TSTP Solution File: SEU311+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU311+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:36:40 EDT 2023
% Result : Theorem 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU311+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n023.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 May 30 09:36:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.49 fof(f1,conjecture,(
% 0.19/0.49 (! [A,B] :( ( topological_space(A)& top_str(A)& element(B,powerset(powerset(the_carrier(A)))) )=> (? [C] :( element(C,powerset(powerset(the_carrier(A))))& (! [D] :( element(D,powerset(the_carrier(A)))=> ( in(D,C)<=> in(set_difference(cast_as_carrier_subset(A),D),B) ) ) )) )) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f2,negated_conjecture,(
% 0.19/0.49 ~((! [A,B] :( ( topological_space(A)& top_str(A)& element(B,powerset(powerset(the_carrier(A)))) )=> (? [C] :( element(C,powerset(powerset(the_carrier(A))))& (! [D] :( element(D,powerset(the_carrier(A)))=> ( in(D,C)<=> in(set_difference(cast_as_carrier_subset(A),D),B) ) ) )) )) ))),
% 0.19/0.49 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.49 fof(f26,axiom,(
% 0.19/0.49 (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f36,axiom,(
% 0.19/0.49 (! [A] : ~ empty(powerset(A)) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f37,axiom,(
% 0.19/0.49 (! [A,B] :( ( topological_space(A)& top_str(A)& element(B,powerset(powerset(the_carrier(A)))) )=> (? [C] :(! [D] :( in(D,C)<=> ( in(D,powerset(the_carrier(A)))& in(set_difference(cast_as_carrier_subset(A),D),B) ) ) ))) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f38,axiom,(
% 0.19/0.49 (! [A,B] :( ( ~ empty(A)=> ( element(B,A)<=> in(B,A) ) )& ( empty(A)=> ( element(B,A)<=> empty(B) ) ) ) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f40,axiom,(
% 0.19/0.49 (! [A] :(? [B] : element(B,A) ))),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f41,axiom,(
% 0.19/0.49 empty(empty_set) ),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f42,axiom,(
% 0.19/0.49 (! [A,B] :( (! [C] :( in(C,A)=> in(C,B) ))=> element(A,powerset(B)) ) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f45,axiom,(
% 0.19/0.49 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f48,plain,(
% 0.19/0.49 (?[A,B]: (((topological_space(A)&top_str(A))&element(B,powerset(powerset(the_carrier(A)))))&(![C]: (~element(C,powerset(powerset(the_carrier(A))))|(?[D]: (element(D,powerset(the_carrier(A)))&(in(D,C)<~>in(set_difference(cast_as_carrier_subset(A),D),B))))))))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.19/0.49 fof(f49,plain,(
% 0.19/0.49 ?[A,B]: (((topological_space(A)&top_str(A))&element(B,powerset(powerset(the_carrier(A)))))&(![C]: (~element(C,powerset(powerset(the_carrier(A))))|(?[D]: (element(D,powerset(the_carrier(A)))&((in(D,C)|in(set_difference(cast_as_carrier_subset(A),D),B))&(~in(D,C)|~in(set_difference(cast_as_carrier_subset(A),D),B))))))))),
% 0.19/0.49 inference(NNF_transformation,[status(esa)],[f48])).
% 0.19/0.49 fof(f50,plain,(
% 0.19/0.49 (((topological_space(sk0_0)&top_str(sk0_0))&element(sk0_1,powerset(powerset(the_carrier(sk0_0)))))&(![C]: (~element(C,powerset(powerset(the_carrier(sk0_0))))|(element(sk0_2(C),powerset(the_carrier(sk0_0)))&((in(sk0_2(C),C)|in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(C)),sk0_1))&(~in(sk0_2(C),C)|~in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(C)),sk0_1)))))))),
% 0.19/0.49 inference(skolemization,[status(esa)],[f49])).
% 0.19/0.49 fof(f51,plain,(
% 0.19/0.49 topological_space(sk0_0)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f50])).
% 0.19/0.49 fof(f52,plain,(
% 0.19/0.49 top_str(sk0_0)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f50])).
% 0.19/0.49 fof(f53,plain,(
% 0.19/0.49 element(sk0_1,powerset(powerset(the_carrier(sk0_0))))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f50])).
% 0.19/0.49 fof(f54,plain,(
% 0.19/0.49 ![X0]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|element(sk0_2(X0),powerset(the_carrier(sk0_0))))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f50])).
% 0.19/0.49 fof(f55,plain,(
% 0.19/0.49 ![X0]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|in(sk0_2(X0),X0)|in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(X0)),sk0_1))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f50])).
% 0.19/0.49 fof(f56,plain,(
% 0.19/0.49 ![X0]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|~in(sk0_2(X0),X0)|~in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(X0)),sk0_1))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f50])).
% 0.19/0.49 fof(f145,plain,(
% 0.19/0.49 ![A]: (element(sk0_6(A),powerset(A))&empty(sk0_6(A)))),
% 0.19/0.49 inference(skolemization,[status(esa)],[f26])).
% 0.19/0.49 fof(f146,plain,(
% 0.19/0.49 ![X0]: (element(sk0_6(X0),powerset(X0)))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f145])).
% 0.19/0.49 fof(f147,plain,(
% 0.19/0.49 ![X0]: (empty(sk0_6(X0)))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f145])).
% 0.19/0.49 fof(f162,plain,(
% 0.19/0.49 ![X0]: (~empty(powerset(X0)))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f36])).
% 0.19/0.49 fof(f163,plain,(
% 0.19/0.49 ![A,B]: (((~topological_space(A)|~top_str(A))|~element(B,powerset(powerset(the_carrier(A)))))|(?[C]: ![D]: (in(D,C)<=>(in(D,powerset(the_carrier(A)))&in(set_difference(cast_as_carrier_subset(A),D),B)))))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.19/0.49 fof(f164,plain,(
% 0.19/0.49 ![A,B]: (((~topological_space(A)|~top_str(A))|~element(B,powerset(powerset(the_carrier(A)))))|(?[C]: ![D]: ((~in(D,C)|(in(D,powerset(the_carrier(A)))&in(set_difference(cast_as_carrier_subset(A),D),B)))&(in(D,C)|(~in(D,powerset(the_carrier(A)))|~in(set_difference(cast_as_carrier_subset(A),D),B))))))),
% 0.19/0.49 inference(NNF_transformation,[status(esa)],[f163])).
% 0.19/0.49 fof(f165,plain,(
% 0.19/0.49 ![A,B]: (((~topological_space(A)|~top_str(A))|~element(B,powerset(powerset(the_carrier(A)))))|(?[C]: ((![D]: (~in(D,C)|(in(D,powerset(the_carrier(A)))&in(set_difference(cast_as_carrier_subset(A),D),B))))&(![D]: (in(D,C)|(~in(D,powerset(the_carrier(A)))|~in(set_difference(cast_as_carrier_subset(A),D),B)))))))),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f164])).
% 0.19/0.49 fof(f166,plain,(
% 0.19/0.49 ![A,B]: (((~topological_space(A)|~top_str(A))|~element(B,powerset(powerset(the_carrier(A)))))|((![D]: (~in(D,sk0_7(B,A))|(in(D,powerset(the_carrier(A)))&in(set_difference(cast_as_carrier_subset(A),D),B))))&(![D]: (in(D,sk0_7(B,A))|(~in(D,powerset(the_carrier(A)))|~in(set_difference(cast_as_carrier_subset(A),D),B))))))),
% 0.19/0.49 inference(skolemization,[status(esa)],[f165])).
% 0.19/0.49 fof(f167,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|~in(X2,sk0_7(X1,X0))|in(X2,powerset(the_carrier(X0))))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f166])).
% 0.19/0.49 fof(f168,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|~in(X2,sk0_7(X1,X0))|in(set_difference(cast_as_carrier_subset(X0),X2),X1))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f166])).
% 0.19/0.49 fof(f169,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|in(X2,sk0_7(X1,X0))|~in(X2,powerset(the_carrier(X0)))|~in(set_difference(cast_as_carrier_subset(X0),X2),X1))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f166])).
% 0.19/0.49 fof(f170,plain,(
% 0.19/0.49 ![A,B]: ((empty(A)|(element(B,A)<=>in(B,A)))&(~empty(A)|(element(B,A)<=>empty(B))))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.19/0.49 fof(f171,plain,(
% 0.19/0.49 ![A,B]: ((empty(A)|((~element(B,A)|in(B,A))&(element(B,A)|~in(B,A))))&(~empty(A)|((~element(B,A)|empty(B))&(element(B,A)|~empty(B)))))),
% 0.19/0.49 inference(NNF_transformation,[status(esa)],[f170])).
% 0.19/0.49 fof(f172,plain,(
% 0.19/0.49 (![A]: (empty(A)|((![B]: (~element(B,A)|in(B,A)))&(![B]: (element(B,A)|~in(B,A))))))&(![A]: (~empty(A)|((![B]: (~element(B,A)|empty(B)))&(![B]: (element(B,A)|~empty(B))))))),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f171])).
% 0.19/0.49 fof(f173,plain,(
% 0.19/0.49 ![X0,X1]: (empty(X0)|~element(X1,X0)|in(X1,X0))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f172])).
% 0.19/0.49 fof(f177,plain,(
% 0.19/0.49 ![A]: element(sk0_8(A),A)),
% 0.19/0.49 inference(skolemization,[status(esa)],[f40])).
% 0.19/0.49 fof(f178,plain,(
% 0.19/0.49 ![X0]: (element(sk0_8(X0),X0))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f177])).
% 0.19/0.49 fof(f179,plain,(
% 0.19/0.49 empty(empty_set)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f41])).
% 0.19/0.49 fof(f180,plain,(
% 0.19/0.49 ![A,B]: ((?[C]: (in(C,A)&~in(C,B)))|element(A,powerset(B)))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.19/0.49 fof(f181,plain,(
% 0.19/0.49 ![A,B]: ((in(sk0_9(B,A),A)&~in(sk0_9(B,A),B))|element(A,powerset(B)))),
% 0.19/0.49 inference(skolemization,[status(esa)],[f180])).
% 0.19/0.49 fof(f182,plain,(
% 0.19/0.49 ![X0,X1]: (in(sk0_9(X0,X1),X1)|element(X1,powerset(X0)))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f181])).
% 0.19/0.49 fof(f183,plain,(
% 0.19/0.49 ![X0,X1]: (~in(sk0_9(X0,X1),X0)|element(X1,powerset(X0)))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f181])).
% 0.19/0.49 fof(f188,plain,(
% 0.19/0.49 ![A]: (~empty(A)|A=empty_set)),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.19/0.49 fof(f189,plain,(
% 0.19/0.49 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f188])).
% 0.19/0.49 fof(f206,plain,(
% 0.19/0.49 spl0_2 <=> empty(powerset(the_carrier(sk0_0)))),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f207,plain,(
% 0.19/0.49 empty(powerset(the_carrier(sk0_0)))|~spl0_2),
% 0.19/0.49 inference(component_clause,[status(thm)],[f206])).
% 0.19/0.49 fof(f270,plain,(
% 0.19/0.49 $false|~spl0_2),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f207,f162])).
% 0.19/0.49 fof(f271,plain,(
% 0.19/0.49 ~spl0_2),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f270])).
% 0.19/0.49 fof(f412,plain,(
% 0.19/0.49 ![X0]: (sk0_6(X0)=empty_set)),
% 0.19/0.49 inference(resolution,[status(thm)],[f189,f147])).
% 0.19/0.49 fof(f591,plain,(
% 0.19/0.49 ![X0]: (element(empty_set,powerset(X0)))),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f412,f146])).
% 0.19/0.49 fof(f636,plain,(
% 0.19/0.49 ![X0]: (empty(powerset(X0))|in(empty_set,powerset(X0)))),
% 0.19/0.49 inference(resolution,[status(thm)],[f591,f173])).
% 0.19/0.49 fof(f637,plain,(
% 0.19/0.49 ![X0]: (in(empty_set,powerset(X0)))),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f636,f162])).
% 0.19/0.49 fof(f952,plain,(
% 0.19/0.49 spl0_85 <=> empty(empty_set)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f954,plain,(
% 0.19/0.49 ~empty(empty_set)|spl0_85),
% 0.19/0.49 inference(component_clause,[status(thm)],[f952])).
% 0.19/0.49 fof(f1693,plain,(
% 0.19/0.49 spl0_139 <=> topological_space(sk0_0)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f1695,plain,(
% 0.19/0.49 ~topological_space(sk0_0)|spl0_139),
% 0.19/0.49 inference(component_clause,[status(thm)],[f1693])).
% 0.19/0.49 fof(f1696,plain,(
% 0.19/0.49 spl0_140 <=> top_str(sk0_0)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f1698,plain,(
% 0.19/0.49 ~top_str(sk0_0)|spl0_140),
% 0.19/0.49 inference(component_clause,[status(thm)],[f1696])).
% 0.19/0.49 fof(f1699,plain,(
% 0.19/0.49 spl0_141 <=> ~in(X0,sk0_7(sk0_1,sk0_0))|in(X0,powerset(the_carrier(sk0_0)))),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f1700,plain,(
% 0.19/0.49 ![X0]: (~in(X0,sk0_7(sk0_1,sk0_0))|in(X0,powerset(the_carrier(sk0_0)))|~spl0_141)),
% 0.19/0.49 inference(component_clause,[status(thm)],[f1699])).
% 0.19/0.49 fof(f1702,plain,(
% 0.19/0.49 ![X0]: (~topological_space(sk0_0)|~top_str(sk0_0)|~in(X0,sk0_7(sk0_1,sk0_0))|in(X0,powerset(the_carrier(sk0_0))))),
% 0.19/0.49 inference(resolution,[status(thm)],[f167,f53])).
% 0.19/0.49 fof(f1703,plain,(
% 0.19/0.49 ~spl0_139|~spl0_140|spl0_141),
% 0.19/0.49 inference(split_clause,[status(thm)],[f1702,f1693,f1696,f1699])).
% 0.19/0.49 fof(f1705,plain,(
% 0.19/0.49 $false|spl0_140),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1698,f52])).
% 0.19/0.49 fof(f1706,plain,(
% 0.19/0.49 spl0_140),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f1705])).
% 0.19/0.49 fof(f1707,plain,(
% 0.19/0.49 $false|spl0_139),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1695,f51])).
% 0.19/0.49 fof(f1708,plain,(
% 0.19/0.49 spl0_139),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f1707])).
% 0.19/0.49 fof(f1853,plain,(
% 0.19/0.49 spl0_142 <=> ~in(X0,sk0_7(sk0_1,sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_1)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f1854,plain,(
% 0.19/0.49 ![X0]: (~in(X0,sk0_7(sk0_1,sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_1)|~spl0_142)),
% 0.19/0.49 inference(component_clause,[status(thm)],[f1853])).
% 0.19/0.49 fof(f1856,plain,(
% 0.19/0.49 ![X0]: (~topological_space(sk0_0)|~top_str(sk0_0)|~in(X0,sk0_7(sk0_1,sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_1))),
% 0.19/0.49 inference(resolution,[status(thm)],[f168,f53])).
% 0.19/0.49 fof(f1857,plain,(
% 0.19/0.49 ~spl0_139|~spl0_140|spl0_142),
% 0.19/0.49 inference(split_clause,[status(thm)],[f1856,f1693,f1696,f1853])).
% 0.19/0.49 fof(f1859,plain,(
% 0.19/0.49 spl0_143 <=> element(sk0_1,powerset(powerset(the_carrier(sk0_0))))),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f1861,plain,(
% 0.19/0.49 ~element(sk0_1,powerset(powerset(the_carrier(sk0_0))))|spl0_143),
% 0.19/0.49 inference(component_clause,[status(thm)],[f1859])).
% 0.19/0.49 fof(f1862,plain,(
% 0.19/0.49 spl0_144 <=> in(sk0_2(X0),sk0_7(sk0_1,sk0_0))|~in(sk0_2(X0),powerset(the_carrier(sk0_0)))|~element(X0,powerset(powerset(the_carrier(sk0_0))))|in(sk0_2(X0),X0)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f1863,plain,(
% 0.19/0.49 ![X0]: (in(sk0_2(X0),sk0_7(sk0_1,sk0_0))|~in(sk0_2(X0),powerset(the_carrier(sk0_0)))|~element(X0,powerset(powerset(the_carrier(sk0_0))))|in(sk0_2(X0),X0)|~spl0_144)),
% 0.19/0.49 inference(component_clause,[status(thm)],[f1862])).
% 0.19/0.49 fof(f1865,plain,(
% 0.19/0.49 ![X0]: (~topological_space(sk0_0)|~top_str(sk0_0)|~element(sk0_1,powerset(powerset(the_carrier(sk0_0))))|in(sk0_2(X0),sk0_7(sk0_1,sk0_0))|~in(sk0_2(X0),powerset(the_carrier(sk0_0)))|~element(X0,powerset(powerset(the_carrier(sk0_0))))|in(sk0_2(X0),X0))),
% 0.19/0.49 inference(resolution,[status(thm)],[f169,f55])).
% 0.19/0.49 fof(f1866,plain,(
% 0.19/0.49 ~spl0_139|~spl0_140|~spl0_143|spl0_144),
% 0.19/0.49 inference(split_clause,[status(thm)],[f1865,f1693,f1696,f1859,f1862])).
% 0.19/0.49 fof(f1867,plain,(
% 0.19/0.49 $false|spl0_143),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1861,f53])).
% 0.19/0.49 fof(f1868,plain,(
% 0.19/0.49 spl0_143),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f1867])).
% 0.19/0.49 fof(f1873,plain,(
% 0.19/0.49 ![X0]: (in(sk0_9(X0,sk0_7(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|element(sk0_7(sk0_1,sk0_0),powerset(X0))|~spl0_141)),
% 0.19/0.49 inference(resolution,[status(thm)],[f1700,f182])).
% 0.19/0.49 fof(f1947,plain,(
% 0.19/0.49 ![X0]: (~in(sk0_2(X0),sk0_7(sk0_1,sk0_0))|~element(X0,powerset(powerset(the_carrier(sk0_0))))|~in(sk0_2(X0),X0)|~spl0_142)),
% 0.19/0.49 inference(resolution,[status(thm)],[f1854,f56])).
% 0.19/0.49 fof(f1974,plain,(
% 0.19/0.49 spl0_161 <=> element(empty_set,powerset(powerset(the_carrier(sk0_0))))),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f1976,plain,(
% 0.19/0.49 ~element(empty_set,powerset(powerset(the_carrier(sk0_0))))|spl0_161),
% 0.19/0.49 inference(component_clause,[status(thm)],[f1974])).
% 0.19/0.49 fof(f1982,plain,(
% 0.19/0.49 spl0_163 <=> element(sk0_8(powerset(powerset(the_carrier(sk0_0)))),powerset(powerset(the_carrier(sk0_0))))),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f1984,plain,(
% 0.19/0.49 ~element(sk0_8(powerset(powerset(the_carrier(sk0_0)))),powerset(powerset(the_carrier(sk0_0))))|spl0_163),
% 0.19/0.49 inference(component_clause,[status(thm)],[f1982])).
% 0.19/0.49 fof(f1992,plain,(
% 0.19/0.49 $false|spl0_161),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1976,f591])).
% 0.19/0.49 fof(f1993,plain,(
% 0.19/0.49 spl0_161),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f1992])).
% 0.19/0.49 fof(f1994,plain,(
% 0.19/0.49 $false|spl0_163),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1984,f178])).
% 0.19/0.49 fof(f1995,plain,(
% 0.19/0.49 spl0_163),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f1994])).
% 0.19/0.49 fof(f2125,plain,(
% 0.19/0.49 spl0_172 <=> in(empty_set,powerset(the_carrier(sk0_0)))),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f2127,plain,(
% 0.19/0.49 ~in(empty_set,powerset(the_carrier(sk0_0)))|spl0_172),
% 0.19/0.49 inference(component_clause,[status(thm)],[f2125])).
% 0.19/0.49 fof(f2147,plain,(
% 0.19/0.49 $false|spl0_172),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f2127,f637])).
% 0.19/0.49 fof(f2148,plain,(
% 0.19/0.49 spl0_172),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f2147])).
% 0.19/0.49 fof(f2534,plain,(
% 0.19/0.49 spl0_207 <=> element(sk0_7(sk0_1,sk0_0),powerset(powerset(the_carrier(sk0_0))))),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f2535,plain,(
% 0.19/0.49 element(sk0_7(sk0_1,sk0_0),powerset(powerset(the_carrier(sk0_0))))|~spl0_207),
% 0.19/0.49 inference(component_clause,[status(thm)],[f2534])).
% 0.19/0.49 fof(f2537,plain,(
% 0.19/0.49 element(sk0_7(sk0_1,sk0_0),powerset(powerset(the_carrier(sk0_0))))|element(sk0_7(sk0_1,sk0_0),powerset(powerset(the_carrier(sk0_0))))|~spl0_141),
% 0.19/0.49 inference(resolution,[status(thm)],[f183,f1873])).
% 0.19/0.49 fof(f2538,plain,(
% 0.19/0.49 spl0_207|~spl0_141),
% 0.19/0.49 inference(split_clause,[status(thm)],[f2537,f2534,f1699])).
% 0.19/0.49 fof(f2722,plain,(
% 0.19/0.49 $false|spl0_85),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f954,f179])).
% 0.19/0.49 fof(f2723,plain,(
% 0.19/0.49 spl0_85),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f2722])).
% 0.19/0.49 fof(f2832,plain,(
% 0.19/0.49 element(sk0_2(sk0_7(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|~spl0_207),
% 0.19/0.49 inference(resolution,[status(thm)],[f2535,f54])).
% 0.19/0.49 fof(f3033,plain,(
% 0.19/0.49 spl0_241 <=> in(sk0_2(sk0_7(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f3034,plain,(
% 0.19/0.49 in(sk0_2(sk0_7(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|~spl0_241),
% 0.19/0.49 inference(component_clause,[status(thm)],[f3033])).
% 0.19/0.49 fof(f3036,plain,(
% 0.19/0.49 empty(powerset(the_carrier(sk0_0)))|in(sk0_2(sk0_7(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|~spl0_207),
% 0.19/0.50 inference(resolution,[status(thm)],[f2832,f173])).
% 0.19/0.50 fof(f3037,plain,(
% 0.19/0.50 spl0_2|spl0_241|~spl0_207),
% 0.19/0.50 inference(split_clause,[status(thm)],[f3036,f206,f3033,f2534])).
% 0.19/0.50 fof(f3046,plain,(
% 0.19/0.50 spl0_242 <=> in(sk0_2(sk0_7(sk0_1,sk0_0)),sk0_7(sk0_1,sk0_0))),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f3047,plain,(
% 0.19/0.50 in(sk0_2(sk0_7(sk0_1,sk0_0)),sk0_7(sk0_1,sk0_0))|~spl0_242),
% 0.19/0.50 inference(component_clause,[status(thm)],[f3046])).
% 0.19/0.50 fof(f3049,plain,(
% 0.19/0.50 in(sk0_2(sk0_7(sk0_1,sk0_0)),sk0_7(sk0_1,sk0_0))|~element(sk0_7(sk0_1,sk0_0),powerset(powerset(the_carrier(sk0_0))))|in(sk0_2(sk0_7(sk0_1,sk0_0)),sk0_7(sk0_1,sk0_0))|~spl0_241|~spl0_144),
% 0.19/0.50 inference(resolution,[status(thm)],[f3034,f1863])).
% 0.19/0.50 fof(f3050,plain,(
% 0.19/0.50 spl0_242|~spl0_207|~spl0_241|~spl0_144),
% 0.19/0.50 inference(split_clause,[status(thm)],[f3049,f3046,f2534,f3033,f1862])).
% 0.19/0.50 fof(f3411,plain,(
% 0.19/0.50 ~element(sk0_7(sk0_1,sk0_0),powerset(powerset(the_carrier(sk0_0))))|~in(sk0_2(sk0_7(sk0_1,sk0_0)),sk0_7(sk0_1,sk0_0))|~spl0_242|~spl0_142),
% 0.19/0.50 inference(resolution,[status(thm)],[f3047,f1947])).
% 0.19/0.50 fof(f3412,plain,(
% 0.19/0.50 ~spl0_207|~spl0_242|~spl0_142),
% 0.19/0.50 inference(split_clause,[status(thm)],[f3411,f2534,f3046,f1853])).
% 0.19/0.50 fof(f3417,plain,(
% 0.19/0.50 $false),
% 0.19/0.50 inference(sat_refutation,[status(thm)],[f271,f1703,f1706,f1708,f1857,f1866,f1868,f1993,f1995,f2148,f2538,f2723,f3037,f3050,f3412])).
% 0.19/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.50 % Elapsed time: 0.155309 seconds
% 0.19/0.50 % CPU time: 1.110143 seconds
% 0.19/0.50 % Memory used: 59.941 MB
%------------------------------------------------------------------------------