%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV184+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 : 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 02:50:12 PM UTC 2026
% Result : Theorem 0.03s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV184+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 : n002.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 08:36:32 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.38 % Drodi V4.1.1
% 0.03/0.45 % Refutation found
% 0.03/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.45 fof(f53,conjecture,(
% 0.03/0.45 ( ( 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_select3(center_init,D,n0) = init ))& ( gt(loopcounter,n1)=> (! [E] :( ( leq(n0,E)& leq(E,n4) )=> a_select2(muold_init,E) = init ) ))& ( gt(loopcounter,n1)=> (! [F] :( ( leq(n0,F)& leq(F,n4) )=> a_select2(rhoold_init,F) = init ) ))& ( gt(loopcounter,n1)=> (! [G] :( ( leq(n0,G)& leq(G,n4) )=> a_select2(sigmaold_init,G) = init ) )) )=> (! [H] :( ( leq(n0,H)& leq(H,n4) )=> a_select2(sigmaold_init,H) = init ) )) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f54,negated_conjecture,(
% 0.03/0.45 ~(( ( 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_select3(center_init,D,n0) = init ))& ( gt(loopcounter,n1)=> (! [E] :( ( leq(n0,E)& leq(E,n4) )=> a_select2(muold_init,E) = init ) ))& ( gt(loopcounter,n1)=> (! [F] :( ( leq(n0,F)& leq(F,n4) )=> a_select2(rhoold_init,F) = init ) ))& ( gt(loopcounter,n1)=> (! [G] :( ( leq(n0,G)& leq(G,n4) )=> a_select2(sigmaold_init,G) = init ) )) )=> (! [H] :( ( leq(n0,H)& leq(H,n4) )=> a_select2(sigmaold_init,H) = init ) )) )),
% 0.03/0.45 inference(negated_conjecture,[status(cth)],[f53])).
% 0.03/0.45 fof(f251,plain,(
% 0.03/0.45 (((((((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_select3(center_init,D,n0)=init)))&(~gt(loopcounter,n1)|(![E]: ((~leq(n0,E)|~leq(E,n4))|a_select2(muold_init,E)=init))))&(~gt(loopcounter,n1)|(![F]: ((~leq(n0,F)|~leq(F,n4))|a_select2(rhoold_init,F)=init))))&(~gt(loopcounter,n1)|(![G]: ((~leq(n0,G)|~leq(G,n4))|a_select2(sigmaold_init,G)=init))))&(?[H]: ((leq(n0,H)&leq(H,n4))&~a_select2(sigmaold_init,H)=init)))),
% 0.03/0.45 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.03/0.45 fof(f252,plain,(
% 0.03/0.45 ((((((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_select3(center_init,D,n0)=init)))&(~gt(loopcounter,n1)|(![E]: ((~leq(n0,E)|~leq(E,n4))|a_select2(muold_init,E)=init))))&(~gt(loopcounter,n1)|(![F]: ((~leq(n0,F)|~leq(F,n4))|a_select2(rhoold_init,F)=init))))&(~gt(loopcounter,n1)|(![G]: ((~leq(n0,G)|~leq(G,n4))|a_select2(sigmaold_init,G)=init))))&((leq(n0,sK23_skl)&leq(sK23_skl,n4))&~a_select2(sigmaold_init,sK23_skl)=init)),
% 0.03/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(H,sK23_skl)],[f251])).
% 0.03/0.45 fof(f253,plain,(
% 0.03/0.45 gt(loopcounter,n1)),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f252])).
% 0.03/0.45 fof(f259,plain,(
% 0.03/0.45 ![X0]: (~gt(loopcounter,n1)|~leq(n0,X0)|~leq(X0,n4)|a_select2(sigmaold_init,X0)=init)),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f252])).
% 0.03/0.45 fof(f260,plain,(
% 0.03/0.45 leq(n0,sK23_skl)),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f252])).
% 0.03/0.45 fof(f261,plain,(
% 0.03/0.45 leq(sK23_skl,n4)),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f252])).
% 0.03/0.45 fof(f262,plain,(
% 0.03/0.45 ~a_select2(sigmaold_init,sK23_skl)=init),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f252])).
% 0.03/0.45 fof(f344,definition,(
% 0.03/0.45 sQ0_spl <=> (gt(loopcounter,n1))),
% 0.03/0.45 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.03/0.45 fof(f346,plain,(
% 0.03/0.45 ~gt(loopcounter,n1)|sQ0_spl),
% 0.03/0.45 inference(component_clause,[status(thm)],[f344])).
% 0.03/0.45 fof(f355,definition,(
% 0.03/0.45 ![X0]: (sQ3_spl <=> (~leq(n0,X0)|~leq(X0,n4)|a_select2(sigmaold_init,X0)=init))),
% 0.03/0.45 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.03/0.45 fof(f356,plain,(
% 0.03/0.45 ![X0]: (~leq(n0,X0)|~leq(X0,n4)|a_select2(sigmaold_init,X0)=init|~sQ3_spl)),
% 0.03/0.46 inference(component_clause,[status(thm)],[f355])).
% 0.03/0.46 fof(f358,plain,(
% 0.03/0.46 ~sQ0_spl|sQ3_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f259,f344,f355])).
% 0.03/0.46 fof(f396,definition,(
% 0.03/0.46 sQ8_spl <=> (leq(sK23_skl,n4))),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f398,plain,(
% 0.03/0.46 ~leq(sK23_skl,n4)|sQ8_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f396])).
% 0.03/0.46 fof(f446,plain,(
% 0.03/0.46 $false|sQ0_spl),
% 0.03/0.46 inference(forward_subsumption_resolution,[status(thm)],[f346,f253])).
% 0.03/0.46 fof(f447,plain,(
% 0.03/0.46 sQ0_spl),
% 0.03/0.46 inference(contradiction_clause,[status(thm)],[f446])).
% 0.03/0.46 fof(f705,plain,(
% 0.03/0.46 $false|sQ8_spl),
% 0.03/0.46 inference(forward_subsumption_resolution,[status(thm)],[f261,f398])).
% 0.03/0.46 fof(f706,plain,(
% 0.03/0.46 sQ8_spl),
% 0.03/0.46 inference(contradiction_clause,[status(thm)],[f705])).
% 0.03/0.46 fof(f831,plain,(
% 0.03/0.46 ~leq(sK23_skl,n4)|a_select2(sigmaold_init,sK23_skl)=init|~sQ3_spl),
% 0.03/0.46 inference(resolution,[status(thm)],[f260,f356])).
% 0.03/0.46 fof(f865,definition,(
% 0.03/0.46 sQ42_spl <=> (a_select2(sigmaold_init,sK23_skl)=init)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f866,plain,(
% 0.03/0.46 a_select2(sigmaold_init,sK23_skl)=init|~sQ42_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f865])).
% 0.03/0.46 fof(f868,plain,(
% 0.03/0.46 ~sQ8_spl|sQ42_spl|~sQ3_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f831,f396,f865,f355])).
% 0.03/0.46 fof(f874,plain,(
% 0.03/0.46 $false|~sQ42_spl),
% 0.03/0.46 inference(forward_subsumption_resolution,[status(thm)],[f866,f262])).
% 0.03/0.46 fof(f875,plain,(
% 0.03/0.46 ~sQ42_spl),
% 0.03/0.46 inference(contradiction_clause,[status(thm)],[f874])).
% 0.03/0.46 fof(f876,plain,(
% 0.03/0.46 $false),
% 0.03/0.46 inference(sat_refutation,[status(thm)],[f358,f447,f706,f868,f875])).
% 0.03/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/0.47 % Elapsed time: 0.098789 seconds
% 0.03/0.47 % CPU time: 0.507397 seconds
% 0.03/0.47 % Total memory used: 114.720 MB
% 0.03/0.47 % Net memory used: 113.815 MB
%------------------------------------------------------------------------------