%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV381+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 : n011.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 5.61s 1.23s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV381+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 : n011.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 08:43:56 UTC 2026
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 5.61/1.23 % Refutation found
% 5.61/1.23 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.61/1.23 % SZS output start CNFRefutation for theBenchmark
% 5.61/1.23 fof(f2,axiom,(
% 5.61/1.23 (! [U,V] :( less_than(U,V)| less_than(V,U) ) )),
% 5.61/1.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.61/1.23 fof(f4,axiom,(
% 5.61/1.23 (! [U,V] :( strictly_less_than(U,V)<=> ( less_than(U,V)& ~ less_than(V,U) ) ) )),
% 5.61/1.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.61/1.23 fof(f10,axiom,(
% 5.61/1.23 (! [U,V] :( issmallestelement_pq(U,V)<=> (! [W] :( contains_pq(U,W)=> less_than(V,W) ) )) )),
% 5.61/1.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.61/1.23 fof(f63,lemma,(
% 5.61/1.23 (! [U,V,W,X] :( contains_cpq(triple(U,V,W),X)<=> contains_pq(i(triple(U,V,W)),X) ) )),
% 5.61/1.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.61/1.23 fof(f64,lemma,(
% 5.61/1.23 (! [U,V,W] :( (? [X] :( contains_cpq(triple(U,V,W),X)& strictly_less_than(X,findmin_cpq_res(triple(U,V,W))) ))=> ~ phi(findmin_cpq_eff(triple(U,V,W))) ) )),
% 5.61/1.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.61/1.23 fof(f65,conjecture,(
% 5.61/1.23 (! [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))) ) )),
% 5.61/1.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.61/1.23 fof(f66,negated_conjecture,(
% 5.61/1.23 ~((! [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))) ) ))),
% 5.61/1.23 inference(negated_conjecture,[status(cth)],[f65])).
% 5.61/1.23 fof(f70,plain,(
% 5.61/1.23 ![X0,X1]: (less_than(X0,X1)|less_than(X1,X0))),
% 5.61/1.23 inference(cnf_transformation,[status(thm)],[f2])).
% 5.61/1.23 fof(f72,plain,(
% 5.61/1.23 ![U,V]: ((~strictly_less_than(U,V)|(less_than(U,V)&~less_than(V,U)))&(strictly_less_than(U,V)|(~less_than(U,V)|less_than(V,U))))),
% 5.61/1.23 inference(NNF_transformation,[status(thm)],[f4])).
% 5.61/1.23 fof(f73,plain,(
% 5.61/1.23 (![U,V]: (~strictly_less_than(U,V)|(less_than(U,V)&~less_than(V,U))))&(![U,V]: (strictly_less_than(U,V)|(~less_than(U,V)|less_than(V,U))))),
% 5.61/1.23 inference(miniscoping,[status(thm)],[f72])).
% 5.61/1.23 fof(f76,plain,(
% 5.61/1.23 ![X0,X1]: (strictly_less_than(X0,X1)|~less_than(X0,X1)|less_than(X1,X0))),
% 5.61/1.23 inference(cnf_transformation,[status(thm)],[f73])).
% 5.61/1.23 fof(f86,plain,(
% 5.61/1.23 ![U,V]: (issmallestelement_pq(U,V)<=>(![W]: (~contains_pq(U,W)|less_than(V,W))))),
% 5.61/1.23 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 5.61/1.23 fof(f87,plain,(
% 5.61/1.23 ![U,V]: ((~issmallestelement_pq(U,V)|(![W]: (~contains_pq(U,W)|less_than(V,W))))&(issmallestelement_pq(U,V)|(?[W]: (contains_pq(U,W)&~less_than(V,W)))))),
% 5.61/1.23 inference(NNF_transformation,[status(thm)],[f86])).
% 5.61/1.23 fof(f88,plain,(
% 5.61/1.23 (![U,V]: (~issmallestelement_pq(U,V)|(![W]: (~contains_pq(U,W)|less_than(V,W)))))&(![U,V]: (issmallestelement_pq(U,V)|(?[W]: (contains_pq(U,W)&~less_than(V,W)))))),
% 5.61/1.23 inference(miniscoping,[status(thm)],[f87])).
% 5.61/1.23 fof(f89,plain,(
% 5.61/1.23 (![U,V]: (~issmallestelement_pq(U,V)|(![W]: (~contains_pq(U,W)|less_than(V,W)))))&(![U,V]: (issmallestelement_pq(U,V)|(contains_pq(U,sK0_skl(V,U))&~less_than(V,sK0_skl(V,U)))))),
% 5.61/1.23 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W,sK0_skl(V,U))],[f88])).
% 5.61/1.23 fof(f91,plain,(
% 5.61/1.23 ![X0,X1]: (issmallestelement_pq(X0,X1)|contains_pq(X0,sK0_skl(X1,X0)))),
% 5.61/1.23 inference(cnf_transformation,[status(thm)],[f89])).
% 5.61/1.23 fof(f92,plain,(
% 5.61/1.23 ![X0,X1]: (issmallestelement_pq(X0,X1)|~less_than(X1,sK0_skl(X1,X0)))),
% 5.61/1.23 inference(cnf_transformation,[status(thm)],[f89])).
% 5.61/1.23 fof(f231,plain,(
% 5.61/1.23 ![U,V,W,X]: ((~contains_cpq(triple(U,V,W),X)|contains_pq(i(triple(U,V,W)),X))&(contains_cpq(triple(U,V,W),X)|~contains_pq(i(triple(U,V,W)),X)))),
% 5.61/1.23 inference(NNF_transformation,[status(thm)],[f63])).
% 5.61/1.23 fof(f232,plain,(
% 5.61/1.23 (![U,V,W,X]: (~contains_cpq(triple(U,V,W),X)|contains_pq(i(triple(U,V,W)),X)))&(![U,V,W,X]: (contains_cpq(triple(U,V,W),X)|~contains_pq(i(triple(U,V,W)),X)))),
% 5.61/1.23 inference(miniscoping,[status(thm)],[f231])).
% 5.61/1.23 fof(f234,plain,(
% 5.61/1.23 ![X0,X1,X2,X3]: (contains_cpq(triple(X0,X1,X2),X3)|~contains_pq(i(triple(X0,X1,X2)),X3))),
% 5.61/1.23 inference(cnf_transformation,[status(thm)],[f232])).
% 5.61/1.23 fof(f235,plain,(
% 5.61/1.23 ![U,V,W]: ((![X]: (~contains_cpq(triple(U,V,W),X)|~strictly_less_than(X,findmin_cpq_res(triple(U,V,W)))))|~phi(findmin_cpq_eff(triple(U,V,W))))),
% 5.61/1.23 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 5.61/1.27 fof(f236,plain,(
% 5.61/1.27 ![X0,X1,X2,X3]: (~contains_cpq(triple(X0,X1,X2),X3)|~strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))|~phi(findmin_cpq_eff(triple(X0,X1,X2))))),
% 5.61/1.27 inference(cnf_transformation,[status(thm)],[f235])).
% 5.61/1.27 fof(f237,plain,(
% 5.61/1.27 (?[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)))))),
% 5.61/1.27 inference(pre_NNF_transformation,[status(thm)],[f66])).
% 5.61/1.27 fof(f238,plain,(
% 5.61/1.27 (phi(findmin_cpq_eff(triple(sK4_skl,sK5_skl,sK6_skl)))&~issmallestelement_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl))))),
% 5.61/1.27 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)],[f237])).
% 5.61/1.27 fof(f239,plain,(
% 5.61/1.27 phi(findmin_cpq_eff(triple(sK4_skl,sK5_skl,sK6_skl)))),
% 5.61/1.27 inference(cnf_transformation,[status(thm)],[f238])).
% 5.61/1.27 fof(f240,plain,(
% 5.61/1.27 ~issmallestelement_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl)))),
% 5.61/1.27 inference(cnf_transformation,[status(thm)],[f238])).
% 5.61/1.27 fof(f261,plain,(
% 5.61/1.27 ![X0,X1]: (strictly_less_than(X0,X1)|less_than(X1,X0))),
% 5.61/1.27 inference(forward_subsumption_resolution,[status(thm)],[f76,f70])).
% 5.61/1.27 fof(f1217,plain,(
% 5.61/1.27 ![X0,X1,X2,X3]: (contains_cpq(triple(X0,X1,X2),sK0_skl(X3,i(triple(X0,X1,X2))))|issmallestelement_pq(i(triple(X0,X1,X2)),X3))),
% 5.61/1.27 inference(resolution,[status(thm)],[f234,f91])).
% 5.61/1.27 fof(f1222,plain,(
% 5.61/1.27 ![X0,X1,X2,X3]: (~contains_cpq(triple(X0,X1,X2),X3)|~phi(findmin_cpq_eff(triple(X0,X1,X2)))|less_than(findmin_cpq_res(triple(X0,X1,X2)),X3))),
% 5.61/1.27 inference(resolution,[status(thm)],[f236,f261])).
% 5.61/1.27 fof(f3286,plain,(
% 5.61/1.27 ![X0]: (~contains_cpq(triple(sK4_skl,sK5_skl,sK6_skl),X0)|less_than(findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl)),X0))),
% 5.61/1.27 inference(resolution,[status(thm)],[f1222,f239])).
% 5.61/1.27 fof(f3301,plain,(
% 5.61/1.27 ![X0]: (less_than(findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl)),sK0_skl(X0,i(triple(sK4_skl,sK5_skl,sK6_skl))))|issmallestelement_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),X0))),
% 5.61/1.27 inference(resolution,[status(thm)],[f3286,f1217])).
% 5.61/1.27 fof(f4139,plain,(
% 5.61/1.27 issmallestelement_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl)))|issmallestelement_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl)))),
% 5.61/1.27 inference(resolution,[status(thm)],[f3301,f92])).
% 5.61/1.27 fof(f4149,plain,(
% 5.61/1.27 issmallestelement_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl)))),
% 5.61/1.27 inference(duplicate_literals_removal,[status(thm)],[f4139])).
% 5.61/1.27 fof(f4150,plain,(
% 5.61/1.27 $false),
% 5.61/1.27 inference(forward_subsumption_resolution,[status(thm)],[f4149,f240])).
% 5.61/1.27 % SZS output end CNFRefutation for theBenchmark.p
% 5.61/1.29 % Elapsed time: 0.916186 seconds
% 5.61/1.29 % CPU time: 6.853972 seconds
% 5.61/1.29 % Total memory used: 188.161 MB
% 5.61/1.29 % Net memory used: 181.227 MB
%------------------------------------------------------------------------------