%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV223+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 : n004.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 0.13s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV223+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
% 0.09/5.36 % Computer : n004.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 08:34:55 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.13/5.40 % Refutation found
% 0.13/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/5.40 fof(f53,conjecture,(
% 0.13/5.40 ( ( (! [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& n1 = E )& ~ ( n0 = F& n2 = E )& ~ ( n0 = F& n3 = E )& ~ ( 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 = E& n0 = F& n3 = E& n5 = F )=> a_select2(xinit_noise,n0) = n0 ) ) )) ),
% 0.13/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.40 fof(f54,negated_conjecture,(
% 0.13/5.40 ~(( ( (! [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& n1 = E )& ~ ( n0 = F& n2 = E )& ~ ( n0 = F& n3 = E )& ~ ( 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 = E& n0 = F& n3 = E& n5 = F )=> a_select2(xinit_noise,n0) = n0 ) ) )) )),
% 0.13/5.40 inference(negated_conjecture,[status(cth)],[f53])).
% 0.13/5.40 fof(f244,plain,(
% 0.13/5.40 (((![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|~n1=E))&(~n0=F|~n2=E))&(~n0=F|~n3=E))&(~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=E)&n0=F)&n3=E)&n5=F)&~a_select2(xinit_noise,n0)=n0))))),
% 0.13/5.40 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.13/5.40 fof(f245,plain,(
% 0.13/5.40 ((![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|~n1=sK23_skl))&(~n0=sK24_skl|~n2=sK23_skl))&(~n0=sK24_skl|~n3=sK23_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=sK23_skl)&n0=sK24_skl)&n3=sK23_skl)&n5=sK24_skl)&~a_select2(xinit_noise,n0)=n0))),
% 0.13/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(E,sK23_skl),skolemize(F,sK24_skl)],[f244])).
% 0.13/5.40 fof(f259,plain,(
% 0.13/5.40 ~n0=sK24_skl|~n3=sK23_skl),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f245])).
% 0.13/5.40 fof(f288,plain,(
% 0.13/5.40 n0=sK24_skl),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f245])).
% 0.13/5.40 fof(f289,plain,(
% 0.13/5.40 n3=sK23_skl),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f245])).
% 0.13/5.40 fof(f389,definition,(
% 0.13/5.40 sQ6_spl <=> (n0=sK24_skl)),
% 0.13/5.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/5.40 fof(f391,plain,(
% 0.13/5.40 ~n0=sK24_skl|sQ6_spl),
% 0.13/5.40 inference(component_clause,[status(thm)],[f389])).
% 0.13/5.40 fof(f400,definition,(
% 0.13/5.40 sQ9_spl <=> (n3=sK23_skl)),
% 0.13/5.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/5.40 fof(f402,plain,(
% 0.13/5.40 ~n3=sK23_skl|sQ9_spl),
% 0.13/5.40 inference(component_clause,[status(thm)],[f400])).
% 0.13/5.40 fof(f403,plain,(
% 0.13/5.40 ~sQ6_spl|~sQ9_spl),
% 0.13/5.40 inference(split_clause,[status(thm)],[f259,f389,f400])).
% 0.13/5.40 fof(f453,plain,(
% 0.13/5.40 ~sK23_skl=sK23_skl|sQ9_spl),
% 0.13/5.40 inference(forward_demodulation,[status(thm)],[f289,f402])).
% 0.13/5.41 fof(f454,plain,(
% 0.13/5.41 $false|sQ9_spl),
% 0.13/5.41 inference(trivial_equality_resolution,[status(thm)],[f453])).
% 0.13/5.41 fof(f455,plain,(
% 0.13/5.41 sQ9_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f454])).
% 0.13/5.41 fof(f456,plain,(
% 0.13/5.41 ~sK24_skl=sK24_skl|sQ6_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f288,f391])).
% 0.13/5.41 fof(f457,plain,(
% 0.13/5.41 $false|sQ6_spl),
% 0.13/5.41 inference(trivial_equality_resolution,[status(thm)],[f456])).
% 0.13/5.41 fof(f458,plain,(
% 0.13/5.41 sQ6_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f457])).
% 0.13/5.41 fof(f459,plain,(
% 0.13/5.41 $false),
% 0.13/5.41 inference(sat_refutation,[status(thm)],[f403,f455,f458])).
% 0.13/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.43 % Elapsed time: 0.052190 seconds
% 0.13/5.43 % CPU time: 0.143357 seconds
% 0.13/5.43 % Total memory used: 72.458 MB
% 0.13/5.43 % Net memory used: 72.350 MB
%------------------------------------------------------------------------------