TSTP Solution File: SEU102+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU102+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 20:41:01 EDT 2024
% Result : Theorem 0.21s 0.56s
% Output : CNFRefutation 1.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU102+1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 19:45:10 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.36 % Drodi V3.6.0
% 0.21/0.56 % Refutation found
% 0.21/0.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.56 fof(f3,axiom,(
% 0.21/0.56 (! [A] :( preboolean(A)=> ( cup_closed(A)& diff_closed(A) ) ) )),
% 0.21/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.56 fof(f5,axiom,(
% 0.21/0.56 (! [A] :( ( cup_closed(A)& diff_closed(A) )=> preboolean(A) ) )),
% 0.21/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.56 fof(f6,axiom,(
% 0.21/0.56 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 0.21/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.56 fof(f7,axiom,(
% 0.21/0.56 (! [A,B,C] :( ( ~ empty(A)& preboolean(A)& element(B,A)& element(C,A) )=> element(prebool_difference(A,B,C),A) ) )),
% 0.21/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.56 fof(f11,axiom,(
% 0.21/0.56 (! [A,B] :( finite(A)=> finite(set_difference(A,B)) ) )),
% 0.21/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.56 fof(f12,axiom,(
% 0.21/0.56 (! [A] : ~ empty(powerset(A)) )),
% 0.21/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.56 fof(f13,axiom,(
% 0.21/0.56 empty(empty_set) ),
% 0.21/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.56 fof(f15,axiom,(
% 0.21/0.56 (? [A] :( ~ empty(A)& finite(A) ) )),
% 0.21/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.56 fof(f19,axiom,(
% 0.21/0.56 (! [A] :(? [B] :( element(B,powerset(A))& empty(B)& relation(B)& function(B)& one_to_one(B)& epsilon_transitive(B)& epsilon_connected(B)& ordinal(B)& natural(B)& finite(B) ) ))),
% 0.21/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.56 fof(f24,axiom,(
% 0.21/0.56 (! [A,B,C] :( ( ~ empty(A)& preboolean(A)& element(B,A)& element(C,A) )=> prebool_difference(A,B,C) = set_difference(B,C) ) )),
% 0.21/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.56 fof(f25,axiom,(
% 0.21/0.56 (! [A,B] : subset(A,A) )),
% 0.21/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.56 fof(f26,conjecture,(
% 0.21/0.56 (! [A,B,C] :( ( ~ empty(C)& preboolean(C) )=> ( ( element(A,C)& element(B,C) )=> element(set_intersection2(A,B),C) ) ) )),
% 0.21/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.56 fof(f27,negated_conjecture,(
% 0.21/0.56 ~((! [A,B,C] :( ( ~ empty(C)& preboolean(C) )=> ( ( element(A,C)& element(B,C) )=> element(set_intersection2(A,B),C) ) ) ))),
% 0.21/0.56 inference(negated_conjecture,[status(cth)],[f26])).
% 0.21/0.56 fof(f30,axiom,(
% 0.21/0.56 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.21/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.56 fof(f32,axiom,(
% 0.21/0.56 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.21/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.56 fof(f33,axiom,(
% 0.21/0.56 (! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B) )),
% 0.21/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.56 fof(f36,axiom,(
% 0.21/0.56 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 0.21/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.56 fof(f39,axiom,(
% 0.21/0.56 (! [A,B] :~ ( empty(A)& A != B& empty(B) ) )),
% 0.21/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.56 fof(f44,plain,(
% 0.21/0.56 ![A]: (~preboolean(A)|(cup_closed(A)&diff_closed(A)))),
% 0.21/0.56 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.21/0.56 fof(f45,plain,(
% 0.21/0.56 ![X0]: (~preboolean(X0)|cup_closed(X0))),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f44])).
% 0.21/0.56 fof(f46,plain,(
% 0.21/0.56 ![X0]: (~preboolean(X0)|diff_closed(X0))),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f44])).
% 0.21/0.56 fof(f49,plain,(
% 0.21/0.56 ![A]: ((~cup_closed(A)|~diff_closed(A))|preboolean(A))),
% 0.21/0.56 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.21/0.56 fof(f50,plain,(
% 0.21/0.56 ![X0]: (~cup_closed(X0)|~diff_closed(X0)|preboolean(X0))),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f49])).
% 0.21/0.56 fof(f51,plain,(
% 0.21/0.56 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f6])).
% 0.21/0.56 fof(f52,plain,(
% 0.21/0.56 ![A,B,C]: ((((empty(A)|~preboolean(A))|~element(B,A))|~element(C,A))|element(prebool_difference(A,B,C),A))),
% 0.21/0.56 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.21/0.56 fof(f53,plain,(
% 0.21/0.56 ![X0,X1,X2]: (empty(X0)|~preboolean(X0)|~element(X1,X0)|~element(X2,X0)|element(prebool_difference(X0,X1,X2),X0))),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f52])).
% 0.21/0.56 fof(f62,plain,(
% 0.21/0.56 ![A,B]: (~finite(A)|finite(set_difference(A,B)))),
% 0.21/0.56 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.21/0.56 fof(f63,plain,(
% 0.21/0.56 ![A]: (~finite(A)|(![B]: finite(set_difference(A,B))))),
% 0.21/0.56 inference(miniscoping,[status(esa)],[f62])).
% 0.21/0.56 fof(f64,plain,(
% 0.21/0.56 ![X0,X1]: (~finite(X0)|finite(set_difference(X0,X1)))),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f63])).
% 0.21/0.56 fof(f65,plain,(
% 0.21/0.56 ![X0]: (~empty(powerset(X0)))),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f12])).
% 0.21/0.56 fof(f66,plain,(
% 0.21/0.56 empty(empty_set)),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f13])).
% 0.21/0.56 fof(f69,plain,(
% 0.21/0.56 (~empty(sk0_1)&finite(sk0_1))),
% 0.21/0.56 inference(skolemization,[status(esa)],[f15])).
% 0.21/0.56 fof(f70,plain,(
% 0.21/0.56 ~empty(sk0_1)),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f69])).
% 0.21/0.56 fof(f71,plain,(
% 0.21/0.56 finite(sk0_1)),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f69])).
% 0.21/0.56 fof(f84,plain,(
% 0.21/0.56 ![A]: (((((((((element(sk0_5(A),powerset(A))&empty(sk0_5(A)))&relation(sk0_5(A)))&function(sk0_5(A)))&one_to_one(sk0_5(A)))&epsilon_transitive(sk0_5(A)))&epsilon_connected(sk0_5(A)))&ordinal(sk0_5(A)))&natural(sk0_5(A)))&finite(sk0_5(A)))),
% 0.21/0.56 inference(skolemization,[status(esa)],[f19])).
% 0.21/0.56 fof(f85,plain,(
% 0.21/0.56 ![X0]: (element(sk0_5(X0),powerset(X0)))),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f84])).
% 0.21/0.56 fof(f86,plain,(
% 0.21/0.56 ![X0]: (empty(sk0_5(X0)))),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f84])).
% 0.21/0.56 fof(f110,plain,(
% 0.21/0.56 ![A,B,C]: ((((empty(A)|~preboolean(A))|~element(B,A))|~element(C,A))|prebool_difference(A,B,C)=set_difference(B,C))),
% 0.21/0.56 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.21/0.56 fof(f111,plain,(
% 0.21/0.56 ![X0,X1,X2]: (empty(X0)|~preboolean(X0)|~element(X1,X0)|~element(X2,X0)|prebool_difference(X0,X1,X2)=set_difference(X1,X2))),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f110])).
% 0.21/0.56 fof(f112,plain,(
% 0.21/0.56 ![A]: subset(A,A)),
% 0.21/0.56 inference(miniscoping,[status(esa)],[f25])).
% 0.21/0.56 fof(f113,plain,(
% 0.21/0.56 ![X0]: (subset(X0,X0))),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f112])).
% 0.21/0.56 fof(f114,plain,(
% 0.21/0.56 (?[A,B,C]: ((~empty(C)&preboolean(C))&((element(A,C)&element(B,C))&~element(set_intersection2(A,B),C))))),
% 0.21/0.56 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 0.21/0.56 fof(f115,plain,(
% 0.21/0.56 ?[C]: ((~empty(C)&preboolean(C))&(?[A,B]: ((element(A,C)&element(B,C))&~element(set_intersection2(A,B),C))))),
% 0.21/0.56 inference(miniscoping,[status(esa)],[f114])).
% 0.21/0.56 fof(f116,plain,(
% 0.21/0.56 ((~empty(sk0_10)&preboolean(sk0_10))&((element(sk0_11,sk0_10)&element(sk0_12,sk0_10))&~element(set_intersection2(sk0_11,sk0_12),sk0_10)))),
% 0.21/0.56 inference(skolemization,[status(esa)],[f115])).
% 0.21/0.56 fof(f117,plain,(
% 0.21/0.56 ~empty(sk0_10)),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f116])).
% 0.21/0.56 fof(f118,plain,(
% 0.21/0.56 preboolean(sk0_10)),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f116])).
% 0.21/0.56 fof(f119,plain,(
% 0.21/0.56 element(sk0_11,sk0_10)),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f116])).
% 0.21/0.56 fof(f120,plain,(
% 0.21/0.56 element(sk0_12,sk0_10)),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f116])).
% 0.21/0.56 fof(f121,plain,(
% 0.21/0.56 ~element(set_intersection2(sk0_11,sk0_12),sk0_10)),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f116])).
% 0.21/0.56 fof(f125,plain,(
% 0.21/0.56 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.21/0.56 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 0.21/0.56 fof(f126,plain,(
% 0.21/0.56 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f125])).
% 0.21/0.56 fof(f128,plain,(
% 0.21/0.56 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.21/0.56 inference(NNF_transformation,[status(esa)],[f32])).
% 0.21/0.56 fof(f129,plain,(
% 0.21/0.56 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.21/0.56 inference(miniscoping,[status(esa)],[f128])).
% 0.21/0.56 fof(f131,plain,(
% 0.21/0.56 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f129])).
% 0.21/0.56 fof(f132,plain,(
% 0.21/0.56 ![X0,X1]: (set_difference(X0,set_difference(X0,X1))=set_intersection2(X0,X1))),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f33])).
% 0.21/0.56 fof(f137,plain,(
% 0.21/0.56 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 0.21/0.56 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.21/0.56 fof(f138,plain,(
% 0.21/0.56 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 0.21/0.56 inference(miniscoping,[status(esa)],[f137])).
% 0.21/0.56 fof(f139,plain,(
% 0.21/0.56 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f138])).
% 0.21/0.56 fof(f145,plain,(
% 0.21/0.56 ![A,B]: ((~empty(A)|A=B)|~empty(B))),
% 0.21/0.56 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 0.21/0.56 fof(f146,plain,(
% 0.21/0.56 ![B]: ((![A]: (~empty(A)|A=B))|~empty(B))),
% 0.21/0.56 inference(miniscoping,[status(esa)],[f145])).
% 0.21/0.56 fof(f147,plain,(
% 0.21/0.56 ![X0,X1]: (~empty(X0)|X0=X1|~empty(X1))),
% 0.21/0.56 inference(cnf_transformation,[status(esa)],[f146])).
% 0.21/0.56 fof(f148,plain,(
% 0.21/0.56 ![X0]: (empty_set=X0|~empty(X0))),
% 0.21/0.56 inference(resolution,[status(thm)],[f66,f147])).
% 0.21/0.56 fof(f180,plain,(
% 0.21/0.56 ![X0]: (empty_set=sk0_5(X0))),
% 0.21/0.56 inference(resolution,[status(thm)],[f86,f148])).
% 0.21/0.56 fof(f185,plain,(
% 0.21/0.56 cup_closed(sk0_10)),
% 0.21/0.56 inference(resolution,[status(thm)],[f45,f118])).
% 0.21/0.56 fof(f382,plain,(
% 0.21/0.56 diff_closed(sk0_10)),
% 0.21/0.56 inference(resolution,[status(thm)],[f46,f118])).
% 0.21/0.56 fof(f431,plain,(
% 0.21/0.56 spl0_0 <=> cup_closed(sk0_10)),
% 0.21/0.56 introduced(split_symbol_definition)).
% 0.21/0.56 fof(f433,plain,(
% 0.21/0.56 ~cup_closed(sk0_10)|spl0_0),
% 0.21/0.56 inference(component_clause,[status(thm)],[f431])).
% 0.21/0.56 fof(f434,plain,(
% 0.21/0.56 spl0_1 <=> preboolean(sk0_10)),
% 0.21/0.56 introduced(split_symbol_definition)).
% 0.21/0.56 fof(f437,plain,(
% 0.21/0.56 ~cup_closed(sk0_10)|preboolean(sk0_10)),
% 0.21/0.56 inference(resolution,[status(thm)],[f50,f382])).
% 0.21/0.56 fof(f438,plain,(
% 0.21/0.56 ~spl0_0|spl0_1),
% 0.21/0.56 inference(split_clause,[status(thm)],[f437,f431,f434])).
% 0.21/0.56 fof(f449,plain,(
% 0.21/0.56 $false|spl0_0),
% 0.21/0.56 inference(forward_subsumption_resolution,[status(thm)],[f433,f185])).
% 0.21/0.56 fof(f450,plain,(
% 0.21/0.56 spl0_0),
% 0.21/0.56 inference(contradiction_clause,[status(thm)],[f449])).
% 0.21/0.56 fof(f452,plain,(
% 0.21/0.56 spl0_4 <=> empty(sk0_10)),
% 0.21/0.56 introduced(split_symbol_definition)).
% 0.21/0.56 fof(f453,plain,(
% 0.21/0.56 empty(sk0_10)|~spl0_4),
% 0.21/0.56 inference(component_clause,[status(thm)],[f452])).
% 0.21/0.56 fof(f455,plain,(
% 0.21/0.56 spl0_5 <=> ~element(X0,sk0_10)|element(prebool_difference(sk0_10,sk0_12,X0),sk0_10)),
% 0.21/0.56 introduced(split_symbol_definition)).
% 0.21/0.56 fof(f456,plain,(
% 0.21/0.56 ![X0]: (~element(X0,sk0_10)|element(prebool_difference(sk0_10,sk0_12,X0),sk0_10)|~spl0_5)),
% 0.21/0.56 inference(component_clause,[status(thm)],[f455])).
% 0.21/0.56 fof(f458,plain,(
% 0.21/0.56 ![X0]: (empty(sk0_10)|~preboolean(sk0_10)|~element(X0,sk0_10)|element(prebool_difference(sk0_10,sk0_12,X0),sk0_10))),
% 0.21/0.56 inference(resolution,[status(thm)],[f53,f120])).
% 0.21/0.56 fof(f459,plain,(
% 0.21/0.56 spl0_4|~spl0_1|spl0_5),
% 0.21/0.56 inference(split_clause,[status(thm)],[f458,f452,f434,f455])).
% 0.21/0.56 fof(f465,plain,(
% 0.21/0.56 $false|~spl0_4),
% 0.21/0.56 inference(forward_subsumption_resolution,[status(thm)],[f453,f117])).
% 0.21/0.56 fof(f466,plain,(
% 0.21/0.56 ~spl0_4),
% 0.21/0.56 inference(contradiction_clause,[status(thm)],[f465])).
% 0.21/0.56 fof(f469,plain,(
% 0.21/0.56 element(prebool_difference(sk0_10,sk0_12,sk0_11),sk0_10)|~spl0_5),
% 0.21/0.56 inference(resolution,[status(thm)],[f456,f119])).
% 0.21/0.56 fof(f476,plain,(
% 0.21/0.56 element(prebool_difference(sk0_10,sk0_12,prebool_difference(sk0_10,sk0_12,sk0_11)),sk0_10)|~spl0_5),
% 0.21/0.56 inference(resolution,[status(thm)],[f469,f456])).
% 0.21/0.56 fof(f925,plain,(
% 0.21/0.56 ![X0]: (element(empty_set,powerset(X0)))),
% 0.21/0.56 inference(forward_demodulation,[status(thm)],[f180,f85])).
% 0.21/0.56 fof(f926,plain,(
% 0.21/0.56 spl0_35 <=> ~finite(X0)),
% 0.21/0.56 introduced(split_symbol_definition)).
% 0.21/0.56 fof(f927,plain,(
% 0.21/0.56 ![X0]: (~finite(X0)|~spl0_35)),
% 0.21/0.56 inference(component_clause,[status(thm)],[f926])).
% 0.21/0.56 fof(f964,plain,(
% 0.21/0.56 ![X0]: (finite(set_difference(sk0_1,X0)))),
% 0.21/0.56 inference(resolution,[status(thm)],[f64,f71])).
% 0.21/0.56 fof(f1062,plain,(
% 0.21/0.56 $false|~spl0_35),
% 0.21/0.56 inference(backward_subsumption_resolution,[status(thm)],[f964,f927])).
% 0.21/0.56 fof(f1063,plain,(
% 0.21/0.56 ~spl0_35),
% 0.21/0.56 inference(contradiction_clause,[status(thm)],[f1062])).
% 0.21/0.56 fof(f1714,plain,(
% 0.21/0.56 spl0_66 <=> empty(X0)),
% 0.21/0.56 introduced(split_symbol_definition)).
% 0.21/0.56 fof(f1715,plain,(
% 0.21/0.56 ![X0]: (empty(X0)|~spl0_66)),
% 0.21/0.56 inference(component_clause,[status(thm)],[f1714])).
% 0.21/0.56 fof(f1743,plain,(
% 0.21/0.56 ![X0]: (element(X0,powerset(X0)))),
% 0.21/0.56 inference(resolution,[status(thm)],[f131,f113])).
% 0.21/0.56 fof(f2058,plain,(
% 0.21/0.56 spl0_124 <=> ~element(X0,sk0_10)|prebool_difference(sk0_10,sk0_12,X0)=set_difference(sk0_12,X0)),
% 0.21/0.56 introduced(split_symbol_definition)).
% 0.21/0.56 fof(f2059,plain,(
% 0.21/0.56 ![X0]: (~element(X0,sk0_10)|prebool_difference(sk0_10,sk0_12,X0)=set_difference(sk0_12,X0)|~spl0_124)),
% 0.21/0.56 inference(component_clause,[status(thm)],[f2058])).
% 0.21/0.56 fof(f2061,plain,(
% 0.21/0.56 ![X0]: (empty(sk0_10)|~preboolean(sk0_10)|~element(X0,sk0_10)|prebool_difference(sk0_10,sk0_12,X0)=set_difference(sk0_12,X0))),
% 0.21/0.56 inference(resolution,[status(thm)],[f111,f120])).
% 0.21/0.56 fof(f2062,plain,(
% 0.21/0.56 spl0_4|~spl0_1|spl0_124),
% 0.21/0.56 inference(split_clause,[status(thm)],[f2061,f452,f434,f2058])).
% 0.21/0.56 fof(f2076,plain,(
% 0.21/0.56 ![X0]: (empty(powerset(X0))|in(empty_set,powerset(X0)))),
% 0.21/0.56 inference(resolution,[status(thm)],[f126,f925])).
% 0.21/0.56 fof(f2077,plain,(
% 0.21/0.56 ![X0]: (in(empty_set,powerset(X0)))),
% 0.21/0.56 inference(forward_subsumption_resolution,[status(thm)],[f2076,f65])).
% 0.21/0.56 fof(f2450,plain,(
% 0.21/0.56 prebool_difference(sk0_10,sk0_12,prebool_difference(sk0_10,sk0_12,sk0_11))=set_difference(sk0_12,prebool_difference(sk0_10,sk0_12,sk0_11))|~spl0_124|~spl0_5),
% 0.21/0.56 inference(resolution,[status(thm)],[f2059,f469])).
% 0.21/0.56 fof(f2454,plain,(
% 0.21/0.56 prebool_difference(sk0_10,sk0_12,sk0_11)=set_difference(sk0_12,sk0_11)|~spl0_124),
% 0.21/0.56 inference(resolution,[status(thm)],[f2059,f119])).
% 0.21/0.56 fof(f2658,plain,(
% 0.21/0.56 element(prebool_difference(sk0_10,sk0_12,set_difference(sk0_12,sk0_11)),sk0_10)|~spl0_124|~spl0_5),
% 0.21/0.56 inference(backward_demodulation,[status(thm)],[f2454,f476])).
% 0.21/0.56 fof(f2796,plain,(
% 0.21/0.56 ![X0,X1]: (~element(powerset(X0),powerset(X1))|~empty(X1))),
% 0.21/0.56 inference(resolution,[status(thm)],[f139,f2077])).
% 0.21/0.56 fof(f3099,plain,(
% 0.21/0.56 spl0_215 <=> empty(sk0_1)),
% 0.21/0.56 introduced(split_symbol_definition)).
% 0.21/0.56 fof(f3100,plain,(
% 0.21/0.56 empty(sk0_1)|~spl0_215),
% 0.21/0.56 inference(component_clause,[status(thm)],[f3099])).
% 0.21/0.56 fof(f3130,plain,(
% 0.21/0.56 $false|~spl0_215),
% 0.21/0.56 inference(forward_subsumption_resolution,[status(thm)],[f3100,f70])).
% 0.21/0.56 fof(f3131,plain,(
% 0.21/0.56 ~spl0_215),
% 0.21/0.56 inference(contradiction_clause,[status(thm)],[f3130])).
% 0.21/0.56 fof(f3313,plain,(
% 0.21/0.56 spl0_236 <=> empty(powerset(empty_set))),
% 0.21/0.56 introduced(split_symbol_definition)).
% 0.21/0.56 fof(f3314,plain,(
% 0.21/0.56 empty(powerset(empty_set))|~spl0_236),
% 0.21/0.56 inference(component_clause,[status(thm)],[f3313])).
% 0.21/0.56 fof(f3327,plain,(
% 0.21/0.56 $false|~spl0_236),
% 0.21/0.56 inference(forward_subsumption_resolution,[status(thm)],[f3314,f65])).
% 0.21/0.56 fof(f3328,plain,(
% 0.21/0.56 ~spl0_236),
% 0.21/0.56 inference(contradiction_clause,[status(thm)],[f3327])).
% 0.21/0.56 fof(f3334,plain,(
% 0.21/0.56 spl0_239 <=> empty(powerset(sk0_1))),
% 0.21/0.56 introduced(split_symbol_definition)).
% 0.21/0.56 fof(f3335,plain,(
% 0.21/0.56 empty(powerset(sk0_1))|~spl0_239),
% 0.21/0.56 inference(component_clause,[status(thm)],[f3334])).
% 0.21/0.56 fof(f3348,plain,(
% 0.21/0.56 $false|~spl0_239),
% 0.21/0.56 inference(forward_subsumption_resolution,[status(thm)],[f3335,f65])).
% 0.21/0.56 fof(f3349,plain,(
% 0.21/0.56 ~spl0_239),
% 0.21/0.56 inference(contradiction_clause,[status(thm)],[f3348])).
% 0.21/0.56 fof(f3795,plain,(
% 0.21/0.56 prebool_difference(sk0_10,sk0_12,set_difference(sk0_12,sk0_11))=set_difference(sk0_12,prebool_difference(sk0_10,sk0_12,sk0_11))|~spl0_124|~spl0_5),
% 0.21/0.56 inference(forward_demodulation,[status(thm)],[f2454,f2450])).
% 0.21/0.56 fof(f3796,plain,(
% 0.21/0.56 prebool_difference(sk0_10,sk0_12,set_difference(sk0_12,sk0_11))=set_difference(sk0_12,set_difference(sk0_12,sk0_11))|~spl0_124|~spl0_5),
% 0.21/0.56 inference(forward_demodulation,[status(thm)],[f2454,f3795])).
% 0.21/0.56 fof(f3797,plain,(
% 0.21/0.56 prebool_difference(sk0_10,sk0_12,set_difference(sk0_12,sk0_11))=set_intersection2(sk0_12,sk0_11)|~spl0_124|~spl0_5),
% 0.21/0.56 inference(forward_demodulation,[status(thm)],[f132,f3796])).
% 0.21/0.56 fof(f3798,plain,(
% 0.21/0.56 prebool_difference(sk0_10,sk0_12,set_difference(sk0_12,sk0_11))=set_intersection2(sk0_11,sk0_12)|~spl0_124|~spl0_5),
% 0.21/0.56 inference(forward_demodulation,[status(thm)],[f51,f3797])).
% 0.21/0.56 fof(f3805,plain,(
% 0.21/0.56 ![X0]: (~empty(powerset(X0)))),
% 0.21/0.56 inference(resolution,[status(thm)],[f2796,f1743])).
% 0.21/0.56 fof(f3949,plain,(
% 0.21/0.56 $false|~spl0_66),
% 0.21/0.56 inference(backward_subsumption_resolution,[status(thm)],[f70,f1715])).
% 0.21/0.56 fof(f3950,plain,(
% 0.21/0.56 ~spl0_66),
% 0.21/0.56 inference(contradiction_clause,[status(thm)],[f3949])).
% 0.21/0.56 fof(f4646,plain,(
% 0.21/0.56 spl0_280 <=> empty(powerset(sk0_3(sk0_1)))),
% 0.21/0.56 introduced(split_symbol_definition)).
% 0.21/0.56 fof(f4647,plain,(
% 0.21/0.56 empty(powerset(sk0_3(sk0_1)))|~spl0_280),
% 0.21/0.56 inference(component_clause,[status(thm)],[f4646])).
% 0.21/0.56 fof(f4660,plain,(
% 0.21/0.56 $false|~spl0_280),
% 0.21/0.56 inference(forward_subsumption_resolution,[status(thm)],[f4647,f3805])).
% 0.21/0.56 fof(f4661,plain,(
% 0.21/0.56 ~spl0_280),
% 0.21/0.56 inference(contradiction_clause,[status(thm)],[f4660])).
% 0.21/0.56 fof(f5211,plain,(
% 1.52/0.57 spl0_307 <=> empty(powerset(sk0_3(sk0_3(sk0_1))))),
% 1.52/0.57 introduced(split_symbol_definition)).
% 1.52/0.57 fof(f5212,plain,(
% 1.52/0.57 empty(powerset(sk0_3(sk0_3(sk0_1))))|~spl0_307),
% 1.52/0.57 inference(component_clause,[status(thm)],[f5211])).
% 1.52/0.57 fof(f5225,plain,(
% 1.52/0.57 $false|~spl0_307),
% 1.52/0.57 inference(forward_subsumption_resolution,[status(thm)],[f5212,f3805])).
% 1.52/0.57 fof(f5226,plain,(
% 1.52/0.57 ~spl0_307),
% 1.52/0.57 inference(contradiction_clause,[status(thm)],[f5225])).
% 1.52/0.57 fof(f5274,plain,(
% 1.52/0.57 spl0_314 <=> empty(powerset(sk0_0(powerset(sk0_1))))),
% 1.52/0.57 introduced(split_symbol_definition)).
% 1.52/0.57 fof(f5275,plain,(
% 1.52/0.57 empty(powerset(sk0_0(powerset(sk0_1))))|~spl0_314),
% 1.52/0.57 inference(component_clause,[status(thm)],[f5274])).
% 1.52/0.57 fof(f5288,plain,(
% 1.52/0.57 $false|~spl0_314),
% 1.52/0.57 inference(forward_subsumption_resolution,[status(thm)],[f5275,f3805])).
% 1.52/0.57 fof(f5289,plain,(
% 1.52/0.57 ~spl0_314),
% 1.52/0.57 inference(contradiction_clause,[status(thm)],[f5288])).
% 1.52/0.57 fof(f5734,plain,(
% 1.52/0.57 element(set_intersection2(sk0_11,sk0_12),sk0_10)|~spl0_124|~spl0_5),
% 1.52/0.57 inference(forward_demodulation,[status(thm)],[f3798,f2658])).
% 1.52/0.57 fof(f5735,plain,(
% 1.52/0.57 $false|~spl0_124|~spl0_5),
% 1.52/0.57 inference(forward_subsumption_resolution,[status(thm)],[f5734,f121])).
% 1.52/0.57 fof(f5736,plain,(
% 1.52/0.57 ~spl0_124|~spl0_5),
% 1.52/0.57 inference(contradiction_clause,[status(thm)],[f5735])).
% 1.52/0.57 fof(f5737,plain,(
% 1.52/0.57 $false),
% 1.52/0.57 inference(sat_refutation,[status(thm)],[f438,f450,f459,f466,f1063,f2062,f3131,f3328,f3349,f3950,f4661,f5226,f5289,f5736])).
% 1.52/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 1.52/0.58 % Elapsed time: 0.220358 seconds
% 1.52/0.58 % CPU time: 1.618272 seconds
% 1.52/0.58 % Total memory used: 89.431 MB
% 1.52/0.58 % Net memory used: 87.964 MB
%------------------------------------------------------------------------------