%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV230+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 : n019.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 02:50:16 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV230+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
% 0.08/0.35 % Computer : n019.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 08:35:20 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f53,conjecture,(
% 0.13/0.39 ( ( (! [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& n5 = F )& ~ ( n1 = E& n5 = F )& ~ ( n2 = E& n5 = F )& ~ ( n2 = F& n5 = E )& ~ ( n3 = E& n5 = F )& ~ ( n3 = F& n5 = E )& ~ ( n4 = E& n5 = F )& ~ ( n4 = F& n5 = E )& ~ ( n5 = E& n5 = F )& n1 = F& n4 = E& n4 = F& n5 = E )=> n0 = a_select2(xinit_noise,n4) ) ) )) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f54,negated_conjecture,(
% 0.13/0.39 ~(( ( (! [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& n5 = F )& ~ ( n1 = E& n5 = F )& ~ ( n2 = E& n5 = F )& ~ ( n2 = F& n5 = E )& ~ ( n3 = E& n5 = F )& ~ ( n3 = F& n5 = E )& ~ ( n4 = E& n5 = F )& ~ ( n4 = F& n5 = E )& ~ ( n5 = E& n5 = F )& n1 = F& n4 = E& n4 = F& n5 = E )=> n0 = a_select2(xinit_noise,n4) ) ) )) )),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f53])).
% 0.13/0.39 fof(f244,plain,(
% 0.13/0.39 (((![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|~n5=F)&(~n1=E|~n5=F))&(~n2=E|~n5=F))&(~n2=F|~n5=E))&(~n3=E|~n5=F))&(~n3=F|~n5=E))&(~n4=E|~n5=F))&(~n4=F|~n5=E))&(~n5=E|~n5=F))&n1=F)&n4=E)&n4=F)&n5=E)&~n0=a_select2(xinit_noise,n4)))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.13/0.39 fof(f245,plain,(
% 0.13/0.39 ((![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|~n5=sK24_skl)&(~n1=sK23_skl|~n5=sK24_skl))&(~n2=sK23_skl|~n5=sK24_skl))&(~n2=sK24_skl|~n5=sK23_skl))&(~n3=sK23_skl|~n5=sK24_skl))&(~n3=sK24_skl|~n5=sK23_skl))&(~n4=sK23_skl|~n5=sK24_skl))&(~n4=sK24_skl|~n5=sK23_skl))&(~n5=sK23_skl|~n5=sK24_skl))&n1=sK24_skl)&n4=sK23_skl)&n4=sK24_skl)&n5=sK23_skl)&~n0=a_select2(xinit_noise,n4)))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(E,sK23_skl),skolemize(F,sK24_skl)],[f244])).
% 0.13/0.39 fof(f259,plain,(
% 0.13/0.39 ~n4=sK24_skl|~n5=sK23_skl),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f245])).
% 0.13/0.39 fof(f263,plain,(
% 0.13/0.39 n4=sK24_skl),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f245])).
% 0.13/0.39 fof(f264,plain,(
% 0.13/0.39 n5=sK23_skl),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f245])).
% 0.13/0.39 fof(f358,definition,(
% 0.13/0.39 sQ5_spl <=> (n5=sK23_skl)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f360,plain,(
% 0.13/0.39 ~n5=sK23_skl|sQ5_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f358])).
% 0.13/0.39 fof(f374,definition,(
% 0.13/0.39 sQ9_spl <=> (n4=sK24_skl)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f376,plain,(
% 0.13/0.39 ~n4=sK24_skl|sQ9_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f374])).
% 0.13/0.39 fof(f377,plain,(
% 0.13/0.39 ~sQ9_spl|~sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f259,f374,f358])).
% 0.13/0.39 fof(f393,plain,(
% 0.13/0.39 ~sK23_skl=sK23_skl|sQ5_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f264,f360])).
% 0.13/0.39 fof(f394,plain,(
% 0.13/0.39 $false|sQ5_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f393])).
% 0.13/0.39 fof(f395,plain,(
% 0.13/0.39 sQ5_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f394])).
% 0.13/0.39 fof(f396,plain,(
% 0.13/0.39 ~sK24_skl=sK24_skl|sQ9_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f263,f376])).
% 0.13/0.39 fof(f397,plain,(
% 0.13/0.39 $false|sQ9_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f396])).
% 0.13/0.39 fof(f398,plain,(
% 0.13/0.39 sQ9_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f397])).
% 0.13/0.39 fof(f399,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f377,f395,f398])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.061326 seconds
% 0.13/0.43 % CPU time: 0.158495 seconds
% 0.13/0.43 % Total memory used: 109.000 MB
% 0.13/0.43 % Net memory used: 108.795 MB
%------------------------------------------------------------------------------