%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV205+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 : n017.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 1.03s 0.70s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV205+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
% 0.11/0.37 % Computer : n017.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 08:29:57 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 1.03/0.70 % Refutation found
% 1.03/0.70 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.03/0.70 % SZS output start CNFRefutation for theBenchmark
% 1.03/0.70 fof(f7,axiom,(
% 1.03/0.70 (! [X,Y] :( geq(X,Y)<=> leq(Y,X) ) )),
% 1.03/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.03/0.70 fof(f53,conjecture,(
% 1.03/0.70 ( ( 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(sigma_defuse,E) = use ) )) ),
% 1.03/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.03/0.70 fof(f54,negated_conjecture,(
% 1.03/0.70 ~(( ( 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(sigma_defuse,E) = use ) )) )),
% 1.03/0.70 inference(negated_conjecture,[status(cth)],[f53])).
% 1.03/0.70 fof(f84,axiom,(
% 1.03/0.70 (! [X] :( ( leq(n0,X)& leq(X,n5) )=> ( X = n0| X = n1| X = n2| X = n3| X = n4| X = n5 ) ) )),
% 1.03/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.03/0.70 fof(f107,plain,(
% 1.03/0.70 ![X,Y]: ((~geq(X,Y)|leq(Y,X))&(geq(X,Y)|~leq(Y,X)))),
% 1.03/0.70 inference(NNF_transformation,[status(thm)],[f7])).
% 1.03/0.70 fof(f108,plain,(
% 1.03/0.70 (![X,Y]: (~geq(X,Y)|leq(Y,X)))&(![X,Y]: (geq(X,Y)|~leq(Y,X)))),
% 1.03/0.70 inference(miniscoping,[status(thm)],[f107])).
% 1.03/0.70 fof(f109,plain,(
% 1.03/0.70 ![X0,X1]: (~geq(X0,X1)|leq(X1,X0))),
% 1.03/0.70 inference(cnf_transformation,[status(thm)],[f108])).
% 1.03/0.70 fof(f110,plain,(
% 1.03/0.70 ![X0,X1]: (geq(X0,X1)|~leq(X1,X0))),
% 1.03/0.70 inference(cnf_transformation,[status(thm)],[f108])).
% 1.03/0.70 fof(f251,plain,(
% 1.03/0.70 (((((((((((((((((((((((((((((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(sigma_defuse,E)=use)))),
% 1.03/0.70 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 1.03/0.70 fof(f252,plain,(
% 1.03/0.70 ((((((((((((((((((((((((((((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(sigma_defuse,sK23_skl)=use)),
% 1.03/0.70 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(E,sK23_skl)],[f251])).
% 1.03/0.70 fof(f256,plain,(
% 1.03/0.70 a_select2(sigma_defuse,n0)=use),
% 1.03/0.70 inference(cnf_transformation,[status(thm)],[f252])).
% 1.03/0.70 fof(f257,plain,(
% 1.03/0.70 a_select2(sigma_defuse,n1)=use),
% 1.03/0.70 inference(cnf_transformation,[status(thm)],[f252])).
% 1.03/0.70 fof(f258,plain,(
% 1.03/0.70 a_select2(sigma_defuse,n2)=use),
% 1.03/0.70 inference(cnf_transformation,[status(thm)],[f252])).
% 1.03/0.70 fof(f259,plain,(
% 1.03/0.70 a_select2(sigma_defuse,n3)=use),
% 1.03/0.70 inference(cnf_transformation,[status(thm)],[f252])).
% 1.03/0.70 fof(f260,plain,(
% 1.03/0.70 a_select2(sigma_defuse,n4)=use),
% 1.03/0.70 inference(cnf_transformation,[status(thm)],[f252])).
% 1.03/0.70 fof(f261,plain,(
% 1.03/0.70 a_select2(sigma_defuse,n5)=use),
% 1.03/0.70 inference(cnf_transformation,[status(thm)],[f252])).
% 1.03/0.70 fof(f282,plain,(
% 1.03/0.70 leq(n0,sK23_skl)),
% 1.03/0.70 inference(cnf_transformation,[status(thm)],[f252])).
% 1.03/0.70 fof(f283,plain,(
% 1.03/0.70 leq(sK23_skl,n5)),
% 1.03/0.70 inference(cnf_transformation,[status(thm)],[f252])).
% 1.03/0.70 fof(f284,plain,(
% 1.03/0.70 ~a_select2(sigma_defuse,sK23_skl)=use),
% 1.03/0.70 inference(cnf_transformation,[status(thm)],[f252])).
% 1.03/0.70 fof(f315,plain,(
% 1.03/0.70 ![X]: ((~leq(n0,X)|~leq(X,n5))|(((((X=n0|X=n1)|X=n2)|X=n3)|X=n4)|X=n5))),
% 1.03/0.70 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 1.03/0.70 fof(f316,plain,(
% 1.03/0.70 ![X0]: (~leq(n0,X0)|~leq(X0,n5)|X0=n0|X0=n1|X0=n2|X0=n3|X0=n4|X0=n5)),
% 1.03/0.70 inference(cnf_transformation,[status(thm)],[f315])).
% 1.03/0.70 fof(f390,plain,(
% 1.03/0.70 geq(n5,sK23_skl)),
% 1.03/0.70 inference(resolution,[status(thm)],[f110,f283])).
% 1.03/0.70 fof(f417,definition,(
% 1.03/0.70 sQ0_spl <=> (sK23_skl=n5)),
% 1.03/0.70 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 1.03/0.70 fof(f418,plain,(
% 1.03/0.70 sK23_skl=n5|~sQ0_spl),
% 1.03/0.70 inference(component_clause,[status(thm)],[f417])).
% 1.03/0.70 fof(f424,definition,(
% 1.03/0.70 sQ2_spl <=> (n0=sK23_skl)),
% 1.03/0.70 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 1.03/0.70 fof(f425,plain,(
% 1.03/0.70 n0=sK23_skl|~sQ2_spl),
% 1.03/0.70 inference(component_clause,[status(thm)],[f424])).
% 1.03/0.70 fof(f434,plain,(
% 1.03/0.70 a_select2(sigma_defuse,sK23_skl)=use|~sQ2_spl),
% 1.03/0.70 inference(backward_demodulation,[status(thm)],[f425,f256])).
% 1.03/0.70 fof(f440,plain,(
% 1.03/0.70 a_select2(sigma_defuse,sK23_skl)=use|~sQ0_spl),
% 1.03/0.70 inference(backward_demodulation,[status(thm)],[f418,f261])).
% 1.03/0.71 fof(f710,definition,(
% 1.03/0.71 sQ13_spl <=> (sK23_skl=n1)),
% 1.03/0.71 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 1.03/0.71 fof(f711,plain,(
% 1.03/0.71 sK23_skl=n1|~sQ13_spl),
% 1.03/0.71 inference(component_clause,[status(thm)],[f710])).
% 1.03/0.71 fof(f713,definition,(
% 1.03/0.71 sQ14_spl <=> (sK23_skl=n2)),
% 1.03/0.71 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 1.03/0.71 fof(f714,plain,(
% 1.03/0.71 sK23_skl=n2|~sQ14_spl),
% 1.03/0.71 inference(component_clause,[status(thm)],[f713])).
% 1.03/0.71 fof(f716,definition,(
% 1.03/0.71 sQ15_spl <=> (sK23_skl=n3)),
% 1.03/0.71 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 1.03/0.71 fof(f717,plain,(
% 1.03/0.71 sK23_skl=n3|~sQ15_spl),
% 1.03/0.71 inference(component_clause,[status(thm)],[f716])).
% 1.03/0.71 fof(f719,definition,(
% 1.03/0.71 sQ16_spl <=> (sK23_skl=n4)),
% 1.03/0.71 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 1.03/0.71 fof(f720,plain,(
% 1.03/0.71 sK23_skl=n4|~sQ16_spl),
% 1.03/0.71 inference(component_clause,[status(thm)],[f719])).
% 1.03/0.71 fof(f742,plain,(
% 1.03/0.71 $false|~sQ2_spl),
% 1.03/0.71 inference(forward_subsumption_resolution,[status(thm)],[f434,f284])).
% 1.03/0.71 fof(f743,plain,(
% 1.03/0.71 ~sQ2_spl),
% 1.03/0.71 inference(contradiction_clause,[status(thm)],[f742])).
% 1.03/0.71 fof(f744,plain,(
% 1.03/0.71 ~leq(sK23_skl,n5)|sK23_skl=n0|sK23_skl=n1|sK23_skl=n2|sK23_skl=n3|sK23_skl=n4|sK23_skl=n5),
% 1.03/0.71 inference(resolution,[status(thm)],[f316,f282])).
% 1.03/0.71 fof(f746,definition,(
% 1.03/0.71 sQ23_spl <=> (leq(sK23_skl,n5))),
% 1.03/0.71 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 1.03/0.71 fof(f748,plain,(
% 1.03/0.71 ~leq(sK23_skl,n5)|sQ23_spl),
% 1.03/0.71 inference(component_clause,[status(thm)],[f746])).
% 1.03/0.71 fof(f749,plain,(
% 1.03/0.71 ~sQ23_spl|sQ2_spl|sQ13_spl|sQ14_spl|sQ15_spl|sQ16_spl|sQ0_spl),
% 1.03/0.71 inference(split_clause,[status(thm)],[f744,f746,f424,f710,f713,f716,f719,f417])).
% 1.03/0.71 fof(f757,plain,(
% 1.03/0.71 $false|~sQ0_spl),
% 1.03/0.71 inference(forward_subsumption_resolution,[status(thm)],[f440,f284])).
% 1.03/0.71 fof(f758,plain,(
% 1.03/0.71 ~sQ0_spl),
% 1.03/0.71 inference(contradiction_clause,[status(thm)],[f757])).
% 1.03/0.71 fof(f1800,plain,(
% 1.03/0.71 a_select2(sigma_defuse,sK23_skl)=use|~sQ13_spl),
% 1.03/0.71 inference(backward_demodulation,[status(thm)],[f711,f257])).
% 1.03/0.71 fof(f1817,plain,(
% 1.03/0.71 $false|~sQ13_spl),
% 1.03/0.71 inference(forward_subsumption_resolution,[status(thm)],[f1800,f284])).
% 1.03/0.71 fof(f1818,plain,(
% 1.03/0.71 ~sQ13_spl),
% 1.03/0.71 inference(contradiction_clause,[status(thm)],[f1817])).
% 1.03/0.71 fof(f2023,plain,(
% 1.03/0.71 leq(sK23_skl,n5)),
% 1.03/0.71 inference(resolution,[status(thm)],[f390,f109])).
% 1.03/0.71 fof(f2623,plain,(
% 1.03/0.71 $false|sQ23_spl),
% 1.03/0.71 inference(forward_subsumption_resolution,[status(thm)],[f748,f2023])).
% 1.03/0.71 fof(f2624,plain,(
% 1.03/0.71 sQ23_spl),
% 1.03/0.71 inference(contradiction_clause,[status(thm)],[f2623])).
% 1.03/0.71 fof(f2642,plain,(
% 1.03/0.71 a_select2(sigma_defuse,sK23_skl)=use|~sQ14_spl),
% 1.03/0.71 inference(backward_demodulation,[status(thm)],[f714,f258])).
% 1.03/0.71 fof(f2661,plain,(
% 1.03/0.71 $false|~sQ14_spl),
% 1.03/0.71 inference(forward_subsumption_resolution,[status(thm)],[f2642,f284])).
% 1.03/0.71 fof(f2662,plain,(
% 1.03/0.71 ~sQ14_spl),
% 1.03/0.71 inference(contradiction_clause,[status(thm)],[f2661])).
% 1.03/0.71 fof(f2696,plain,(
% 1.03/0.71 a_select2(sigma_defuse,sK23_skl)=use|~sQ15_spl),
% 1.03/0.71 inference(backward_demodulation,[status(thm)],[f717,f259])).
% 1.03/0.71 fof(f2706,plain,(
% 1.03/0.71 $false|~sQ15_spl),
% 1.03/0.71 inference(forward_subsumption_resolution,[status(thm)],[f2696,f284])).
% 1.03/0.71 fof(f2707,plain,(
% 1.03/0.71 ~sQ15_spl),
% 1.03/0.71 inference(contradiction_clause,[status(thm)],[f2706])).
% 1.03/0.71 fof(f2717,plain,(
% 1.03/0.71 a_select2(sigma_defuse,sK23_skl)=use|~sQ16_spl),
% 1.03/0.71 inference(backward_demodulation,[status(thm)],[f720,f260])).
% 1.03/0.71 fof(f2719,plain,(
% 1.03/0.71 $false|~sQ16_spl),
% 1.03/0.71 inference(forward_subsumption_resolution,[status(thm)],[f2717,f284])).
% 1.03/0.71 fof(f2720,plain,(
% 1.03/0.71 ~sQ16_spl),
% 1.03/0.71 inference(contradiction_clause,[status(thm)],[f2719])).
% 1.03/0.71 fof(f2721,plain,(
% 1.03/0.71 $false),
% 1.03/0.71 inference(sat_refutation,[status(thm)],[f743,f749,f758,f1818,f2624,f2662,f2707,f2720])).
% 1.03/0.71 % SZS output end CNFRefutation for theBenchmark.p
% 0.89/0.73 % Elapsed time: 0.342233 seconds
% 0.89/0.73 % CPU time: 2.335919 seconds
% 0.89/0.73 % Total memory used: 134.750 MB
% 0.89/0.73 % Net memory used: 130.260 MB
%------------------------------------------------------------------------------