TSTP Solution File: SEU304+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU304+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:36:38 EDT 2023
% Result : Theorem 0.15s 0.54s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SEU304+2 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.31 % CPULimit : 300
% 0.15/0.31 % WCLimit : 300
% 0.15/0.31 % DateTime : Tue May 30 09:26:12 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.35 % Drodi V3.5.1
% 0.15/0.54 % Refutation found
% 0.15/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.54 fof(f20,axiom,(
% 0.15/0.54 (! [A,B,C] :( ( ~ empty_carrier(A)& meet_commutative(A)& meet_semilatt_str(A)& element(B,the_carrier(A))& element(C,the_carrier(A)) )=> meet_commut(A,B,C) = meet_commut(A,C,B) ) )),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f58,axiom,(
% 0.15/0.54 (! [A] :( ( ~ empty_carrier(A)& join_semilatt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> ( below(A,B,C)<=> join(A,B,C) = C ) ) )) )) )),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f87,axiom,(
% 0.15/0.54 (! [A] :( ( ~ empty_carrier(A)& latt_str(A) )=> ( meet_absorbing(A)<=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> join(A,meet(A,B,C),C) = C ) )) )) ) )),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f122,axiom,(
% 0.15/0.54 (! [A,B,C] :( ( ~ empty_carrier(A)& meet_commutative(A)& meet_semilatt_str(A)& element(B,the_carrier(A))& element(C,the_carrier(A)) )=> element(meet_commut(A,B,C),the_carrier(A)) ) )),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f141,axiom,(
% 0.15/0.54 (! [A] :( latt_str(A)=> ( meet_semilatt_str(A)& join_semilatt_str(A) ) ) )),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f245,axiom,(
% 0.15/0.54 (! [A,B,C] :( ( ~ empty_carrier(A)& meet_commutative(A)& meet_semilatt_str(A)& element(B,the_carrier(A))& element(C,the_carrier(A)) )=> meet_commut(A,B,C) = meet(A,B,C) ) )),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f339,conjecture,(
% 0.15/0.54 (! [A] :( ( ~ empty_carrier(A)& meet_commutative(A)& meet_absorbing(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> below(A,meet_commut(A,B,C),B) ) )) )) )),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f340,negated_conjecture,(
% 0.15/0.54 ~((! [A] :( ( ~ empty_carrier(A)& meet_commutative(A)& meet_absorbing(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> below(A,meet_commut(A,B,C),B) ) )) )) ))),
% 0.15/0.54 inference(negated_conjecture,[status(cth)],[f339])).
% 0.15/0.54 fof(f502,plain,(
% 0.15/0.54 ![A,B,C]: (((((empty_carrier(A)|~meet_commutative(A))|~meet_semilatt_str(A))|~element(B,the_carrier(A)))|~element(C,the_carrier(A)))|meet_commut(A,B,C)=meet_commut(A,C,B))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.15/0.54 fof(f503,plain,(
% 0.15/0.54 ![X0,X1,X2]: (empty_carrier(X0)|~meet_commutative(X0)|~meet_semilatt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|meet_commut(X0,X1,X2)=meet_commut(X0,X2,X1))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f502])).
% 0.15/0.54 fof(f773,plain,(
% 0.15/0.54 ![A]: ((empty_carrier(A)|~join_semilatt_str(A))|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|(below(A,B,C)<=>join(A,B,C)=C))))))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 0.15/0.54 fof(f774,plain,(
% 0.15/0.54 ![A]: ((empty_carrier(A)|~join_semilatt_str(A))|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|((~below(A,B,C)|join(A,B,C)=C)&(below(A,B,C)|~join(A,B,C)=C)))))))),
% 0.15/0.54 inference(NNF_transformation,[status(esa)],[f773])).
% 0.15/0.54 fof(f776,plain,(
% 0.15/0.54 ![X0,X1,X2]: (empty_carrier(X0)|~join_semilatt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|below(X0,X1,X2)|~join(X0,X1,X2)=X2)),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f774])).
% 0.15/0.54 fof(f977,plain,(
% 0.15/0.54 ![A]: ((empty_carrier(A)|~latt_str(A))|(meet_absorbing(A)<=>(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|join(A,meet(A,B,C),C)=C))))))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(esa)],[f87])).
% 0.15/0.54 fof(f978,plain,(
% 0.15/0.54 ![A]: ((empty_carrier(A)|~latt_str(A))|((~meet_absorbing(A)|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|join(A,meet(A,B,C),C)=C)))))&(meet_absorbing(A)|(?[B]: (element(B,the_carrier(A))&(?[C]: (element(C,the_carrier(A))&~join(A,meet(A,B,C),C)=C)))))))),
% 0.15/0.54 inference(NNF_transformation,[status(esa)],[f977])).
% 0.15/0.54 fof(f979,plain,(
% 0.15/0.54 ![A]: ((empty_carrier(A)|~latt_str(A))|((~meet_absorbing(A)|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|join(A,meet(A,B,C),C)=C)))))&(meet_absorbing(A)|(element(sk0_83(A),the_carrier(A))&(element(sk0_84(A),the_carrier(A))&~join(A,meet(A,sk0_83(A),sk0_84(A)),sk0_84(A))=sk0_84(A))))))),
% 0.15/0.54 inference(skolemization,[status(esa)],[f978])).
% 0.15/0.54 fof(f980,plain,(
% 0.15/0.54 ![X0,X1,X2]: (empty_carrier(X0)|~latt_str(X0)|~meet_absorbing(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|join(X0,meet(X0,X1,X2),X2)=X2)),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f979])).
% 0.15/0.54 fof(f1040,plain,(
% 0.15/0.54 ![A,B,C]: (((((empty_carrier(A)|~meet_commutative(A))|~meet_semilatt_str(A))|~element(B,the_carrier(A)))|~element(C,the_carrier(A)))|element(meet_commut(A,B,C),the_carrier(A)))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(esa)],[f122])).
% 0.15/0.54 fof(f1041,plain,(
% 0.15/0.54 ![X0,X1,X2]: (empty_carrier(X0)|~meet_commutative(X0)|~meet_semilatt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|element(meet_commut(X0,X1,X2),the_carrier(X0)))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f1040])).
% 0.15/0.54 fof(f1069,plain,(
% 0.15/0.54 ![A]: (~latt_str(A)|(meet_semilatt_str(A)&join_semilatt_str(A)))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(esa)],[f141])).
% 0.15/0.54 fof(f1070,plain,(
% 0.15/0.54 ![X0]: (~latt_str(X0)|meet_semilatt_str(X0))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f1069])).
% 0.15/0.54 fof(f1071,plain,(
% 0.15/0.54 ![X0]: (~latt_str(X0)|join_semilatt_str(X0))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f1069])).
% 0.15/0.54 fof(f1408,plain,(
% 0.15/0.54 ![A,B,C]: (((((empty_carrier(A)|~meet_commutative(A))|~meet_semilatt_str(A))|~element(B,the_carrier(A)))|~element(C,the_carrier(A)))|meet_commut(A,B,C)=meet(A,B,C))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(esa)],[f245])).
% 0.15/0.54 fof(f1409,plain,(
% 0.15/0.54 ![X0,X1,X2]: (empty_carrier(X0)|~meet_commutative(X0)|~meet_semilatt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|meet_commut(X0,X1,X2)=meet(X0,X1,X2))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f1408])).
% 0.15/0.54 fof(f1918,plain,(
% 0.15/0.54 (?[A]: ((((~empty_carrier(A)&meet_commutative(A))&meet_absorbing(A))&latt_str(A))&(?[B]: (element(B,the_carrier(A))&(?[C]: (element(C,the_carrier(A))&~below(A,meet_commut(A,B,C),B)))))))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(esa)],[f340])).
% 0.15/0.54 fof(f1919,plain,(
% 0.15/0.54 ((((~empty_carrier(sk0_254)&meet_commutative(sk0_254))&meet_absorbing(sk0_254))&latt_str(sk0_254))&(element(sk0_255,the_carrier(sk0_254))&(element(sk0_256,the_carrier(sk0_254))&~below(sk0_254,meet_commut(sk0_254,sk0_255,sk0_256),sk0_255))))),
% 0.15/0.54 inference(skolemization,[status(esa)],[f1918])).
% 0.15/0.54 fof(f1920,plain,(
% 0.15/0.54 ~empty_carrier(sk0_254)),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f1919])).
% 0.15/0.54 fof(f1921,plain,(
% 0.15/0.54 meet_commutative(sk0_254)),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f1919])).
% 0.15/0.54 fof(f1922,plain,(
% 0.15/0.54 meet_absorbing(sk0_254)),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f1919])).
% 0.15/0.54 fof(f1923,plain,(
% 0.15/0.54 latt_str(sk0_254)),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f1919])).
% 0.15/0.54 fof(f1924,plain,(
% 0.15/0.54 element(sk0_255,the_carrier(sk0_254))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f1919])).
% 0.15/0.54 fof(f1925,plain,(
% 0.15/0.54 element(sk0_256,the_carrier(sk0_254))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f1919])).
% 0.15/0.54 fof(f1926,plain,(
% 0.15/0.54 ~below(sk0_254,meet_commut(sk0_254,sk0_255,sk0_256),sk0_255)),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f1919])).
% 0.15/0.54 fof(f2750,plain,(
% 0.15/0.54 meet_semilatt_str(sk0_254)),
% 0.15/0.54 inference(resolution,[status(thm)],[f1070,f1923])).
% 0.15/0.54 fof(f2751,plain,(
% 0.15/0.54 join_semilatt_str(sk0_254)),
% 0.15/0.54 inference(resolution,[status(thm)],[f1071,f1923])).
% 0.15/0.54 fof(f2765,plain,(
% 0.15/0.54 spl0_51 <=> empty_carrier(sk0_254)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2766,plain,(
% 0.15/0.54 empty_carrier(sk0_254)|~spl0_51),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2765])).
% 0.15/0.54 fof(f2768,plain,(
% 0.15/0.54 spl0_52 <=> meet_commutative(sk0_254)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2770,plain,(
% 0.15/0.54 ~meet_commutative(sk0_254)|spl0_52),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2768])).
% 0.15/0.54 fof(f2771,plain,(
% 0.15/0.54 spl0_53 <=> meet_semilatt_str(sk0_254)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2773,plain,(
% 0.15/0.54 ~meet_semilatt_str(sk0_254)|spl0_53),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2771])).
% 0.15/0.54 fof(f2774,plain,(
% 0.15/0.54 spl0_54 <=> ~element(X0,the_carrier(sk0_254))|meet_commut(sk0_254,X0,sk0_256)=meet_commut(sk0_254,sk0_256,X0)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2775,plain,(
% 0.15/0.54 ![X0]: (~element(X0,the_carrier(sk0_254))|meet_commut(sk0_254,X0,sk0_256)=meet_commut(sk0_254,sk0_256,X0)|~spl0_54)),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2774])).
% 0.15/0.54 fof(f2777,plain,(
% 0.15/0.54 ![X0]: (empty_carrier(sk0_254)|~meet_commutative(sk0_254)|~meet_semilatt_str(sk0_254)|~element(X0,the_carrier(sk0_254))|meet_commut(sk0_254,X0,sk0_256)=meet_commut(sk0_254,sk0_256,X0))),
% 0.15/0.54 inference(resolution,[status(thm)],[f503,f1925])).
% 0.15/0.54 fof(f2778,plain,(
% 0.15/0.54 spl0_51|~spl0_52|~spl0_53|spl0_54),
% 0.15/0.54 inference(split_clause,[status(thm)],[f2777,f2765,f2768,f2771,f2774])).
% 0.15/0.54 fof(f2784,plain,(
% 0.15/0.54 $false|spl0_53),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f2773,f2750])).
% 0.15/0.54 fof(f2785,plain,(
% 0.15/0.54 spl0_53),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f2784])).
% 0.15/0.54 fof(f2786,plain,(
% 0.15/0.54 $false|spl0_52),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f2770,f1921])).
% 0.15/0.54 fof(f2787,plain,(
% 0.15/0.54 spl0_52),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f2786])).
% 0.15/0.54 fof(f2788,plain,(
% 0.15/0.54 $false|~spl0_51),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f2766,f1920])).
% 0.15/0.54 fof(f2789,plain,(
% 0.15/0.54 ~spl0_51),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f2788])).
% 0.15/0.54 fof(f2802,plain,(
% 0.15/0.54 meet_commut(sk0_254,sk0_255,sk0_256)=meet_commut(sk0_254,sk0_256,sk0_255)|~spl0_54),
% 0.15/0.54 inference(resolution,[status(thm)],[f2775,f1924])).
% 0.15/0.54 fof(f2804,plain,(
% 0.15/0.54 spl0_58 <=> latt_str(sk0_254)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2806,plain,(
% 0.15/0.54 ~latt_str(sk0_254)|spl0_58),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2804])).
% 0.15/0.54 fof(f2807,plain,(
% 0.15/0.54 spl0_59 <=> meet_absorbing(sk0_254)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2809,plain,(
% 0.15/0.54 ~meet_absorbing(sk0_254)|spl0_59),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2807])).
% 0.15/0.54 fof(f2815,plain,(
% 0.15/0.54 spl0_61 <=> ~element(X0,the_carrier(sk0_254))|join(sk0_254,meet(sk0_254,X0,sk0_255),sk0_255)=sk0_255),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2816,plain,(
% 0.15/0.54 ![X0]: (~element(X0,the_carrier(sk0_254))|join(sk0_254,meet(sk0_254,X0,sk0_255),sk0_255)=sk0_255|~spl0_61)),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2815])).
% 0.15/0.54 fof(f2818,plain,(
% 0.15/0.54 ![X0]: (empty_carrier(sk0_254)|~latt_str(sk0_254)|~meet_absorbing(sk0_254)|~element(X0,the_carrier(sk0_254))|join(sk0_254,meet(sk0_254,X0,sk0_255),sk0_255)=sk0_255)),
% 0.15/0.54 inference(resolution,[status(thm)],[f980,f1924])).
% 0.15/0.54 fof(f2819,plain,(
% 0.15/0.54 spl0_51|~spl0_58|~spl0_59|spl0_61),
% 0.15/0.54 inference(split_clause,[status(thm)],[f2818,f2765,f2804,f2807,f2815])).
% 0.15/0.54 fof(f2820,plain,(
% 0.15/0.54 $false|spl0_59),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f2809,f1922])).
% 0.15/0.54 fof(f2821,plain,(
% 0.15/0.54 spl0_59),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f2820])).
% 0.15/0.54 fof(f2822,plain,(
% 0.15/0.54 $false|spl0_58),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f2806,f1923])).
% 0.15/0.54 fof(f2823,plain,(
% 0.15/0.54 spl0_58),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f2822])).
% 0.15/0.54 fof(f2826,plain,(
% 0.15/0.54 join(sk0_254,meet(sk0_254,sk0_256,sk0_255),sk0_255)=sk0_255|~spl0_61),
% 0.15/0.54 inference(resolution,[status(thm)],[f2816,f1925])).
% 0.15/0.54 fof(f2828,plain,(
% 0.15/0.54 spl0_62 <=> join_semilatt_str(sk0_254)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2830,plain,(
% 0.15/0.54 ~join_semilatt_str(sk0_254)|spl0_62),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2828])).
% 0.15/0.54 fof(f2859,plain,(
% 0.15/0.54 spl0_69 <=> element(meet(sk0_254,sk0_256,sk0_255),the_carrier(sk0_254))),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2861,plain,(
% 0.15/0.54 ~element(meet(sk0_254,sk0_256,sk0_255),the_carrier(sk0_254))|spl0_69),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2859])).
% 0.15/0.54 fof(f2862,plain,(
% 0.15/0.54 spl0_70 <=> element(sk0_255,the_carrier(sk0_254))),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2864,plain,(
% 0.15/0.54 ~element(sk0_255,the_carrier(sk0_254))|spl0_70),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2862])).
% 0.15/0.54 fof(f2865,plain,(
% 0.15/0.54 spl0_71 <=> below(sk0_254,meet(sk0_254,sk0_256,sk0_255),sk0_255)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2866,plain,(
% 0.15/0.54 below(sk0_254,meet(sk0_254,sk0_256,sk0_255),sk0_255)|~spl0_71),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2865])).
% 0.15/0.54 fof(f2868,plain,(
% 0.15/0.54 empty_carrier(sk0_254)|~join_semilatt_str(sk0_254)|~element(meet(sk0_254,sk0_256,sk0_255),the_carrier(sk0_254))|~element(sk0_255,the_carrier(sk0_254))|below(sk0_254,meet(sk0_254,sk0_256,sk0_255),sk0_255)|~spl0_61),
% 0.15/0.54 inference(resolution,[status(thm)],[f2826,f776])).
% 0.15/0.54 fof(f2869,plain,(
% 0.15/0.54 spl0_51|~spl0_62|~spl0_69|~spl0_70|spl0_71|~spl0_61),
% 0.15/0.54 inference(split_clause,[status(thm)],[f2868,f2765,f2828,f2859,f2862,f2865,f2815])).
% 0.15/0.54 fof(f2875,plain,(
% 0.15/0.54 $false|spl0_70),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f2864,f1924])).
% 0.15/0.54 fof(f2876,plain,(
% 0.15/0.54 spl0_70),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f2875])).
% 0.15/0.54 fof(f2887,plain,(
% 0.15/0.54 spl0_75 <=> ~element(X0,the_carrier(sk0_254))|element(meet_commut(sk0_254,sk0_256,X0),the_carrier(sk0_254))),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2888,plain,(
% 0.15/0.54 ![X0]: (~element(X0,the_carrier(sk0_254))|element(meet_commut(sk0_254,sk0_256,X0),the_carrier(sk0_254))|~spl0_75)),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2887])).
% 0.15/0.54 fof(f2890,plain,(
% 0.15/0.54 ![X0]: (empty_carrier(sk0_254)|~meet_commutative(sk0_254)|~meet_semilatt_str(sk0_254)|~element(X0,the_carrier(sk0_254))|element(meet_commut(sk0_254,sk0_256,X0),the_carrier(sk0_254)))),
% 0.15/0.54 inference(resolution,[status(thm)],[f1041,f1925])).
% 0.15/0.54 fof(f2891,plain,(
% 0.15/0.54 spl0_51|~spl0_52|~spl0_53|spl0_75),
% 0.15/0.54 inference(split_clause,[status(thm)],[f2890,f2765,f2768,f2771,f2887])).
% 0.15/0.54 fof(f2898,plain,(
% 0.15/0.54 element(meet_commut(sk0_254,sk0_256,sk0_255),the_carrier(sk0_254))|~spl0_75),
% 0.15/0.54 inference(resolution,[status(thm)],[f2888,f1924])).
% 0.15/0.54 fof(f2899,plain,(
% 0.15/0.54 element(meet_commut(sk0_254,sk0_255,sk0_256),the_carrier(sk0_254))|~spl0_54|~spl0_75),
% 0.15/0.54 inference(forward_demodulation,[status(thm)],[f2802,f2898])).
% 0.15/0.54 fof(f3106,plain,(
% 0.15/0.54 spl0_112 <=> ~element(X0,the_carrier(sk0_254))|meet_commut(sk0_254,X0,sk0_255)=meet(sk0_254,X0,sk0_255)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f3107,plain,(
% 0.15/0.54 ![X0]: (~element(X0,the_carrier(sk0_254))|meet_commut(sk0_254,X0,sk0_255)=meet(sk0_254,X0,sk0_255)|~spl0_112)),
% 0.15/0.54 inference(component_clause,[status(thm)],[f3106])).
% 0.15/0.54 fof(f3109,plain,(
% 0.15/0.54 ![X0]: (empty_carrier(sk0_254)|~meet_commutative(sk0_254)|~meet_semilatt_str(sk0_254)|~element(X0,the_carrier(sk0_254))|meet_commut(sk0_254,X0,sk0_255)=meet(sk0_254,X0,sk0_255))),
% 0.15/0.54 inference(resolution,[status(thm)],[f1409,f1924])).
% 0.15/0.54 fof(f3110,plain,(
% 0.15/0.54 spl0_51|~spl0_52|~spl0_53|spl0_112),
% 0.15/0.54 inference(split_clause,[status(thm)],[f3109,f2765,f2768,f2771,f3106])).
% 0.15/0.54 fof(f3337,plain,(
% 0.15/0.54 $false|spl0_62),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f2830,f2751])).
% 0.15/0.54 fof(f3338,plain,(
% 0.15/0.54 spl0_62),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f3337])).
% 0.15/0.54 fof(f3355,plain,(
% 0.15/0.54 spl0_150 <=> element(meet_commut(sk0_254,sk0_255,sk0_256),the_carrier(sk0_254))),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f3357,plain,(
% 0.15/0.54 ~element(meet_commut(sk0_254,sk0_255,sk0_256),the_carrier(sk0_254))|spl0_150),
% 0.15/0.54 inference(component_clause,[status(thm)],[f3355])).
% 0.15/0.54 fof(f3363,plain,(
% 0.15/0.54 $false|~spl0_54|~spl0_75|spl0_150),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f3357,f2899])).
% 0.15/0.54 fof(f3364,plain,(
% 0.15/0.54 ~spl0_54|~spl0_75|spl0_150),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f3363])).
% 0.15/0.54 fof(f3388,plain,(
% 0.15/0.54 meet_commut(sk0_254,sk0_256,sk0_255)=meet(sk0_254,sk0_256,sk0_255)|~spl0_112),
% 0.15/0.54 inference(resolution,[status(thm)],[f3107,f1925])).
% 0.15/0.54 fof(f3389,plain,(
% 0.15/0.54 meet_commut(sk0_254,sk0_255,sk0_256)=meet(sk0_254,sk0_256,sk0_255)|~spl0_54|~spl0_112),
% 0.15/0.54 inference(forward_demodulation,[status(thm)],[f2802,f3388])).
% 0.15/0.54 fof(f3391,plain,(
% 0.15/0.54 ~element(meet_commut(sk0_254,sk0_255,sk0_256),the_carrier(sk0_254))|~spl0_54|~spl0_112|spl0_69),
% 0.15/0.54 inference(backward_demodulation,[status(thm)],[f3389,f2861])).
% 0.15/0.54 fof(f3392,plain,(
% 0.15/0.54 ~spl0_150|~spl0_54|~spl0_112|spl0_69),
% 0.15/0.54 inference(split_clause,[status(thm)],[f3391,f3355,f2774,f3106,f2859])).
% 0.15/0.54 fof(f3394,plain,(
% 0.15/0.54 below(sk0_254,meet_commut(sk0_254,sk0_255,sk0_256),sk0_255)|~spl0_54|~spl0_112|~spl0_71),
% 0.15/0.54 inference(forward_demodulation,[status(thm)],[f3389,f2866])).
% 0.15/0.54 fof(f3395,plain,(
% 0.88/0.56 $false|~spl0_54|~spl0_112|~spl0_71),
% 0.88/0.56 inference(forward_subsumption_resolution,[status(thm)],[f3394,f1926])).
% 0.88/0.56 fof(f3396,plain,(
% 0.88/0.56 ~spl0_54|~spl0_112|~spl0_71),
% 0.88/0.56 inference(contradiction_clause,[status(thm)],[f3395])).
% 0.88/0.56 fof(f3397,plain,(
% 0.88/0.56 $false),
% 0.88/0.56 inference(sat_refutation,[status(thm)],[f2778,f2785,f2787,f2789,f2819,f2821,f2823,f2869,f2876,f2891,f3110,f3338,f3364,f3392,f3396])).
% 0.88/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.99/0.58 % Elapsed time: 0.251531 seconds
% 0.99/0.58 % CPU time: 1.033652 seconds
% 0.99/0.58 % Memory used: 111.455 MB
%------------------------------------------------------------------------------