TSTP Solution File: SEU026+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU026+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : Tue Apr 30 20:40:54 EDT 2024
% Result : Theorem 0.21s 0.42s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU026+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 20:19:02 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.21/0.42 % Refutation found
% 0.21/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.42 fof(f5,axiom,(
% 0.21/0.42 (! [A] :( ( relation(A)& function(A) )=> ( relation(function_inverse(A))& function(function_inverse(A)) ) ) )),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f9,axiom,(
% 0.21/0.42 ( empty(empty_set)& relation(empty_set)& relation_empty_yielding(empty_set) ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f17,axiom,(
% 0.21/0.42 (! [A] :( empty(A)=> ( empty(relation_rng(A))& relation(relation_rng(A)) ) ) )),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f23,axiom,(
% 0.21/0.42 (? [A] :( relation(A)& empty(A)& function(A) ) )),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f25,axiom,(
% 0.21/0.42 (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f27,axiom,(
% 0.21/0.42 (? [A] :( relation(A)& function(A)& one_to_one(A) ) )),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f29,axiom,(
% 0.21/0.42 (! [A,B] : subset(A,A) )),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f32,axiom,(
% 0.21/0.42 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f33,axiom,(
% 0.21/0.42 (! [A] :( relation(A)=> (! [B] :( relation(B)=> ( subset(relation_rng(A),relation_dom(B))=> relation_dom(relation_composition(A,B)) = relation_dom(A) ) ) )) )),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f34,axiom,(
% 0.21/0.42 (! [A] :( relation(A)=> (! [B] :( relation(B)=> ( subset(relation_dom(A),relation_rng(B))=> relation_rng(relation_composition(B,A)) = relation_rng(A) ) ) )) )),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f36,axiom,(
% 0.21/0.42 (! [A] :( ( relation(A)& function(A) )=> ( one_to_one(A)=> ( relation_rng(A) = relation_dom(function_inverse(A))& relation_dom(A) = relation_rng(function_inverse(A)) ) ) ) )),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f37,conjecture,(
% 0.21/0.42 (! [A] :( ( relation(A)& function(A) )=> ( one_to_one(A)=> ( relation_dom(relation_composition(function_inverse(A),A)) = relation_rng(A)& relation_rng(relation_composition(function_inverse(A),A)) = relation_rng(A) ) ) ) )),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f38,negated_conjecture,(
% 0.21/0.42 ~((! [A] :( ( relation(A)& function(A) )=> ( one_to_one(A)=> ( relation_dom(relation_composition(function_inverse(A),A)) = relation_rng(A)& relation_rng(relation_composition(function_inverse(A),A)) = relation_rng(A) ) ) ) ))),
% 0.21/0.42 inference(negated_conjecture,[status(cth)],[f37])).
% 0.21/0.42 fof(f40,axiom,(
% 0.21/0.42 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f53,plain,(
% 0.21/0.42 ![A]: ((~relation(A)|~function(A))|(relation(function_inverse(A))&function(function_inverse(A))))),
% 0.21/0.42 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.21/0.42 fof(f54,plain,(
% 0.21/0.42 ![X0]: (~relation(X0)|~function(X0)|relation(function_inverse(X0)))),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f53])).
% 0.21/0.42 fof(f63,plain,(
% 0.21/0.42 empty(empty_set)),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.42 fof(f64,plain,(
% 0.21/0.42 relation(empty_set)),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.42 fof(f80,plain,(
% 0.21/0.42 ![A]: (~empty(A)|(empty(relation_rng(A))&relation(relation_rng(A))))),
% 0.21/0.42 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.21/0.42 fof(f81,plain,(
% 0.21/0.42 ![X0]: (~empty(X0)|empty(relation_rng(X0)))),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f80])).
% 0.21/0.42 fof(f98,plain,(
% 0.21/0.42 ((relation(sk0_5)&empty(sk0_5))&function(sk0_5))),
% 0.21/0.42 inference(skolemization,[status(esa)],[f23])).
% 0.21/0.42 fof(f99,plain,(
% 0.21/0.42 relation(sk0_5)),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f98])).
% 0.21/0.42 fof(f100,plain,(
% 0.21/0.42 empty(sk0_5)),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f98])).
% 0.21/0.42 fof(f101,plain,(
% 0.21/0.42 function(sk0_5)),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f98])).
% 0.21/0.42 fof(f105,plain,(
% 0.21/0.42 ![A]: (element(sk0_7(A),powerset(A))&empty(sk0_7(A)))),
% 0.21/0.42 inference(skolemization,[status(esa)],[f25])).
% 0.21/0.42 fof(f106,plain,(
% 0.21/0.42 ![X0]: (element(sk0_7(X0),powerset(X0)))),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f105])).
% 0.21/0.42 fof(f107,plain,(
% 0.21/0.42 ![X0]: (empty(sk0_7(X0)))),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f105])).
% 0.21/0.42 fof(f110,plain,(
% 0.21/0.42 ((relation(sk0_9)&function(sk0_9))&one_to_one(sk0_9))),
% 0.21/0.42 inference(skolemization,[status(esa)],[f27])).
% 0.21/0.42 fof(f111,plain,(
% 0.21/0.42 relation(sk0_9)),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f110])).
% 0.21/0.42 fof(f112,plain,(
% 0.21/0.42 function(sk0_9)),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f110])).
% 0.21/0.42 fof(f117,plain,(
% 0.21/0.42 ![A]: subset(A,A)),
% 0.21/0.42 inference(miniscoping,[status(esa)],[f29])).
% 0.21/0.42 fof(f118,plain,(
% 0.21/0.42 ![X0]: (subset(X0,X0))),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f117])).
% 0.21/0.42 fof(f123,plain,(
% 0.21/0.42 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.21/0.42 inference(NNF_transformation,[status(esa)],[f32])).
% 0.21/0.42 fof(f124,plain,(
% 0.21/0.42 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.21/0.42 inference(miniscoping,[status(esa)],[f123])).
% 0.21/0.42 fof(f125,plain,(
% 0.21/0.42 ![X0,X1]: (~element(X0,powerset(X1))|subset(X0,X1))),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f124])).
% 0.21/0.42 fof(f127,plain,(
% 0.21/0.42 ![A]: (~relation(A)|(![B]: (~relation(B)|(~subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A)))))),
% 0.21/0.42 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 0.21/0.42 fof(f128,plain,(
% 0.21/0.42 ![X0,X1]: (~relation(X0)|~relation(X1)|~subset(relation_rng(X0),relation_dom(X1))|relation_dom(relation_composition(X0,X1))=relation_dom(X0))),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f127])).
% 0.21/0.42 fof(f129,plain,(
% 0.21/0.42 ![A]: (~relation(A)|(![B]: (~relation(B)|(~subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A)))))),
% 0.21/0.42 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 0.21/0.42 fof(f130,plain,(
% 0.21/0.42 ![X0,X1]: (~relation(X0)|~relation(X1)|~subset(relation_dom(X0),relation_rng(X1))|relation_rng(relation_composition(X1,X0))=relation_rng(X0))),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f129])).
% 0.21/0.42 fof(f134,plain,(
% 0.21/0.42 ![A]: ((~relation(A)|~function(A))|(~one_to_one(A)|(relation_rng(A)=relation_dom(function_inverse(A))&relation_dom(A)=relation_rng(function_inverse(A)))))),
% 0.21/0.42 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.21/0.42 fof(f135,plain,(
% 0.21/0.42 ![X0]: (~relation(X0)|~function(X0)|~one_to_one(X0)|relation_rng(X0)=relation_dom(function_inverse(X0)))),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f134])).
% 0.21/0.42 fof(f136,plain,(
% 0.21/0.42 ![X0]: (~relation(X0)|~function(X0)|~one_to_one(X0)|relation_dom(X0)=relation_rng(function_inverse(X0)))),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f134])).
% 0.21/0.42 fof(f137,plain,(
% 0.21/0.42 (?[A]: ((relation(A)&function(A))&(one_to_one(A)&(~relation_dom(relation_composition(function_inverse(A),A))=relation_rng(A)|~relation_rng(relation_composition(function_inverse(A),A))=relation_rng(A)))))),
% 0.21/0.42 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.21/0.42 fof(f138,plain,(
% 0.21/0.42 ((relation(sk0_11)&function(sk0_11))&(one_to_one(sk0_11)&(~relation_dom(relation_composition(function_inverse(sk0_11),sk0_11))=relation_rng(sk0_11)|~relation_rng(relation_composition(function_inverse(sk0_11),sk0_11))=relation_rng(sk0_11))))),
% 0.21/0.42 inference(skolemization,[status(esa)],[f137])).
% 0.21/0.42 fof(f139,plain,(
% 0.21/0.42 relation(sk0_11)),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f138])).
% 0.21/0.42 fof(f140,plain,(
% 0.21/0.42 function(sk0_11)),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f138])).
% 0.21/0.42 fof(f141,plain,(
% 0.21/0.42 one_to_one(sk0_11)),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f138])).
% 0.21/0.42 fof(f142,plain,(
% 0.21/0.42 ~relation_dom(relation_composition(function_inverse(sk0_11),sk0_11))=relation_rng(sk0_11)|~relation_rng(relation_composition(function_inverse(sk0_11),sk0_11))=relation_rng(sk0_11)),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f138])).
% 0.21/0.42 fof(f146,plain,(
% 0.21/0.42 ![A]: (~empty(A)|A=empty_set)),
% 0.21/0.42 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 0.21/0.42 fof(f147,plain,(
% 0.21/0.42 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f146])).
% 0.21/0.42 fof(f154,plain,(
% 0.21/0.42 spl0_0 <=> relation_dom(relation_composition(function_inverse(sk0_11),sk0_11))=relation_rng(sk0_11)),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f157,plain,(
% 0.21/0.42 spl0_1 <=> relation_rng(relation_composition(function_inverse(sk0_11),sk0_11))=relation_rng(sk0_11)),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f160,plain,(
% 0.21/0.42 ~spl0_0|~spl0_1),
% 0.21/0.42 inference(split_clause,[status(thm)],[f142,f154,f157])).
% 0.21/0.42 fof(f163,plain,(
% 0.21/0.42 spl0_2 <=> relation(sk0_11)),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f165,plain,(
% 0.21/0.42 ~relation(sk0_11)|spl0_2),
% 0.21/0.42 inference(component_clause,[status(thm)],[f163])).
% 0.21/0.42 fof(f166,plain,(
% 0.21/0.42 spl0_3 <=> function(sk0_11)),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f168,plain,(
% 0.21/0.42 ~function(sk0_11)|spl0_3),
% 0.21/0.42 inference(component_clause,[status(thm)],[f166])).
% 0.21/0.42 fof(f169,plain,(
% 0.21/0.42 spl0_4 <=> relation_rng(sk0_11)=relation_dom(function_inverse(sk0_11))),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f170,plain,(
% 0.21/0.42 relation_rng(sk0_11)=relation_dom(function_inverse(sk0_11))|~spl0_4),
% 0.21/0.42 inference(component_clause,[status(thm)],[f169])).
% 0.21/0.42 fof(f172,plain,(
% 0.21/0.42 ~relation(sk0_11)|~function(sk0_11)|relation_rng(sk0_11)=relation_dom(function_inverse(sk0_11))),
% 0.21/0.42 inference(resolution,[status(thm)],[f135,f141])).
% 0.21/0.42 fof(f173,plain,(
% 0.21/0.42 ~spl0_2|~spl0_3|spl0_4),
% 0.21/0.42 inference(split_clause,[status(thm)],[f172,f163,f166,f169])).
% 0.21/0.42 fof(f176,plain,(
% 0.21/0.42 $false|spl0_3),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f168,f140])).
% 0.21/0.42 fof(f177,plain,(
% 0.21/0.42 spl0_3),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f176])).
% 0.21/0.42 fof(f178,plain,(
% 0.21/0.42 $false|spl0_2),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f165,f139])).
% 0.21/0.42 fof(f179,plain,(
% 0.21/0.42 spl0_2),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f178])).
% 0.21/0.42 fof(f183,plain,(
% 0.21/0.42 spl0_6 <=> relation(function_inverse(sk0_11))),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f185,plain,(
% 0.21/0.42 ~relation(function_inverse(sk0_11))|spl0_6),
% 0.21/0.42 inference(component_clause,[status(thm)],[f183])).
% 0.21/0.42 fof(f198,plain,(
% 0.21/0.42 ~relation(sk0_11)|~function(sk0_11)|spl0_6),
% 0.21/0.42 inference(resolution,[status(thm)],[f185,f54])).
% 0.21/0.42 fof(f199,plain,(
% 0.21/0.42 ~spl0_2|~spl0_3|spl0_6),
% 0.21/0.42 inference(split_clause,[status(thm)],[f198,f163,f166,f183])).
% 0.21/0.42 fof(f237,plain,(
% 0.21/0.42 spl0_14 <=> relation_dom(sk0_11)=relation_rng(function_inverse(sk0_11))),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f238,plain,(
% 0.21/0.42 relation_dom(sk0_11)=relation_rng(function_inverse(sk0_11))|~spl0_14),
% 0.21/0.42 inference(component_clause,[status(thm)],[f237])).
% 0.21/0.42 fof(f240,plain,(
% 0.21/0.42 ~relation(sk0_11)|~function(sk0_11)|relation_dom(sk0_11)=relation_rng(function_inverse(sk0_11))),
% 0.21/0.42 inference(resolution,[status(thm)],[f136,f141])).
% 0.21/0.42 fof(f241,plain,(
% 0.21/0.42 ~spl0_2|~spl0_3|spl0_14),
% 0.21/0.42 inference(split_clause,[status(thm)],[f240,f163,f166,f237])).
% 0.21/0.42 fof(f273,plain,(
% 0.21/0.42 spl0_19 <=> empty(relation_rng(sk0_5))),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f275,plain,(
% 0.21/0.42 ~empty(relation_rng(sk0_5))|spl0_19),
% 0.21/0.42 inference(component_clause,[status(thm)],[f273])).
% 0.21/0.42 fof(f285,plain,(
% 0.21/0.42 spl0_21 <=> relation(sk0_5)),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f287,plain,(
% 0.21/0.42 ~relation(sk0_5)|spl0_21),
% 0.21/0.42 inference(component_clause,[status(thm)],[f285])).
% 0.21/0.42 fof(f288,plain,(
% 0.21/0.42 spl0_22 <=> function(sk0_5)),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f290,plain,(
% 0.21/0.42 ~function(sk0_5)|spl0_22),
% 0.21/0.42 inference(component_clause,[status(thm)],[f288])).
% 0.21/0.42 fof(f294,plain,(
% 0.21/0.42 $false|spl0_21),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f287,f99])).
% 0.21/0.42 fof(f295,plain,(
% 0.21/0.42 spl0_21),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f294])).
% 0.21/0.42 fof(f296,plain,(
% 0.21/0.42 $false|spl0_22),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f290,f101])).
% 0.21/0.42 fof(f297,plain,(
% 0.21/0.42 spl0_22),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f296])).
% 0.21/0.42 fof(f564,plain,(
% 0.21/0.42 spl0_68 <=> relation(sk0_9)),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f566,plain,(
% 0.21/0.42 ~relation(sk0_9)|spl0_68),
% 0.21/0.42 inference(component_clause,[status(thm)],[f564])).
% 0.21/0.42 fof(f567,plain,(
% 0.21/0.42 spl0_69 <=> function(sk0_9)),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f569,plain,(
% 0.21/0.42 ~function(sk0_9)|spl0_69),
% 0.21/0.42 inference(component_clause,[status(thm)],[f567])).
% 0.21/0.42 fof(f580,plain,(
% 0.21/0.42 $false|spl0_69),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f569,f112])).
% 0.21/0.42 fof(f581,plain,(
% 0.21/0.42 spl0_69),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f580])).
% 0.21/0.42 fof(f582,plain,(
% 0.21/0.42 $false|spl0_68),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f566,f111])).
% 0.21/0.42 fof(f583,plain,(
% 0.21/0.42 spl0_68),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f582])).
% 0.21/0.42 fof(f591,plain,(
% 0.21/0.42 ![X0]: (sk0_7(X0)=empty_set)),
% 0.21/0.42 inference(resolution,[status(thm)],[f147,f107])).
% 0.21/0.42 fof(f592,plain,(
% 0.21/0.42 sk0_5=empty_set),
% 0.21/0.42 inference(resolution,[status(thm)],[f147,f100])).
% 0.21/0.42 fof(f608,plain,(
% 0.21/0.42 function(empty_set)),
% 0.21/0.42 inference(backward_demodulation,[status(thm)],[f592,f101])).
% 0.21/0.42 fof(f626,plain,(
% 0.21/0.42 ~empty(relation_rng(empty_set))|spl0_19),
% 0.21/0.42 inference(forward_demodulation,[status(thm)],[f592,f275])).
% 0.21/0.42 fof(f627,plain,(
% 0.21/0.42 ~empty(empty_set)|spl0_19),
% 0.21/0.42 inference(resolution,[status(thm)],[f626,f81])).
% 0.21/0.42 fof(f628,plain,(
% 0.21/0.42 $false|spl0_19),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f627,f63])).
% 0.21/0.42 fof(f629,plain,(
% 0.21/0.42 spl0_19),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f628])).
% 0.21/0.42 fof(f643,plain,(
% 0.21/0.42 spl0_72 <=> relation(empty_set)),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f645,plain,(
% 0.21/0.42 ~relation(empty_set)|spl0_72),
% 0.21/0.42 inference(component_clause,[status(thm)],[f643])).
% 0.21/0.42 fof(f646,plain,(
% 0.21/0.42 spl0_73 <=> function(empty_set)),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f648,plain,(
% 0.21/0.42 ~function(empty_set)|spl0_73),
% 0.21/0.42 inference(component_clause,[status(thm)],[f646])).
% 0.21/0.42 fof(f652,plain,(
% 0.21/0.42 $false|spl0_72),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f645,f64])).
% 0.21/0.42 fof(f653,plain,(
% 0.21/0.42 spl0_72),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f652])).
% 0.21/0.42 fof(f654,plain,(
% 0.21/0.42 $false|spl0_73),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f648,f608])).
% 0.21/0.42 fof(f655,plain,(
% 0.21/0.42 spl0_73),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f654])).
% 0.21/0.42 fof(f964,plain,(
% 0.21/0.42 ![X0]: (element(empty_set,powerset(X0)))),
% 0.21/0.42 inference(backward_demodulation,[status(thm)],[f591,f106])).
% 0.21/0.42 fof(f983,plain,(
% 0.21/0.42 ![X0]: (subset(empty_set,X0))),
% 0.21/0.42 inference(resolution,[status(thm)],[f125,f964])).
% 0.21/0.42 fof(f1050,plain,(
% 0.21/0.42 spl0_95 <=> ~relation(X0)|~subset(relation_dom(sk0_11),relation_dom(X0))|relation_dom(relation_composition(function_inverse(sk0_11),X0))=relation_dom(function_inverse(sk0_11))),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f1051,plain,(
% 0.21/0.42 ![X0]: (~relation(X0)|~subset(relation_dom(sk0_11),relation_dom(X0))|relation_dom(relation_composition(function_inverse(sk0_11),X0))=relation_dom(function_inverse(sk0_11))|~spl0_95)),
% 0.21/0.42 inference(component_clause,[status(thm)],[f1050])).
% 0.21/0.42 fof(f1053,plain,(
% 0.21/0.42 ![X0]: (~relation(function_inverse(sk0_11))|~relation(X0)|~subset(relation_dom(sk0_11),relation_dom(X0))|relation_dom(relation_composition(function_inverse(sk0_11),X0))=relation_dom(function_inverse(sk0_11))|~spl0_14)),
% 0.21/0.42 inference(paramodulation,[status(thm)],[f238,f128])).
% 0.21/0.42 fof(f1054,plain,(
% 0.21/0.42 ~spl0_6|spl0_95|~spl0_14),
% 0.21/0.42 inference(split_clause,[status(thm)],[f1053,f183,f1050,f237])).
% 0.21/0.42 fof(f1070,plain,(
% 0.21/0.42 ![X0]: (~relation(X0)|~subset(relation_dom(sk0_11),relation_dom(X0))|relation_dom(relation_composition(function_inverse(sk0_11),X0))=relation_rng(sk0_11)|~spl0_4|~spl0_95)),
% 0.21/0.42 inference(forward_demodulation,[status(thm)],[f170,f1051])).
% 0.21/0.42 fof(f1099,plain,(
% 0.21/0.42 spl0_104 <=> ~relation(X0)|~subset(relation_dom(X0),relation_dom(sk0_11))|relation_rng(relation_composition(function_inverse(sk0_11),X0))=relation_rng(X0)),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f1100,plain,(
% 0.21/0.42 ![X0]: (~relation(X0)|~subset(relation_dom(X0),relation_dom(sk0_11))|relation_rng(relation_composition(function_inverse(sk0_11),X0))=relation_rng(X0)|~spl0_104)),
% 0.21/0.42 inference(component_clause,[status(thm)],[f1099])).
% 0.21/0.42 fof(f1102,plain,(
% 0.21/0.42 ![X0]: (~relation(X0)|~relation(function_inverse(sk0_11))|~subset(relation_dom(X0),relation_dom(sk0_11))|relation_rng(relation_composition(function_inverse(sk0_11),X0))=relation_rng(X0)|~spl0_14)),
% 0.21/0.42 inference(paramodulation,[status(thm)],[f238,f130])).
% 0.21/0.42 fof(f1103,plain,(
% 0.21/0.42 spl0_104|~spl0_6|~spl0_14),
% 0.21/0.42 inference(split_clause,[status(thm)],[f1102,f1099,f183,f237])).
% 0.21/0.42 fof(f1140,plain,(
% 0.21/0.42 spl0_107 <=> subset(empty_set,relation_rng(sk0_11))),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f1142,plain,(
% 0.21/0.42 ~subset(empty_set,relation_rng(sk0_11))|spl0_107),
% 0.21/0.42 inference(component_clause,[status(thm)],[f1140])).
% 0.21/0.42 fof(f1164,plain,(
% 0.21/0.42 $false|spl0_107),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1142,f983])).
% 0.21/0.42 fof(f1165,plain,(
% 0.21/0.42 spl0_107),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f1164])).
% 0.21/0.42 fof(f1166,plain,(
% 0.21/0.42 ~relation(sk0_11)|relation_dom(relation_composition(function_inverse(sk0_11),sk0_11))=relation_rng(sk0_11)|~spl0_4|~spl0_95),
% 0.21/0.42 inference(resolution,[status(thm)],[f1070,f118])).
% 0.21/0.42 fof(f1167,plain,(
% 0.21/0.42 ~spl0_2|spl0_0|~spl0_4|~spl0_95),
% 0.21/0.42 inference(split_clause,[status(thm)],[f1166,f163,f154,f169,f1050])).
% 0.21/0.42 fof(f1836,plain,(
% 0.21/0.42 spl0_143 <=> subset(empty_set,relation_rng(sk0_9))),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f1838,plain,(
% 0.21/0.42 ~subset(empty_set,relation_rng(sk0_9))|spl0_143),
% 0.21/0.42 inference(component_clause,[status(thm)],[f1836])).
% 0.21/0.42 fof(f1854,plain,(
% 0.21/0.42 $false|spl0_143),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1838,f983])).
% 0.21/0.42 fof(f1855,plain,(
% 0.21/0.42 spl0_143),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f1854])).
% 0.21/0.42 fof(f1878,plain,(
% 0.21/0.42 ~relation(sk0_11)|relation_rng(relation_composition(function_inverse(sk0_11),sk0_11))=relation_rng(sk0_11)|~spl0_104),
% 0.21/0.42 inference(resolution,[status(thm)],[f1100,f118])).
% 0.21/0.42 fof(f1879,plain,(
% 0.21/0.42 ~spl0_2|spl0_1|~spl0_104),
% 0.21/0.42 inference(split_clause,[status(thm)],[f1878,f163,f157,f1099])).
% 0.21/0.42 fof(f1903,plain,(
% 0.21/0.42 $false),
% 0.21/0.42 inference(sat_refutation,[status(thm)],[f160,f173,f177,f179,f199,f241,f295,f297,f581,f583,f629,f653,f655,f1054,f1103,f1165,f1167,f1855,f1879])).
% 0.21/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.44 % Elapsed time: 0.085776 seconds
% 0.21/0.44 % CPU time: 0.557509 seconds
% 0.21/0.44 % Total memory used: 60.380 MB
% 0.21/0.44 % Net memory used: 59.981 MB
%------------------------------------------------------------------------------