%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV209+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 02:50:14 PM UTC 2026
% Result : Theorem 4.74s 1.06s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV209+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 08:34:34 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 4.74/1.06 % Refutation found
% 4.74/1.06 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.74/1.06 % SZS output start CNFRefutation for theBenchmark
% 4.74/1.06 fof(f7,axiom,(
% 4.74/1.06 (! [X,Y] :( geq(X,Y)<=> leq(Y,X) ) )),
% 4.74/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.74/1.06 fof(f53,conjecture,(
% 4.74/1.06 ( ( a_select2(rho_defuse,n0) = use& a_select2(rho_defuse,n1) = use& a_select2(rho_defuse,n2) = use& a_select2(sigma_defuse,n0) = use& a_select2(sigma_defuse,n1) = use& a_select2(sigma_defuse,n2) = use& a_select2(sigma_defuse,n3) = use& a_select2(sigma_defuse,n4) = use& a_select2(sigma_defuse,n5) = use& a_select3(u_defuse,n0,n0) = use& a_select3(u_defuse,n1,n0) = use& a_select3(u_defuse,n2,n0) = use& a_select2(xinit_defuse,n3) = use& a_select2(xinit_defuse,n4) = use& a_select2(xinit_defuse,n5) = use& a_select2(xinit_mean_defuse,n0) = use& a_select2(xinit_mean_defuse,n1) = use& a_select2(xinit_mean_defuse,n2) = use& a_select2(xinit_mean_defuse,n3) = use& a_select2(xinit_mean_defuse,n4) = use& a_select2(xinit_mean_defuse,n5) = use& a_select2(xinit_noise_defuse,n0) = use& a_select2(xinit_noise_defuse,n1) = use& a_select2(xinit_noise_defuse,n2) = use& a_select2(xinit_noise_defuse,n3) = use& a_select2(xinit_noise_defuse,n4) = use& a_select2(xinit_noise_defuse,n5) = use& (! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n2)& leq(B,n998) )=> a_select3(u_defuse,A,B) = use ))& (! [C,D] :( ( leq(n0,C)& leq(n0,D)& leq(C,n2)& leq(D,n998) )=> a_select3(z_defuse,C,D) = use ) ))=> (! [E] :( ( leq(n0,E)& leq(E,n5) )=> a_select2(xinit_noise_defuse,E) = use ) )) ),
% 4.74/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.74/1.06 fof(f54,negated_conjecture,(
% 4.74/1.06 ~(( ( a_select2(rho_defuse,n0) = use& a_select2(rho_defuse,n1) = use& a_select2(rho_defuse,n2) = use& a_select2(sigma_defuse,n0) = use& a_select2(sigma_defuse,n1) = use& a_select2(sigma_defuse,n2) = use& a_select2(sigma_defuse,n3) = use& a_select2(sigma_defuse,n4) = use& a_select2(sigma_defuse,n5) = use& a_select3(u_defuse,n0,n0) = use& a_select3(u_defuse,n1,n0) = use& a_select3(u_defuse,n2,n0) = use& a_select2(xinit_defuse,n3) = use& a_select2(xinit_defuse,n4) = use& a_select2(xinit_defuse,n5) = use& a_select2(xinit_mean_defuse,n0) = use& a_select2(xinit_mean_defuse,n1) = use& a_select2(xinit_mean_defuse,n2) = use& a_select2(xinit_mean_defuse,n3) = use& a_select2(xinit_mean_defuse,n4) = use& a_select2(xinit_mean_defuse,n5) = use& a_select2(xinit_noise_defuse,n0) = use& a_select2(xinit_noise_defuse,n1) = use& a_select2(xinit_noise_defuse,n2) = use& a_select2(xinit_noise_defuse,n3) = use& a_select2(xinit_noise_defuse,n4) = use& a_select2(xinit_noise_defuse,n5) = use& (! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n2)& leq(B,n998) )=> a_select3(u_defuse,A,B) = use ))& (! [C,D] :( ( leq(n0,C)& leq(n0,D)& leq(C,n2)& leq(D,n998) )=> a_select3(z_defuse,C,D) = use ) ))=> (! [E] :( ( leq(n0,E)& leq(E,n5) )=> a_select2(xinit_noise_defuse,E) = use ) )) )),
% 4.74/1.06 inference(negated_conjecture,[status(cth)],[f53])).
% 4.74/1.06 fof(f84,axiom,(
% 4.74/1.06 (! [X] :( ( leq(n0,X)& leq(X,n5) )=> ( X = n0| X = n1| X = n2| X = n3| X = n4| X = n5 ) ) )),
% 4.74/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.74/1.06 fof(f107,plain,(
% 4.74/1.06 ![X,Y]: ((~geq(X,Y)|leq(Y,X))&(geq(X,Y)|~leq(Y,X)))),
% 4.74/1.06 inference(NNF_transformation,[status(thm)],[f7])).
% 4.74/1.06 fof(f108,plain,(
% 4.74/1.06 (![X,Y]: (~geq(X,Y)|leq(Y,X)))&(![X,Y]: (geq(X,Y)|~leq(Y,X)))),
% 4.74/1.06 inference(miniscoping,[status(thm)],[f107])).
% 4.74/1.06 fof(f109,plain,(
% 4.74/1.06 ![X0,X1]: (~geq(X0,X1)|leq(X1,X0))),
% 4.74/1.06 inference(cnf_transformation,[status(thm)],[f108])).
% 4.74/1.06 fof(f110,plain,(
% 4.74/1.06 ![X0,X1]: (geq(X0,X1)|~leq(X1,X0))),
% 4.74/1.06 inference(cnf_transformation,[status(thm)],[f108])).
% 4.74/1.06 fof(f251,plain,(
% 4.74/1.06 (((((((((((((((((((((((((((((a_select2(rho_defuse,n0)=use&a_select2(rho_defuse,n1)=use)&a_select2(rho_defuse,n2)=use)&a_select2(sigma_defuse,n0)=use)&a_select2(sigma_defuse,n1)=use)&a_select2(sigma_defuse,n2)=use)&a_select2(sigma_defuse,n3)=use)&a_select2(sigma_defuse,n4)=use)&a_select2(sigma_defuse,n5)=use)&a_select3(u_defuse,n0,n0)=use)&a_select3(u_defuse,n1,n0)=use)&a_select3(u_defuse,n2,n0)=use)&a_select2(xinit_defuse,n3)=use)&a_select2(xinit_defuse,n4)=use)&a_select2(xinit_defuse,n5)=use)&a_select2(xinit_mean_defuse,n0)=use)&a_select2(xinit_mean_defuse,n1)=use)&a_select2(xinit_mean_defuse,n2)=use)&a_select2(xinit_mean_defuse,n3)=use)&a_select2(xinit_mean_defuse,n4)=use)&a_select2(xinit_mean_defuse,n5)=use)&a_select2(xinit_noise_defuse,n0)=use)&a_select2(xinit_noise_defuse,n1)=use)&a_select2(xinit_noise_defuse,n2)=use)&a_select2(xinit_noise_defuse,n3)=use)&a_select2(xinit_noise_defuse,n4)=use)&a_select2(xinit_noise_defuse,n5)=use)&(![A,B]: ((((~leq(n0,A)|~leq(n0,B))|~leq(A,n2))|~leq(B,n998))|a_select3(u_defuse,A,B)=use)))&(![C,D]: ((((~leq(n0,C)|~leq(n0,D))|~leq(C,n2))|~leq(D,n998))|a_select3(z_defuse,C,D)=use)))&(?[E]: ((leq(n0,E)&leq(E,n5))&~a_select2(xinit_noise_defuse,E)=use)))),
% 4.74/1.06 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 4.74/1.06 fof(f252,plain,(
% 4.74/1.06 ((((((((((((((((((((((((((((a_select2(rho_defuse,n0)=use&a_select2(rho_defuse,n1)=use)&a_select2(rho_defuse,n2)=use)&a_select2(sigma_defuse,n0)=use)&a_select2(sigma_defuse,n1)=use)&a_select2(sigma_defuse,n2)=use)&a_select2(sigma_defuse,n3)=use)&a_select2(sigma_defuse,n4)=use)&a_select2(sigma_defuse,n5)=use)&a_select3(u_defuse,n0,n0)=use)&a_select3(u_defuse,n1,n0)=use)&a_select3(u_defuse,n2,n0)=use)&a_select2(xinit_defuse,n3)=use)&a_select2(xinit_defuse,n4)=use)&a_select2(xinit_defuse,n5)=use)&a_select2(xinit_mean_defuse,n0)=use)&a_select2(xinit_mean_defuse,n1)=use)&a_select2(xinit_mean_defuse,n2)=use)&a_select2(xinit_mean_defuse,n3)=use)&a_select2(xinit_mean_defuse,n4)=use)&a_select2(xinit_mean_defuse,n5)=use)&a_select2(xinit_noise_defuse,n0)=use)&a_select2(xinit_noise_defuse,n1)=use)&a_select2(xinit_noise_defuse,n2)=use)&a_select2(xinit_noise_defuse,n3)=use)&a_select2(xinit_noise_defuse,n4)=use)&a_select2(xinit_noise_defuse,n5)=use)&(![A,B]: ((((~leq(n0,A)|~leq(n0,B))|~leq(A,n2))|~leq(B,n998))|a_select3(u_defuse,A,B)=use)))&(![C,D]: ((((~leq(n0,C)|~leq(n0,D))|~leq(C,n2))|~leq(D,n998))|a_select3(z_defuse,C,D)=use)))&((leq(n0,sK23_skl)&leq(sK23_skl,n5))&~a_select2(xinit_noise_defuse,sK23_skl)=use)),
% 4.74/1.06 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(E,sK23_skl)],[f251])).
% 4.74/1.06 fof(f274,plain,(
% 4.74/1.06 a_select2(xinit_noise_defuse,n0)=use),
% 4.74/1.06 inference(cnf_transformation,[status(thm)],[f252])).
% 4.74/1.06 fof(f275,plain,(
% 4.74/1.06 a_select2(xinit_noise_defuse,n1)=use),
% 4.74/1.06 inference(cnf_transformation,[status(thm)],[f252])).
% 4.74/1.06 fof(f276,plain,(
% 4.74/1.06 a_select2(xinit_noise_defuse,n2)=use),
% 4.74/1.06 inference(cnf_transformation,[status(thm)],[f252])).
% 4.74/1.06 fof(f277,plain,(
% 4.74/1.06 a_select2(xinit_noise_defuse,n3)=use),
% 4.74/1.06 inference(cnf_transformation,[status(thm)],[f252])).
% 4.74/1.06 fof(f278,plain,(
% 4.74/1.06 a_select2(xinit_noise_defuse,n4)=use),
% 4.74/1.06 inference(cnf_transformation,[status(thm)],[f252])).
% 4.74/1.06 fof(f279,plain,(
% 4.74/1.06 a_select2(xinit_noise_defuse,n5)=use),
% 4.74/1.06 inference(cnf_transformation,[status(thm)],[f252])).
% 4.74/1.06 fof(f282,plain,(
% 4.74/1.06 leq(n0,sK23_skl)),
% 4.74/1.06 inference(cnf_transformation,[status(thm)],[f252])).
% 4.74/1.06 fof(f283,plain,(
% 4.74/1.06 leq(sK23_skl,n5)),
% 4.74/1.06 inference(cnf_transformation,[status(thm)],[f252])).
% 4.74/1.06 fof(f284,plain,(
% 4.74/1.06 ~a_select2(xinit_noise_defuse,sK23_skl)=use),
% 4.74/1.06 inference(cnf_transformation,[status(thm)],[f252])).
% 4.74/1.06 fof(f315,plain,(
% 4.74/1.06 ![X]: ((~leq(n0,X)|~leq(X,n5))|(((((X=n0|X=n1)|X=n2)|X=n3)|X=n4)|X=n5))),
% 4.74/1.06 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 4.74/1.06 fof(f316,plain,(
% 4.74/1.06 ![X0]: (~leq(n0,X0)|~leq(X0,n5)|X0=n0|X0=n1|X0=n2|X0=n3|X0=n4|X0=n5)),
% 4.74/1.06 inference(cnf_transformation,[status(thm)],[f315])).
% 4.74/1.06 fof(f472,plain,(
% 4.74/1.06 geq(sK23_skl,n0)),
% 4.74/1.06 inference(resolution,[status(thm)],[f110,f282])).
% 4.74/1.06 fof(f542,definition,(
% 4.74/1.06 sQ0_spl <=> (sK23_skl=n5)),
% 4.74/1.06 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 4.74/1.06 fof(f543,plain,(
% 4.74/1.06 sK23_skl=n5|~sQ0_spl),
% 4.74/1.06 inference(component_clause,[status(thm)],[f542])).
% 4.74/1.06 fof(f549,definition,(
% 4.74/1.06 sQ2_spl <=> (n0=sK23_skl)),
% 4.74/1.06 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 4.74/1.06 fof(f550,plain,(
% 4.74/1.06 n0=sK23_skl|~sQ2_spl),
% 4.74/1.06 inference(component_clause,[status(thm)],[f549])).
% 4.74/1.06 fof(f1084,plain,(
% 4.74/1.06 a_select2(xinit_noise_defuse,sK23_skl)=use|~sQ0_spl),
% 4.74/1.06 inference(backward_demodulation,[status(thm)],[f543,f279])).
% 4.74/1.06 fof(f1248,definition,(
% 4.74/1.07 sQ63_spl <=> (sK23_skl=n2)),
% 4.74/1.07 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 4.74/1.07 fof(f1249,plain,(
% 4.74/1.07 sK23_skl=n2|~sQ63_spl),
% 4.74/1.07 inference(component_clause,[status(thm)],[f1248])).
% 4.74/1.07 fof(f1251,definition,(
% 4.74/1.07 sQ64_spl <=> (sK23_skl=n3)),
% 4.74/1.07 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 4.74/1.07 fof(f1252,plain,(
% 4.74/1.07 sK23_skl=n3|~sQ64_spl),
% 4.74/1.07 inference(component_clause,[status(thm)],[f1251])).
% 4.74/1.07 fof(f1254,definition,(
% 4.74/1.07 sQ65_spl <=> (sK23_skl=n4)),
% 4.74/1.07 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 4.74/1.07 fof(f1255,plain,(
% 4.74/1.07 sK23_skl=n4|~sQ65_spl),
% 4.74/1.07 inference(component_clause,[status(thm)],[f1254])).
% 4.74/1.07 fof(f1848,plain,(
% 4.74/1.07 leq(n0,sK23_skl)),
% 4.74/1.07 inference(resolution,[status(thm)],[f472,f109])).
% 4.74/1.07 fof(f2399,plain,(
% 4.74/1.07 a_select2(xinit_noise_defuse,sK23_skl)=use|~sQ2_spl),
% 4.74/1.07 inference(forward_demodulation,[status(thm)],[f550,f274])).
% 4.74/1.07 fof(f2400,plain,(
% 4.74/1.07 $false|~sQ2_spl),
% 4.74/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2399,f284])).
% 4.74/1.07 fof(f2401,plain,(
% 4.74/1.07 ~sQ2_spl),
% 4.74/1.07 inference(contradiction_clause,[status(thm)],[f2400])).
% 4.74/1.07 fof(f2899,plain,(
% 4.74/1.07 a_select2(xinit_noise_defuse,sK23_skl)=use|~sQ64_spl),
% 4.74/1.07 inference(backward_demodulation,[status(thm)],[f1252,f277])).
% 4.74/1.07 fof(f2909,plain,(
% 4.74/1.07 $false|~sQ64_spl),
% 4.74/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2899,f284])).
% 4.74/1.07 fof(f2910,plain,(
% 4.74/1.07 ~sQ64_spl),
% 4.74/1.07 inference(contradiction_clause,[status(thm)],[f2909])).
% 4.74/1.07 fof(f3149,plain,(
% 4.74/1.07 ~leq(sK23_skl,n5)|sK23_skl=n0|sK23_skl=n1|sK23_skl=n2|sK23_skl=n3|sK23_skl=n4|sK23_skl=n5),
% 4.74/1.07 inference(resolution,[status(thm)],[f316,f1848])).
% 4.74/1.07 fof(f3155,definition,(
% 4.74/1.07 sQ114_spl <=> (leq(sK23_skl,n5))),
% 4.74/1.07 introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition])).
% 4.74/1.07 fof(f3157,plain,(
% 4.74/1.07 ~leq(sK23_skl,n5)|sQ114_spl),
% 4.74/1.07 inference(component_clause,[status(thm)],[f3155])).
% 4.74/1.07 fof(f3158,definition,(
% 4.74/1.07 sQ115_spl <=> (sK23_skl=n1)),
% 4.74/1.07 introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition])).
% 4.74/1.07 fof(f3159,plain,(
% 4.74/1.07 sK23_skl=n1|~sQ115_spl),
% 4.74/1.07 inference(component_clause,[status(thm)],[f3158])).
% 4.74/1.07 fof(f3161,plain,(
% 4.74/1.07 ~sQ114_spl|sQ2_spl|sQ115_spl|sQ63_spl|sQ64_spl|sQ65_spl|sQ0_spl),
% 4.74/1.07 inference(split_clause,[status(thm)],[f3149,f3155,f549,f3158,f1248,f1251,f1254,f542])).
% 4.74/1.07 fof(f3180,plain,(
% 4.74/1.07 $false|sQ114_spl),
% 4.74/1.07 inference(forward_subsumption_resolution,[status(thm)],[f3157,f283])).
% 4.74/1.07 fof(f3181,plain,(
% 4.74/1.07 sQ114_spl),
% 4.74/1.07 inference(contradiction_clause,[status(thm)],[f3180])).
% 4.74/1.07 fof(f3261,plain,(
% 4.74/1.07 $false|~sQ0_spl),
% 4.74/1.07 inference(forward_subsumption_resolution,[status(thm)],[f1084,f284])).
% 4.74/1.07 fof(f3262,plain,(
% 4.74/1.07 ~sQ0_spl),
% 4.74/1.07 inference(contradiction_clause,[status(thm)],[f3261])).
% 4.74/1.07 fof(f4784,plain,(
% 4.74/1.07 a_select2(xinit_noise_defuse,sK23_skl)=use|~sQ115_spl),
% 4.74/1.07 inference(backward_demodulation,[status(thm)],[f3159,f275])).
% 4.74/1.07 fof(f4811,plain,(
% 4.74/1.07 $false|~sQ115_spl),
% 4.74/1.07 inference(forward_subsumption_resolution,[status(thm)],[f4784,f284])).
% 4.74/1.07 fof(f4812,plain,(
% 4.74/1.07 ~sQ115_spl),
% 4.74/1.07 inference(contradiction_clause,[status(thm)],[f4811])).
% 4.74/1.07 fof(f5061,plain,(
% 4.74/1.07 a_select2(xinit_noise_defuse,sK23_skl)=use|~sQ63_spl),
% 4.74/1.07 inference(backward_demodulation,[status(thm)],[f1249,f276])).
% 4.74/1.07 fof(f5064,plain,(
% 4.74/1.07 $false|~sQ63_spl),
% 4.74/1.07 inference(forward_subsumption_resolution,[status(thm)],[f5061,f284])).
% 4.74/1.07 fof(f5065,plain,(
% 4.74/1.07 ~sQ63_spl),
% 4.74/1.07 inference(contradiction_clause,[status(thm)],[f5064])).
% 4.74/1.07 fof(f5286,plain,(
% 4.74/1.07 a_select2(xinit_noise_defuse,sK23_skl)=use|~sQ65_spl),
% 4.74/1.07 inference(forward_demodulation,[status(thm)],[f1255,f278])).
% 4.74/1.07 fof(f5287,plain,(
% 4.74/1.07 $false|~sQ65_spl),
% 4.74/1.07 inference(forward_subsumption_resolution,[status(thm)],[f5286,f284])).
% 4.74/1.07 fof(f5288,plain,(
% 4.74/1.07 ~sQ65_spl),
% 4.74/1.07 inference(contradiction_clause,[status(thm)],[f5287])).
% 4.74/1.07 fof(f5289,plain,(
% 4.74/1.07 $false),
% 4.74/1.07 inference(sat_refutation,[status(thm)],[f2401,f2910,f3161,f3181,f3262,f4812,f5065,f5288])).
% 4.74/1.07 % SZS output end CNFRefutation for theBenchmark.p
% 4.74/1.08 % Elapsed time: 0.714127 seconds
% 4.74/1.08 % CPU time: 5.351890 seconds
% 4.74/1.08 % Total memory used: 155.492 MB
% 4.74/1.08 % Net memory used: 147.234 MB
%------------------------------------------------------------------------------