%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV210+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 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 02:50:14 PM UTC 2026
% Result : Theorem 1.04s 0.74s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV210+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:39:59 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 1.04/0.74 % Refutation found
% 1.04/0.74 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.04/0.74 % SZS output start CNFRefutation for theBenchmark
% 1.04/0.74 fof(f26,axiom,(
% 1.04/0.74 (! [Body] : sum(n0,tptp_minus_1,Body) = n0 )),
% 1.04/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.04/0.74 fof(f27,axiom,(
% 1.04/0.74 (! [Body] : tptp_float_0_0 = sum(n0,tptp_minus_1,Body) )),
% 1.04/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.04/0.74 fof(f53,conjecture,(
% 1.04/0.74 ( ( 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,F] :( ( leq(n0,E)& leq(n0,F)& leq(E,n2)& leq(F,n998) )=> a_select3(z_defuse,E,F) = use ) )) ),
% 1.04/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.04/0.74 fof(f54,negated_conjecture,(
% 1.04/0.74 ~(( ( 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,F] :( ( leq(n0,E)& leq(n0,F)& leq(E,n2)& leq(F,n998) )=> a_select3(z_defuse,E,F) = use ) )) )),
% 1.04/0.74 inference(negated_conjecture,[status(cth)],[f53])).
% 1.04/0.74 fof(f204,plain,(
% 1.04/0.74 ![X0]: (sum(n0,tptp_minus_1,X0)=n0)),
% 1.04/0.74 inference(cnf_transformation,[status(thm)],[f26])).
% 1.04/0.74 fof(f205,plain,(
% 1.04/0.74 ![X0]: (tptp_float_0_0=sum(n0,tptp_minus_1,X0))),
% 1.04/0.74 inference(cnf_transformation,[status(thm)],[f27])).
% 1.04/0.74 fof(f251,plain,(
% 1.04/0.74 (((((((((((((((((((((((((((((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,F]: ((((leq(n0,E)&leq(n0,F))&leq(E,n2))&leq(F,n998))&~a_select3(z_defuse,E,F)=use)))),
% 1.04/0.74 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 1.04/0.74 fof(f252,plain,(
% 1.04/0.74 ((((((((((((((((((((((((((((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(n0,sK24_skl))&leq(sK23_skl,n2))&leq(sK24_skl,n998))&~a_select3(z_defuse,sK23_skl,sK24_skl)=use)),
% 1.04/0.74 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(E,sK23_skl),skolemize(F,sK24_skl)],[f251])).
% 1.04/0.74 fof(f281,plain,(
% 1.04/0.74 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,n2)|~leq(X1,n998)|a_select3(z_defuse,X0,X1)=use)),
% 1.04/0.74 inference(cnf_transformation,[status(thm)],[f252])).
% 1.04/0.74 fof(f282,plain,(
% 1.04/0.74 leq(n0,sK23_skl)),
% 1.04/0.74 inference(cnf_transformation,[status(thm)],[f252])).
% 1.04/0.74 fof(f283,plain,(
% 1.04/0.74 leq(n0,sK24_skl)),
% 1.04/0.74 inference(cnf_transformation,[status(thm)],[f252])).
% 1.04/0.74 fof(f284,plain,(
% 1.04/0.74 leq(sK23_skl,n2)),
% 1.04/0.74 inference(cnf_transformation,[status(thm)],[f252])).
% 1.04/0.74 fof(f285,plain,(
% 1.04/0.74 leq(sK24_skl,n998)),
% 1.04/0.74 inference(cnf_transformation,[status(thm)],[f252])).
% 1.04/0.74 fof(f286,plain,(
% 1.04/0.74 ~a_select3(z_defuse,sK23_skl,sK24_skl)=use),
% 1.04/0.74 inference(cnf_transformation,[status(thm)],[f252])).
% 1.04/0.74 fof(f368,plain,(
% 1.04/0.74 tptp_float_0_0=n0),
% 1.04/0.74 inference(backward_demodulation,[status(thm)],[f205,f204])).
% 1.04/0.74 fof(f423,plain,(
% 1.04/0.74 leq(tptp_float_0_0,sK24_skl)),
% 1.04/0.74 inference(backward_demodulation,[status(thm)],[f368,f283])).
% 1.04/0.74 fof(f424,plain,(
% 1.04/0.74 leq(tptp_float_0_0,sK23_skl)),
% 1.04/0.74 inference(backward_demodulation,[status(thm)],[f368,f282])).
% 1.04/0.74 fof(f425,plain,(
% 1.04/0.74 ![X0,X1]: (~leq(n0,X0)|~leq(tptp_float_0_0,X1)|~leq(X0,n2)|~leq(X1,n998)|a_select3(z_defuse,X0,X1)=use)),
% 1.04/0.74 inference(backward_demodulation,[status(thm)],[f368,f281])).
% 1.04/0.74 fof(f498,plain,(
% 1.04/0.74 ![X0,X1]: (~leq(tptp_float_0_0,X0)|~leq(tptp_float_0_0,X1)|~leq(X0,n2)|~leq(X1,n998)|a_select3(z_defuse,X0,X1)=use)),
% 1.04/0.74 inference(forward_demodulation,[status(thm)],[f368,f425])).
% 1.04/0.74 fof(f694,plain,(
% 1.04/0.74 ![X0]: (~leq(tptp_float_0_0,sK23_skl)|~leq(tptp_float_0_0,X0)|~leq(X0,n998)|a_select3(z_defuse,sK23_skl,X0)=use)),
% 1.04/0.74 inference(resolution,[status(thm)],[f498,f284])).
% 1.04/0.74 fof(f699,plain,(
% 1.04/0.74 ![X0]: (~leq(tptp_float_0_0,X0)|~leq(X0,n998)|a_select3(z_defuse,sK23_skl,X0)=use)),
% 1.04/0.74 inference(forward_subsumption_resolution,[status(thm)],[f694,f424])).
% 1.04/0.74 fof(f700,plain,(
% 1.04/0.74 ~leq(tptp_float_0_0,sK24_skl)|a_select3(z_defuse,sK23_skl,sK24_skl)=use),
% 1.04/0.74 inference(resolution,[status(thm)],[f699,f285])).
% 1.04/0.74 fof(f705,plain,(
% 1.04/0.74 ~use=use),
% 1.04/0.74 inference(backward_demodulation,[status(thm)],[f706,f286])).
% 1.04/0.74 fof(f706,plain,(
% 1.04/0.74 a_select3(z_defuse,sK23_skl,sK24_skl)=use),
% 1.04/0.74 inference(forward_subsumption_resolution,[status(thm)],[f700,f423])).
% 1.04/0.74 fof(f707,plain,(
% 1.55/0.75 $false),
% 1.55/0.75 inference(trivial_equality_resolution,[status(thm)],[f705])).
% 1.55/0.75 % SZS output end CNFRefutation for theBenchmark.p
% 1.55/0.75 % Elapsed time: 0.391345 seconds
% 1.55/0.75 % CPU time: 2.819883 seconds
% 1.55/0.75 % Total memory used: 138.068 MB
% 1.55/0.75 % Net memory used: 133.314 MB
%------------------------------------------------------------------------------