%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV170+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 : n003.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 02:50:10 PM UTC 2026
% Result : Theorem 1.09s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV170+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 : n003.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 08:35:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 1.09/0.58 % Refutation found
% 1.09/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.09/0.58 % SZS output start CNFRefutation for theBenchmark
% 1.09/0.58 fof(f53,conjecture,(
% 1.09/0.58 ( ( leq(n0,pv10)& leq(n0,pv52)& leq(n0,pv54)& leq(pv10,n135299)& leq(pv52,n4)& leq(pv54,n4)& gt(loopcounter,n1)& (! [A] :( ( leq(n0,A)& leq(A,n135299) )=> (! [B] :( ( leq(n0,B)& leq(B,n4) )=> a_select3(q_init,A,B) = init ) )))& (! [C] :( ( leq(n0,C)& leq(C,n4) )=> a_select2(rho_init,C) = init ))& (! [D] :( ( leq(n0,D)& leq(D,n4) )=> a_select2(mu_init,D) = init ))& (! [E] :( ( leq(n0,E)& leq(E,n4) )=> a_select2(sigma_init,E) = init ))& (! [F] :( ( leq(n0,F)& leq(F,n4) )=> a_select3(center_init,F,n0) = init ))& ( gt(loopcounter,n1)=> (! [G] :( ( leq(n0,G)& leq(G,n4) )=> a_select2(muold_init,G) = init ) ))& ( gt(loopcounter,n1)=> (! [H] :( ( leq(n0,H)& leq(H,n4) )=> a_select2(rhoold_init,H) = init ) ))& ( gt(loopcounter,n1)=> (! [I] :( ( leq(n0,I)& leq(I,n4) )=> a_select2(sigmaold_init,I) = init ) )) )=> (! [J] :( ( leq(n0,J)& leq(J,n4) )=> a_select2(muold_init,J) = init ) )) ),
% 1.09/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.09/0.58 fof(f54,negated_conjecture,(
% 1.09/0.58 ~(( ( leq(n0,pv10)& leq(n0,pv52)& leq(n0,pv54)& leq(pv10,n135299)& leq(pv52,n4)& leq(pv54,n4)& gt(loopcounter,n1)& (! [A] :( ( leq(n0,A)& leq(A,n135299) )=> (! [B] :( ( leq(n0,B)& leq(B,n4) )=> a_select3(q_init,A,B) = init ) )))& (! [C] :( ( leq(n0,C)& leq(C,n4) )=> a_select2(rho_init,C) = init ))& (! [D] :( ( leq(n0,D)& leq(D,n4) )=> a_select2(mu_init,D) = init ))& (! [E] :( ( leq(n0,E)& leq(E,n4) )=> a_select2(sigma_init,E) = init ))& (! [F] :( ( leq(n0,F)& leq(F,n4) )=> a_select3(center_init,F,n0) = init ))& ( gt(loopcounter,n1)=> (! [G] :( ( leq(n0,G)& leq(G,n4) )=> a_select2(muold_init,G) = init ) ))& ( gt(loopcounter,n1)=> (! [H] :( ( leq(n0,H)& leq(H,n4) )=> a_select2(rhoold_init,H) = init ) ))& ( gt(loopcounter,n1)=> (! [I] :( ( leq(n0,I)& leq(I,n4) )=> a_select2(sigmaold_init,I) = init ) )) )=> (! [J] :( ( leq(n0,J)& leq(J,n4) )=> a_select2(muold_init,J) = init ) )) )),
% 1.09/0.58 inference(negated_conjecture,[status(cth)],[f53])).
% 1.09/0.58 fof(f251,plain,(
% 1.09/0.58 (((((((((((((((leq(n0,pv10)&leq(n0,pv52))&leq(n0,pv54))&leq(pv10,n135299))&leq(pv52,n4))&leq(pv54,n4))>(loopcounter,n1))&(![A]: ((~leq(n0,A)|~leq(A,n135299))|(![B]: ((~leq(n0,B)|~leq(B,n4))|a_select3(q_init,A,B)=init)))))&(![C]: ((~leq(n0,C)|~leq(C,n4))|a_select2(rho_init,C)=init)))&(![D]: ((~leq(n0,D)|~leq(D,n4))|a_select2(mu_init,D)=init)))&(![E]: ((~leq(n0,E)|~leq(E,n4))|a_select2(sigma_init,E)=init)))&(![F]: ((~leq(n0,F)|~leq(F,n4))|a_select3(center_init,F,n0)=init)))&(~gt(loopcounter,n1)|(![G]: ((~leq(n0,G)|~leq(G,n4))|a_select2(muold_init,G)=init))))&(~gt(loopcounter,n1)|(![H]: ((~leq(n0,H)|~leq(H,n4))|a_select2(rhoold_init,H)=init))))&(~gt(loopcounter,n1)|(![I]: ((~leq(n0,I)|~leq(I,n4))|a_select2(sigmaold_init,I)=init))))&(?[J]: ((leq(n0,J)&leq(J,n4))&~a_select2(muold_init,J)=init)))),
% 1.09/0.58 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 1.09/0.58 fof(f252,plain,(
% 1.09/0.58 ((((((((((((((leq(n0,pv10)&leq(n0,pv52))&leq(n0,pv54))&leq(pv10,n135299))&leq(pv52,n4))&leq(pv54,n4))>(loopcounter,n1))&(![A]: ((~leq(n0,A)|~leq(A,n135299))|(![B]: ((~leq(n0,B)|~leq(B,n4))|a_select3(q_init,A,B)=init)))))&(![C]: ((~leq(n0,C)|~leq(C,n4))|a_select2(rho_init,C)=init)))&(![D]: ((~leq(n0,D)|~leq(D,n4))|a_select2(mu_init,D)=init)))&(![E]: ((~leq(n0,E)|~leq(E,n4))|a_select2(sigma_init,E)=init)))&(![F]: ((~leq(n0,F)|~leq(F,n4))|a_select3(center_init,F,n0)=init)))&(~gt(loopcounter,n1)|(![G]: ((~leq(n0,G)|~leq(G,n4))|a_select2(muold_init,G)=init))))&(~gt(loopcounter,n1)|(![H]: ((~leq(n0,H)|~leq(H,n4))|a_select2(rhoold_init,H)=init))))&(~gt(loopcounter,n1)|(![I]: ((~leq(n0,I)|~leq(I,n4))|a_select2(sigmaold_init,I)=init))))&((leq(n0,sK23_skl)&leq(sK23_skl,n4))&~a_select2(muold_init,sK23_skl)=init)),
% 1.09/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(J,sK23_skl)],[f251])).
% 1.09/0.58 fof(f259,plain,(
% 1.09/0.58 gt(loopcounter,n1)),
% 1.09/0.58 inference(cnf_transformation,[status(thm)],[f252])).
% 1.09/0.58 fof(f265,plain,(
% 1.09/0.58 ![X0]: (~gt(loopcounter,n1)|~leq(n0,X0)|~leq(X0,n4)|a_select2(muold_init,X0)=init)),
% 1.09/0.58 inference(cnf_transformation,[status(thm)],[f252])).
% 1.09/0.59 fof(f268,plain,(
% 1.09/0.59 leq(n0,sK23_skl)),
% 1.09/0.59 inference(cnf_transformation,[status(thm)],[f252])).
% 1.09/0.59 fof(f269,plain,(
% 1.09/0.59 leq(sK23_skl,n4)),
% 1.09/0.59 inference(cnf_transformation,[status(thm)],[f252])).
% 1.09/0.59 fof(f270,plain,(
% 1.09/0.59 ~a_select2(muold_init,sK23_skl)=init),
% 1.09/0.59 inference(cnf_transformation,[status(thm)],[f252])).
% 1.09/0.59 fof(f352,definition,(
% 1.09/0.59 sQ0_spl <=> (gt(loopcounter,n1))),
% 1.09/0.59 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 1.09/0.59 fof(f354,plain,(
% 1.09/0.59 ~gt(loopcounter,n1)|sQ0_spl),
% 1.09/0.59 inference(component_clause,[status(thm)],[f352])).
% 1.09/0.59 fof(f355,definition,(
% 1.09/0.59 ![X0]: (sQ1_spl <=> (~leq(n0,X0)|~leq(X0,n4)|a_select2(muold_init,X0)=init))),
% 1.09/0.59 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 1.09/0.59 fof(f356,plain,(
% 1.09/0.59 ![X0]: (~leq(n0,X0)|~leq(X0,n4)|a_select2(muold_init,X0)=init|~sQ1_spl)),
% 1.09/0.59 inference(component_clause,[status(thm)],[f355])).
% 1.09/0.59 fof(f358,plain,(
% 1.09/0.59 ~sQ0_spl|sQ1_spl),
% 1.09/0.59 inference(split_clause,[status(thm)],[f265,f352,f355])).
% 1.09/0.59 fof(f551,plain,(
% 1.09/0.59 $false|sQ0_spl),
% 1.09/0.59 inference(forward_subsumption_resolution,[status(thm)],[f354,f259])).
% 1.09/0.59 fof(f552,plain,(
% 1.09/0.59 sQ0_spl),
% 1.09/0.59 inference(contradiction_clause,[status(thm)],[f551])).
% 1.09/0.59 fof(f567,definition,(
% 1.09/0.59 sQ11_spl <=> (leq(n0,sK23_skl))),
% 1.09/0.59 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 1.09/0.59 fof(f569,plain,(
% 1.09/0.59 ~leq(n0,sK23_skl)|sQ11_spl),
% 1.09/0.59 inference(component_clause,[status(thm)],[f567])).
% 1.09/0.59 fof(f596,plain,(
% 1.09/0.59 $false|sQ11_spl),
% 1.09/0.59 inference(forward_subsumption_resolution,[status(thm)],[f569,f268])).
% 1.09/0.59 fof(f597,plain,(
% 1.09/0.59 sQ11_spl),
% 1.09/0.59 inference(contradiction_clause,[status(thm)],[f596])).
% 1.09/0.59 fof(f789,plain,(
% 1.09/0.59 ~leq(n0,sK23_skl)|a_select2(muold_init,sK23_skl)=init|~sQ1_spl),
% 1.09/0.59 inference(resolution,[status(thm)],[f356,f269])).
% 1.09/0.59 fof(f800,definition,(
% 1.09/0.59 sQ36_spl <=> (a_select2(muold_init,sK23_skl)=init)),
% 1.09/0.59 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 1.09/0.59 fof(f801,plain,(
% 1.09/0.59 a_select2(muold_init,sK23_skl)=init|~sQ36_spl),
% 1.09/0.59 inference(component_clause,[status(thm)],[f800])).
% 1.09/0.59 fof(f803,plain,(
% 1.09/0.59 ~sQ11_spl|sQ36_spl|~sQ1_spl),
% 1.09/0.59 inference(split_clause,[status(thm)],[f789,f567,f800,f355])).
% 1.09/0.59 fof(f816,plain,(
% 1.09/0.59 $false|~sQ36_spl),
% 1.09/0.59 inference(forward_subsumption_resolution,[status(thm)],[f801,f270])).
% 1.09/0.59 fof(f817,plain,(
% 1.09/0.59 ~sQ36_spl),
% 1.09/0.59 inference(contradiction_clause,[status(thm)],[f816])).
% 1.09/0.59 fof(f818,plain,(
% 1.09/0.59 $false),
% 1.09/0.59 inference(sat_refutation,[status(thm)],[f358,f552,f597,f803,f817])).
% 1.09/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 1.09/0.60 % Elapsed time: 0.223332 seconds
% 1.09/0.60 % CPU time: 1.459839 seconds
% 1.09/0.60 % Total memory used: 125.287 MB
% 1.09/0.60 % Net memory used: 122.533 MB
%------------------------------------------------------------------------------