%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT106+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 01:25:56 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT106+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n001.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 01:31:13 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f1,axiom,(
% 0.11/0.40 (! [X] : ~ less(X,X) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f4,axiom,(
% 0.11/0.40 (! [X,Y] :( leq(X,Y)<=> ( less(X,Y)| X = Y ) ) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f5,axiom,(
% 0.11/0.40 (! [X,Y] :( ( leq(X,Y)& leq(Y,X) )=> X = Y ) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f7,axiom,(
% 0.11/0.40 (! [X,Y,Z] :( ( leq(X,Y)& less(Y,Z) )=> less(X,Z) ) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f11,axiom,(
% 0.11/0.40 (! [X,A,B] :( in_lopen(X,A,B)<=> ( less(A,X)& leq(X,B) ) ) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f32,axiom,(
% 0.11/0.40 less(v600,v800) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f33,axiom,(
% 0.11/0.40 ( v0 != v600& v0 != v800& v600 != v800 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f35,axiom,(
% 0.11/0.40 in_lopen(w,v0,v600) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f36,axiom,(
% 0.11/0.40 leq(v800,w) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f37,plain,(
% 0.11/0.40 ![X0]: (~less(X0,X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.40 fof(f42,plain,(
% 0.11/0.40 ![X,Y]: ((~leq(X,Y)|(less(X,Y)|X=Y))&(leq(X,Y)|(~less(X,Y)&~X=Y)))),
% 0.11/0.40 inference(NNF_transformation,[status(thm)],[f4])).
% 0.11/0.40 fof(f43,plain,(
% 0.11/0.40 (![X,Y]: (~leq(X,Y)|(less(X,Y)|X=Y)))&(![X,Y]: (leq(X,Y)|(~less(X,Y)&~X=Y)))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f42])).
% 0.11/0.40 fof(f44,plain,(
% 0.11/0.40 ![X0,X1]: (~leq(X0,X1)|less(X0,X1)|X0=X1)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f43])).
% 0.11/0.40 fof(f45,plain,(
% 0.11/0.40 ![X0,X1]: (leq(X0,X1)|~less(X0,X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f43])).
% 0.11/0.40 fof(f47,plain,(
% 0.11/0.40 ![X,Y]: ((~leq(X,Y)|~leq(Y,X))|X=Y)),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.11/0.40 fof(f48,plain,(
% 0.11/0.40 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|X0=X1)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f47])).
% 0.11/0.40 fof(f51,plain,(
% 0.11/0.40 ![X,Y,Z]: ((~leq(X,Y)|~less(Y,Z))|less(X,Z))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.11/0.40 fof(f52,plain,(
% 0.11/0.40 ![X,Z]: ((![Y]: (~leq(X,Y)|~less(Y,Z)))|less(X,Z))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f51])).
% 0.11/0.40 fof(f53,plain,(
% 0.11/0.40 ![X0,X1,X2]: (~leq(X0,X1)|~less(X1,X2)|less(X0,X2))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f52])).
% 0.11/0.40 fof(f65,plain,(
% 0.11/0.40 ![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))))),
% 0.11/0.40 inference(NNF_transformation,[status(thm)],[f11])).
% 0.11/0.40 fof(f66,plain,(
% 0.11/0.40 (![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))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f65])).
% 0.11/0.40 fof(f68,plain,(
% 0.11/0.40 ![X0,X1,X2]: (~in_lopen(X0,X1,X2)|leq(X0,X2))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f66])).
% 0.11/0.40 fof(f122,plain,(
% 0.11/0.40 less(v600,v800)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.11/0.40 fof(f125,plain,(
% 0.11/0.40 ~v600=v800),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.11/0.40 fof(f127,plain,(
% 0.11/0.40 in_lopen(w,v0,v600)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f35])).
% 0.11/0.40 fof(f128,plain,(
% 0.11/0.40 leq(v800,w)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f36])).
% 0.11/0.40 fof(f154,plain,(
% 0.11/0.40 leq(v600,v800)),
% 0.11/0.40 inference(resolution,[status(thm)],[f122,f45])).
% 0.11/0.40 fof(f159,plain,(
% 0.11/0.40 ~leq(v800,v600)|v800=v600),
% 0.11/0.40 inference(resolution,[status(thm)],[f48,f154])).
% 0.11/0.40 fof(f163,plain,(
% 0.11/0.40 ~leq(v800,v600)),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f159,f125])).
% 0.11/0.40 fof(f167,plain,(
% 0.11/0.40 ![X0,X1]: (~leq(X0,X1)|~less(X1,X0))),
% 0.11/0.40 inference(resolution,[status(thm)],[f53,f37])).
% 0.11/0.40 fof(f168,plain,(
% 0.11/0.40 ~less(v800,v600)),
% 0.11/0.40 inference(resolution,[status(thm)],[f167,f154])).
% 0.11/0.40 fof(f172,plain,(
% 0.11/0.40 ![X0]: (~leq(v800,X0)|~less(X0,v600))),
% 0.11/0.40 inference(resolution,[status(thm)],[f168,f53])).
% 0.11/0.40 fof(f200,plain,(
% 0.11/0.40 leq(w,v600)),
% 0.11/0.40 inference(resolution,[status(thm)],[f68,f127])).
% 0.11/0.40 fof(f205,plain,(
% 0.11/0.40 less(w,v600)|w=v600),
% 0.11/0.40 inference(resolution,[status(thm)],[f200,f44])).
% 0.11/0.40 fof(f260,plain,(
% 0.11/0.40 ~less(w,v600)),
% 0.11/0.40 inference(resolution,[status(thm)],[f172,f128])).
% 0.11/0.40 fof(f262,plain,(
% 0.11/0.40 w=v600),
% 0.11/0.40 inference(backward_subsumption_resolution,[status(thm)],[f205,f260])).
% 0.11/0.40 fof(f272,plain,(
% 0.11/0.40 ~leq(v800,w)),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f262,f163])).
% 0.11/0.40 fof(f295,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f272,f128])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.045299 seconds
% 0.11/0.42 % CPU time: 0.113078 seconds
% 0.11/0.42 % Total memory used: 3.702 MB
% 0.11/0.42 % Net memory used: 3.591 MB
%------------------------------------------------------------------------------