TSTP Solution File: SEU254+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU254+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 0.22s 0.43s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU254+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n029.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 : Mon Apr 29 20:08:34 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.22/0.43 % Refutation found
% 0.22/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.43 fof(f11,axiom,(
% 0.22/0.43 (! [A,B] :( relation(A)=> relation(relation_restriction(A,B)) ) )),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.43 fof(f20,axiom,(
% 0.22/0.43 (! [A] :( relation(A)=> ( transitive(A)<=> (! [B,C,D] :( ( in(ordered_pair(B,C),A)& in(ordered_pair(C,D),A) )=> in(ordered_pair(B,D),A) ) )) ) )),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.43 fof(f23,axiom,(
% 0.22/0.43 (? [A] :( relation(A)& empty(A)& function(A) ) )),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.43 fof(f26,axiom,(
% 0.22/0.43 (! [A,B,C,D] :( in(ordered_pair(A,B),cartesian_product2(C,D))<=> ( in(A,C)& in(B,D) ) ) )),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.43 fof(f27,axiom,(
% 0.22/0.43 (! [A,B,C] :( relation(C)=> ( in(A,relation_restriction(C,B))<=> ( in(A,C)& in(A,cartesian_product2(B,B)) ) ) ) )),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.43 fof(f29,conjecture,(
% 0.22/0.43 (! [A,B] :( relation(B)=> ( transitive(B)=> transitive(relation_restriction(B,A)) ) ) )),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.43 fof(f30,negated_conjecture,(
% 0.22/0.43 ~((! [A,B] :( relation(B)=> ( transitive(B)=> transitive(relation_restriction(B,A)) ) ) ))),
% 0.22/0.43 inference(negated_conjecture,[status(cth)],[f29])).
% 0.22/0.43 fof(f33,axiom,(
% 0.22/0.43 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.43 fof(f49,plain,(
% 0.22/0.43 ![A,B]: (~relation(A)|relation(relation_restriction(A,B)))),
% 0.22/0.43 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.22/0.43 fof(f50,plain,(
% 0.22/0.43 ![A]: (~relation(A)|(![B]: relation(relation_restriction(A,B))))),
% 0.22/0.43 inference(miniscoping,[status(esa)],[f49])).
% 0.22/0.43 fof(f51,plain,(
% 0.22/0.43 ![X0,X1]: (~relation(X0)|relation(relation_restriction(X0,X1)))),
% 0.22/0.43 inference(cnf_transformation,[status(esa)],[f50])).
% 0.22/0.43 fof(f58,plain,(
% 0.22/0.43 ![A]: (~relation(A)|(transitive(A)<=>(![B,C,D]: ((~in(ordered_pair(B,C),A)|~in(ordered_pair(C,D),A))|in(ordered_pair(B,D),A)))))),
% 0.22/0.43 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.22/0.43 fof(f59,plain,(
% 0.22/0.43 ![A]: (~relation(A)|((~transitive(A)|(![B,C,D]: ((~in(ordered_pair(B,C),A)|~in(ordered_pair(C,D),A))|in(ordered_pair(B,D),A))))&(transitive(A)|(?[B,C,D]: ((in(ordered_pair(B,C),A)&in(ordered_pair(C,D),A))&~in(ordered_pair(B,D),A))))))),
% 0.22/0.43 inference(NNF_transformation,[status(esa)],[f58])).
% 0.22/0.43 fof(f60,plain,(
% 0.22/0.43 ![A]: (~relation(A)|((~transitive(A)|(![B,D]: ((![C]: (~in(ordered_pair(B,C),A)|~in(ordered_pair(C,D),A)))|in(ordered_pair(B,D),A))))&(transitive(A)|(?[B,D]: ((?[C]: (in(ordered_pair(B,C),A)&in(ordered_pair(C,D),A)))&~in(ordered_pair(B,D),A))))))),
% 0.22/0.43 inference(miniscoping,[status(esa)],[f59])).
% 0.22/0.43 fof(f61,plain,(
% 0.22/0.43 ![A]: (~relation(A)|((~transitive(A)|(![B,D]: ((![C]: (~in(ordered_pair(B,C),A)|~in(ordered_pair(C,D),A)))|in(ordered_pair(B,D),A))))&(transitive(A)|((in(ordered_pair(sk0_1(A),sk0_3(A)),A)&in(ordered_pair(sk0_3(A),sk0_2(A)),A))&~in(ordered_pair(sk0_1(A),sk0_2(A)),A)))))),
% 0.22/0.43 inference(skolemization,[status(esa)],[f60])).
% 0.22/0.43 fof(f62,plain,(
% 0.22/0.43 ![X0,X1,X2,X3]: (~relation(X0)|~transitive(X0)|~in(ordered_pair(X1,X2),X0)|~in(ordered_pair(X2,X3),X0)|in(ordered_pair(X1,X3),X0))),
% 0.22/0.43 inference(cnf_transformation,[status(esa)],[f61])).
% 0.22/0.43 fof(f63,plain,(
% 0.22/0.43 ![X0]: (~relation(X0)|transitive(X0)|in(ordered_pair(sk0_1(X0),sk0_3(X0)),X0))),
% 0.22/0.43 inference(cnf_transformation,[status(esa)],[f61])).
% 0.22/0.43 fof(f64,plain,(
% 0.22/0.43 ![X0]: (~relation(X0)|transitive(X0)|in(ordered_pair(sk0_3(X0),sk0_2(X0)),X0))),
% 0.22/0.43 inference(cnf_transformation,[status(esa)],[f61])).
% 0.22/0.43 fof(f65,plain,(
% 0.22/0.43 ![X0]: (~relation(X0)|transitive(X0)|~in(ordered_pair(sk0_1(X0),sk0_2(X0)),X0))),
% 0.22/0.43 inference(cnf_transformation,[status(esa)],[f61])).
% 0.22/0.43 fof(f71,plain,(
% 0.22/0.43 ((relation(sk0_6)&empty(sk0_6))&function(sk0_6))),
% 0.22/0.43 inference(skolemization,[status(esa)],[f23])).
% 0.22/0.43 fof(f72,plain,(
% 0.22/0.43 relation(sk0_6)),
% 0.22/0.43 inference(cnf_transformation,[status(esa)],[f71])).
% 0.22/0.43 fof(f73,plain,(
% 0.22/0.43 empty(sk0_6)),
% 0.22/0.43 inference(cnf_transformation,[status(esa)],[f71])).
% 0.22/0.43 fof(f81,plain,(
% 0.22/0.43 ![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))))),
% 0.22/0.45 inference(NNF_transformation,[status(esa)],[f26])).
% 0.22/0.45 fof(f82,plain,(
% 0.22/0.45 (![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))))),
% 0.22/0.45 inference(miniscoping,[status(esa)],[f81])).
% 0.22/0.45 fof(f83,plain,(
% 0.22/0.45 ![X0,X1,X2,X3]: (~in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|in(X0,X2))),
% 0.22/0.45 inference(cnf_transformation,[status(esa)],[f82])).
% 0.22/0.45 fof(f84,plain,(
% 0.22/0.45 ![X0,X1,X2,X3]: (~in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|in(X1,X3))),
% 0.22/0.45 inference(cnf_transformation,[status(esa)],[f82])).
% 0.22/0.45 fof(f85,plain,(
% 0.22/0.45 ![X0,X1,X2,X3]: (in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|~in(X0,X2)|~in(X1,X3))),
% 0.22/0.45 inference(cnf_transformation,[status(esa)],[f82])).
% 0.22/0.45 fof(f86,plain,(
% 0.22/0.45 ![A,B,C]: (~relation(C)|(in(A,relation_restriction(C,B))<=>(in(A,C)&in(A,cartesian_product2(B,B)))))),
% 0.22/0.45 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 0.22/0.45 fof(f87,plain,(
% 0.22/0.45 ![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))))))),
% 0.22/0.45 inference(NNF_transformation,[status(esa)],[f86])).
% 0.22/0.45 fof(f88,plain,(
% 0.22/0.45 ![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)))))))),
% 0.22/0.45 inference(miniscoping,[status(esa)],[f87])).
% 0.22/0.45 fof(f89,plain,(
% 0.22/0.45 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_restriction(X0,X2))|in(X1,X0))),
% 0.22/0.45 inference(cnf_transformation,[status(esa)],[f88])).
% 0.22/0.45 fof(f90,plain,(
% 0.22/0.45 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_restriction(X0,X2))|in(X1,cartesian_product2(X2,X2)))),
% 0.22/0.45 inference(cnf_transformation,[status(esa)],[f88])).
% 0.22/0.45 fof(f91,plain,(
% 0.22/0.45 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_restriction(X0,X2))|~in(X1,X0)|~in(X1,cartesian_product2(X2,X2)))),
% 0.22/0.45 inference(cnf_transformation,[status(esa)],[f88])).
% 0.22/0.45 fof(f94,plain,(
% 0.22/0.45 (?[A,B]: (relation(B)&(transitive(B)&~transitive(relation_restriction(B,A)))))),
% 0.22/0.45 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 0.22/0.45 fof(f95,plain,(
% 0.22/0.45 ?[B]: (relation(B)&(transitive(B)&(?[A]: ~transitive(relation_restriction(B,A)))))),
% 0.22/0.45 inference(miniscoping,[status(esa)],[f94])).
% 0.22/0.45 fof(f96,plain,(
% 0.22/0.45 (relation(sk0_9)&(transitive(sk0_9)&~transitive(relation_restriction(sk0_9,sk0_10))))),
% 0.22/0.45 inference(skolemization,[status(esa)],[f95])).
% 0.22/0.45 fof(f97,plain,(
% 0.22/0.45 relation(sk0_9)),
% 0.22/0.45 inference(cnf_transformation,[status(esa)],[f96])).
% 0.22/0.45 fof(f98,plain,(
% 0.22/0.45 transitive(sk0_9)),
% 0.22/0.45 inference(cnf_transformation,[status(esa)],[f96])).
% 0.22/0.45 fof(f99,plain,(
% 0.22/0.45 ~transitive(relation_restriction(sk0_9,sk0_10))),
% 0.22/0.45 inference(cnf_transformation,[status(esa)],[f96])).
% 0.22/0.45 fof(f103,plain,(
% 0.22/0.45 ![A]: (~empty(A)|A=empty_set)),
% 0.22/0.45 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 0.22/0.45 fof(f104,plain,(
% 0.22/0.45 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.22/0.45 inference(cnf_transformation,[status(esa)],[f103])).
% 0.22/0.45 fof(f111,plain,(
% 0.22/0.45 sk0_6=empty_set),
% 0.22/0.45 inference(resolution,[status(thm)],[f104,f73])).
% 0.22/0.45 fof(f115,plain,(
% 0.22/0.45 relation(empty_set)),
% 0.22/0.45 inference(backward_demodulation,[status(thm)],[f111,f72])).
% 0.22/0.45 fof(f260,plain,(
% 0.22/0.45 spl0_0 <=> relation(relation_restriction(sk0_9,sk0_10))),
% 0.22/0.45 introduced(split_symbol_definition)).
% 0.22/0.45 fof(f262,plain,(
% 0.22/0.45 ~relation(relation_restriction(sk0_9,sk0_10))|spl0_0),
% 0.22/0.45 inference(component_clause,[status(thm)],[f260])).
% 0.22/0.45 fof(f263,plain,(
% 0.22/0.45 spl0_1 <=> in(ordered_pair(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_3(relation_restriction(sk0_9,sk0_10))),relation_restriction(sk0_9,sk0_10))),
% 0.22/0.45 introduced(split_symbol_definition)).
% 0.22/0.45 fof(f264,plain,(
% 0.22/0.45 in(ordered_pair(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_3(relation_restriction(sk0_9,sk0_10))),relation_restriction(sk0_9,sk0_10))|~spl0_1),
% 0.22/0.45 inference(component_clause,[status(thm)],[f263])).
% 0.22/0.45 fof(f266,plain,(
% 0.22/0.45 ~relation(relation_restriction(sk0_9,sk0_10))|in(ordered_pair(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_3(relation_restriction(sk0_9,sk0_10))),relation_restriction(sk0_9,sk0_10))),
% 0.22/0.45 inference(resolution,[status(thm)],[f63,f99])).
% 0.22/0.45 fof(f267,plain,(
% 0.22/0.45 ~spl0_0|spl0_1),
% 0.22/0.45 inference(split_clause,[status(thm)],[f266,f260,f263])).
% 0.22/0.45 fof(f268,plain,(
% 0.22/0.45 spl0_2 <=> in(ordered_pair(sk0_3(relation_restriction(sk0_9,sk0_10)),sk0_2(relation_restriction(sk0_9,sk0_10))),relation_restriction(sk0_9,sk0_10))),
% 0.22/0.45 introduced(split_symbol_definition)).
% 0.22/0.45 fof(f269,plain,(
% 0.22/0.45 in(ordered_pair(sk0_3(relation_restriction(sk0_9,sk0_10)),sk0_2(relation_restriction(sk0_9,sk0_10))),relation_restriction(sk0_9,sk0_10))|~spl0_2),
% 0.22/0.45 inference(component_clause,[status(thm)],[f268])).
% 0.22/0.45 fof(f271,plain,(
% 0.22/0.45 ~relation(relation_restriction(sk0_9,sk0_10))|in(ordered_pair(sk0_3(relation_restriction(sk0_9,sk0_10)),sk0_2(relation_restriction(sk0_9,sk0_10))),relation_restriction(sk0_9,sk0_10))),
% 0.22/0.45 inference(resolution,[status(thm)],[f64,f99])).
% 0.22/0.45 fof(f272,plain,(
% 0.22/0.45 ~spl0_0|spl0_2),
% 0.22/0.45 inference(split_clause,[status(thm)],[f271,f260,f268])).
% 0.22/0.45 fof(f273,plain,(
% 0.22/0.45 ~relation(sk0_9)|spl0_0),
% 0.22/0.45 inference(resolution,[status(thm)],[f262,f51])).
% 0.22/0.45 fof(f274,plain,(
% 0.22/0.45 $false|spl0_0),
% 0.22/0.45 inference(forward_subsumption_resolution,[status(thm)],[f273,f97])).
% 0.22/0.45 fof(f275,plain,(
% 0.22/0.45 spl0_0),
% 0.22/0.45 inference(contradiction_clause,[status(thm)],[f274])).
% 0.22/0.45 fof(f289,plain,(
% 0.22/0.45 spl0_5 <=> relation(sk0_9)),
% 0.22/0.45 introduced(split_symbol_definition)).
% 0.22/0.45 fof(f291,plain,(
% 0.22/0.45 ~relation(sk0_9)|spl0_5),
% 0.22/0.45 inference(component_clause,[status(thm)],[f289])).
% 0.22/0.45 fof(f292,plain,(
% 0.22/0.45 spl0_6 <=> in(ordered_pair(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_3(relation_restriction(sk0_9,sk0_10))),cartesian_product2(sk0_10,sk0_10))),
% 0.22/0.45 introduced(split_symbol_definition)).
% 0.22/0.45 fof(f293,plain,(
% 0.22/0.45 in(ordered_pair(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_3(relation_restriction(sk0_9,sk0_10))),cartesian_product2(sk0_10,sk0_10))|~spl0_6),
% 0.22/0.45 inference(component_clause,[status(thm)],[f292])).
% 0.22/0.45 fof(f295,plain,(
% 0.22/0.45 ~relation(sk0_9)|in(ordered_pair(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_3(relation_restriction(sk0_9,sk0_10))),cartesian_product2(sk0_10,sk0_10))|~spl0_1),
% 0.22/0.45 inference(resolution,[status(thm)],[f264,f90])).
% 0.22/0.45 fof(f296,plain,(
% 0.22/0.45 ~spl0_5|spl0_6|~spl0_1),
% 0.22/0.45 inference(split_clause,[status(thm)],[f295,f289,f292,f263])).
% 0.22/0.45 fof(f297,plain,(
% 0.22/0.45 spl0_7 <=> in(ordered_pair(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_3(relation_restriction(sk0_9,sk0_10))),sk0_9)),
% 0.22/0.45 introduced(split_symbol_definition)).
% 0.22/0.45 fof(f298,plain,(
% 0.22/0.45 in(ordered_pair(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_3(relation_restriction(sk0_9,sk0_10))),sk0_9)|~spl0_7),
% 0.22/0.45 inference(component_clause,[status(thm)],[f297])).
% 0.22/0.45 fof(f300,plain,(
% 0.22/0.45 ~relation(sk0_9)|in(ordered_pair(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_3(relation_restriction(sk0_9,sk0_10))),sk0_9)|~spl0_1),
% 0.22/0.45 inference(resolution,[status(thm)],[f264,f89])).
% 0.22/0.45 fof(f301,plain,(
% 0.22/0.45 ~spl0_5|spl0_7|~spl0_1),
% 0.22/0.45 inference(split_clause,[status(thm)],[f300,f289,f297,f263])).
% 0.22/0.45 fof(f304,plain,(
% 0.22/0.45 $false|spl0_5),
% 0.22/0.45 inference(forward_subsumption_resolution,[status(thm)],[f291,f97])).
% 0.22/0.45 fof(f305,plain,(
% 0.22/0.45 spl0_5),
% 0.22/0.45 inference(contradiction_clause,[status(thm)],[f304])).
% 0.22/0.45 fof(f324,plain,(
% 0.22/0.45 spl0_11 <=> in(ordered_pair(sk0_3(relation_restriction(sk0_9,sk0_10)),sk0_2(relation_restriction(sk0_9,sk0_10))),cartesian_product2(sk0_10,sk0_10))),
% 0.22/0.45 introduced(split_symbol_definition)).
% 0.22/0.45 fof(f325,plain,(
% 0.22/0.45 in(ordered_pair(sk0_3(relation_restriction(sk0_9,sk0_10)),sk0_2(relation_restriction(sk0_9,sk0_10))),cartesian_product2(sk0_10,sk0_10))|~spl0_11),
% 0.22/0.45 inference(component_clause,[status(thm)],[f324])).
% 0.22/0.45 fof(f327,plain,(
% 0.22/0.45 ~relation(sk0_9)|in(ordered_pair(sk0_3(relation_restriction(sk0_9,sk0_10)),sk0_2(relation_restriction(sk0_9,sk0_10))),cartesian_product2(sk0_10,sk0_10))|~spl0_2),
% 0.22/0.45 inference(resolution,[status(thm)],[f269,f90])).
% 0.22/0.45 fof(f328,plain,(
% 0.22/0.45 ~spl0_5|spl0_11|~spl0_2),
% 0.22/0.45 inference(split_clause,[status(thm)],[f327,f289,f324,f268])).
% 0.22/0.45 fof(f329,plain,(
% 0.22/0.45 spl0_12 <=> in(ordered_pair(sk0_3(relation_restriction(sk0_9,sk0_10)),sk0_2(relation_restriction(sk0_9,sk0_10))),sk0_9)),
% 0.22/0.45 introduced(split_symbol_definition)).
% 0.22/0.45 fof(f330,plain,(
% 0.22/0.45 in(ordered_pair(sk0_3(relation_restriction(sk0_9,sk0_10)),sk0_2(relation_restriction(sk0_9,sk0_10))),sk0_9)|~spl0_12),
% 0.22/0.45 inference(component_clause,[status(thm)],[f329])).
% 0.22/0.45 fof(f332,plain,(
% 0.22/0.45 ~relation(sk0_9)|in(ordered_pair(sk0_3(relation_restriction(sk0_9,sk0_10)),sk0_2(relation_restriction(sk0_9,sk0_10))),sk0_9)|~spl0_2),
% 0.22/0.45 inference(resolution,[status(thm)],[f269,f89])).
% 0.22/0.45 fof(f333,plain,(
% 0.22/0.45 ~spl0_5|spl0_12|~spl0_2),
% 0.22/0.45 inference(split_clause,[status(thm)],[f332,f289,f329,f268])).
% 0.22/0.45 fof(f370,plain,(
% 0.22/0.45 spl0_18 <=> transitive(sk0_9)),
% 0.22/0.45 introduced(split_symbol_definition)).
% 0.22/0.45 fof(f372,plain,(
% 0.22/0.45 ~transitive(sk0_9)|spl0_18),
% 0.22/0.45 inference(component_clause,[status(thm)],[f370])).
% 0.22/0.45 fof(f379,plain,(
% 0.22/0.45 $false|spl0_18),
% 0.22/0.45 inference(forward_subsumption_resolution,[status(thm)],[f372,f98])).
% 0.22/0.45 fof(f380,plain,(
% 0.22/0.45 spl0_18),
% 0.22/0.45 inference(contradiction_clause,[status(thm)],[f379])).
% 0.22/0.45 fof(f381,plain,(
% 0.22/0.45 spl0_20 <=> ~in(ordered_pair(X0,sk0_3(relation_restriction(sk0_9,sk0_10))),sk0_9)|in(ordered_pair(X0,sk0_2(relation_restriction(sk0_9,sk0_10))),sk0_9)),
% 0.22/0.45 introduced(split_symbol_definition)).
% 0.22/0.45 fof(f382,plain,(
% 0.22/0.45 ![X0]: (~in(ordered_pair(X0,sk0_3(relation_restriction(sk0_9,sk0_10))),sk0_9)|in(ordered_pair(X0,sk0_2(relation_restriction(sk0_9,sk0_10))),sk0_9)|~spl0_20)),
% 0.22/0.45 inference(component_clause,[status(thm)],[f381])).
% 0.22/0.45 fof(f384,plain,(
% 0.22/0.45 ![X0]: (~relation(sk0_9)|~transitive(sk0_9)|~in(ordered_pair(X0,sk0_3(relation_restriction(sk0_9,sk0_10))),sk0_9)|in(ordered_pair(X0,sk0_2(relation_restriction(sk0_9,sk0_10))),sk0_9)|~spl0_12)),
% 0.22/0.45 inference(resolution,[status(thm)],[f330,f62])).
% 0.22/0.45 fof(f385,plain,(
% 0.22/0.45 ~spl0_5|~spl0_18|spl0_20|~spl0_12),
% 0.22/0.45 inference(split_clause,[status(thm)],[f384,f289,f370,f381,f329])).
% 0.22/0.45 fof(f427,plain,(
% 0.22/0.45 in(ordered_pair(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_2(relation_restriction(sk0_9,sk0_10))),sk0_9)|~spl0_20|~spl0_7),
% 0.22/0.45 inference(resolution,[status(thm)],[f382,f298])).
% 0.22/0.45 fof(f456,plain,(
% 0.22/0.45 spl0_28 <=> relation(empty_set)),
% 0.22/0.45 introduced(split_symbol_definition)).
% 0.22/0.45 fof(f458,plain,(
% 0.22/0.45 ~relation(empty_set)|spl0_28),
% 0.22/0.45 inference(component_clause,[status(thm)],[f456])).
% 0.22/0.45 fof(f462,plain,(
% 0.22/0.45 $false|spl0_28),
% 0.22/0.45 inference(forward_subsumption_resolution,[status(thm)],[f458,f115])).
% 0.22/0.45 fof(f463,plain,(
% 0.22/0.45 spl0_28),
% 0.22/0.45 inference(contradiction_clause,[status(thm)],[f462])).
% 0.22/0.45 fof(f613,plain,(
% 0.22/0.45 in(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_10)|~spl0_6),
% 0.22/0.45 inference(resolution,[status(thm)],[f83,f293])).
% 0.22/0.45 fof(f614,plain,(
% 0.22/0.45 in(sk0_2(relation_restriction(sk0_9,sk0_10)),sk0_10)|~spl0_11),
% 0.22/0.45 inference(resolution,[status(thm)],[f84,f325])).
% 0.22/0.45 fof(f642,plain,(
% 0.22/0.45 ![X0,X1,X2,X3]: (~in(X0,X1)|~in(X2,X1)|~relation(X3)|in(ordered_pair(X0,X2),relation_restriction(X3,X1))|~in(ordered_pair(X0,X2),X3))),
% 0.22/0.45 inference(resolution,[status(thm)],[f85,f91])).
% 0.22/0.45 fof(f858,plain,(
% 0.22/0.45 spl0_69 <=> in(ordered_pair(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_2(relation_restriction(sk0_9,sk0_10))),relation_restriction(sk0_9,sk0_10))),
% 0.22/0.45 introduced(split_symbol_definition)).
% 0.22/0.45 fof(f860,plain,(
% 0.22/0.45 ~in(ordered_pair(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_2(relation_restriction(sk0_9,sk0_10))),relation_restriction(sk0_9,sk0_10))|spl0_69),
% 0.22/0.45 inference(component_clause,[status(thm)],[f858])).
% 0.22/0.45 fof(f861,plain,(
% 0.22/0.45 ~relation(relation_restriction(sk0_9,sk0_10))|~in(ordered_pair(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_2(relation_restriction(sk0_9,sk0_10))),relation_restriction(sk0_9,sk0_10))),
% 0.22/0.45 inference(resolution,[status(thm)],[f65,f99])).
% 0.22/0.45 fof(f862,plain,(
% 0.22/0.45 ~spl0_0|~spl0_69),
% 0.22/0.45 inference(split_clause,[status(thm)],[f861,f260,f858])).
% 0.22/0.45 fof(f874,plain,(
% 0.22/0.45 spl0_70 <=> in(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_10)),
% 0.22/0.45 introduced(split_symbol_definition)).
% 0.22/0.45 fof(f876,plain,(
% 0.22/0.45 ~in(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_10)|spl0_70),
% 0.22/0.45 inference(component_clause,[status(thm)],[f874])).
% 0.22/0.45 fof(f877,plain,(
% 0.22/0.45 spl0_71 <=> in(sk0_2(relation_restriction(sk0_9,sk0_10)),sk0_10)),
% 0.22/0.45 introduced(split_symbol_definition)).
% 0.22/0.45 fof(f879,plain,(
% 0.22/0.45 ~in(sk0_2(relation_restriction(sk0_9,sk0_10)),sk0_10)|spl0_71),
% 0.22/0.45 inference(component_clause,[status(thm)],[f877])).
% 0.22/0.45 fof(f880,plain,(
% 0.22/0.45 spl0_72 <=> in(ordered_pair(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_2(relation_restriction(sk0_9,sk0_10))),sk0_9)),
% 0.22/0.45 introduced(split_symbol_definition)).
% 0.22/0.45 fof(f882,plain,(
% 0.22/0.45 ~in(ordered_pair(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_2(relation_restriction(sk0_9,sk0_10))),sk0_9)|spl0_72),
% 0.22/0.45 inference(component_clause,[status(thm)],[f880])).
% 0.22/0.45 fof(f883,plain,(
% 0.22/0.45 ~in(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_10)|~in(sk0_2(relation_restriction(sk0_9,sk0_10)),sk0_10)|~relation(sk0_9)|~in(ordered_pair(sk0_1(relation_restriction(sk0_9,sk0_10)),sk0_2(relation_restriction(sk0_9,sk0_10))),sk0_9)|spl0_69),
% 0.22/0.45 inference(resolution,[status(thm)],[f860,f642])).
% 0.22/0.45 fof(f884,plain,(
% 0.22/0.45 ~spl0_70|~spl0_71|~spl0_5|~spl0_72|spl0_69),
% 0.22/0.45 inference(split_clause,[status(thm)],[f883,f874,f877,f289,f880,f858])).
% 0.22/0.45 fof(f890,plain,(
% 0.22/0.45 $false|~spl0_11|spl0_71),
% 0.22/0.45 inference(forward_subsumption_resolution,[status(thm)],[f879,f614])).
% 0.22/0.45 fof(f891,plain,(
% 0.22/0.45 ~spl0_11|spl0_71),
% 0.22/0.45 inference(contradiction_clause,[status(thm)],[f890])).
% 0.22/0.45 fof(f892,plain,(
% 0.22/0.45 $false|~spl0_6|spl0_70),
% 0.22/0.45 inference(forward_subsumption_resolution,[status(thm)],[f876,f613])).
% 0.22/0.45 fof(f893,plain,(
% 0.22/0.45 ~spl0_6|spl0_70),
% 0.22/0.45 inference(contradiction_clause,[status(thm)],[f892])).
% 0.22/0.45 fof(f910,plain,(
% 0.22/0.45 $false|~spl0_20|~spl0_7|spl0_72),
% 0.22/0.45 inference(forward_subsumption_resolution,[status(thm)],[f882,f427])).
% 0.22/0.45 fof(f911,plain,(
% 0.22/0.45 ~spl0_20|~spl0_7|spl0_72),
% 0.22/0.45 inference(contradiction_clause,[status(thm)],[f910])).
% 0.22/0.45 fof(f912,plain,(
% 0.22/0.45 $false),
% 0.22/0.45 inference(sat_refutation,[status(thm)],[f267,f272,f275,f296,f301,f305,f328,f333,f380,f385,f463,f862,f884,f891,f893,f911])).
% 0.22/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.45 % Elapsed time: 0.093875 seconds
% 0.22/0.45 % CPU time: 0.619832 seconds
% 0.22/0.45 % Total memory used: 71.569 MB
% 0.22/0.45 % Net memory used: 71.088 MB
%------------------------------------------------------------------------------