%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV232+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 : n002.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 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV232+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 08:37:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f53,conjecture,(
% 0.12/0.40 ( (! [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) )=> ( ( ~ ( n0 = C& n1 = D )& ~ ( n0 = C& n2 = D )& ~ ( n0 = D& n2 = C )& ~ ( n1 = C& n1 = D )& ~ ( n1 = C& n2 = D )& ~ ( n1 = D& n2 = C )& ~ ( n2 = C& n2 = D )& n0 = D& n1 = C& n1 = D& n2 = C )=> a_select2(rho,n1) = n0 ) ) )) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f54,negated_conjecture,(
% 0.12/0.40 ~(( (! [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) )=> ( ( ~ ( n0 = C& n1 = D )& ~ ( n0 = C& n2 = D )& ~ ( n0 = D& n2 = C )& ~ ( n1 = C& n1 = D )& ~ ( n1 = C& n2 = D )& ~ ( n1 = D& n2 = C )& ~ ( n2 = C& n2 = D )& n0 = D& n1 = C& n1 = D& n2 = C )=> a_select2(rho,n1) = n0 ) ) )) )),
% 0.12/0.40 inference(negated_conjecture,[status(cth)],[f53])).
% 0.12/0.40 fof(f244,plain,(
% 0.12/0.40 ((![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))&((((((((((((~n0=C|~n1=D)&(~n0=C|~n2=D))&(~n0=D|~n2=C))&(~n1=C|~n1=D))&(~n1=C|~n2=D))&(~n1=D|~n2=C))&(~n2=C|~n2=D))&n0=D)&n1=C)&n1=D)&n2=C)&~a_select2(rho,n1)=n0))))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.12/0.40 fof(f245,plain,(
% 0.12/0.40 (![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)))&((((leq(n0,sK23_skl)&leq(n0,sK24_skl))&leq(sK23_skl,n2))&leq(sK24_skl,n2))&((((((((((((~n0=sK23_skl|~n1=sK24_skl)&(~n0=sK23_skl|~n2=sK24_skl))&(~n0=sK24_skl|~n2=sK23_skl))&(~n1=sK23_skl|~n1=sK24_skl))&(~n1=sK23_skl|~n2=sK24_skl))&(~n1=sK24_skl|~n2=sK23_skl))&(~n2=sK23_skl|~n2=sK24_skl))&n0=sK24_skl)&n1=sK23_skl)&n1=sK24_skl)&n2=sK23_skl)&~a_select2(rho,n1)=n0))),
% 0.12/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(C,sK23_skl),skolemize(D,sK24_skl)],[f244])).
% 0.12/0.40 fof(f253,plain,(
% 0.12/0.40 ~n0=sK24_skl|~n2=sK23_skl),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f245])).
% 0.12/0.40 fof(f258,plain,(
% 0.12/0.40 n0=sK24_skl),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f245])).
% 0.12/0.40 fof(f261,plain,(
% 0.12/0.40 n2=sK23_skl),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f245])).
% 0.12/0.40 fof(f348,definition,(
% 0.12/0.40 sQ3_spl <=> (n0=sK24_skl)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f350,plain,(
% 0.12/0.40 ~n0=sK24_skl|sQ3_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f348])).
% 0.12/0.40 fof(f351,definition,(
% 0.12/0.40 sQ4_spl <=> (n2=sK23_skl)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f353,plain,(
% 0.12/0.40 ~n2=sK23_skl|sQ4_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f351])).
% 0.12/0.40 fof(f354,plain,(
% 0.12/0.40 ~sQ3_spl|~sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f253,f348,f351])).
% 0.12/0.40 fof(f365,plain,(
% 0.12/0.40 ~sK23_skl=sK23_skl|sQ4_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f261,f353])).
% 0.12/0.40 fof(f366,plain,(
% 0.12/0.40 $false|sQ4_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f365])).
% 0.12/0.40 fof(f367,plain,(
% 0.12/0.40 sQ4_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f366])).
% 0.12/0.40 fof(f368,plain,(
% 0.12/0.40 ~sK24_skl=sK24_skl|sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f258,f350])).
% 0.12/0.40 fof(f369,plain,(
% 0.12/0.40 $false|sQ3_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f368])).
% 0.12/0.40 fof(f370,plain,(
% 0.12/0.40 sQ3_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f369])).
% 0.12/0.40 fof(f371,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f354,f367,f370])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.060841 seconds
% 0.12/0.42 % CPU time: 0.167004 seconds
% 0.12/0.42 % Total memory used: 102.075 MB
% 0.12/0.42 % Net memory used: 101.905 MB
%------------------------------------------------------------------------------