%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV192+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 : n026.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 02:50:12 PM UTC 2026
% Result : Theorem 0.13s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV192+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
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:36:52 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.13/0.54 % Refutation found
% 0.13/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.54 fof(f3,axiom,(
% 0.13/0.54 (! [X] : ~ gt(X,X) )),
% 0.13/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f5,axiom,(
% 0.13/0.54 (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )),
% 0.13/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f10,axiom,(
% 0.13/0.54 (! [X,Y] :( leq(X,pred(Y))<=> gt(Y,X) ) )),
% 0.13/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f13,axiom,(
% 0.13/0.54 (! [X,Y] :( leq(X,Y)<=> gt(succ(Y),X) ) )),
% 0.13/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f41,axiom,(
% 0.13/0.54 (! [X] : succ(pred(X)) = X )),
% 0.13/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f53,conjecture,(
% 0.13/0.54 ( ( 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,n0)& 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(u_defuse,E,F) = use ) ) )) ),
% 0.13/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f54,negated_conjecture,(
% 0.13/0.54 ~(( ( 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,n0)& 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(u_defuse,E,F) = use ) ) )) )),
% 0.13/0.54 inference(negated_conjecture,[status(cth)],[f53])).
% 0.13/0.54 fof(f98,plain,(
% 0.13/0.54 ![X0]: (~gt(X0,X0))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.54 fof(f100,plain,(
% 0.13/0.54 ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))),
% 0.13/0.54 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/0.54 fof(f101,plain,(
% 0.13/0.54 ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))),
% 0.13/0.54 inference(miniscoping,[status(thm)],[f100])).
% 0.13/0.54 fof(f102,plain,(
% 0.13/0.54 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f101])).
% 0.13/0.54 fof(f115,plain,(
% 0.13/0.54 ![X,Y]: ((~leq(X,pred(Y))|gt(Y,X))&(leq(X,pred(Y))|~gt(Y,X)))),
% 0.13/0.54 inference(NNF_transformation,[status(thm)],[f10])).
% 0.13/0.54 fof(f116,plain,(
% 0.13/0.54 (![X,Y]: (~leq(X,pred(Y))|gt(Y,X)))&(![X,Y]: (leq(X,pred(Y))|~gt(Y,X)))),
% 0.13/0.54 inference(miniscoping,[status(thm)],[f115])).
% 0.13/0.54 fof(f118,plain,(
% 0.13/0.54 ![X0,X1]: (leq(X0,pred(X1))|~gt(X1,X0))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f116])).
% 0.13/0.54 fof(f122,plain,(
% 0.13/0.54 ![X,Y]: ((~leq(X,Y)|gt(succ(Y),X))&(leq(X,Y)|~gt(succ(Y),X)))),
% 0.13/0.54 inference(NNF_transformation,[status(thm)],[f13])).
% 0.13/0.54 fof(f123,plain,(
% 0.13/0.54 (![X,Y]: (~leq(X,Y)|gt(succ(Y),X)))&(![X,Y]: (leq(X,Y)|~gt(succ(Y),X)))),
% 0.13/0.54 inference(miniscoping,[status(thm)],[f122])).
% 0.13/0.54 fof(f124,plain,(
% 0.13/0.54 ![X0,X1]: (~leq(X0,X1)|gt(succ(X1),X0))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f123])).
% 0.13/0.54 fof(f219,plain,(
% 0.13/0.54 ![X0]: (succ(pred(X0))=X0)),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.54 fof(f251,plain,(
% 0.13/0.54 (((((((((((((((((((((((((((((((((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,n0))&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(u_defuse,E,F)=use))))),
% 0.13/0.54 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.13/0.54 fof(f252,plain,(
% 0.13/0.54 ((((((((((((((((((((((((((((((((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,n0))&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(u_defuse,sK23_skl,sK24_skl)=use))),
% 0.13/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(E,sK23_skl),skolemize(F,sK24_skl)],[f251])).
% 0.13/0.54 fof(f281,plain,(
% 0.13/0.54 leq(pv5,n0)),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f252])).
% 0.13/0.54 fof(f283,plain,(
% 0.13/0.54 gt(pv5,n0)),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f252])).
% 0.13/0.54 fof(f541,plain,(
% 0.13/0.54 ![X0]: (~leq(succ(X0),X0))),
% 0.13/0.54 inference(resolution,[status(thm)],[f124,f98])).
% 0.13/0.54 fof(f779,plain,(
% 0.13/0.54 ![X0]: (~leq(X0,pred(X0)))),
% 0.13/0.54 inference(paramodulation,[status(thm)],[f219,f541])).
% 0.13/0.54 fof(f787,plain,(
% 0.13/0.54 ![X0,X1]: (~leq(X0,X1)|~leq(X1,pred(X0)))),
% 0.13/0.54 inference(resolution,[status(thm)],[f779,f102])).
% 0.13/0.54 fof(f1051,plain,(
% 0.13/0.54 ![X0,X1]: (~leq(X0,X1)|~gt(X0,X1))),
% 0.13/0.54 inference(resolution,[status(thm)],[f787,f118])).
% 0.13/0.54 fof(f1062,plain,(
% 0.13/0.54 ~gt(pv5,n0)),
% 0.13/0.54 inference(resolution,[status(thm)],[f1051,f281])).
% 0.13/0.54 fof(f1074,plain,(
% 0.13/0.54 $false),
% 0.13/0.54 inference(forward_subsumption_resolution,[status(thm)],[f1062,f283])).
% 0.13/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.47/0.56 % Elapsed time: 0.179194 seconds
% 0.47/0.56 % CPU time: 1.142750 seconds
% 0.47/0.56 % Total memory used: 123.244 MB
% 0.47/0.56 % Net memory used: 121.071 MB
%------------------------------------------------------------------------------