TSTP Solution File: SET159+4 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET159+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12:34:09 EDT 2023
% Result : Theorem 0.15s 0.80s
% Output : CNFRefutation 2.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET159+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n027.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
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:39:03 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 0.15/0.80 % Refutation found
% 0.15/0.80 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.80 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.80 fof(f1,axiom,(
% 0.15/0.80 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.15/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.80 fof(f2,axiom,(
% 0.15/0.80 (! [A,B] :( equal_set(A,B)<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.15/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.80 fof(f5,axiom,(
% 0.15/0.80 (! [X,A,B] :( member(X,union(A,B))<=> ( member(X,A)| member(X,B) ) ) )),
% 0.15/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.80 fof(f12,conjecture,(
% 0.15/0.80 (! [A,B,C] : equal_set(union(union(A,B),C),union(A,union(B,C))) )),
% 0.15/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.80 fof(f13,negated_conjecture,(
% 0.15/0.80 ~((! [A,B,C] : equal_set(union(union(A,B),C),union(A,union(B,C))) ))),
% 0.15/0.80 inference(negated_conjecture,[status(cth)],[f12])).
% 0.15/0.80 fof(f14,plain,(
% 0.15/0.80 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.15/0.80 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.15/0.80 fof(f15,plain,(
% 0.15/0.80 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.15/0.80 inference(NNF_transformation,[status(esa)],[f14])).
% 0.15/0.80 fof(f16,plain,(
% 0.15/0.80 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.15/0.80 inference(miniscoping,[status(esa)],[f15])).
% 0.15/0.80 fof(f17,plain,(
% 0.15/0.80 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(member(sk0_0(B,A),A)&~member(sk0_0(B,A),B))))),
% 0.15/0.80 inference(skolemization,[status(esa)],[f16])).
% 0.15/0.80 fof(f19,plain,(
% 0.15/0.80 ![X0,X1]: (subset(X0,X1)|member(sk0_0(X1,X0),X0))),
% 0.15/0.80 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.80 fof(f20,plain,(
% 0.15/0.80 ![X0,X1]: (subset(X0,X1)|~member(sk0_0(X1,X0),X1))),
% 0.15/0.80 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.80 fof(f21,plain,(
% 0.15/0.80 ![A,B]: ((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&(equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.15/0.80 inference(NNF_transformation,[status(esa)],[f2])).
% 0.15/0.80 fof(f22,plain,(
% 0.15/0.80 (![A,B]: (~equal_set(A,B)|(subset(A,B)&subset(B,A))))&(![A,B]: (equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.15/0.80 inference(miniscoping,[status(esa)],[f21])).
% 0.15/0.80 fof(f25,plain,(
% 0.15/0.80 ![X0,X1]: (equal_set(X0,X1)|~subset(X0,X1)|~subset(X1,X0))),
% 0.15/0.80 inference(cnf_transformation,[status(esa)],[f22])).
% 0.15/0.80 fof(f35,plain,(
% 0.15/0.80 ![X,A,B]: ((~member(X,union(A,B))|(member(X,A)|member(X,B)))&(member(X,union(A,B))|(~member(X,A)&~member(X,B))))),
% 0.15/0.80 inference(NNF_transformation,[status(esa)],[f5])).
% 0.15/0.80 fof(f36,plain,(
% 0.15/0.80 (![X,A,B]: (~member(X,union(A,B))|(member(X,A)|member(X,B))))&(![X,A,B]: (member(X,union(A,B))|(~member(X,A)&~member(X,B))))),
% 0.15/0.80 inference(miniscoping,[status(esa)],[f35])).
% 0.15/0.80 fof(f37,plain,(
% 0.15/0.80 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 0.15/0.80 inference(cnf_transformation,[status(esa)],[f36])).
% 0.15/0.80 fof(f38,plain,(
% 0.15/0.80 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X1))),
% 0.15/0.80 inference(cnf_transformation,[status(esa)],[f36])).
% 0.15/0.80 fof(f39,plain,(
% 0.15/0.80 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X2))),
% 0.15/0.80 inference(cnf_transformation,[status(esa)],[f36])).
% 0.15/0.80 fof(f68,plain,(
% 0.15/0.80 (?[A,B,C]: ~equal_set(union(union(A,B),C),union(A,union(B,C))))),
% 0.15/0.80 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.15/0.80 fof(f69,plain,(
% 0.15/0.80 ~equal_set(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5)))),
% 0.15/0.80 inference(skolemization,[status(esa)],[f68])).
% 0.15/0.80 fof(f70,plain,(
% 0.15/0.80 ~equal_set(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5)))),
% 0.15/0.80 inference(cnf_transformation,[status(esa)],[f69])).
% 0.15/0.80 fof(f71,plain,(
% 0.15/0.80 ![X0,X1]: (~member(sk0_0(X0,X1),X0)|equal_set(X0,X1)|~subset(X0,X1))),
% 0.15/0.80 inference(resolution,[status(thm)],[f20,f25])).
% 0.15/0.80 fof(f72,plain,(
% 0.15/0.80 ![X0,X1]: (~member(sk0_0(X0,X1),X0)|equal_set(X0,X1)|~member(sk0_0(X1,X0),X1))),
% 0.15/0.80 inference(resolution,[status(thm)],[f71,f20])).
% 0.15/0.80 fof(f73,plain,(
% 0.15/0.80 spl0_0 <=> member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),union(union(sk0_3,sk0_4),sk0_5))),
% 0.15/0.80 introduced(split_symbol_definition)).
% 0.15/0.80 fof(f75,plain,(
% 0.15/0.80 ~member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),union(union(sk0_3,sk0_4),sk0_5))|spl0_0),
% 0.15/0.80 inference(component_clause,[status(thm)],[f73])).
% 0.15/0.80 fof(f76,plain,(
% 0.15/0.80 spl0_1 <=> member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),union(sk0_3,union(sk0_4,sk0_5)))),
% 0.15/0.80 introduced(split_symbol_definition)).
% 0.15/0.80 fof(f78,plain,(
% 0.15/0.80 ~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),union(sk0_3,union(sk0_4,sk0_5)))|spl0_1),
% 0.15/0.80 inference(component_clause,[status(thm)],[f76])).
% 0.15/0.80 fof(f79,plain,(
% 0.15/0.80 ~member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),union(union(sk0_3,sk0_4),sk0_5))|~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),union(sk0_3,union(sk0_4,sk0_5)))),
% 0.15/0.80 inference(resolution,[status(thm)],[f72,f70])).
% 0.15/0.80 fof(f80,plain,(
% 0.15/0.80 ~spl0_0|~spl0_1),
% 0.15/0.80 inference(split_clause,[status(thm)],[f79,f73,f76])).
% 0.15/0.80 fof(f83,plain,(
% 0.15/0.80 ~member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),sk0_5)|spl0_0),
% 0.15/0.80 inference(resolution,[status(thm)],[f75,f39])).
% 0.15/0.80 fof(f84,plain,(
% 0.15/0.80 ~member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),union(sk0_3,sk0_4))|spl0_0),
% 0.15/0.80 inference(resolution,[status(thm)],[f75,f38])).
% 0.15/0.80 fof(f86,plain,(
% 0.15/0.80 ![X0]: (~member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),union(X0,sk0_5))|member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),X0)|spl0_0)),
% 0.15/0.80 inference(resolution,[status(thm)],[f83,f37])).
% 0.15/0.80 fof(f87,plain,(
% 0.15/0.80 ~member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),sk0_4)|spl0_0),
% 0.15/0.80 inference(resolution,[status(thm)],[f84,f39])).
% 0.15/0.80 fof(f88,plain,(
% 0.15/0.80 ~member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),sk0_3)|spl0_0),
% 0.15/0.80 inference(resolution,[status(thm)],[f84,f38])).
% 0.15/0.80 fof(f90,plain,(
% 0.15/0.80 ![X0]: (~member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),union(X0,sk0_4))|member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),X0)|spl0_0)),
% 0.15/0.80 inference(resolution,[status(thm)],[f87,f37])).
% 0.15/0.80 fof(f91,plain,(
% 0.15/0.80 ![X0]: (~member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),union(X0,sk0_3))|member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),X0)|spl0_0)),
% 0.15/0.80 inference(resolution,[status(thm)],[f88,f37])).
% 0.15/0.80 fof(f92,plain,(
% 0.15/0.80 spl0_2 <=> member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),X0)),
% 0.15/0.80 introduced(split_symbol_definition)).
% 0.15/0.80 fof(f93,plain,(
% 0.15/0.80 ![X0]: (member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),X0)|~spl0_2)),
% 0.15/0.80 inference(component_clause,[status(thm)],[f92])).
% 0.15/0.80 fof(f103,plain,(
% 0.15/0.80 ![X0,X1]: (member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),X0)|~member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),union(X1,union(X0,sk0_5)))|member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),X1)|spl0_0)),
% 0.15/0.80 inference(resolution,[status(thm)],[f86,f37])).
% 0.15/0.80 fof(f105,plain,(
% 0.15/0.80 ~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),union(sk0_4,sk0_5))|spl0_1),
% 0.15/0.80 inference(resolution,[status(thm)],[f78,f39])).
% 0.15/0.80 fof(f109,plain,(
% 0.15/0.80 ~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),sk0_5)|spl0_1),
% 0.15/0.80 inference(resolution,[status(thm)],[f105,f39])).
% 0.15/0.80 fof(f111,plain,(
% 0.15/0.80 ![X0]: (~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),union(X0,union(sk0_4,sk0_5)))|member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),X0)|spl0_1)),
% 0.15/0.80 inference(resolution,[status(thm)],[f105,f37])).
% 0.15/0.80 fof(f114,plain,(
% 0.15/0.80 spl0_4 <=> member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),X0)),
% 0.15/0.80 introduced(split_symbol_definition)).
% 0.15/0.80 fof(f115,plain,(
% 0.15/0.80 ![X0]: (member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),X0)|~spl0_4)),
% 0.15/0.80 inference(component_clause,[status(thm)],[f114])).
% 0.15/0.80 fof(f117,plain,(
% 0.15/0.80 spl0_5 <=> member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),union(sk0_4,sk0_5))),
% 0.15/0.80 introduced(split_symbol_definition)).
% 0.15/0.80 fof(f119,plain,(
% 0.15/0.80 ~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),union(sk0_4,sk0_5))|spl0_5),
% 0.15/0.80 inference(component_clause,[status(thm)],[f117])).
% 0.15/0.80 fof(f120,plain,(
% 0.15/0.80 ![X0]: (member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),X0)|~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),union(sk0_4,sk0_5))|spl0_1)),
% 0.15/0.80 inference(resolution,[status(thm)],[f111,f39])).
% 0.15/0.80 fof(f121,plain,(
% 0.15/0.80 spl0_4|~spl0_5|spl0_1),
% 0.15/0.80 inference(split_clause,[status(thm)],[f120,f114,f117,f76])).
% 0.15/0.80 fof(f125,plain,(
% 0.15/0.80 ~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),sk0_5)|spl0_5),
% 0.15/0.80 inference(resolution,[status(thm)],[f119,f39])).
% 0.15/0.80 fof(f126,plain,(
% 0.15/0.80 ~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),sk0_4)|spl0_5),
% 0.15/0.80 inference(resolution,[status(thm)],[f119,f38])).
% 0.15/0.80 fof(f128,plain,(
% 0.15/0.80 ![X0]: (~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),union(X0,sk0_5))|member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),X0)|spl0_5)),
% 0.15/0.80 inference(resolution,[status(thm)],[f125,f37])).
% 0.15/0.80 fof(f129,plain,(
% 0.15/0.80 ![X0]: (~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),union(X0,sk0_4))|member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),X0)|spl0_5)),
% 0.15/0.80 inference(resolution,[status(thm)],[f126,f37])).
% 0.15/0.80 fof(f158,plain,(
% 0.15/0.80 $false|~spl0_2|spl0_0),
% 0.15/0.80 inference(backward_subsumption_resolution,[status(thm)],[f75,f93])).
% 0.15/0.80 fof(f159,plain,(
% 0.15/0.80 ~spl0_2|spl0_0),
% 0.15/0.80 inference(contradiction_clause,[status(thm)],[f158])).
% 0.15/0.80 fof(f178,plain,(
% 0.15/0.80 spl0_9 <=> member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),union(sk0_3,sk0_4))),
% 0.15/0.80 introduced(split_symbol_definition)).
% 0.15/0.80 fof(f179,plain,(
% 0.15/0.80 member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),union(sk0_3,sk0_4))|~spl0_9),
% 0.15/0.80 inference(component_clause,[status(thm)],[f178])).
% 0.15/0.80 fof(f181,plain,(
% 0.15/0.80 spl0_10 <=> subset(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5)))),
% 0.15/0.80 introduced(split_symbol_definition)).
% 0.15/0.80 fof(f182,plain,(
% 0.15/0.80 subset(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5)))|~spl0_10),
% 0.15/0.80 inference(component_clause,[status(thm)],[f181])).
% 0.15/0.80 fof(f183,plain,(
% 0.15/0.80 ~subset(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5)))|spl0_10),
% 0.15/0.80 inference(component_clause,[status(thm)],[f181])).
% 0.15/0.80 fof(f184,plain,(
% 0.15/0.80 member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),union(sk0_3,sk0_4))|subset(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5)))|spl0_5),
% 0.15/0.80 inference(resolution,[status(thm)],[f128,f19])).
% 0.15/0.80 fof(f185,plain,(
% 0.15/0.80 spl0_9|spl0_10|spl0_5),
% 0.15/0.80 inference(split_clause,[status(thm)],[f184,f178,f181,f117])).
% 0.15/0.80 fof(f186,plain,(
% 0.15/0.80 spl0_11 <=> member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),sk0_5)),
% 0.15/0.80 introduced(split_symbol_definition)).
% 0.15/0.80 fof(f188,plain,(
% 0.15/0.80 ~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),sk0_5)|spl0_11),
% 0.15/0.80 inference(component_clause,[status(thm)],[f186])).
% 0.15/0.80 fof(f200,plain,(
% 0.15/0.80 spl0_12 <=> member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),sk0_4)),
% 0.15/0.80 introduced(split_symbol_definition)).
% 0.15/0.80 fof(f203,plain,(
% 0.15/0.80 ![X0]: (member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),X0)|~member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),sk0_4)|spl0_0)),
% 0.15/0.80 inference(resolution,[status(thm)],[f90,f39])).
% 0.15/0.80 fof(f204,plain,(
% 0.15/0.80 spl0_2|~spl0_12|spl0_0),
% 0.15/0.80 inference(split_clause,[status(thm)],[f203,f92,f200,f73])).
% 0.15/0.80 fof(f207,plain,(
% 0.15/0.80 spl0_13 <=> equal_set(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5)))),
% 0.15/0.80 introduced(split_symbol_definition)).
% 0.15/0.80 fof(f208,plain,(
% 0.15/0.80 equal_set(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5)))|~spl0_13),
% 0.15/0.80 inference(component_clause,[status(thm)],[f207])).
% 0.15/0.80 fof(f210,plain,(
% 0.15/0.80 ~member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),union(union(sk0_3,sk0_4),sk0_5))|equal_set(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5)))|~spl0_10),
% 0.15/0.80 inference(resolution,[status(thm)],[f182,f71])).
% 0.15/0.80 fof(f211,plain,(
% 0.15/0.80 ~spl0_0|spl0_13|~spl0_10),
% 0.15/0.80 inference(split_clause,[status(thm)],[f210,f73,f207,f181])).
% 0.15/0.80 fof(f215,plain,(
% 0.15/0.80 spl0_15 <=> subset(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5))),
% 0.15/0.80 introduced(split_symbol_definition)).
% 0.15/0.80 fof(f216,plain,(
% 0.15/0.80 subset(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5))|~spl0_15),
% 0.15/0.80 inference(component_clause,[status(thm)],[f215])).
% 0.15/0.80 fof(f220,plain,(
% 0.15/0.80 $false|~spl0_13),
% 0.15/0.80 inference(forward_subsumption_resolution,[status(thm)],[f208,f70])).
% 0.15/0.80 fof(f221,plain,(
% 0.15/0.80 ~spl0_13),
% 0.15/0.80 inference(contradiction_clause,[status(thm)],[f220])).
% 0.15/0.80 fof(f222,plain,(
% 0.15/0.80 ~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),union(sk0_3,union(sk0_4,sk0_5)))|spl0_10),
% 0.15/0.80 inference(resolution,[status(thm)],[f183,f20])).
% 0.15/0.80 fof(f223,plain,(
% 0.15/0.80 ~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),union(sk0_4,sk0_5))|spl0_10),
% 0.15/0.80 inference(resolution,[status(thm)],[f222,f39])).
% 0.15/0.80 fof(f224,plain,(
% 0.15/0.80 ~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),sk0_3)|spl0_10),
% 0.15/0.80 inference(resolution,[status(thm)],[f222,f38])).
% 0.15/0.80 fof(f228,plain,(
% 0.15/0.80 ![X0]: (~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),union(X0,union(sk0_4,sk0_5)))|member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),X0)|spl0_10)),
% 0.15/0.80 inference(resolution,[status(thm)],[f223,f37])).
% 0.15/0.80 fof(f230,plain,(
% 0.15/0.80 ![X0]: (member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),X0)|~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),union(sk0_4,sk0_5))|spl0_10)),
% 0.15/0.80 inference(resolution,[status(thm)],[f228,f39])).
% 0.15/0.80 fof(f231,plain,(
% 0.15/0.80 spl0_4|~spl0_5|spl0_10),
% 0.15/0.80 inference(split_clause,[status(thm)],[f230,f114,f117,f181])).
% 0.15/0.80 fof(f233,plain,(
% 0.15/0.80 $false|~spl0_4|spl0_11),
% 0.15/0.80 inference(backward_subsumption_resolution,[status(thm)],[f188,f115])).
% 0.15/0.80 fof(f234,plain,(
% 0.15/0.80 ~spl0_4|spl0_11),
% 0.15/0.80 inference(contradiction_clause,[status(thm)],[f233])).
% 0.15/0.80 fof(f242,plain,(
% 0.15/0.80 spl0_16 <=> member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),sk0_3)),
% 0.15/0.80 introduced(split_symbol_definition)).
% 0.15/0.80 fof(f245,plain,(
% 0.15/0.80 ![X0]: (member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),X0)|~member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),sk0_3)|spl0_0)),
% 0.15/0.80 inference(resolution,[status(thm)],[f91,f39])).
% 0.15/0.80 fof(f246,plain,(
% 0.15/0.80 spl0_2|~spl0_16|spl0_0),
% 0.15/0.80 inference(split_clause,[status(thm)],[f245,f92,f242,f73])).
% 0.15/0.80 fof(f253,plain,(
% 0.15/0.80 member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),sk0_3)|spl0_5|~spl0_9),
% 0.15/0.80 inference(resolution,[status(thm)],[f129,f179])).
% 0.15/0.80 fof(f260,plain,(
% 0.15/0.80 member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),sk0_4)|member(sk0_0(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5))),sk0_3)|subset(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5))|spl0_0),
% 0.15/0.80 inference(resolution,[status(thm)],[f103,f19])).
% 0.15/0.80 fof(f261,plain,(
% 0.15/0.80 spl0_12|spl0_16|spl0_15|spl0_0),
% 0.15/0.80 inference(split_clause,[status(thm)],[f260,f200,f242,f215,f73])).
% 0.15/0.80 fof(f274,plain,(
% 0.15/0.80 equal_set(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5)))|~subset(union(union(sk0_3,sk0_4),sk0_5),union(sk0_3,union(sk0_4,sk0_5)))|~spl0_15),
% 0.15/0.80 inference(resolution,[status(thm)],[f216,f25])).
% 0.15/0.80 fof(f275,plain,(
% 0.15/0.80 spl0_13|~spl0_10|~spl0_15),
% 0.15/0.80 inference(split_clause,[status(thm)],[f274,f207,f181,f215])).
% 0.15/0.80 fof(f277,plain,(
% 0.15/0.80 ~spl0_11|spl0_1),
% 0.15/0.80 inference(split_clause,[status(thm)],[f109,f186,f76])).
% 0.15/0.80 fof(f278,plain,(
% 0.15/0.80 ~member(sk0_0(union(sk0_3,union(sk0_4,sk0_5)),union(union(sk0_3,sk0_4),sk0_5)),sk0_5)|spl0_10),
% 0.15/0.80 inference(resolution,[status(thm)],[f223,f39])).
% 0.15/0.80 fof(f279,plain,(
% 0.15/0.80 ~spl0_11|spl0_10),
% 0.15/0.80 inference(split_clause,[status(thm)],[f278,f186,f181])).
% 0.15/0.80 fof(f619,plain,(
% 0.15/0.80 $false|spl0_10|spl0_5|~spl0_9),
% 0.15/0.80 inference(forward_subsumption_resolution,[status(thm)],[f253,f224])).
% 0.15/0.80 fof(f620,plain,(
% 2.88/0.82 spl0_10|spl0_5|~spl0_9),
% 2.88/0.82 inference(contradiction_clause,[status(thm)],[f619])).
% 2.88/0.82 fof(f621,plain,(
% 2.88/0.82 $false),
% 2.88/0.82 inference(sat_refutation,[status(thm)],[f80,f121,f159,f185,f204,f211,f221,f231,f234,f246,f261,f275,f277,f279,f620])).
% 2.88/0.82 % SZS output end CNFRefutation for theBenchmark.p
% 2.99/0.83 % Elapsed time: 0.512339 seconds
% 2.99/0.83 % CPU time: 3.024591 seconds
% 2.99/0.83 % Memory used: 77.533 MB
%------------------------------------------------------------------------------