%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV201+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 : n016.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 02:50:13 PM UTC 2026
% Result : Theorem 7.75s 1.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV201+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 : n016.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 08:39:23 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 7.75/1.45 % Refutation found
% 7.75/1.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.75/1.45 % SZS output start CNFRefutation for theBenchmark
% 7.75/1.45 fof(f26,axiom,(
% 7.75/1.45 (! [Body] : sum(n0,tptp_minus_1,Body) = n0 )),
% 7.75/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.75/1.45 fof(f27,axiom,(
% 7.75/1.45 (! [Body] : tptp_float_0_0 = sum(n0,tptp_minus_1,Body) )),
% 7.75/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.75/1.45 fof(f53,conjecture,(
% 7.75/1.45 ( ( 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& leq(n0,pv5)& leq(pv5,n998)& gt(pv5,n0)& (! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n2)& leq(B,pred(pv5)) )=> a_select3(u_defuse,A,B) = use ))& (! [C,D] :( ( leq(n0,C)& leq(n0,D)& leq(C,n2)& leq(D,pred(pv5)) )=> a_select3(z_defuse,C,D) = use ) ))=> (! [E,F] :( ( leq(n0,E)& leq(n0,F)& leq(E,n2)& leq(F,pred(pv5)) )=> ( ( ~ ( n0 = E& pv5 = F )& ~ ( n1 = E& pv5 = F )& ~ ( n2 = E& pv5 = F ) )=> a_select3(z_defuse,E,F) = use ) ) )) ),
% 7.75/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.75/1.45 fof(f54,negated_conjecture,(
% 7.75/1.45 ~(( ( 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& leq(n0,pv5)& leq(pv5,n998)& gt(pv5,n0)& (! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n2)& leq(B,pred(pv5)) )=> a_select3(u_defuse,A,B) = use ))& (! [C,D] :( ( leq(n0,C)& leq(n0,D)& leq(C,n2)& leq(D,pred(pv5)) )=> a_select3(z_defuse,C,D) = use ) ))=> (! [E,F] :( ( leq(n0,E)& leq(n0,F)& leq(E,n2)& leq(F,pred(pv5)) )=> ( ( ~ ( n0 = E& pv5 = F )& ~ ( n1 = E& pv5 = F )& ~ ( n2 = E& pv5 = F ) )=> a_select3(z_defuse,E,F) = use ) ) )) )),
% 7.75/1.45 inference(negated_conjecture,[status(cth)],[f53])).
% 7.75/1.45 fof(f204,plain,(
% 7.75/1.45 ![X0]: (sum(n0,tptp_minus_1,X0)=n0)),
% 7.75/1.45 inference(cnf_transformation,[status(thm)],[f26])).
% 7.75/1.45 fof(f205,plain,(
% 7.75/1.45 ![X0]: (tptp_float_0_0=sum(n0,tptp_minus_1,X0))),
% 7.75/1.45 inference(cnf_transformation,[status(thm)],[f27])).
% 7.75/1.45 fof(f251,plain,(
% 7.75/1.45 ((((((((((((((((((((((((((((((((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)&leq(n0,pv5))&leq(pv5,n998))>(pv5,n0))&(![A,B]: ((((~leq(n0,A)|~leq(n0,B))|~leq(A,n2))|~leq(B,pred(pv5)))|a_select3(u_defuse,A,B)=use)))&(![C,D]: ((((~leq(n0,C)|~leq(n0,D))|~leq(C,n2))|~leq(D,pred(pv5)))|a_select3(z_defuse,C,D)=use)))&(?[E,F]: ((((leq(n0,E)&leq(n0,F))&leq(E,n2))&leq(F,pred(pv5)))&((((~n0=E|~pv5=F)&(~n1=E|~pv5=F))&(~n2=E|~pv5=F))&~a_select3(z_defuse,E,F)=use))))),
% 7.75/1.45 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 7.75/1.45 fof(f252,plain,(
% 7.75/1.45 (((((((((((((((((((((((((((((((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)&leq(n0,pv5))&leq(pv5,n998))>(pv5,n0))&(![A,B]: ((((~leq(n0,A)|~leq(n0,B))|~leq(A,n2))|~leq(B,pred(pv5)))|a_select3(u_defuse,A,B)=use)))&(![C,D]: ((((~leq(n0,C)|~leq(n0,D))|~leq(C,n2))|~leq(D,pred(pv5)))|a_select3(z_defuse,C,D)=use)))&((((leq(n0,sK23_skl)&leq(n0,sK24_skl))&leq(sK23_skl,n2))&leq(sK24_skl,pred(pv5)))&((((~n0=sK23_skl|~pv5=sK24_skl)&(~n1=sK23_skl|~pv5=sK24_skl))&(~n2=sK23_skl|~pv5=sK24_skl))&~a_select3(z_defuse,sK23_skl,sK24_skl)=use))),
% 7.75/1.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(E,sK23_skl),skolemize(F,sK24_skl)],[f251])).
% 7.75/1.45 fof(f284,plain,(
% 7.75/1.45 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,n2)|~leq(X1,pred(pv5))|a_select3(z_defuse,X0,X1)=use)),
% 7.75/1.45 inference(cnf_transformation,[status(thm)],[f252])).
% 7.75/1.45 fof(f285,plain,(
% 7.75/1.45 leq(n0,sK23_skl)),
% 7.75/1.45 inference(cnf_transformation,[status(thm)],[f252])).
% 7.75/1.45 fof(f286,plain,(
% 7.75/1.45 leq(n0,sK24_skl)),
% 7.75/1.45 inference(cnf_transformation,[status(thm)],[f252])).
% 7.75/1.45 fof(f287,plain,(
% 7.75/1.45 leq(sK23_skl,n2)),
% 7.75/1.45 inference(cnf_transformation,[status(thm)],[f252])).
% 7.75/1.45 fof(f288,plain,(
% 7.75/1.45 leq(sK24_skl,pred(pv5))),
% 7.75/1.45 inference(cnf_transformation,[status(thm)],[f252])).
% 7.75/1.45 fof(f292,plain,(
% 7.75/1.45 ~a_select3(z_defuse,sK23_skl,sK24_skl)=use),
% 7.75/1.45 inference(cnf_transformation,[status(thm)],[f252])).
% 7.75/1.45 fof(f374,plain,(
% 7.75/1.45 tptp_float_0_0=n0),
% 7.75/1.45 inference(backward_demodulation,[status(thm)],[f205,f204])).
% 7.75/1.45 fof(f430,plain,(
% 7.75/1.45 leq(tptp_float_0_0,sK24_skl)),
% 7.75/1.45 inference(backward_demodulation,[status(thm)],[f374,f286])).
% 7.75/1.45 fof(f431,plain,(
% 7.75/1.45 leq(tptp_float_0_0,sK23_skl)),
% 7.75/1.45 inference(backward_demodulation,[status(thm)],[f374,f285])).
% 7.75/1.45 fof(f432,plain,(
% 7.75/1.45 ![X0,X1]: (~leq(n0,X0)|~leq(tptp_float_0_0,X1)|~leq(X0,n2)|~leq(X1,pred(pv5))|a_select3(z_defuse,X0,X1)=use)),
% 7.75/1.45 inference(backward_demodulation,[status(thm)],[f374,f284])).
% 7.75/1.45 fof(f507,plain,(
% 7.75/1.45 ![X0,X1]: (~leq(tptp_float_0_0,X0)|~leq(tptp_float_0_0,X1)|~leq(X0,n2)|~leq(X1,pred(pv5))|a_select3(z_defuse,X0,X1)=use)),
% 7.75/1.45 inference(forward_demodulation,[status(thm)],[f374,f432])).
% 7.75/1.45 fof(f743,plain,(
% 7.75/1.45 ![X0]: (~leq(tptp_float_0_0,sK23_skl)|~leq(tptp_float_0_0,X0)|~leq(X0,pred(pv5))|a_select3(z_defuse,sK23_skl,X0)=use)),
% 7.75/1.45 inference(resolution,[status(thm)],[f507,f287])).
% 7.75/1.45 fof(f747,plain,(
% 7.75/1.46 ![X0]: (~leq(tptp_float_0_0,X0)|~leq(X0,pred(pv5))|a_select3(z_defuse,sK23_skl,X0)=use)),
% 7.75/1.46 inference(forward_subsumption_resolution,[status(thm)],[f743,f431])).
% 7.75/1.46 fof(f1344,plain,(
% 7.75/1.46 ~leq(tptp_float_0_0,sK24_skl)|a_select3(z_defuse,sK23_skl,sK24_skl)=use),
% 7.75/1.46 inference(resolution,[status(thm)],[f747,f288])).
% 7.75/1.46 fof(f1350,plain,(
% 7.75/1.46 ~use=use),
% 7.75/1.46 inference(backward_demodulation,[status(thm)],[f1351,f292])).
% 7.75/1.46 fof(f1351,plain,(
% 7.75/1.46 a_select3(z_defuse,sK23_skl,sK24_skl)=use),
% 7.75/1.46 inference(forward_subsumption_resolution,[status(thm)],[f1344,f430])).
% 7.75/1.46 fof(f1353,plain,(
% 7.75/1.46 $false),
% 7.75/1.46 inference(trivial_equality_resolution,[status(thm)],[f1350])).
% 7.75/1.46 % SZS output end CNFRefutation for theBenchmark.p
% 7.75/1.48 % Elapsed time: 1.095891 seconds
% 7.75/1.48 % CPU time: 8.309812 seconds
% 7.75/1.48 % Total memory used: 174.110 MB
% 7.75/1.48 % Net memory used: 162.321 MB
%------------------------------------------------------------------------------