%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV416+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 : n013.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 02:50:44 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV416+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
% 0.09/0.35 % Computer : n013.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 08:44:51 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f56,axiom,(
% 0.13/0.39 (! [U,V] :( pi_sharp_remove(U,V)<=> contains_pq(U,V) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f57,axiom,(
% 0.13/0.39 (! [U,V] :( pi_remove(U,V)<=> pi_sharp_remove(i(U),V) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f64,lemma,(
% 0.13/0.39 (! [U,V,W,X] :( contains_pq(i(triple(U,V,W)),X)=> i(remove_cpq(triple(U,V,W),X)) = remove_pq(i(triple(U,V,W)),X) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f65,conjecture,(
% 0.13/0.39 (! [U,V,W,X] :( pi_remove(triple(U,V,W),X)=> ( phi(remove_cpq(triple(U,V,W),X))=> ( pi_sharp_remove(i(triple(U,V,W)),X)& i(remove_cpq(triple(U,V,W),X)) = remove_pq(i(triple(U,V,W)),X) ) ) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f66,negated_conjecture,(
% 0.13/0.39 ~((! [U,V,W,X] :( pi_remove(triple(U,V,W),X)=> ( phi(remove_cpq(triple(U,V,W),X))=> ( pi_sharp_remove(i(triple(U,V,W)),X)& i(remove_cpq(triple(U,V,W),X)) = remove_pq(i(triple(U,V,W)),X) ) ) ) ))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f65])).
% 0.13/0.39 fof(f196,plain,(
% 0.13/0.39 ![U,V]: ((~pi_sharp_remove(U,V)|contains_pq(U,V))&(pi_sharp_remove(U,V)|~contains_pq(U,V)))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f197,plain,(
% 0.13/0.39 (![U,V]: (~pi_sharp_remove(U,V)|contains_pq(U,V)))&(![U,V]: (pi_sharp_remove(U,V)|~contains_pq(U,V)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f196])).
% 0.13/0.39 fof(f198,plain,(
% 0.13/0.39 ![X0,X1]: (~pi_sharp_remove(X0,X1)|contains_pq(X0,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f197])).
% 0.13/0.39 fof(f200,plain,(
% 0.13/0.39 ![U,V]: ((~pi_remove(U,V)|pi_sharp_remove(i(U),V))&(pi_remove(U,V)|~pi_sharp_remove(i(U),V)))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f57])).
% 0.13/0.39 fof(f201,plain,(
% 0.13/0.39 (![U,V]: (~pi_remove(U,V)|pi_sharp_remove(i(U),V)))&(![U,V]: (pi_remove(U,V)|~pi_sharp_remove(i(U),V)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f200])).
% 0.13/0.39 fof(f202,plain,(
% 0.13/0.39 ![X0,X1]: (~pi_remove(X0,X1)|pi_sharp_remove(i(X0),X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f201])).
% 0.13/0.39 fof(f232,plain,(
% 0.13/0.39 ![U,V,W,X]: (~contains_pq(i(triple(U,V,W)),X)|i(remove_cpq(triple(U,V,W),X))=remove_pq(i(triple(U,V,W)),X))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 0.13/0.39 fof(f233,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (~contains_pq(i(triple(X0,X1,X2)),X3)|i(remove_cpq(triple(X0,X1,X2),X3))=remove_pq(i(triple(X0,X1,X2)),X3))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f232])).
% 0.13/0.39 fof(f234,plain,(
% 0.13/0.39 (?[U,V,W,X]: (pi_remove(triple(U,V,W),X)&(phi(remove_cpq(triple(U,V,W),X))&(~pi_sharp_remove(i(triple(U,V,W)),X)|~i(remove_cpq(triple(U,V,W),X))=remove_pq(i(triple(U,V,W)),X)))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f66])).
% 0.13/0.39 fof(f235,plain,(
% 0.13/0.39 (pi_remove(triple(sK4_skl,sK5_skl,sK6_skl),sK7_skl)&(phi(remove_cpq(triple(sK4_skl,sK5_skl,sK6_skl),sK7_skl))&(~pi_sharp_remove(i(triple(sK4_skl,sK5_skl,sK6_skl)),sK7_skl)|~i(remove_cpq(triple(sK4_skl,sK5_skl,sK6_skl),sK7_skl))=remove_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),sK7_skl))))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl]),skolemize(U,sK4_skl),skolemize(V,sK5_skl),skolemize(W,sK6_skl),skolemize(X,sK7_skl)],[f234])).
% 0.13/0.39 fof(f236,plain,(
% 0.13/0.39 pi_remove(triple(sK4_skl,sK5_skl,sK6_skl),sK7_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f235])).
% 0.13/0.39 fof(f238,plain,(
% 0.13/0.39 ~pi_sharp_remove(i(triple(sK4_skl,sK5_skl,sK6_skl)),sK7_skl)|~i(remove_cpq(triple(sK4_skl,sK5_skl,sK6_skl),sK7_skl))=remove_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),sK7_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f235])).
% 0.13/0.39 fof(f242,plain,(
% 0.13/0.39 pi_sharp_remove(i(triple(sK4_skl,sK5_skl,sK6_skl)),sK7_skl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f202,f236])).
% 0.13/0.39 fof(f246,plain,(
% 0.13/0.39 ~i(remove_cpq(triple(sK4_skl,sK5_skl,sK6_skl),sK7_skl))=remove_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),sK7_skl)),
% 0.13/0.39 inference(backward_subsumption_resolution,[status(thm)],[f238,f242])).
% 0.13/0.39 fof(f247,plain,(
% 0.13/0.39 contains_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),sK7_skl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f242,f198])).
% 0.13/0.39 fof(f261,plain,(
% 0.13/0.40 i(remove_cpq(triple(sK4_skl,sK5_skl,sK6_skl),sK7_skl))=remove_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),sK7_skl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f233,f247])).
% 0.13/0.40 fof(f264,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f261,f246])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.059006 seconds
% 0.13/0.42 % CPU time: 0.155119 seconds
% 0.13/0.42 % Total memory used: 104.817 MB
% 0.13/0.42 % Net memory used: 104.721 MB
%------------------------------------------------------------------------------