TSTP Solution File: SEU253+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n032.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 12:36:29 EDT 2023
% Result : Theorem 3.10s 0.72s
% Output : CNFRefutation 3.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU253+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 09:16:46 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 3.10/0.72 % Refutation found
% 3.10/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.10/0.72 % SZS output start CNFRefutation for theBenchmark
% 3.10/0.72 fof(f6,axiom,(
% 3.10/0.72 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 3.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.10/0.72 fof(f9,axiom,(
% 3.10/0.72 (! [A] :( relation(A)=> (! [B] : relation_restriction(A,B) = set_intersection2(A,cartesian_product2(B,B)) )) )),
% 3.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.10/0.72 fof(f15,axiom,(
% 3.10/0.72 (! [A,B] :( relation(A)=> relation(relation_restriction(A,B)) ) )),
% 3.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.10/0.72 fof(f23,axiom,(
% 3.10/0.72 empty(empty_set) ),
% 3.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.10/0.72 fof(f29,axiom,(
% 3.10/0.72 (! [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) ) )) ) )),
% 3.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.10/0.72 fof(f32,axiom,(
% 3.10/0.72 (? [A] :( relation(A)& empty(A)& function(A) ) )),
% 3.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.10/0.72 fof(f34,axiom,(
% 3.10/0.72 (? [A] :( relation(A)& function(A)& one_to_one(A) ) )),
% 3.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.10/0.72 fof(f35,axiom,(
% 3.10/0.72 (! [A,B,C,D] :( in(ordered_pair(A,B),cartesian_product2(C,D))<=> ( in(A,C)& in(B,D) ) ) )),
% 3.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.10/0.72 fof(f36,axiom,(
% 3.10/0.72 (! [A,B,C] :( relation(C)=> ( in(A,relation_restriction(C,B))<=> ( in(A,C)& in(A,cartesian_product2(B,B)) ) ) ) )),
% 3.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.10/0.72 fof(f37,axiom,(
% 3.10/0.72 (! [A,B,C] :( relation(C)=> ( in(A,relation_field(relation_restriction(C,B)))=> ( in(A,relation_field(C))& in(A,B) ) ) ) )),
% 3.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.10/0.72 fof(f40,conjecture,(
% 3.10/0.72 (! [A,B] :( relation(B)=> ( connected(B)=> connected(relation_restriction(B,A)) ) ) )),
% 3.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.10/0.72 fof(f41,negated_conjecture,(
% 3.10/0.72 ~((! [A,B] :( relation(B)=> ( connected(B)=> connected(relation_restriction(B,A)) ) ) ))),
% 3.10/0.72 inference(negated_conjecture,[status(cth)],[f40])).
% 3.10/0.72 fof(f42,axiom,(
% 3.10/0.72 (! [A] : set_intersection2(A,empty_set) = empty_set )),
% 3.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.10/0.72 fof(f44,axiom,(
% 3.10/0.72 (! [A] :( empty(A)=> A = empty_set ) )),
% 3.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.10/0.72 fof(f45,axiom,(
% 3.10/0.72 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 3.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.10/0.72 fof(f57,plain,(
% 3.10/0.72 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f6])).
% 3.10/0.72 fof(f61,plain,(
% 3.10/0.72 ![A]: (~relation(A)|(![B]: relation_restriction(A,B)=set_intersection2(A,cartesian_product2(B,B))))),
% 3.10/0.72 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 3.10/0.72 fof(f62,plain,(
% 3.10/0.72 ![X0,X1]: (~relation(X0)|relation_restriction(X0,X1)=set_intersection2(X0,cartesian_product2(X1,X1)))),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f61])).
% 3.10/0.72 fof(f63,plain,(
% 3.10/0.72 ![A,B]: (~relation(A)|relation(relation_restriction(A,B)))),
% 3.10/0.72 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 3.10/0.72 fof(f64,plain,(
% 3.10/0.72 ![A]: (~relation(A)|(![B]: relation(relation_restriction(A,B))))),
% 3.10/0.72 inference(miniscoping,[status(esa)],[f63])).
% 3.10/0.72 fof(f65,plain,(
% 3.10/0.72 ![X0,X1]: (~relation(X0)|relation(relation_restriction(X0,X1)))),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f64])).
% 3.10/0.72 fof(f68,plain,(
% 3.10/0.72 empty(empty_set)),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f23])).
% 3.10/0.72 fof(f80,plain,(
% 3.10/0.72 ![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)))))),
% 3.10/0.72 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 3.10/0.72 fof(f81,plain,(
% 3.10/0.72 ![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))))))),
% 3.10/0.72 inference(NNF_transformation,[status(esa)],[f80])).
% 3.10/0.72 fof(f82,plain,(
% 3.10/0.72 ![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)))))),
% 3.10/0.72 inference(skolemization,[status(esa)],[f81])).
% 3.10/0.72 fof(f83,plain,(
% 3.10/0.72 ![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))),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f82])).
% 3.10/0.72 fof(f84,plain,(
% 3.10/0.72 ![X0]: (~relation(X0)|connected(X0)|in(sk0_1(X0),relation_field(X0)))),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f82])).
% 3.10/0.72 fof(f85,plain,(
% 3.10/0.72 ![X0]: (~relation(X0)|connected(X0)|in(sk0_2(X0),relation_field(X0)))),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f82])).
% 3.10/0.72 fof(f86,plain,(
% 3.10/0.72 ![X0]: (~relation(X0)|connected(X0)|~sk0_1(X0)=sk0_2(X0))),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f82])).
% 3.10/0.72 fof(f87,plain,(
% 3.10/0.72 ![X0]: (~relation(X0)|connected(X0)|~in(ordered_pair(sk0_1(X0),sk0_2(X0)),X0))),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f82])).
% 3.10/0.72 fof(f88,plain,(
% 3.10/0.72 ![X0]: (~relation(X0)|connected(X0)|~in(ordered_pair(sk0_2(X0),sk0_1(X0)),X0))),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f82])).
% 3.10/0.72 fof(f94,plain,(
% 3.10/0.72 ((relation(sk0_5)&empty(sk0_5))&function(sk0_5))),
% 3.10/0.72 inference(skolemization,[status(esa)],[f32])).
% 3.10/0.72 fof(f95,plain,(
% 3.10/0.72 relation(sk0_5)),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f94])).
% 3.10/0.72 fof(f96,plain,(
% 3.10/0.72 empty(sk0_5)),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f94])).
% 3.10/0.72 fof(f100,plain,(
% 3.10/0.72 ((relation(sk0_7)&function(sk0_7))&one_to_one(sk0_7))),
% 3.10/0.72 inference(skolemization,[status(esa)],[f34])).
% 3.10/0.72 fof(f101,plain,(
% 3.10/0.72 relation(sk0_7)),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f100])).
% 3.10/0.72 fof(f104,plain,(
% 3.10/0.72 ![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))))),
% 3.10/0.72 inference(NNF_transformation,[status(esa)],[f35])).
% 3.10/0.72 fof(f105,plain,(
% 3.10/0.72 (![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))))),
% 3.10/0.72 inference(miniscoping,[status(esa)],[f104])).
% 3.10/0.72 fof(f108,plain,(
% 3.10/0.72 ![X0,X1,X2,X3]: (in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|~in(X0,X2)|~in(X1,X3))),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f105])).
% 3.10/0.72 fof(f109,plain,(
% 3.10/0.72 ![A,B,C]: (~relation(C)|(in(A,relation_restriction(C,B))<=>(in(A,C)&in(A,cartesian_product2(B,B)))))),
% 3.10/0.72 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 3.10/0.72 fof(f110,plain,(
% 3.10/0.72 ![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))))))),
% 3.10/0.72 inference(NNF_transformation,[status(esa)],[f109])).
% 3.10/0.72 fof(f111,plain,(
% 3.10/0.72 ![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)))))))),
% 3.10/0.72 inference(miniscoping,[status(esa)],[f110])).
% 3.10/0.72 fof(f114,plain,(
% 3.10/0.72 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_restriction(X0,X2))|~in(X1,X0)|~in(X1,cartesian_product2(X2,X2)))),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f111])).
% 3.10/0.72 fof(f115,plain,(
% 3.10/0.72 ![A,B,C]: (~relation(C)|(~in(A,relation_field(relation_restriction(C,B)))|(in(A,relation_field(C))&in(A,B))))),
% 3.10/0.72 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 3.10/0.72 fof(f116,plain,(
% 3.10/0.72 ![C]: (~relation(C)|(![A,B]: (~in(A,relation_field(relation_restriction(C,B)))|(in(A,relation_field(C))&in(A,B)))))),
% 3.10/0.72 inference(miniscoping,[status(esa)],[f115])).
% 3.10/0.72 fof(f117,plain,(
% 3.10/0.72 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_field(relation_restriction(X0,X2)))|in(X1,relation_field(X0)))),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f116])).
% 3.10/0.72 fof(f118,plain,(
% 3.10/0.72 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_field(relation_restriction(X0,X2)))|in(X1,X2))),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f116])).
% 3.10/0.72 fof(f122,plain,(
% 3.10/0.72 (?[A,B]: (relation(B)&(connected(B)&~connected(relation_restriction(B,A)))))),
% 3.10/0.72 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 3.10/0.72 fof(f123,plain,(
% 3.10/0.72 ?[B]: (relation(B)&(connected(B)&(?[A]: ~connected(relation_restriction(B,A)))))),
% 3.10/0.72 inference(miniscoping,[status(esa)],[f122])).
% 3.10/0.72 fof(f124,plain,(
% 3.10/0.72 (relation(sk0_8)&(connected(sk0_8)&~connected(relation_restriction(sk0_8,sk0_9))))),
% 3.10/0.72 inference(skolemization,[status(esa)],[f123])).
% 3.10/0.72 fof(f125,plain,(
% 3.10/0.72 relation(sk0_8)),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f124])).
% 3.10/0.72 fof(f126,plain,(
% 3.10/0.72 connected(sk0_8)),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f124])).
% 3.10/0.72 fof(f127,plain,(
% 3.10/0.72 ~connected(relation_restriction(sk0_8,sk0_9))),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f124])).
% 3.10/0.72 fof(f128,plain,(
% 3.10/0.72 ![X0]: (set_intersection2(X0,empty_set)=empty_set)),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f42])).
% 3.10/0.72 fof(f131,plain,(
% 3.10/0.72 ![A]: (~empty(A)|A=empty_set)),
% 3.10/0.72 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 3.10/0.72 fof(f132,plain,(
% 3.10/0.72 ![X0]: (~empty(X0)|X0=empty_set)),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f131])).
% 3.10/0.72 fof(f133,plain,(
% 3.10/0.72 ![A,B]: (~in(A,B)|~empty(B))),
% 3.10/0.72 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 3.10/0.72 fof(f134,plain,(
% 3.10/0.72 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 3.10/0.72 inference(miniscoping,[status(esa)],[f133])).
% 3.10/0.72 fof(f135,plain,(
% 3.10/0.72 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 3.10/0.72 inference(cnf_transformation,[status(esa)],[f134])).
% 3.10/0.72 fof(f139,plain,(
% 3.10/0.72 sk0_5=empty_set),
% 3.10/0.72 inference(resolution,[status(thm)],[f132,f96])).
% 3.10/0.72 fof(f143,plain,(
% 3.10/0.72 relation(empty_set)),
% 3.10/0.72 inference(backward_demodulation,[status(thm)],[f139,f95])).
% 3.10/0.72 fof(f154,plain,(
% 3.10/0.72 ![X0]: (set_intersection2(empty_set,X0)=empty_set)),
% 3.10/0.72 inference(paramodulation,[status(thm)],[f57,f128])).
% 3.10/0.72 fof(f370,plain,(
% 3.10/0.72 ![X0]: (relation_restriction(empty_set,X0)=set_intersection2(empty_set,cartesian_product2(X0,X0)))),
% 3.10/0.72 inference(resolution,[status(thm)],[f62,f143])).
% 3.10/0.72 fof(f371,plain,(
% 3.10/0.72 ![X0]: (relation_restriction(empty_set,X0)=empty_set)),
% 3.10/0.72 inference(forward_demodulation,[status(thm)],[f154,f370])).
% 3.10/0.72 fof(f379,plain,(
% 3.10/0.72 spl0_5 <=> relation(relation_restriction(sk0_8,sk0_9))),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f381,plain,(
% 3.10/0.72 ~relation(relation_restriction(sk0_8,sk0_9))|spl0_5),
% 3.10/0.72 inference(component_clause,[status(thm)],[f379])).
% 3.10/0.72 fof(f382,plain,(
% 3.10/0.72 spl0_6 <=> in(sk0_1(relation_restriction(sk0_8,sk0_9)),relation_field(relation_restriction(sk0_8,sk0_9)))),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f383,plain,(
% 3.10/0.72 in(sk0_1(relation_restriction(sk0_8,sk0_9)),relation_field(relation_restriction(sk0_8,sk0_9)))|~spl0_6),
% 3.10/0.72 inference(component_clause,[status(thm)],[f382])).
% 3.10/0.72 fof(f385,plain,(
% 3.10/0.72 ~relation(relation_restriction(sk0_8,sk0_9))|in(sk0_1(relation_restriction(sk0_8,sk0_9)),relation_field(relation_restriction(sk0_8,sk0_9)))),
% 3.10/0.72 inference(resolution,[status(thm)],[f84,f127])).
% 3.10/0.72 fof(f386,plain,(
% 3.10/0.72 ~spl0_5|spl0_6),
% 3.10/0.72 inference(split_clause,[status(thm)],[f385,f379,f382])).
% 3.10/0.72 fof(f387,plain,(
% 3.10/0.72 spl0_7 <=> in(sk0_2(relation_restriction(sk0_8,sk0_9)),relation_field(relation_restriction(sk0_8,sk0_9)))),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f388,plain,(
% 3.10/0.72 in(sk0_2(relation_restriction(sk0_8,sk0_9)),relation_field(relation_restriction(sk0_8,sk0_9)))|~spl0_7),
% 3.10/0.72 inference(component_clause,[status(thm)],[f387])).
% 3.10/0.72 fof(f390,plain,(
% 3.10/0.72 ~relation(relation_restriction(sk0_8,sk0_9))|in(sk0_2(relation_restriction(sk0_8,sk0_9)),relation_field(relation_restriction(sk0_8,sk0_9)))),
% 3.10/0.72 inference(resolution,[status(thm)],[f85,f127])).
% 3.10/0.72 fof(f391,plain,(
% 3.10/0.72 ~spl0_5|spl0_7),
% 3.10/0.72 inference(split_clause,[status(thm)],[f390,f379,f387])).
% 3.10/0.72 fof(f392,plain,(
% 3.10/0.72 ~relation(sk0_8)|spl0_5),
% 3.10/0.72 inference(resolution,[status(thm)],[f381,f65])).
% 3.10/0.72 fof(f393,plain,(
% 3.10/0.72 $false|spl0_5),
% 3.10/0.72 inference(forward_subsumption_resolution,[status(thm)],[f392,f125])).
% 3.10/0.72 fof(f394,plain,(
% 3.10/0.72 spl0_5),
% 3.10/0.72 inference(contradiction_clause,[status(thm)],[f393])).
% 3.10/0.72 fof(f419,plain,(
% 3.10/0.72 spl0_8 <=> relation(sk0_8)),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f421,plain,(
% 3.10/0.72 ~relation(sk0_8)|spl0_8),
% 3.10/0.72 inference(component_clause,[status(thm)],[f419])).
% 3.10/0.72 fof(f422,plain,(
% 3.10/0.72 spl0_9 <=> in(sk0_1(relation_restriction(sk0_8,sk0_9)),relation_field(sk0_8))),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f425,plain,(
% 3.10/0.72 ~relation(sk0_8)|in(sk0_1(relation_restriction(sk0_8,sk0_9)),relation_field(sk0_8))|~spl0_6),
% 3.10/0.72 inference(resolution,[status(thm)],[f383,f117])).
% 3.10/0.72 fof(f426,plain,(
% 3.10/0.72 ~spl0_8|spl0_9|~spl0_6),
% 3.10/0.72 inference(split_clause,[status(thm)],[f425,f419,f422,f382])).
% 3.10/0.72 fof(f427,plain,(
% 3.10/0.72 spl0_10 <=> in(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_9)),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f430,plain,(
% 3.10/0.72 ~relation(sk0_8)|in(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_9)|~spl0_6),
% 3.10/0.72 inference(resolution,[status(thm)],[f383,f118])).
% 3.10/0.72 fof(f431,plain,(
% 3.10/0.72 ~spl0_8|spl0_10|~spl0_6),
% 3.10/0.72 inference(split_clause,[status(thm)],[f430,f419,f427,f382])).
% 3.10/0.72 fof(f442,plain,(
% 3.10/0.72 $false|spl0_8),
% 3.10/0.72 inference(forward_subsumption_resolution,[status(thm)],[f421,f125])).
% 3.10/0.72 fof(f443,plain,(
% 3.10/0.72 spl0_8),
% 3.10/0.72 inference(contradiction_clause,[status(thm)],[f442])).
% 3.10/0.72 fof(f490,plain,(
% 3.10/0.72 spl0_13 <=> in(sk0_2(relation_restriction(sk0_8,sk0_9)),relation_field(sk0_8))),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f491,plain,(
% 3.10/0.72 in(sk0_2(relation_restriction(sk0_8,sk0_9)),relation_field(sk0_8))|~spl0_13),
% 3.10/0.72 inference(component_clause,[status(thm)],[f490])).
% 3.10/0.72 fof(f493,plain,(
% 3.10/0.72 ~relation(sk0_8)|in(sk0_2(relation_restriction(sk0_8,sk0_9)),relation_field(sk0_8))|~spl0_7),
% 3.10/0.72 inference(resolution,[status(thm)],[f388,f117])).
% 3.10/0.72 fof(f494,plain,(
% 3.10/0.72 ~spl0_8|spl0_13|~spl0_7),
% 3.10/0.72 inference(split_clause,[status(thm)],[f493,f419,f490,f387])).
% 3.10/0.72 fof(f495,plain,(
% 3.10/0.72 spl0_14 <=> in(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_9)),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f498,plain,(
% 3.10/0.72 ~relation(sk0_8)|in(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_9)|~spl0_7),
% 3.10/0.72 inference(resolution,[status(thm)],[f388,f118])).
% 3.10/0.72 fof(f499,plain,(
% 3.10/0.72 ~spl0_8|spl0_14|~spl0_7),
% 3.10/0.72 inference(split_clause,[status(thm)],[f498,f419,f495,f387])).
% 3.10/0.72 fof(f532,plain,(
% 3.10/0.72 spl0_16 <=> connected(sk0_8)),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f534,plain,(
% 3.10/0.72 ~connected(sk0_8)|spl0_16),
% 3.10/0.72 inference(component_clause,[status(thm)],[f532])).
% 3.10/0.72 fof(f541,plain,(
% 3.10/0.72 $false|spl0_16),
% 3.10/0.72 inference(forward_subsumption_resolution,[status(thm)],[f534,f126])).
% 3.10/0.72 fof(f542,plain,(
% 3.10/0.72 spl0_16),
% 3.10/0.72 inference(contradiction_clause,[status(thm)],[f541])).
% 3.10/0.72 fof(f543,plain,(
% 3.10/0.72 spl0_18 <=> ~in(X0,relation_field(sk0_8))|X0=sk0_2(relation_restriction(sk0_8,sk0_9))|in(ordered_pair(X0,sk0_2(relation_restriction(sk0_8,sk0_9))),sk0_8)|in(ordered_pair(sk0_2(relation_restriction(sk0_8,sk0_9)),X0),sk0_8)),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f544,plain,(
% 3.10/0.72 ![X0]: (~in(X0,relation_field(sk0_8))|X0=sk0_2(relation_restriction(sk0_8,sk0_9))|in(ordered_pair(X0,sk0_2(relation_restriction(sk0_8,sk0_9))),sk0_8)|in(ordered_pair(sk0_2(relation_restriction(sk0_8,sk0_9)),X0),sk0_8)|~spl0_18)),
% 3.10/0.72 inference(component_clause,[status(thm)],[f543])).
% 3.10/0.72 fof(f546,plain,(
% 3.10/0.72 ![X0]: (~relation(sk0_8)|~connected(sk0_8)|~in(X0,relation_field(sk0_8))|X0=sk0_2(relation_restriction(sk0_8,sk0_9))|in(ordered_pair(X0,sk0_2(relation_restriction(sk0_8,sk0_9))),sk0_8)|in(ordered_pair(sk0_2(relation_restriction(sk0_8,sk0_9)),X0),sk0_8)|~spl0_13)),
% 3.10/0.72 inference(resolution,[status(thm)],[f491,f83])).
% 3.10/0.72 fof(f547,plain,(
% 3.10/0.72 ~spl0_8|~spl0_16|spl0_18|~spl0_13),
% 3.10/0.72 inference(split_clause,[status(thm)],[f546,f419,f532,f543,f490])).
% 3.10/0.72 fof(f726,plain,(
% 3.10/0.72 spl0_22 <=> relation(empty_set)),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f728,plain,(
% 3.10/0.72 ~relation(empty_set)|spl0_22),
% 3.10/0.72 inference(component_clause,[status(thm)],[f726])).
% 3.10/0.72 fof(f751,plain,(
% 3.10/0.72 $false|spl0_22),
% 3.10/0.72 inference(forward_subsumption_resolution,[status(thm)],[f728,f143])).
% 3.10/0.72 fof(f752,plain,(
% 3.10/0.72 spl0_22),
% 3.10/0.72 inference(contradiction_clause,[status(thm)],[f751])).
% 3.10/0.72 fof(f754,plain,(
% 3.10/0.72 ![X0]: (~in(X0,empty_set))),
% 3.10/0.72 inference(resolution,[status(thm)],[f135,f68])).
% 3.10/0.72 fof(f755,plain,(
% 3.10/0.72 spl0_27 <=> sk0_1(relation_restriction(sk0_8,sk0_9))=sk0_2(relation_restriction(sk0_8,sk0_9))),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f758,plain,(
% 3.10/0.72 ~relation(relation_restriction(sk0_8,sk0_9))|~sk0_1(relation_restriction(sk0_8,sk0_9))=sk0_2(relation_restriction(sk0_8,sk0_9))),
% 3.10/0.72 inference(resolution,[status(thm)],[f86,f127])).
% 3.10/0.72 fof(f759,plain,(
% 3.10/0.72 ~spl0_5|~spl0_27),
% 3.10/0.72 inference(split_clause,[status(thm)],[f758,f379,f755])).
% 3.10/0.72 fof(f1014,plain,(
% 3.10/0.72 ![X0,X1,X2,X3]: (~relation(X0)|in(ordered_pair(X1,X2),relation_restriction(X0,X3))|~in(ordered_pair(X1,X2),X0)|~in(X1,X3)|~in(X2,X3))),
% 3.10/0.72 inference(resolution,[status(thm)],[f114,f108])).
% 3.10/0.72 fof(f1210,plain,(
% 3.10/0.72 spl0_45 <=> 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))),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f1212,plain,(
% 3.10/0.72 ~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_45),
% 3.10/0.72 inference(component_clause,[status(thm)],[f1210])).
% 3.10/0.72 fof(f1213,plain,(
% 3.10/0.72 ~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))),
% 3.10/0.72 inference(resolution,[status(thm)],[f88,f127])).
% 3.10/0.72 fof(f1214,plain,(
% 3.10/0.72 ~spl0_5|~spl0_45),
% 3.10/0.72 inference(split_clause,[status(thm)],[f1213,f379,f1210])).
% 3.10/0.72 fof(f1217,plain,(
% 3.10/0.72 spl0_46 <=> 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))),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f1219,plain,(
% 3.10/0.72 ~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_46),
% 3.10/0.72 inference(component_clause,[status(thm)],[f1217])).
% 3.10/0.72 fof(f1267,plain,(
% 3.10/0.72 spl0_49 <=> in(sk0_0(relation_restriction(empty_set,X0)),empty_set)),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f1268,plain,(
% 3.10/0.72 ![X0]: (in(sk0_0(relation_restriction(empty_set,X0)),empty_set)|~spl0_49)),
% 3.10/0.72 inference(component_clause,[status(thm)],[f1267])).
% 3.10/0.72 fof(f1290,plain,(
% 3.10/0.72 in(sk0_0(empty_set),empty_set)|~spl0_49),
% 3.10/0.72 inference(forward_demodulation,[status(thm)],[f371,f1268])).
% 3.10/0.72 fof(f1291,plain,(
% 3.10/0.72 $false|~spl0_49),
% 3.10/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1290,f754])).
% 3.10/0.72 fof(f1292,plain,(
% 3.10/0.72 ~spl0_49),
% 3.10/0.72 inference(contradiction_clause,[status(thm)],[f1291])).
% 3.10/0.72 fof(f1335,plain,(
% 3.10/0.72 ~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))),
% 3.10/0.72 inference(resolution,[status(thm)],[f87,f127])).
% 3.10/0.72 fof(f1336,plain,(
% 3.10/0.72 ~spl0_5|~spl0_46),
% 3.10/0.72 inference(split_clause,[status(thm)],[f1335,f379,f1217])).
% 3.10/0.72 fof(f1848,plain,(
% 3.10/0.72 spl0_70 <=> in(sk0_0(empty_set),empty_set)),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f1849,plain,(
% 3.10/0.72 in(sk0_0(empty_set),empty_set)|~spl0_70),
% 3.10/0.72 inference(component_clause,[status(thm)],[f1848])).
% 3.10/0.72 fof(f1873,plain,(
% 3.10/0.72 spl0_75 <=> relation(sk0_7)),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f1875,plain,(
% 3.10/0.72 ~relation(sk0_7)|spl0_75),
% 3.10/0.72 inference(component_clause,[status(thm)],[f1873])).
% 3.10/0.72 fof(f1891,plain,(
% 3.10/0.72 $false|spl0_75),
% 3.10/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1875,f101])).
% 3.10/0.72 fof(f1892,plain,(
% 3.10/0.72 spl0_75),
% 3.10/0.72 inference(contradiction_clause,[status(thm)],[f1891])).
% 3.10/0.72 fof(f1908,plain,(
% 3.10/0.72 spl0_81 <=> in(sk0_2(empty_set),empty_set)),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f1909,plain,(
% 3.10/0.72 in(sk0_2(empty_set),empty_set)|~spl0_81),
% 3.10/0.72 inference(component_clause,[status(thm)],[f1908])).
% 3.10/0.72 fof(f1916,plain,(
% 3.10/0.72 $false|~spl0_81),
% 3.10/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1909,f754])).
% 3.10/0.72 fof(f1917,plain,(
% 3.10/0.72 ~spl0_81),
% 3.10/0.72 inference(contradiction_clause,[status(thm)],[f1916])).
% 3.10/0.72 fof(f2325,plain,(
% 3.10/0.72 $false|~spl0_70),
% 3.10/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1849,f754])).
% 3.10/0.72 fof(f2326,plain,(
% 3.10/0.72 ~spl0_70),
% 3.10/0.72 inference(contradiction_clause,[status(thm)],[f2325])).
% 3.10/0.72 fof(f3295,plain,(
% 3.10/0.72 spl0_170 <=> in(ordered_pair(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_2(relation_restriction(sk0_8,sk0_9))),sk0_8)),
% 3.10/0.72 introduced(split_symbol_definition)).
% 3.10/0.72 fof(f3298,plain,(
% 3.10/0.72 ~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(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_9)|~in(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_9)|spl0_46),
% 3.10/0.73 inference(resolution,[status(thm)],[f1014,f1219])).
% 3.10/0.73 fof(f3299,plain,(
% 3.10/0.73 ~spl0_8|~spl0_170|~spl0_10|~spl0_14|spl0_46),
% 3.10/0.73 inference(split_clause,[status(thm)],[f3298,f419,f3295,f427,f495,f1217])).
% 3.10/0.73 fof(f3302,plain,(
% 3.10/0.73 spl0_171 <=> in(ordered_pair(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_1(relation_restriction(sk0_8,sk0_9))),sk0_8)),
% 3.10/0.73 introduced(split_symbol_definition)).
% 3.10/0.73 fof(f3304,plain,(
% 3.10/0.73 ~in(ordered_pair(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_1(relation_restriction(sk0_8,sk0_9))),sk0_8)|spl0_171),
% 3.10/0.73 inference(component_clause,[status(thm)],[f3302])).
% 3.10/0.73 fof(f3305,plain,(
% 3.10/0.73 ~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(sk0_2(relation_restriction(sk0_8,sk0_9)),sk0_9)|~in(sk0_1(relation_restriction(sk0_8,sk0_9)),sk0_9)|spl0_45),
% 3.10/0.73 inference(resolution,[status(thm)],[f1014,f1212])).
% 3.10/0.73 fof(f3306,plain,(
% 3.10/0.73 ~spl0_8|~spl0_171|~spl0_14|~spl0_10|spl0_45),
% 3.10/0.73 inference(split_clause,[status(thm)],[f3305,f419,f3302,f495,f427,f1210])).
% 3.10/0.73 fof(f3339,plain,(
% 3.10/0.73 ~in(sk0_1(relation_restriction(sk0_8,sk0_9)),relation_field(sk0_8))|sk0_1(relation_restriction(sk0_8,sk0_9))=sk0_2(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))),sk0_8)|spl0_171|~spl0_18),
% 3.10/0.73 inference(resolution,[status(thm)],[f3304,f544])).
% 3.10/0.73 fof(f3340,plain,(
% 3.10/0.73 ~spl0_9|spl0_27|spl0_170|spl0_171|~spl0_18),
% 3.10/0.73 inference(split_clause,[status(thm)],[f3339,f422,f755,f3295,f3302,f543])).
% 3.10/0.73 fof(f3350,plain,(
% 3.10/0.73 $false),
% 3.10/0.73 inference(sat_refutation,[status(thm)],[f386,f391,f394,f426,f431,f443,f494,f499,f542,f547,f752,f759,f1214,f1292,f1336,f1892,f1917,f2326,f3299,f3306,f3340])).
% 3.10/0.73 % SZS output end CNFRefutation for theBenchmark.p
% 3.10/0.74 % Elapsed time: 0.433330 seconds
% 3.10/0.74 % CPU time: 3.326096 seconds
% 3.10/0.74 % Memory used: 123.626 MB
%------------------------------------------------------------------------------