TSTP Solution File: SWV409+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV409+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 : Tue Apr 30 20:46:57 EDT 2024
% Result : Theorem 3.76s 0.85s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV409+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n007.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 00:27:32 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.37 % Drodi V3.6.0
% 3.76/0.85 % Refutation found
% 3.76/0.85 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.76/0.85 % SZS output start CNFRefutation for theBenchmark
% 3.76/0.85 fof(f2,axiom,(
% 3.76/0.85 (! [U,V] :( less_than(U,V)| less_than(V,U) ) )),
% 3.76/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.76/0.85 fof(f3,axiom,(
% 3.76/0.85 (! [U] : less_than(U,U) )),
% 3.76/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.76/0.85 fof(f4,axiom,(
% 3.76/0.85 (! [U,V] :( strictly_less_than(U,V)<=> ( less_than(U,V)& ~ less_than(V,U) ) ) )),
% 3.76/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.76/0.85 fof(f9,axiom,(
% 3.76/0.85 (! [U,V,W,X] :( contains_slb(insert_slb(U,pair(V,X)),W)<=> ( contains_slb(U,W)| V = W ) ) )),
% 3.76/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.76/0.85 fof(f11,axiom,(
% 3.76/0.85 (! [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 ) ) ) )),
% 3.76/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.76/0.85 fof(f17,axiom,(
% 3.76/0.85 (! [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)) ) )),
% 3.76/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.76/0.85 fof(f19,lemma,(
% 3.76/0.85 (! [U,V] :( contains_slb(U,V)=> (? [W] : pair_in_list(U,V,W) )) )),
% 3.76/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.76/0.85 fof(f20,lemma,(
% 3.76/0.85 (! [U,V,W,X] :( ( pair_in_list(U,V,W)& strictly_less_than(V,X)& strictly_less_than(W,X) )=> pair_in_list(update_slb(U,X),V,X) ) )),
% 3.76/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.76/0.85 fof(f21,lemma,(
% 3.76/0.85 (! [U,V,W,X] :( ( pair_in_list(U,V,W)& strictly_less_than(V,X)& less_than(X,W) )=> (? [Y] :( pair_in_list(update_slb(U,X),V,Y)& less_than(X,Y) ) )) )),
% 3.76/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.76/0.85 fof(f22,conjecture,(
% 3.76/0.85 (! [U,V,W] :( ( contains_slb(U,V)& strictly_less_than(V,W) )=> ( pair_in_list(update_slb(U,W),V,W)| (? [X] :( pair_in_list(update_slb(U,W),V,X)& less_than(W,X) ) )) ) )),
% 3.76/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.76/0.85 fof(f23,negated_conjecture,(
% 3.76/0.85 ~((! [U,V,W] :( ( contains_slb(U,V)& strictly_less_than(V,W) )=> ( pair_in_list(update_slb(U,W),V,W)| (? [X] :( pair_in_list(update_slb(U,W),V,X)& less_than(W,X) ) )) ) ))),
% 3.76/0.85 inference(negated_conjecture,[status(cth)],[f22])).
% 3.76/0.85 fof(f27,plain,(
% 3.76/0.85 ![X0,X1]: (less_than(X0,X1)|less_than(X1,X0))),
% 3.76/0.85 inference(cnf_transformation,[status(esa)],[f2])).
% 3.76/0.85 fof(f28,plain,(
% 3.76/0.85 ![X0]: (less_than(X0,X0))),
% 3.76/0.85 inference(cnf_transformation,[status(esa)],[f3])).
% 3.76/0.85 fof(f29,plain,(
% 3.76/0.85 ![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))))),
% 3.76/0.85 inference(NNF_transformation,[status(esa)],[f4])).
% 3.76/0.85 fof(f30,plain,(
% 3.76/0.85 (![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))))),
% 3.76/0.85 inference(miniscoping,[status(esa)],[f29])).
% 3.76/0.85 fof(f32,plain,(
% 3.76/0.85 ![X0,X1]: (~strictly_less_than(X0,X1)|~less_than(X1,X0))),
% 3.76/0.85 inference(cnf_transformation,[status(esa)],[f30])).
% 3.76/0.85 fof(f33,plain,(
% 3.76/0.85 ![X0,X1]: (strictly_less_than(X0,X1)|~less_than(X0,X1)|less_than(X1,X0))),
% 3.76/0.85 inference(cnf_transformation,[status(esa)],[f30])).
% 3.76/0.85 fof(f38,plain,(
% 3.76/0.85 ![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)))),
% 3.76/0.85 inference(NNF_transformation,[status(esa)],[f9])).
% 3.76/0.85 fof(f39,plain,(
% 3.76/0.85 (![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)))),
% 3.76/0.85 inference(miniscoping,[status(esa)],[f38])).
% 3.76/0.85 fof(f41,plain,(
% 3.76/0.85 ![X0,X1,X2,X3]: (contains_slb(insert_slb(X0,pair(X1,X2)),X3)|~contains_slb(X0,X3))),
% 3.76/0.85 inference(cnf_transformation,[status(esa)],[f39])).
% 3.76/0.85 fof(f44,plain,(
% 3.76/0.85 ![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))))),
% 3.76/0.85 inference(NNF_transformation,[status(esa)],[f11])).
% 3.76/0.85 fof(f45,plain,(
% 3.76/0.85 (![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))))),
% 3.76/0.85 inference(miniscoping,[status(esa)],[f44])).
% 3.76/0.85 fof(f46,plain,(
% 3.76/0.85 ![X0,X1,X2,X3,X4]: (~pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|pair_in_list(X0,X3,X4)|X1=X3)),
% 3.76/0.85 inference(cnf_transformation,[status(esa)],[f45])).
% 3.76/0.85 fof(f49,plain,(
% 3.76/0.85 ![X0,X1,X2,X3,X4]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|~X1=X3|~X2=X4)),
% 3.76/0.85 inference(cnf_transformation,[status(esa)],[f45])).
% 3.76/0.85 fof(f59,plain,(
% 3.76/0.85 ![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)))),
% 3.76/0.85 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 3.76/0.85 fof(f60,plain,(
% 3.76/0.85 ![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))))),
% 3.76/0.85 inference(miniscoping,[status(esa)],[f59])).
% 3.76/0.85 fof(f61,plain,(
% 3.76/0.85 ![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)))),
% 3.76/0.85 inference(cnf_transformation,[status(esa)],[f60])).
% 3.76/0.85 fof(f65,plain,(
% 3.76/0.85 ![U,V]: (~contains_slb(U,V)|(?[W]: pair_in_list(U,V,W)))),
% 3.76/0.85 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 3.76/0.85 fof(f66,plain,(
% 3.76/0.85 ![U,V]: (~contains_slb(U,V)|pair_in_list(U,V,sk0_0(V,U)))),
% 3.76/0.85 inference(skolemization,[status(esa)],[f65])).
% 3.76/0.85 fof(f67,plain,(
% 3.76/0.85 ![X0,X1]: (~contains_slb(X0,X1)|pair_in_list(X0,X1,sk0_0(X1,X0)))),
% 3.76/0.85 inference(cnf_transformation,[status(esa)],[f66])).
% 3.76/0.85 fof(f68,plain,(
% 3.76/0.85 ![U,V,W,X]: (((~pair_in_list(U,V,W)|~strictly_less_than(V,X))|~strictly_less_than(W,X))|pair_in_list(update_slb(U,X),V,X))),
% 3.76/0.85 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 3.76/0.85 fof(f69,plain,(
% 3.76/0.85 ![U,V,X]: ((![W]: ((~pair_in_list(U,V,W)|~strictly_less_than(V,X))|~strictly_less_than(W,X)))|pair_in_list(update_slb(U,X),V,X))),
% 3.76/0.85 inference(miniscoping,[status(esa)],[f68])).
% 3.76/0.85 fof(f70,plain,(
% 3.76/0.85 ![X0,X1,X2,X3]: (~pair_in_list(X0,X1,X2)|~strictly_less_than(X1,X3)|~strictly_less_than(X2,X3)|pair_in_list(update_slb(X0,X3),X1,X3))),
% 3.76/0.85 inference(cnf_transformation,[status(esa)],[f69])).
% 3.76/0.85 fof(f71,plain,(
% 3.76/0.85 ![U,V,W,X]: (((~pair_in_list(U,V,W)|~strictly_less_than(V,X))|~less_than(X,W))|(?[Y]: (pair_in_list(update_slb(U,X),V,Y)&less_than(X,Y))))),
% 3.76/0.85 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 3.76/0.85 fof(f72,plain,(
% 3.76/0.85 ![U,V,X]: ((![W]: ((~pair_in_list(U,V,W)|~strictly_less_than(V,X))|~less_than(X,W)))|(?[Y]: (pair_in_list(update_slb(U,X),V,Y)&less_than(X,Y))))),
% 3.76/0.85 inference(miniscoping,[status(esa)],[f71])).
% 3.76/0.85 fof(f73,plain,(
% 3.76/0.85 ![U,V,X]: ((![W]: ((~pair_in_list(U,V,W)|~strictly_less_than(V,X))|~less_than(X,W)))|(pair_in_list(update_slb(U,X),V,sk0_1(X,V,U))&less_than(X,sk0_1(X,V,U))))),
% 3.76/0.85 inference(skolemization,[status(esa)],[f72])).
% 3.76/0.85 fof(f74,plain,(
% 3.76/0.85 ![X0,X1,X2,X3]: (~pair_in_list(X0,X1,X2)|~strictly_less_than(X1,X3)|~less_than(X3,X2)|pair_in_list(update_slb(X0,X3),X1,sk0_1(X3,X1,X0)))),
% 3.76/0.85 inference(cnf_transformation,[status(esa)],[f73])).
% 3.76/0.85 fof(f75,plain,(
% 3.76/0.85 ![X0,X1,X2,X3]: (~pair_in_list(X0,X1,X2)|~strictly_less_than(X1,X3)|~less_than(X3,X2)|less_than(X3,sk0_1(X3,X1,X0)))),
% 3.76/0.85 inference(cnf_transformation,[status(esa)],[f73])).
% 3.76/0.85 fof(f76,plain,(
% 3.76/0.85 (?[U,V,W]: ((contains_slb(U,V)&strictly_less_than(V,W))&(~pair_in_list(update_slb(U,W),V,W)&(![X]: (~pair_in_list(update_slb(U,W),V,X)|~less_than(W,X))))))),
% 3.76/0.85 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 3.76/0.85 fof(f77,plain,(
% 3.76/0.85 ((contains_slb(sk0_2,sk0_3)&strictly_less_than(sk0_3,sk0_4))&(~pair_in_list(update_slb(sk0_2,sk0_4),sk0_3,sk0_4)&(![X]: (~pair_in_list(update_slb(sk0_2,sk0_4),sk0_3,X)|~less_than(sk0_4,X)))))),
% 3.76/0.85 inference(skolemization,[status(esa)],[f76])).
% 3.76/0.85 fof(f78,plain,(
% 3.76/0.85 contains_slb(sk0_2,sk0_3)),
% 3.76/0.85 inference(cnf_transformation,[status(esa)],[f77])).
% 3.76/0.85 fof(f79,plain,(
% 3.76/0.85 strictly_less_than(sk0_3,sk0_4)),
% 3.76/0.85 inference(cnf_transformation,[status(esa)],[f77])).
% 3.76/0.85 fof(f80,plain,(
% 3.76/0.85 ~pair_in_list(update_slb(sk0_2,sk0_4),sk0_3,sk0_4)),
% 3.76/0.85 inference(cnf_transformation,[status(esa)],[f77])).
% 3.76/0.85 fof(f81,plain,(
% 3.76/0.85 ![X0]: (~pair_in_list(update_slb(sk0_2,sk0_4),sk0_3,X0)|~less_than(sk0_4,X0))),
% 3.76/0.85 inference(cnf_transformation,[status(esa)],[f77])).
% 3.76/0.85 fof(f83,plain,(
% 3.76/0.85 ![X0,X1,X2]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X1,X2))),
% 3.76/0.85 inference(destructive_equality_resolution,[status(esa)],[f49])).
% 3.76/0.85 fof(f85,plain,(
% 3.76/0.85 ~less_than(sk0_4,sk0_3)),
% 3.76/0.85 inference(resolution,[status(thm)],[f32,f79])).
% 3.76/0.85 fof(f100,plain,(
% 3.76/0.85 ![X0,X1]: (strictly_less_than(X0,X1)|less_than(X1,X0))),
% 3.76/0.85 inference(forward_subsumption_resolution,[status(thm)],[f33,f27])).
% 3.76/0.85 fof(f126,plain,(
% 3.76/0.85 ![X0,X1,X2,X3]: (pair_in_list(X0,X1,sk0_0(X1,insert_slb(X0,pair(X2,X3))))|X2=X1|~contains_slb(insert_slb(X0,pair(X2,X3)),X1))),
% 3.76/0.85 inference(resolution,[status(thm)],[f46,f67])).
% 3.76/0.85 fof(f462,plain,(
% 3.76/0.85 ![X0,X1]: (~pair_in_list(X0,X1,sk0_3)|~strictly_less_than(X1,sk0_4)|pair_in_list(update_slb(X0,sk0_4),X1,sk0_4))),
% 3.76/0.85 inference(resolution,[status(thm)],[f70,f79])).
% 3.76/0.85 fof(f463,plain,(
% 3.76/0.85 ![X0,X1,X2,X3]: (~pair_in_list(X0,X1,X2)|~strictly_less_than(X1,X3)|pair_in_list(update_slb(X0,X3),X1,X3)|less_than(X3,X2))),
% 3.76/0.85 inference(resolution,[status(thm)],[f70,f100])).
% 3.76/0.85 fof(f464,plain,(
% 3.76/0.85 ![X0]: (~pair_in_list(X0,sk0_3,sk0_3)|pair_in_list(update_slb(X0,sk0_4),sk0_3,sk0_4))),
% 3.76/0.85 inference(resolution,[status(thm)],[f462,f79])).
% 3.76/0.85 fof(f467,plain,(
% 3.76/0.85 ![X0]: (pair_in_list(update_slb(insert_slb(X0,pair(sk0_3,sk0_3)),sk0_4),sk0_3,sk0_4))),
% 3.76/0.85 inference(resolution,[status(thm)],[f464,f83])).
% 3.76/0.85 fof(f468,plain,(
% 3.76/0.85 ![X0,X1]: (~pair_in_list(X0,sk0_3,X1)|pair_in_list(update_slb(X0,sk0_4),sk0_3,sk0_4)|less_than(sk0_4,X1))),
% 3.76/0.85 inference(resolution,[status(thm)],[f463,f79])).
% 3.76/0.85 fof(f477,plain,(
% 3.76/0.85 ![X0]: (~pair_in_list(sk0_2,sk0_3,X0)|less_than(sk0_4,X0))),
% 3.76/0.85 inference(resolution,[status(thm)],[f468,f80])).
% 3.76/0.85 fof(f481,plain,(
% 3.76/0.85 spl0_23 <=> less_than(sk0_4,sk0_4)),
% 3.76/0.85 introduced(split_symbol_definition)).
% 3.76/0.85 fof(f483,plain,(
% 3.76/0.85 ~less_than(sk0_4,sk0_4)|spl0_23),
% 3.76/0.85 inference(component_clause,[status(thm)],[f481])).
% 3.76/0.85 fof(f496,plain,(
% 3.76/0.85 $false|spl0_23),
% 3.76/0.85 inference(forward_subsumption_resolution,[status(thm)],[f483,f28])).
% 3.76/0.85 fof(f497,plain,(
% 3.76/0.85 spl0_23),
% 3.76/0.85 inference(contradiction_clause,[status(thm)],[f496])).
% 3.76/0.85 fof(f501,plain,(
% 3.76/0.85 spl0_27 <=> contains_slb(sk0_2,sk0_3)),
% 3.76/0.85 introduced(split_symbol_definition)).
% 3.76/0.85 fof(f503,plain,(
% 3.76/0.85 ~contains_slb(sk0_2,sk0_3)|spl0_27),
% 3.76/0.85 inference(component_clause,[status(thm)],[f501])).
% 3.76/0.85 fof(f506,plain,(
% 3.76/0.85 $false|spl0_27),
% 3.76/0.85 inference(forward_subsumption_resolution,[status(thm)],[f503,f78])).
% 3.76/0.85 fof(f507,plain,(
% 3.76/0.85 spl0_27),
% 3.76/0.85 inference(contradiction_clause,[status(thm)],[f506])).
% 3.76/0.85 fof(f508,plain,(
% 3.76/0.85 ![X0,X1]: (update_slb(insert_slb(X0,pair(X1,sk0_3)),sk0_4)=insert_slb(update_slb(X0,sk0_4),pair(X1,sk0_4)))),
% 3.76/0.85 inference(resolution,[status(thm)],[f61,f79])).
% 3.76/0.85 fof(f530,plain,(
% 3.76/0.85 ![X0,X1]: (~pair_in_list(X0,sk0_3,X1)|~less_than(sk0_4,X1)|less_than(sk0_4,sk0_1(sk0_4,sk0_3,X0)))),
% 3.76/0.85 inference(resolution,[status(thm)],[f75,f79])).
% 3.76/0.85 fof(f554,plain,(
% 3.76/0.85 spl0_30 <=> less_than(sk0_4,sk0_1(sk0_4,sk0_3,update_slb(insert_slb(X0,pair(sk0_3,sk0_3)),sk0_4)))),
% 3.76/0.85 introduced(split_symbol_definition)).
% 3.76/0.85 fof(f555,plain,(
% 3.76/0.85 ![X0]: (less_than(sk0_4,sk0_1(sk0_4,sk0_3,update_slb(insert_slb(X0,pair(sk0_3,sk0_3)),sk0_4)))|~spl0_30)),
% 3.76/0.85 inference(component_clause,[status(thm)],[f554])).
% 3.76/0.85 fof(f557,plain,(
% 3.76/0.85 ![X0]: (~less_than(sk0_4,sk0_4)|less_than(sk0_4,sk0_1(sk0_4,sk0_3,update_slb(insert_slb(X0,pair(sk0_3,sk0_3)),sk0_4))))),
% 3.76/0.85 inference(resolution,[status(thm)],[f530,f467])).
% 3.76/0.85 fof(f558,plain,(
% 3.76/0.85 ~spl0_23|spl0_30),
% 3.76/0.85 inference(split_clause,[status(thm)],[f557,f481,f554])).
% 3.76/0.85 fof(f599,plain,(
% 3.76/0.85 ![X0,X1,X2,X3]: (pair_in_list(X0,X1,sk0_0(X1,insert_slb(X0,pair(X2,X3))))|X2=X1|~contains_slb(X0,X1))),
% 3.76/0.85 inference(resolution,[status(thm)],[f126,f41])).
% 3.76/0.85 fof(f1071,plain,(
% 3.76/0.85 ![X0]: (less_than(sk0_4,sk0_1(sk0_4,sk0_3,insert_slb(update_slb(X0,sk0_4),pair(sk0_3,sk0_4))))|~spl0_30)),
% 3.76/0.85 inference(backward_demodulation,[status(thm)],[f508,f555])).
% 3.76/0.85 fof(f1927,plain,(
% 3.76/0.85 ![X0,X1]: (pair_in_list(sk0_2,sk0_3,sk0_0(sk0_3,insert_slb(sk0_2,pair(X0,X1))))|X0=sk0_3)),
% 3.76/0.85 inference(resolution,[status(thm)],[f599,f78])).
% 3.76/0.85 fof(f1928,plain,(
% 3.76/0.85 ![X0,X1]: (X0=sk0_3|less_than(sk0_4,sk0_0(sk0_3,insert_slb(sk0_2,pair(X0,X1)))))),
% 3.76/0.85 inference(resolution,[status(thm)],[f1927,f477])).
% 3.76/0.85 fof(f1937,plain,(
% 3.76/0.85 spl0_128 <=> X0=sk0_3|~less_than(sk0_4,sk0_0(sk0_3,insert_slb(sk0_2,pair(X0,X1))))),
% 3.76/0.86 introduced(split_symbol_definition)).
% 3.76/0.86 fof(f1938,plain,(
% 3.76/0.86 ![X0,X1]: (X0=sk0_3|~less_than(sk0_4,sk0_0(sk0_3,insert_slb(sk0_2,pair(X0,X1))))|~spl0_128)),
% 3.76/0.86 inference(component_clause,[status(thm)],[f1937])).
% 3.76/0.86 fof(f1940,plain,(
% 3.76/0.86 spl0_129 <=> less_than(sk0_4,sk0_1(sk0_4,sk0_3,sk0_2))),
% 3.76/0.86 introduced(split_symbol_definition)).
% 3.76/0.86 fof(f1943,plain,(
% 3.76/0.86 ![X0,X1]: (X0=sk0_3|~less_than(sk0_4,sk0_0(sk0_3,insert_slb(sk0_2,pair(X0,X1))))|less_than(sk0_4,sk0_1(sk0_4,sk0_3,sk0_2)))),
% 3.76/0.86 inference(resolution,[status(thm)],[f1927,f530])).
% 3.76/0.86 fof(f1944,plain,(
% 3.76/0.86 spl0_128|spl0_129),
% 3.76/0.86 inference(split_clause,[status(thm)],[f1943,f1937,f1940])).
% 3.76/0.86 fof(f2612,plain,(
% 3.76/0.86 ![X0]: (X0=sk0_3|~spl0_128)),
% 3.76/0.86 inference(forward_subsumption_resolution,[status(thm)],[f1938,f1928])).
% 3.76/0.86 fof(f2646,plain,(
% 3.76/0.86 ![X0]: (~less_than(sk0_4,X0)|~spl0_128)),
% 3.76/0.86 inference(paramodulation,[status(thm)],[f2612,f85])).
% 3.76/0.86 fof(f2734,plain,(
% 3.76/0.86 spl0_179 <=> ~pair_in_list(sk0_2,sk0_3,X0)|~less_than(sk0_4,X0)),
% 3.76/0.86 introduced(split_symbol_definition)).
% 3.76/0.86 fof(f2735,plain,(
% 3.76/0.86 ![X0]: (~pair_in_list(sk0_2,sk0_3,X0)|~less_than(sk0_4,X0)|~spl0_179)),
% 3.76/0.86 inference(component_clause,[status(thm)],[f2734])).
% 3.76/0.86 fof(f2737,plain,(
% 3.76/0.86 spl0_180 <=> strictly_less_than(sk0_3,sk0_4)),
% 3.76/0.86 introduced(split_symbol_definition)).
% 3.76/0.86 fof(f2739,plain,(
% 3.76/0.86 ~strictly_less_than(sk0_3,sk0_4)|spl0_180),
% 3.76/0.86 inference(component_clause,[status(thm)],[f2737])).
% 3.76/0.86 fof(f2740,plain,(
% 3.76/0.86 ![X0]: (~pair_in_list(sk0_2,sk0_3,X0)|~strictly_less_than(sk0_3,sk0_4)|~less_than(sk0_4,X0)|~less_than(sk0_4,sk0_1(sk0_4,sk0_3,sk0_2)))),
% 3.76/0.86 inference(resolution,[status(thm)],[f74,f81])).
% 3.76/0.86 fof(f2741,plain,(
% 3.76/0.86 spl0_179|~spl0_180|~spl0_129),
% 3.76/0.86 inference(split_clause,[status(thm)],[f2740,f2734,f2737,f1940])).
% 3.76/0.86 fof(f2743,plain,(
% 3.76/0.86 $false|spl0_180),
% 3.76/0.86 inference(forward_subsumption_resolution,[status(thm)],[f2739,f79])).
% 3.76/0.86 fof(f2744,plain,(
% 3.76/0.86 spl0_180),
% 3.76/0.86 inference(contradiction_clause,[status(thm)],[f2743])).
% 3.76/0.86 fof(f2745,plain,(
% 3.76/0.86 ![X0]: (~pair_in_list(sk0_2,sk0_3,X0)|~spl0_179)),
% 3.76/0.86 inference(forward_subsumption_resolution,[status(thm)],[f2735,f477])).
% 3.76/0.86 fof(f2748,plain,(
% 3.76/0.86 ~contains_slb(sk0_2,sk0_3)|~spl0_179),
% 3.76/0.86 inference(resolution,[status(thm)],[f2745,f67])).
% 3.76/0.86 fof(f2749,plain,(
% 3.76/0.86 ~spl0_27|~spl0_179),
% 3.76/0.86 inference(split_clause,[status(thm)],[f2748,f501,f2734])).
% 3.76/0.86 fof(f2761,plain,(
% 3.76/0.86 $false|~spl0_128|~spl0_30),
% 3.76/0.86 inference(backward_subsumption_resolution,[status(thm)],[f1071,f2646])).
% 3.76/0.86 fof(f2762,plain,(
% 3.76/0.86 ~spl0_128|~spl0_30),
% 3.76/0.86 inference(contradiction_clause,[status(thm)],[f2761])).
% 3.76/0.86 fof(f2763,plain,(
% 3.76/0.86 $false),
% 3.76/0.86 inference(sat_refutation,[status(thm)],[f497,f507,f558,f1944,f2741,f2744,f2749,f2762])).
% 3.76/0.86 % SZS output end CNFRefutation for theBenchmark.p
% 3.76/0.88 % Elapsed time: 0.514700 seconds
% 3.76/0.88 % CPU time: 3.885232 seconds
% 3.76/0.88 % Total memory used: 74.504 MB
% 3.76/0.88 % Net memory used: 71.898 MB
%------------------------------------------------------------------------------