0.00/0.03 % Problem : MGT078+1 : TPTP v9.3.0. Released v9.3.0. 0.00/0.05 % Command : drodi -timeout(180) /export/starexec/sandbox/benchmark/theBenchmark.p 0.04/0.41 % Computer : n026.cluster.edu 0.04/0.41 % Model : x86_64 x86_64 0.04/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.04/0.41 % Memory : 8046.5625MB 0.04/0.41 % OS : Linux 6.8.0-71-generic 0.04/0.41 % CPULimit : 1440 0.04/0.41 % WCLimit : 180 0.04/0.41 % DateTime : Tue Aug 4 10:28:40 UTC 2026 0.04/0.41 % CPUTime : 0.04/0.43 % Drodi V4.1.1 0.04/0.48 % Refutation found 0.04/0.48 % SZS status Theorem for theBenchmark: Theorem is valid 0.04/0.48 % SZS output start CNFRefutation for theBenchmark 0.04/0.48 fof(f4,axiom,( 0.04/0.48 (! [X,Y] :( leq(X,Y)<=> ( less(X,Y)| X = Y ) ) )), 0.04/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.04/0.48 fof(f5,axiom,( 0.04/0.48 (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )), 0.04/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.04/0.48 fof(f7,axiom,( 0.04/0.48 (! [X,Y] :( ( leq(Y,X)& leq(X,Y) )=> Y = X ) )), 0.04/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.04/0.48 fof(f8,axiom,( 0.04/0.48 (! [X] : ~ less(X,X) )), 0.04/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.04/0.48 fof(f14,axiom,( 0.04/0.48 (! [X,A,B] :( in_lopen(X,A,B)<=> ( leq(X,B)& less(A,X) ) ) )), 0.04/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.04/0.48 fof(f54,axiom,( 0.04/0.48 less(v600,v1200) ), 0.04/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.04/0.48 fof(f56,conjecture,( 0.04/0.48 ~ (? [X,Y,Z] :( in_lopen(X,v0,v600)& leq(v1200,X)& in_lopen(Y,v0,v800)& leq(v200,Y)& in_lopen(Z,v0,v32)& leq(v8,Z) ) )), 0.04/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.04/0.48 fof(f57,negated_conjecture,( 0.04/0.48 ~(~ (? [X,Y,Z] :( in_lopen(X,v0,v600)& leq(v1200,X)& in_lopen(Y,v0,v800)& leq(v200,Y)& in_lopen(Z,v0,v32)& leq(v8,Z) ) ))), 0.04/0.48 inference(negated_conjecture,[status(cth)],[f56])). 0.04/0.48 fof(f65,plain,( 0.04/0.48 ![X,Y]: ((~leq(X,Y)|(less(X,Y)|X=Y))&(leq(X,Y)|(~less(X,Y)&~X=Y)))), 0.04/0.48 inference(NNF_transformation,[status(thm)],[f4])). 0.04/0.48 fof(f66,plain,( 0.04/0.48 (![X,Y]: (~leq(X,Y)|(less(X,Y)|X=Y)))&(![X,Y]: (leq(X,Y)|(~less(X,Y)&~X=Y)))), 0.04/0.48 inference(miniscoping,[status(thm)],[f65])). 0.04/0.48 fof(f68,plain,( 0.04/0.48 ![X0,X1]: (leq(X0,X1)|~less(X0,X1))), 0.04/0.48 inference(cnf_transformation,[status(thm)],[f66])). 0.04/0.48 fof(f70,plain,( 0.04/0.48 ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))), 0.04/0.48 inference(pre_NNF_transformation,[status(thm)],[f5])). 0.04/0.48 fof(f71,plain,( 0.04/0.48 ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))), 0.04/0.48 inference(miniscoping,[status(thm)],[f70])). 0.04/0.48 fof(f72,plain,( 0.04/0.48 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))), 0.04/0.48 inference(cnf_transformation,[status(thm)],[f71])). 0.04/0.48 fof(f76,plain,( 0.04/0.48 ![X,Y]: ((~leq(Y,X)|~leq(X,Y))|Y=X)), 0.04/0.48 inference(pre_NNF_transformation,[status(thm)],[f7])). 0.04/0.48 fof(f77,plain,( 0.04/0.48 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|X0=X1)), 0.04/0.48 inference(cnf_transformation,[status(thm)],[f76])). 0.04/0.48 fof(f78,plain,( 0.04/0.48 ![X0]: (~less(X0,X0))), 0.04/0.48 inference(cnf_transformation,[status(thm)],[f8])). 0.04/0.48 fof(f93,plain,( 0.04/0.48 ![X,A,B]: ((~in_lopen(X,A,B)|(leq(X,B)&less(A,X)))&(in_lopen(X,A,B)|(~leq(X,B)|~less(A,X))))), 0.04/0.48 inference(NNF_transformation,[status(thm)],[f14])). 0.04/0.48 fof(f94,plain,( 0.04/0.48 (![X,A,B]: (~in_lopen(X,A,B)|(leq(X,B)&less(A,X))))&(![X,A,B]: (in_lopen(X,A,B)|(~leq(X,B)|~less(A,X))))), 0.04/0.48 inference(miniscoping,[status(thm)],[f93])). 0.04/0.48 fof(f95,plain,( 0.04/0.48 ![X0,X1,X2]: (~in_lopen(X0,X1,X2)|leq(X0,X2))), 0.04/0.48 inference(cnf_transformation,[status(thm)],[f94])). 0.04/0.48 fof(f165,plain,( 0.04/0.48 less(v600,v1200)), 0.04/0.48 inference(cnf_transformation,[status(thm)],[f54])). 0.04/0.48 fof(f167,plain,( 0.04/0.48 ?[Z]: (((?[Y]: (((?[X]: (in_lopen(X,v0,v600)&leq(v1200,X)))&in_lopen(Y,v0,v800))&leq(v200,Y)))&in_lopen(Z,v0,v32))&leq(v8,Z))), 0.04/0.48 inference(miniscoping,[status(thm)],[f57])). 0.04/0.48 fof(f168,plain,( 0.04/0.48 (((((in_lopen(sK5_skl,v0,v600)&leq(v1200,sK5_skl))&in_lopen(sK4_skl,v0,v800))&leq(v200,sK4_skl))&in_lopen(sK3_skl,v0,v32))&leq(v8,sK3_skl))), 0.04/0.48 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)],[f167])). 0.04/0.48 fof(f169,plain,( 0.04/0.48 in_lopen(sK5_skl,v0,v600)), 0.04/0.48 inference(cnf_transformation,[status(thm)],[f168])). 0.04/0.48 fof(f170,plain,( 0.04/0.48 leq(v1200,sK5_skl)), 0.04/0.48 inference(cnf_transformation,[status(thm)],[f168])). 0.04/0.48 fof(f240,plain,( 0.04/0.48 ![X0]: (~leq(sK5_skl,X0)|leq(v1200,X0))), 0.04/0.48 inference(resolution,[status(thm)],[f72,f170])). 0.04/0.48 fof(f272,plain,( 0.04/0.48 leq(v600,v1200)), 0.04/0.48 inference(resolution,[status(thm)],[f165,f68])). 0.04/0.48 fof(f374,plain,( 0.04/0.48 leq(sK5_skl,v600)), 0.04/0.48 inference(resolution,[status(thm)],[f95,f169])). 0.04/0.48 fof(f390,plain,( 0.04/0.48 leq(v1200,v600)), 0.04/0.48 inference(resolution,[status(thm)],[f374,f240])). 0.04/0.48 fof(f394,plain,( 0.04/0.48 ~leq(v600,v1200)|v1200=v600), 0.04/0.48 inference(resolution,[status(thm)],[f390,f77])). 0.04/0.48 fof(f397,plain,( 0.04/0.48 v1200=v600), 0.04/0.48 inference(forward_subsumption_resolution,[status(thm)],[f394,f272])). 0.04/0.48 fof(f406,plain,( 0.04/0.48 less(v1200,v1200)), 0.04/0.48 inference(backward_demodulation,[status(thm)],[f397,f165])). 0.04/0.48 fof(f414,plain,( 0.04/0.48 $false), 0.04/0.48 inference(forward_subsumption_resolution,[status(thm)],[f406,f78])). 0.04/0.48 % SZS output end CNFRefutation for theBenchmark.p 0.04/0.52 % Elapsed time: 0.091896 seconds 0.04/0.52 % CPU time: 0.275963 seconds 0.04/0.52 % Total memory used: 58.971 MB 0.04/0.52 % Net memory used: 58.802 MB 0.04/0.53 EOF