%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT079+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 : n026.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 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT079+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 : n026.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 01:27:37 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.42 % Refutation found
% 0.09/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.42 fof(f4,axiom,(
% 0.09/0.42 (! [X,Y] :( leq(X,Y)<=> ( less(X,Y)| X = Y ) ) )),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f5,axiom,(
% 0.09/0.42 (! [X,Y] :( ( leq(X,Y)& leq(Y,X) )=> X = Y ) )),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f11,axiom,(
% 0.09/0.42 (! [X,A,B] :( in_lopen(X,A,B)<=> ( less(A,X)& leq(X,B) ) ) )),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f35,axiom,(
% 0.09/0.42 less(v0,v16) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f36,axiom,(
% 0.09/0.42 less(v0,v32) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f41,axiom,(
% 0.09/0.42 less(v16,v32) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f42,axiom,(
% 0.09/0.42 less(v16,v400) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f47,axiom,(
% 0.09/0.42 less(v32,v600) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f56,axiom,(
% 0.09/0.42 ( v0 != v16& v0 != v32& v0 != v400& v0 != v600& v0 != v800& v0 != v1200& v16 != v32& v16 != v400& v16 != v600& v16 != v800& v16 != v1200& v32 != v400& v32 != v600& v32 != v800& v32 != v1200& v400 != v600& v400 != v800& v400 != v1200& v600 != v800& v600 != v1200& v800 != v1200 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f57,conjecture,(
% 0.09/0.42 (? [X,Y,Z] :( in_lopen(X,v0,v600)& in_lopen(Y,v0,v400)& in_lopen(Z,v0,v32)& ~ ( in_lopen(X,v0,v1200)& in_lopen(Y,v0,v800)& in_lopen(Z,v0,v16) ) ) )),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f58,negated_conjecture,(
% 0.09/0.42 ~((? [X,Y,Z] :( in_lopen(X,v0,v600)& in_lopen(Y,v0,v400)& in_lopen(Z,v0,v32)& ~ ( in_lopen(X,v0,v1200)& in_lopen(Y,v0,v800)& in_lopen(Z,v0,v16) ) ) ))),
% 0.09/0.42 inference(negated_conjecture,[status(cth)],[f57])).
% 0.09/0.42 fof(f64,plain,(
% 0.09/0.42 ![X,Y]: ((~leq(X,Y)|(less(X,Y)|X=Y))&(leq(X,Y)|(~less(X,Y)&~X=Y)))),
% 0.09/0.42 inference(NNF_transformation,[status(thm)],[f4])).
% 0.09/0.42 fof(f65,plain,(
% 0.09/0.42 (![X,Y]: (~leq(X,Y)|(less(X,Y)|X=Y)))&(![X,Y]: (leq(X,Y)|(~less(X,Y)&~X=Y)))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f64])).
% 0.09/0.42 fof(f67,plain,(
% 0.09/0.42 ![X0,X1]: (leq(X0,X1)|~less(X0,X1))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f65])).
% 0.09/0.42 fof(f68,plain,(
% 0.09/0.42 ![X0,X1]: (leq(X0,X1)|~X0=X1)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f65])).
% 0.09/0.42 fof(f69,plain,(
% 0.09/0.42 ![X,Y]: ((~leq(X,Y)|~leq(Y,X))|X=Y)),
% 0.09/0.42 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.09/0.42 fof(f70,plain,(
% 0.09/0.42 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|X0=X1)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f69])).
% 0.09/0.42 fof(f87,plain,(
% 0.09/0.42 ![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))))),
% 0.09/0.42 inference(NNF_transformation,[status(thm)],[f11])).
% 0.09/0.42 fof(f88,plain,(
% 0.09/0.42 (![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))))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f87])).
% 0.09/0.42 fof(f90,plain,(
% 0.09/0.42 ![X0,X1,X2]: (~in_lopen(X0,X1,X2)|leq(X0,X2))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f88])).
% 0.09/0.42 fof(f91,plain,(
% 0.09/0.42 ![X0,X1,X2]: (in_lopen(X0,X1,X2)|~less(X1,X0)|~leq(X0,X2))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f88])).
% 0.09/0.42 fof(f147,plain,(
% 0.09/0.42 less(v0,v16)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f35])).
% 0.09/0.42 fof(f148,plain,(
% 0.09/0.42 less(v0,v32)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f36])).
% 0.09/0.42 fof(f153,plain,(
% 0.09/0.42 less(v16,v32)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f41])).
% 0.09/0.42 fof(f154,plain,(
% 0.09/0.42 less(v16,v400)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f42])).
% 0.09/0.42 fof(f159,plain,(
% 0.09/0.42 less(v32,v600)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f47])).
% 0.09/0.42 fof(f174,plain,(
% 0.09/0.42 ~v16=v32),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f56])).
% 0.09/0.42 fof(f189,plain,(
% 0.09/0.42 (![X,Y,Z]: (((~in_lopen(X,v0,v600)|~in_lopen(Y,v0,v400))|~in_lopen(Z,v0,v32))|((in_lopen(X,v0,v1200)&in_lopen(Y,v0,v800))&in_lopen(Z,v0,v16))))),
% 0.09/0.42 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 0.09/0.42 fof(f192,plain,(
% 0.09/0.42 ![X0,X1,X2]: (~in_lopen(X0,v0,v600)|~in_lopen(X1,v0,v400)|~in_lopen(X2,v0,v32)|in_lopen(X2,v0,v16))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f189])).
% 0.09/0.42 fof(f193,plain,(
% 0.09/0.42 ![X0]: (leq(X0,X0))),
% 0.09/0.42 inference(destructive_equality_resolution,[status(thm)],[f68])).
% 0.09/0.42 fof(f206,plain,(
% 0.09/0.42 ![X0,X1,X2]: (leq(X0,v16)|~in_lopen(X1,v0,v600)|~in_lopen(X2,v0,v400)|~in_lopen(X0,v0,v32))),
% 0.09/0.42 inference(resolution,[status(thm)],[f90,f192])).
% 0.09/0.42 fof(f218,plain,(
% 0.09/0.42 ![X0]: (in_lopen(v16,v0,X0)|~leq(v16,X0))),
% 0.09/0.42 inference(resolution,[status(thm)],[f147,f91])).
% 0.09/0.42 fof(f220,plain,(
% 0.09/0.42 ![X0]: (in_lopen(v32,v0,X0)|~leq(v32,X0))),
% 0.09/0.42 inference(resolution,[status(thm)],[f148,f91])).
% 0.09/0.42 fof(f242,plain,(
% 0.09/0.42 leq(v16,v400)),
% 0.09/0.42 inference(resolution,[status(thm)],[f67,f154])).
% 0.09/0.42 fof(f243,plain,(
% 0.09/0.42 leq(v16,v32)),
% 0.09/0.42 inference(resolution,[status(thm)],[f67,f153])).
% 0.09/0.42 fof(f259,plain,(
% 0.09/0.42 leq(v32,v600)),
% 0.09/0.42 inference(resolution,[status(thm)],[f159,f67])).
% 0.09/0.42 fof(f313,plain,(
% 0.09/0.42 ~leq(v32,v16)|v32=v16),
% 0.09/0.42 inference(resolution,[status(thm)],[f243,f70])).
% 0.09/0.42 fof(f315,plain,(
% 0.09/0.42 ~leq(v32,v16)),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f313,f174])).
% 0.09/0.42 fof(f396,plain,(
% 0.09/0.42 in_lopen(v16,v0,v400)),
% 0.09/0.42 inference(resolution,[status(thm)],[f218,f242])).
% 0.09/0.42 fof(f425,plain,(
% 0.09/0.42 in_lopen(v32,v0,v600)),
% 0.09/0.42 inference(resolution,[status(thm)],[f220,f259])).
% 0.09/0.42 fof(f428,plain,(
% 0.09/0.42 in_lopen(v32,v0,v32)),
% 0.09/0.42 inference(resolution,[status(thm)],[f220,f193])).
% 0.09/0.42 fof(f453,plain,(
% 0.09/0.42 ![X0,X1]: (leq(X0,v16)|~in_lopen(X1,v0,v600)|~in_lopen(X0,v0,v32))),
% 0.09/0.42 inference(resolution,[status(thm)],[f396,f206])).
% 0.09/0.42 fof(f593,plain,(
% 0.09/0.42 ![X0]: (leq(v32,v16)|~in_lopen(X0,v0,v600))),
% 0.09/0.42 inference(resolution,[status(thm)],[f428,f453])).
% 0.09/0.42 fof(f597,plain,(
% 0.09/0.42 ![X0]: (~in_lopen(X0,v0,v600))),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f593,f315])).
% 0.09/0.42 fof(f598,plain,(
% 0.09/0.42 $false),
% 0.09/0.42 inference(backward_subsumption_resolution,[status(thm)],[f425,f597])).
% 0.09/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.44 % Elapsed time: 0.069224 seconds
% 0.09/0.44 % CPU time: 0.246071 seconds
% 0.09/0.44 % Total memory used: 84.404 MB
% 0.09/0.44 % Net memory used: 84.164 MB
%------------------------------------------------------------------------------