%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV389+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 02:50:42 PM UTC 2026
% Result : Theorem 0.17s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV389+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n016.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 08:49:07 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.48 % Refutation found
% 0.17/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.48 fof(f42,lemma,(
% 0.17/0.48 (! [U,V,W] :( ( check_cpq(removemin_cpq_eff(triple(U,V,W)))& ok(removemin_cpq_eff(triple(U,V,W))) )=> check_cpq(triple(U,V,W)) ) )),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f43,conjecture,(
% 0.17/0.48 (! [U,V,W] :( ~ check_cpq(triple(U,V,W))=> ( ~ check_cpq(removemin_cpq_eff(triple(U,V,W)))| ~ ok(removemin_cpq_eff(triple(U,V,W))) ) ) )),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f44,negated_conjecture,(
% 0.17/0.48 ~((! [U,V,W] :( ~ check_cpq(triple(U,V,W))=> ( ~ check_cpq(removemin_cpq_eff(triple(U,V,W)))| ~ ok(removemin_cpq_eff(triple(U,V,W))) ) ) ))),
% 0.17/0.48 inference(negated_conjecture,[status(cth)],[f43])).
% 0.17/0.48 fof(f145,plain,(
% 0.17/0.48 ![U,V,W]: ((~check_cpq(removemin_cpq_eff(triple(U,V,W)))|~ok(removemin_cpq_eff(triple(U,V,W))))|check_cpq(triple(U,V,W)))),
% 0.17/0.48 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.17/0.48 fof(f146,plain,(
% 0.17/0.48 ![X0,X1,X2]: (~check_cpq(removemin_cpq_eff(triple(X0,X1,X2)))|~ok(removemin_cpq_eff(triple(X0,X1,X2)))|check_cpq(triple(X0,X1,X2)))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f145])).
% 0.17/0.48 fof(f147,plain,(
% 0.17/0.48 (?[U,V,W]: (~check_cpq(triple(U,V,W))&(check_cpq(removemin_cpq_eff(triple(U,V,W)))&ok(removemin_cpq_eff(triple(U,V,W))))))),
% 0.17/0.48 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.17/0.48 fof(f148,plain,(
% 0.17/0.48 (~check_cpq(triple(sK0_skl,sK1_skl,sK2_skl))&(check_cpq(removemin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl)))&ok(removemin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl)))))),
% 0.17/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl),skolemize(W,sK2_skl)],[f147])).
% 0.17/0.48 fof(f149,plain,(
% 0.17/0.48 ~check_cpq(triple(sK0_skl,sK1_skl,sK2_skl))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f148])).
% 0.17/0.48 fof(f150,plain,(
% 0.17/0.48 check_cpq(removemin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl)))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f148])).
% 0.17/0.48 fof(f151,plain,(
% 0.17/0.48 ok(removemin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl)))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f148])).
% 0.17/0.48 fof(f155,plain,(
% 0.17/0.48 ~ok(removemin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl)))|check_cpq(triple(sK0_skl,sK1_skl,sK2_skl))),
% 0.17/0.48 inference(resolution,[status(thm)],[f146,f150])).
% 0.17/0.48 fof(f156,definition,(
% 0.17/0.48 sQ0_spl <=> (ok(removemin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl))))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f158,plain,(
% 0.17/0.48 ~ok(removemin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl)))|sQ0_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f156])).
% 0.17/0.48 fof(f159,definition,(
% 0.17/0.48 sQ1_spl <=> (check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f160,plain,(
% 0.17/0.48 check_cpq(triple(sK0_skl,sK1_skl,sK2_skl))|~sQ1_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f159])).
% 0.17/0.48 fof(f162,plain,(
% 0.17/0.48 ~sQ0_spl|sQ1_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f155,f156,f159])).
% 0.17/0.48 fof(f163,plain,(
% 0.17/0.48 $false|sQ0_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f158,f151])).
% 0.17/0.48 fof(f164,plain,(
% 0.17/0.48 sQ0_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f163])).
% 0.17/0.48 fof(f165,plain,(
% 0.17/0.48 $false|~sQ1_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f160,f149])).
% 0.17/0.48 fof(f166,plain,(
% 0.17/0.48 ~sQ1_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f165])).
% 0.17/0.48 fof(f167,plain,(
% 0.17/0.48 $false),
% 0.17/0.48 inference(sat_refutation,[status(thm)],[f162,f164,f166])).
% 0.17/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.50 % Elapsed time: 0.059604 seconds
% 0.17/0.50 % CPU time: 0.149180 seconds
% 0.17/0.50 % Total memory used: 54.794 MB
% 0.17/0.50 % Net memory used: 54.768 MB
%------------------------------------------------------------------------------