%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV371+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 : n007.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 02:50:40 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV371+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
% 0.08/0.35 % Computer : n007.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 08:41:35 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f58,axiom,(
% 0.13/0.38 (! [U,V] :( pi_sharp_find_min(U,V)<=> ( contains_pq(U,V)& issmallestelement_pq(U,V) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f63,lemma,(
% 0.13/0.38 (! [U,V,W] :( phi(findmin_cpq_eff(triple(U,V,W)))=> contains_pq(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f64,lemma,(
% 0.13/0.38 (! [U,V,W] :( phi(findmin_cpq_eff(triple(U,V,W)))=> issmallestelement_pq(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f65,conjecture,(
% 0.13/0.38 (! [U,V,W] :( phi(findmin_cpq_eff(triple(U,V,W)))=> pi_sharp_find_min(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f66,negated_conjecture,(
% 0.13/0.38 ~((! [U,V,W] :( phi(findmin_cpq_eff(triple(U,V,W)))=> pi_sharp_find_min(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ) ))),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f65])).
% 0.13/0.38 fof(f204,plain,(
% 0.13/0.38 ![U,V]: ((~pi_sharp_find_min(U,V)|(contains_pq(U,V)&issmallestelement_pq(U,V)))&(pi_sharp_find_min(U,V)|(~contains_pq(U,V)|~issmallestelement_pq(U,V))))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f58])).
% 0.13/0.38 fof(f205,plain,(
% 0.13/0.38 (![U,V]: (~pi_sharp_find_min(U,V)|(contains_pq(U,V)&issmallestelement_pq(U,V))))&(![U,V]: (pi_sharp_find_min(U,V)|(~contains_pq(U,V)|~issmallestelement_pq(U,V))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f204])).
% 0.13/0.38 fof(f208,plain,(
% 0.13/0.38 ![X0,X1]: (pi_sharp_find_min(X0,X1)|~contains_pq(X0,X1)|~issmallestelement_pq(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f205])).
% 0.13/0.38 fof(f231,plain,(
% 0.13/0.38 ![U,V,W]: (~phi(findmin_cpq_eff(triple(U,V,W)))|contains_pq(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f63])).
% 0.13/0.38 fof(f232,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~phi(findmin_cpq_eff(triple(X0,X1,X2)))|contains_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f231])).
% 0.13/0.38 fof(f233,plain,(
% 0.13/0.38 ![U,V,W]: (~phi(findmin_cpq_eff(triple(U,V,W)))|issmallestelement_pq(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 0.13/0.38 fof(f234,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~phi(findmin_cpq_eff(triple(X0,X1,X2)))|issmallestelement_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f233])).
% 0.13/0.38 fof(f235,plain,(
% 0.13/0.38 (?[U,V,W]: (phi(findmin_cpq_eff(triple(U,V,W)))&~pi_sharp_find_min(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W)))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f66])).
% 0.13/0.38 fof(f236,plain,(
% 0.13/0.38 (phi(findmin_cpq_eff(triple(sK4_skl,sK5_skl,sK6_skl)))&~pi_sharp_find_min(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl))))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl]),skolemize(U,sK4_skl),skolemize(V,sK5_skl),skolemize(W,sK6_skl)],[f235])).
% 0.13/0.38 fof(f237,plain,(
% 0.13/0.38 phi(findmin_cpq_eff(triple(sK4_skl,sK5_skl,sK6_skl)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f236])).
% 0.13/0.38 fof(f238,plain,(
% 0.13/0.38 ~pi_sharp_find_min(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f236])).
% 0.13/0.38 fof(f250,plain,(
% 0.13/0.38 contains_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f232,f237])).
% 0.13/0.38 fof(f253,definition,(
% 0.13/0.38 sQ2_spl <=> (pi_sharp_find_min(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl))))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f254,plain,(
% 0.13/0.38 pi_sharp_find_min(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl)))|~sQ2_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f253])).
% 0.13/0.38 fof(f264,plain,(
% 0.13/0.38 $false|~sQ2_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f254,f238])).
% 0.13/0.38 fof(f265,plain,(
% 0.13/0.38 ~sQ2_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f264])).
% 0.13/0.38 fof(f283,plain,(
% 0.13/0.38 issmallestelement_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f234,f237])).
% 0.13/0.38 fof(f284,plain,(
% 0.13/0.38 pi_sharp_find_min(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl)))|~contains_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f283,f208])).
% 0.13/0.38 fof(f286,definition,(
% 0.13/0.38 sQ7_spl <=> (contains_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl))))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f288,plain,(
% 0.13/0.38 ~contains_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl)))|sQ7_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f286])).
% 0.13/0.38 fof(f289,plain,(
% 0.13/0.38 sQ2_spl|~sQ7_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f284,f253,f286])).
% 0.13/0.38 fof(f291,plain,(
% 0.13/0.38 $false|sQ7_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f288,f250])).
% 0.13/0.38 fof(f292,plain,(
% 0.13/0.38 sQ7_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f291])).
% 0.13/0.38 fof(f293,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f265,f289,f292])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.049788 seconds
% 0.13/0.41 % CPU time: 0.078556 seconds
% 0.13/0.41 % Total memory used: 13.134 MB
% 0.13/0.41 % Net memory used: 13.127 MB
%------------------------------------------------------------------------------