%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV176+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 : n026.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 0.13s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV176+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:36:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.48 % Refutation found
% 0.13/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.48 fof(f53,conjecture,(
% 0.13/0.48 ( ( leq(n0,pv40)& leq(n0,pv44)& leq(pv40,n4)& leq(pv44,n135299)& 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,pred(pv40)) )=> a_select2(mu_init,D) = init ))& (! [E] :( ( leq(n0,E)& leq(E,pred(pv40)) )=> 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 ) )) ),
% 0.13/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f54,negated_conjecture,(
% 0.13/0.48 ~(( ( leq(n0,pv40)& leq(n0,pv44)& leq(pv40,n4)& leq(pv44,n135299)& 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,pred(pv40)) )=> a_select2(mu_init,D) = init ))& (! [E] :( ( leq(n0,E)& leq(E,pred(pv40)) )=> 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 ) )) )),
% 0.13/0.48 inference(negated_conjecture,[status(cth)],[f53])).
% 0.13/0.48 fof(f251,plain,(
% 0.13/0.48 (((((((((((((leq(n0,pv40)&leq(n0,pv44))&leq(pv40,n4))&leq(pv44,n135299))>(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,pred(pv40)))|a_select2(mu_init,D)=init)))&(![E]: ((~leq(n0,E)|~leq(E,pred(pv40)))|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)))),
% 0.13/0.48 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.13/0.48 fof(f252,plain,(
% 0.13/0.48 ((((((((((((leq(n0,pv40)&leq(n0,pv44))&leq(pv40,n4))&leq(pv44,n135299))>(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,pred(pv40)))|a_select2(mu_init,D)=init)))&(![E]: ((~leq(n0,E)|~leq(E,pred(pv40)))|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)),
% 0.13/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(J,sK23_skl)],[f251])).
% 0.13/0.48 fof(f257,plain,(
% 0.13/0.48 gt(loopcounter,n1)),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f252])).
% 0.13/0.48 fof(f263,plain,(
% 0.13/0.48 ![X0]: (~gt(loopcounter,n1)|~leq(n0,X0)|~leq(X0,n4)|a_select2(muold_init,X0)=init)),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f252])).
% 0.13/0.48 fof(f266,plain,(
% 0.13/0.48 leq(n0,sK23_skl)),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f252])).
% 0.13/0.48 fof(f267,plain,(
% 0.13/0.48 leq(sK23_skl,n4)),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f252])).
% 0.13/0.48 fof(f268,plain,(
% 0.13/0.48 ~a_select2(muold_init,sK23_skl)=init),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f252])).
% 0.13/0.48 fof(f350,definition,(
% 0.13/0.48 sQ0_spl <=> (gt(loopcounter,n1))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.48 fof(f352,plain,(
% 0.13/0.48 ~gt(loopcounter,n1)|sQ0_spl),
% 0.13/0.48 inference(component_clause,[status(thm)],[f350])).
% 0.13/0.48 fof(f353,definition,(
% 0.13/0.48 ![X0]: (sQ1_spl <=> (~leq(n0,X0)|~leq(X0,n4)|a_select2(muold_init,X0)=init))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.48 fof(f354,plain,(
% 0.13/0.48 ![X0]: (~leq(n0,X0)|~leq(X0,n4)|a_select2(muold_init,X0)=init|~sQ1_spl)),
% 0.13/0.48 inference(component_clause,[status(thm)],[f353])).
% 0.13/0.48 fof(f356,plain,(
% 0.13/0.48 ~sQ0_spl|sQ1_spl),
% 0.13/0.48 inference(split_clause,[status(thm)],[f263,f350,f353])).
% 0.13/0.48 fof(f372,definition,(
% 0.13/0.48 sQ5_spl <=> (leq(sK23_skl,n4))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.48 fof(f374,plain,(
% 0.13/0.48 ~leq(sK23_skl,n4)|sQ5_spl),
% 0.13/0.48 inference(component_clause,[status(thm)],[f372])).
% 0.13/0.48 fof(f474,plain,(
% 0.13/0.48 $false|sQ0_spl),
% 0.13/0.48 inference(forward_subsumption_resolution,[status(thm)],[f352,f257])).
% 0.13/0.48 fof(f475,plain,(
% 0.13/0.48 sQ0_spl),
% 0.13/0.48 inference(contradiction_clause,[status(thm)],[f474])).
% 0.13/0.48 fof(f514,plain,(
% 0.13/0.48 $false|sQ5_spl),
% 0.13/0.48 inference(forward_subsumption_resolution,[status(thm)],[f374,f267])).
% 0.13/0.48 fof(f515,plain,(
% 0.13/0.48 sQ5_spl),
% 0.13/0.48 inference(contradiction_clause,[status(thm)],[f514])).
% 0.13/0.48 fof(f1082,plain,(
% 0.13/0.48 ~leq(sK23_skl,n4)|a_select2(muold_init,sK23_skl)=init|~sQ1_spl),
% 0.13/0.48 inference(resolution,[status(thm)],[f354,f266])).
% 0.13/0.48 fof(f1086,definition,(
% 0.13/0.48 sQ59_spl <=> (a_select2(muold_init,sK23_skl)=init)),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.13/0.48 fof(f1087,plain,(
% 0.13/0.48 a_select2(muold_init,sK23_skl)=init|~sQ59_spl),
% 0.13/0.48 inference(component_clause,[status(thm)],[f1086])).
% 0.13/0.48 fof(f1089,plain,(
% 0.13/0.48 ~sQ5_spl|sQ59_spl|~sQ1_spl),
% 0.13/0.48 inference(split_clause,[status(thm)],[f1082,f372,f1086,f353])).
% 0.13/0.48 fof(f1101,plain,(
% 0.13/0.48 $false|~sQ59_spl),
% 0.13/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1087,f268])).
% 0.13/0.48 fof(f1102,plain,(
% 0.13/0.48 ~sQ59_spl),
% 0.13/0.48 inference(contradiction_clause,[status(thm)],[f1101])).
% 0.13/0.48 fof(f1103,plain,(
% 0.13/0.48 $false),
% 0.13/0.48 inference(sat_refutation,[status(thm)],[f356,f475,f515,f1089,f1102])).
% 0.13/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.50 % Elapsed time: 0.134476 seconds
% 0.13/0.50 % CPU time: 0.692006 seconds
% 0.13/0.50 % Total memory used: 116.604 MB
% 0.13/0.50 % Net memory used: 115.374 MB
%------------------------------------------------------------------------------