%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV412+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 : n004.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 0.23s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV412+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n004.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 08:45:04 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 0.23/0.52 % Refutation found
% 0.23/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.23/0.52 fof(f19,lemma,(
% 0.23/0.52 (! [U,V,W,X] :( ( pair_in_list(U,V,W)& strictly_less_than(W,X) )=> pair_in_list(update_slb(U,X),V,X) ) )),
% 0.23/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.52 fof(f20,conjecture,(
% 0.23/0.52 (! [U,V,W,X] :( ( pair_in_list(U,V,W)& strictly_less_than(V,X)& strictly_less_than(W,X) )=> pair_in_list(update_slb(U,X),V,X) ) )),
% 0.23/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.52 fof(f21,negated_conjecture,(
% 0.23/0.52 ~((! [U,V,W,X] :( ( pair_in_list(U,V,W)& strictly_less_than(V,X)& strictly_less_than(W,X) )=> pair_in_list(update_slb(U,X),V,X) ) ))),
% 0.23/0.52 inference(negated_conjecture,[status(cth)],[f20])).
% 0.23/0.52 fof(f63,plain,(
% 0.23/0.52 ![U,V,W,X]: ((~pair_in_list(U,V,W)|~strictly_less_than(W,X))|pair_in_list(update_slb(U,X),V,X))),
% 0.23/0.52 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.23/0.52 fof(f64,plain,(
% 0.23/0.52 ![U,V,X]: ((![W]: (~pair_in_list(U,V,W)|~strictly_less_than(W,X)))|pair_in_list(update_slb(U,X),V,X))),
% 0.23/0.52 inference(miniscoping,[status(thm)],[f63])).
% 0.23/0.52 fof(f65,plain,(
% 0.23/0.52 ![X0,X1,X2,X3]: (~pair_in_list(X0,X1,X2)|~strictly_less_than(X2,X3)|pair_in_list(update_slb(X0,X3),X1,X3))),
% 0.23/0.52 inference(cnf_transformation,[status(thm)],[f64])).
% 0.23/0.52 fof(f66,plain,(
% 0.23/0.52 (?[U,V,W,X]: (((pair_in_list(U,V,W)&strictly_less_than(V,X))&strictly_less_than(W,X))&~pair_in_list(update_slb(U,X),V,X)))),
% 0.23/0.52 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.23/0.52 fof(f67,plain,(
% 0.23/0.52 ?[U,V,X]: ((?[W]: ((pair_in_list(U,V,W)&strictly_less_than(V,X))&strictly_less_than(W,X)))&~pair_in_list(update_slb(U,X),V,X))),
% 0.23/0.52 inference(miniscoping,[status(thm)],[f66])).
% 0.23/0.52 fof(f68,plain,(
% 0.23/0.52 (((pair_in_list(sK0_skl,sK1_skl,sK3_skl)&strictly_less_than(sK1_skl,sK2_skl))&strictly_less_than(sK3_skl,sK2_skl))&~pair_in_list(update_slb(sK0_skl,sK2_skl),sK1_skl,sK2_skl))),
% 0.23/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl),skolemize(X,sK2_skl),skolemize(W,sK3_skl)],[f67])).
% 0.23/0.52 fof(f69,plain,(
% 0.23/0.52 pair_in_list(sK0_skl,sK1_skl,sK3_skl)),
% 0.23/0.52 inference(cnf_transformation,[status(thm)],[f68])).
% 0.23/0.52 fof(f71,plain,(
% 0.23/0.52 strictly_less_than(sK3_skl,sK2_skl)),
% 0.23/0.52 inference(cnf_transformation,[status(thm)],[f68])).
% 0.23/0.52 fof(f72,plain,(
% 0.23/0.52 ~pair_in_list(update_slb(sK0_skl,sK2_skl),sK1_skl,sK2_skl)),
% 0.23/0.52 inference(cnf_transformation,[status(thm)],[f68])).
% 0.23/0.52 fof(f103,plain,(
% 0.23/0.52 ![X0]: (~strictly_less_than(sK3_skl,X0)|pair_in_list(update_slb(sK0_skl,X0),sK1_skl,X0))),
% 0.23/0.52 inference(resolution,[status(thm)],[f65,f69])).
% 0.23/0.52 fof(f104,plain,(
% 0.23/0.52 pair_in_list(update_slb(sK0_skl,sK2_skl),sK1_skl,sK2_skl)),
% 0.23/0.52 inference(resolution,[status(thm)],[f103,f71])).
% 0.23/0.52 fof(f105,plain,(
% 0.23/0.52 $false),
% 0.23/0.52 inference(forward_subsumption_resolution,[status(thm)],[f104,f72])).
% 0.23/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.59 % Elapsed time: 0.130142 seconds
% 0.23/0.59 % CPU time: 0.102261 seconds
% 0.23/0.59 % Total memory used: 3.214 MB
% 0.23/0.59 % Net memory used: 3.213 MB
%------------------------------------------------------------------------------