TSTP Solution File: SEU253+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU253+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:41:43 EDT 2024
% Result : Theorem 4.52s 0.95s
% Output : CNFRefutation 4.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU253+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n028.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 20:08:44 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 4.52/0.95 % Refutation found
% 4.52/0.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.52/0.95 % SZS output start CNFRefutation for theBenchmark
% 4.52/0.95 fof(f15,axiom,(
% 4.52/0.95 (! [A,B] :( relation(A)=> relation(relation_restriction(A,B)) ) )),
% 4.52/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.52/0.95 fof(f22,axiom,(
% 4.52/0.95 (! [A] :(? [B] : element(B,A) ))),
% 4.52/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.52/0.95 fof(f23,axiom,(
% 4.52/0.95 empty(empty_set) ),
% 4.52/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.52/0.95 fof(f29,axiom,(
% 4.52/0.95 (! [A] :( relation(A)=> ( connected(A)<=> (! [B,C] :~ ( in(B,relation_field(A))& in(C,relation_field(A))& B != C& ~ in(ordered_pair(B,C),A)& ~ in(ordered_pair(C,B),A) ) )) ) )),
% 4.52/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.52/0.95 fof(f32,axiom,(
% 4.52/0.95 (? [A] :( relation(A)& empty(A)& function(A) ) )),
% 4.52/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.52/0.95 fof(f35,axiom,(
% 4.52/0.95 (! [A,B,C,D] :( in(ordered_pair(A,B),cartesian_product2(C,D))<=> ( in(A,C)& in(B,D) ) ) )),
% 4.52/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.52/0.95 fof(f36,axiom,(
% 4.52/0.95 (! [A,B,C] :( relation(C)=> ( in(A,relation_restriction(C,B))<=> ( in(A,C)& in(A,cartesian_product2(B,B)) ) ) ) )),
% 4.52/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.52/0.95 fof(f37,axiom,(
% 4.52/0.95 (! [A,B,C] :( relation(C)=> ( in(A,relation_field(relation_restriction(C,B)))=> ( in(A,relation_field(C))& in(A,B) ) ) ) )),
% 4.52/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.52/0.95 fof(f40,conjecture,(
% 4.52/0.95 (! [A,B] :( relation(B)=> ( connected(B)=> connected(relation_restriction(B,A)) ) ) )),
% 4.52/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.52/0.95 fof(f41,negated_conjecture,(
% 4.52/0.95 ~((! [A,B] :( relation(B)=> ( connected(B)=> connected(relation_restriction(B,A)) ) ) ))),
% 4.52/0.95 inference(negated_conjecture,[status(cth)],[f40])).
% 4.52/0.95 fof(f44,axiom,(
% 4.52/0.95 (! [A] :( empty(A)=> A = empty_set ) )),
% 4.52/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.52/0.95 fof(f45,axiom,(
% 4.52/0.95 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 4.52/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.52/0.95 fof(f63,plain,(
% 4.52/0.95 ![A,B]: (~relation(A)|relation(relation_restriction(A,B)))),
% 4.52/0.95 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 4.52/0.95 fof(f64,plain,(
% 4.52/0.95 ![A]: (~relation(A)|(![B]: relation(relation_restriction(A,B))))),
% 4.52/0.95 inference(miniscoping,[status(esa)],[f63])).
% 4.52/0.95 fof(f65,plain,(
% 4.52/0.95 ![X0,X1]: (~relation(X0)|relation(relation_restriction(X0,X1)))),
% 4.52/0.95 inference(cnf_transformation,[status(esa)],[f64])).
% 4.52/0.95 fof(f66,plain,(
% 4.52/0.95 ![A]: element(sk0_0(A),A)),
% 4.52/0.95 inference(skolemization,[status(esa)],[f22])).
% 4.52/0.95 fof(f67,plain,(
% 4.52/0.95 ![X0]: (element(sk0_0(X0),X0))),
% 4.52/0.95 inference(cnf_transformation,[status(esa)],[f66])).
% 4.52/0.95 fof(f68,plain,(
% 4.52/0.95 empty(empty_set)),
% 4.52/0.95 inference(cnf_transformation,[status(esa)],[f23])).
% 4.52/0.95 fof(f80,plain,(
% 4.52/0.95 ![A]: (~relation(A)|(connected(A)<=>(![B,C]: ((((~in(B,relation_field(A))|~in(C,relation_field(A)))|B=C)|in(ordered_pair(B,C),A))|in(ordered_pair(C,B),A)))))),
% 4.52/0.95 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 4.52/0.95 fof(f81,plain,(
% 4.52/0.95 ![A]: (~relation(A)|((~connected(A)|(![B,C]: ((((~in(B,relation_field(A))|~in(C,relation_field(A)))|B=C)|in(ordered_pair(B,C),A))|in(ordered_pair(C,B),A))))&(connected(A)|(?[B,C]: ((((in(B,relation_field(A))&in(C,relation_field(A)))&~B=C)&~in(ordered_pair(B,C),A))&~in(ordered_pair(C,B),A))))))),
% 4.52/0.95 inference(NNF_transformation,[status(esa)],[f80])).
% 4.52/0.95 fof(f82,plain,(
% 4.52/0.95 ![A]: (~relation(A)|((~connected(A)|(![B,C]: ((((~in(B,relation_field(A))|~in(C,relation_field(A)))|B=C)|in(ordered_pair(B,C),A))|in(ordered_pair(C,B),A))))&(connected(A)|((((in(sk0_1(A),relation_field(A))&in(sk0_2(A),relation_field(A)))&~sk0_1(A)=sk0_2(A))&~in(ordered_pair(sk0_1(A),sk0_2(A)),A))&~in(ordered_pair(sk0_2(A),sk0_1(A)),A)))))),
% 4.52/0.95 inference(skolemization,[status(esa)],[f81])).
% 4.52/0.95 fof(f83,plain,(
% 4.52/0.95 ![X0,X1,X2]: (~relation(X0)|~connected(X0)|~in(X1,relation_field(X0))|~in(X2,relation_field(X0))|X1=X2|in(ordered_pair(X1,X2),X0)|in(ordered_pair(X2,X1),X0))),
% 4.52/0.95 inference(cnf_transformation,[status(esa)],[f82])).
% 4.52/0.95 fof(f84,plain,(
% 4.52/0.95 ![X0]: (~relation(X0)|connected(X0)|in(sk0_1(X0),relation_field(X0)))),
% 4.52/0.95 inference(cnf_transformation,[status(esa)],[f82])).
% 4.52/0.96 fof(f85,plain,(
% 4.52/0.96 ![X0]: (~relation(X0)|connected(X0)|in(sk0_2(X0),relation_field(X0)))),
% 4.52/0.96 inference(cnf_transformation,[status(esa)],[f82])).
% 4.52/0.96 fof(f86,plain,(
% 4.52/0.96 ![X0]: (~relation(X0)|connected(X0)|~sk0_1(X0)=sk0_2(X0))),
% 4.52/0.96 inference(cnf_transformation,[status(esa)],[f82])).
% 4.52/0.96 fof(f87,plain,(
% 4.52/0.96 ![X0]: (~relation(X0)|connected(X0)|~in(ordered_pair(sk0_1(X0),sk0_2(X0)),X0))),
% 4.52/0.96 inference(cnf_transformation,[status(esa)],[f82])).
% 4.52/0.96 fof(f88,plain,(
% 4.52/0.96 ![X0]: (~relation(X0)|connected(X0)|~in(ordered_pair(sk0_2(X0),sk0_1(X0)),X0))),
% 4.52/0.96 inference(cnf_transformation,[status(esa)],[f82])).
% 4.52/0.96 fof(f94,plain,(
% 4.52/0.96 ((relation(sk0_5)&empty(sk0_5))&function(sk0_5))),
% 4.52/0.96 inference(skolemization,[status(esa)],[f32])).
% 4.52/0.96 fof(f95,plain,(
% 4.52/0.96 relation(sk0_5)),
% 4.52/0.96 inference(cnf_transformation,[status(esa)],[f94])).
% 4.52/0.96 fof(f96,plain,(
% 4.52/0.96 empty(sk0_5)),
% 4.52/0.96 inference(cnf_transformation,[status(esa)],[f94])).
% 4.52/0.96 fof(f104,plain,(
% 4.52/0.96 ![A,B,C,D]: ((~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D)))&(in(ordered_pair(A,B),cartesian_product2(C,D))|(~in(A,C)|~in(B,D))))),
% 4.52/0.96 inference(NNF_transformation,[status(esa)],[f35])).
% 4.52/0.96 fof(f105,plain,(
% 4.52/0.96 (![A,B,C,D]: (~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D))))&(![A,B,C,D]: (in(ordered_pair(A,B),cartesian_product2(C,D))|(~in(A,C)|~in(B,D))))),
% 4.52/0.96 inference(miniscoping,[status(esa)],[f104])).
% 4.52/0.96 fof(f108,plain,(
% 4.52/0.96 ![X0,X1,X2,X3]: (in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|~in(X0,X2)|~in(X1,X3))),
% 4.52/0.96 inference(cnf_transformation,[status(esa)],[f105])).
% 4.52/0.96 fof(f109,plain,(
% 4.52/0.96 ![A,B,C]: (~relation(C)|(in(A,relation_restriction(C,B))<=>(in(A,C)&in(A,cartesian_product2(B,B)))))),
% 4.52/0.96 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 4.52/0.96 fof(f110,plain,(
% 4.52/0.96 ![A,B,C]: (~relation(C)|((~in(A,relation_restriction(C,B))|(in(A,C)&in(A,cartesian_product2(B,B))))&(in(A,relation_restriction(C,B))|(~in(A,C)|~in(A,cartesian_product2(B,B))))))),
% 4.52/0.96 inference(NNF_transformation,[status(esa)],[f109])).
% 4.52/0.96 fof(f111,plain,(
% 4.52/0.96 ![C]: (~relation(C)|((![A,B]: (~in(A,relation_restriction(C,B))|(in(A,C)&in(A,cartesian_product2(B,B)))))&(![A,B]: (in(A,relation_restriction(C,B))|(~in(A,C)|~in(A,cartesian_product2(B,B)))))))),
% 4.52/0.96 inference(miniscoping,[status(esa)],[f110])).
% 4.52/0.96 fof(f114,plain,(
% 4.52/0.96 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_restriction(X0,X2))|~in(X1,X0)|~in(X1,cartesian_product2(X2,X2)))),
% 4.52/0.96 inference(cnf_transformation,[status(esa)],[f111])).
% 4.52/0.96 fof(f115,plain,(
% 4.52/0.96 ![A,B,C]: (~relation(C)|(~in(A,relation_field(relation_restriction(C,B)))|(in(A,relation_field(C))&in(A,B))))),
% 4.52/0.96 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 4.52/0.96 fof(f116,plain,(
% 4.52/0.96 ![C]: (~relation(C)|(![A,B]: (~in(A,relation_field(relation_restriction(C,B)))|(in(A,relation_field(C))&in(A,B)))))),
% 4.52/0.96 inference(miniscoping,[status(esa)],[f115])).
% 4.52/0.96 fof(f117,plain,(
% 4.52/0.96 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_field(relation_restriction(X0,X2)))|in(X1,relation_field(X0)))),
% 4.52/0.96 inference(cnf_transformation,[status(esa)],[f116])).
% 4.52/0.96 fof(f118,plain,(
% 4.52/0.96 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_field(relation_restriction(X0,X2)))|in(X1,X2))),
% 4.52/0.96 inference(cnf_transformation,[status(esa)],[f116])).
% 4.52/0.96 fof(f122,plain,(
% 4.52/0.96 (?[A,B]: (relation(B)&(connected(B)&~connected(relation_restriction(B,A)))))),
% 4.52/0.96 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 4.52/0.96 fof(f123,plain,(
% 4.52/0.96 ?[B]: (relation(B)&(connected(B)&(?[A]: ~connected(relation_restriction(B,A)))))),
% 4.52/0.96 inference(miniscoping,[status(esa)],[f122])).
% 4.52/0.96 fof(f124,plain,(
% 4.52/0.96 (relation(sk0_8)&(connected(sk0_8)&~connected(relation_restriction(sk0_8,sk0_9))))),
% 4.52/0.96 inference(skolemization,[status(esa)],[f123])).
% 4.52/0.96 fof(f125,plain,(
% 4.52/0.96 relation(sk0_8)),
% 4.52/0.96 inference(cnf_transformation,[status(esa)],[f124])).
% 4.52/0.96 fof(f126,plain,(
% 4.52/0.96 connected(sk0_8)),
% 4.52/0.96 inference(cnf_transformation,[status(esa)],[f124])).
% 4.52/0.96 fof(f127,plain,(
% 4.52/0.96 ~connected(relation_restriction(sk0_8,sk0_9))),
% 4.52/0.96 inference(cnf_transformation,[status(esa)],[f124])).
% 4.52/0.96 fof(f131,plain,(
% 4.52/0.96 ![A]: (~empty(A)|A=empty_set)),
% 4.52/0.96 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 4.52/0.96 fof(f132,plain,(
% 4.52/0.96 ![X0]: (~empty(X0)|X0=empty_set)),
% 4.52/0.96 inference(cnf_transformation,[status(esa)],[f131])).
% 4.52/0.96 fof(f133,plain,(
% 4.52/0.96 ![A,B]: (~in(A,B)|~empty(B))),
% 4.52/0.96 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 4.52/0.96 fof(f134,plain,(
% 4.52/0.96 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 4.52/0.96 inference(miniscoping,[status(esa)],[f133])).
% 4.52/0.96 fof(f135,plain,(
% 4.52/0.96 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 4.52/0.96 inference(cnf_transformation,[status(esa)],[f134])).
% 4.52/0.96 fof(f248,plain,(
% 4.52/0.96 sk0_5=empty_set),
% 4.52/0.96 inference(resolution,[status(thm)],[f132,f96])).
% 4.52/0.96 fof(f300,plain,(
% 4.52/0.96 relation(empty_set)),
% 4.52/0.96 inference(backward_demodulation,[status(thm)],[f248,f95])).
% 4.52/0.96 fof(f611,plain,(
% 4.52/0.96 spl0_11 <=> relation(relation_restriction(sk0_8,sk0_9))),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f613,plain,(
% 4.52/0.96 ~relation(relation_restriction(sk0_8,sk0_9))|spl0_11),
% 4.52/0.96 inference(component_clause,[status(thm)],[f611])).
% 4.52/0.96 fof(f614,plain,(
% 4.52/0.96 spl0_12 <=> in(sk0_1(relation_restriction(sk0_8,sk0_9)),relation_field(relation_restriction(sk0_8,sk0_9)))),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f615,plain,(
% 4.52/0.96 in(sk0_1(relation_restriction(sk0_8,sk0_9)),relation_field(relation_restriction(sk0_8,sk0_9)))|~spl0_12),
% 4.52/0.96 inference(component_clause,[status(thm)],[f614])).
% 4.52/0.96 fof(f617,plain,(
% 4.52/0.96 ~relation(relation_restriction(sk0_8,sk0_9))|in(sk0_1(relation_restriction(sk0_8,sk0_9)),relation_field(relation_restriction(sk0_8,sk0_9)))),
% 4.52/0.96 inference(resolution,[status(thm)],[f84,f127])).
% 4.52/0.96 fof(f618,plain,(
% 4.52/0.96 ~spl0_11|spl0_12),
% 4.52/0.96 inference(split_clause,[status(thm)],[f617,f611,f614])).
% 4.52/0.96 fof(f619,plain,(
% 4.52/0.96 spl0_13 <=> in(sk0_2(relation_restriction(sk0_8,sk0_9)),relation_field(relation_restriction(sk0_8,sk0_9)))),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f620,plain,(
% 4.52/0.96 in(sk0_2(relation_restriction(sk0_8,sk0_9)),relation_field(relation_restriction(sk0_8,sk0_9)))|~spl0_13),
% 4.52/0.96 inference(component_clause,[status(thm)],[f619])).
% 4.52/0.96 fof(f622,plain,(
% 4.52/0.96 ~relation(relation_restriction(sk0_8,sk0_9))|in(sk0_2(relation_restriction(sk0_8,sk0_9)),relation_field(relation_restriction(sk0_8,sk0_9)))),
% 4.52/0.96 inference(resolution,[status(thm)],[f85,f127])).
% 4.52/0.96 fof(f623,plain,(
% 4.52/0.96 ~spl0_11|spl0_13),
% 4.52/0.96 inference(split_clause,[status(thm)],[f622,f611,f619])).
% 4.52/0.96 fof(f662,plain,(
% 4.52/0.96 ~relation(sk0_8)|spl0_11),
% 4.52/0.96 inference(resolution,[status(thm)],[f613,f65])).
% 4.52/0.96 fof(f663,plain,(
% 4.52/0.96 $false|spl0_11),
% 4.52/0.96 inference(forward_subsumption_resolution,[status(thm)],[f662,f125])).
% 4.52/0.96 fof(f664,plain,(
% 4.52/0.96 spl0_11),
% 4.52/0.96 inference(contradiction_clause,[status(thm)],[f663])).
% 4.52/0.96 fof(f734,plain,(
% 4.52/0.96 spl0_17 <=> relation(sk0_8)),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f736,plain,(
% 4.52/0.96 ~relation(sk0_8)|spl0_17),
% 4.52/0.96 inference(component_clause,[status(thm)],[f734])).
% 4.52/0.96 fof(f737,plain,(
% 4.52/0.96 spl0_18 <=> in(sk0_1(relation_restriction(sk0_8,sk0_9)),relation_field(sk0_8))),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f740,plain,(
% 4.52/0.96 ~relation(sk0_8)|in(sk0_1(relation_restriction(sk0_8,sk0_9)),relation_field(sk0_8))|~spl0_12),
% 4.52/0.96 inference(resolution,[status(thm)],[f615,f117])).
% 4.52/0.96 fof(f741,plain,(
% 4.52/0.96 ~spl0_17|spl0_18|~spl0_12),
% 4.52/0.96 inference(split_clause,[status(thm)],[f740,f734,f737,f614])).
% 4.52/0.96 fof(f742,plain,(
% 4.52/0.96 spl0_19 <=> in(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_9)),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f745,plain,(
% 4.52/0.96 ~relation(sk0_8)|in(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_9)|~spl0_12),
% 4.52/0.96 inference(resolution,[status(thm)],[f615,f118])).
% 4.52/0.96 fof(f746,plain,(
% 4.52/0.96 ~spl0_17|spl0_19|~spl0_12),
% 4.52/0.96 inference(split_clause,[status(thm)],[f745,f734,f742,f614])).
% 4.52/0.96 fof(f758,plain,(
% 4.52/0.96 $false|spl0_17),
% 4.52/0.96 inference(forward_subsumption_resolution,[status(thm)],[f736,f125])).
% 4.52/0.96 fof(f759,plain,(
% 4.52/0.96 spl0_17),
% 4.52/0.96 inference(contradiction_clause,[status(thm)],[f758])).
% 4.52/0.96 fof(f760,plain,(
% 4.52/0.96 spl0_22 <=> in(sk0_2(relation_restriction(sk0_8,sk0_9)),relation_field(sk0_8))),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f763,plain,(
% 4.52/0.96 ~relation(sk0_8)|in(sk0_2(relation_restriction(sk0_8,sk0_9)),relation_field(sk0_8))|~spl0_13),
% 4.52/0.96 inference(resolution,[status(thm)],[f620,f117])).
% 4.52/0.96 fof(f764,plain,(
% 4.52/0.96 ~spl0_17|spl0_22|~spl0_13),
% 4.52/0.96 inference(split_clause,[status(thm)],[f763,f734,f760,f619])).
% 4.52/0.96 fof(f765,plain,(
% 4.52/0.96 spl0_23 <=> in(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_9)),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f768,plain,(
% 4.52/0.96 ~relation(sk0_8)|in(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_9)|~spl0_13),
% 4.52/0.96 inference(resolution,[status(thm)],[f620,f118])).
% 4.52/0.96 fof(f769,plain,(
% 4.52/0.96 ~spl0_17|spl0_23|~spl0_13),
% 4.52/0.96 inference(split_clause,[status(thm)],[f768,f734,f765,f619])).
% 4.52/0.96 fof(f858,plain,(
% 4.52/0.96 spl0_26 <=> connected(sk0_8)),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f860,plain,(
% 4.52/0.96 ~connected(sk0_8)|spl0_26),
% 4.52/0.96 inference(component_clause,[status(thm)],[f858])).
% 4.52/0.96 fof(f868,plain,(
% 4.52/0.96 $false|spl0_26),
% 4.52/0.96 inference(forward_subsumption_resolution,[status(thm)],[f860,f126])).
% 4.52/0.96 fof(f869,plain,(
% 4.52/0.96 spl0_26),
% 4.52/0.96 inference(contradiction_clause,[status(thm)],[f868])).
% 4.52/0.96 fof(f1126,plain,(
% 4.52/0.96 spl0_30 <=> relation(empty_set)),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f1128,plain,(
% 4.52/0.96 ~relation(empty_set)|spl0_30),
% 4.52/0.96 inference(component_clause,[status(thm)],[f1126])).
% 4.52/0.96 fof(f1151,plain,(
% 4.52/0.96 $false|spl0_30),
% 4.52/0.96 inference(forward_subsumption_resolution,[status(thm)],[f1128,f300])).
% 4.52/0.96 fof(f1152,plain,(
% 4.52/0.96 spl0_30),
% 4.52/0.96 inference(contradiction_clause,[status(thm)],[f1151])).
% 4.52/0.96 fof(f1186,plain,(
% 4.52/0.96 spl0_35 <=> in(sk0_0(relation_field(empty_set)),X0)),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f1187,plain,(
% 4.52/0.96 ![X0]: (in(sk0_0(relation_field(empty_set)),X0)|~spl0_35)),
% 4.52/0.96 inference(component_clause,[status(thm)],[f1186])).
% 4.52/0.96 fof(f1198,plain,(
% 4.52/0.96 spl0_37 <=> ~relation(X0)),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f1199,plain,(
% 4.52/0.96 ![X0]: (~relation(X0)|~spl0_37)),
% 4.52/0.96 inference(component_clause,[status(thm)],[f1198])).
% 4.52/0.96 fof(f1210,plain,(
% 4.52/0.96 ![X0]: (~empty(X0)|~spl0_35)),
% 4.52/0.96 inference(resolution,[status(thm)],[f1187,f135])).
% 4.52/0.96 fof(f1221,plain,(
% 4.52/0.96 $false|~spl0_37),
% 4.52/0.96 inference(backward_subsumption_resolution,[status(thm)],[f300,f1199])).
% 4.52/0.96 fof(f1222,plain,(
% 4.52/0.96 ~spl0_37),
% 4.52/0.96 inference(contradiction_clause,[status(thm)],[f1221])).
% 4.52/0.96 fof(f1234,plain,(
% 4.52/0.96 $false|~spl0_35),
% 4.52/0.96 inference(backward_subsumption_resolution,[status(thm)],[f68,f1210])).
% 4.52/0.96 fof(f1235,plain,(
% 4.52/0.96 ~spl0_35),
% 4.52/0.96 inference(contradiction_clause,[status(thm)],[f1234])).
% 4.52/0.96 fof(f1312,plain,(
% 4.52/0.96 spl0_42 <=> sk0_1(relation_restriction(sk0_8,sk0_9))=sk0_2(relation_restriction(sk0_8,sk0_9))),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f1315,plain,(
% 4.52/0.96 ~relation(relation_restriction(sk0_8,sk0_9))|~sk0_1(relation_restriction(sk0_8,sk0_9))=sk0_2(relation_restriction(sk0_8,sk0_9))),
% 4.52/0.96 inference(resolution,[status(thm)],[f86,f127])).
% 4.52/0.96 fof(f1316,plain,(
% 4.52/0.96 ~spl0_11|~spl0_42),
% 4.52/0.96 inference(split_clause,[status(thm)],[f1315,f611,f1312])).
% 4.52/0.96 fof(f1964,plain,(
% 4.52/0.96 spl0_56 <=> ~element(X1,sk0_9)),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f1965,plain,(
% 4.52/0.96 ![X0]: (~element(X0,sk0_9)|~spl0_56)),
% 4.52/0.96 inference(component_clause,[status(thm)],[f1964])).
% 4.52/0.96 fof(f1990,plain,(
% 4.52/0.96 $false|~spl0_56),
% 4.52/0.96 inference(resolution,[status(thm)],[f1965,f67])).
% 4.52/0.96 fof(f1991,plain,(
% 4.52/0.96 ~spl0_56),
% 4.52/0.96 inference(contradiction_clause,[status(thm)],[f1990])).
% 4.52/0.96 fof(f2030,plain,(
% 4.52/0.96 spl0_60 <=> in(ordered_pair(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_2(relation_restriction(sk0_8,sk0_9))),relation_restriction(sk0_8,sk0_9))),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f2032,plain,(
% 4.52/0.96 ~in(ordered_pair(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_2(relation_restriction(sk0_8,sk0_9))),relation_restriction(sk0_8,sk0_9))|spl0_60),
% 4.52/0.96 inference(component_clause,[status(thm)],[f2030])).
% 4.52/0.96 fof(f2033,plain,(
% 4.52/0.96 ~relation(relation_restriction(sk0_8,sk0_9))|~in(ordered_pair(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_2(relation_restriction(sk0_8,sk0_9))),relation_restriction(sk0_8,sk0_9))),
% 4.52/0.96 inference(resolution,[status(thm)],[f87,f127])).
% 4.52/0.96 fof(f2034,plain,(
% 4.52/0.96 ~spl0_11|~spl0_60),
% 4.52/0.96 inference(split_clause,[status(thm)],[f2033,f611,f2030])).
% 4.52/0.96 fof(f2040,plain,(
% 4.52/0.96 spl0_62 <=> in(ordered_pair(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_1(relation_restriction(sk0_8,sk0_9))),relation_restriction(sk0_8,sk0_9))),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f2042,plain,(
% 4.52/0.96 ~in(ordered_pair(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_1(relation_restriction(sk0_8,sk0_9))),relation_restriction(sk0_8,sk0_9))|spl0_62),
% 4.52/0.96 inference(component_clause,[status(thm)],[f2040])).
% 4.52/0.96 fof(f2043,plain,(
% 4.52/0.96 ~relation(relation_restriction(sk0_8,sk0_9))|~in(ordered_pair(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_1(relation_restriction(sk0_8,sk0_9))),relation_restriction(sk0_8,sk0_9))),
% 4.52/0.96 inference(resolution,[status(thm)],[f88,f127])).
% 4.52/0.96 fof(f2044,plain,(
% 4.52/0.96 ~spl0_11|~spl0_62),
% 4.52/0.96 inference(split_clause,[status(thm)],[f2043,f611,f2040])).
% 4.52/0.96 fof(f2180,plain,(
% 4.52/0.96 spl0_66 <=> in(ordered_pair(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_2(relation_restriction(sk0_8,sk0_9))),sk0_8)),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f2182,plain,(
% 4.52/0.96 ~in(ordered_pair(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_2(relation_restriction(sk0_8,sk0_9))),sk0_8)|spl0_66),
% 4.52/0.96 inference(component_clause,[status(thm)],[f2180])).
% 4.52/0.96 fof(f2183,plain,(
% 4.52/0.96 spl0_67 <=> in(ordered_pair(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_2(relation_restriction(sk0_8,sk0_9))),cartesian_product2(sk0_9,sk0_9))),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f2185,plain,(
% 4.52/0.96 ~in(ordered_pair(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_2(relation_restriction(sk0_8,sk0_9))),cartesian_product2(sk0_9,sk0_9))|spl0_67),
% 4.52/0.96 inference(component_clause,[status(thm)],[f2183])).
% 4.52/0.96 fof(f2186,plain,(
% 4.52/0.96 ~relation(sk0_8)|~in(ordered_pair(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_2(relation_restriction(sk0_8,sk0_9))),sk0_8)|~in(ordered_pair(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_2(relation_restriction(sk0_8,sk0_9))),cartesian_product2(sk0_9,sk0_9))|spl0_60),
% 4.52/0.96 inference(resolution,[status(thm)],[f2032,f114])).
% 4.52/0.96 fof(f2187,plain,(
% 4.52/0.96 ~spl0_17|~spl0_66|~spl0_67|spl0_60),
% 4.52/0.96 inference(split_clause,[status(thm)],[f2186,f734,f2180,f2183,f2030])).
% 4.52/0.96 fof(f2192,plain,(
% 4.52/0.96 spl0_68 <=> in(ordered_pair(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_1(relation_restriction(sk0_8,sk0_9))),sk0_8)),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f2195,plain,(
% 4.52/0.96 spl0_69 <=> in(ordered_pair(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_1(relation_restriction(sk0_8,sk0_9))),cartesian_product2(sk0_9,sk0_9))),
% 4.52/0.96 introduced(split_symbol_definition)).
% 4.52/0.96 fof(f2197,plain,(
% 4.52/0.96 ~in(ordered_pair(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_1(relation_restriction(sk0_8,sk0_9))),cartesian_product2(sk0_9,sk0_9))|spl0_69),
% 4.52/0.96 inference(component_clause,[status(thm)],[f2195])).
% 4.52/0.96 fof(f2198,plain,(
% 4.52/0.96 ~relation(sk0_8)|~in(ordered_pair(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_1(relation_restriction(sk0_8,sk0_9))),sk0_8)|~in(ordered_pair(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_1(relation_restriction(sk0_8,sk0_9))),cartesian_product2(sk0_9,sk0_9))|spl0_62),
% 4.52/0.96 inference(resolution,[status(thm)],[f2042,f114])).
% 4.52/0.96 fof(f2199,plain,(
% 4.52/0.96 ~spl0_17|~spl0_68|~spl0_69|spl0_62),
% 4.52/0.96 inference(split_clause,[status(thm)],[f2198,f734,f2192,f2195,f2040])).
% 4.52/0.96 fof(f3254,plain,(
% 4.52/0.96 ~relation(sk0_8)|~connected(sk0_8)|~in(sk0_2(relation_restriction(sk0_8,sk0_9)),relation_field(sk0_8))|~in(sk0_1(relation_restriction(sk0_8,sk0_9)),relation_field(sk0_8))|sk0_2(relation_restriction(sk0_8,sk0_9))=sk0_1(relation_restriction(sk0_8,sk0_9))|in(ordered_pair(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_1(relation_restriction(sk0_8,sk0_9))),sk0_8)|spl0_66),
% 4.52/0.96 inference(resolution,[status(thm)],[f2182,f83])).
% 4.52/0.96 fof(f3255,plain,(
% 4.52/0.96 ~spl0_17|~spl0_26|~spl0_22|~spl0_18|spl0_42|spl0_68|spl0_66),
% 4.52/0.96 inference(split_clause,[status(thm)],[f3254,f734,f858,f760,f737,f1312,f2192,f2180])).
% 4.52/0.96 fof(f3293,plain,(
% 4.52/0.96 ~in(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_9)|~in(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_9)|spl0_69),
% 4.52/0.96 inference(resolution,[status(thm)],[f2197,f108])).
% 4.52/0.96 fof(f3294,plain,(
% 4.52/0.96 ~spl0_23|~spl0_19|spl0_69),
% 4.52/0.96 inference(split_clause,[status(thm)],[f3293,f765,f742,f2195])).
% 4.52/0.96 fof(f4358,plain,(
% 4.52/0.96 ~in(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_9)|~in(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_9)|spl0_67),
% 4.52/0.96 inference(resolution,[status(thm)],[f2185,f108])).
% 4.52/0.96 fof(f4359,plain,(
% 4.52/0.96 ~spl0_19|~spl0_23|spl0_67),
% 4.52/0.96 inference(split_clause,[status(thm)],[f4358,f742,f765,f2183])).
% 4.52/0.96 fof(f4365,plain,(
% 4.52/0.96 $false),
% 4.52/0.96 inference(sat_refutation,[status(thm)],[f618,f623,f664,f741,f746,f759,f764,f769,f869,f1152,f1222,f1235,f1316,f1991,f2034,f2044,f2187,f2199,f3255,f3294,f4359])).
% 4.52/0.96 % SZS output end CNFRefutation for theBenchmark.p
% 4.52/0.98 % Elapsed time: 0.629575 seconds
% 4.52/0.98 % CPU time: 4.862372 seconds
% 4.52/0.98 % Total memory used: 166.163 MB
% 4.52/0.98 % Net memory used: 161.272 MB
%------------------------------------------------------------------------------