%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT082+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 : n004.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 0.16s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT082+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
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 01:25:04 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.16/0.39 % Drodi V4.1.1
% 0.16/0.41 % Refutation found
% 0.16/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.41 fof(f5,axiom,(
% 0.16/0.41 (! [X,Y] :( ( leq(X,Y)& leq(Y,X) )=> X = Y ) )),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f10,axiom,(
% 0.16/0.41 (! [X,A,B] :( in_closed(X,A,B)<=> ( leq(A,X)& leq(X,B) ) ) )),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f56,axiom,(
% 0.16/0.41 ( v0 != v16& v0 != v32& v0 != v300& v0 != v500& v0 != v600& v0 != v601& v16 != v32& v16 != v300& v16 != v500& v16 != v600& v16 != v601& v32 != v300& v32 != v500& v32 != v600& v32 != v601& v300 != v500& v300 != v600& v300 != v601& v500 != v600& v500 != v601& v600 != v601 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f57,conjecture,(
% 0.16/0.41 ~ (? [X,Y,Z] :( in_closed(X,v600,v600)& in_closed(X,v601,v601)& less(v300,Y)& in_open(Y,v0,v500)& leq(v16,Z)& in_lopen(Z,v0,v32) ) )),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f58,negated_conjecture,(
% 0.16/0.41 ~(~ (? [X,Y,Z] :( in_closed(X,v600,v600)& in_closed(X,v601,v601)& less(v300,Y)& in_open(Y,v0,v500)& leq(v16,Z)& in_lopen(Z,v0,v32) ) ))),
% 0.16/0.41 inference(negated_conjecture,[status(cth)],[f57])).
% 0.16/0.41 fof(f69,plain,(
% 0.16/0.41 ![X,Y]: ((~leq(X,Y)|~leq(Y,X))|X=Y)),
% 0.16/0.41 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.16/0.41 fof(f70,plain,(
% 0.16/0.41 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|X0=X1)),
% 0.16/0.41 inference(cnf_transformation,[status(thm)],[f69])).
% 0.16/0.41 fof(f82,plain,(
% 0.16/0.41 ![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))))),
% 0.16/0.41 inference(NNF_transformation,[status(thm)],[f10])).
% 0.16/0.41 fof(f83,plain,(
% 0.16/0.41 (![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))))),
% 0.16/0.41 inference(miniscoping,[status(thm)],[f82])).
% 0.16/0.41 fof(f84,plain,(
% 0.16/0.41 ![X0,X1,X2]: (~in_closed(X0,X1,X2)|leq(X1,X0))),
% 0.16/0.41 inference(cnf_transformation,[status(thm)],[f83])).
% 0.16/0.41 fof(f85,plain,(
% 0.16/0.41 ![X0,X1,X2]: (~in_closed(X0,X1,X2)|leq(X0,X2))),
% 0.16/0.41 inference(cnf_transformation,[status(thm)],[f83])).
% 0.16/0.41 fof(f188,plain,(
% 0.16/0.41 ~v600=v601),
% 0.16/0.41 inference(cnf_transformation,[status(thm)],[f56])).
% 0.16/0.41 fof(f189,plain,(
% 0.16/0.41 ?[Z]: (((?[Y]: (((?[X]: (in_closed(X,v600,v600)&in_closed(X,v601,v601)))&less(v300,Y))&in_open(Y,v0,v500)))&leq(v16,Z))&in_lopen(Z,v0,v32))),
% 0.16/0.41 inference(miniscoping,[status(thm)],[f58])).
% 0.16/0.41 fof(f190,plain,(
% 0.16/0.41 (((((in_closed(sK5_skl,v600,v600)&in_closed(sK5_skl,v601,v601))&less(v300,sK4_skl))&in_open(sK4_skl,v0,v500))&leq(v16,sK3_skl))&in_lopen(sK3_skl,v0,v32))),
% 0.16/0.41 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)],[f189])).
% 0.16/0.41 fof(f191,plain,(
% 0.16/0.41 in_closed(sK5_skl,v600,v600)),
% 0.16/0.41 inference(cnf_transformation,[status(thm)],[f190])).
% 0.16/0.41 fof(f192,plain,(
% 0.16/0.41 in_closed(sK5_skl,v601,v601)),
% 0.16/0.41 inference(cnf_transformation,[status(thm)],[f190])).
% 0.16/0.41 fof(f255,plain,(
% 0.16/0.41 leq(v601,sK5_skl)),
% 0.16/0.41 inference(resolution,[status(thm)],[f84,f192])).
% 0.16/0.41 fof(f256,plain,(
% 0.16/0.41 leq(v600,sK5_skl)),
% 0.16/0.41 inference(resolution,[status(thm)],[f84,f191])).
% 0.16/0.41 fof(f257,plain,(
% 0.16/0.41 leq(sK5_skl,v601)),
% 0.16/0.41 inference(resolution,[status(thm)],[f85,f192])).
% 0.16/0.41 fof(f258,plain,(
% 0.16/0.41 leq(sK5_skl,v600)),
% 0.16/0.41 inference(resolution,[status(thm)],[f85,f191])).
% 0.16/0.41 fof(f264,plain,(
% 0.16/0.41 ~leq(sK5_skl,v601)|sK5_skl=v601),
% 0.16/0.41 inference(resolution,[status(thm)],[f255,f70])).
% 0.16/0.41 fof(f266,plain,(
% 0.16/0.41 ~v600=sK5_skl),
% 0.16/0.41 inference(backward_demodulation,[status(thm)],[f284,f188])).
% 0.16/0.41 fof(f284,plain,(
% 0.16/0.41 sK5_skl=v601),
% 0.16/0.41 inference(forward_subsumption_resolution,[status(thm)],[f264,f257])).
% 0.16/0.41 fof(f339,plain,(
% 0.16/0.41 ~leq(sK5_skl,v600)|sK5_skl=v600),
% 0.16/0.41 inference(resolution,[status(thm)],[f256,f70])).
% 0.16/0.41 fof(f346,plain,(
% 0.16/0.41 ~sK5_skl=sK5_skl),
% 0.16/0.41 inference(backward_demodulation,[status(thm)],[f369,f266])).
% 0.16/0.41 fof(f369,plain,(
% 0.16/0.41 sK5_skl=v600),
% 0.16/0.41 inference(forward_subsumption_resolution,[status(thm)],[f339,f258])).
% 0.16/0.41 fof(f370,plain,(
% 0.16/0.41 $false),
% 0.16/0.41 inference(trivial_equality_resolution,[status(thm)],[f346])).
% 0.16/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.45 % Elapsed time: 0.063271 seconds
% 0.16/0.45 % CPU time: 0.185100 seconds
% 0.16/0.45 % Total memory used: 83.320 MB
% 0.16/0.45 % Net memory used: 83.184 MB
%------------------------------------------------------------------------------