%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT081+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 : n014.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 0.18s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT081+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40 % Computer : n014.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Mon Sep 21 01:25:20 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.18/0.43 % Drodi V4.1.1
% 0.18/0.46 % Refutation found
% 0.18/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.46 fof(f4,axiom,(
% 0.18/0.46 (! [X,Y] :( leq(X,Y)<=> ( less(X,Y)| X = Y ) ) )),
% 0.18/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.46 fof(f5,axiom,(
% 0.18/0.46 (! [X,Y] :( ( leq(X,Y)& leq(Y,X) )=> X = Y ) )),
% 0.18/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.46 fof(f8,axiom,(
% 0.18/0.46 (! [X,Y,Z] :( ( less(X,Y)& leq(Y,Z) )=> less(X,Z) ) )),
% 0.18/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.46 fof(f11,axiom,(
% 0.18/0.46 (! [X,A,B] :( in_lopen(X,A,B)<=> ( less(A,X)& leq(X,B) ) ) )),
% 0.18/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.46 fof(f41,axiom,(
% 0.18/0.46 less(v400,v800) ),
% 0.18/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.46 fof(f43,axiom,(
% 0.18/0.46 ( v0 != v200& v0 != v400& v0 != v600& v0 != v800& v200 != v400& v200 != v600& v200 != v800& v400 != v600& v400 != v800& v600 != v800 ) ),
% 0.18/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.46 fof(f44,conjecture,(
% 0.18/0.46 ~ (? [X,Y] :( in_lopen(X,v0,v400)& leq(v800,X)& in_lopen(Y,v0,v600)& leq(v200,Y) ) )),
% 0.18/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.46 fof(f45,negated_conjecture,(
% 0.18/0.46 ~(~ (? [X,Y] :( in_lopen(X,v0,v400)& leq(v800,X)& in_lopen(Y,v0,v600)& leq(v200,Y) ) ))),
% 0.18/0.46 inference(negated_conjecture,[status(cth)],[f44])).
% 0.18/0.46 fof(f51,plain,(
% 0.18/0.46 ![X,Y]: ((~leq(X,Y)|(less(X,Y)|X=Y))&(leq(X,Y)|(~less(X,Y)&~X=Y)))),
% 0.18/0.46 inference(NNF_transformation,[status(thm)],[f4])).
% 0.18/0.46 fof(f52,plain,(
% 0.18/0.46 (![X,Y]: (~leq(X,Y)|(less(X,Y)|X=Y)))&(![X,Y]: (leq(X,Y)|(~less(X,Y)&~X=Y)))),
% 0.18/0.46 inference(miniscoping,[status(thm)],[f51])).
% 0.18/0.46 fof(f54,plain,(
% 0.18/0.46 ![X0,X1]: (leq(X0,X1)|~less(X0,X1))),
% 0.18/0.46 inference(cnf_transformation,[status(thm)],[f52])).
% 0.18/0.46 fof(f56,plain,(
% 0.18/0.46 ![X,Y]: ((~leq(X,Y)|~leq(Y,X))|X=Y)),
% 0.18/0.46 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.18/0.46 fof(f57,plain,(
% 0.18/0.46 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|X0=X1)),
% 0.18/0.46 inference(cnf_transformation,[status(thm)],[f56])).
% 0.18/0.46 fof(f63,plain,(
% 0.18/0.46 ![X,Y,Z]: ((~less(X,Y)|~leq(Y,Z))|less(X,Z))),
% 0.18/0.46 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.18/0.46 fof(f64,plain,(
% 0.18/0.46 ![X,Z]: ((![Y]: (~less(X,Y)|~leq(Y,Z)))|less(X,Z))),
% 0.18/0.46 inference(miniscoping,[status(thm)],[f63])).
% 0.18/0.46 fof(f65,plain,(
% 0.18/0.46 ![X0,X1,X2]: (~less(X0,X1)|~leq(X1,X2)|less(X0,X2))),
% 0.18/0.46 inference(cnf_transformation,[status(thm)],[f64])).
% 0.18/0.46 fof(f74,plain,(
% 0.18/0.46 ![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))))),
% 0.18/0.46 inference(NNF_transformation,[status(thm)],[f11])).
% 0.18/0.46 fof(f75,plain,(
% 0.18/0.46 (![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))))),
% 0.18/0.46 inference(miniscoping,[status(thm)],[f74])).
% 0.18/0.46 fof(f77,plain,(
% 0.18/0.46 ![X0,X1,X2]: (~in_lopen(X0,X1,X2)|leq(X0,X2))),
% 0.18/0.46 inference(cnf_transformation,[status(thm)],[f75])).
% 0.18/0.46 fof(f140,plain,(
% 0.18/0.46 less(v400,v800)),
% 0.18/0.46 inference(cnf_transformation,[status(thm)],[f41])).
% 0.18/0.46 fof(f150,plain,(
% 0.18/0.46 ~v400=v800),
% 0.18/0.46 inference(cnf_transformation,[status(thm)],[f43])).
% 0.18/0.46 fof(f152,plain,(
% 0.18/0.46 ?[Y]: (((?[X]: (in_lopen(X,v0,v400)&leq(v800,X)))&in_lopen(Y,v0,v600))&leq(v200,Y))),
% 0.18/0.46 inference(miniscoping,[status(thm)],[f45])).
% 0.18/0.46 fof(f153,plain,(
% 0.18/0.46 (((in_lopen(sK4_skl,v0,v400)&leq(v800,sK4_skl))&in_lopen(sK3_skl,v0,v600))&leq(v200,sK3_skl))),
% 0.18/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(Y,sK3_skl),skolemize(X,sK4_skl)],[f152])).
% 0.18/0.46 fof(f154,plain,(
% 0.18/0.46 in_lopen(sK4_skl,v0,v400)),
% 0.18/0.46 inference(cnf_transformation,[status(thm)],[f153])).
% 0.18/0.46 fof(f155,plain,(
% 0.18/0.46 leq(v800,sK4_skl)),
% 0.18/0.46 inference(cnf_transformation,[status(thm)],[f153])).
% 0.18/0.46 fof(f196,plain,(
% 0.18/0.46 ![X0]: (~less(X0,v800)|less(X0,sK4_skl))),
% 0.18/0.46 inference(resolution,[status(thm)],[f65,f155])).
% 0.18/0.46 fof(f229,plain,(
% 0.18/0.46 leq(v400,v800)),
% 0.18/0.46 inference(resolution,[status(thm)],[f140,f54])).
% 0.18/0.46 fof(f283,plain,(
% 0.18/0.46 less(v400,sK4_skl)),
% 0.18/0.46 inference(resolution,[status(thm)],[f196,f140])).
% 0.18/0.46 fof(f300,plain,(
% 0.18/0.46 ~leq(v800,v400)|v800=v400),
% 0.18/0.46 inference(resolution,[status(thm)],[f229,f57])).
% 0.18/0.46 fof(f301,plain,(
% 0.18/0.46 ~leq(v800,v400)),
% 0.18/0.46 inference(forward_subsumption_resolution,[status(thm)],[f300,f150])).
% 0.18/0.46 fof(f307,plain,(
% 0.18/0.46 leq(sK4_skl,v400)),
% 0.18/0.46 inference(resolution,[status(thm)],[f77,f154])).
% 0.18/0.47 fof(f315,plain,(
% 0.18/0.47 leq(v400,sK4_skl)),
% 0.18/0.47 inference(resolution,[status(thm)],[f283,f54])).
% 0.18/0.47 fof(f324,plain,(
% 0.18/0.47 ~leq(v400,sK4_skl)|v400=sK4_skl),
% 0.18/0.47 inference(resolution,[status(thm)],[f307,f57])).
% 0.18/0.47 fof(f326,plain,(
% 0.18/0.47 ~leq(v800,sK4_skl)),
% 0.18/0.47 inference(backward_demodulation,[status(thm)],[f362,f301])).
% 0.18/0.47 fof(f362,plain,(
% 0.18/0.47 v400=sK4_skl),
% 0.18/0.47 inference(forward_subsumption_resolution,[status(thm)],[f324,f315])).
% 0.18/0.47 fof(f363,plain,(
% 0.18/0.47 $false),
% 0.18/0.47 inference(forward_subsumption_resolution,[status(thm)],[f326,f155])).
% 0.18/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.52 % Elapsed time: 0.104239 seconds
% 0.18/0.52 % CPU time: 0.227102 seconds
% 0.18/0.52 % Total memory used: 39.538 MB
% 0.18/0.52 % Net memory used: 39.448 MB
%------------------------------------------------------------------------------