%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV179+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 02:50:11 PM UTC 2026
% Result : Theorem 0.14s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV179+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
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:33:50 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f53,conjecture,(
% 0.14/0.41 ( ( leq(n0,pv68)& leq(pv68,n4)& (! [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_select3(center_init,C,n0) = init ))& (! [D] :( ( leq(n0,D)& leq(D,n4) )=> a_select2(muold_init,D) = init ))& (! [E] :( ( leq(n0,E)& leq(E,pred(pv68)) )=> a_select2(rhoold_init,E) = init ))& (! [F] :( ( leq(n0,F)& leq(F,n4) )=> a_select2(mu_init,F) = init ))& (! [G] :( ( leq(n0,G)& leq(G,n4) )=> a_select2(rho_init,G) = init ))& (! [H] :( ( leq(n0,H)& leq(H,n4) )=> a_select2(sigma_init,H) = init ) ))=> a_select2(rho_init,pv68) = init ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f54,negated_conjecture,(
% 0.14/0.41 ~(( ( leq(n0,pv68)& leq(pv68,n4)& (! [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_select3(center_init,C,n0) = init ))& (! [D] :( ( leq(n0,D)& leq(D,n4) )=> a_select2(muold_init,D) = init ))& (! [E] :( ( leq(n0,E)& leq(E,pred(pv68)) )=> a_select2(rhoold_init,E) = init ))& (! [F] :( ( leq(n0,F)& leq(F,n4) )=> a_select2(mu_init,F) = init ))& (! [G] :( ( leq(n0,G)& leq(G,n4) )=> a_select2(rho_init,G) = init ))& (! [H] :( ( leq(n0,H)& leq(H,n4) )=> a_select2(sigma_init,H) = init ) ))=> a_select2(rho_init,pv68) = init ) )),
% 0.14/0.41 inference(negated_conjecture,[status(cth)],[f53])).
% 0.14/0.41 fof(f251,plain,(
% 0.14/0.41 (((((((((leq(n0,pv68)&leq(pv68,n4))&(![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_select3(center_init,C,n0)=init)))&(![D]: ((~leq(n0,D)|~leq(D,n4))|a_select2(muold_init,D)=init)))&(![E]: ((~leq(n0,E)|~leq(E,pred(pv68)))|a_select2(rhoold_init,E)=init)))&(![F]: ((~leq(n0,F)|~leq(F,n4))|a_select2(mu_init,F)=init)))&(![G]: ((~leq(n0,G)|~leq(G,n4))|a_select2(rho_init,G)=init)))&(![H]: ((~leq(n0,H)|~leq(H,n4))|a_select2(sigma_init,H)=init)))&~a_select2(rho_init,pv68)=init)),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.14/0.41 fof(f252,plain,(
% 0.14/0.41 leq(n0,pv68)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f251])).
% 0.14/0.41 fof(f253,plain,(
% 0.14/0.41 leq(pv68,n4)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f251])).
% 0.14/0.41 fof(f259,plain,(
% 0.14/0.41 ![X0]: (~leq(n0,X0)|~leq(X0,n4)|a_select2(rho_init,X0)=init)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f251])).
% 0.14/0.41 fof(f261,plain,(
% 0.14/0.41 ~a_select2(rho_init,pv68)=init),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f251])).
% 0.14/0.41 fof(f346,definition,(
% 0.14/0.41 sQ0_spl <=> (leq(pv68,n4))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f348,plain,(
% 0.14/0.41 ~leq(pv68,n4)|sQ0_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f346])).
% 0.14/0.41 fof(f353,plain,(
% 0.14/0.41 $false|sQ0_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f348,f253])).
% 0.14/0.41 fof(f354,plain,(
% 0.14/0.41 sQ0_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f353])).
% 0.14/0.41 fof(f685,plain,(
% 0.14/0.41 ~leq(pv68,n4)|a_select2(rho_init,pv68)=init),
% 0.14/0.41 inference(resolution,[status(thm)],[f259,f252])).
% 0.14/0.41 fof(f696,definition,(
% 0.14/0.41 sQ29_spl <=> (a_select2(rho_init,pv68)=init)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f697,plain,(
% 0.14/0.41 a_select2(rho_init,pv68)=init|~sQ29_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f696])).
% 0.14/0.41 fof(f699,plain,(
% 0.14/0.41 ~sQ0_spl|sQ29_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f685,f346,f696])).
% 0.14/0.41 fof(f704,plain,(
% 0.14/0.41 $false|~sQ29_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f697,f261])).
% 0.14/0.41 fof(f705,plain,(
% 0.14/0.41 ~sQ29_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f704])).
% 0.14/0.41 fof(f706,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(sat_refutation,[status(thm)],[f354,f699,f705])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.44 % Elapsed time: 0.071993 seconds
% 0.14/0.44 % CPU time: 0.197944 seconds
% 0.14/0.44 % Total memory used: 109.677 MB
% 0.14/0.44 % Net memory used: 109.361 MB
%------------------------------------------------------------------------------