TSTP Solution File: SEU025+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU025+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:35:43 EDT 2023
% Result : Theorem 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU025+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 30 09:10:04 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f5,axiom,(
% 0.14/0.38 (! [A] :( ( relation(A)& function(A) )=> ( relation(function_inverse(A))& function(function_inverse(A)) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f9,axiom,(
% 0.14/0.38 ( empty(empty_set)& relation(empty_set)& relation_empty_yielding(empty_set) ) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f17,axiom,(
% 0.14/0.38 (! [A] :( empty(A)=> ( empty(relation_rng(A))& relation(relation_rng(A)) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f23,axiom,(
% 0.14/0.38 (? [A] :( relation(A)& empty(A)& function(A) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f25,axiom,(
% 0.14/0.38 (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f27,axiom,(
% 0.14/0.38 (? [A] :( relation(A)& function(A)& one_to_one(A) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f29,axiom,(
% 0.14/0.38 (! [A,B] : subset(A,A) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f32,axiom,(
% 0.14/0.38 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f33,axiom,(
% 0.14/0.38 (! [A] :( relation(A)=> (! [B] :( relation(B)=> ( subset(relation_rng(A),relation_dom(B))=> relation_dom(relation_composition(A,B)) = relation_dom(A) ) ) )) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f34,axiom,(
% 0.14/0.38 (! [A] :( relation(A)=> (! [B] :( relation(B)=> ( subset(relation_dom(A),relation_rng(B))=> relation_rng(relation_composition(B,A)) = relation_rng(A) ) ) )) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f36,axiom,(
% 0.14/0.38 (! [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)) ) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f37,conjecture,(
% 0.14/0.38 (! [A] :( ( relation(A)& function(A) )=> ( one_to_one(A)=> ( relation_dom(relation_composition(A,function_inverse(A))) = relation_dom(A)& relation_rng(relation_composition(A,function_inverse(A))) = relation_dom(A) ) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f38,negated_conjecture,(
% 0.14/0.38 ~((! [A] :( ( relation(A)& function(A) )=> ( one_to_one(A)=> ( relation_dom(relation_composition(A,function_inverse(A))) = relation_dom(A)& relation_rng(relation_composition(A,function_inverse(A))) = relation_dom(A) ) ) ) ))),
% 0.14/0.38 inference(negated_conjecture,[status(cth)],[f37])).
% 0.14/0.38 fof(f40,axiom,(
% 0.14/0.38 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f53,plain,(
% 0.14/0.38 ![A]: ((~relation(A)|~function(A))|(relation(function_inverse(A))&function(function_inverse(A))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.14/0.38 fof(f54,plain,(
% 0.14/0.38 ![X0]: (~relation(X0)|~function(X0)|relation(function_inverse(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f53])).
% 0.14/0.38 fof(f63,plain,(
% 0.14/0.38 empty(empty_set)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.38 fof(f64,plain,(
% 0.14/0.38 relation(empty_set)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.38 fof(f80,plain,(
% 0.14/0.38 ![A]: (~empty(A)|(empty(relation_rng(A))&relation(relation_rng(A))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.14/0.38 fof(f81,plain,(
% 0.14/0.38 ![X0]: (~empty(X0)|empty(relation_rng(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f80])).
% 0.14/0.38 fof(f98,plain,(
% 0.14/0.38 ((relation(sk0_5)&empty(sk0_5))&function(sk0_5))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f23])).
% 0.14/0.38 fof(f99,plain,(
% 0.14/0.38 relation(sk0_5)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f98])).
% 0.14/0.38 fof(f100,plain,(
% 0.14/0.38 empty(sk0_5)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f98])).
% 0.14/0.38 fof(f101,plain,(
% 0.14/0.38 function(sk0_5)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f98])).
% 0.14/0.38 fof(f105,plain,(
% 0.14/0.38 ![A]: (element(sk0_7(A),powerset(A))&empty(sk0_7(A)))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f25])).
% 0.14/0.38 fof(f106,plain,(
% 0.14/0.38 ![X0]: (element(sk0_7(X0),powerset(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f105])).
% 0.14/0.38 fof(f107,plain,(
% 0.14/0.38 ![X0]: (empty(sk0_7(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f105])).
% 0.14/0.38 fof(f110,plain,(
% 0.14/0.38 ((relation(sk0_9)&function(sk0_9))&one_to_one(sk0_9))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f27])).
% 0.14/0.38 fof(f111,plain,(
% 0.14/0.38 relation(sk0_9)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f110])).
% 0.14/0.38 fof(f112,plain,(
% 0.14/0.38 function(sk0_9)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f110])).
% 0.14/0.38 fof(f117,plain,(
% 0.14/0.38 ![A]: subset(A,A)),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f29])).
% 0.14/0.38 fof(f118,plain,(
% 0.14/0.38 ![X0]: (subset(X0,X0))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f117])).
% 0.14/0.38 fof(f123,plain,(
% 0.14/0.38 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.14/0.38 inference(NNF_transformation,[status(esa)],[f32])).
% 0.14/0.38 fof(f124,plain,(
% 0.14/0.38 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f123])).
% 0.14/0.38 fof(f125,plain,(
% 0.14/0.38 ![X0,X1]: (~element(X0,powerset(X1))|subset(X0,X1))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f124])).
% 0.14/0.38 fof(f127,plain,(
% 0.14/0.38 ![A]: (~relation(A)|(![B]: (~relation(B)|(~subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A)))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 0.14/0.38 fof(f128,plain,(
% 0.14/0.38 ![X0,X1]: (~relation(X0)|~relation(X1)|~subset(relation_rng(X0),relation_dom(X1))|relation_dom(relation_composition(X0,X1))=relation_dom(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f127])).
% 0.14/0.38 fof(f129,plain,(
% 0.14/0.38 ![A]: (~relation(A)|(![B]: (~relation(B)|(~subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A)))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 0.14/0.38 fof(f130,plain,(
% 0.14/0.38 ![X0,X1]: (~relation(X0)|~relation(X1)|~subset(relation_dom(X0),relation_rng(X1))|relation_rng(relation_composition(X1,X0))=relation_rng(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f129])).
% 0.14/0.38 fof(f134,plain,(
% 0.14/0.38 ![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)))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.14/0.38 fof(f135,plain,(
% 0.14/0.38 ![X0]: (~relation(X0)|~function(X0)|~one_to_one(X0)|relation_rng(X0)=relation_dom(function_inverse(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f134])).
% 0.14/0.38 fof(f136,plain,(
% 0.14/0.38 ![X0]: (~relation(X0)|~function(X0)|~one_to_one(X0)|relation_dom(X0)=relation_rng(function_inverse(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f134])).
% 0.14/0.38 fof(f137,plain,(
% 0.14/0.38 (?[A]: ((relation(A)&function(A))&(one_to_one(A)&(~relation_dom(relation_composition(A,function_inverse(A)))=relation_dom(A)|~relation_rng(relation_composition(A,function_inverse(A)))=relation_dom(A)))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.14/0.38 fof(f138,plain,(
% 0.14/0.38 ((relation(sk0_11)&function(sk0_11))&(one_to_one(sk0_11)&(~relation_dom(relation_composition(sk0_11,function_inverse(sk0_11)))=relation_dom(sk0_11)|~relation_rng(relation_composition(sk0_11,function_inverse(sk0_11)))=relation_dom(sk0_11))))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f137])).
% 0.14/0.38 fof(f139,plain,(
% 0.14/0.38 relation(sk0_11)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f138])).
% 0.14/0.38 fof(f140,plain,(
% 0.14/0.38 function(sk0_11)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f138])).
% 0.14/0.38 fof(f141,plain,(
% 0.14/0.38 one_to_one(sk0_11)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f138])).
% 0.14/0.38 fof(f142,plain,(
% 0.14/0.38 ~relation_dom(relation_composition(sk0_11,function_inverse(sk0_11)))=relation_dom(sk0_11)|~relation_rng(relation_composition(sk0_11,function_inverse(sk0_11)))=relation_dom(sk0_11)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f138])).
% 0.14/0.38 fof(f146,plain,(
% 0.14/0.38 ![A]: (~empty(A)|A=empty_set)),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 0.14/0.38 fof(f147,plain,(
% 0.14/0.38 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f146])).
% 0.14/0.38 fof(f154,plain,(
% 0.14/0.38 spl0_0 <=> relation_dom(relation_composition(sk0_11,function_inverse(sk0_11)))=relation_dom(sk0_11)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f157,plain,(
% 0.14/0.38 spl0_1 <=> relation_rng(relation_composition(sk0_11,function_inverse(sk0_11)))=relation_dom(sk0_11)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f160,plain,(
% 0.14/0.38 ~spl0_0|~spl0_1),
% 0.14/0.38 inference(split_clause,[status(thm)],[f142,f154,f157])).
% 0.14/0.38 fof(f163,plain,(
% 0.14/0.38 spl0_2 <=> relation(sk0_11)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f165,plain,(
% 0.14/0.38 ~relation(sk0_11)|spl0_2),
% 0.14/0.38 inference(component_clause,[status(thm)],[f163])).
% 0.14/0.38 fof(f166,plain,(
% 0.14/0.38 spl0_3 <=> function(sk0_11)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f168,plain,(
% 0.14/0.38 ~function(sk0_11)|spl0_3),
% 0.14/0.38 inference(component_clause,[status(thm)],[f166])).
% 0.14/0.38 fof(f169,plain,(
% 0.14/0.38 spl0_4 <=> relation_rng(sk0_11)=relation_dom(function_inverse(sk0_11))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f170,plain,(
% 0.14/0.38 relation_rng(sk0_11)=relation_dom(function_inverse(sk0_11))|~spl0_4),
% 0.14/0.38 inference(component_clause,[status(thm)],[f169])).
% 0.14/0.38 fof(f172,plain,(
% 0.14/0.38 ~relation(sk0_11)|~function(sk0_11)|relation_rng(sk0_11)=relation_dom(function_inverse(sk0_11))),
% 0.14/0.38 inference(resolution,[status(thm)],[f135,f141])).
% 0.14/0.38 fof(f173,plain,(
% 0.14/0.38 ~spl0_2|~spl0_3|spl0_4),
% 0.14/0.38 inference(split_clause,[status(thm)],[f172,f163,f166,f169])).
% 0.14/0.38 fof(f176,plain,(
% 0.14/0.38 $false|spl0_3),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f168,f140])).
% 0.14/0.38 fof(f177,plain,(
% 0.14/0.38 spl0_3),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f176])).
% 0.14/0.38 fof(f178,plain,(
% 0.14/0.38 $false|spl0_2),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f165,f139])).
% 0.14/0.38 fof(f179,plain,(
% 0.14/0.38 spl0_2),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f178])).
% 0.14/0.38 fof(f183,plain,(
% 0.14/0.38 spl0_6 <=> relation(function_inverse(sk0_11))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f185,plain,(
% 0.14/0.38 ~relation(function_inverse(sk0_11))|spl0_6),
% 0.14/0.38 inference(component_clause,[status(thm)],[f183])).
% 0.14/0.38 fof(f198,plain,(
% 0.14/0.38 ~relation(sk0_11)|~function(sk0_11)|spl0_6),
% 0.14/0.38 inference(resolution,[status(thm)],[f185,f54])).
% 0.14/0.38 fof(f199,plain,(
% 0.14/0.38 ~spl0_2|~spl0_3|spl0_6),
% 0.14/0.38 inference(split_clause,[status(thm)],[f198,f163,f166,f183])).
% 0.14/0.38 fof(f237,plain,(
% 0.14/0.38 spl0_14 <=> relation_dom(sk0_11)=relation_rng(function_inverse(sk0_11))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f238,plain,(
% 0.14/0.38 relation_dom(sk0_11)=relation_rng(function_inverse(sk0_11))|~spl0_14),
% 0.14/0.38 inference(component_clause,[status(thm)],[f237])).
% 0.14/0.38 fof(f240,plain,(
% 0.14/0.38 ~relation(sk0_11)|~function(sk0_11)|relation_dom(sk0_11)=relation_rng(function_inverse(sk0_11))),
% 0.14/0.38 inference(resolution,[status(thm)],[f136,f141])).
% 0.14/0.38 fof(f241,plain,(
% 0.14/0.38 ~spl0_2|~spl0_3|spl0_14),
% 0.14/0.38 inference(split_clause,[status(thm)],[f240,f163,f166,f237])).
% 0.14/0.38 fof(f273,plain,(
% 0.14/0.38 spl0_19 <=> empty(relation_rng(sk0_5))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f275,plain,(
% 0.14/0.38 ~empty(relation_rng(sk0_5))|spl0_19),
% 0.14/0.38 inference(component_clause,[status(thm)],[f273])).
% 0.14/0.38 fof(f285,plain,(
% 0.14/0.38 spl0_21 <=> relation(sk0_5)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f287,plain,(
% 0.14/0.38 ~relation(sk0_5)|spl0_21),
% 0.14/0.38 inference(component_clause,[status(thm)],[f285])).
% 0.14/0.38 fof(f288,plain,(
% 0.14/0.38 spl0_22 <=> function(sk0_5)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f290,plain,(
% 0.14/0.38 ~function(sk0_5)|spl0_22),
% 0.14/0.38 inference(component_clause,[status(thm)],[f288])).
% 0.14/0.38 fof(f294,plain,(
% 0.14/0.38 $false|spl0_21),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f287,f99])).
% 0.14/0.38 fof(f295,plain,(
% 0.14/0.38 spl0_21),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f294])).
% 0.14/0.38 fof(f296,plain,(
% 0.14/0.38 $false|spl0_22),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f290,f101])).
% 0.14/0.38 fof(f297,plain,(
% 0.14/0.38 spl0_22),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f296])).
% 0.14/0.38 fof(f564,plain,(
% 0.14/0.38 spl0_68 <=> relation(sk0_9)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f566,plain,(
% 0.14/0.38 ~relation(sk0_9)|spl0_68),
% 0.14/0.38 inference(component_clause,[status(thm)],[f564])).
% 0.14/0.38 fof(f567,plain,(
% 0.14/0.38 spl0_69 <=> function(sk0_9)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f569,plain,(
% 0.14/0.38 ~function(sk0_9)|spl0_69),
% 0.14/0.38 inference(component_clause,[status(thm)],[f567])).
% 0.14/0.38 fof(f580,plain,(
% 0.14/0.38 $false|spl0_69),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f569,f112])).
% 0.14/0.38 fof(f581,plain,(
% 0.14/0.38 spl0_69),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f580])).
% 0.14/0.38 fof(f582,plain,(
% 0.14/0.38 $false|spl0_68),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f566,f111])).
% 0.14/0.38 fof(f583,plain,(
% 0.14/0.38 spl0_68),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f582])).
% 0.14/0.38 fof(f591,plain,(
% 0.14/0.38 ![X0]: (sk0_7(X0)=empty_set)),
% 0.14/0.38 inference(resolution,[status(thm)],[f147,f107])).
% 0.14/0.38 fof(f592,plain,(
% 0.14/0.38 sk0_5=empty_set),
% 0.14/0.38 inference(resolution,[status(thm)],[f147,f100])).
% 0.14/0.38 fof(f608,plain,(
% 0.14/0.38 function(empty_set)),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f592,f101])).
% 0.14/0.38 fof(f626,plain,(
% 0.14/0.38 ~empty(relation_rng(empty_set))|spl0_19),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f592,f275])).
% 0.14/0.38 fof(f627,plain,(
% 0.14/0.38 ~empty(empty_set)|spl0_19),
% 0.14/0.38 inference(resolution,[status(thm)],[f626,f81])).
% 0.14/0.38 fof(f628,plain,(
% 0.14/0.38 $false|spl0_19),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f627,f63])).
% 0.14/0.38 fof(f629,plain,(
% 0.14/0.38 spl0_19),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f628])).
% 0.14/0.38 fof(f643,plain,(
% 0.14/0.38 spl0_72 <=> relation(empty_set)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f645,plain,(
% 0.14/0.38 ~relation(empty_set)|spl0_72),
% 0.14/0.38 inference(component_clause,[status(thm)],[f643])).
% 0.14/0.38 fof(f646,plain,(
% 0.14/0.38 spl0_73 <=> function(empty_set)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f648,plain,(
% 0.14/0.38 ~function(empty_set)|spl0_73),
% 0.14/0.38 inference(component_clause,[status(thm)],[f646])).
% 0.14/0.38 fof(f652,plain,(
% 0.14/0.38 $false|spl0_72),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f645,f64])).
% 0.14/0.38 fof(f653,plain,(
% 0.14/0.38 spl0_72),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f652])).
% 0.14/0.38 fof(f654,plain,(
% 0.14/0.38 $false|spl0_73),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f648,f608])).
% 0.14/0.38 fof(f655,plain,(
% 0.14/0.38 spl0_73),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f654])).
% 0.14/0.38 fof(f964,plain,(
% 0.14/0.38 ![X0]: (element(empty_set,powerset(X0)))),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f591,f106])).
% 0.14/0.38 fof(f983,plain,(
% 0.14/0.38 ![X0]: (subset(empty_set,X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f125,f964])).
% 0.14/0.38 fof(f1065,plain,(
% 0.14/0.38 spl0_98 <=> ~relation(X0)|~subset(relation_rng(X0),relation_rng(sk0_11))|relation_dom(relation_composition(X0,function_inverse(sk0_11)))=relation_dom(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f1066,plain,(
% 0.14/0.38 ![X0]: (~relation(X0)|~subset(relation_rng(X0),relation_rng(sk0_11))|relation_dom(relation_composition(X0,function_inverse(sk0_11)))=relation_dom(X0)|~spl0_98)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f1065])).
% 0.14/0.38 fof(f1068,plain,(
% 0.14/0.38 ![X0]: (~relation(X0)|~relation(function_inverse(sk0_11))|~subset(relation_rng(X0),relation_rng(sk0_11))|relation_dom(relation_composition(X0,function_inverse(sk0_11)))=relation_dom(X0)|~spl0_4)),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f170,f128])).
% 0.14/0.38 fof(f1069,plain,(
% 0.14/0.38 spl0_98|~spl0_6|~spl0_4),
% 0.14/0.38 inference(split_clause,[status(thm)],[f1068,f1065,f183,f169])).
% 0.14/0.38 fof(f1084,plain,(
% 0.14/0.38 spl0_101 <=> ~relation(X0)|~subset(relation_rng(sk0_11),relation_rng(X0))|relation_rng(relation_composition(X0,function_inverse(sk0_11)))=relation_rng(function_inverse(sk0_11))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f1085,plain,(
% 0.14/0.38 ![X0]: (~relation(X0)|~subset(relation_rng(sk0_11),relation_rng(X0))|relation_rng(relation_composition(X0,function_inverse(sk0_11)))=relation_rng(function_inverse(sk0_11))|~spl0_101)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f1084])).
% 0.14/0.38 fof(f1087,plain,(
% 0.14/0.38 ![X0]: (~relation(function_inverse(sk0_11))|~relation(X0)|~subset(relation_rng(sk0_11),relation_rng(X0))|relation_rng(relation_composition(X0,function_inverse(sk0_11)))=relation_rng(function_inverse(sk0_11))|~spl0_4)),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f170,f130])).
% 0.14/0.38 fof(f1088,plain,(
% 0.14/0.38 ~spl0_6|spl0_101|~spl0_4),
% 0.14/0.38 inference(split_clause,[status(thm)],[f1087,f183,f1084,f169])).
% 0.14/0.38 fof(f1104,plain,(
% 0.14/0.38 ![X0]: (~relation(X0)|~subset(relation_rng(sk0_11),relation_rng(X0))|relation_rng(relation_composition(X0,function_inverse(sk0_11)))=relation_dom(sk0_11)|~spl0_14|~spl0_101)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f238,f1085])).
% 0.14/0.38 fof(f1135,plain,(
% 0.14/0.38 ~relation(sk0_11)|relation_dom(relation_composition(sk0_11,function_inverse(sk0_11)))=relation_dom(sk0_11)|~spl0_98),
% 0.14/0.38 inference(resolution,[status(thm)],[f1066,f118])).
% 0.14/0.39 fof(f1136,plain,(
% 0.14/0.39 ~spl0_2|spl0_0|~spl0_98),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1135,f163,f154,f1065])).
% 0.14/0.39 fof(f1137,plain,(
% 0.14/0.39 spl0_106 <=> subset(empty_set,relation_rng(sk0_11))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1139,plain,(
% 0.14/0.39 ~subset(empty_set,relation_rng(sk0_11))|spl0_106),
% 0.14/0.39 inference(component_clause,[status(thm)],[f1137])).
% 0.14/0.39 fof(f1161,plain,(
% 0.14/0.39 $false|spl0_106),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1139,f983])).
% 0.14/0.39 fof(f1162,plain,(
% 0.14/0.39 spl0_106),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f1161])).
% 0.14/0.39 fof(f1403,plain,(
% 0.14/0.39 spl0_121 <=> subset(relation_dom(sk0_11),relation_dom(sk0_11))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1405,plain,(
% 0.14/0.39 ~subset(relation_dom(sk0_11),relation_dom(sk0_11))|spl0_121),
% 0.14/0.39 inference(component_clause,[status(thm)],[f1403])).
% 0.14/0.39 fof(f1411,plain,(
% 0.14/0.39 $false|spl0_121),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1405,f118])).
% 0.14/0.39 fof(f1412,plain,(
% 0.14/0.39 spl0_121),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f1411])).
% 0.14/0.39 fof(f1413,plain,(
% 0.14/0.39 spl0_123 <=> subset(empty_set,relation_dom(sk0_11))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1415,plain,(
% 0.14/0.39 ~subset(empty_set,relation_dom(sk0_11))|spl0_123),
% 0.14/0.39 inference(component_clause,[status(thm)],[f1413])).
% 0.14/0.39 fof(f1434,plain,(
% 0.14/0.39 $false|spl0_123),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1415,f983])).
% 0.14/0.39 fof(f1435,plain,(
% 0.14/0.39 spl0_123),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f1434])).
% 0.14/0.39 fof(f1652,plain,(
% 0.14/0.39 ~relation(sk0_11)|relation_rng(relation_composition(sk0_11,function_inverse(sk0_11)))=relation_dom(sk0_11)|~spl0_14|~spl0_101),
% 0.14/0.39 inference(resolution,[status(thm)],[f1104,f118])).
% 0.14/0.39 fof(f1653,plain,(
% 0.14/0.39 ~spl0_2|spl0_1|~spl0_14|~spl0_101),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1652,f163,f157,f237,f1084])).
% 0.14/0.39 fof(f1678,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f160,f173,f177,f179,f199,f241,f295,f297,f581,f583,f629,f653,f655,f1069,f1088,f1136,f1162,f1412,f1435,f1653])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 % Elapsed time: 0.040401 seconds
% 0.14/0.39 % CPU time: 0.165477 seconds
% 0.14/0.39 % Memory used: 21.300 MB
%------------------------------------------------------------------------------