%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV224+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 : n008.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 02:50:15 PM UTC 2026
% Result : Theorem 0.14s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV224+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.45 % Computer : n008.cluster.edu
% 0.14/0.45 % Model : x86_64 x86_64
% 0.14/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.45 % Memory : 8046.5625MB
% 0.14/0.45 % OS : Linux 6.8.0-71-generic
% 0.14/0.45 % CPULimit : 300
% 0.14/0.45 % WCLimit : 300
% 0.14/0.45 % DateTime : Mon Sep 21 08:35:39 UTC 2026
% 0.14/0.46 % CPUTime :
% 0.14/0.50 % Drodi V4.1.1
% 0.14/0.51 % Refutation found
% 0.14/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.51 fof(f53,conjecture,(
% 0.14/0.51 ( ( (! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n5)& leq(B,n5) )=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ))& (! [C,D] :( ( leq(n0,C)& leq(n0,D)& leq(C,n2)& leq(D,n2) )=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) ))=> (! [E,F] :( ( leq(n0,E)& leq(n0,F)& leq(E,n5)& leq(F,n5) )=> ( ( ~ ( n0 = E& n1 = F )& ~ ( n0 = E& n2 = F )& ~ ( n0 = E& n3 = F )& ~ ( n0 = E& n4 = F )& ~ ( n0 = E& n5 = F )& ~ ( n0 = F& n4 = E )& ~ ( n0 = F& n5 = E )& ~ ( n1 = E& n1 = F )& ~ ( n1 = E& n2 = F )& ~ ( n1 = E& n3 = F )& ~ ( n1 = E& n4 = F )& ~ ( n1 = E& n5 = F )& ~ ( n1 = F& n2 = E )& ~ ( n1 = F& n3 = E )& ~ ( n1 = F& n4 = E )& ~ ( n1 = F& n5 = E )& ~ ( n2 = E& n2 = F )& ~ ( n2 = E& n3 = F )& ~ ( n2 = E& n4 = F )& ~ ( n2 = E& n5 = F )& ~ ( n2 = F& n3 = E )& ~ ( n2 = F& n4 = E )& ~ ( n2 = F& n5 = E )& ~ ( n3 = E& n3 = F )& ~ ( n3 = E& n4 = F )& ~ ( n3 = E& n5 = F )& ~ ( n3 = F& n4 = E )& ~ ( n3 = F& n5 = E )& ~ ( n4 = E& n4 = F )& ~ ( n4 = E& n5 = F )& ~ ( n4 = F& n5 = E )& ~ ( n5 = E& n5 = F )& n0 = F& n3 = E& n3 = F& n4 = E )=> a_select2(xinit_noise,n3) = n0 ) ) )) ),
% 0.14/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.51 fof(f54,negated_conjecture,(
% 0.14/0.51 ~(( ( (! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n5)& leq(B,n5) )=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ))& (! [C,D] :( ( leq(n0,C)& leq(n0,D)& leq(C,n2)& leq(D,n2) )=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) ))=> (! [E,F] :( ( leq(n0,E)& leq(n0,F)& leq(E,n5)& leq(F,n5) )=> ( ( ~ ( n0 = E& n1 = F )& ~ ( n0 = E& n2 = F )& ~ ( n0 = E& n3 = F )& ~ ( n0 = E& n4 = F )& ~ ( n0 = E& n5 = F )& ~ ( n0 = F& n4 = E )& ~ ( n0 = F& n5 = E )& ~ ( n1 = E& n1 = F )& ~ ( n1 = E& n2 = F )& ~ ( n1 = E& n3 = F )& ~ ( n1 = E& n4 = F )& ~ ( n1 = E& n5 = F )& ~ ( n1 = F& n2 = E )& ~ ( n1 = F& n3 = E )& ~ ( n1 = F& n4 = E )& ~ ( n1 = F& n5 = E )& ~ ( n2 = E& n2 = F )& ~ ( n2 = E& n3 = F )& ~ ( n2 = E& n4 = F )& ~ ( n2 = E& n5 = F )& ~ ( n2 = F& n3 = E )& ~ ( n2 = F& n4 = E )& ~ ( n2 = F& n5 = E )& ~ ( n3 = E& n3 = F )& ~ ( n3 = E& n4 = F )& ~ ( n3 = E& n5 = F )& ~ ( n3 = F& n4 = E )& ~ ( n3 = F& n5 = E )& ~ ( n4 = E& n4 = F )& ~ ( n4 = E& n5 = F )& ~ ( n4 = F& n5 = E )& ~ ( n5 = E& n5 = F )& n0 = F& n3 = E& n3 = F& n4 = E )=> a_select2(xinit_noise,n3) = n0 ) ) )) )),
% 0.14/0.51 inference(negated_conjecture,[status(cth)],[f53])).
% 0.14/0.51 fof(f244,plain,(
% 0.14/0.51 (((![A,B]: ((((~leq(n0,A)|~leq(n0,B))|~leq(A,n5))|~leq(B,n5))|a_select3(q_ds1_filter,A,B)=a_select3(q_ds1_filter,B,A)))&(![C,D]: ((((~leq(n0,C)|~leq(n0,D))|~leq(C,n2))|~leq(D,n2))|a_select3(r_ds1_filter,C,D)=a_select3(r_ds1_filter,D,C))))&(?[E,F]: ((((leq(n0,E)&leq(n0,F))&leq(E,n5))&leq(F,n5))&(((((((((((((((((((((((((((((((((((((~n0=E|~n1=F)&(~n0=E|~n2=F))&(~n0=E|~n3=F))&(~n0=E|~n4=F))&(~n0=E|~n5=F))&(~n0=F|~n4=E))&(~n0=F|~n5=E))&(~n1=E|~n1=F))&(~n1=E|~n2=F))&(~n1=E|~n3=F))&(~n1=E|~n4=F))&(~n1=E|~n5=F))&(~n1=F|~n2=E))&(~n1=F|~n3=E))&(~n1=F|~n4=E))&(~n1=F|~n5=E))&(~n2=E|~n2=F))&(~n2=E|~n3=F))&(~n2=E|~n4=F))&(~n2=E|~n5=F))&(~n2=F|~n3=E))&(~n2=F|~n4=E))&(~n2=F|~n5=E))&(~n3=E|~n3=F))&(~n3=E|~n4=F))&(~n3=E|~n5=F))&(~n3=F|~n4=E))&(~n3=F|~n5=E))&(~n4=E|~n4=F))&(~n4=E|~n5=F))&(~n4=F|~n5=E))&(~n5=E|~n5=F))&n0=F)&n3=E)&n3=F)&n4=E)&~a_select2(xinit_noise,n3)=n0))))),
% 0.14/0.51 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.14/0.51 fof(f245,plain,(
% 0.14/0.51 ((![A,B]: ((((~leq(n0,A)|~leq(n0,B))|~leq(A,n5))|~leq(B,n5))|a_select3(q_ds1_filter,A,B)=a_select3(q_ds1_filter,B,A)))&(![C,D]: ((((~leq(n0,C)|~leq(n0,D))|~leq(C,n2))|~leq(D,n2))|a_select3(r_ds1_filter,C,D)=a_select3(r_ds1_filter,D,C))))&((((leq(n0,sK23_skl)&leq(n0,sK24_skl))&leq(sK23_skl,n5))&leq(sK24_skl,n5))&(((((((((((((((((((((((((((((((((((((~n0=sK23_skl|~n1=sK24_skl)&(~n0=sK23_skl|~n2=sK24_skl))&(~n0=sK23_skl|~n3=sK24_skl))&(~n0=sK23_skl|~n4=sK24_skl))&(~n0=sK23_skl|~n5=sK24_skl))&(~n0=sK24_skl|~n4=sK23_skl))&(~n0=sK24_skl|~n5=sK23_skl))&(~n1=sK23_skl|~n1=sK24_skl))&(~n1=sK23_skl|~n2=sK24_skl))&(~n1=sK23_skl|~n3=sK24_skl))&(~n1=sK23_skl|~n4=sK24_skl))&(~n1=sK23_skl|~n5=sK24_skl))&(~n1=sK24_skl|~n2=sK23_skl))&(~n1=sK24_skl|~n3=sK23_skl))&(~n1=sK24_skl|~n4=sK23_skl))&(~n1=sK24_skl|~n5=sK23_skl))&(~n2=sK23_skl|~n2=sK24_skl))&(~n2=sK23_skl|~n3=sK24_skl))&(~n2=sK23_skl|~n4=sK24_skl))&(~n2=sK23_skl|~n5=sK24_skl))&(~n2=sK24_skl|~n3=sK23_skl))&(~n2=sK24_skl|~n4=sK23_skl))&(~n2=sK24_skl|~n5=sK23_skl))&(~n3=sK23_skl|~n3=sK24_skl))&(~n3=sK23_skl|~n4=sK24_skl))&(~n3=sK23_skl|~n5=sK24_skl))&(~n3=sK24_skl|~n4=sK23_skl))&(~n3=sK24_skl|~n5=sK23_skl))&(~n4=sK23_skl|~n4=sK24_skl))&(~n4=sK23_skl|~n5=sK24_skl))&(~n4=sK24_skl|~n5=sK23_skl))&(~n5=sK23_skl|~n5=sK24_skl))&n0=sK24_skl)&n3=sK23_skl)&n3=sK24_skl)&n4=sK23_skl)&~a_select2(xinit_noise,n3)=n0))),
% 0.14/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(E,sK23_skl),skolemize(F,sK24_skl)],[f244])).
% 0.14/0.52 fof(f257,plain,(
% 0.14/0.52 ~n0=sK24_skl|~n4=sK23_skl),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f245])).
% 0.14/0.52 fof(f284,plain,(
% 0.14/0.52 n0=sK24_skl),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f245])).
% 0.14/0.52 fof(f287,plain,(
% 0.14/0.52 n4=sK23_skl),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f245])).
% 0.14/0.52 fof(f386,definition,(
% 0.14/0.52 sQ6_spl <=> (n0=sK24_skl)),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f388,plain,(
% 0.14/0.52 ~n0=sK24_skl|sQ6_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f386])).
% 0.14/0.52 fof(f389,definition,(
% 0.14/0.52 sQ7_spl <=> (n4=sK23_skl)),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f391,plain,(
% 0.14/0.52 ~n4=sK23_skl|sQ7_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f389])).
% 0.14/0.52 fof(f392,plain,(
% 0.14/0.52 ~sQ6_spl|~sQ7_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f257,f386,f389])).
% 0.14/0.52 fof(f444,plain,(
% 0.14/0.52 ~sK23_skl=sK23_skl|sQ7_spl),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f287,f391])).
% 0.14/0.52 fof(f445,plain,(
% 0.14/0.52 $false|sQ7_spl),
% 0.14/0.52 inference(trivial_equality_resolution,[status(thm)],[f444])).
% 0.14/0.52 fof(f446,plain,(
% 0.14/0.52 sQ7_spl),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f445])).
% 0.14/0.52 fof(f447,plain,(
% 0.14/0.52 ~sK24_skl=sK24_skl|sQ6_spl),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f284,f388])).
% 0.14/0.52 fof(f448,plain,(
% 0.14/0.52 $false|sQ6_spl),
% 0.14/0.52 inference(trivial_equality_resolution,[status(thm)],[f447])).
% 0.14/0.52 fof(f449,plain,(
% 0.14/0.52 sQ6_spl),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f448])).
% 0.14/0.52 fof(f450,plain,(
% 0.14/0.52 $false),
% 0.14/0.52 inference(sat_refutation,[status(thm)],[f392,f446,f449])).
% 0.14/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.59 % Elapsed time: 0.116621 seconds
% 0.23/0.59 % CPU time: 0.115200 seconds
% 0.23/0.59 % Total memory used: 10.355 MB
% 0.23/0.59 % Net memory used: 10.342 MB
%------------------------------------------------------------------------------