TSTP Solution File: SWV398+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV398+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:46:55 EDT 2024
% Result : Theorem 0.14s 0.60s
% Output : CNFRefutation 2.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV398+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n010.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 00:37:50 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 0.14/0.60 % Refutation found
% 0.14/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.60 fof(f2,axiom,(
% 0.14/0.60 (! [U,V] :( less_than(U,V)| less_than(V,U) ) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f3,axiom,(
% 0.14/0.60 (! [U] : less_than(U,U) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f4,axiom,(
% 0.14/0.60 (! [U,V] :( strictly_less_than(U,V)<=> ( less_than(U,V)& ~ less_than(V,U) ) ) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f10,axiom,(
% 0.14/0.60 (! [U,V] : ~ pair_in_list(create_slb,U,V) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f11,axiom,(
% 0.14/0.60 (! [U,V,W,X,Y] :( pair_in_list(insert_slb(U,pair(V,X)),W,Y)<=> ( pair_in_list(U,W,Y)| ( V = W& X = Y ) ) ) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f24,axiom,(
% 0.14/0.60 (! [U,V] : check_cpq(triple(U,create_slb,V)) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f25,axiom,(
% 0.14/0.60 (! [U,V,W,X,Y] :( less_than(Y,X)=> ( check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))<=> check_cpq(triple(U,V,W)) ) ) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f35,axiom,(
% 0.14/0.60 (! [U,V,W,X] :( ( V != create_slb& ~ contains_slb(V,findmin_pqp_res(U)) )=> findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),bad) ) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f36,axiom,(
% 0.14/0.60 (! [U,V,W,X] :( ( V != create_slb& contains_slb(V,findmin_pqp_res(U))& strictly_less_than(findmin_pqp_res(U),lookup_slb(V,findmin_pqp_res(U))) )=> findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),bad) ) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f37,axiom,(
% 0.14/0.60 (! [U,V,W,X] :( ( V != create_slb& contains_slb(V,findmin_pqp_res(U))& less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)) )=> findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),W) ) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f42,lemma,(
% 0.14/0.60 (! [U,V,W] :( check_cpq(triple(U,V,W))<=> (! [X,Y] :( pair_in_list(V,X,Y)=> less_than(Y,X) ) )) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f43,lemma,(
% 0.14/0.60 (! [U] :( (? [V,W] :( pair_in_list(U,V,W)& strictly_less_than(V,W) ))=> (! [X] :(? [Y,Z] :( pair_in_list(update_slb(U,X),Y,Z)& strictly_less_than(Y,Z) ) ))) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f44,conjecture,(
% 0.14/0.60 (! [U,V,W] :( ~ check_cpq(triple(U,V,W))=> ~ check_cpq(findmin_cpq_eff(triple(U,V,W))) ) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f45,negated_conjecture,(
% 0.14/0.60 ~((! [U,V,W] :( ~ check_cpq(triple(U,V,W))=> ~ check_cpq(findmin_cpq_eff(triple(U,V,W))) ) ))),
% 0.14/0.60 inference(negated_conjecture,[status(cth)],[f44])).
% 0.14/0.60 fof(f49,plain,(
% 0.14/0.60 ![X0,X1]: (less_than(X0,X1)|less_than(X1,X0))),
% 0.14/0.60 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.60 fof(f50,plain,(
% 0.14/0.60 ![X0]: (less_than(X0,X0))),
% 0.14/0.60 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.60 fof(f51,plain,(
% 0.14/0.60 ![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))))),
% 0.14/0.60 inference(NNF_transformation,[status(esa)],[f4])).
% 0.14/0.60 fof(f52,plain,(
% 0.14/0.60 (![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))))),
% 0.14/0.60 inference(miniscoping,[status(esa)],[f51])).
% 0.14/0.60 fof(f54,plain,(
% 0.14/0.60 ![X0,X1]: (~strictly_less_than(X0,X1)|~less_than(X1,X0))),
% 0.14/0.60 inference(cnf_transformation,[status(esa)],[f52])).
% 0.14/0.60 fof(f55,plain,(
% 0.14/0.60 ![X0,X1]: (strictly_less_than(X0,X1)|~less_than(X0,X1)|less_than(X1,X0))),
% 0.14/0.60 inference(cnf_transformation,[status(esa)],[f52])).
% 0.14/0.60 fof(f65,plain,(
% 0.14/0.60 ![X0,X1]: (~pair_in_list(create_slb,X0,X1))),
% 0.14/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.60 fof(f66,plain,(
% 0.14/0.60 ![U,V,W,X,Y]: ((~pair_in_list(insert_slb(U,pair(V,X)),W,Y)|(pair_in_list(U,W,Y)|(V=W&X=Y)))&(pair_in_list(insert_slb(U,pair(V,X)),W,Y)|(~pair_in_list(U,W,Y)&(~V=W|~X=Y))))),
% 0.14/0.60 inference(NNF_transformation,[status(esa)],[f11])).
% 0.14/0.60 fof(f67,plain,(
% 2.11/0.61 (![U,V,W,X,Y]: (~pair_in_list(insert_slb(U,pair(V,X)),W,Y)|(pair_in_list(U,W,Y)|(V=W&X=Y))))&(![U,V,W,X,Y]: (pair_in_list(insert_slb(U,pair(V,X)),W,Y)|(~pair_in_list(U,W,Y)&(~V=W|~X=Y))))),
% 2.11/0.61 inference(miniscoping,[status(esa)],[f66])).
% 2.11/0.61 fof(f71,plain,(
% 2.11/0.61 ![X0,X1,X2,X3,X4]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|~X1=X3|~X2=X4)),
% 2.11/0.61 inference(cnf_transformation,[status(esa)],[f67])).
% 2.11/0.61 fof(f98,plain,(
% 2.11/0.61 ![X0,X1]: (check_cpq(triple(X0,create_slb,X1)))),
% 2.11/0.61 inference(cnf_transformation,[status(esa)],[f24])).
% 2.11/0.61 fof(f99,plain,(
% 2.11/0.61 ![U,V,W,X,Y]: (~less_than(Y,X)|(check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))<=>check_cpq(triple(U,V,W))))),
% 2.11/0.61 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 2.11/0.61 fof(f100,plain,(
% 2.11/0.61 ![U,V,W,X,Y]: (~less_than(Y,X)|((~check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))|check_cpq(triple(U,V,W)))&(check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))|~check_cpq(triple(U,V,W)))))),
% 2.11/0.61 inference(NNF_transformation,[status(esa)],[f99])).
% 2.11/0.61 fof(f101,plain,(
% 2.11/0.61 ![X,Y]: (~less_than(Y,X)|((![U,V,W]: (~check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))|check_cpq(triple(U,V,W))))&(![U,V,W]: (check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))|~check_cpq(triple(U,V,W))))))),
% 2.11/0.61 inference(miniscoping,[status(esa)],[f100])).
% 2.11/0.61 fof(f102,plain,(
% 2.11/0.61 ![X0,X1,X2,X3,X4]: (~less_than(X0,X1)|~check_cpq(triple(X2,insert_slb(X3,pair(X1,X0)),X4))|check_cpq(triple(X2,X3,X4)))),
% 2.11/0.61 inference(cnf_transformation,[status(esa)],[f101])).
% 2.11/0.61 fof(f103,plain,(
% 2.11/0.61 ![X0,X1,X2,X3,X4]: (~less_than(X0,X1)|check_cpq(triple(X2,insert_slb(X3,pair(X1,X0)),X4))|~check_cpq(triple(X2,X3,X4)))),
% 2.11/0.61 inference(cnf_transformation,[status(esa)],[f101])).
% 2.11/0.61 fof(f131,plain,(
% 2.11/0.61 ![U,V,W,X]: ((V=create_slb|contains_slb(V,findmin_pqp_res(U)))|findmin_cpq_eff(triple(U,V,W))=triple(U,update_slb(V,findmin_pqp_res(U)),bad))),
% 2.11/0.61 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 2.11/0.61 fof(f132,plain,(
% 2.11/0.61 ![U,V]: ((V=create_slb|contains_slb(V,findmin_pqp_res(U)))|(![W]: findmin_cpq_eff(triple(U,V,W))=triple(U,update_slb(V,findmin_pqp_res(U)),bad)))),
% 2.11/0.61 inference(miniscoping,[status(esa)],[f131])).
% 2.11/0.61 fof(f133,plain,(
% 2.11/0.61 ![X0,X1,X2]: (X0=create_slb|contains_slb(X0,findmin_pqp_res(X1))|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad))),
% 2.11/0.61 inference(cnf_transformation,[status(esa)],[f132])).
% 2.11/0.61 fof(f134,plain,(
% 2.11/0.61 ![U,V,W,X]: (((V=create_slb|~contains_slb(V,findmin_pqp_res(U)))|~strictly_less_than(findmin_pqp_res(U),lookup_slb(V,findmin_pqp_res(U))))|findmin_cpq_eff(triple(U,V,W))=triple(U,update_slb(V,findmin_pqp_res(U)),bad))),
% 2.11/0.61 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 2.11/0.61 fof(f135,plain,(
% 2.11/0.61 ![U,V]: (((V=create_slb|~contains_slb(V,findmin_pqp_res(U)))|~strictly_less_than(findmin_pqp_res(U),lookup_slb(V,findmin_pqp_res(U))))|(![W]: findmin_cpq_eff(triple(U,V,W))=triple(U,update_slb(V,findmin_pqp_res(U)),bad)))),
% 2.11/0.61 inference(miniscoping,[status(esa)],[f134])).
% 2.11/0.61 fof(f136,plain,(
% 2.11/0.61 ![X0,X1,X2]: (X0=create_slb|~contains_slb(X0,findmin_pqp_res(X1))|~strictly_less_than(findmin_pqp_res(X1),lookup_slb(X0,findmin_pqp_res(X1)))|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad))),
% 2.11/0.61 inference(cnf_transformation,[status(esa)],[f135])).
% 2.11/0.61 fof(f137,plain,(
% 2.11/0.61 ![U,V,W,X]: (((V=create_slb|~contains_slb(V,findmin_pqp_res(U)))|~less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)))|findmin_cpq_eff(triple(U,V,W))=triple(U,update_slb(V,findmin_pqp_res(U)),W))),
% 2.11/0.61 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 2.11/0.61 fof(f138,plain,(
% 2.11/0.61 ![U,V]: (((V=create_slb|~contains_slb(V,findmin_pqp_res(U)))|~less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)))|(![W]: findmin_cpq_eff(triple(U,V,W))=triple(U,update_slb(V,findmin_pqp_res(U)),W)))),
% 2.11/0.61 inference(miniscoping,[status(esa)],[f137])).
% 2.11/0.61 fof(f139,plain,(
% 2.11/0.61 ![X0,X1,X2]: (X0=create_slb|~contains_slb(X0,findmin_pqp_res(X1))|~less_than(lookup_slb(X0,findmin_pqp_res(X1)),findmin_pqp_res(X1))|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2))),
% 2.11/0.61 inference(cnf_transformation,[status(esa)],[f138])).
% 2.11/0.61 fof(f146,plain,(
% 2.11/0.61 ![U,V,W]: (check_cpq(triple(U,V,W))<=>(![X,Y]: (~pair_in_list(V,X,Y)|less_than(Y,X))))),
% 2.11/0.61 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 2.11/0.61 fof(f147,plain,(
% 2.11/0.61 ![U,V,W]: ((~check_cpq(triple(U,V,W))|(![X,Y]: (~pair_in_list(V,X,Y)|less_than(Y,X))))&(check_cpq(triple(U,V,W))|(?[X,Y]: (pair_in_list(V,X,Y)&~less_than(Y,X)))))),
% 2.11/0.61 inference(NNF_transformation,[status(esa)],[f146])).
% 2.11/0.61 fof(f148,plain,(
% 2.11/0.61 (![V]: ((![U,W]: ~check_cpq(triple(U,V,W)))|(![X,Y]: (~pair_in_list(V,X,Y)|less_than(Y,X)))))&(![V]: ((![U,W]: check_cpq(triple(U,V,W)))|(?[X,Y]: (pair_in_list(V,X,Y)&~less_than(Y,X)))))),
% 2.11/0.61 inference(miniscoping,[status(esa)],[f147])).
% 2.11/0.61 fof(f149,plain,(
% 2.11/0.61 (![V]: ((![U,W]: ~check_cpq(triple(U,V,W)))|(![X,Y]: (~pair_in_list(V,X,Y)|less_than(Y,X)))))&(![V]: ((![U,W]: check_cpq(triple(U,V,W)))|(pair_in_list(V,sk0_0(V),sk0_1(V))&~less_than(sk0_1(V),sk0_0(V)))))),
% 2.11/0.61 inference(skolemization,[status(esa)],[f148])).
% 2.11/0.61 fof(f150,plain,(
% 2.11/0.61 ![X0,X1,X2,X3,X4]: (~check_cpq(triple(X0,X1,X2))|~pair_in_list(X1,X3,X4)|less_than(X4,X3))),
% 2.11/0.61 inference(cnf_transformation,[status(esa)],[f149])).
% 2.11/0.61 fof(f151,plain,(
% 2.11/0.61 ![X0,X1,X2]: (check_cpq(triple(X0,X1,X2))|pair_in_list(X1,sk0_0(X1),sk0_1(X1)))),
% 2.11/0.61 inference(cnf_transformation,[status(esa)],[f149])).
% 2.11/0.61 fof(f152,plain,(
% 2.11/0.61 ![X0,X1,X2]: (check_cpq(triple(X0,X1,X2))|~less_than(sk0_1(X1),sk0_0(X1)))),
% 2.11/0.61 inference(cnf_transformation,[status(esa)],[f149])).
% 2.11/0.61 fof(f153,plain,(
% 2.11/0.61 ![U]: ((![V,W]: (~pair_in_list(U,V,W)|~strictly_less_than(V,W)))|(![X]: ?[Y,Z]: (pair_in_list(update_slb(U,X),Y,Z)&strictly_less_than(Y,Z))))),
% 2.11/0.61 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 2.11/0.61 fof(f154,plain,(
% 2.11/0.61 ![U]: ((![V,W]: (~pair_in_list(U,V,W)|~strictly_less_than(V,W)))|(![X]: (pair_in_list(update_slb(U,X),sk0_2(X,U),sk0_3(X,U))&strictly_less_than(sk0_2(X,U),sk0_3(X,U)))))),
% 2.11/0.61 inference(skolemization,[status(esa)],[f153])).
% 2.11/0.61 fof(f155,plain,(
% 2.11/0.61 ![X0,X1,X2,X3]: (~pair_in_list(X0,X1,X2)|~strictly_less_than(X1,X2)|pair_in_list(update_slb(X0,X3),sk0_2(X3,X0),sk0_3(X3,X0)))),
% 2.11/0.61 inference(cnf_transformation,[status(esa)],[f154])).
% 2.11/0.61 fof(f156,plain,(
% 2.11/0.61 ![X0,X1,X2,X3]: (~pair_in_list(X0,X1,X2)|~strictly_less_than(X1,X2)|strictly_less_than(sk0_2(X3,X0),sk0_3(X3,X0)))),
% 2.11/0.61 inference(cnf_transformation,[status(esa)],[f154])).
% 2.11/0.61 fof(f157,plain,(
% 2.11/0.61 (?[U,V,W]: (~check_cpq(triple(U,V,W))&check_cpq(findmin_cpq_eff(triple(U,V,W)))))),
% 2.11/0.61 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 2.11/0.61 fof(f158,plain,(
% 2.11/0.61 (~check_cpq(triple(sk0_4,sk0_5,sk0_6))&check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,sk0_6))))),
% 2.11/0.61 inference(skolemization,[status(esa)],[f157])).
% 2.11/0.61 fof(f159,plain,(
% 2.11/0.61 ~check_cpq(triple(sk0_4,sk0_5,sk0_6))),
% 2.11/0.61 inference(cnf_transformation,[status(esa)],[f158])).
% 2.11/0.61 fof(f160,plain,(
% 2.11/0.61 check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,sk0_6)))),
% 2.11/0.61 inference(cnf_transformation,[status(esa)],[f158])).
% 2.11/0.61 fof(f162,plain,(
% 2.11/0.61 ![X0,X1,X2]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X1,X2))),
% 2.11/0.61 inference(destructive_equality_resolution,[status(esa)],[f71])).
% 2.11/0.61 fof(f164,plain,(
% 2.11/0.61 ![X0,X1,X2]: (X0=create_slb|~strictly_less_than(findmin_pqp_res(X1),lookup_slb(X0,findmin_pqp_res(X1)))|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad))),
% 2.11/0.61 inference(forward_subsumption_resolution,[status(thm)],[f136,f133])).
% 2.11/0.61 fof(f165,plain,(
% 2.11/0.61 ![X0,X1,X2,X3]: (check_cpq(triple(X0,insert_slb(X1,pair(X2,X2)),X3))|~check_cpq(triple(X0,X1,X3)))),
% 2.11/0.61 inference(resolution,[status(thm)],[f50,f103])).
% 2.11/0.61 fof(f167,plain,(
% 2.11/0.61 spl0_0 <=> ~less_than(X0,X0)),
% 2.11/0.61 introduced(split_symbol_definition)).
% 2.11/0.61 fof(f168,plain,(
% 2.11/0.61 ![X0]: (~less_than(X0,X0)|~spl0_0)),
% 2.11/0.61 inference(component_clause,[status(thm)],[f167])).
% 2.11/0.61 fof(f177,plain,(
% 2.11/0.61 $false|~spl0_0),
% 2.11/0.61 inference(forward_subsumption_resolution,[status(thm)],[f168,f50])).
% 2.11/0.61 fof(f178,plain,(
% 2.11/0.61 ~spl0_0),
% 2.11/0.61 inference(contradiction_clause,[status(thm)],[f177])).
% 2.11/0.61 fof(f207,plain,(
% 2.11/0.61 ![X0,X1,X2,X3,X4]: (less_than(X0,X1)|check_cpq(triple(X2,insert_slb(X3,pair(X0,X1)),X4))|~check_cpq(triple(X2,X3,X4)))),
% 2.11/0.61 inference(resolution,[status(thm)],[f49,f103])).
% 2.11/0.61 fof(f217,plain,(
% 2.11/0.61 ![X0,X1]: (strictly_less_than(X0,X1)|less_than(X1,X0))),
% 2.11/0.61 inference(forward_subsumption_resolution,[status(thm)],[f55,f49])).
% 2.11/0.61 fof(f218,plain,(
% 2.11/0.61 ![X0,X1,X2]: (less_than(lookup_slb(X0,findmin_pqp_res(X1)),findmin_pqp_res(X1))|X0=create_slb|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad))),
% 2.11/0.61 inference(resolution,[status(thm)],[f217,f164])).
% 2.11/0.61 fof(f296,plain,(
% 2.11/0.61 ![X0,X1,X2,X3]: (less_than(X0,X1)|check_cpq(triple(X2,insert_slb(create_slb,pair(X0,X1)),X3)))),
% 2.11/0.61 inference(resolution,[status(thm)],[f207,f98])).
% 2.11/0.61 fof(f304,plain,(
% 2.11/0.61 ![X0,X1,X2,X3,X4]: (less_than(X0,X1)|check_cpq(triple(X2,insert_slb(insert_slb(create_slb,pair(X0,X1)),pair(X3,X3)),X4)))),
% 2.11/0.61 inference(resolution,[status(thm)],[f296,f165])).
% 2.11/0.61 fof(f336,plain,(
% 2.11/0.61 ![X0,X1,X2,X3,X4]: (less_than(X0,X1)|~pair_in_list(insert_slb(insert_slb(create_slb,pair(X0,X1)),pair(X2,X2)),X3,X4)|less_than(X4,X3))),
% 2.11/0.61 inference(resolution,[status(thm)],[f304,f150])).
% 2.11/0.61 fof(f360,plain,(
% 2.11/0.61 ![X0,X1,X2,X3]: (X0=create_slb|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad)|X0=create_slb|~contains_slb(X0,findmin_pqp_res(X1))|findmin_cpq_eff(triple(X1,X0,X3))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),X3))),
% 2.11/0.61 inference(resolution,[status(thm)],[f218,f139])).
% 2.11/0.61 fof(f361,plain,(
% 2.11/0.61 ![X0,X1,X2,X3]: (X0=create_slb|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad)|~contains_slb(X0,findmin_pqp_res(X1))|findmin_cpq_eff(triple(X1,X0,X3))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),X3))),
% 2.11/0.61 inference(duplicate_literals_removal,[status(esa)],[f360])).
% 2.11/0.61 fof(f362,plain,(
% 2.11/0.61 ![X0,X1,X2,X3]: (X0=create_slb|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad)|findmin_cpq_eff(triple(X1,X0,X3))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),X3))),
% 2.11/0.61 inference(forward_subsumption_resolution,[status(thm)],[f361,f133])).
% 2.11/0.61 fof(f563,plain,(
% 2.11/0.61 spl0_18 <=> less_than(X0,X1)),
% 2.11/0.61 introduced(split_symbol_definition)).
% 2.11/0.61 fof(f564,plain,(
% 2.11/0.61 ![X0,X1]: (less_than(X0,X1)|~spl0_18)),
% 2.11/0.61 inference(component_clause,[status(thm)],[f563])).
% 2.11/0.61 fof(f572,plain,(
% 2.11/0.61 spl0_20 <=> less_than(X2,X2)),
% 2.11/0.61 introduced(split_symbol_definition)).
% 2.11/0.61 fof(f573,plain,(
% 2.11/0.61 ![X0]: (less_than(X0,X0)|~spl0_20)),
% 2.11/0.61 inference(component_clause,[status(thm)],[f572])).
% 2.11/0.61 fof(f575,plain,(
% 2.11/0.61 ![X0,X1,X2]: (less_than(X0,X1)|less_than(X2,X2))),
% 2.11/0.61 inference(resolution,[status(thm)],[f162,f336])).
% 2.11/0.61 fof(f576,plain,(
% 2.11/0.61 spl0_18|spl0_20),
% 2.11/0.61 inference(split_clause,[status(thm)],[f575,f563,f572])).
% 2.11/0.61 fof(f585,plain,(
% 2.11/0.61 ![X0,X1]: (~strictly_less_than(X0,X1)|~spl0_18)),
% 2.11/0.61 inference(backward_subsumption_resolution,[status(thm)],[f54,f564])).
% 2.11/0.61 fof(f821,plain,(
% 2.11/0.61 ![X0,X1,X2,X3]: (check_cpq(triple(X0,insert_slb(X1,pair(X2,X2)),X3))|~check_cpq(triple(X0,X1,X3))|~spl0_20)),
% 2.11/0.61 inference(resolution,[status(thm)],[f103,f573])).
% 2.11/0.61 fof(f916,plain,(
% 2.11/0.61 ![X0,X1,X2,X3,X4]: (check_cpq(triple(X0,insert_slb(update_slb(X1,findmin_pqp_res(X0)),pair(X2,X2)),bad))|~check_cpq(findmin_cpq_eff(triple(X0,X1,X3)))|X1=create_slb|findmin_cpq_eff(triple(X0,X1,X4))=triple(X0,update_slb(X1,findmin_pqp_res(X0)),X4)|~spl0_20)),
% 2.11/0.61 inference(paramodulation,[status(thm)],[f362,f821])).
% 2.11/0.61 fof(f933,plain,(
% 2.11/0.61 spl0_24 <=> check_cpq(triple(sk0_4,insert_slb(update_slb(sk0_5,findmin_pqp_res(sk0_4)),pair(X0,X0)),bad))),
% 2.11/0.61 introduced(split_symbol_definition)).
% 2.11/0.61 fof(f934,plain,(
% 2.11/0.61 ![X0]: (check_cpq(triple(sk0_4,insert_slb(update_slb(sk0_5,findmin_pqp_res(sk0_4)),pair(X0,X0)),bad))|~spl0_24)),
% 2.11/0.61 inference(component_clause,[status(thm)],[f933])).
% 2.11/0.61 fof(f936,plain,(
% 2.11/0.61 spl0_25 <=> sk0_5=create_slb),
% 2.11/0.61 introduced(split_symbol_definition)).
% 2.11/0.61 fof(f937,plain,(
% 2.11/0.61 sk0_5=create_slb|~spl0_25),
% 2.11/0.61 inference(component_clause,[status(thm)],[f936])).
% 2.11/0.61 fof(f939,plain,(
% 2.11/0.61 spl0_26 <=> findmin_cpq_eff(triple(sk0_4,sk0_5,X1))=triple(sk0_4,update_slb(sk0_5,findmin_pqp_res(sk0_4)),X1)),
% 2.11/0.61 introduced(split_symbol_definition)).
% 2.11/0.61 fof(f940,plain,(
% 2.11/0.61 ![X0]: (findmin_cpq_eff(triple(sk0_4,sk0_5,X0))=triple(sk0_4,update_slb(sk0_5,findmin_pqp_res(sk0_4)),X0)|~spl0_26)),
% 2.11/0.61 inference(component_clause,[status(thm)],[f939])).
% 2.11/0.61 fof(f942,plain,(
% 2.11/0.61 ![X0,X1]: (check_cpq(triple(sk0_4,insert_slb(update_slb(sk0_5,findmin_pqp_res(sk0_4)),pair(X0,X0)),bad))|sk0_5=create_slb|findmin_cpq_eff(triple(sk0_4,sk0_5,X1))=triple(sk0_4,update_slb(sk0_5,findmin_pqp_res(sk0_4)),X1)|~spl0_20)),
% 2.11/0.61 inference(resolution,[status(thm)],[f916,f160])).
% 2.11/0.61 fof(f943,plain,(
% 2.11/0.61 spl0_24|spl0_25|spl0_26|~spl0_20),
% 2.11/0.61 inference(split_clause,[status(thm)],[f942,f933,f936,f939,f572])).
% 2.11/0.61 fof(f1009,plain,(
% 2.11/0.61 ~check_cpq(triple(sk0_4,create_slb,sk0_6))|~spl0_25),
% 2.11/0.61 inference(backward_demodulation,[status(thm)],[f937,f159])).
% 2.11/0.61 fof(f1010,plain,(
% 2.11/0.61 $false|~spl0_25),
% 2.11/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1009,f98])).
% 2.11/0.61 fof(f1011,plain,(
% 2.11/0.61 ~spl0_25),
% 2.11/0.61 inference(contradiction_clause,[status(thm)],[f1010])).
% 2.11/0.61 fof(f1624,plain,(
% 2.11/0.61 spl0_47 <=> check_cpq(triple(sk0_4,update_slb(sk0_5,findmin_pqp_res(sk0_4)),bad))),
% 2.11/0.61 introduced(split_symbol_definition)).
% 2.11/0.61 fof(f1625,plain,(
% 2.11/0.61 check_cpq(triple(sk0_4,update_slb(sk0_5,findmin_pqp_res(sk0_4)),bad))|~spl0_47),
% 2.11/0.61 inference(component_clause,[status(thm)],[f1624])).
% 2.11/0.61 fof(f2312,plain,(
% 2.11/0.61 ![X0,X1]: (~pair_in_list(update_slb(sk0_5,findmin_pqp_res(sk0_4)),X0,X1)|less_than(X1,X0)|~spl0_47)),
% 2.11/0.61 inference(resolution,[status(thm)],[f1625,f150])).
% 2.11/0.61 fof(f2326,plain,(
% 2.11/0.61 spl0_60 <=> ~pair_in_list(update_slb(sk0_5,findmin_pqp_res(sk0_4)),X1,X2)|less_than(X2,X1)),
% 2.11/0.61 introduced(split_symbol_definition)).
% 2.11/0.61 fof(f2327,plain,(
% 2.11/0.61 ![X0,X1]: (~pair_in_list(update_slb(sk0_5,findmin_pqp_res(sk0_4)),X0,X1)|less_than(X1,X0)|~spl0_60)),
% 2.11/0.61 inference(component_clause,[status(thm)],[f2326])).
% 2.11/0.61 fof(f2792,plain,(
% 2.11/0.61 pair_in_list(sk0_5,sk0_0(sk0_5),sk0_1(sk0_5))),
% 2.11/0.61 inference(resolution,[status(thm)],[f151,f159])).
% 2.11/0.61 fof(f3024,plain,(
% 2.11/0.61 spl0_80 <=> strictly_less_than(sk0_0(sk0_5),sk0_1(sk0_5))),
% 2.11/0.61 introduced(split_symbol_definition)).
% 2.11/0.61 fof(f3025,plain,(
% 2.11/0.61 strictly_less_than(sk0_0(sk0_5),sk0_1(sk0_5))|~spl0_80),
% 2.11/0.61 inference(component_clause,[status(thm)],[f3024])).
% 2.11/0.61 fof(f3026,plain,(
% 2.11/0.61 ~strictly_less_than(sk0_0(sk0_5),sk0_1(sk0_5))|spl0_80),
% 2.11/0.61 inference(component_clause,[status(thm)],[f3024])).
% 2.11/0.61 fof(f3027,plain,(
% 2.11/0.61 spl0_81 <=> pair_in_list(update_slb(sk0_5,X0),sk0_2(X0,sk0_5),sk0_3(X0,sk0_5))),
% 2.11/0.61 introduced(split_symbol_definition)).
% 2.11/0.61 fof(f3028,plain,(
% 2.11/0.61 ![X0]: (pair_in_list(update_slb(sk0_5,X0),sk0_2(X0,sk0_5),sk0_3(X0,sk0_5))|~spl0_81)),
% 2.11/0.61 inference(component_clause,[status(thm)],[f3027])).
% 2.11/0.61 fof(f3030,plain,(
% 2.11/0.61 ![X0]: (~strictly_less_than(sk0_0(sk0_5),sk0_1(sk0_5))|pair_in_list(update_slb(sk0_5,X0),sk0_2(X0,sk0_5),sk0_3(X0,sk0_5)))),
% 2.11/0.61 inference(resolution,[status(thm)],[f155,f2792])).
% 2.11/0.61 fof(f3031,plain,(
% 2.11/0.61 ~spl0_80|spl0_81),
% 2.11/0.61 inference(split_clause,[status(thm)],[f3030,f3024,f3027])).
% 2.11/0.61 fof(f3061,plain,(
% 2.11/0.61 spl0_87 <=> strictly_less_than(sk0_2(X0,sk0_5),sk0_3(X0,sk0_5))),
% 2.11/0.61 introduced(split_symbol_definition)).
% 2.11/0.61 fof(f3062,plain,(
% 2.11/0.61 ![X0]: (strictly_less_than(sk0_2(X0,sk0_5),sk0_3(X0,sk0_5))|~spl0_87)),
% 2.11/0.61 inference(component_clause,[status(thm)],[f3061])).
% 2.11/0.61 fof(f3064,plain,(
% 2.11/0.61 ![X0]: (~strictly_less_than(sk0_0(sk0_5),sk0_1(sk0_5))|strictly_less_than(sk0_2(X0,sk0_5),sk0_3(X0,sk0_5)))),
% 2.11/0.61 inference(resolution,[status(thm)],[f156,f2792])).
% 2.11/0.61 fof(f3065,plain,(
% 2.11/0.61 ~spl0_80|spl0_87),
% 2.11/0.61 inference(split_clause,[status(thm)],[f3064,f3024,f3061])).
% 2.11/0.61 fof(f3098,plain,(
% 2.11/0.61 less_than(sk0_1(sk0_5),sk0_0(sk0_5))|spl0_80),
% 2.11/0.61 inference(resolution,[status(thm)],[f3026,f217])).
% 2.11/0.61 fof(f3099,plain,(
% 2.11/0.61 ![X0,X1]: (check_cpq(triple(X0,sk0_5,X1))|spl0_80)),
% 2.11/0.61 inference(resolution,[status(thm)],[f3098,f152])).
% 2.11/0.61 fof(f3103,plain,(
% 2.11/0.61 $false|spl0_80),
% 2.11/0.61 inference(backward_subsumption_resolution,[status(thm)],[f159,f3099])).
% 2.11/0.61 fof(f3104,plain,(
% 2.11/0.61 spl0_80),
% 2.11/0.61 inference(contradiction_clause,[status(thm)],[f3103])).
% 2.11/0.61 fof(f3120,plain,(
% 2.11/0.61 $false|~spl0_18|~spl0_80),
% 2.11/0.61 inference(backward_subsumption_resolution,[status(thm)],[f3025,f585])).
% 2.11/0.61 fof(f3121,plain,(
% 2.11/0.61 ~spl0_18|~spl0_80),
% 2.11/0.61 inference(contradiction_clause,[status(thm)],[f3120])).
% 2.11/0.61 fof(f3172,plain,(
% 2.11/0.61 less_than(sk0_3(findmin_pqp_res(sk0_4),sk0_5),sk0_2(findmin_pqp_res(sk0_4),sk0_5))|~spl0_60|~spl0_81),
% 2.11/0.61 inference(resolution,[status(thm)],[f2327,f3028])).
% 2.11/0.61 fof(f3249,plain,(
% 2.11/0.61 ![X0]: (~less_than(sk0_3(X0,sk0_5),sk0_2(X0,sk0_5))|~spl0_87)),
% 2.11/0.61 inference(resolution,[status(thm)],[f54,f3062])).
% 2.11/0.61 fof(f4425,plain,(
% 2.11/0.61 spl0_157 <=> ~check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,X0)))),
% 2.11/0.62 introduced(split_symbol_definition)).
% 2.11/0.62 fof(f4426,plain,(
% 2.11/0.62 ![X0]: (~check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,X0)))|~spl0_157)),
% 2.11/0.62 inference(component_clause,[status(thm)],[f4425])).
% 2.11/0.62 fof(f4428,plain,(
% 2.11/0.62 ![X0,X1,X2]: (~check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,X0)))|~pair_in_list(update_slb(sk0_5,findmin_pqp_res(sk0_4)),X1,X2)|less_than(X2,X1)|~spl0_26)),
% 2.11/0.62 inference(paramodulation,[status(thm)],[f940,f150])).
% 2.11/0.62 fof(f4429,plain,(
% 2.11/0.62 spl0_157|spl0_60|~spl0_26),
% 2.11/0.62 inference(split_clause,[status(thm)],[f4428,f4425,f2326,f939])).
% 2.11/0.62 fof(f4430,plain,(
% 2.11/0.62 $false|~spl0_157),
% 2.11/0.62 inference(backward_subsumption_resolution,[status(thm)],[f160,f4426])).
% 2.11/0.62 fof(f4431,plain,(
% 2.11/0.62 ~spl0_157),
% 2.11/0.62 inference(contradiction_clause,[status(thm)],[f4430])).
% 2.11/0.62 fof(f4432,plain,(
% 2.11/0.62 $false|~spl0_87|~spl0_60|~spl0_81),
% 2.11/0.62 inference(forward_subsumption_resolution,[status(thm)],[f3172,f3249])).
% 2.11/0.62 fof(f4433,plain,(
% 2.11/0.62 ~spl0_87|~spl0_60|~spl0_81),
% 2.11/0.62 inference(contradiction_clause,[status(thm)],[f4432])).
% 2.11/0.62 fof(f4434,plain,(
% 2.11/0.62 spl0_60|~spl0_47),
% 2.11/0.62 inference(split_clause,[status(thm)],[f2312,f2326,f1624])).
% 2.11/0.62 fof(f4456,plain,(
% 2.11/0.62 spl0_158 <=> pair_in_list(X0,sk0_0(X0),sk0_1(X0))),
% 2.11/0.62 introduced(split_symbol_definition)).
% 2.11/0.62 fof(f4457,plain,(
% 2.11/0.62 ![X0]: (pair_in_list(X0,sk0_0(X0),sk0_1(X0))|~spl0_158)),
% 2.11/0.62 inference(component_clause,[status(thm)],[f4456])).
% 2.11/0.62 fof(f4474,plain,(
% 2.11/0.62 $false|~spl0_158),
% 2.11/0.62 inference(resolution,[status(thm)],[f4457,f65])).
% 2.11/0.62 fof(f4475,plain,(
% 2.11/0.62 ~spl0_158),
% 2.11/0.62 inference(contradiction_clause,[status(thm)],[f4474])).
% 2.11/0.62 fof(f4988,plain,(
% 2.11/0.62 ![X0]: (~less_than(X0,X0)|check_cpq(triple(sk0_4,update_slb(sk0_5,findmin_pqp_res(sk0_4)),bad))|~spl0_24)),
% 2.11/0.62 inference(resolution,[status(thm)],[f934,f102])).
% 2.11/0.62 fof(f4989,plain,(
% 2.11/0.62 spl0_0|spl0_47|~spl0_24),
% 2.11/0.62 inference(split_clause,[status(thm)],[f4988,f167,f1624,f933])).
% 2.11/0.62 fof(f4996,plain,(
% 2.11/0.62 $false),
% 2.11/0.62 inference(sat_refutation,[status(thm)],[f178,f576,f943,f1011,f3031,f3065,f3104,f3121,f4429,f4431,f4433,f4434,f4475,f4989])).
% 2.11/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 2.32/0.63 % Elapsed time: 0.316997 seconds
% 2.32/0.63 % CPU time: 2.383775 seconds
% 2.32/0.63 % Total memory used: 117.852 MB
% 2.32/0.63 % Net memory used: 115.354 MB
%------------------------------------------------------------------------------