TSTP Solution File: SWV398+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n007.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 : Wed May 31 12:41:34 EDT 2023
% Result : Theorem 2.92s 0.77s
% Output : CNFRefutation 3.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV398+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:29:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 2.92/0.77 % Refutation found
% 2.92/0.77 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.92/0.77 % SZS output start CNFRefutation for theBenchmark
% 2.92/0.77 fof(f1,axiom,(
% 2.92/0.77 (! [U,V,W] :( ( less_than(U,V)& less_than(V,W) )=> less_than(U,W) ) )),
% 2.92/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.92/0.77 fof(f2,axiom,(
% 2.92/0.77 (! [U,V] :( less_than(U,V)| less_than(V,U) ) )),
% 2.92/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.92/0.77 fof(f3,axiom,(
% 2.92/0.77 (! [U] : less_than(U,U) )),
% 2.92/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.92/0.77 fof(f4,axiom,(
% 2.92/0.77 (! [U,V] :( strictly_less_than(U,V)<=> ( less_than(U,V)& ~ less_than(V,U) ) ) )),
% 2.92/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.92/0.77 fof(f5,axiom,(
% 2.92/0.77 (! [U] : less_than(bottom,U) )),
% 2.92/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.92/0.77 fof(f11,axiom,(
% 2.92/0.77 (! [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 ) ) ) )),
% 2.92/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.92/0.77 fof(f24,axiom,(
% 2.92/0.77 (! [U,V] : check_cpq(triple(U,create_slb,V)) )),
% 2.92/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.92/0.77 fof(f25,axiom,(
% 2.92/0.77 (! [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)) ) ) )),
% 2.92/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.92/0.77 fof(f26,axiom,(
% 2.92/0.77 (! [U,V,W,X,Y] :( strictly_less_than(X,Y)=> ( check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))<=> $false ) ) )),
% 2.92/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.92/0.77 fof(f35,axiom,(
% 2.92/0.77 (! [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) ) )),
% 2.92/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.92/0.77 fof(f36,axiom,(
% 2.92/0.77 (! [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) ) )),
% 2.92/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.92/0.77 fof(f37,axiom,(
% 2.92/0.77 (! [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) ) )),
% 2.92/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.92/0.77 fof(f42,lemma,(
% 2.92/0.77 (! [U,V,W] :( check_cpq(triple(U,V,W))<=> (! [X,Y] :( pair_in_list(V,X,Y)=> less_than(Y,X) ) )) )),
% 2.92/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.92/0.77 fof(f43,lemma,(
% 2.92/0.77 (! [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) ) ))) )),
% 2.92/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.92/0.77 fof(f44,conjecture,(
% 2.92/0.77 (! [U,V,W] :( ~ check_cpq(triple(U,V,W))=> ~ check_cpq(findmin_cpq_eff(triple(U,V,W))) ) )),
% 2.92/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.92/0.77 fof(f45,negated_conjecture,(
% 2.92/0.77 ~((! [U,V,W] :( ~ check_cpq(triple(U,V,W))=> ~ check_cpq(findmin_cpq_eff(triple(U,V,W))) ) ))),
% 2.92/0.77 inference(negated_conjecture,[status(cth)],[f44])).
% 2.92/0.77 fof(f46,plain,(
% 2.92/0.77 ![U,V,W]: ((~less_than(U,V)|~less_than(V,W))|less_than(U,W))),
% 2.92/0.77 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 2.92/0.77 fof(f47,plain,(
% 2.92/0.77 ![U,W]: ((![V]: (~less_than(U,V)|~less_than(V,W)))|less_than(U,W))),
% 2.92/0.77 inference(miniscoping,[status(esa)],[f46])).
% 2.92/0.77 fof(f48,plain,(
% 2.92/0.77 ![X0,X1,X2]: (~less_than(X0,X1)|~less_than(X1,X2)|less_than(X0,X2))),
% 2.92/0.77 inference(cnf_transformation,[status(esa)],[f47])).
% 2.92/0.77 fof(f49,plain,(
% 2.92/0.77 ![X0,X1]: (less_than(X0,X1)|less_than(X1,X0))),
% 2.92/0.77 inference(cnf_transformation,[status(esa)],[f2])).
% 2.92/0.77 fof(f50,plain,(
% 2.92/0.77 ![X0]: (less_than(X0,X0))),
% 2.92/0.77 inference(cnf_transformation,[status(esa)],[f3])).
% 2.92/0.77 fof(f51,plain,(
% 2.92/0.77 ![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))))),
% 2.92/0.77 inference(NNF_transformation,[status(esa)],[f4])).
% 2.92/0.77 fof(f52,plain,(
% 2.92/0.77 (![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))))),
% 3.19/0.77 inference(miniscoping,[status(esa)],[f51])).
% 3.19/0.77 fof(f54,plain,(
% 3.19/0.77 ![X0,X1]: (~strictly_less_than(X0,X1)|~less_than(X1,X0))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f52])).
% 3.19/0.77 fof(f55,plain,(
% 3.19/0.77 ![X0,X1]: (strictly_less_than(X0,X1)|~less_than(X0,X1)|less_than(X1,X0))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f52])).
% 3.19/0.77 fof(f56,plain,(
% 3.19/0.77 ![X0]: (less_than(bottom,X0))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f5])).
% 3.19/0.77 fof(f66,plain,(
% 3.19/0.77 ![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))))),
% 3.19/0.77 inference(NNF_transformation,[status(esa)],[f11])).
% 3.19/0.77 fof(f67,plain,(
% 3.19/0.77 (![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))))),
% 3.19/0.77 inference(miniscoping,[status(esa)],[f66])).
% 3.19/0.77 fof(f70,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|~pair_in_list(X0,X3,X4))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f67])).
% 3.19/0.77 fof(f71,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|~X1=X3|~X2=X4)),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f67])).
% 3.19/0.77 fof(f98,plain,(
% 3.19/0.77 ![X0,X1]: (check_cpq(triple(X0,create_slb,X1)))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f24])).
% 3.19/0.77 fof(f99,plain,(
% 3.19/0.77 ![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))))),
% 3.19/0.77 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 3.19/0.77 fof(f100,plain,(
% 3.19/0.77 ![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)))))),
% 3.19/0.77 inference(NNF_transformation,[status(esa)],[f99])).
% 3.19/0.77 fof(f101,plain,(
% 3.19/0.77 ![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))))))),
% 3.19/0.77 inference(miniscoping,[status(esa)],[f100])).
% 3.19/0.77 fof(f102,plain,(
% 3.19/0.77 ![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)))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f101])).
% 3.19/0.77 fof(f103,plain,(
% 3.19/0.77 ![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)))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f101])).
% 3.19/0.77 fof(f104,plain,(
% 3.19/0.77 ![U,V,W,X,Y]: (~strictly_less_than(X,Y)|(check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))<=>$false))),
% 3.19/0.77 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 3.19/0.77 fof(f105,plain,(
% 3.19/0.77 ![U,V,W,X,Y]: (~strictly_less_than(X,Y)|((~check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))|$false)&(check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))|$true)))),
% 3.19/0.77 inference(NNF_transformation,[status(esa)],[f104])).
% 3.19/0.77 fof(f106,plain,(
% 3.19/0.77 ![X,Y]: (~strictly_less_than(X,Y)|(((![U,V,W]: ~check_cpq(triple(U,insert_slb(V,pair(X,Y)),W)))|$false)&((![U,V,W]: check_cpq(triple(U,insert_slb(V,pair(X,Y)),W)))|$true)))),
% 3.19/0.77 inference(miniscoping,[status(esa)],[f105])).
% 3.19/0.77 fof(f107,plain,(
% 3.19/0.77 ![X,Y]: (~strictly_less_than(X,Y)|(![U,V,W]: ~check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))))),
% 3.19/0.77 inference($true_and_$false_simplification,[status(esa)],[f106])).
% 3.19/0.77 fof(f108,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4]: (~strictly_less_than(X0,X1)|~check_cpq(triple(X2,insert_slb(X3,pair(X0,X1)),X4)))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f107])).
% 3.19/0.77 fof(f131,plain,(
% 3.19/0.77 ![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))),
% 3.19/0.77 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 3.19/0.77 fof(f132,plain,(
% 3.19/0.77 ![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)))),
% 3.19/0.77 inference(miniscoping,[status(esa)],[f131])).
% 3.19/0.77 fof(f133,plain,(
% 3.19/0.77 ![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))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f132])).
% 3.19/0.77 fof(f134,plain,(
% 3.19/0.77 ![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))),
% 3.19/0.77 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 3.19/0.77 fof(f135,plain,(
% 3.19/0.77 ![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)))),
% 3.19/0.77 inference(miniscoping,[status(esa)],[f134])).
% 3.19/0.77 fof(f136,plain,(
% 3.19/0.77 ![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))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f135])).
% 3.19/0.77 fof(f137,plain,(
% 3.19/0.77 ![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))),
% 3.19/0.77 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 3.19/0.77 fof(f138,plain,(
% 3.19/0.77 ![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)))),
% 3.19/0.77 inference(miniscoping,[status(esa)],[f137])).
% 3.19/0.77 fof(f139,plain,(
% 3.19/0.77 ![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))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f138])).
% 3.19/0.77 fof(f146,plain,(
% 3.19/0.77 ![U,V,W]: (check_cpq(triple(U,V,W))<=>(![X,Y]: (~pair_in_list(V,X,Y)|less_than(Y,X))))),
% 3.19/0.77 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 3.19/0.77 fof(f147,plain,(
% 3.19/0.77 ![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)))))),
% 3.19/0.77 inference(NNF_transformation,[status(esa)],[f146])).
% 3.19/0.77 fof(f148,plain,(
% 3.19/0.77 (![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)))))),
% 3.19/0.77 inference(miniscoping,[status(esa)],[f147])).
% 3.19/0.77 fof(f149,plain,(
% 3.19/0.77 (![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)))))),
% 3.19/0.77 inference(skolemization,[status(esa)],[f148])).
% 3.19/0.77 fof(f150,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4]: (~check_cpq(triple(X0,X1,X2))|~pair_in_list(X1,X3,X4)|less_than(X4,X3))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f149])).
% 3.19/0.77 fof(f151,plain,(
% 3.19/0.77 ![X0,X1,X2]: (check_cpq(triple(X0,X1,X2))|pair_in_list(X1,sk0_0(X1),sk0_1(X1)))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f149])).
% 3.19/0.77 fof(f152,plain,(
% 3.19/0.77 ![X0,X1,X2]: (check_cpq(triple(X0,X1,X2))|~less_than(sk0_1(X1),sk0_0(X1)))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f149])).
% 3.19/0.77 fof(f153,plain,(
% 3.19/0.77 ![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))))),
% 3.19/0.77 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 3.19/0.77 fof(f154,plain,(
% 3.19/0.77 ![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)))))),
% 3.19/0.77 inference(skolemization,[status(esa)],[f153])).
% 3.19/0.77 fof(f155,plain,(
% 3.19/0.77 ![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)))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f154])).
% 3.19/0.77 fof(f156,plain,(
% 3.19/0.77 ![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)))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f154])).
% 3.19/0.77 fof(f157,plain,(
% 3.19/0.77 (?[U,V,W]: (~check_cpq(triple(U,V,W))&check_cpq(findmin_cpq_eff(triple(U,V,W)))))),
% 3.19/0.77 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 3.19/0.77 fof(f158,plain,(
% 3.19/0.77 (~check_cpq(triple(sk0_4,sk0_5,sk0_6))&check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,sk0_6))))),
% 3.19/0.77 inference(skolemization,[status(esa)],[f157])).
% 3.19/0.77 fof(f159,plain,(
% 3.19/0.77 ~check_cpq(triple(sk0_4,sk0_5,sk0_6))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f158])).
% 3.19/0.77 fof(f160,plain,(
% 3.19/0.77 check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,sk0_6)))),
% 3.19/0.77 inference(cnf_transformation,[status(esa)],[f158])).
% 3.19/0.77 fof(f162,plain,(
% 3.19/0.77 ![X0,X1,X2]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X1,X2))),
% 3.19/0.77 inference(destructive_equality_resolution,[status(esa)],[f71])).
% 3.19/0.77 fof(f164,plain,(
% 3.19/0.77 ![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))),
% 3.19/0.77 inference(forward_subsumption_resolution,[status(thm)],[f136,f133])).
% 3.19/0.77 fof(f165,plain,(
% 3.19/0.77 ![X0,X1,X2,X3]: (check_cpq(triple(X0,insert_slb(X1,pair(X2,X2)),X3))|~check_cpq(triple(X0,X1,X3)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f50,f103])).
% 3.19/0.77 fof(f166,plain,(
% 3.19/0.77 ![X0,X1,X2]: (check_cpq(triple(X0,insert_slb(create_slb,pair(X1,X1)),X2)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f165,f98])).
% 3.19/0.77 fof(f167,plain,(
% 3.19/0.77 spl0_0 <=> ~less_than(X0,X0)),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f168,plain,(
% 3.19/0.77 ![X0]: (~less_than(X0,X0)|~spl0_0)),
% 3.19/0.77 inference(component_clause,[status(thm)],[f167])).
% 3.19/0.77 fof(f170,plain,(
% 3.19/0.77 spl0_1 <=> check_cpq(triple(X1,create_slb,X2))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f173,plain,(
% 3.19/0.77 ![X0,X1,X2]: (~less_than(X0,X0)|check_cpq(triple(X1,create_slb,X2)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f166,f102])).
% 3.19/0.77 fof(f174,plain,(
% 3.19/0.77 spl0_0|spl0_1),
% 3.19/0.77 inference(split_clause,[status(thm)],[f173,f167,f170])).
% 3.19/0.77 fof(f175,plain,(
% 3.19/0.77 ![X0,X1,X2,X3]: (check_cpq(triple(X0,insert_slb(insert_slb(create_slb,pair(X1,X1)),pair(X2,X2)),X3)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f166,f165])).
% 3.19/0.77 fof(f176,plain,(
% 3.19/0.77 $false|~spl0_0),
% 3.19/0.77 inference(forward_subsumption_resolution,[status(thm)],[f168,f50])).
% 3.19/0.77 fof(f177,plain,(
% 3.19/0.77 ~spl0_0),
% 3.19/0.77 inference(contradiction_clause,[status(thm)],[f176])).
% 3.19/0.77 fof(f178,plain,(
% 3.19/0.77 spl0_2 <=> check_cpq(triple(X1,insert_slb(create_slb,pair(X2,X2)),X3))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f181,plain,(
% 3.19/0.77 ![X0,X1,X2,X3]: (~less_than(X0,X0)|check_cpq(triple(X1,insert_slb(create_slb,pair(X2,X2)),X3)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f175,f102])).
% 3.19/0.77 fof(f182,plain,(
% 3.19/0.77 spl0_0|spl0_2),
% 3.19/0.77 inference(split_clause,[status(thm)],[f181,f167,f178])).
% 3.19/0.77 fof(f183,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4]: (check_cpq(triple(X0,insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X1)),pair(X2,X2)),pair(X3,X3)),X4)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f175,f165])).
% 3.19/0.77 fof(f184,plain,(
% 3.19/0.77 spl0_3 <=> check_cpq(triple(X1,insert_slb(insert_slb(create_slb,pair(X2,X2)),pair(X3,X3)),X4))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f187,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4]: (~less_than(X0,X0)|check_cpq(triple(X1,insert_slb(insert_slb(create_slb,pair(X2,X2)),pair(X3,X3)),X4)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f183,f102])).
% 3.19/0.77 fof(f188,plain,(
% 3.19/0.77 spl0_0|spl0_3),
% 3.19/0.77 inference(split_clause,[status(thm)],[f187,f167,f184])).
% 3.19/0.77 fof(f189,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4,X5]: (check_cpq(triple(X0,insert_slb(insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X1)),pair(X2,X2)),pair(X3,X3)),pair(X4,X4)),X5)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f183,f165])).
% 3.19/0.77 fof(f190,plain,(
% 3.19/0.77 spl0_4 <=> check_cpq(triple(X1,insert_slb(insert_slb(insert_slb(create_slb,pair(X2,X2)),pair(X3,X3)),pair(X4,X4)),X5))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f193,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4,X5]: (~less_than(X0,X0)|check_cpq(triple(X1,insert_slb(insert_slb(insert_slb(create_slb,pair(X2,X2)),pair(X3,X3)),pair(X4,X4)),X5)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f189,f102])).
% 3.19/0.77 fof(f194,plain,(
% 3.19/0.77 spl0_0|spl0_4),
% 3.19/0.77 inference(split_clause,[status(thm)],[f193,f167,f190])).
% 3.19/0.77 fof(f195,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4,X5,X6]: (check_cpq(triple(X0,insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X1)),pair(X2,X2)),pair(X3,X3)),pair(X4,X4)),pair(X5,X5)),X6)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f189,f165])).
% 3.19/0.77 fof(f196,plain,(
% 3.19/0.77 ![X0,X1,X2,X3]: (check_cpq(triple(X0,insert_slb(X1,pair(X2,bottom)),X3))|~check_cpq(triple(X0,X1,X3)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f56,f103])).
% 3.19/0.77 fof(f205,plain,(
% 3.19/0.77 ![X0,X1,X2]: (less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))|X1=create_slb|~contains_slb(X1,findmin_pqp_res(X0))|findmin_cpq_eff(triple(X0,X1,X2))=triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2))),
% 3.19/0.77 inference(resolution,[status(thm)],[f49,f139])).
% 3.19/0.77 fof(f207,plain,(
% 3.19/0.77 ![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)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f49,f103])).
% 3.19/0.77 fof(f212,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4,X5]: (~less_than(X0,X1)|~less_than(X1,X2)|check_cpq(triple(X3,insert_slb(X4,pair(X2,X0)),X5))|~check_cpq(triple(X3,X4,X5)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f48,f103])).
% 3.19/0.77 fof(f213,plain,(
% 3.19/0.77 ![X0,X1]: (strictly_less_than(X0,X1)|less_than(X1,X0))),
% 3.19/0.77 inference(forward_subsumption_resolution,[status(thm)],[f55,f49])).
% 3.19/0.77 fof(f214,plain,(
% 3.19/0.77 ![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))),
% 3.19/0.77 inference(resolution,[status(thm)],[f213,f164])).
% 3.19/0.77 fof(f217,plain,(
% 3.19/0.77 spl0_7 <=> ~check_cpq(triple(X0,X1,X2))|check_cpq(triple(X0,X1,X2))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f225,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4]: (~check_cpq(triple(X0,X1,X2))|check_cpq(triple(X0,insert_slb(insert_slb(X1,pair(X3,bottom)),pair(X4,X4)),X2)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f196,f165])).
% 3.19/0.77 fof(f231,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4,X5]: (less_than(X0,X1)|~check_cpq(triple(X2,X3,X4))|check_cpq(triple(X2,insert_slb(insert_slb(X3,pair(X0,X1)),pair(X5,X5)),X4)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f207,f165])).
% 3.19/0.77 fof(f232,plain,(
% 3.19/0.77 spl0_10 <=> ~check_cpq(triple(X0,X1,X2))|check_cpq(triple(X0,insert_slb(X1,pair(X4,bottom)),X2))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f235,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4]: (~check_cpq(triple(X0,X1,X2))|~less_than(X3,X3)|check_cpq(triple(X0,insert_slb(X1,pair(X4,bottom)),X2)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f225,f102])).
% 3.19/0.77 fof(f236,plain,(
% 3.19/0.77 spl0_10|spl0_0),
% 3.19/0.77 inference(split_clause,[status(thm)],[f235,f232,f167])).
% 3.19/0.77 fof(f237,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4,X5]: (~check_cpq(triple(X0,X1,X2))|check_cpq(triple(X0,insert_slb(insert_slb(insert_slb(X1,pair(X3,bottom)),pair(X4,X4)),pair(X5,X5)),X2)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f225,f165])).
% 3.19/0.77 fof(f243,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4,X5,X6]: (~less_than(X0,X1)|~less_than(X1,X2)|~check_cpq(triple(X3,X4,X5))|check_cpq(triple(X3,insert_slb(insert_slb(X4,pair(X2,X0)),pair(X6,X6)),X5)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f212,f165])).
% 3.19/0.77 fof(f244,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4,X5]: (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)),X2)|check_cpq(triple(X3,insert_slb(X4,pair(lookup_slb(X0,findmin_pqp_res(X1)),findmin_pqp_res(X1))),X5))|~check_cpq(triple(X3,X4,X5)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f205,f103])).
% 3.19/0.77 fof(f245,plain,(
% 3.19/0.77 spl0_12 <=> less_than(X0,X1)|~check_cpq(triple(X2,X3,X4))|check_cpq(triple(X2,insert_slb(X3,pair(X0,X1)),X4))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f248,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4,X5]: (less_than(X0,X1)|~check_cpq(triple(X2,X3,X4))|~less_than(X5,X5)|check_cpq(triple(X2,insert_slb(X3,pair(X0,X1)),X4)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f231,f102])).
% 3.19/0.77 fof(f249,plain,(
% 3.19/0.77 spl0_12|spl0_0),
% 3.19/0.77 inference(split_clause,[status(thm)],[f248,f245,f167])).
% 3.19/0.77 fof(f250,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4,X5,X6]: (less_than(X0,X1)|~check_cpq(triple(X2,X3,X4))|check_cpq(triple(X2,insert_slb(insert_slb(insert_slb(X3,pair(X0,X1)),pair(X5,X5)),pair(X6,X6)),X4)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f231,f165])).
% 3.19/0.77 fof(f251,plain,(
% 3.19/0.77 ![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))),
% 3.19/0.77 inference(resolution,[status(thm)],[f214,f139])).
% 3.19/0.77 fof(f252,plain,(
% 3.19/0.77 ![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))),
% 3.19/0.77 inference(duplicate_literals_removal,[status(esa)],[f251])).
% 3.19/0.77 fof(f253,plain,(
% 3.19/0.77 ![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))),
% 3.19/0.77 inference(forward_subsumption_resolution,[status(thm)],[f252,f133])).
% 3.19/0.77 fof(f254,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4,X5]: (X0=create_slb|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad)|check_cpq(triple(X3,insert_slb(X4,pair(findmin_pqp_res(X1),lookup_slb(X0,findmin_pqp_res(X1)))),X5))|~check_cpq(triple(X3,X4,X5)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f214,f103])).
% 3.19/0.77 fof(f255,plain,(
% 3.19/0.77 spl0_13 <=> ~check_cpq(triple(X0,X1,X2))|check_cpq(triple(X0,insert_slb(insert_slb(X1,pair(X4,bottom)),pair(X5,X5)),X2))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f258,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4,X5]: (~check_cpq(triple(X0,X1,X2))|~less_than(X3,X3)|check_cpq(triple(X0,insert_slb(insert_slb(X1,pair(X4,bottom)),pair(X5,X5)),X2)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f237,f102])).
% 3.19/0.77 fof(f259,plain,(
% 3.19/0.77 spl0_13|spl0_0),
% 3.19/0.77 inference(split_clause,[status(thm)],[f258,f255,f167])).
% 3.19/0.77 fof(f260,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4,X5,X6]: (~check_cpq(triple(X0,X1,X2))|check_cpq(triple(X0,insert_slb(insert_slb(insert_slb(insert_slb(X1,pair(X3,bottom)),pair(X4,X4)),pair(X5,X5)),pair(X6,X6)),X2)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f237,f165])).
% 3.19/0.77 fof(f261,plain,(
% 3.19/0.77 spl0_14 <=> ~less_than(X0,X1)|~less_than(X1,X2)|~check_cpq(triple(X3,X4,X5))|check_cpq(triple(X3,insert_slb(X4,pair(X2,X0)),X5))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f264,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4,X5,X6]: (~less_than(X0,X1)|~less_than(X1,X2)|~check_cpq(triple(X3,X4,X5))|~less_than(X6,X6)|check_cpq(triple(X3,insert_slb(X4,pair(X2,X0)),X5)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f243,f102])).
% 3.19/0.77 fof(f265,plain,(
% 3.19/0.77 spl0_14|spl0_0),
% 3.19/0.77 inference(split_clause,[status(thm)],[f264,f261,f167])).
% 3.19/0.77 fof(f267,plain,(
% 3.19/0.77 spl0_15 <=> less_than(X0,X1)|~check_cpq(triple(X2,X3,X4))|check_cpq(triple(X2,insert_slb(insert_slb(X3,pair(X0,X1)),pair(X6,X6)),X4))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f270,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4,X5,X6]: (less_than(X0,X1)|~check_cpq(triple(X2,X3,X4))|~less_than(X5,X5)|check_cpq(triple(X2,insert_slb(insert_slb(X3,pair(X0,X1)),pair(X6,X6)),X4)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f250,f102])).
% 3.19/0.77 fof(f271,plain,(
% 3.19/0.77 spl0_15|spl0_0),
% 3.19/0.77 inference(split_clause,[status(thm)],[f270,f267,f167])).
% 3.19/0.77 fof(f273,plain,(
% 3.19/0.77 spl0_16 <=> check_cpq(triple(X1,insert_slb(insert_slb(insert_slb(insert_slb(create_slb,pair(X2,X2)),pair(X3,X3)),pair(X4,X4)),pair(X5,X5)),X6))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f276,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4,X5,X6]: (~less_than(X0,X0)|check_cpq(triple(X1,insert_slb(insert_slb(insert_slb(insert_slb(create_slb,pair(X2,X2)),pair(X3,X3)),pair(X4,X4)),pair(X5,X5)),X6)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f195,f102])).
% 3.19/0.77 fof(f277,plain,(
% 3.19/0.77 spl0_0|spl0_16),
% 3.19/0.77 inference(split_clause,[status(thm)],[f276,f167,f273])).
% 3.19/0.77 fof(f311,plain,(
% 3.19/0.77 ![X0,X1]: (X0=create_slb|findmin_cpq_eff(triple(X1,X0,bad))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad))),
% 3.19/0.77 inference(factoring,[status(esa)],[f253])).
% 3.19/0.77 fof(f312,plain,(
% 3.19/0.77 ![X0,X1,X2,X3]: (X0=create_slb|findmin_cpq_eff(triple(X1,X0,bad))=findmin_cpq_eff(triple(X1,X0,X2))|X0=create_slb|findmin_cpq_eff(triple(X1,X0,X3))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),X3))),
% 3.19/0.77 inference(paramodulation,[status(thm)],[f253,f311])).
% 3.19/0.77 fof(f313,plain,(
% 3.19/0.77 ![X0,X1,X2,X3]: (X0=create_slb|findmin_cpq_eff(triple(X1,X0,bad))=findmin_cpq_eff(triple(X1,X0,X2))|findmin_cpq_eff(triple(X1,X0,X3))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),X3))),
% 3.19/0.77 inference(duplicate_literals_removal,[status(esa)],[f312])).
% 3.19/0.77 fof(f322,plain,(
% 3.19/0.77 ![X0,X1,X2]: (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,bad)))|X1=create_slb)),
% 3.19/0.77 inference(paramodulation,[status(thm)],[f311,f165])).
% 3.19/0.77 fof(f336,plain,(
% 3.19/0.77 spl0_22 <=> ~check_cpq(findmin_cpq_eff(triple(X0,X1,bad)))|X1=create_slb|check_cpq(triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f339,plain,(
% 3.19/0.77 ![X0,X1,X2]: (~check_cpq(findmin_cpq_eff(triple(X0,X1,bad)))|X1=create_slb|~less_than(X2,X2)|check_cpq(triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f322,f102])).
% 3.19/0.77 fof(f340,plain,(
% 3.19/0.77 spl0_22|spl0_0),
% 3.19/0.77 inference(split_clause,[status(thm)],[f339,f336,f167])).
% 3.19/0.77 fof(f341,plain,(
% 3.19/0.77 ![X0,X1,X2,X3]: (~check_cpq(findmin_cpq_eff(triple(X0,X1,bad)))|X1=create_slb|check_cpq(triple(X0,insert_slb(insert_slb(update_slb(X1,findmin_pqp_res(X0)),pair(X2,X2)),pair(X3,X3)),bad)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f322,f165])).
% 3.19/0.77 fof(f484,plain,(
% 3.19/0.77 spl0_36 <=> check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,bad)))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f485,plain,(
% 3.19/0.77 check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,bad)))|~spl0_36),
% 3.19/0.77 inference(component_clause,[status(thm)],[f484])).
% 3.19/0.77 fof(f487,plain,(
% 3.19/0.77 spl0_37 <=> sk0_5=create_slb),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f488,plain,(
% 3.19/0.77 sk0_5=create_slb|~spl0_37),
% 3.19/0.77 inference(component_clause,[status(thm)],[f487])).
% 3.19/0.77 fof(f490,plain,(
% 3.19/0.77 spl0_38 <=> findmin_cpq_eff(triple(sk0_4,sk0_5,X0))=triple(sk0_4,update_slb(sk0_5,findmin_pqp_res(sk0_4)),X0)),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f491,plain,(
% 3.19/0.77 ![X0]: (findmin_cpq_eff(triple(sk0_4,sk0_5,X0))=triple(sk0_4,update_slb(sk0_5,findmin_pqp_res(sk0_4)),X0)|~spl0_38)),
% 3.19/0.77 inference(component_clause,[status(thm)],[f490])).
% 3.19/0.77 fof(f493,plain,(
% 3.19/0.77 ![X0]: (check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,bad)))|sk0_5=create_slb|findmin_cpq_eff(triple(sk0_4,sk0_5,X0))=triple(sk0_4,update_slb(sk0_5,findmin_pqp_res(sk0_4)),X0))),
% 3.19/0.77 inference(paramodulation,[status(thm)],[f313,f160])).
% 3.19/0.77 fof(f494,plain,(
% 3.19/0.77 spl0_36|spl0_37|spl0_38),
% 3.19/0.77 inference(split_clause,[status(thm)],[f493,f484,f487,f490])).
% 3.19/0.77 fof(f592,plain,(
% 3.19/0.77 spl0_44 <=> ~check_cpq(findmin_cpq_eff(triple(X0,X1,bad)))|X1=create_slb|check_cpq(triple(X0,insert_slb(update_slb(X1,findmin_pqp_res(X0)),pair(X3,X3)),bad))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f595,plain,(
% 3.19/0.77 ![X0,X1,X2,X3]: (~check_cpq(findmin_cpq_eff(triple(X0,X1,bad)))|X1=create_slb|~less_than(X2,X2)|check_cpq(triple(X0,insert_slb(update_slb(X1,findmin_pqp_res(X0)),pair(X3,X3)),bad)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f341,f102])).
% 3.19/0.77 fof(f596,plain,(
% 3.19/0.77 spl0_44|spl0_0),
% 3.19/0.77 inference(split_clause,[status(thm)],[f595,f592,f167])).
% 3.19/0.77 fof(f613,plain,(
% 3.19/0.77 spl0_47 <=> ~check_cpq(triple(X0,X1,X2))|check_cpq(triple(X0,insert_slb(insert_slb(insert_slb(X1,pair(X4,bottom)),pair(X5,X5)),pair(X6,X6)),X2))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f616,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4,X5,X6]: (~check_cpq(triple(X0,X1,X2))|~less_than(X3,X3)|check_cpq(triple(X0,insert_slb(insert_slb(insert_slb(X1,pair(X4,bottom)),pair(X5,X5)),pair(X6,X6)),X2)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f260,f102])).
% 3.19/0.77 fof(f617,plain,(
% 3.19/0.77 spl0_47|spl0_0),
% 3.19/0.77 inference(split_clause,[status(thm)],[f616,f613,f167])).
% 3.19/0.77 fof(f716,plain,(
% 3.19/0.77 ![X0,X1,X2]: (check_cpq(triple(X0,X1,X2))|less_than(sk0_0(X1),sk0_1(X1)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f152,f49])).
% 3.19/0.77 fof(f718,plain,(
% 3.19/0.77 less_than(sk0_0(sk0_5),sk0_1(sk0_5))),
% 3.19/0.77 inference(resolution,[status(thm)],[f716,f159])).
% 3.19/0.77 fof(f751,plain,(
% 3.19/0.77 ![X0,X1,X2]: (check_cpq(triple(X0,insert_slb(X1,pair(sk0_1(sk0_5),sk0_0(sk0_5))),X2))|~check_cpq(triple(X0,X1,X2)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f718,f103])).
% 3.19/0.77 fof(f753,plain,(
% 3.19/0.77 ![X0,X1,X2,X3,X4]: (~check_cpq(triple(X0,insert_slb(X1,pair(X2,X3)),X4))|less_than(X3,X2))),
% 3.19/0.77 inference(resolution,[status(thm)],[f162,f150])).
% 3.19/0.77 fof(f812,plain,(
% 3.19/0.77 spl0_63 <=> update_slb(sk0_5,findmin_pqp_res(sk0_4))=create_slb),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f813,plain,(
% 3.19/0.77 update_slb(sk0_5,findmin_pqp_res(sk0_4))=create_slb|~spl0_63),
% 3.19/0.77 inference(component_clause,[status(thm)],[f812])).
% 3.19/0.77 fof(f896,plain,(
% 3.19/0.77 spl0_84 <=> check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,X0)))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f897,plain,(
% 3.19/0.77 ![X0]: (check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,X0)))|~spl0_84)),
% 3.19/0.77 inference(component_clause,[status(thm)],[f896])).
% 3.19/0.77 fof(f972,plain,(
% 3.19/0.77 ~check_cpq(triple(sk0_4,create_slb,sk0_6))|~spl0_37),
% 3.19/0.77 inference(backward_demodulation,[status(thm)],[f488,f159])).
% 3.19/0.77 fof(f973,plain,(
% 3.19/0.77 $false|~spl0_37),
% 3.19/0.77 inference(forward_subsumption_resolution,[status(thm)],[f972,f98])).
% 3.19/0.77 fof(f974,plain,(
% 3.19/0.77 ~spl0_37),
% 3.19/0.77 inference(contradiction_clause,[status(thm)],[f973])).
% 3.19/0.77 fof(f1019,plain,(
% 3.19/0.77 ![X0,X1]: (check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,X0)))|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_36)),
% 3.19/0.77 inference(paramodulation,[status(thm)],[f313,f485])).
% 3.19/0.77 fof(f1020,plain,(
% 3.19/0.77 spl0_84|spl0_37|spl0_38|~spl0_36),
% 3.19/0.77 inference(split_clause,[status(thm)],[f1019,f896,f487,f490,f484])).
% 3.19/0.77 fof(f1027,plain,(
% 3.19/0.77 spl0_106 <=> check_cpq(triple(sk0_4,update_slb(sk0_5,findmin_pqp_res(sk0_4)),bad))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f1028,plain,(
% 3.19/0.77 check_cpq(triple(sk0_4,update_slb(sk0_5,findmin_pqp_res(sk0_4)),bad))|~spl0_106),
% 3.19/0.77 inference(component_clause,[status(thm)],[f1027])).
% 3.19/0.77 fof(f1029,plain,(
% 3.19/0.77 ~check_cpq(triple(sk0_4,update_slb(sk0_5,findmin_pqp_res(sk0_4)),bad))|spl0_106),
% 3.19/0.77 inference(component_clause,[status(thm)],[f1027])).
% 3.19/0.77 fof(f1030,plain,(
% 3.19/0.77 ![X0]: (check_cpq(triple(sk0_4,update_slb(sk0_5,findmin_pqp_res(sk0_4)),bad))|sk0_5=create_slb|findmin_cpq_eff(triple(sk0_4,sk0_5,X0))=triple(sk0_4,update_slb(sk0_5,findmin_pqp_res(sk0_4)),X0)|~spl0_84)),
% 3.19/0.77 inference(paramodulation,[status(thm)],[f253,f897])).
% 3.19/0.77 fof(f1031,plain,(
% 3.19/0.77 spl0_106|spl0_37|spl0_38|~spl0_84),
% 3.19/0.77 inference(split_clause,[status(thm)],[f1030,f1027,f487,f490,f896])).
% 3.19/0.77 fof(f1075,plain,(
% 3.19/0.77 spl0_109 <=> ~check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,X0)))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f1076,plain,(
% 3.19/0.77 ![X0]: (~check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,X0)))|~spl0_109)),
% 3.19/0.77 inference(component_clause,[status(thm)],[f1075])).
% 3.19/0.77 fof(f1098,plain,(
% 3.19/0.77 ~check_cpq(triple(sk0_4,create_slb,bad))|~spl0_63|spl0_106),
% 3.19/0.77 inference(forward_demodulation,[status(thm)],[f813,f1029])).
% 3.19/0.77 fof(f1099,plain,(
% 3.19/0.77 $false|~spl0_63|spl0_106),
% 3.19/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1098,f98])).
% 3.19/0.77 fof(f1100,plain,(
% 3.19/0.77 ~spl0_63|spl0_106),
% 3.19/0.77 inference(contradiction_clause,[status(thm)],[f1099])).
% 3.19/0.77 fof(f1236,plain,(
% 3.19/0.77 ~check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,bad)))|~spl0_38|spl0_106),
% 3.19/0.77 inference(forward_demodulation,[status(thm)],[f491,f1029])).
% 3.19/0.77 fof(f1237,plain,(
% 3.19/0.77 $false|~spl0_84|~spl0_38|spl0_106),
% 3.19/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1236,f897])).
% 3.19/0.77 fof(f1238,plain,(
% 3.19/0.77 ~spl0_84|~spl0_38|spl0_106),
% 3.19/0.77 inference(contradiction_clause,[status(thm)],[f1237])).
% 3.19/0.77 fof(f1347,plain,(
% 3.19/0.77 spl0_129 <=> less_than(sk0_0(sk0_5),sk0_1(sk0_5))),
% 3.19/0.77 introduced(split_symbol_definition)).
% 3.19/0.77 fof(f1349,plain,(
% 3.19/0.77 ~less_than(sk0_0(sk0_5),sk0_1(sk0_5))|spl0_129),
% 3.19/0.77 inference(component_clause,[status(thm)],[f1347])).
% 3.19/0.77 fof(f1350,plain,(
% 3.19/0.77 ![X0,X1,X2]: (~check_cpq(triple(X0,X1,X2))|~less_than(sk0_0(sk0_5),sk0_1(sk0_5))|check_cpq(triple(X0,X1,X2)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f751,f102])).
% 3.19/0.77 fof(f1351,plain,(
% 3.19/0.77 spl0_7|~spl0_129),
% 3.19/0.77 inference(split_clause,[status(thm)],[f1350,f217,f1347])).
% 3.19/0.77 fof(f1352,plain,(
% 3.19/0.77 ![X0,X1,X2,X3]: (~check_cpq(triple(X0,X1,X2))|check_cpq(triple(X0,insert_slb(insert_slb(X1,pair(sk0_1(sk0_5),sk0_0(sk0_5))),pair(X3,X3)),X2)))),
% 3.19/0.77 inference(resolution,[status(thm)],[f751,f165])).
% 3.19/0.77 fof(f1353,plain,(
% 3.19/0.77 $false|spl0_129),
% 3.19/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1349,f718])).
% 3.19/0.77 fof(f1354,plain,(
% 3.19/0.77 spl0_129),
% 3.19/0.77 inference(contradiction_clause,[status(thm)],[f1353])).
% 3.19/0.77 fof(f1355,plain,(
% 3.19/0.77 spl0_130 <=> ~check_cpq(triple(X0,X1,X2))|check_cpq(triple(X0,insert_slb(X1,pair(sk0_1(sk0_5),sk0_0(sk0_5))),X2))),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f1358,plain,(
% 3.19/0.78 ![X0,X1,X2,X3]: (~check_cpq(triple(X0,X1,X2))|~less_than(X3,X3)|check_cpq(triple(X0,insert_slb(X1,pair(sk0_1(sk0_5),sk0_0(sk0_5))),X2)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f1352,f102])).
% 3.19/0.78 fof(f1359,plain,(
% 3.19/0.78 spl0_130|spl0_0),
% 3.19/0.78 inference(split_clause,[status(thm)],[f1358,f1355,f167])).
% 3.19/0.78 fof(f1374,plain,(
% 3.19/0.78 spl0_132 <=> less_than(X0,X0)),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f1386,plain,(
% 3.19/0.78 spl0_134 <=> ~check_cpq(triple(X1,X2,X3))),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f1387,plain,(
% 3.19/0.78 ![X0,X1,X2]: (~check_cpq(triple(X0,X1,X2))|~spl0_134)),
% 3.19/0.78 inference(component_clause,[status(thm)],[f1386])).
% 3.19/0.78 fof(f1389,plain,(
% 3.19/0.78 ![X0,X1,X2,X3]: (less_than(X0,X0)|~check_cpq(triple(X1,X2,X3)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f753,f260])).
% 3.19/0.78 fof(f1390,plain,(
% 3.19/0.78 spl0_132|spl0_134),
% 3.19/0.78 inference(split_clause,[status(thm)],[f1389,f1374,f1386])).
% 3.19/0.78 fof(f1414,plain,(
% 3.19/0.78 spl0_137 <=> 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)),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f1417,plain,(
% 3.19/0.78 ![X0,X1,X2,X3,X4,X5]: (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)|~check_cpq(triple(X3,X4,X5)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f753,f254])).
% 3.19/0.78 fof(f1418,plain,(
% 3.19/0.78 spl0_137|spl0_134),
% 3.19/0.78 inference(split_clause,[status(thm)],[f1417,f1414,f1386])).
% 3.19/0.78 fof(f1419,plain,(
% 3.19/0.78 spl0_138 <=> less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))|X1=create_slb|~contains_slb(X1,findmin_pqp_res(X0))|findmin_cpq_eff(triple(X0,X1,X2))=triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f1422,plain,(
% 3.19/0.78 ![X0,X1,X2,X3,X4,X5]: (less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))|X1=create_slb|~contains_slb(X1,findmin_pqp_res(X0))|findmin_cpq_eff(triple(X0,X1,X2))=triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)|~check_cpq(triple(X3,X4,X5)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f753,f244])).
% 3.19/0.78 fof(f1423,plain,(
% 3.19/0.78 spl0_138|spl0_134),
% 3.19/0.78 inference(split_clause,[status(thm)],[f1422,f1419,f1386])).
% 3.19/0.78 fof(f1424,plain,(
% 3.19/0.78 spl0_139 <=> less_than(bottom,X0)),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f1427,plain,(
% 3.19/0.78 ![X0,X1,X2,X3]: (less_than(bottom,X0)|~check_cpq(triple(X1,X2,X3)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f753,f196])).
% 3.19/0.78 fof(f1428,plain,(
% 3.19/0.78 spl0_139|spl0_134),
% 3.19/0.78 inference(split_clause,[status(thm)],[f1427,f1424,f1386])).
% 3.19/0.78 fof(f1429,plain,(
% 3.19/0.78 spl0_140 <=> less_than(X0,X1)|~less_than(X0,X2)|~less_than(X2,X1)),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f1432,plain,(
% 3.19/0.78 ![X0,X1,X2,X3,X4,X5]: (less_than(X0,X1)|~less_than(X0,X2)|~less_than(X2,X1)|~check_cpq(triple(X3,X4,X5)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f753,f212])).
% 3.19/0.78 fof(f1433,plain,(
% 3.19/0.78 spl0_140|spl0_134),
% 3.19/0.78 inference(split_clause,[status(thm)],[f1432,f1429,f1386])).
% 3.19/0.78 fof(f1434,plain,(
% 3.19/0.78 spl0_141 <=> less_than(X0,X1)|less_than(X1,X0)),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f1437,plain,(
% 3.19/0.78 ![X0,X1,X2,X3,X4]: (less_than(X0,X1)|less_than(X1,X0)|~check_cpq(triple(X2,X3,X4)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f753,f207])).
% 3.19/0.78 fof(f1438,plain,(
% 3.19/0.78 spl0_141|spl0_134),
% 3.19/0.78 inference(split_clause,[status(thm)],[f1437,f1434,f1386])).
% 3.19/0.78 fof(f1523,plain,(
% 3.19/0.78 pair_in_list(sk0_5,sk0_0(sk0_5),sk0_1(sk0_5))),
% 3.19/0.78 inference(resolution,[status(thm)],[f151,f159])).
% 3.19/0.78 fof(f1531,plain,(
% 3.19/0.78 ![X0,X1,X2,X3]: (check_cpq(triple(X0,X1,X2))|~strictly_less_than(sk0_0(X1),sk0_1(X1))|strictly_less_than(sk0_2(X3,X1),sk0_3(X3,X1)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f151,f156])).
% 3.19/0.78 fof(f1532,plain,(
% 3.19/0.78 ![X0,X1,X2,X3,X4]: (check_cpq(triple(X0,X1,X2))|~check_cpq(triple(X3,X1,X4))|less_than(sk0_1(X1),sk0_0(X1)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f151,f150])).
% 3.19/0.78 fof(f1533,plain,(
% 3.19/0.78 ![X0,X1,X2,X3,X4]: (check_cpq(triple(X0,X1,X2))|~check_cpq(triple(X3,X1,X4)))),
% 3.19/0.78 inference(forward_subsumption_resolution,[status(thm)],[f1532,f152])).
% 3.19/0.78 fof(f1538,plain,(
% 3.19/0.78 ![X0,X1,X2,X3]: (check_cpq(triple(X0,X1,X2))|strictly_less_than(sk0_2(X3,X1),sk0_3(X3,X1))|less_than(sk0_1(X1),sk0_0(X1)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f1531,f213])).
% 3.19/0.78 fof(f1539,plain,(
% 3.19/0.78 ![X0,X1,X2,X3]: (check_cpq(triple(X0,X1,X2))|strictly_less_than(sk0_2(X3,X1),sk0_3(X3,X1)))),
% 3.19/0.78 inference(forward_subsumption_resolution,[status(thm)],[f1538,f152])).
% 3.19/0.78 fof(f1540,plain,(
% 3.19/0.78 ![X0]: (strictly_less_than(sk0_2(X0,sk0_5),sk0_3(X0,sk0_5)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f1539,f159])).
% 3.19/0.78 fof(f1550,plain,(
% 3.19/0.78 ![X0]: (~less_than(sk0_3(X0,sk0_5),sk0_2(X0,sk0_5)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f1540,f54])).
% 3.19/0.78 fof(f1565,plain,(
% 3.19/0.78 ![X0,X1]: (pair_in_list(insert_slb(sk0_5,pair(X0,X1)),sk0_0(sk0_5),sk0_1(sk0_5)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f1523,f70])).
% 3.19/0.78 fof(f1566,plain,(
% 3.19/0.78 spl0_147 <=> strictly_less_than(sk0_0(sk0_5),sk0_1(sk0_5))),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f1568,plain,(
% 3.19/0.78 ~strictly_less_than(sk0_0(sk0_5),sk0_1(sk0_5))|spl0_147),
% 3.19/0.78 inference(component_clause,[status(thm)],[f1566])).
% 3.19/0.78 fof(f1569,plain,(
% 3.19/0.78 spl0_148 <=> strictly_less_than(sk0_2(X0,sk0_5),sk0_3(X0,sk0_5))),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f1572,plain,(
% 3.19/0.78 ![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)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f1523,f156])).
% 3.19/0.78 fof(f1573,plain,(
% 3.19/0.78 ~spl0_147|spl0_148),
% 3.19/0.78 inference(split_clause,[status(thm)],[f1572,f1566,f1569])).
% 3.19/0.78 fof(f1574,plain,(
% 3.19/0.78 spl0_149 <=> ~check_cpq(triple(X0,sk0_5,X1))),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f1575,plain,(
% 3.19/0.78 ![X0,X1]: (~check_cpq(triple(X0,sk0_5,X1))|~spl0_149)),
% 3.19/0.78 inference(component_clause,[status(thm)],[f1574])).
% 3.19/0.78 fof(f1577,plain,(
% 3.19/0.78 spl0_150 <=> less_than(sk0_1(sk0_5),sk0_0(sk0_5))),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f1578,plain,(
% 3.19/0.78 less_than(sk0_1(sk0_5),sk0_0(sk0_5))|~spl0_150),
% 3.19/0.78 inference(component_clause,[status(thm)],[f1577])).
% 3.19/0.78 fof(f1580,plain,(
% 3.19/0.78 ![X0,X1]: (~check_cpq(triple(X0,sk0_5,X1))|less_than(sk0_1(sk0_5),sk0_0(sk0_5)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f1523,f150])).
% 3.19/0.78 fof(f1581,plain,(
% 3.19/0.78 spl0_149|spl0_150),
% 3.19/0.78 inference(split_clause,[status(thm)],[f1580,f1574,f1577])).
% 3.19/0.78 fof(f1582,plain,(
% 3.19/0.78 ![X0,X1]: (~check_cpq(triple(X0,sk0_5,X1)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f1533,f159])).
% 3.19/0.78 fof(f1585,plain,(
% 3.19/0.78 ![X0,X1,X2,X3,X4,X5]: (~check_cpq(triple(X0,X1,X2))|check_cpq(triple(X3,insert_slb(X1,pair(X4,X4)),X5)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f1533,f165])).
% 3.19/0.78 fof(f1614,plain,(
% 3.19/0.78 less_than(sk0_1(sk0_5),sk0_0(sk0_5))|spl0_147),
% 3.19/0.78 inference(resolution,[status(thm)],[f1568,f213])).
% 3.19/0.78 fof(f1615,plain,(
% 3.19/0.78 ![X0,X1]: (check_cpq(triple(X0,sk0_5,X1))|spl0_147)),
% 3.19/0.78 inference(resolution,[status(thm)],[f1614,f152])).
% 3.19/0.78 fof(f1616,plain,(
% 3.19/0.78 $false|~spl0_149|spl0_147),
% 3.19/0.78 inference(forward_subsumption_resolution,[status(thm)],[f1615,f1575])).
% 3.19/0.78 fof(f1617,plain,(
% 3.19/0.78 ~spl0_149|spl0_147),
% 3.19/0.78 inference(contradiction_clause,[status(thm)],[f1616])).
% 3.19/0.78 fof(f1618,plain,(
% 3.19/0.78 ![X0,X1]: (check_cpq(triple(X0,sk0_5,X1))|~spl0_150)),
% 3.19/0.78 inference(resolution,[status(thm)],[f1578,f152])).
% 3.19/0.78 fof(f1640,plain,(
% 3.19/0.78 $false|~spl0_134),
% 3.19/0.78 inference(backward_subsumption_resolution,[status(thm)],[f195,f1387])).
% 3.19/0.78 fof(f1641,plain,(
% 3.19/0.78 ~spl0_134),
% 3.19/0.78 inference(contradiction_clause,[status(thm)],[f1640])).
% 3.19/0.78 fof(f1760,plain,(
% 3.19/0.78 $false|~spl0_150),
% 3.19/0.78 inference(forward_subsumption_resolution,[status(thm)],[f1582,f1618])).
% 3.19/0.78 fof(f1761,plain,(
% 3.19/0.78 ~spl0_150),
% 3.19/0.78 inference(contradiction_clause,[status(thm)],[f1760])).
% 3.19/0.78 fof(f1782,plain,(
% 3.19/0.78 spl0_159 <=> strictly_less_than(sk0_2(X0,insert_slb(sk0_5,pair(X1,X2))),sk0_3(X0,insert_slb(sk0_5,pair(X1,X2))))),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f1785,plain,(
% 3.19/0.78 ![X0,X1,X2]: (~strictly_less_than(sk0_0(sk0_5),sk0_1(sk0_5))|strictly_less_than(sk0_2(X0,insert_slb(sk0_5,pair(X1,X2))),sk0_3(X0,insert_slb(sk0_5,pair(X1,X2)))))),
% 3.19/0.78 inference(resolution,[status(thm)],[f1565,f156])).
% 3.19/0.78 fof(f1786,plain,(
% 3.19/0.78 ~spl0_147|spl0_159),
% 3.19/0.78 inference(split_clause,[status(thm)],[f1785,f1566,f1782])).
% 3.19/0.78 fof(f1795,plain,(
% 3.19/0.78 spl0_160 <=> check_cpq(triple(X0,update_slb(sk0_5,findmin_pqp_res(sk0_4)),X1))),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f1796,plain,(
% 3.19/0.78 ![X0,X1]: (check_cpq(triple(X0,update_slb(sk0_5,findmin_pqp_res(sk0_4)),X1))|~spl0_160)),
% 3.19/0.78 inference(component_clause,[status(thm)],[f1795])).
% 3.19/0.78 fof(f1798,plain,(
% 3.19/0.78 ![X0,X1,X2]: (check_cpq(triple(X0,update_slb(sk0_5,findmin_pqp_res(sk0_4)),X1))|~check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,X2)))|~spl0_38)),
% 3.19/0.78 inference(paramodulation,[status(thm)],[f491,f1533])).
% 3.19/0.78 fof(f1799,plain,(
% 3.19/0.78 spl0_160|spl0_109|~spl0_38),
% 3.19/0.78 inference(split_clause,[status(thm)],[f1798,f1795,f1075,f490])).
% 3.19/0.78 fof(f1840,plain,(
% 3.19/0.78 ![X0,X1,X2,X3]: (strictly_less_than(sk0_2(X0,X1),sk0_3(X0,X1))|~pair_in_list(X1,X2,X3)|less_than(X3,X2))),
% 3.19/0.78 inference(resolution,[status(thm)],[f1539,f150])).
% 3.19/0.78 fof(f1851,plain,(
% 3.19/0.78 ![X0,X1,X2,X3]: (~pair_in_list(X0,X1,X2)|less_than(X2,X1)|~less_than(sk0_3(X3,X0),sk0_2(X3,X0)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f1840,f54])).
% 3.19/0.78 fof(f1853,plain,(
% 3.19/0.78 ![X0,X1,X2,X3,X4]: (~pair_in_list(X0,X1,X2)|less_than(X2,X1)|~less_than(sk0_3(X3,X0),X4)|~less_than(X4,sk0_2(X3,X0)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f1851,f48])).
% 3.19/0.78 fof(f1856,plain,(
% 3.19/0.78 spl0_164 <=> ~less_than(sk0_3(X0,sk0_5),X1)|~less_than(X1,sk0_2(X0,sk0_5))),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f1859,plain,(
% 3.19/0.78 ![X0,X1]: (less_than(sk0_1(sk0_5),sk0_0(sk0_5))|~less_than(sk0_3(X0,sk0_5),X1)|~less_than(X1,sk0_2(X0,sk0_5)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f1853,f1523])).
% 3.19/0.78 fof(f1860,plain,(
% 3.19/0.78 spl0_150|spl0_164),
% 3.19/0.78 inference(split_clause,[status(thm)],[f1859,f1577,f1856])).
% 3.19/0.78 fof(f1861,plain,(
% 3.19/0.78 spl0_165 <=> ~less_than(sk0_3(X0,insert_slb(sk0_5,pair(X1,X2))),X3)|~less_than(X3,sk0_2(X0,insert_slb(sk0_5,pair(X1,X2))))),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f1864,plain,(
% 3.19/0.78 ![X0,X1,X2,X3]: (less_than(sk0_1(sk0_5),sk0_0(sk0_5))|~less_than(sk0_3(X0,insert_slb(sk0_5,pair(X1,X2))),X3)|~less_than(X3,sk0_2(X0,insert_slb(sk0_5,pair(X1,X2)))))),
% 3.19/0.78 inference(resolution,[status(thm)],[f1853,f1565])).
% 3.19/0.78 fof(f1865,plain,(
% 3.19/0.78 spl0_150|spl0_165),
% 3.19/0.78 inference(split_clause,[status(thm)],[f1864,f1577,f1861])).
% 3.19/0.78 fof(f1920,plain,(
% 3.19/0.78 $false|~spl0_109),
% 3.19/0.78 inference(backward_subsumption_resolution,[status(thm)],[f160,f1076])).
% 3.19/0.78 fof(f1921,plain,(
% 3.19/0.78 ~spl0_109),
% 3.19/0.78 inference(contradiction_clause,[status(thm)],[f1920])).
% 3.19/0.78 fof(f1936,plain,(
% 3.19/0.78 ![X0]: (check_cpq(findmin_cpq_eff(triple(sk0_4,sk0_5,X0)))|~spl0_160|~spl0_38)),
% 3.19/0.78 inference(paramodulation,[status(thm)],[f491,f1796])).
% 3.19/0.78 fof(f1937,plain,(
% 3.19/0.78 spl0_84|~spl0_160|~spl0_38),
% 3.19/0.78 inference(split_clause,[status(thm)],[f1936,f896,f1795,f490])).
% 3.19/0.78 fof(f1942,plain,(
% 3.19/0.78 ![X0,X1]: (~pair_in_list(update_slb(sk0_5,findmin_pqp_res(sk0_4)),X0,X1)|less_than(X1,X0)|~spl0_106)),
% 3.19/0.78 inference(resolution,[status(thm)],[f1028,f150])).
% 3.19/0.78 fof(f1985,plain,(
% 3.19/0.78 spl0_166 <=> strictly_less_than(sk0_1(sk0_5),sk0_0(sk0_5))),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f1988,plain,(
% 3.19/0.78 ![X0,X1,X2]: (~check_cpq(triple(X0,X1,X2))|~strictly_less_than(sk0_1(sk0_5),sk0_0(sk0_5)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f751,f108])).
% 3.19/0.78 fof(f1989,plain,(
% 3.19/0.78 spl0_134|~spl0_166),
% 3.19/0.78 inference(split_clause,[status(thm)],[f1988,f1386,f1985])).
% 3.19/0.78 fof(f2023,plain,(
% 3.19/0.78 spl0_168 <=> ~strictly_less_than(X3,X3)),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f2026,plain,(
% 3.19/0.78 ![X0,X1,X2,X3]: (~check_cpq(triple(X0,X1,X2))|~strictly_less_than(X3,X3))),
% 3.19/0.78 inference(resolution,[status(thm)],[f1585,f108])).
% 3.19/0.78 fof(f2027,plain,(
% 3.19/0.78 spl0_134|spl0_168),
% 3.19/0.78 inference(split_clause,[status(thm)],[f2026,f1386,f2023])).
% 3.19/0.78 fof(f2091,plain,(
% 3.19/0.78 spl0_170 <=> pair_in_list(update_slb(sk0_5,X0),sk0_2(X0,sk0_5),sk0_3(X0,sk0_5))),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f2092,plain,(
% 3.19/0.78 ![X0]: (pair_in_list(update_slb(sk0_5,X0),sk0_2(X0,sk0_5),sk0_3(X0,sk0_5))|~spl0_170)),
% 3.19/0.78 inference(component_clause,[status(thm)],[f2091])).
% 3.19/0.78 fof(f2094,plain,(
% 3.19/0.78 ![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)))),
% 3.19/0.78 inference(resolution,[status(thm)],[f155,f1523])).
% 3.19/0.78 fof(f2095,plain,(
% 3.19/0.78 ~spl0_147|spl0_170),
% 3.19/0.78 inference(split_clause,[status(thm)],[f2094,f1566,f2091])).
% 3.19/0.78 fof(f2097,plain,(
% 3.19/0.78 spl0_171 <=> pair_in_list(update_slb(insert_slb(sk0_5,pair(X0,X1)),X2),sk0_2(X2,insert_slb(sk0_5,pair(X0,X1))),sk0_3(X2,insert_slb(sk0_5,pair(X0,X1))))),
% 3.19/0.78 introduced(split_symbol_definition)).
% 3.19/0.78 fof(f2100,plain,(
% 3.19/0.78 ![X0,X1,X2]: (~strictly_less_than(sk0_0(sk0_5),sk0_1(sk0_5))|pair_in_list(update_slb(insert_slb(sk0_5,pair(X0,X1)),X2),sk0_2(X2,insert_slb(sk0_5,pair(X0,X1))),sk0_3(X2,insert_slb(sk0_5,pair(X0,X1)))))),
% 3.19/0.78 inference(resolution,[status(thm)],[f155,f1565])).
% 3.19/0.78 fof(f2101,plain,(
% 3.19/0.78 ~spl0_147|spl0_171),
% 3.19/0.78 inference(split_clause,[status(thm)],[f2100,f1566,f2097])).
% 3.19/0.78 fof(f2112,plain,(
% 3.19/0.78 less_than(sk0_3(findmin_pqp_res(sk0_4),sk0_5),sk0_2(findmin_pqp_res(sk0_4),sk0_5))|~spl0_170|~spl0_106),
% 3.19/0.78 inference(resolution,[status(thm)],[f2092,f1942])).
% 3.19/0.78 fof(f2113,plain,(
% 3.19/0.78 $false|~spl0_170|~spl0_106),
% 3.19/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2112,f1550])).
% 3.19/0.78 fof(f2114,plain,(
% 3.19/0.78 ~spl0_170|~spl0_106),
% 3.19/0.78 inference(contradiction_clause,[status(thm)],[f2113])).
% 3.19/0.78 fof(f2115,plain,(
% 3.19/0.78 $false),
% 3.19/0.78 inference(sat_refutation,[status(thm)],[f174,f177,f182,f188,f194,f236,f249,f259,f265,f271,f277,f340,f494,f596,f617,f974,f1020,f1031,f1100,f1238,f1351,f1354,f1359,f1390,f1418,f1423,f1428,f1433,f1438,f1573,f1581,f1617,f1641,f1761,f1786,f1799,f1860,f1865,f1921,f1937,f1989,f2027,f2095,f2101,f2114])).
% 3.19/0.78 % SZS output end CNFRefutation for theBenchmark.p
% 3.19/0.80 % Elapsed time: 0.441237 seconds
% 3.19/0.80 % CPU time: 3.331597 seconds
% 3.19/0.80 % Memory used: 114.732 MB
%------------------------------------------------------------------------------