TSTP Solution File: SWV401+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV401+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 20:46:56 EDT 2024
% Result : Theorem 0.21s 0.50s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV401+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.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 Apr 30 00:36:14 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.21/0.50 % Refutation found
% 0.21/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.50 fof(f1,axiom,(
% 0.21/0.50 (! [U,V,W] :( ( less_than(U,V)& less_than(V,W) )=> less_than(U,W) ) )),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f2,axiom,(
% 0.21/0.50 (! [U,V] :( less_than(U,V)| less_than(V,U) ) )),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f4,axiom,(
% 0.21/0.50 (! [U,V] :( strictly_less_than(U,V)<=> ( less_than(U,V)& ~ less_than(V,U) ) ) )),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f11,axiom,(
% 0.21/0.50 (! [U,V,W,X,Y] :( pair_in_list(insert_slb(U,pair(V,X)),W,Y)<=> ( pair_in_list(U,W,Y)| ( V = W& X = Y ) ) ) )),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f14,axiom,(
% 0.21/0.50 (! [U,V,W] : lookup_slb(insert_slb(U,pair(V,W)),V) = W )),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f17,axiom,(
% 0.21/0.50 (! [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)) ) )),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f18,axiom,(
% 0.21/0.50 (! [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)) ) )),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f19,conjecture,(
% 0.21/0.50 (! [U] :( (! [V,W,X] :( ( pair_in_list(U,V,W)& less_than(X,W) )=> pair_in_list(update_slb(U,X),V,W) ))=> (! [Y,Z,X1,X2,X3] :( ( pair_in_list(insert_slb(U,pair(X2,X3)),Y,Z)& less_than(X1,Z) )=> pair_in_list(update_slb(insert_slb(U,pair(X2,X3)),X1),Y,Z) ) )) )),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f20,negated_conjecture,(
% 0.21/0.50 ~((! [U] :( (! [V,W,X] :( ( pair_in_list(U,V,W)& less_than(X,W) )=> pair_in_list(update_slb(U,X),V,W) ))=> (! [Y,Z,X1,X2,X3] :( ( pair_in_list(insert_slb(U,pair(X2,X3)),Y,Z)& less_than(X1,Z) )=> pair_in_list(update_slb(insert_slb(U,pair(X2,X3)),X1),Y,Z) ) )) ))),
% 0.21/0.50 inference(negated_conjecture,[status(cth)],[f19])).
% 0.21/0.50 fof(f21,plain,(
% 0.21/0.50 ![U,V,W]: ((~less_than(U,V)|~less_than(V,W))|less_than(U,W))),
% 0.21/0.50 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.21/0.50 fof(f22,plain,(
% 0.21/0.50 ![U,W]: ((![V]: (~less_than(U,V)|~less_than(V,W)))|less_than(U,W))),
% 0.21/0.50 inference(miniscoping,[status(esa)],[f21])).
% 0.21/0.50 fof(f23,plain,(
% 0.21/0.50 ![X0,X1,X2]: (~less_than(X0,X1)|~less_than(X1,X2)|less_than(X0,X2))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f22])).
% 0.21/0.50 fof(f24,plain,(
% 0.21/0.50 ![X0,X1]: (less_than(X0,X1)|less_than(X1,X0))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f2])).
% 0.21/0.50 fof(f26,plain,(
% 0.21/0.50 ![U,V]: ((~strictly_less_than(U,V)|(less_than(U,V)&~less_than(V,U)))&(strictly_less_than(U,V)|(~less_than(U,V)|less_than(V,U))))),
% 0.21/0.50 inference(NNF_transformation,[status(esa)],[f4])).
% 0.21/0.50 fof(f27,plain,(
% 0.21/0.50 (![U,V]: (~strictly_less_than(U,V)|(less_than(U,V)&~less_than(V,U))))&(![U,V]: (strictly_less_than(U,V)|(~less_than(U,V)|less_than(V,U))))),
% 0.21/0.50 inference(miniscoping,[status(esa)],[f26])).
% 0.21/0.50 fof(f30,plain,(
% 0.21/0.50 ![X0,X1]: (strictly_less_than(X0,X1)|~less_than(X0,X1)|less_than(X1,X0))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f27])).
% 0.21/0.50 fof(f41,plain,(
% 0.21/0.50 ![U,V,W,X,Y]: ((~pair_in_list(insert_slb(U,pair(V,X)),W,Y)|(pair_in_list(U,W,Y)|(V=W&X=Y)))&(pair_in_list(insert_slb(U,pair(V,X)),W,Y)|(~pair_in_list(U,W,Y)&(~V=W|~X=Y))))),
% 0.21/0.50 inference(NNF_transformation,[status(esa)],[f11])).
% 0.21/0.50 fof(f42,plain,(
% 0.21/0.50 (![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))))),
% 0.21/0.50 inference(miniscoping,[status(esa)],[f41])).
% 0.21/0.50 fof(f43,plain,(
% 0.21/0.50 ![X0,X1,X2,X3,X4]: (~pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|pair_in_list(X0,X3,X4)|X1=X3)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f42])).
% 0.21/0.50 fof(f44,plain,(
% 0.21/0.50 ![X0,X1,X2,X3,X4]: (~pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|pair_in_list(X0,X3,X4)|X2=X4)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f42])).
% 0.21/0.50 fof(f45,plain,(
% 0.21/0.50 ![X0,X1,X2,X3,X4]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|~pair_in_list(X0,X3,X4))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f42])).
% 0.21/0.50 fof(f46,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|~X1=X3|~X2=X4)),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f42])).
% 0.21/0.51 fof(f51,plain,(
% 0.21/0.51 ![X0,X1,X2]: (lookup_slb(insert_slb(X0,pair(X1,X2)),X1)=X2)),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f14])).
% 0.21/0.51 fof(f56,plain,(
% 0.21/0.51 ![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)))),
% 0.21/0.51 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.21/0.51 fof(f57,plain,(
% 0.21/0.51 ![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))))),
% 0.21/0.51 inference(miniscoping,[status(esa)],[f56])).
% 0.21/0.51 fof(f58,plain,(
% 0.21/0.51 ![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)))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f57])).
% 0.21/0.51 fof(f59,plain,(
% 0.21/0.51 ![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)))),
% 0.21/0.51 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.21/0.51 fof(f60,plain,(
% 0.21/0.51 ![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))))),
% 0.21/0.51 inference(miniscoping,[status(esa)],[f59])).
% 0.21/0.51 fof(f61,plain,(
% 0.21/0.51 ![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)))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f60])).
% 0.21/0.51 fof(f62,plain,(
% 0.21/0.51 (?[U]: ((![V,W,X]: ((~pair_in_list(U,V,W)|~less_than(X,W))|pair_in_list(update_slb(U,X),V,W)))&(?[Y,Z,X1,X2,X3]: ((pair_in_list(insert_slb(U,pair(X2,X3)),Y,Z)&less_than(X1,Z))&~pair_in_list(update_slb(insert_slb(U,pair(X2,X3)),X1),Y,Z)))))),
% 0.21/0.51 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.21/0.51 fof(f63,plain,(
% 0.21/0.51 ((![V,W,X]: ((~pair_in_list(sk0_0,V,W)|~less_than(X,W))|pair_in_list(update_slb(sk0_0,X),V,W)))&((pair_in_list(insert_slb(sk0_0,pair(sk0_4,sk0_5)),sk0_1,sk0_2)&less_than(sk0_3,sk0_2))&~pair_in_list(update_slb(insert_slb(sk0_0,pair(sk0_4,sk0_5)),sk0_3),sk0_1,sk0_2)))),
% 0.21/0.51 inference(skolemization,[status(esa)],[f62])).
% 0.21/0.51 fof(f64,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~pair_in_list(sk0_0,X0,X1)|~less_than(X2,X1)|pair_in_list(update_slb(sk0_0,X2),X0,X1))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f63])).
% 0.21/0.51 fof(f65,plain,(
% 0.21/0.51 pair_in_list(insert_slb(sk0_0,pair(sk0_4,sk0_5)),sk0_1,sk0_2)),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f63])).
% 0.21/0.51 fof(f66,plain,(
% 0.21/0.51 less_than(sk0_3,sk0_2)),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f63])).
% 0.21/0.51 fof(f67,plain,(
% 0.21/0.51 ~pair_in_list(update_slb(insert_slb(sk0_0,pair(sk0_4,sk0_5)),sk0_3),sk0_1,sk0_2)),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f63])).
% 0.21/0.51 fof(f69,plain,(
% 0.21/0.51 ![X0,X1,X2]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X1,X2))),
% 0.21/0.51 inference(destructive_equality_resolution,[status(esa)],[f46])).
% 0.21/0.51 fof(f70,plain,(
% 0.21/0.51 spl0_0 <=> pair_in_list(sk0_0,sk0_1,sk0_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f71,plain,(
% 0.21/0.51 pair_in_list(sk0_0,sk0_1,sk0_2)|~spl0_0),
% 0.21/0.51 inference(component_clause,[status(thm)],[f70])).
% 0.21/0.51 fof(f73,plain,(
% 0.21/0.51 spl0_1 <=> sk0_4=sk0_1),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f74,plain,(
% 0.21/0.51 sk0_4=sk0_1|~spl0_1),
% 0.21/0.51 inference(component_clause,[status(thm)],[f73])).
% 0.21/0.51 fof(f76,plain,(
% 0.21/0.51 pair_in_list(sk0_0,sk0_1,sk0_2)|sk0_4=sk0_1),
% 0.21/0.51 inference(resolution,[status(thm)],[f43,f65])).
% 0.21/0.51 fof(f77,plain,(
% 0.21/0.51 spl0_0|spl0_1),
% 0.21/0.51 inference(split_clause,[status(thm)],[f76,f70,f73])).
% 0.21/0.51 fof(f78,plain,(
% 0.21/0.51 spl0_2 <=> sk0_5=sk0_2),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f79,plain,(
% 0.21/0.51 sk0_5=sk0_2|~spl0_2),
% 0.21/0.51 inference(component_clause,[status(thm)],[f78])).
% 0.21/0.51 fof(f81,plain,(
% 0.21/0.51 pair_in_list(sk0_0,sk0_1,sk0_2)|sk0_5=sk0_2),
% 0.21/0.51 inference(resolution,[status(thm)],[f44,f65])).
% 0.21/0.51 fof(f82,plain,(
% 0.21/0.51 spl0_0|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f81,f70,f78])).
% 0.21/0.51 fof(f83,plain,(
% 0.21/0.51 ![X0,X1]: (update_slb(insert_slb(X0,pair(X1,sk0_2)),sk0_3)=insert_slb(update_slb(X0,sk0_3),pair(X1,sk0_2)))),
% 0.21/0.51 inference(resolution,[status(thm)],[f61,f66])).
% 0.21/0.51 fof(f84,plain,(
% 0.21/0.51 ![X0,X1,X2]: (update_slb(insert_slb(X0,pair(X1,X2)),X2)=insert_slb(update_slb(X0,X2),pair(X1,X2)))),
% 0.21/0.51 inference(resolution,[status(thm)],[f61,f24])).
% 0.21/0.51 fof(f88,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (update_slb(insert_slb(X0,pair(X1,X2)),X3)=insert_slb(update_slb(X0,X3),pair(X1,X2))|~less_than(X3,X4)|~less_than(X4,X2))),
% 0.21/0.51 inference(resolution,[status(thm)],[f61,f23])).
% 0.21/0.51 fof(f92,plain,(
% 0.21/0.51 ![X0,X1]: (strictly_less_than(X0,X1)|less_than(X1,X0))),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f30,f24])).
% 0.21/0.51 fof(f100,plain,(
% 0.21/0.51 ![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))),
% 0.21/0.51 inference(resolution,[status(thm)],[f58,f92])).
% 0.21/0.51 fof(f102,plain,(
% 0.21/0.51 ![X0,X1,X2]: (update_slb(insert_slb(X0,pair(X1,sk0_2)),X2)=insert_slb(update_slb(X0,X2),pair(X1,sk0_2))|~less_than(X2,sk0_3))),
% 0.21/0.51 inference(resolution,[status(thm)],[f88,f66])).
% 0.21/0.51 fof(f110,plain,(
% 0.21/0.51 ![X0]: (~less_than(X0,sk0_2)|pair_in_list(update_slb(sk0_0,X0),sk0_1,sk0_2)|~spl0_0)),
% 0.21/0.51 inference(resolution,[status(thm)],[f71,f64])).
% 0.21/0.51 fof(f114,plain,(
% 0.21/0.51 ![X0,X1,X2]: (update_slb(insert_slb(X0,pair(X1,sk0_2)),X2)=insert_slb(update_slb(X0,X2),pair(X1,sk0_2))|less_than(sk0_3,X2))),
% 0.21/0.51 inference(resolution,[status(thm)],[f102,f24])).
% 0.21/0.51 fof(f117,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (update_slb(insert_slb(X0,pair(X1,sk0_2)),X2)=insert_slb(update_slb(X0,X2),pair(X1,sk0_2))|~less_than(X2,X3)|~less_than(X3,sk0_3))),
% 0.21/0.51 inference(resolution,[status(thm)],[f102,f23])).
% 0.21/0.51 fof(f119,plain,(
% 0.21/0.51 spl0_3 <=> update_slb(insert_slb(X0,pair(X1,sk0_2)),sk0_3)=insert_slb(update_slb(X0,sk0_3),pair(X1,sk0_2))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f122,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (update_slb(insert_slb(X0,pair(X1,sk0_2)),sk0_3)=insert_slb(update_slb(X0,sk0_3),pair(X1,sk0_2))|update_slb(insert_slb(X2,pair(X3,sk0_2)),sk0_3)=insert_slb(update_slb(X2,sk0_3),pair(X3,sk0_2)))),
% 0.21/0.51 inference(resolution,[status(thm)],[f114,f102])).
% 0.21/0.51 fof(f123,plain,(
% 0.21/0.51 spl0_3),
% 0.21/0.51 inference(split_clause,[status(thm)],[f122,f119])).
% 0.21/0.51 fof(f167,plain,(
% 0.21/0.51 spl0_11 <=> pair_in_list(insert_slb(update_slb(sk0_0,sk0_3),pair(sk0_4,sk0_5)),sk0_1,sk0_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f168,plain,(
% 0.21/0.51 pair_in_list(insert_slb(update_slb(sk0_0,sk0_3),pair(sk0_4,sk0_5)),sk0_1,sk0_2)|~spl0_11),
% 0.21/0.51 inference(component_clause,[status(thm)],[f167])).
% 0.21/0.51 fof(f169,plain,(
% 0.21/0.51 ~pair_in_list(insert_slb(update_slb(sk0_0,sk0_3),pair(sk0_4,sk0_5)),sk0_1,sk0_2)|spl0_11),
% 0.21/0.51 inference(component_clause,[status(thm)],[f167])).
% 0.21/0.51 fof(f179,plain,(
% 0.21/0.51 ~pair_in_list(update_slb(sk0_0,sk0_3),sk0_1,sk0_2)|spl0_11),
% 0.21/0.51 inference(resolution,[status(thm)],[f169,f45])).
% 0.21/0.51 fof(f180,plain,(
% 0.21/0.51 ~less_than(sk0_3,sk0_2)|spl0_11|~spl0_0),
% 0.21/0.51 inference(resolution,[status(thm)],[f179,f110])).
% 0.21/0.51 fof(f181,plain,(
% 0.21/0.51 $false|spl0_11|~spl0_0),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f180,f66])).
% 0.21/0.51 fof(f182,plain,(
% 0.21/0.51 spl0_11|~spl0_0),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f181])).
% 0.21/0.51 fof(f183,plain,(
% 0.21/0.51 ~pair_in_list(update_slb(insert_slb(sk0_0,pair(sk0_1,sk0_5)),sk0_3),sk0_1,sk0_2)|~spl0_1),
% 0.21/0.51 inference(backward_demodulation,[status(thm)],[f74,f67])).
% 0.21/0.51 fof(f186,plain,(
% 0.21/0.51 ~pair_in_list(update_slb(insert_slb(sk0_0,pair(sk0_1,sk0_2)),sk0_3),sk0_1,sk0_2)|~spl0_2|~spl0_1),
% 0.21/0.51 inference(forward_demodulation,[status(thm)],[f79,f183])).
% 0.21/0.51 fof(f187,plain,(
% 0.21/0.51 ~pair_in_list(insert_slb(update_slb(sk0_0,sk0_3),pair(sk0_1,sk0_2)),sk0_1,sk0_2)|~spl0_2|~spl0_1),
% 0.21/0.51 inference(forward_demodulation,[status(thm)],[f83,f186])).
% 0.21/0.51 fof(f188,plain,(
% 0.21/0.51 $false|~spl0_2|~spl0_1),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f187,f69])).
% 0.21/0.51 fof(f189,plain,(
% 0.21/0.51 ~spl0_2|~spl0_1),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f188])).
% 0.21/0.51 fof(f194,plain,(
% 0.21/0.51 spl0_14 <=> update_slb(insert_slb(X2,pair(X3,sk0_5)),sk0_3)=insert_slb(update_slb(X2,sk0_3),pair(X3,sk0_5))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f195,plain,(
% 0.21/0.51 ![X0,X1]: (update_slb(insert_slb(X0,pair(X1,sk0_5)),sk0_3)=insert_slb(update_slb(X0,sk0_3),pair(X1,sk0_5))|~spl0_14)),
% 0.21/0.51 inference(component_clause,[status(thm)],[f194])).
% 0.21/0.51 fof(f201,plain,(
% 0.21/0.51 spl0_15 <=> pair_in_list(update_slb(sk0_0,sk0_3),sk0_1,sk0_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f202,plain,(
% 0.21/0.51 pair_in_list(update_slb(sk0_0,sk0_3),sk0_1,sk0_2)|~spl0_15),
% 0.21/0.51 inference(component_clause,[status(thm)],[f201])).
% 0.21/0.51 fof(f204,plain,(
% 0.21/0.51 pair_in_list(update_slb(sk0_0,sk0_3),sk0_1,sk0_2)|sk0_5=sk0_2|~spl0_11),
% 0.21/0.51 inference(resolution,[status(thm)],[f168,f44])).
% 0.21/0.51 fof(f205,plain,(
% 0.21/0.51 spl0_15|spl0_2|~spl0_11),
% 0.21/0.51 inference(split_clause,[status(thm)],[f204,f201,f78,f167])).
% 0.21/0.51 fof(f206,plain,(
% 0.21/0.51 pair_in_list(update_slb(sk0_0,sk0_3),sk0_1,sk0_2)|sk0_4=sk0_1|~spl0_11),
% 0.21/0.51 inference(resolution,[status(thm)],[f168,f43])).
% 0.21/0.51 fof(f207,plain,(
% 0.21/0.51 spl0_15|spl0_1|~spl0_11),
% 0.21/0.51 inference(split_clause,[status(thm)],[f206,f201,f73,f167])).
% 0.21/0.51 fof(f215,plain,(
% 0.21/0.51 spl0_16 <=> update_slb(insert_slb(X0,pair(X1,sk0_2)),X2)=insert_slb(update_slb(X0,X2),pair(X1,sk0_2))|~less_than(X2,sk0_3)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f222,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (update_slb(insert_slb(X0,pair(X1,sk0_2)),X2)=insert_slb(update_slb(X0,X2),pair(X1,sk0_2))|~less_than(X2,X3)|less_than(sk0_3,X3))),
% 0.21/0.51 inference(resolution,[status(thm)],[f117,f24])).
% 0.21/0.51 fof(f225,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (update_slb(insert_slb(X0,pair(X1,sk0_2)),X2)=insert_slb(update_slb(X0,X2),pair(X1,sk0_2))|~less_than(X2,X3)|~less_than(X3,X4)|~less_than(X4,sk0_3))),
% 0.21/0.51 inference(resolution,[status(thm)],[f117,f23])).
% 0.21/0.51 fof(f245,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4,X5]: (update_slb(insert_slb(X0,pair(X1,sk0_2)),X2)=insert_slb(update_slb(X0,X2),pair(X1,sk0_2))|~less_than(X2,sk0_3)|update_slb(insert_slb(X3,pair(X4,sk0_2)),X5)=insert_slb(update_slb(X3,X5),pair(X4,sk0_2))|~less_than(X5,sk0_3))),
% 0.21/0.51 inference(resolution,[status(thm)],[f222,f117])).
% 0.21/0.51 fof(f246,plain,(
% 0.21/0.51 spl0_16),
% 0.21/0.51 inference(split_clause,[status(thm)],[f245,f215])).
% 0.21/0.51 fof(f264,plain,(
% 0.21/0.51 spl0_19 <=> update_slb(insert_slb(X0,pair(X1,sk0_2)),X2)=insert_slb(update_slb(X0,X2),pair(X1,sk0_2))|~less_than(X2,X3)|~less_than(X3,sk0_3)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f273,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (update_slb(insert_slb(X0,pair(X1,sk0_2)),X2)=insert_slb(update_slb(X0,X2),pair(X1,sk0_2))|~less_than(X2,X3)|~less_than(X3,X4)|less_than(sk0_3,X4))),
% 0.21/0.51 inference(resolution,[status(thm)],[f225,f24])).
% 0.21/0.51 fof(f276,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4,X5]: (update_slb(insert_slb(X0,pair(X1,sk0_2)),X2)=insert_slb(update_slb(X0,X2),pair(X1,sk0_2))|~less_than(X2,X3)|~less_than(X3,X4)|~less_than(X4,X5)|~less_than(X5,sk0_3))),
% 0.21/0.51 inference(resolution,[status(thm)],[f225,f23])).
% 0.21/0.51 fof(f299,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4,X5,X6,X7]: (update_slb(insert_slb(X0,pair(X1,sk0_2)),X2)=insert_slb(update_slb(X0,X2),pair(X1,sk0_2))|~less_than(X2,X3)|~less_than(X3,sk0_3)|update_slb(insert_slb(X4,pair(X5,sk0_2)),X6)=insert_slb(update_slb(X4,X6),pair(X5,sk0_2))|~less_than(X6,X7)|~less_than(X7,sk0_3))),
% 0.21/0.51 inference(resolution,[status(thm)],[f273,f225])).
% 0.21/0.51 fof(f300,plain,(
% 0.21/0.51 spl0_19),
% 0.21/0.51 inference(split_clause,[status(thm)],[f299,f264])).
% 0.21/0.51 fof(f319,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4,X5]: (update_slb(insert_slb(X0,pair(X1,sk0_2)),X2)=insert_slb(update_slb(X0,X2),pair(X1,sk0_2))|~less_than(X2,X3)|~less_than(X3,X4)|~less_than(X4,X5)|less_than(sk0_3,X5))),
% 0.21/0.51 inference(resolution,[status(thm)],[f276,f24])).
% 0.21/0.51 fof(f415,plain,(
% 0.21/0.51 spl0_32 <=> ~less_than(X3,X4)|less_than(sk0_3,X4)|update_slb(insert_slb(X5,pair(X6,sk0_2)),X3)=insert_slb(update_slb(X5,X3),pair(X6,sk0_2))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f423,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4,X5]: (update_slb(insert_slb(X0,pair(X1,sk0_2)),X2)=insert_slb(update_slb(X0,X2),pair(X1,sk0_2))|~less_than(X2,X3)|~less_than(X4,X5)|less_than(sk0_3,X5)|less_than(X4,X3))),
% 0.21/0.51 inference(resolution,[status(thm)],[f319,f24])).
% 0.21/0.51 fof(f465,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4,X5,X6,X7]: (update_slb(insert_slb(X0,pair(X1,sk0_2)),X2)=insert_slb(update_slb(X0,X2),pair(X1,sk0_2))|~less_than(X2,X3)|less_than(sk0_3,X4)|less_than(sk0_3,X3)|update_slb(insert_slb(X5,pair(X6,sk0_2)),X7)=insert_slb(update_slb(X5,X7),pair(X6,sk0_2))|~less_than(X7,X4))),
% 0.21/0.51 inference(resolution,[status(thm)],[f423,f222])).
% 0.21/0.51 fof(f466,plain,(
% 0.21/0.51 spl0_32),
% 0.21/0.51 inference(split_clause,[status(thm)],[f465,f415])).
% 0.21/0.51 fof(f577,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4,X5]: (update_slb(insert_slb(X0,pair(X1,X2)),X3)=insert_slb(update_slb(X0,X3),pair(X1,X3))|update_slb(insert_slb(X4,pair(X5,X2)),X3)=insert_slb(update_slb(X4,X3),pair(X5,X2)))),
% 0.21/0.51 inference(resolution,[status(thm)],[f100,f61])).
% 0.21/0.51 fof(f1192,plain,(
% 0.21/0.51 spl0_82 <=> pair_in_list(insert_slb(update_slb(sk0_0,sk0_3),pair(sk0_4,sk0_3)),sk0_1,sk0_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1193,plain,(
% 0.21/0.51 pair_in_list(insert_slb(update_slb(sk0_0,sk0_3),pair(sk0_4,sk0_3)),sk0_1,sk0_2)|~spl0_82),
% 0.21/0.51 inference(component_clause,[status(thm)],[f1192])).
% 0.21/0.51 fof(f1194,plain,(
% 0.21/0.51 ~pair_in_list(insert_slb(update_slb(sk0_0,sk0_3),pair(sk0_4,sk0_3)),sk0_1,sk0_2)|spl0_82),
% 0.21/0.51 inference(component_clause,[status(thm)],[f1192])).
% 0.21/0.51 fof(f1195,plain,(
% 0.21/0.51 ![X0,X1]: (~pair_in_list(insert_slb(update_slb(sk0_0,sk0_3),pair(sk0_4,sk0_3)),sk0_1,sk0_2)|update_slb(insert_slb(X0,pair(X1,sk0_5)),sk0_3)=insert_slb(update_slb(X0,sk0_3),pair(X1,sk0_5)))),
% 0.21/0.51 inference(paramodulation,[status(thm)],[f577,f67])).
% 0.21/0.51 fof(f1196,plain,(
% 0.21/0.51 ~spl0_82|spl0_14),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1195,f1192,f194])).
% 0.21/0.51 fof(f1223,plain,(
% 0.21/0.51 spl0_83 <=> update_slb(insert_slb(X0,pair(X1,sk0_5)),sk0_3)=insert_slb(update_slb(X0,sk0_3),pair(X1,sk0_3))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1224,plain,(
% 0.21/0.51 ![X0,X1]: (update_slb(insert_slb(X0,pair(X1,sk0_5)),sk0_3)=insert_slb(update_slb(X0,sk0_3),pair(X1,sk0_3))|~spl0_83)),
% 0.21/0.51 inference(component_clause,[status(thm)],[f1223])).
% 0.21/0.51 fof(f1226,plain,(
% 0.21/0.51 ![X0,X1]: (~pair_in_list(insert_slb(update_slb(sk0_0,sk0_3),pair(sk0_4,sk0_5)),sk0_1,sk0_2)|update_slb(insert_slb(X0,pair(X1,sk0_5)),sk0_3)=insert_slb(update_slb(X0,sk0_3),pair(X1,sk0_3)))),
% 0.21/0.51 inference(paramodulation,[status(thm)],[f577,f67])).
% 0.21/0.51 fof(f1227,plain,(
% 0.21/0.51 ~spl0_11|spl0_83),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1226,f167,f1223])).
% 0.21/0.51 fof(f1257,plain,(
% 0.21/0.51 ~pair_in_list(update_slb(sk0_0,sk0_3),sk0_1,sk0_2)|spl0_82),
% 0.21/0.51 inference(resolution,[status(thm)],[f1194,f45])).
% 0.21/0.51 fof(f1258,plain,(
% 0.21/0.51 $false|~spl0_15|spl0_82),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1257,f202])).
% 0.21/0.51 fof(f1259,plain,(
% 0.21/0.51 ~spl0_15|spl0_82),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f1258])).
% 0.21/0.51 fof(f1455,plain,(
% 0.21/0.51 ![X0,X1]: (insert_slb(update_slb(X0,sk0_3),pair(X1,sk0_5))=insert_slb(update_slb(X0,sk0_3),pair(X1,sk0_3))|~spl0_14|~spl0_83)),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f195,f1224])).
% 0.21/0.52 fof(f1475,plain,(
% 0.21/0.52 ![X0,X1]: (lookup_slb(insert_slb(update_slb(X0,sk0_3),pair(X1,sk0_3)),X1)=sk0_5|~spl0_14|~spl0_83)),
% 0.21/0.52 inference(paramodulation,[status(thm)],[f1455,f51])).
% 0.21/0.52 fof(f1476,plain,(
% 0.21/0.52 sk0_3=sk0_5|~spl0_14|~spl0_83),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f51,f1475])).
% 0.21/0.52 fof(f1624,plain,(
% 0.21/0.52 ~pair_in_list(update_slb(insert_slb(sk0_0,pair(sk0_4,sk0_3)),sk0_3),sk0_1,sk0_2)|~spl0_14|~spl0_83),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f1476,f67])).
% 0.21/0.52 fof(f1625,plain,(
% 0.21/0.52 ~pair_in_list(insert_slb(update_slb(sk0_0,sk0_3),pair(sk0_4,sk0_3)),sk0_1,sk0_2)|~spl0_14|~spl0_83),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f84,f1624])).
% 0.21/0.52 fof(f1626,plain,(
% 0.21/0.52 $false|~spl0_82|~spl0_14|~spl0_83),
% 0.21/0.52 inference(forward_subsumption_resolution,[status(thm)],[f1625,f1193])).
% 0.21/0.52 fof(f1627,plain,(
% 0.21/0.52 ~spl0_82|~spl0_14|~spl0_83),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f1626])).
% 0.21/0.52 fof(f1628,plain,(
% 0.21/0.52 $false),
% 0.21/0.52 inference(sat_refutation,[status(thm)],[f77,f82,f123,f182,f189,f205,f207,f246,f300,f466,f1196,f1227,f1259,f1627])).
% 0.21/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.52 % Elapsed time: 0.166232 seconds
% 0.21/0.52 % CPU time: 1.232507 seconds
% 0.21/0.52 % Total memory used: 72.654 MB
% 0.21/0.52 % Net memory used: 70.818 MB
%------------------------------------------------------------------------------