%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV413+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 : n026.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 0.18s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV413+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
% 0.18/0.44 % Computer : n026.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 08:47:52 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.49 % Refutation found
% 0.18/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.49 fof(f19,lemma,(
% 0.18/0.49 (! [U,V,W,X] :( ( pair_in_list(U,V,W)& less_than(X,W) )=> pair_in_list(update_slb(U,X),V,W) ) )),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f20,conjecture,(
% 0.18/0.49 (! [U,V,W,X] :( ( pair_in_list(U,V,W)& strictly_less_than(V,X)& less_than(X,W) )=> (? [Y] :( pair_in_list(update_slb(U,X),V,Y)& less_than(X,Y) ) )) )),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f21,negated_conjecture,(
% 0.18/0.49 ~((! [U,V,W,X] :( ( pair_in_list(U,V,W)& strictly_less_than(V,X)& less_than(X,W) )=> (? [Y] :( pair_in_list(update_slb(U,X),V,Y)& less_than(X,Y) ) )) ))),
% 0.18/0.49 inference(negated_conjecture,[status(cth)],[f20])).
% 0.18/0.49 fof(f63,plain,(
% 0.18/0.49 ![U,V,W,X]: ((~pair_in_list(U,V,W)|~less_than(X,W))|pair_in_list(update_slb(U,X),V,W))),
% 0.18/0.49 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.18/0.49 fof(f64,plain,(
% 0.18/0.49 ![X0,X1,X2,X3]: (~pair_in_list(X0,X1,X2)|~less_than(X3,X2)|pair_in_list(update_slb(X0,X3),X1,X2))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f63])).
% 0.18/0.49 fof(f65,plain,(
% 0.18/0.49 (?[U,V,W,X]: (((pair_in_list(U,V,W)&strictly_less_than(V,X))&less_than(X,W))&(![Y]: (~pair_in_list(update_slb(U,X),V,Y)|~less_than(X,Y)))))),
% 0.18/0.49 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.18/0.49 fof(f66,plain,(
% 0.18/0.49 ?[U,V,X]: ((?[W]: ((pair_in_list(U,V,W)&strictly_less_than(V,X))&less_than(X,W)))&(![Y]: (~pair_in_list(update_slb(U,X),V,Y)|~less_than(X,Y))))),
% 0.18/0.49 inference(miniscoping,[status(thm)],[f65])).
% 0.18/0.49 fof(f67,plain,(
% 0.18/0.49 (((pair_in_list(sK0_skl,sK1_skl,sK3_skl)&strictly_less_than(sK1_skl,sK2_skl))&less_than(sK2_skl,sK3_skl))&(![Y]: (~pair_in_list(update_slb(sK0_skl,sK2_skl),sK1_skl,Y)|~less_than(sK2_skl,Y))))),
% 0.18/0.49 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)],[f66])).
% 0.18/0.49 fof(f68,plain,(
% 0.18/0.49 pair_in_list(sK0_skl,sK1_skl,sK3_skl)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f67])).
% 0.18/0.49 fof(f70,plain,(
% 0.18/0.49 less_than(sK2_skl,sK3_skl)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f67])).
% 0.18/0.49 fof(f71,plain,(
% 0.18/0.49 ![X0]: (~pair_in_list(update_slb(sK0_skl,sK2_skl),sK1_skl,X0)|~less_than(sK2_skl,X0))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f67])).
% 0.18/0.49 fof(f76,plain,(
% 0.18/0.49 ![X0]: (~pair_in_list(sK0_skl,sK1_skl,X0)|~less_than(sK2_skl,X0)|~less_than(sK2_skl,X0))),
% 0.18/0.49 inference(resolution,[status(thm)],[f64,f71])).
% 0.18/0.49 fof(f77,plain,(
% 0.18/0.49 ![X0]: (~pair_in_list(sK0_skl,sK1_skl,X0)|~less_than(sK2_skl,X0))),
% 0.18/0.49 inference(duplicate_literals_removal,[status(thm)],[f76])).
% 0.18/0.49 fof(f80,plain,(
% 0.18/0.49 ~less_than(sK2_skl,sK3_skl)),
% 0.18/0.49 inference(resolution,[status(thm)],[f77,f68])).
% 0.18/0.49 fof(f81,plain,(
% 0.18/0.49 $false),
% 0.18/0.49 inference(forward_subsumption_resolution,[status(thm)],[f80,f70])).
% 0.18/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.53 % Elapsed time: 0.072458 seconds
% 0.24/0.53 % CPU time: 0.199881 seconds
% 0.24/0.53 % Total memory used: 102.175 MB
% 0.24/0.53 % Net memory used: 101.934 MB
%------------------------------------------------------------------------------