%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV385+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 02:50:41 PM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV385+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 08:39:28 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f42,lemma,(
% 0.14/0.39 (! [U,V,W] :( ~ ok(triple(U,V,W))=> ~ ok(im_succ_cpq(triple(U,V,W))) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f43,lemma,(
% 0.14/0.39 (! [U,V,W] :( ~ check_cpq(triple(U,V,W))=> ( ~ check_cpq(im_succ_cpq(triple(U,V,W)))| ~ ok(im_succ_cpq(triple(U,V,W))) ) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f44,conjecture,(
% 0.14/0.39 (! [U,V,W] :( ( ~ check_cpq(triple(U,V,W))| ~ ok(triple(U,V,W)) )=> ( ~ check_cpq(im_succ_cpq(triple(U,V,W)))| ~ ok(im_succ_cpq(triple(U,V,W))) ) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f45,negated_conjecture,(
% 0.14/0.39 ~((! [U,V,W] :( ( ~ check_cpq(triple(U,V,W))| ~ ok(triple(U,V,W)) )=> ( ~ check_cpq(im_succ_cpq(triple(U,V,W)))| ~ ok(im_succ_cpq(triple(U,V,W))) ) ) ))),
% 0.14/0.39 inference(negated_conjecture,[status(cth)],[f44])).
% 0.14/0.39 fof(f146,plain,(
% 0.14/0.39 ![U,V,W]: (ok(triple(U,V,W))|~ok(im_succ_cpq(triple(U,V,W))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.14/0.39 fof(f147,plain,(
% 0.14/0.39 ![X0,X1,X2]: (ok(triple(X0,X1,X2))|~ok(im_succ_cpq(triple(X0,X1,X2))))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f146])).
% 0.14/0.39 fof(f148,plain,(
% 0.14/0.39 ![U,V,W]: (check_cpq(triple(U,V,W))|(~check_cpq(im_succ_cpq(triple(U,V,W)))|~ok(im_succ_cpq(triple(U,V,W)))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.14/0.39 fof(f149,plain,(
% 0.14/0.39 ![X0,X1,X2]: (check_cpq(triple(X0,X1,X2))|~check_cpq(im_succ_cpq(triple(X0,X1,X2)))|~ok(im_succ_cpq(triple(X0,X1,X2))))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f148])).
% 0.14/0.39 fof(f150,plain,(
% 0.14/0.39 (?[U,V,W]: ((~check_cpq(triple(U,V,W))|~ok(triple(U,V,W)))&(check_cpq(im_succ_cpq(triple(U,V,W)))&ok(im_succ_cpq(triple(U,V,W))))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.14/0.39 fof(f151,plain,(
% 0.14/0.39 ((~check_cpq(triple(sK0_skl,sK1_skl,sK2_skl))|~ok(triple(sK0_skl,sK1_skl,sK2_skl)))&(check_cpq(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl)))&ok(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl)))))),
% 0.14/0.39 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)],[f150])).
% 0.14/0.39 fof(f152,plain,(
% 0.14/0.39 ~check_cpq(triple(sK0_skl,sK1_skl,sK2_skl))|~ok(triple(sK0_skl,sK1_skl,sK2_skl))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f151])).
% 0.14/0.39 fof(f153,plain,(
% 0.14/0.39 check_cpq(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f151])).
% 0.14/0.39 fof(f154,plain,(
% 0.14/0.39 ok(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f151])).
% 0.14/0.39 fof(f155,definition,(
% 0.14/0.39 sQ0_spl <=> (check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f158,definition,(
% 0.14/0.39 sQ1_spl <=> (ok(triple(sK0_skl,sK1_skl,sK2_skl)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f160,plain,(
% 0.14/0.39 ~ok(triple(sK0_skl,sK1_skl,sK2_skl))|sQ1_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f158])).
% 0.14/0.39 fof(f161,plain,(
% 0.14/0.39 ~sQ0_spl|~sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f152,f155,f158])).
% 0.14/0.39 fof(f165,plain,(
% 0.14/0.39 ok(triple(sK0_skl,sK1_skl,sK2_skl))),
% 0.14/0.39 inference(resolution,[status(thm)],[f147,f154])).
% 0.14/0.39 fof(f166,plain,(
% 0.14/0.39 check_cpq(triple(sK0_skl,sK1_skl,sK2_skl))|~ok(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f149,f153])).
% 0.14/0.39 fof(f167,definition,(
% 0.14/0.39 sQ2_spl <=> (ok(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl))))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f169,plain,(
% 0.14/0.39 ~ok(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl)))|sQ2_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f167])).
% 0.14/0.39 fof(f170,plain,(
% 0.14/0.39 sQ0_spl|~sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f166,f155,f167])).
% 0.14/0.39 fof(f171,plain,(
% 0.14/0.39 $false|sQ2_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f169,f154])).
% 0.14/0.39 fof(f172,plain,(
% 0.14/0.39 sQ2_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f171])).
% 0.14/0.39 fof(f173,plain,(
% 0.14/0.39 $false|sQ1_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f160,f165])).
% 0.14/0.39 fof(f174,plain,(
% 0.14/0.39 sQ1_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f173])).
% 0.14/0.39 fof(f175,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f161,f170,f172,f174])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.050437 seconds
% 0.14/0.42 % CPU time: 0.135132 seconds
% 0.14/0.42 % Total memory used: 103.033 MB
% 0.14/0.42 % Net memory used: 102.985 MB
%------------------------------------------------------------------------------