%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT080+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 : n016.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 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT080+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
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 01:29:53 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f5,axiom,(
% 0.09/0.39 (! [X,Y] :( ( leq(X,Y)& leq(Y,X) )=> X = Y ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f10,axiom,(
% 0.09/0.39 (! [X,A,B] :( in_closed(X,A,B)<=> ( leq(A,X)& leq(X,B) ) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f73,axiom,(
% 0.09/0.39 ( v0 != v8& v0 != v32& v0 != v100& v0 != v150& v0 != v300& v0 != v500& v0 != v600& v0 != v800& v8 != v32& v8 != v100& v8 != v150& v8 != v300& v8 != v500& v8 != v600& v8 != v800& v32 != v100& v32 != v150& v32 != v300& v32 != v500& v32 != v600& v32 != v800& v100 != v150& v100 != v300& v100 != v500& v100 != v600& v100 != v800& v150 != v300& v150 != v500& v150 != v600& v150 != v800& v300 != v500& v300 != v600& v300 != v800& v500 != v600& v500 != v800& v600 != v800 ) ),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f74,conjecture,(
% 0.09/0.39 ~ (? [X,Y,Z,W] :( in_closed(X,v600,v600)& in_closed(X,v800,v800)& less(v100,Y)& in_open(Y,v0,v500)& leq(v8,Z)& in_lopen(Z,v0,v32)& in_lopen(W,v0,v300)& leq(v150,W) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f75,negated_conjecture,(
% 0.09/0.39 ~(~ (? [X,Y,Z,W] :( in_closed(X,v600,v600)& in_closed(X,v800,v800)& less(v100,Y)& in_open(Y,v0,v500)& leq(v8,Z)& in_lopen(Z,v0,v32)& in_lopen(W,v0,v300)& leq(v150,W) ) ))),
% 0.09/0.39 inference(negated_conjecture,[status(cth)],[f74])).
% 0.09/0.39 fof(f86,plain,(
% 0.09/0.39 ![X,Y]: ((~leq(X,Y)|~leq(Y,X))|X=Y)),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.09/0.39 fof(f87,plain,(
% 0.09/0.39 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|X0=X1)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f86])).
% 0.09/0.39 fof(f99,plain,(
% 0.09/0.39 ![X,A,B]: ((~in_closed(X,A,B)|(leq(A,X)&leq(X,B)))&(in_closed(X,A,B)|(~leq(A,X)|~leq(X,B))))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f10])).
% 0.09/0.39 fof(f100,plain,(
% 0.09/0.39 (![X,A,B]: (~in_closed(X,A,B)|(leq(A,X)&leq(X,B))))&(![X,A,B]: (in_closed(X,A,B)|(~leq(A,X)|~leq(X,B))))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f99])).
% 0.09/0.39 fof(f101,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~in_closed(X0,X1,X2)|leq(X1,X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f100])).
% 0.09/0.39 fof(f102,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~in_closed(X0,X1,X2)|leq(X0,X2))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f100])).
% 0.09/0.39 fof(f237,plain,(
% 0.09/0.39 ~v600=v800),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f73])).
% 0.09/0.39 fof(f238,plain,(
% 0.09/0.39 ?[W]: (((?[Z]: (((?[Y]: (((?[X]: (in_closed(X,v600,v600)&in_closed(X,v800,v800)))&less(v100,Y))&in_open(Y,v0,v500)))&leq(v8,Z))&in_lopen(Z,v0,v32)))&in_lopen(W,v0,v300))&leq(v150,W))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f75])).
% 0.09/0.39 fof(f239,plain,(
% 0.09/0.39 (((((((in_closed(sK6_skl,v600,v600)&in_closed(sK6_skl,v800,v800))&less(v100,sK5_skl))&in_open(sK5_skl,v0,v500))&leq(v8,sK4_skl))&in_lopen(sK4_skl,v0,v32))&in_lopen(sK3_skl,v0,v300))&leq(v150,sK3_skl))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(W,sK3_skl),skolemize(Z,sK4_skl),skolemize(Y,sK5_skl),skolemize(X,sK6_skl)],[f238])).
% 0.09/0.39 fof(f240,plain,(
% 0.09/0.39 in_closed(sK6_skl,v600,v600)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f239])).
% 0.09/0.39 fof(f241,plain,(
% 0.09/0.39 in_closed(sK6_skl,v800,v800)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f239])).
% 0.09/0.39 fof(f298,plain,(
% 0.09/0.39 leq(v800,sK6_skl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f101,f241])).
% 0.09/0.39 fof(f299,plain,(
% 0.09/0.39 leq(v600,sK6_skl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f101,f240])).
% 0.09/0.39 fof(f300,plain,(
% 0.09/0.39 leq(sK6_skl,v800)),
% 0.09/0.39 inference(resolution,[status(thm)],[f102,f241])).
% 0.09/0.39 fof(f301,plain,(
% 0.09/0.39 leq(sK6_skl,v600)),
% 0.09/0.39 inference(resolution,[status(thm)],[f102,f240])).
% 0.09/0.39 fof(f302,plain,(
% 0.09/0.39 ~leq(sK6_skl,v800)|sK6_skl=v800),
% 0.09/0.39 inference(resolution,[status(thm)],[f298,f87])).
% 0.09/0.39 fof(f310,plain,(
% 0.09/0.39 ~v600=sK6_skl),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f323,f237])).
% 0.09/0.39 fof(f323,plain,(
% 0.09/0.39 sK6_skl=v800),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f302,f300])).
% 0.09/0.39 fof(f346,plain,(
% 0.09/0.39 ~leq(sK6_skl,v600)|sK6_skl=v600),
% 0.09/0.39 inference(resolution,[status(thm)],[f299,f87])).
% 0.09/0.39 fof(f348,plain,(
% 0.09/0.39 ~sK6_skl=sK6_skl),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f367,f310])).
% 0.09/0.39 fof(f367,plain,(
% 0.09/0.39 sK6_skl=v600),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f346,f301])).
% 0.09/0.39 fof(f368,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(trivial_equality_resolution,[status(thm)],[f348])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.055249 seconds
% 0.09/0.43 % CPU time: 0.182441 seconds
% 0.09/0.43 % Total memory used: 84.869 MB
% 0.09/0.43 % Net memory used: 84.696 MB
%------------------------------------------------------------------------------