%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV409+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 0.15s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV409+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:45:04 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.15/0.46 % Refutation found
% 0.15/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.46 fof(f2,axiom,(
% 0.15/0.46 (! [U,V] :( less_than(U,V)| less_than(V,U) ) )),
% 0.15/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f4,axiom,(
% 0.15/0.46 (! [U,V] :( strictly_less_than(U,V)<=> ( less_than(U,V)& ~ less_than(V,U) ) ) )),
% 0.15/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f19,lemma,(
% 0.15/0.46 (! [U,V] :( contains_slb(U,V)=> (? [W] : pair_in_list(U,V,W) )) )),
% 0.15/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f20,lemma,(
% 0.15/0.46 (! [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) ) )),
% 0.15/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f21,lemma,(
% 0.15/0.46 (! [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) ) )) )),
% 0.15/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f22,conjecture,(
% 0.15/0.46 (! [U,V,W] :( ( contains_slb(U,V)& strictly_less_than(V,W) )=> ( pair_in_list(update_slb(U,W),V,W)| (? [X] :( pair_in_list(update_slb(U,W),V,X)& less_than(W,X) ) )) ) )),
% 0.15/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f23,negated_conjecture,(
% 0.15/0.46 ~((! [U,V,W] :( ( contains_slb(U,V)& strictly_less_than(V,W) )=> ( pair_in_list(update_slb(U,W),V,W)| (? [X] :( pair_in_list(update_slb(U,W),V,X)& less_than(W,X) ) )) ) ))),
% 0.15/0.46 inference(negated_conjecture,[status(cth)],[f22])).
% 0.15/0.46 fof(f27,plain,(
% 0.15/0.46 ![X0,X1]: (less_than(X0,X1)|less_than(X1,X0))),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.46 fof(f29,plain,(
% 0.15/0.46 ![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))))),
% 0.15/0.46 inference(NNF_transformation,[status(thm)],[f4])).
% 0.15/0.46 fof(f30,plain,(
% 0.15/0.46 (![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))))),
% 0.15/0.46 inference(miniscoping,[status(thm)],[f29])).
% 0.15/0.46 fof(f33,plain,(
% 0.15/0.46 ![X0,X1]: (strictly_less_than(X0,X1)|~less_than(X0,X1)|less_than(X1,X0))),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f30])).
% 0.15/0.46 fof(f65,plain,(
% 0.15/0.46 ![U,V]: (~contains_slb(U,V)|(?[W]: pair_in_list(U,V,W)))),
% 0.15/0.46 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.15/0.46 fof(f66,plain,(
% 0.15/0.46 ![U,V]: (~contains_slb(U,V)|pair_in_list(U,V,sK0_skl(V,U)))),
% 0.15/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W,sK0_skl(V,U))],[f65])).
% 0.15/0.46 fof(f67,plain,(
% 0.15/0.46 ![X0,X1]: (~contains_slb(X0,X1)|pair_in_list(X0,X1,sK0_skl(X1,X0)))),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f66])).
% 0.15/0.46 fof(f68,plain,(
% 0.15/0.46 ![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))),
% 0.15/0.46 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.15/0.46 fof(f69,plain,(
% 0.15/0.46 ![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))),
% 0.15/0.46 inference(miniscoping,[status(thm)],[f68])).
% 0.15/0.46 fof(f70,plain,(
% 0.15/0.46 ![X0,X1,X2,X3]: (~pair_in_list(X0,X1,X2)|~strictly_less_than(X1,X3)|~strictly_less_than(X2,X3)|pair_in_list(update_slb(X0,X3),X1,X3))),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f69])).
% 0.15/0.46 fof(f71,plain,(
% 0.15/0.46 ![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))))),
% 0.15/0.46 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.15/0.46 fof(f72,plain,(
% 0.15/0.46 ![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))))),
% 0.15/0.46 inference(miniscoping,[status(thm)],[f71])).
% 0.15/0.46 fof(f73,plain,(
% 0.15/0.46 ![U,V,X]: ((![W]: ((~pair_in_list(U,V,W)|~strictly_less_than(V,X))|~less_than(X,W)))|(pair_in_list(update_slb(U,X),V,sK1_skl(X,V,U))&less_than(X,sK1_skl(X,V,U))))),
% 0.15/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(X,V,U))],[f72])).
% 0.15/0.46 fof(f74,plain,(
% 0.15/0.46 ![X0,X1,X2,X3]: (~pair_in_list(X0,X1,X2)|~strictly_less_than(X1,X3)|~less_than(X3,X2)|pair_in_list(update_slb(X0,X3),X1,sK1_skl(X3,X1,X0)))),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f73])).
% 0.15/0.46 fof(f75,plain,(
% 0.15/0.46 ![X0,X1,X2,X3]: (~pair_in_list(X0,X1,X2)|~strictly_less_than(X1,X3)|~less_than(X3,X2)|less_than(X3,sK1_skl(X3,X1,X0)))),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f73])).
% 0.15/0.46 fof(f76,plain,(
% 0.15/0.46 (?[U,V,W]: ((contains_slb(U,V)&strictly_less_than(V,W))&(~pair_in_list(update_slb(U,W),V,W)&(![X]: (~pair_in_list(update_slb(U,W),V,X)|~less_than(W,X))))))),
% 0.15/0.46 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.15/0.46 fof(f77,plain,(
% 0.15/0.46 ((contains_slb(sK2_skl,sK3_skl)&strictly_less_than(sK3_skl,sK4_skl))&(~pair_in_list(update_slb(sK2_skl,sK4_skl),sK3_skl,sK4_skl)&(![X]: (~pair_in_list(update_slb(sK2_skl,sK4_skl),sK3_skl,X)|~less_than(sK4_skl,X)))))),
% 0.15/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(U,sK2_skl),skolemize(V,sK3_skl),skolemize(W,sK4_skl)],[f76])).
% 0.15/0.46 fof(f78,plain,(
% 0.15/0.46 contains_slb(sK2_skl,sK3_skl)),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f77])).
% 0.15/0.46 fof(f79,plain,(
% 0.15/0.46 strictly_less_than(sK3_skl,sK4_skl)),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f77])).
% 0.15/0.46 fof(f80,plain,(
% 0.15/0.46 ~pair_in_list(update_slb(sK2_skl,sK4_skl),sK3_skl,sK4_skl)),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f77])).
% 0.15/0.46 fof(f81,plain,(
% 0.15/0.46 ![X0]: (~pair_in_list(update_slb(sK2_skl,sK4_skl),sK3_skl,X0)|~less_than(sK4_skl,X0))),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f77])).
% 0.15/0.46 fof(f82,plain,(
% 0.15/0.46 ![X0,X1]: (strictly_less_than(X0,X1)|less_than(X1,X0))),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f33,f27])).
% 0.15/0.46 fof(f114,plain,(
% 0.15/0.46 pair_in_list(sK2_skl,sK3_skl,sK0_skl(sK3_skl,sK2_skl))),
% 0.15/0.46 inference(resolution,[status(thm)],[f67,f78])).
% 0.15/0.46 fof(f178,plain,(
% 0.15/0.46 ![X0,X1,X2,X3]: (~pair_in_list(X0,X1,X2)|~strictly_less_than(X1,X3)|pair_in_list(update_slb(X0,X3),X1,X3)|less_than(X3,X2))),
% 0.15/0.46 inference(resolution,[status(thm)],[f70,f82])).
% 0.15/0.46 fof(f187,plain,(
% 0.15/0.46 ![X0,X1]: (~pair_in_list(X0,sK3_skl,X1)|~less_than(sK4_skl,X1)|less_than(sK4_skl,sK1_skl(sK4_skl,sK3_skl,X0)))),
% 0.15/0.46 inference(resolution,[status(thm)],[f75,f79])).
% 0.15/0.46 fof(f191,plain,(
% 0.15/0.46 ![X0,X1]: (~pair_in_list(X0,sK3_skl,X1)|~less_than(sK4_skl,X1)|pair_in_list(update_slb(X0,sK4_skl),sK3_skl,sK1_skl(sK4_skl,sK3_skl,X0)))),
% 0.15/0.46 inference(resolution,[status(thm)],[f74,f79])).
% 0.15/0.46 fof(f206,plain,(
% 0.15/0.46 ![X0,X1]: (~pair_in_list(X0,sK3_skl,X1)|pair_in_list(update_slb(X0,sK4_skl),sK3_skl,sK4_skl)|less_than(sK4_skl,X1))),
% 0.15/0.46 inference(resolution,[status(thm)],[f178,f79])).
% 0.15/0.46 fof(f286,plain,(
% 0.15/0.46 ![X0]: (~pair_in_list(sK2_skl,sK3_skl,X0)|less_than(sK4_skl,X0))),
% 0.15/0.46 inference(resolution,[status(thm)],[f206,f80])).
% 0.15/0.46 fof(f295,plain,(
% 0.15/0.46 ![X0]: (~pair_in_list(sK2_skl,sK3_skl,X0)|~less_than(sK4_skl,X0)|~less_than(sK4_skl,sK1_skl(sK4_skl,sK3_skl,sK2_skl)))),
% 0.15/0.46 inference(resolution,[status(thm)],[f191,f81])).
% 0.15/0.46 fof(f300,plain,(
% 0.15/0.46 ![X0]: (~pair_in_list(sK2_skl,sK3_skl,X0)|~less_than(sK4_skl,sK1_skl(sK4_skl,sK3_skl,sK2_skl)))),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f295,f286])).
% 0.15/0.46 fof(f422,plain,(
% 0.15/0.46 ~less_than(sK4_skl,sK1_skl(sK4_skl,sK3_skl,sK2_skl))),
% 0.15/0.46 inference(resolution,[status(thm)],[f300,f114])).
% 0.15/0.46 fof(f424,plain,(
% 0.15/0.46 ![X0]: (~pair_in_list(sK2_skl,sK3_skl,X0)|~less_than(sK4_skl,X0))),
% 0.15/0.46 inference(resolution,[status(thm)],[f422,f187])).
% 0.15/0.46 fof(f433,plain,(
% 0.15/0.46 ![X0]: (~pair_in_list(sK2_skl,sK3_skl,X0))),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f424,f286])).
% 0.15/0.46 fof(f434,plain,(
% 0.15/0.46 $false),
% 0.15/0.46 inference(backward_subsumption_resolution,[status(thm)],[f114,f433])).
% 0.15/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.47 % Elapsed time: 0.109133 seconds
% 0.15/0.47 % CPU time: 0.600290 seconds
% 0.15/0.47 % Total memory used: 109.605 MB
% 0.15/0.47 % Net memory used: 108.642 MB
%------------------------------------------------------------------------------