%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV169+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 : n016.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 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV169+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 : n016.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 08:38:22 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f53,conjecture,(
% 0.13/0.41 ( ( leq(n0,pv10)& leq(n0,pv11)& leq(n0,pv65)& leq(pv10,n135299)& leq(pv11,n4)& leq(pv65,n4)& (! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n135299)& leq(B,n4) )=> ( ( A = pv10& gt(pv11,B) )=> a_select3(q_init,A,B) = init ) ))& (! [C,D] :( ( leq(n0,C)& leq(n0,D)& leq(C,n135299)& leq(D,n4) )=> ( gt(pv10,C)=> a_select3(q_init,C,D) = init ) ))& (! [E] :( ( leq(n0,E)& leq(E,pred(pv10)) )=> (! [F] :( ( leq(n0,F)& leq(F,n4) )=> a_select3(q_init,E,F) = init ) )))& (! [G] :( ( leq(n0,G)& leq(G,n4) )=> a_select3(center_init,G,n0) = init ) ))=> a_select3(center_init,pv65,n0) = init ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f54,negated_conjecture,(
% 0.13/0.41 ~(( ( leq(n0,pv10)& leq(n0,pv11)& leq(n0,pv65)& leq(pv10,n135299)& leq(pv11,n4)& leq(pv65,n4)& (! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n135299)& leq(B,n4) )=> ( ( A = pv10& gt(pv11,B) )=> a_select3(q_init,A,B) = init ) ))& (! [C,D] :( ( leq(n0,C)& leq(n0,D)& leq(C,n135299)& leq(D,n4) )=> ( gt(pv10,C)=> a_select3(q_init,C,D) = init ) ))& (! [E] :( ( leq(n0,E)& leq(E,pred(pv10)) )=> (! [F] :( ( leq(n0,F)& leq(F,n4) )=> a_select3(q_init,E,F) = init ) )))& (! [G] :( ( leq(n0,G)& leq(G,n4) )=> a_select3(center_init,G,n0) = init ) ))=> a_select3(center_init,pv65,n0) = init ) )),
% 0.13/0.41 inference(negated_conjecture,[status(cth)],[f53])).
% 0.13/0.41 fof(f251,plain,(
% 0.13/0.41 ((((((((((leq(n0,pv10)&leq(n0,pv11))&leq(n0,pv65))&leq(pv10,n135299))&leq(pv11,n4))&leq(pv65,n4))&(![A,B]: ((((~leq(n0,A)|~leq(n0,B))|~leq(A,n135299))|~leq(B,n4))|((~A=pv10|~gt(pv11,B))|a_select3(q_init,A,B)=init))))&(![C,D]: ((((~leq(n0,C)|~leq(n0,D))|~leq(C,n135299))|~leq(D,n4))|(~gt(pv10,C)|a_select3(q_init,C,D)=init))))&(![E]: ((~leq(n0,E)|~leq(E,pred(pv10)))|(![F]: ((~leq(n0,F)|~leq(F,n4))|a_select3(q_init,E,F)=init)))))&(![G]: ((~leq(n0,G)|~leq(G,n4))|a_select3(center_init,G,n0)=init)))&~a_select3(center_init,pv65,n0)=init)),
% 0.13/0.41 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.13/0.41 fof(f254,plain,(
% 0.13/0.41 leq(n0,pv65)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f251])).
% 0.13/0.41 fof(f257,plain,(
% 0.13/0.41 leq(pv65,n4)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f251])).
% 0.13/0.41 fof(f261,plain,(
% 0.13/0.41 ![X0]: (~leq(n0,X0)|~leq(X0,n4)|a_select3(center_init,X0,n0)=init)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f251])).
% 0.13/0.41 fof(f262,plain,(
% 0.13/0.41 ~a_select3(center_init,pv65,n0)=init),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f251])).
% 0.13/0.41 fof(f367,plain,(
% 0.13/0.41 ~leq(n0,pv65)|a_select3(center_init,pv65,n0)=init),
% 0.13/0.41 inference(resolution,[status(thm)],[f261,f257])).
% 0.13/0.41 fof(f371,definition,(
% 0.13/0.41 sQ0_spl <=> (leq(n0,pv65))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f373,plain,(
% 0.13/0.41 ~leq(n0,pv65)|sQ0_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f371])).
% 0.13/0.41 fof(f374,definition,(
% 0.13/0.41 sQ1_spl <=> (a_select3(center_init,pv65,n0)=init)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f375,plain,(
% 0.13/0.41 a_select3(center_init,pv65,n0)=init|~sQ1_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f374])).
% 0.13/0.41 fof(f377,plain,(
% 0.13/0.41 ~sQ0_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f367,f371,f374])).
% 0.13/0.41 fof(f394,plain,(
% 0.13/0.41 $false|sQ0_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f373,f254])).
% 0.13/0.41 fof(f395,plain,(
% 0.13/0.41 sQ0_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f394])).
% 0.13/0.41 fof(f396,plain,(
% 0.13/0.41 $false|~sQ1_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f375,f262])).
% 0.13/0.41 fof(f397,plain,(
% 0.13/0.41 ~sQ1_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f396])).
% 0.13/0.41 fof(f398,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(sat_refutation,[status(thm)],[f377,f395,f397])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.063844 seconds
% 0.13/0.42 % CPU time: 0.218655 seconds
% 0.13/0.42 % Total memory used: 103.335 MB
% 0.13/0.42 % Net memory used: 102.992 MB
%------------------------------------------------------------------------------