(
% 0.14/5.52 (! [X,Y,Z] :( ( leq(X,Y)& less(Y,Z) )=> less(X,Z) ) )),
% 0.14/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.52 fof(f9,axiom,(
% 0.14/5.52 (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )),
% 0.14/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.52 fof(f11,axiom,(
% 0.14/5.52 (! [X,A,B] :( in_lopen(X,A,B)<=> ( less(A,X)& leq(X,B) ) ) )),
% 0.14/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.52 fof(f37,axiom,(
% 0.14/5.52 less(v50,v100) ),
% 0.14/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.52 fof(f40,axiom,(
% 0.14/5.52 less(v100,v200) ),
% 0.14/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.52 fof(f42,axiom,(
% 0.14/5.52 less(v200,v400) ),
% 0.14/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.52 fof(f43,axiom,(
% 0.14/5.52 ( v0 != v50& v0 != v100& v0 != v200& v0 != v400& v50 != v100& v50 != v200& v50 != v400& v100 != v200& v100 != v400& v200 != v400 ) ),
% 0.14/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.52 fof(f44,conjecture,(
% 0.14/5.52 ~ (? [X,Y,Z] :( ( in_lopen(X,v0,v200)| in_lopen(Y,v0,v100)| in_lopen(Z,v0,v50) )& leq(v400,X)& leq(v200,Y)& leq(v100,Z) ) )),
% 0.14/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.52 fof(f45,negated_conjecture,(
% 0.14/5.52 ~(~ (? [X,Y,Z] :( ( in_lopen(X,v0,v200)| in_lopen(Y,v0,v100)| in_lopen(Z,v0,v50) )& leq(v400,X)& leq(v200,Y)& leq(v100,Z) ) ))),
% 0.14/5.52 inference(negated_conjecture,[status(cth)],[f44])).
% 0.14/5.52 fof(f46,plain,(
% 0.14/5.52 ![X0]: (~less(X0,X0))),
% 0.14/5.52 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.52 fof(f51,plain,(
% 0.14/5.52 ![X,Y]: ((~leq(X,Y)|(less(X,Y)|X=Y))&(leq(X,Y)|(~less(X,Y)&~X=Y)))),
% 0.14/5.52 inference(NNF_transformation,[status(thm)],[f4])).
% 0.14/5.52 fof(f52,plain,(
% 0.14/5.52 (![X,Y]: (~leq(X,Y)|(less(X,Y)|X=Y)))&(![X,Y]: (leq(X,Y)|(~less(X,Y)&~X=Y)))),
% 0.14/5.52 inference(miniscoping,[status(thm)],[f51])).
% 0.14/5.52 fof(f54,plain,(
% 0.14/5.52 ![X0,X1]: (leq(X0,X1)|~less(X0,X1))),
% 0.14/5.52 inference(cnf_transformation,[status(thm)],[f52])).
% 0.14/5.52 fof(f56,plain,(
% 0.14/5.52 ![X,Y]: ((~leq(X,Y)|~leq(Y,X))|X=Y)),
% 0.14/5.52 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.14/5.52 fof(f57,plain,(
% 0.14/5.52 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|X0=X1)),
% 0.14/5.52 inference(cnf_transformation,[status(thm)],[f56])).
% 0.14/5.52 fof(f60,plain,(
% 0.14/5.52 ![X,Y,Z]: ((~leq(X,Y)|~less(Y,Z))|less(X,Z))),
% 0.14/5.52 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.14/5.52 fof(f61,plain,(
% 0.14/5.52 ![X,Z]: ((![Y]: (~leq(X,Y)|~less(Y,Z)))|less(X,Z))),
% 0.14/5.52 inference(miniscoping,[status(thm)],[f60])).
% 0.14/5.52 fof(f62,plain,(
% 0.14/5.52 ![X0,X1,X2]: (~leq(X0,X1)|~less(X1,X2)|less(X0,X2))),
% 0.14/5.52 inference(cnf_transformation,[status(thm)],[f61])).
% 0.14/5.52 fof(f66,plain,(
% 0.14/5.52 ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))),
% 0.14/5.52 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.14/5.52 fof(f67,plain,(
% 0.14/5.52 ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))),
% 0.14/5.52 inference(miniscoping,[status(thm)],[f66])).
% 0.14/5.52 fof(f68,plain,(
% 0.14/5.52 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 0.14/5.52 inference(cnf_transformation,[status(thm)],[f67])).
% 0.14/5.52 fof(f74,plain,(
% 0.14/5.52 ![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))))),
% 0.14/5.52 inference(NNF_transformation,[status(thm)],[f11])).
% 0.14/5.52 fof(f75,plain,(
% 0.14/5.52 (![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))))),
% 0.14/5.52 inference(miniscoping,[status(thm)],[f74])).
% 0.14/5.52 fof(f77,plain,(
% 0.14/5.52 ![X0,X1,X2]: (~in_lopen(X0,X1,X2)|leq(X0,X2))),
% 0.14/5.52 inference(cnf_transformation,[status(thm)],[f75])).
% 0.14/5.52 fof(f136,plain,(
% 0.14/5.52 less(v50,v100)),
% 0.14/5.52 inference(cnf_transformation,[status(thm)],[f37])).
% 0.14/5.52 fof(f139,plain,(
% 0.14/5.52 less(v100,v200)),
% 0.14/5.52 inference(cnf_transformation,[status(thm)],[f40])).
% 0.14/5.52 fof(f141,plain,(
% 0.14/5.52 less(v200,v400)),
% 0.14/5.52 inference(cnf_transformation,[status(thm)],[f42])).
% 0.14/5.52 fof(f149,plain,(
% 0.14/5.52 ~v100=v200),
% 0.14/5.52 inference(cnf_transformation,[status(thm)],[f43])).
% 0.14/5.52 fof(f151,plain,(
% 0.14/5.52 ~v200=v400),
% 0.14/5.52 inference(cnf_transformation,[status(thm)],[f43])).
% 0.14/5.52 fof(f152,plain,(
% 0.14/5.52 ?[Z]: ((?[Y]: ((?[X]: (((in_lopen(X,v0,v200)|in_lopen(Y,v0,v100))|in_lopen(Z,v0,v50))&leq(v400,X)))&leq(v200,Y)))&leq(v100,Z))),
% 0.14/5.52 inference(miniscoping,[status(thm)],[f45])).
% 0.14/5.52 fof(f153,plain,(
% 0.14/5.52 (((((in_lopen(sK5_skl,v0,v200)|in_lopen(sK4_skl,v0,v100))|in_lopen(sK3_skl,v0,v50))&leq(v400,sK5_skl))&leq(v200,sK4_skl))&leq(v100,sK3_skl))),
% 0.14/5.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(Z,sK3_skl),skolemize(Y,sK4_skl),skolemize(X,sK5_skl)],[f152])).
% 0.14/5.52 fof(f154,plain,(
% 0.14/5.52 in_lopen(sK5_skl,v0,v200)|in_lopen(sK4_skl,v0,v100)|in_lopen(sK3_skl,v0,v50)),
% 0.14/5.52 inference(cnf_transformation,[status(thm)],[f153])).
% 0.14/5.52 fof(f155,plain,(
% 0.14/5.52 leq(v400,sK5_skl)),
% 0.14/5.52 inference(cnf_transformation,[status(thm)],[f153])).
% 0.14/5.52 fof(f156,plain,(
% 0.14/5.52 leq(v200,sK4_skl)),
% 0.14/5.52 inference(cnf_transformation,[status(thm)],[f153])).
% 0.14/5.52 fof(f157,plain,(
% 0.14/5.52 leq(v100,sK3_skl)),
% 0.14/5.52 inference(cnf_transformation,[status(thm)],[f153])).
% 0.14/5.52 fof(f174,plain,(
% 0.14/5.52 leq(v100,v200)),
% 0.14/5.52 inference(resolution,[status(thm)],[f139,f54])).
% 0.14/5.52 fof(f176,plain,(
% 0.14/5.52 leq(v200,v400)),
% 0.14/5.52 inference(resolution,[status(thm)],[f141,f54])).
% 0.14/5.52 fof(f197,plain,(
% 0.14/5.52 ![X0,X1]: (~leq(X0,X1)|~less(X1,X0))),
% 0.14/5.52 inference(resolution,[status(thm)],[f62,f46])).
% 0.14/5.52 fof(f211,plain,(
% 0.14/5.52 ~leq(v200,v100)|v200=v100),
% 0.14/5.52 inference(resolution,[status(thm)],[f174,f57])).
% 0.14/5.52 fof(f213,plain,(
% 0.14/5.52 ~leq(v200,v100)),
% 0.14/5.52 inference(forward_subsumption_resolution,[status(thm)],[f211,f149])).
% 0.14/5.52 fof(f217,plain,(
% 0.14/5.52 ~leq(v400,v200)|v400=v200),
% 0.14/5.52 inference(resolution,[status(thm)],[f176,f57])).
% 0.14/5.52 fof(f219,plain,(
% 0.14/5.52 ~leq(v400,v200)),
% 0.14/5.52 inference(forward_subsumption_resolution,[status(thm)],[f217,f151])).
% 0.14/5.52 fof(f234,plain,(
% 0.14/5.52 ![X0]: (~leq(v200,X0)|~leq(X0,v100))),
% 0.14/5.52 inference(resolution,[status(thm)],[f213,f68])).
% 0.14/5.52 fof(f236,plain,(
% 0.14/5.52 ![X0]: (~leq(v400,X0)|~leq(X0,v200))),
% 0.14/5.52 inference(resolution,[status(thm)],[f219,f68])).
% 0.14/5.52 fof(f335,plain,(
% 0.14/5.52 ~less(sK3_skl,v100)),
% 0.14/5.52 inference(resolution,[status(thm)],[f197,f157])).
% 0.14/5.52 fof(f342,plain,(
% 0.14/5.52 ![X0]: (~leq(sK3_skl,X0)|~less(X0,v100))),
% 0.14/5.52 inference(resolution,[status(thm)],[f335,f62])).
% 0.14/5.52 fof(f357,plain,(
% 0.14/5.52 leq(sK5_skl,v200)|in_lopen(sK4_skl,v0,v100)|in_lopen(sK3_skl,v0,v50)),
% 0.14/5.52 inference(resolution,[status(thm)],[f77,f154])).
% 0.14/5.52 fof(f433,plain,(
% 0.14/5.52 ~leq(sK4_skl,v100)),
% 0.14/5.52 inference(resolution,[status(thm)],[f234,f156])).
% 0.14/5.52 fof(f445,plain,(
% 0.14/5.52 ~leq(sK5_skl,v200)),
% 0.14/5.52 inference(resolution,[status(thm)],[f236,f155])).
% 0.14/5.52 fof(f449,plain,(
% 0.14/5.52 in_lopen(sK4_skl,v0,v100)|in_lopen(sK3_skl,v0,v50)),
% 0.14/5.52 inference(backward_subsumption_resolution,[status(thm)],[f357,f445])).
% 0.14/5.52 fof(f487,plain,(
% 0.14/5.52 in_lopen(sK3_skl,v0,v50)|leq(sK4_skl,v100)),
% 0.14/5.52 inference(resolution,[status(thm)],[f449,f77])).
% 0.14/5.52 fof(f489,plain,(
% 0.14/5.52 in_lopen(sK3_skl,v0,v50)),
% 0.14/5.52 inference(forward_subsumption_resolution,[status(thm)],[f487,f433])).
% 0.14/5.52 fof(f490,plain,(
% 0.14/5.52 leq(sK3_skl,v50)),
% 0.14/5.52 inference(resolution,[status(thm)],[f489,f77])).
% 0.14/5.52 fof(f492,plain,(
% 0.14/5.52 ~less(v50,v100)),
% 0.14/5.52 inference(resolution,[status(thm)],[f490,f342])).
% 0.14/5.52 fof(f499,plain,(
% 0.14/5.52 $false),
% 0.14/5.52 inference(forward_subsumption_resolution,[status(thm)],[f492,f136])).
% 0.14/5.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.53 % Elapsed time: 0.154288 seconds
% 0.14/5.53 % CPU time: 0.954954 seconds
% 0.14/5.53 % Total memory used: 93.018 MB
% 0.14/5.53 % Net memory used: 91.567 MB
%------------------------------------------------------------------------------