TSTP Solution File: SWV407+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV407+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:46:57 EDT 2024
% Result : Theorem 5.66s 1.15s
% Output : CNFRefutation 5.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV407+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:37:19 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 5.66/1.15 % Refutation found
% 5.66/1.15 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.66/1.15 % SZS output start CNFRefutation for theBenchmark
% 5.66/1.15 fof(f1,axiom,(
% 5.66/1.15 (! [U,V,W] :( ( less_than(U,V)& less_than(V,W) )=> less_than(U,W) ) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f2,axiom,(
% 5.66/1.15 (! [U,V] :( less_than(U,V)| less_than(V,U) ) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f3,axiom,(
% 5.66/1.15 (! [U] : less_than(U,U) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f4,axiom,(
% 5.66/1.15 (! [U,V] :( strictly_less_than(U,V)<=> ( less_than(U,V)& ~ less_than(V,U) ) ) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f8,axiom,(
% 5.66/1.15 (! [U] : ~ contains_slb(create_slb,U) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f9,axiom,(
% 5.66/1.15 (! [U,V,W,X] :( contains_slb(insert_slb(U,pair(V,X)),W)<=> ( contains_slb(U,W)| V = W ) ) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f11,axiom,(
% 5.66/1.15 (! [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 ) ) ) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f16,axiom,(
% 5.66/1.15 (! [U] : update_slb(create_slb,U) = create_slb )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f17,axiom,(
% 5.66/1.15 (! [U,V,W,X] :( strictly_less_than(X,W)=> update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,W)) ) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f18,axiom,(
% 5.66/1.15 (! [U,V,W,X] :( less_than(W,X)=> update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,X)) ) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f24,axiom,(
% 5.66/1.15 (! [U,V] : check_cpq(triple(U,create_slb,V)) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f25,axiom,(
% 5.66/1.15 (! [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)) ) ) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f26,axiom,(
% 5.66/1.15 (! [U,V,W,X,Y] :( strictly_less_than(X,Y)=> ( check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))<=> $false ) ) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f27,axiom,(
% 5.66/1.15 (! [U,V,W,X] :( contains_cpq(triple(U,V,W),X)<=> contains_slb(V,X) ) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f35,axiom,(
% 5.66/1.15 (! [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) ) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f36,axiom,(
% 5.66/1.15 (! [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) ) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f37,axiom,(
% 5.66/1.15 (! [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) ) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f39,axiom,(
% 5.66/1.15 (! [U,V,W,X] :( V != create_slb=> findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U) ) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f42,lemma,(
% 5.66/1.15 (! [U,V,W] :( check_cpq(triple(U,V,W))<=> (! [X,Y] :( pair_in_list(V,X,Y)=> less_than(Y,X) ) )) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f43,lemma,(
% 5.66/1.15 (! [U,V,W,X] :( ( contains_slb(V,X)& strictly_less_than(X,findmin_cpq_res(triple(U,V,W))) )=> ( pair_in_list(update_slb(V,findmin_pqp_res(U)),X,findmin_pqp_res(U))| (? [Y] :( pair_in_list(update_slb(V,findmin_pqp_res(U)),X,Y)& less_than(findmin_pqp_res(U),Y) ) )) ) )),
% 5.66/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.15 fof(f44,conjecture,(
% 5.66/1.15 (! [U,V,W] :( (? [X] :( contains_cpq(triple(U,V,W),X)& strictly_less_than(X,findmin_cpq_res(triple(U,V,W))) ))=> ~ check_cpq(findmin_cpq_eff(triple(U,V,W))) ) )),
% 5.66/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.66/1.16 fof(f45,negated_conjecture,(
% 5.66/1.16 ~((! [U,V,W] :( (? [X] :( contains_cpq(triple(U,V,W),X)& strictly_less_than(X,findmin_cpq_res(triple(U,V,W))) ))=> ~ check_cpq(findmin_cpq_eff(triple(U,V,W))) ) ))),
% 5.66/1.16 inference(negated_conjecture,[status(cth)],[f44])).
% 5.66/1.16 fof(f46,plain,(
% 5.66/1.16 ![U,V,W]: ((~less_than(U,V)|~less_than(V,W))|less_than(U,W))),
% 5.66/1.16 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 5.66/1.16 fof(f47,plain,(
% 5.66/1.16 ![U,W]: ((![V]: (~less_than(U,V)|~less_than(V,W)))|less_than(U,W))),
% 5.66/1.16 inference(miniscoping,[status(esa)],[f46])).
% 5.66/1.16 fof(f48,plain,(
% 5.66/1.16 ![X0,X1,X2]: (~less_than(X0,X1)|~less_than(X1,X2)|less_than(X0,X2))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f47])).
% 5.66/1.16 fof(f49,plain,(
% 5.66/1.16 ![X0,X1]: (less_than(X0,X1)|less_than(X1,X0))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f2])).
% 5.66/1.16 fof(f50,plain,(
% 5.66/1.16 ![X0]: (less_than(X0,X0))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f3])).
% 5.66/1.16 fof(f51,plain,(
% 5.66/1.16 ![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))))),
% 5.66/1.16 inference(NNF_transformation,[status(esa)],[f4])).
% 5.66/1.16 fof(f52,plain,(
% 5.66/1.16 (![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))))),
% 5.66/1.16 inference(miniscoping,[status(esa)],[f51])).
% 5.66/1.16 fof(f53,plain,(
% 5.66/1.16 ![X0,X1]: (~strictly_less_than(X0,X1)|less_than(X0,X1))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f52])).
% 5.66/1.16 fof(f54,plain,(
% 5.66/1.16 ![X0,X1]: (~strictly_less_than(X0,X1)|~less_than(X1,X0))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f52])).
% 5.66/1.16 fof(f55,plain,(
% 5.66/1.16 ![X0,X1]: (strictly_less_than(X0,X1)|~less_than(X0,X1)|less_than(X1,X0))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f52])).
% 5.66/1.16 fof(f59,plain,(
% 5.66/1.16 ![X0]: (~contains_slb(create_slb,X0))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f8])).
% 5.66/1.16 fof(f60,plain,(
% 5.66/1.16 ![U,V,W,X]: ((~contains_slb(insert_slb(U,pair(V,X)),W)|(contains_slb(U,W)|V=W))&(contains_slb(insert_slb(U,pair(V,X)),W)|(~contains_slb(U,W)&~V=W)))),
% 5.66/1.16 inference(NNF_transformation,[status(esa)],[f9])).
% 5.66/1.16 fof(f61,plain,(
% 5.66/1.16 (![U,V,W]: ((![X]: ~contains_slb(insert_slb(U,pair(V,X)),W))|(contains_slb(U,W)|V=W)))&(![U,V,W]: ((![X]: contains_slb(insert_slb(U,pair(V,X)),W))|(~contains_slb(U,W)&~V=W)))),
% 5.66/1.16 inference(miniscoping,[status(esa)],[f60])).
% 5.66/1.16 fof(f62,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (~contains_slb(insert_slb(X0,pair(X1,X2)),X3)|contains_slb(X0,X3)|X1=X3)),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f61])).
% 5.66/1.16 fof(f63,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (contains_slb(insert_slb(X0,pair(X1,X2)),X3)|~contains_slb(X0,X3))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f61])).
% 5.66/1.16 fof(f66,plain,(
% 5.66/1.16 ![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))))),
% 5.66/1.16 inference(NNF_transformation,[status(esa)],[f11])).
% 5.66/1.16 fof(f67,plain,(
% 5.66/1.16 (![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))))),
% 5.66/1.16 inference(miniscoping,[status(esa)],[f66])).
% 5.66/1.16 fof(f71,plain,(
% 5.66/1.16 ![X0,X1,X2,X3,X4]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|~X1=X3|~X2=X4)),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f67])).
% 5.66/1.16 fof(f80,plain,(
% 5.66/1.16 ![X0]: (update_slb(create_slb,X0)=create_slb)),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f16])).
% 5.66/1.16 fof(f81,plain,(
% 5.66/1.16 ![U,V,W,X]: (~strictly_less_than(X,W)|update_slb(insert_slb(U,pair(V,X)),W)=insert_slb(update_slb(U,W),pair(V,W)))),
% 5.66/1.16 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 5.66/1.16 fof(f82,plain,(
% 5.66/1.16 ![W,X]: (~strictly_less_than(X,W)|(![U,V]: update_slb(insert_slb(U,pair(V,X)),W)=insert_slb(update_slb(U,W),pair(V,W))))),
% 5.66/1.16 inference(miniscoping,[status(esa)],[f81])).
% 5.66/1.16 fof(f83,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (~strictly_less_than(X0,X1)|update_slb(insert_slb(X2,pair(X3,X0)),X1)=insert_slb(update_slb(X2,X1),pair(X3,X1)))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f82])).
% 5.66/1.16 fof(f84,plain,(
% 5.66/1.16 ![U,V,W,X]: (~less_than(W,X)|update_slb(insert_slb(U,pair(V,X)),W)=insert_slb(update_slb(U,W),pair(V,X)))),
% 5.66/1.16 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 5.66/1.16 fof(f85,plain,(
% 5.66/1.16 ![W,X]: (~less_than(W,X)|(![U,V]: update_slb(insert_slb(U,pair(V,X)),W)=insert_slb(update_slb(U,W),pair(V,X))))),
% 5.66/1.16 inference(miniscoping,[status(esa)],[f84])).
% 5.66/1.16 fof(f86,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (~less_than(X0,X1)|update_slb(insert_slb(X2,pair(X3,X1)),X0)=insert_slb(update_slb(X2,X0),pair(X3,X1)))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f85])).
% 5.66/1.16 fof(f98,plain,(
% 5.66/1.16 ![X0,X1]: (check_cpq(triple(X0,create_slb,X1)))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f24])).
% 5.66/1.16 fof(f99,plain,(
% 5.66/1.16 ![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))))),
% 5.66/1.16 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 5.66/1.16 fof(f100,plain,(
% 5.66/1.16 ![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)))))),
% 5.66/1.16 inference(NNF_transformation,[status(esa)],[f99])).
% 5.66/1.16 fof(f101,plain,(
% 5.66/1.16 ![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))))))),
% 5.66/1.16 inference(miniscoping,[status(esa)],[f100])).
% 5.66/1.16 fof(f102,plain,(
% 5.66/1.16 ![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)))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f101])).
% 5.66/1.16 fof(f103,plain,(
% 5.66/1.16 ![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)))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f101])).
% 5.66/1.16 fof(f104,plain,(
% 5.66/1.16 ![U,V,W,X,Y]: (~strictly_less_than(X,Y)|(check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))<=>$false))),
% 5.66/1.16 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 5.66/1.16 fof(f105,plain,(
% 5.66/1.16 ![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)))),
% 5.66/1.16 inference(NNF_transformation,[status(esa)],[f104])).
% 5.66/1.16 fof(f106,plain,(
% 5.66/1.16 ![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)))),
% 5.66/1.16 inference(miniscoping,[status(esa)],[f105])).
% 5.66/1.16 fof(f107,plain,(
% 5.66/1.16 ![X,Y]: (~strictly_less_than(X,Y)|(![U,V,W]: ~check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))))),
% 5.66/1.16 inference($true_and_$false_simplification,[status(esa)],[f106])).
% 5.66/1.16 fof(f108,plain,(
% 5.66/1.16 ![X0,X1,X2,X3,X4]: (~strictly_less_than(X0,X1)|~check_cpq(triple(X2,insert_slb(X3,pair(X0,X1)),X4)))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f107])).
% 5.66/1.16 fof(f109,plain,(
% 5.66/1.16 ![U,V,W,X]: ((~contains_cpq(triple(U,V,W),X)|contains_slb(V,X))&(contains_cpq(triple(U,V,W),X)|~contains_slb(V,X)))),
% 5.66/1.16 inference(NNF_transformation,[status(esa)],[f27])).
% 5.66/1.16 fof(f110,plain,(
% 5.66/1.16 (![V,X]: ((![U,W]: ~contains_cpq(triple(U,V,W),X))|contains_slb(V,X)))&(![V,X]: ((![U,W]: contains_cpq(triple(U,V,W),X))|~contains_slb(V,X)))),
% 5.66/1.16 inference(miniscoping,[status(esa)],[f109])).
% 5.66/1.16 fof(f111,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (~contains_cpq(triple(X0,X1,X2),X3)|contains_slb(X1,X3))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f110])).
% 5.66/1.16 fof(f131,plain,(
% 5.66/1.16 ![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))),
% 5.66/1.16 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 5.66/1.16 fof(f132,plain,(
% 5.66/1.16 ![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)))),
% 5.66/1.16 inference(miniscoping,[status(esa)],[f131])).
% 5.66/1.16 fof(f133,plain,(
% 5.66/1.16 ![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))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f132])).
% 5.66/1.16 fof(f134,plain,(
% 5.66/1.16 ![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))),
% 5.66/1.16 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 5.66/1.16 fof(f135,plain,(
% 5.66/1.16 ![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)))),
% 5.66/1.16 inference(miniscoping,[status(esa)],[f134])).
% 5.66/1.16 fof(f136,plain,(
% 5.66/1.16 ![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))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f135])).
% 5.66/1.16 fof(f137,plain,(
% 5.66/1.16 ![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))),
% 5.66/1.16 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 5.66/1.16 fof(f138,plain,(
% 5.66/1.16 ![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)))),
% 5.66/1.16 inference(miniscoping,[status(esa)],[f137])).
% 5.66/1.16 fof(f139,plain,(
% 5.66/1.16 ![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))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f138])).
% 5.66/1.16 fof(f141,plain,(
% 5.66/1.16 ![U,V,W,X]: (V=create_slb|findmin_cpq_res(triple(U,V,W))=findmin_pqp_res(U))),
% 5.66/1.16 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 5.66/1.16 fof(f142,plain,(
% 5.66/1.16 ![V]: (V=create_slb|(![U,W]: findmin_cpq_res(triple(U,V,W))=findmin_pqp_res(U)))),
% 5.66/1.16 inference(miniscoping,[status(esa)],[f141])).
% 5.66/1.16 fof(f143,plain,(
% 5.66/1.16 ![X0,X1,X2]: (X0=create_slb|findmin_cpq_res(triple(X1,X0,X2))=findmin_pqp_res(X1))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f142])).
% 5.66/1.16 fof(f146,plain,(
% 5.66/1.16 ![U,V,W]: (check_cpq(triple(U,V,W))<=>(![X,Y]: (~pair_in_list(V,X,Y)|less_than(Y,X))))),
% 5.66/1.16 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 5.66/1.16 fof(f147,plain,(
% 5.66/1.16 ![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)))))),
% 5.66/1.16 inference(NNF_transformation,[status(esa)],[f146])).
% 5.66/1.16 fof(f148,plain,(
% 5.66/1.16 (![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)))))),
% 5.66/1.16 inference(miniscoping,[status(esa)],[f147])).
% 5.66/1.16 fof(f149,plain,(
% 5.66/1.16 (![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)))))),
% 5.66/1.16 inference(skolemization,[status(esa)],[f148])).
% 5.66/1.16 fof(f150,plain,(
% 5.66/1.16 ![X0,X1,X2,X3,X4]: (~check_cpq(triple(X0,X1,X2))|~pair_in_list(X1,X3,X4)|less_than(X4,X3))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f149])).
% 5.66/1.16 fof(f153,plain,(
% 5.66/1.16 ![U,V,W,X]: ((~contains_slb(V,X)|~strictly_less_than(X,findmin_cpq_res(triple(U,V,W))))|(pair_in_list(update_slb(V,findmin_pqp_res(U)),X,findmin_pqp_res(U))|(?[Y]: (pair_in_list(update_slb(V,findmin_pqp_res(U)),X,Y)&less_than(findmin_pqp_res(U),Y)))))),
% 5.66/1.16 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 5.66/1.16 fof(f154,plain,(
% 5.66/1.16 ![U,V,X]: ((~contains_slb(V,X)|(![W]: ~strictly_less_than(X,findmin_cpq_res(triple(U,V,W)))))|(pair_in_list(update_slb(V,findmin_pqp_res(U)),X,findmin_pqp_res(U))|(?[Y]: (pair_in_list(update_slb(V,findmin_pqp_res(U)),X,Y)&less_than(findmin_pqp_res(U),Y)))))),
% 5.66/1.16 inference(miniscoping,[status(esa)],[f153])).
% 5.66/1.16 fof(f155,plain,(
% 5.66/1.16 ![U,V,X]: ((~contains_slb(V,X)|(![W]: ~strictly_less_than(X,findmin_cpq_res(triple(U,V,W)))))|(pair_in_list(update_slb(V,findmin_pqp_res(U)),X,findmin_pqp_res(U))|(pair_in_list(update_slb(V,findmin_pqp_res(U)),X,sk0_2(X,V,U))&less_than(findmin_pqp_res(U),sk0_2(X,V,U)))))),
% 5.66/1.16 inference(skolemization,[status(esa)],[f154])).
% 5.66/1.16 fof(f156,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (~contains_slb(X0,X1)|~strictly_less_than(X1,findmin_cpq_res(triple(X2,X0,X3)))|pair_in_list(update_slb(X0,findmin_pqp_res(X2)),X1,findmin_pqp_res(X2))|pair_in_list(update_slb(X0,findmin_pqp_res(X2)),X1,sk0_2(X1,X0,X2)))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f155])).
% 5.66/1.16 fof(f157,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (~contains_slb(X0,X1)|~strictly_less_than(X1,findmin_cpq_res(triple(X2,X0,X3)))|pair_in_list(update_slb(X0,findmin_pqp_res(X2)),X1,findmin_pqp_res(X2))|less_than(findmin_pqp_res(X2),sk0_2(X1,X0,X2)))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f155])).
% 5.66/1.16 fof(f158,plain,(
% 5.66/1.16 (?[U,V,W]: ((?[X]: (contains_cpq(triple(U,V,W),X)&strictly_less_than(X,findmin_cpq_res(triple(U,V,W)))))&check_cpq(findmin_cpq_eff(triple(U,V,W)))))),
% 5.66/1.16 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 5.66/1.16 fof(f159,plain,(
% 5.66/1.16 ((contains_cpq(triple(sk0_3,sk0_4,sk0_5),sk0_6)&strictly_less_than(sk0_6,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))))&check_cpq(findmin_cpq_eff(triple(sk0_3,sk0_4,sk0_5))))),
% 5.66/1.16 inference(skolemization,[status(esa)],[f158])).
% 5.66/1.16 fof(f160,plain,(
% 5.66/1.16 contains_cpq(triple(sk0_3,sk0_4,sk0_5),sk0_6)),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f159])).
% 5.66/1.16 fof(f161,plain,(
% 5.66/1.16 strictly_less_than(sk0_6,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f159])).
% 5.66/1.16 fof(f162,plain,(
% 5.66/1.16 check_cpq(findmin_cpq_eff(triple(sk0_3,sk0_4,sk0_5)))),
% 5.66/1.16 inference(cnf_transformation,[status(esa)],[f159])).
% 5.66/1.16 fof(f163,plain,(
% 5.66/1.16 ![X0,X1]: (strictly_less_than(X0,X1)|less_than(X1,X0))),
% 5.66/1.16 inference(forward_subsumption_resolution,[status(thm)],[f55,f49])).
% 5.66/1.16 fof(f165,plain,(
% 5.66/1.16 ![X0,X1,X2]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X1,X2))),
% 5.66/1.16 inference(destructive_equality_resolution,[status(esa)],[f71])).
% 5.66/1.16 fof(f166,plain,(
% 5.66/1.16 ![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))),
% 5.66/1.16 inference(forward_subsumption_resolution,[status(thm)],[f136,f133])).
% 5.66/1.16 fof(f167,plain,(
% 5.66/1.16 less_than(sk0_6,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))),
% 5.66/1.16 inference(resolution,[status(thm)],[f53,f161])).
% 5.66/1.16 fof(f168,plain,(
% 5.66/1.16 ~less_than(findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)),sk0_6)),
% 5.66/1.16 inference(resolution,[status(thm)],[f54,f161])).
% 5.66/1.16 fof(f170,plain,(
% 5.66/1.16 contains_slb(sk0_4,sk0_6)),
% 5.66/1.16 inference(resolution,[status(thm)],[f111,f160])).
% 5.66/1.16 fof(f173,plain,(
% 5.66/1.16 ![X0,X1,X2]: (X0=create_slb|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad)|less_than(lookup_slb(X0,findmin_pqp_res(X1)),findmin_pqp_res(X1)))),
% 5.66/1.16 inference(resolution,[status(thm)],[f166,f163])).
% 5.66/1.16 fof(f174,plain,(
% 5.66/1.16 spl0_0 <=> X0=create_slb|X0=create_slb),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f175,plain,(
% 5.66/1.16 ![X0]: (X0=create_slb|X0=create_slb|~spl0_0)),
% 5.66/1.16 inference(component_clause,[status(thm)],[f174])).
% 5.66/1.16 fof(f177,plain,(
% 5.66/1.16 spl0_1 <=> findmin_pqp_res(X1)=findmin_pqp_res(X1)),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f180,plain,(
% 5.66/1.16 ![X0,X1]: (X0=create_slb|findmin_pqp_res(X1)=findmin_pqp_res(X1)|X0=create_slb)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f143])).
% 5.66/1.16 fof(f181,plain,(
% 5.66/1.16 spl0_0|spl0_1),
% 5.66/1.16 inference(split_clause,[status(thm)],[f180,f174,f177])).
% 5.66/1.16 fof(f182,plain,(
% 5.66/1.16 spl0_2 <=> less_than(findmin_pqp_res(sk0_3),sk0_6)),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f184,plain,(
% 5.66/1.16 ~less_than(findmin_pqp_res(sk0_3),sk0_6)|spl0_2),
% 5.66/1.16 inference(component_clause,[status(thm)],[f182])).
% 5.66/1.16 fof(f185,plain,(
% 5.66/1.16 spl0_3 <=> sk0_4=create_slb),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f186,plain,(
% 5.66/1.16 sk0_4=create_slb|~spl0_3),
% 5.66/1.16 inference(component_clause,[status(thm)],[f185])).
% 5.66/1.16 fof(f187,plain,(
% 5.66/1.16 ~sk0_4=create_slb|spl0_3),
% 5.66/1.16 inference(component_clause,[status(thm)],[f185])).
% 5.66/1.16 fof(f188,plain,(
% 5.66/1.16 ~less_than(findmin_pqp_res(sk0_3),sk0_6)|sk0_4=create_slb),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f168])).
% 5.66/1.16 fof(f189,plain,(
% 5.66/1.16 ~spl0_2|spl0_3),
% 5.66/1.16 inference(split_clause,[status(thm)],[f188,f182,f185])).
% 5.66/1.16 fof(f190,plain,(
% 5.66/1.16 spl0_4 <=> less_than(sk0_6,findmin_pqp_res(sk0_3))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f191,plain,(
% 5.66/1.16 less_than(sk0_6,findmin_pqp_res(sk0_3))|~spl0_4),
% 5.66/1.16 inference(component_clause,[status(thm)],[f190])).
% 5.66/1.16 fof(f193,plain,(
% 5.66/1.16 less_than(sk0_6,findmin_pqp_res(sk0_3))|sk0_4=create_slb),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f167])).
% 5.66/1.16 fof(f194,plain,(
% 5.66/1.16 spl0_4|spl0_3),
% 5.66/1.16 inference(split_clause,[status(thm)],[f193,f190,f185])).
% 5.66/1.16 fof(f195,plain,(
% 5.66/1.16 spl0_5 <=> strictly_less_than(sk0_6,findmin_pqp_res(sk0_3))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f196,plain,(
% 5.66/1.16 strictly_less_than(sk0_6,findmin_pqp_res(sk0_3))|~spl0_5),
% 5.66/1.16 inference(component_clause,[status(thm)],[f195])).
% 5.66/1.16 fof(f198,plain,(
% 5.66/1.16 strictly_less_than(sk0_6,findmin_pqp_res(sk0_3))|sk0_4=create_slb),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f161])).
% 5.66/1.16 fof(f199,plain,(
% 5.66/1.16 spl0_5|spl0_3),
% 5.66/1.16 inference(split_clause,[status(thm)],[f198,f195,f185])).
% 5.66/1.16 fof(f200,plain,(
% 5.66/1.16 ![X0]: (X0=create_slb|~spl0_0)),
% 5.66/1.16 inference(duplicate_literals_removal,[status(esa)],[f175])).
% 5.66/1.16 fof(f202,plain,(
% 5.66/1.16 contains_slb(create_slb,sk0_6)|~spl0_3),
% 5.66/1.16 inference(backward_demodulation,[status(thm)],[f186,f170])).
% 5.66/1.16 fof(f203,plain,(
% 5.66/1.16 $false|~spl0_3),
% 5.66/1.16 inference(forward_subsumption_resolution,[status(thm)],[f202,f59])).
% 5.66/1.16 fof(f204,plain,(
% 5.66/1.16 ~spl0_3),
% 5.66/1.16 inference(contradiction_clause,[status(thm)],[f203])).
% 5.66/1.16 fof(f205,plain,(
% 5.66/1.16 $false|~spl0_0|spl0_3),
% 5.66/1.16 inference(forward_subsumption_resolution,[status(thm)],[f187,f200])).
% 5.66/1.16 fof(f206,plain,(
% 5.66/1.16 ~spl0_0|spl0_3),
% 5.66/1.16 inference(contradiction_clause,[status(thm)],[f205])).
% 5.66/1.16 fof(f221,plain,(
% 5.66/1.16 ![X0,X1]: (update_slb(insert_slb(X0,pair(X1,sk0_6)),findmin_pqp_res(sk0_3))=insert_slb(update_slb(X0,findmin_pqp_res(sk0_3)),pair(X1,findmin_pqp_res(sk0_3)))|~spl0_5)),
% 5.66/1.16 inference(resolution,[status(thm)],[f83,f196])).
% 5.66/1.16 fof(f222,plain,(
% 5.66/1.16 ![X0,X1]: (update_slb(insert_slb(X0,pair(X1,sk0_6)),findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))=insert_slb(update_slb(X0,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))),pair(X1,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))))),
% 5.66/1.16 inference(resolution,[status(thm)],[f83,f161])).
% 5.66/1.16 fof(f223,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (update_slb(insert_slb(X0,pair(X1,X2)),X3)=insert_slb(update_slb(X0,X3),pair(X1,X3))|less_than(X3,X2))),
% 5.66/1.16 inference(resolution,[status(thm)],[f83,f163])).
% 5.66/1.16 fof(f225,plain,(
% 5.66/1.16 spl0_6 <=> update_slb(insert_slb(X0,pair(X1,sk0_6)),findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))=insert_slb(update_slb(X0,findmin_pqp_res(sk0_3)),pair(X1,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f226,plain,(
% 5.66/1.16 ![X0,X1]: (update_slb(insert_slb(X0,pair(X1,sk0_6)),findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))=insert_slb(update_slb(X0,findmin_pqp_res(sk0_3)),pair(X1,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))))|~spl0_6)),
% 5.66/1.16 inference(component_clause,[status(thm)],[f225])).
% 5.66/1.16 fof(f228,plain,(
% 5.66/1.16 ![X0,X1]: (update_slb(insert_slb(X0,pair(X1,sk0_6)),findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))=insert_slb(update_slb(X0,findmin_pqp_res(sk0_3)),pair(X1,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))))|sk0_4=create_slb)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f222])).
% 5.66/1.16 fof(f229,plain,(
% 5.66/1.16 spl0_6|spl0_3),
% 5.66/1.16 inference(split_clause,[status(thm)],[f228,f225,f185])).
% 5.66/1.16 fof(f230,plain,(
% 5.66/1.16 spl0_7 <=> update_slb(insert_slb(X0,pair(X1,sk0_6)),findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))=insert_slb(update_slb(X0,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))),pair(X1,findmin_pqp_res(sk0_3)))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f231,plain,(
% 5.66/1.16 ![X0,X1]: (update_slb(insert_slb(X0,pair(X1,sk0_6)),findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))=insert_slb(update_slb(X0,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))),pair(X1,findmin_pqp_res(sk0_3)))|~spl0_7)),
% 5.66/1.16 inference(component_clause,[status(thm)],[f230])).
% 5.66/1.16 fof(f233,plain,(
% 5.66/1.16 ![X0,X1]: (update_slb(insert_slb(X0,pair(X1,sk0_6)),findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))=insert_slb(update_slb(X0,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))),pair(X1,findmin_pqp_res(sk0_3)))|sk0_4=create_slb)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f222])).
% 5.66/1.16 fof(f234,plain,(
% 5.66/1.16 spl0_7|spl0_3),
% 5.66/1.16 inference(split_clause,[status(thm)],[f233,f230,f185])).
% 5.66/1.16 fof(f235,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (~strictly_less_than(X0,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))|~check_cpq(triple(X1,update_slb(insert_slb(X2,pair(X0,sk0_6)),findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))),X3)))),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f222,f108])).
% 5.66/1.16 fof(f236,plain,(
% 5.66/1.16 spl0_8 <=> ~strictly_less_than(X0,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))|~check_cpq(triple(X1,update_slb(insert_slb(X2,pair(X0,sk0_6)),findmin_pqp_res(sk0_3)),X3))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f239,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (~strictly_less_than(X0,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))|~check_cpq(triple(X1,update_slb(insert_slb(X2,pair(X0,sk0_6)),findmin_pqp_res(sk0_3)),X3))|sk0_4=create_slb)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f235])).
% 5.66/1.16 fof(f240,plain,(
% 5.66/1.16 spl0_8|spl0_3),
% 5.66/1.16 inference(split_clause,[status(thm)],[f239,f236,f185])).
% 5.66/1.16 fof(f241,plain,(
% 5.66/1.16 spl0_9 <=> update_slb(insert_slb(X0,pair(X1,sk0_6)),findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))=insert_slb(update_slb(X0,findmin_pqp_res(sk0_3)),pair(X1,findmin_pqp_res(sk0_3)))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f242,plain,(
% 5.66/1.16 ![X0,X1]: (update_slb(insert_slb(X0,pair(X1,sk0_6)),findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))=insert_slb(update_slb(X0,findmin_pqp_res(sk0_3)),pair(X1,findmin_pqp_res(sk0_3)))|~spl0_9)),
% 5.66/1.16 inference(component_clause,[status(thm)],[f241])).
% 5.66/1.16 fof(f244,plain,(
% 5.66/1.16 ![X0,X1]: (update_slb(insert_slb(X0,pair(X1,sk0_6)),findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))=insert_slb(update_slb(X0,findmin_pqp_res(sk0_3)),pair(X1,findmin_pqp_res(sk0_3)))|sk0_4=create_slb|~spl0_6)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f226])).
% 5.66/1.16 fof(f245,plain,(
% 5.66/1.16 spl0_9|spl0_3|~spl0_6),
% 5.66/1.16 inference(split_clause,[status(thm)],[f244,f241,f185,f225])).
% 5.66/1.16 fof(f248,plain,(
% 5.66/1.16 spl0_10 <=> update_slb(insert_slb(X0,pair(X1,sk0_6)),findmin_pqp_res(sk0_3))=insert_slb(update_slb(X0,findmin_pqp_res(sk0_3)),pair(X1,findmin_pqp_res(sk0_3)))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f251,plain,(
% 5.66/1.16 ![X0,X1]: (update_slb(insert_slb(X0,pair(X1,sk0_6)),findmin_pqp_res(sk0_3))=insert_slb(update_slb(X0,findmin_pqp_res(sk0_3)),pair(X1,findmin_pqp_res(sk0_3)))|sk0_4=create_slb|~spl0_9)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f242])).
% 5.66/1.16 fof(f252,plain,(
% 5.66/1.16 spl0_10|spl0_3|~spl0_9),
% 5.66/1.16 inference(split_clause,[status(thm)],[f251,f248,f185,f241])).
% 5.66/1.16 fof(f261,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (~less_than(findmin_pqp_res(sk0_3),X0)|~check_cpq(triple(X1,update_slb(insert_slb(X2,pair(X0,sk0_6)),findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))),X3))|check_cpq(triple(X1,update_slb(X2,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))),X3))|~spl0_7)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f231,f102])).
% 5.66/1.16 fof(f262,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (~less_than(findmin_pqp_res(sk0_3),X0)|~check_cpq(triple(X1,insert_slb(update_slb(X2,findmin_pqp_res(sk0_3)),pair(X0,findmin_pqp_res(sk0_3))),X3))|check_cpq(triple(X1,update_slb(X2,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))),X3))|~spl0_9|~spl0_7)),
% 5.66/1.16 inference(forward_demodulation,[status(thm)],[f242,f261])).
% 5.66/1.16 fof(f263,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (~less_than(findmin_pqp_res(sk0_3),X0)|~check_cpq(triple(X1,update_slb(insert_slb(X2,pair(X0,sk0_6)),findmin_pqp_res(sk0_3)),X3))|check_cpq(triple(X1,update_slb(X2,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))),X3))|~spl0_5|~spl0_9|~spl0_7)),
% 5.66/1.16 inference(forward_demodulation,[status(thm)],[f221,f262])).
% 5.66/1.16 fof(f271,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (~less_than(X0,X1)|check_cpq(triple(X2,insert_slb(create_slb,pair(X1,X0)),X3)))),
% 5.66/1.16 inference(resolution,[status(thm)],[f103,f98])).
% 5.66/1.16 fof(f272,plain,(
% 5.66/1.16 ![X0,X1]: (check_cpq(triple(X0,insert_slb(create_slb,pair(findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)),sk0_6)),X1)))),
% 5.66/1.16 inference(resolution,[status(thm)],[f271,f167])).
% 5.66/1.16 fof(f273,plain,(
% 5.66/1.16 ![X0,X1]: (check_cpq(triple(X0,insert_slb(create_slb,pair(findmin_pqp_res(sk0_3),sk0_6)),X1))|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f271,f191])).
% 5.66/1.16 fof(f274,plain,(
% 5.66/1.16 spl0_11 <=> check_cpq(triple(X0,create_slb,X1))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f277,plain,(
% 5.66/1.16 ![X0,X1]: (~less_than(sk0_6,findmin_pqp_res(sk0_3))|check_cpq(triple(X0,create_slb,X1))|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f273,f102])).
% 5.66/1.16 fof(f278,plain,(
% 5.66/1.16 ~spl0_4|spl0_11),
% 5.66/1.16 inference(split_clause,[status(thm)],[f277,f190,f274])).
% 5.66/1.16 fof(f280,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (~less_than(X0,X1)|check_cpq(triple(X2,insert_slb(insert_slb(create_slb,pair(findmin_pqp_res(sk0_3),sk0_6)),pair(X1,X0)),X3))|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f273,f103])).
% 5.66/1.16 fof(f283,plain,(
% 5.66/1.16 spl0_12 <=> less_than(sk0_6,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f285,plain,(
% 5.66/1.16 ~less_than(sk0_6,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))|spl0_12),
% 5.66/1.16 inference(component_clause,[status(thm)],[f283])).
% 5.66/1.16 fof(f288,plain,(
% 5.66/1.16 ~strictly_less_than(findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)),sk0_6)),
% 5.66/1.16 inference(resolution,[status(thm)],[f272,f108])).
% 5.66/1.16 fof(f289,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (~less_than(X0,X1)|check_cpq(triple(X2,insert_slb(insert_slb(create_slb,pair(findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)),sk0_6)),pair(X1,X0)),X3)))),
% 5.66/1.16 inference(resolution,[status(thm)],[f272,f103])).
% 5.66/1.16 fof(f290,plain,(
% 5.66/1.16 ![X0,X1]: (~pair_in_list(insert_slb(create_slb,pair(findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)),sk0_6)),X0,X1)|less_than(X1,X0))),
% 5.66/1.16 inference(resolution,[status(thm)],[f272,f150])).
% 5.66/1.16 fof(f291,plain,(
% 5.66/1.16 spl0_13 <=> check_cpq(triple(X0,insert_slb(create_slb,pair(findmin_pqp_res(sk0_3),sk0_6)),X1))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f297,plain,(
% 5.66/1.16 spl0_14 <=> strictly_less_than(findmin_pqp_res(sk0_3),sk0_6)),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f300,plain,(
% 5.66/1.16 ~strictly_less_than(findmin_pqp_res(sk0_3),sk0_6)|sk0_4=create_slb),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f288])).
% 5.66/1.16 fof(f301,plain,(
% 5.66/1.16 ~spl0_14|spl0_3),
% 5.66/1.16 inference(split_clause,[status(thm)],[f300,f297,f185])).
% 5.66/1.16 fof(f302,plain,(
% 5.66/1.16 spl0_15 <=> ~pair_in_list(insert_slb(create_slb,pair(findmin_pqp_res(sk0_3),sk0_6)),X0,X1)|less_than(X1,X0)),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f305,plain,(
% 5.66/1.16 ![X0,X1]: (~pair_in_list(insert_slb(create_slb,pair(findmin_pqp_res(sk0_3),sk0_6)),X0,X1)|less_than(X1,X0)|sk0_4=create_slb)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f290])).
% 5.66/1.16 fof(f306,plain,(
% 5.66/1.16 spl0_15|spl0_3),
% 5.66/1.16 inference(split_clause,[status(thm)],[f305,f302,f185])).
% 5.66/1.16 fof(f308,plain,(
% 5.66/1.16 ![X0,X1]: (check_cpq(triple(X0,insert_slb(insert_slb(create_slb,pair(findmin_pqp_res(sk0_3),sk0_6)),pair(findmin_pqp_res(sk0_3),sk0_6)),X1))|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f280,f191])).
% 5.66/1.16 fof(f309,plain,(
% 5.66/1.16 ![X0,X1]: (~less_than(sk0_6,findmin_pqp_res(sk0_3))|check_cpq(triple(X0,insert_slb(create_slb,pair(findmin_pqp_res(sk0_3),sk0_6)),X1))|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f308,f102])).
% 5.66/1.16 fof(f310,plain,(
% 5.66/1.16 ~spl0_4|spl0_13),
% 5.66/1.16 inference(split_clause,[status(thm)],[f309,f190,f291])).
% 5.66/1.16 fof(f312,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (~less_than(X0,X1)|check_cpq(triple(X2,insert_slb(insert_slb(insert_slb(create_slb,pair(findmin_pqp_res(sk0_3),sk0_6)),pair(findmin_pqp_res(sk0_3),sk0_6)),pair(X1,X0)),X3))|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f308,f103])).
% 5.66/1.16 fof(f314,plain,(
% 5.66/1.16 ![X0,X1]: (check_cpq(triple(X0,insert_slb(insert_slb(create_slb,pair(findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)),sk0_6)),pair(findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)),sk0_6)),X1)))),
% 5.66/1.16 inference(resolution,[status(thm)],[f289,f167])).
% 5.66/1.16 fof(f315,plain,(
% 5.66/1.16 ![X0,X1]: (check_cpq(triple(X0,insert_slb(insert_slb(create_slb,pair(findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)),sk0_6)),pair(findmin_pqp_res(sk0_3),sk0_6)),X1))|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f289,f191])).
% 5.66/1.16 fof(f316,plain,(
% 5.66/1.16 spl0_16 <=> check_cpq(triple(X0,insert_slb(create_slb,pair(findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)),sk0_6)),X1))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f324,plain,(
% 5.66/1.16 spl0_17 <=> check_cpq(triple(X0,insert_slb(insert_slb(create_slb,pair(findmin_pqp_res(sk0_3),sk0_6)),pair(findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)),sk0_6)),X1))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f327,plain,(
% 5.66/1.16 ![X0,X1]: (check_cpq(triple(X0,insert_slb(insert_slb(create_slb,pair(findmin_pqp_res(sk0_3),sk0_6)),pair(findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)),sk0_6)),X1))|sk0_4=create_slb)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f314])).
% 5.66/1.16 fof(f328,plain,(
% 5.66/1.16 spl0_17|spl0_3),
% 5.66/1.16 inference(split_clause,[status(thm)],[f327,f324,f185])).
% 5.66/1.16 fof(f329,plain,(
% 5.66/1.16 spl0_18 <=> check_cpq(triple(X0,insert_slb(insert_slb(create_slb,pair(findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)),sk0_6)),pair(findmin_pqp_res(sk0_3),sk0_6)),X1))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f332,plain,(
% 5.66/1.16 ![X0,X1]: (check_cpq(triple(X0,insert_slb(insert_slb(create_slb,pair(findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)),sk0_6)),pair(findmin_pqp_res(sk0_3),sk0_6)),X1))|sk0_4=create_slb)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f314])).
% 5.66/1.16 fof(f333,plain,(
% 5.66/1.16 spl0_18|spl0_3),
% 5.66/1.16 inference(split_clause,[status(thm)],[f332,f329,f185])).
% 5.66/1.16 fof(f334,plain,(
% 5.66/1.16 $false|spl0_12),
% 5.66/1.16 inference(forward_subsumption_resolution,[status(thm)],[f285,f167])).
% 5.66/1.16 fof(f335,plain,(
% 5.66/1.16 spl0_12),
% 5.66/1.16 inference(contradiction_clause,[status(thm)],[f334])).
% 5.66/1.16 fof(f336,plain,(
% 5.66/1.16 ![X0,X1]: (~less_than(sk0_6,findmin_pqp_res(sk0_3))|check_cpq(triple(X0,insert_slb(create_slb,pair(findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)),sk0_6)),X1))|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f315,f102])).
% 5.66/1.16 fof(f337,plain,(
% 5.66/1.16 ~spl0_4|spl0_16),
% 5.66/1.16 inference(split_clause,[status(thm)],[f336,f190,f316])).
% 5.66/1.16 fof(f340,plain,(
% 5.66/1.16 ![X0,X1]: (~pair_in_list(insert_slb(insert_slb(create_slb,pair(findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)),sk0_6)),pair(findmin_pqp_res(sk0_3),sk0_6)),X0,X1)|less_than(X1,X0)|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f315,f150])).
% 5.66/1.16 fof(f341,plain,(
% 5.66/1.16 spl0_19 <=> check_cpq(triple(X0,insert_slb(insert_slb(create_slb,pair(findmin_pqp_res(sk0_3),sk0_6)),pair(findmin_pqp_res(sk0_3),sk0_6)),X1))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f344,plain,(
% 5.66/1.16 ![X0,X1]: (check_cpq(triple(X0,insert_slb(insert_slb(create_slb,pair(findmin_pqp_res(sk0_3),sk0_6)),pair(findmin_pqp_res(sk0_3),sk0_6)),X1))|sk0_4=create_slb|~spl0_4)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f315])).
% 5.66/1.16 fof(f345,plain,(
% 5.66/1.16 spl0_19|spl0_3|~spl0_4),
% 5.66/1.16 inference(split_clause,[status(thm)],[f344,f341,f185,f190])).
% 5.66/1.16 fof(f356,plain,(
% 5.66/1.16 ![X0,X1,X2,X3,X4,X5]: (update_slb(insert_slb(X0,pair(X1,X2)),X3)=insert_slb(update_slb(X0,X3),pair(X1,X3))|check_cpq(triple(X4,insert_slb(create_slb,pair(X2,X3)),X5)))),
% 5.66/1.16 inference(resolution,[status(thm)],[f223,f271])).
% 5.66/1.16 fof(f368,plain,(
% 5.66/1.16 ![X0,X1,X2,X3,X4,X5,X6,X7]: (update_slb(insert_slb(X0,pair(X1,X2)),X3)=insert_slb(update_slb(X0,X3),pair(X1,X3))|~less_than(X4,X5)|check_cpq(triple(X6,insert_slb(insert_slb(create_slb,pair(X2,X3)),pair(X5,X4)),X7)))),
% 5.66/1.16 inference(resolution,[status(thm)],[f356,f103])).
% 5.66/1.16 fof(f370,plain,(
% 5.66/1.16 spl0_21 <=> ~pair_in_list(insert_slb(insert_slb(create_slb,pair(findmin_pqp_res(sk0_3),sk0_6)),pair(findmin_pqp_res(sk0_3),sk0_6)),X0,X1)|less_than(X1,X0)),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f373,plain,(
% 5.66/1.16 ![X0,X1]: (~pair_in_list(insert_slb(insert_slb(create_slb,pair(findmin_pqp_res(sk0_3),sk0_6)),pair(findmin_pqp_res(sk0_3),sk0_6)),X0,X1)|less_than(X1,X0)|sk0_4=create_slb|~spl0_4)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f340])).
% 5.66/1.16 fof(f374,plain,(
% 5.66/1.16 spl0_21|spl0_3|~spl0_4),
% 5.66/1.16 inference(split_clause,[status(thm)],[f373,f370,f185,f190])).
% 5.66/1.16 fof(f377,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (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)|X0=create_slb|findmin_cpq_eff(triple(X1,X0,X3))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad))),
% 5.66/1.16 inference(resolution,[status(thm)],[f139,f173])).
% 5.66/1.16 fof(f378,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (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)|findmin_cpq_eff(triple(X1,X0,X3))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad))),
% 5.66/1.16 inference(duplicate_literals_removal,[status(esa)],[f377])).
% 5.66/1.16 fof(f379,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (X0=create_slb|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2)|findmin_cpq_eff(triple(X1,X0,X3))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad))),
% 5.66/1.16 inference(forward_subsumption_resolution,[status(thm)],[f378,f133])).
% 5.66/1.16 fof(f424,plain,(
% 5.66/1.16 ![X0,X1,X2]: (X0=create_slb|~findmin_cpq_eff(triple(X1,X0,bad))=findmin_cpq_eff(triple(X1,X0,X2))|triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad)=findmin_cpq_eff(triple(X1,X0,X2)))),
% 5.66/1.16 inference(equality_factoring,[status(esa)],[f379])).
% 5.66/1.16 fof(f442,plain,(
% 5.66/1.16 ![X0,X1]: (X0=create_slb|triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad)=findmin_cpq_eff(triple(X1,X0,bad)))),
% 5.66/1.16 inference(equality_resolution,[status(esa)],[f424])).
% 5.66/1.16 fof(f443,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (X0=create_slb|findmin_cpq_eff(triple(X1,X0,X2))=findmin_cpq_eff(triple(X1,X0,bad))|X0=create_slb|findmin_cpq_eff(triple(X1,X0,X3))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),X3))),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f379,f442])).
% 5.66/1.16 fof(f444,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (X0=create_slb|findmin_cpq_eff(triple(X1,X0,X2))=findmin_cpq_eff(triple(X1,X0,bad))|findmin_cpq_eff(triple(X1,X0,X3))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),X3))),
% 5.66/1.16 inference(duplicate_literals_removal,[status(esa)],[f443])).
% 5.66/1.16 fof(f456,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (~check_cpq(findmin_cpq_eff(triple(X0,X1,bad)))|~pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X2,X3)|less_than(X3,X2)|X1=create_slb)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f442,f150])).
% 5.66/1.16 fof(f509,plain,(
% 5.66/1.16 spl0_31 <=> check_cpq(findmin_cpq_eff(triple(sk0_3,sk0_4,bad)))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f510,plain,(
% 5.66/1.16 check_cpq(findmin_cpq_eff(triple(sk0_3,sk0_4,bad)))|~spl0_31),
% 5.66/1.16 inference(component_clause,[status(thm)],[f509])).
% 5.66/1.16 fof(f512,plain,(
% 5.66/1.16 spl0_32 <=> findmin_cpq_eff(triple(sk0_3,sk0_4,X0))=triple(sk0_3,update_slb(sk0_4,findmin_pqp_res(sk0_3)),X0)),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f513,plain,(
% 5.66/1.16 ![X0]: (findmin_cpq_eff(triple(sk0_3,sk0_4,X0))=triple(sk0_3,update_slb(sk0_4,findmin_pqp_res(sk0_3)),X0)|~spl0_32)),
% 5.66/1.16 inference(component_clause,[status(thm)],[f512])).
% 5.66/1.16 fof(f515,plain,(
% 5.66/1.16 ![X0]: (check_cpq(findmin_cpq_eff(triple(sk0_3,sk0_4,bad)))|sk0_4=create_slb|findmin_cpq_eff(triple(sk0_3,sk0_4,X0))=triple(sk0_3,update_slb(sk0_4,findmin_pqp_res(sk0_3)),X0))),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f444,f162])).
% 5.66/1.16 fof(f516,plain,(
% 5.66/1.16 spl0_31|spl0_3|spl0_32),
% 5.66/1.16 inference(split_clause,[status(thm)],[f515,f509,f185,f512])).
% 5.66/1.16 fof(f555,plain,(
% 5.66/1.16 spl0_33 <=> ~pair_in_list(update_slb(sk0_4,findmin_pqp_res(sk0_3)),X0,X1)|less_than(X1,X0)),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f556,plain,(
% 5.66/1.16 ![X0,X1]: (~pair_in_list(update_slb(sk0_4,findmin_pqp_res(sk0_3)),X0,X1)|less_than(X1,X0)|~spl0_33)),
% 5.66/1.16 inference(component_clause,[status(thm)],[f555])).
% 5.66/1.16 fof(f558,plain,(
% 5.66/1.16 ![X0,X1]: (~pair_in_list(update_slb(sk0_4,findmin_pqp_res(sk0_3)),X0,X1)|less_than(X1,X0)|sk0_4=create_slb|~spl0_31)),
% 5.66/1.16 inference(resolution,[status(thm)],[f510,f456])).
% 5.66/1.16 fof(f559,plain,(
% 5.66/1.16 spl0_33|spl0_3|~spl0_31),
% 5.66/1.16 inference(split_clause,[status(thm)],[f558,f555,f185,f509])).
% 5.66/1.16 fof(f593,plain,(
% 5.66/1.16 spl0_39 <=> update_slb(sk0_4,findmin_pqp_res(sk0_3))=create_slb),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f594,plain,(
% 5.66/1.16 update_slb(sk0_4,findmin_pqp_res(sk0_3))=create_slb|~spl0_39),
% 5.66/1.16 inference(component_clause,[status(thm)],[f593])).
% 5.66/1.16 fof(f651,plain,(
% 5.66/1.16 spl0_52 <=> ~check_cpq(findmin_cpq_eff(triple(sk0_3,sk0_4,X0)))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f652,plain,(
% 5.66/1.16 ![X0]: (~check_cpq(findmin_cpq_eff(triple(sk0_3,sk0_4,X0)))|~spl0_52)),
% 5.66/1.16 inference(component_clause,[status(thm)],[f651])).
% 5.66/1.16 fof(f654,plain,(
% 5.66/1.16 ![X0,X1,X2]: (~check_cpq(findmin_cpq_eff(triple(sk0_3,sk0_4,X0)))|~pair_in_list(update_slb(sk0_4,findmin_pqp_res(sk0_3)),X1,X2)|less_than(X2,X1)|~spl0_32)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f513,f150])).
% 5.66/1.16 fof(f655,plain,(
% 5.66/1.16 spl0_52|spl0_33|~spl0_32),
% 5.66/1.16 inference(split_clause,[status(thm)],[f654,f651,f555,f512])).
% 5.66/1.16 fof(f671,plain,(
% 5.66/1.16 ![X0]: (update_slb(insert_slb(sk0_4,pair(X0,sk0_6)),findmin_pqp_res(sk0_3))=insert_slb(create_slb,pair(X0,findmin_pqp_res(sk0_3)))|~spl0_5|~spl0_39)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f594,f221])).
% 5.66/1.16 fof(f703,plain,(
% 5.66/1.16 spl0_59 <=> check_cpq(triple(sk0_3,create_slb,bad))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f705,plain,(
% 5.66/1.16 ~check_cpq(triple(sk0_3,create_slb,bad))|spl0_59),
% 5.66/1.16 inference(component_clause,[status(thm)],[f703])).
% 5.66/1.16 fof(f851,plain,(
% 5.66/1.16 spl0_79 <=> ~check_cpq(triple(sk0_3,create_slb,X2))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f852,plain,(
% 5.66/1.16 ![X0]: (~check_cpq(triple(sk0_3,create_slb,X0))|~spl0_79)),
% 5.66/1.16 inference(component_clause,[status(thm)],[f851])).
% 5.66/1.16 fof(f899,plain,(
% 5.66/1.16 $false|spl0_59),
% 5.66/1.16 inference(forward_subsumption_resolution,[status(thm)],[f705,f98])).
% 5.66/1.16 fof(f900,plain,(
% 5.66/1.16 spl0_59),
% 5.66/1.16 inference(contradiction_clause,[status(thm)],[f899])).
% 5.66/1.16 fof(f901,plain,(
% 5.66/1.16 $false|~spl0_79),
% 5.66/1.16 inference(forward_subsumption_resolution,[status(thm)],[f852,f98])).
% 5.66/1.16 fof(f902,plain,(
% 5.66/1.16 ~spl0_79),
% 5.66/1.16 inference(contradiction_clause,[status(thm)],[f901])).
% 5.66/1.16 fof(f1223,plain,(
% 5.66/1.16 ![X0,X1,X2]: (~less_than(findmin_pqp_res(sk0_3),X0)|~check_cpq(triple(X1,insert_slb(create_slb,pair(X0,findmin_pqp_res(sk0_3))),X2))|check_cpq(triple(X1,update_slb(sk0_4,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))),X2))|~spl0_9|~spl0_7|~spl0_5|~spl0_39)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f671,f263])).
% 5.66/1.16 fof(f1224,plain,(
% 5.66/1.16 ![X0,X1,X2]: (~less_than(findmin_pqp_res(sk0_3),X0)|check_cpq(triple(X1,update_slb(sk0_4,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))),X2))|~spl0_9|~spl0_7|~spl0_5|~spl0_39)),
% 5.66/1.16 inference(forward_subsumption_resolution,[status(thm)],[f1223,f271])).
% 5.66/1.16 fof(f1237,plain,(
% 5.66/1.16 spl0_110 <=> check_cpq(triple(X0,update_slb(sk0_4,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))),X1))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f1238,plain,(
% 5.66/1.16 ![X0,X1]: (check_cpq(triple(X0,update_slb(sk0_4,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))),X1))|~spl0_110)),
% 5.66/1.16 inference(component_clause,[status(thm)],[f1237])).
% 5.66/1.16 fof(f1247,plain,(
% 5.66/1.16 spl0_112 <=> check_cpq(triple(X0,update_slb(sk0_4,findmin_pqp_res(sk0_3)),X1))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f1248,plain,(
% 5.66/1.16 ![X0,X1]: (check_cpq(triple(X0,update_slb(sk0_4,findmin_pqp_res(sk0_3)),X1))|~spl0_112)),
% 5.66/1.16 inference(component_clause,[status(thm)],[f1247])).
% 5.66/1.16 fof(f1250,plain,(
% 5.66/1.16 ![X0,X1]: (check_cpq(triple(X0,update_slb(sk0_4,findmin_pqp_res(sk0_3)),X1))|sk0_4=create_slb|~spl0_110)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f1238])).
% 5.66/1.16 fof(f1251,plain,(
% 5.66/1.16 spl0_112|spl0_3|~spl0_110),
% 5.66/1.16 inference(split_clause,[status(thm)],[f1250,f1247,f185,f1237])).
% 5.66/1.16 fof(f1253,plain,(
% 5.66/1.16 spl0_113 <=> ~less_than(findmin_pqp_res(sk0_3),X0)),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f1254,plain,(
% 5.66/1.16 ![X0]: (~less_than(findmin_pqp_res(sk0_3),X0)|~spl0_113)),
% 5.66/1.16 inference(component_clause,[status(thm)],[f1253])).
% 5.66/1.16 fof(f1256,plain,(
% 5.66/1.16 spl0_113|spl0_110|~spl0_9|~spl0_7|~spl0_5|~spl0_39),
% 5.66/1.16 inference(split_clause,[status(thm)],[f1224,f1253,f1237,f241,f230,f195,f593])).
% 5.66/1.16 fof(f1800,plain,(
% 5.66/1.16 $false|~spl0_113),
% 5.66/1.16 inference(resolution,[status(thm)],[f50,f1254])).
% 5.66/1.16 fof(f1801,plain,(
% 5.66/1.16 ~spl0_113),
% 5.66/1.16 inference(contradiction_clause,[status(thm)],[f1800])).
% 5.66/1.16 fof(f1814,plain,(
% 5.66/1.16 ![X0]: (update_slb(insert_slb(create_slb,pair(X0,sk0_6)),findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))=insert_slb(create_slb,pair(X0,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))))),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f80,f222])).
% 5.66/1.16 fof(f1994,plain,(
% 5.66/1.16 ![X0,X1]: (pair_in_list(update_slb(insert_slb(X0,pair(X1,sk0_6)),findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))),X1,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))))),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f222,f165])).
% 5.66/1.16 fof(f1995,plain,(
% 5.66/1.16 ![X0,X1]: (pair_in_list(insert_slb(update_slb(X0,findmin_pqp_res(sk0_3)),pair(X1,findmin_pqp_res(sk0_3))),X1,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))|~spl0_9)),
% 5.66/1.16 inference(forward_demodulation,[status(thm)],[f242,f1994])).
% 5.66/1.16 fof(f1996,plain,(
% 5.66/1.16 ![X0,X1]: (pair_in_list(update_slb(insert_slb(X0,pair(X1,sk0_6)),findmin_pqp_res(sk0_3)),X1,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)))|~spl0_5|~spl0_9)),
% 5.66/1.16 inference(forward_demodulation,[status(thm)],[f221,f1995])).
% 5.66/1.16 fof(f2193,plain,(
% 5.66/1.16 ![X0]: (~less_than(X0,sk0_6)|less_than(X0,findmin_pqp_res(sk0_3))|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f48,f191])).
% 5.66/1.16 fof(f2198,plain,(
% 5.66/1.16 ![X0]: (~less_than(findmin_pqp_res(sk0_3),X0)|~less_than(X0,sk0_6)|spl0_2)),
% 5.66/1.16 inference(resolution,[status(thm)],[f48,f184])).
% 5.66/1.16 fof(f2200,plain,(
% 5.66/1.16 ![X0]: (~less_than(findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5)),X0)|~less_than(X0,sk0_6))),
% 5.66/1.16 inference(resolution,[status(thm)],[f48,f168])).
% 5.66/1.16 fof(f2217,plain,(
% 5.66/1.16 ![X0,X1]: (contains_slb(insert_slb(sk0_4,pair(X0,X1)),sk0_6))),
% 5.66/1.16 inference(resolution,[status(thm)],[f63,f170])).
% 5.66/1.16 fof(f2316,plain,(
% 5.66/1.16 ![X0]: (less_than(X0,findmin_pqp_res(sk0_3))|less_than(sk0_6,X0)|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f2193,f49])).
% 5.66/1.16 fof(f2327,plain,(
% 5.66/1.16 spl0_145 <=> contains_slb(sk0_4,sk0_6)),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f2330,plain,(
% 5.66/1.16 spl0_146 <=> X0=sk0_6),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f2331,plain,(
% 5.66/1.16 ![X0]: (X0=sk0_6|~spl0_146)),
% 5.66/1.16 inference(component_clause,[status(thm)],[f2330])).
% 5.66/1.16 fof(f2333,plain,(
% 5.66/1.16 ![X0]: (contains_slb(sk0_4,sk0_6)|X0=sk0_6)),
% 5.66/1.16 inference(resolution,[status(thm)],[f2217,f62])).
% 5.66/1.16 fof(f2334,plain,(
% 5.66/1.16 spl0_145|spl0_146),
% 5.66/1.16 inference(split_clause,[status(thm)],[f2333,f2327,f2330])).
% 5.66/1.16 fof(f2337,plain,(
% 5.66/1.16 ![X0,X1,X2,X3]: (contains_slb(insert_slb(insert_slb(sk0_4,pair(X0,X1)),pair(X2,X3)),sk0_6))),
% 5.66/1.16 inference(resolution,[status(thm)],[f2217,f63])).
% 5.66/1.16 fof(f2344,plain,(
% 5.66/1.16 ![X0,X1]: (less_than(sk0_6,X0)|~less_than(X1,X0)|less_than(X1,findmin_pqp_res(sk0_3))|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f2316,f48])).
% 5.66/1.16 fof(f2357,plain,(
% 5.66/1.16 check_cpq(findmin_cpq_eff(triple(sk0_3,sk0_4,bad)))|sk0_4=create_slb|~spl0_112),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f442,f1248])).
% 5.66/1.16 fof(f2358,plain,(
% 5.66/1.16 spl0_31|spl0_3|~spl0_112),
% 5.66/1.16 inference(split_clause,[status(thm)],[f2357,f509,f185,f1247])).
% 5.66/1.16 fof(f2371,plain,(
% 5.66/1.16 spl0_147 <=> ~less_than(X0,sk0_6)|~less_than(findmin_pqp_res(sk0_3),X0)),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f2397,plain,(
% 5.66/1.16 spl0_150 <=> less_than(X0,findmin_pqp_res(sk0_3))|less_than(sk0_6,X0)),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f2404,plain,(
% 5.66/1.16 ![X0,X1]: (less_than(sk0_6,X0)|less_than(X1,findmin_pqp_res(sk0_3))|less_than(X0,X1)|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f2344,f49])).
% 5.66/1.16 fof(f2429,plain,(
% 5.66/1.16 spl0_151 <=> update_slb(insert_slb(create_slb,pair(X0,sk0_6)),findmin_pqp_res(sk0_3))=insert_slb(create_slb,pair(X0,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f2432,plain,(
% 5.66/1.16 ![X0]: (update_slb(insert_slb(create_slb,pair(X0,sk0_6)),findmin_pqp_res(sk0_3))=insert_slb(create_slb,pair(X0,findmin_cpq_res(triple(sk0_3,sk0_4,sk0_5))))|sk0_4=create_slb)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f1814])).
% 5.66/1.16 fof(f2433,plain,(
% 5.66/1.16 spl0_151|spl0_3),
% 5.66/1.16 inference(split_clause,[status(thm)],[f2432,f2429,f185])).
% 5.66/1.16 fof(f2441,plain,(
% 5.66/1.16 spl0_152 <=> pair_in_list(update_slb(insert_slb(X0,pair(X1,sk0_6)),findmin_pqp_res(sk0_3)),X1,findmin_pqp_res(sk0_3))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f2444,plain,(
% 5.66/1.16 ![X0,X1]: (pair_in_list(update_slb(insert_slb(X0,pair(X1,sk0_6)),findmin_pqp_res(sk0_3)),X1,findmin_pqp_res(sk0_3))|sk0_4=create_slb|~spl0_5|~spl0_9)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f1996])).
% 5.66/1.16 fof(f2445,plain,(
% 5.66/1.16 spl0_152|spl0_3|~spl0_5|~spl0_9),
% 5.66/1.16 inference(split_clause,[status(thm)],[f2444,f2441,f185,f195,f241])).
% 5.66/1.16 fof(f2522,plain,(
% 5.66/1.16 spl0_154 <=> less_than(X0,findmin_pqp_res(sk0_3))|~less_than(X0,sk0_6)),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f2540,plain,(
% 5.66/1.16 spl0_156 <=> update_slb(insert_slb(X0,pair(X1,findmin_pqp_res(sk0_3))),sk0_6)=insert_slb(update_slb(X0,sk0_6),pair(X1,findmin_pqp_res(sk0_3)))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f2543,plain,(
% 5.66/1.16 ![X0,X1]: (less_than(findmin_pqp_res(sk0_3),sk0_6)|update_slb(insert_slb(X0,pair(X1,findmin_pqp_res(sk0_3))),sk0_6)=insert_slb(update_slb(X0,sk0_6),pair(X1,findmin_pqp_res(sk0_3)))|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f2404,f86])).
% 5.66/1.16 fof(f2544,plain,(
% 5.66/1.16 spl0_2|spl0_156|~spl0_4),
% 5.66/1.16 inference(split_clause,[status(thm)],[f2543,f182,f2540,f190])).
% 5.66/1.16 fof(f2546,plain,(
% 5.66/1.16 ![X0]: (less_than(findmin_pqp_res(sk0_3),sk0_6)|~less_than(X0,sk0_6)|less_than(X0,findmin_pqp_res(sk0_3))|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f2404,f48])).
% 5.66/1.16 fof(f2547,plain,(
% 5.66/1.16 spl0_2|spl0_154|~spl0_4),
% 5.66/1.16 inference(split_clause,[status(thm)],[f2546,f182,f2522,f190])).
% 5.66/1.16 fof(f2549,plain,(
% 5.66/1.16 spl0_157 <=> update_slb(insert_slb(X0,pair(X1,X2)),X3)=insert_slb(update_slb(X0,X3),pair(X1,X3))|check_cpq(triple(X4,insert_slb(insert_slb(create_slb,pair(X2,X3)),pair(findmin_pqp_res(sk0_3),sk0_6)),X5))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f2552,plain,(
% 5.66/1.16 ![X0,X1,X2,X3,X4,X5]: (less_than(findmin_pqp_res(sk0_3),sk0_6)|update_slb(insert_slb(X0,pair(X1,X2)),X3)=insert_slb(update_slb(X0,X3),pair(X1,X3))|check_cpq(triple(X4,insert_slb(insert_slb(create_slb,pair(X2,X3)),pair(findmin_pqp_res(sk0_3),sk0_6)),X5))|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f2404,f368])).
% 5.66/1.16 fof(f2553,plain,(
% 5.66/1.16 spl0_2|spl0_157|~spl0_4),
% 5.66/1.16 inference(split_clause,[status(thm)],[f2552,f182,f2549,f190])).
% 5.66/1.16 fof(f2555,plain,(
% 5.66/1.16 spl0_158 <=> check_cpq(triple(X0,insert_slb(insert_slb(insert_slb(create_slb,pair(findmin_pqp_res(sk0_3),sk0_6)),pair(findmin_pqp_res(sk0_3),sk0_6)),pair(findmin_pqp_res(sk0_3),sk0_6)),X1))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f2558,plain,(
% 5.66/1.16 ![X0,X1]: (less_than(findmin_pqp_res(sk0_3),sk0_6)|check_cpq(triple(X0,insert_slb(insert_slb(insert_slb(create_slb,pair(findmin_pqp_res(sk0_3),sk0_6)),pair(findmin_pqp_res(sk0_3),sk0_6)),pair(findmin_pqp_res(sk0_3),sk0_6)),X1))|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f2404,f312])).
% 5.66/1.16 fof(f2559,plain,(
% 5.66/1.16 spl0_2|spl0_158|~spl0_4),
% 5.66/1.16 inference(split_clause,[status(thm)],[f2558,f182,f2555,f190])).
% 5.66/1.16 fof(f2631,plain,(
% 5.66/1.16 ![X0,X1]: (less_than(sk0_6,X0)|less_than(X1,findmin_pqp_res(sk0_3))|less_than(sk0_6,X1)|less_than(X0,findmin_pqp_res(sk0_3))|~spl0_4)),
% 5.66/1.16 inference(resolution,[status(thm)],[f2404,f2344])).
% 5.66/1.16 fof(f2632,plain,(
% 5.66/1.16 spl0_150|~spl0_4),
% 5.66/1.16 inference(split_clause,[status(thm)],[f2631,f2397,f190])).
% 5.66/1.16 fof(f2666,plain,(
% 5.66/1.16 ![X0]: (~less_than(findmin_pqp_res(sk0_3),X0)|~less_than(X0,sk0_6)|sk0_4=create_slb)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f143,f2200])).
% 5.66/1.16 fof(f2667,plain,(
% 5.66/1.16 spl0_147|spl0_3),
% 5.66/1.16 inference(split_clause,[status(thm)],[f2666,f2371,f185])).
% 5.66/1.16 fof(f2668,plain,(
% 5.66/1.16 spl0_168 <=> contains_slb(insert_slb(sk0_4,pair(X0,X1)),sk0_6)),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f2671,plain,(
% 5.66/1.16 ![X0,X1,X2]: (contains_slb(insert_slb(sk0_4,pair(X0,X1)),sk0_6)|X2=sk0_6)),
% 5.66/1.16 inference(resolution,[status(thm)],[f2337,f62])).
% 5.66/1.16 fof(f2672,plain,(
% 5.66/1.16 spl0_168|spl0_146),
% 5.66/1.16 inference(split_clause,[status(thm)],[f2671,f2668,f2330])).
% 5.66/1.16 fof(f2693,plain,(
% 5.66/1.16 ![X0]: (~less_than(findmin_pqp_res(sk0_3),X0)|spl0_2|~spl0_146)),
% 5.66/1.16 inference(paramodulation,[status(thm)],[f2331,f184])).
% 5.66/1.16 fof(f2694,plain,(
% 5.66/1.16 spl0_113|spl0_2|~spl0_146),
% 5.66/1.16 inference(split_clause,[status(thm)],[f2693,f1253,f182,f2330])).
% 5.66/1.16 fof(f3478,plain,(
% 5.66/1.16 spl0_175 <=> pair_in_list(update_slb(sk0_4,findmin_pqp_res(sk0_3)),sk0_6,findmin_pqp_res(sk0_3))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f3479,plain,(
% 5.66/1.16 pair_in_list(update_slb(sk0_4,findmin_pqp_res(sk0_3)),sk0_6,findmin_pqp_res(sk0_3))|~spl0_175),
% 5.66/1.16 inference(component_clause,[status(thm)],[f3478])).
% 5.66/1.16 fof(f3481,plain,(
% 5.66/1.16 spl0_176 <=> pair_in_list(update_slb(sk0_4,findmin_pqp_res(sk0_3)),sk0_6,sk0_2(sk0_6,sk0_4,sk0_3))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f3482,plain,(
% 5.66/1.16 pair_in_list(update_slb(sk0_4,findmin_pqp_res(sk0_3)),sk0_6,sk0_2(sk0_6,sk0_4,sk0_3))|~spl0_176),
% 5.66/1.16 inference(component_clause,[status(thm)],[f3481])).
% 5.66/1.16 fof(f3484,plain,(
% 5.66/1.16 ~contains_slb(sk0_4,sk0_6)|pair_in_list(update_slb(sk0_4,findmin_pqp_res(sk0_3)),sk0_6,findmin_pqp_res(sk0_3))|pair_in_list(update_slb(sk0_4,findmin_pqp_res(sk0_3)),sk0_6,sk0_2(sk0_6,sk0_4,sk0_3))),
% 5.66/1.16 inference(resolution,[status(thm)],[f156,f161])).
% 5.66/1.16 fof(f3485,plain,(
% 5.66/1.16 ~spl0_145|spl0_175|spl0_176),
% 5.66/1.16 inference(split_clause,[status(thm)],[f3484,f2327,f3478,f3481])).
% 5.66/1.16 fof(f3491,plain,(
% 5.66/1.16 spl0_177 <=> less_than(findmin_pqp_res(sk0_3),sk0_2(sk0_6,sk0_4,sk0_3))),
% 5.66/1.16 introduced(split_symbol_definition)).
% 5.66/1.16 fof(f3492,plain,(
% 5.66/1.16 less_than(findmin_pqp_res(sk0_3),sk0_2(sk0_6,sk0_4,sk0_3))|~spl0_177),
% 5.66/1.16 inference(component_clause,[status(thm)],[f3491])).
% 5.66/1.16 fof(f3494,plain,(
% 5.66/1.16 ~contains_slb(sk0_4,sk0_6)|pair_in_list(update_slb(sk0_4,findmin_pqp_res(sk0_3)),sk0_6,findmin_pqp_res(sk0_3))|less_than(findmin_pqp_res(sk0_3),sk0_2(sk0_6,sk0_4,sk0_3))),
% 5.66/1.16 inference(resolution,[status(thm)],[f157,f161])).
% 5.66/1.16 fof(f3495,plain,(
% 5.66/1.16 ~spl0_145|spl0_175|spl0_177),
% 5.66/1.16 inference(split_clause,[status(thm)],[f3494,f2327,f3478,f3491])).
% 5.66/1.16 fof(f3581,plain,(
% 5.66/1.16 less_than(findmin_pqp_res(sk0_3),sk0_6)|~spl0_175|~spl0_33),
% 5.66/1.16 inference(resolution,[status(thm)],[f3479,f556])).
% 5.66/1.16 fof(f3582,plain,(
% 5.66/1.16 $false|spl0_2|~spl0_175|~spl0_33),
% 5.66/1.16 inference(forward_subsumption_resolution,[status(thm)],[f3581,f184])).
% 5.66/1.16 fof(f3583,plain,(
% 5.66/1.16 spl0_2|~spl0_175|~spl0_33),
% 5.66/1.16 inference(contradiction_clause,[status(thm)],[f3582])).
% 5.66/1.16 fof(f3585,plain,(
% 5.66/1.16 ~less_than(sk0_2(sk0_6,sk0_4,sk0_3),sk0_6)|~spl0_177|spl0_2),
% 5.66/1.16 inference(resolution,[status(thm)],[f3492,f2198])).
% 5.66/1.16 fof(f3592,plain,(
% 5.66/1.16 less_than(sk0_2(sk0_6,sk0_4,sk0_3),sk0_6)|~spl0_176|~spl0_33),
% 5.66/1.16 inference(resolution,[status(thm)],[f3482,f556])).
% 5.66/1.16 fof(f3593,plain,(
% 5.66/1.16 $false|~spl0_177|spl0_2|~spl0_176|~spl0_33),
% 5.66/1.16 inference(forward_subsumption_resolution,[status(thm)],[f3592,f3585])).
% 5.66/1.16 fof(f3594,plain,(
% 5.66/1.16 ~spl0_177|spl0_2|~spl0_176|~spl0_33),
% 5.66/1.16 inference(contradiction_clause,[status(thm)],[f3593])).
% 5.66/1.16 fof(f3596,plain,(
% 5.66/1.16 $false|~spl0_52),
% 5.66/1.16 inference(forward_subsumption_resolution,[status(thm)],[f162,f652])).
% 5.66/1.16 fof(f3597,plain,(
% 5.66/1.16 ~spl0_52),
% 5.66/1.16 inference(contradiction_clause,[status(thm)],[f3596])).
% 5.66/1.16 fof(f3598,plain,(
% 5.66/1.16 $false),
% 5.66/1.16 inference(sat_refutation,[status(thm)],[f181,f189,f194,f199,f204,f206,f229,f234,f240,f245,f252,f278,f301,f306,f310,f328,f333,f335,f337,f345,f374,f516,f559,f655,f900,f902,f1251,f1256,f1801,f2334,f2358,f2433,f2445,f2544,f2547,f2553,f2559,f2632,f2667,f2672,f2694,f3485,f3495,f3583,f3594,f3597])).
% 5.66/1.16 % SZS output end CNFRefutation for theBenchmark.p
% 6.34/1.18 % Elapsed time: 0.816652 seconds
% 6.34/1.18 % CPU time: 6.348301 seconds
% 6.34/1.18 % Total memory used: 122.882 MB
% 6.34/1.18 % Net memory used: 119.716 MB
%------------------------------------------------------------------------------