TSTP Solution File: SEU350+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU350+2 : 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 20:42:02 EDT 2024
% Result : Theorem 10.77s 1.82s
% Output : CNFRefutation 10.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU350+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n029.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 20:06:34 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.43 % Drodi V3.6.0
% 10.77/1.82 % Refutation found
% 10.77/1.82 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.77/1.82 % SZS output start CNFRefutation for theBenchmark
% 10.77/1.82 fof(f37,axiom,(
% 10.77/1.82 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 10.77/1.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.77/1.82 fof(f91,axiom,(
% 10.77/1.82 (! [A,B,C] :( C = unordered_pair(A,B)<=> (! [D] :( in(D,C)<=> ( D = A| D = B ) ) )) )),
% 10.77/1.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.77/1.82 fof(f94,axiom,(
% 10.77/1.82 (! [A,B,C] :( C = set_union2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)| in(D,B) ) ) )) )),
% 10.77/1.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.77/1.82 fof(f97,axiom,(
% 10.77/1.82 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> cast_to_el_of_LattPOSet(A,B) = B ) )) )),
% 10.77/1.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.77/1.82 fof(f106,axiom,(
% 10.77/1.82 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(poset_of_lattice(A)))=> cast_to_el_of_lattice(A,B) = B ) )) )),
% 10.77/1.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.77/1.82 fof(f142,axiom,(
% 10.77/1.82 (! [A] :( rel_str(A)=> (! [B,C] :( element(C,the_carrier(A))=> ( relstr_set_smaller(A,B,C)<=> (! [D] :( element(D,the_carrier(A))=> ( in(D,B)=> related(A,D,C) ) ) )) ) )) )),
% 10.77/1.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.77/1.82 fof(f178,axiom,(
% 10.77/1.82 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> ( strict_rel_str(poset_of_lattice(A))& reflexive_relstr(poset_of_lattice(A))& transitive_relstr(poset_of_lattice(A))& antisymmetric_relstr(poset_of_lattice(A))& rel_str(poset_of_lattice(A)) ) ) )),
% 10.77/1.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.77/1.82 fof(f191,axiom,(
% 10.77/1.82 (! [A,B] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A)& element(B,the_carrier(poset_of_lattice(A))) )=> element(cast_to_el_of_lattice(A,B),the_carrier(A)) ) )),
% 10.77/1.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.77/1.82 fof(f231,axiom,(
% 10.77/1.82 (! [A] :(? [B] : element(B,A) ))),
% 10.77/1.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.77/1.82 fof(f372,axiom,(
% 10.77/1.82 (? [A] :( latt_str(A)& ~ empty_carrier(A)& strict_latt_str(A)& join_commutative(A)& join_associative(A)& meet_commutative(A)& meet_associative(A)& meet_absorbing(A)& join_absorbing(A)& lattice(A) ) )),
% 10.77/1.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.77/1.82 fof(f524,lemma,(
% 10.77/1.82 (! [A,B] :( ( ~ empty_carrier(B)& lattice(B)& latt_str(B) )=> (! [C] :( element(C,the_carrier(poset_of_lattice(B)))=> ( relstr_element_smaller(poset_of_lattice(B),A,C)<=> latt_set_smaller(B,cast_to_el_of_lattice(B,C),A) ) ) )) )),
% 10.77/1.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.77/1.82 fof(f532,lemma,(
% 10.77/1.82 (! [A,B] :( ( ~ empty_carrier(B)& lattice(B)& latt_str(B) )=> (! [C] :( element(C,the_carrier(B))=> ( latt_element_smaller(B,C,A)<=> relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)) ) ) )) )),
% 10.77/1.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.77/1.82 fof(f535,conjecture,(
% 10.77/1.82 (! [A,B] :( ( ~ empty_carrier(B)& lattice(B)& latt_str(B) )=> (! [C] :( element(C,the_carrier(poset_of_lattice(B)))=> ( relstr_set_smaller(poset_of_lattice(B),A,C)<=> latt_element_smaller(B,cast_to_el_of_lattice(B,C),A) ) ) )) )),
% 10.77/1.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.77/1.82 fof(f536,negated_conjecture,(
% 10.77/1.82 ~((! [A,B] :( ( ~ empty_carrier(B)& lattice(B)& latt_str(B) )=> (! [C] :( element(C,the_carrier(poset_of_lattice(B)))=> ( relstr_set_smaller(poset_of_lattice(B),A,C)<=> latt_element_smaller(B,cast_to_el_of_lattice(B,C),A) ) ) )) ))),
% 10.77/1.82 inference(negated_conjecture,[status(cth)],[f535])).
% 10.77/1.82 fof(f759,plain,(
% 10.77/1.82 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 10.77/1.82 inference(cnf_transformation,[status(esa)],[f37])).
% 10.77/1.82 fof(f1110,plain,(
% 10.77/1.82 ![A,B,C]: ((~C=unordered_pair(A,B)|(![D]: ((~in(D,C)|(D=A|D=B))&(in(D,C)|(~D=A&~D=B)))))&(C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 10.77/1.82 inference(NNF_transformation,[status(esa)],[f91])).
% 10.77/1.82 fof(f1111,plain,(
% 10.77/1.82 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 10.77/1.83 inference(miniscoping,[status(esa)],[f1110])).
% 10.77/1.83 fof(f1112,plain,(
% 10.77/1.83 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|((~in(sk0_56(C,B,A),C)|(~sk0_56(C,B,A)=A&~sk0_56(C,B,A)=B))&(in(sk0_56(C,B,A),C)|(sk0_56(C,B,A)=A|sk0_56(C,B,A)=B)))))),
% 10.77/1.83 inference(skolemization,[status(esa)],[f1111])).
% 10.77/1.83 fof(f1114,plain,(
% 10.77/1.83 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X1)),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f1112])).
% 10.77/1.83 fof(f1115,plain,(
% 10.77/1.83 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X2)),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f1112])).
% 10.77/1.83 fof(f1134,plain,(
% 10.77/1.83 ![A,B,C]: ((~C=set_union2(A,B)|(![D]: ((~in(D,C)|(in(D,A)|in(D,B)))&(in(D,C)|(~in(D,A)&~in(D,B))))))&(C=set_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 10.77/1.83 inference(NNF_transformation,[status(esa)],[f94])).
% 10.77/1.83 fof(f1135,plain,(
% 10.77/1.83 (![A,B,C]: (~C=set_union2(A,B)|((![D]: (~in(D,C)|(in(D,A)|in(D,B))))&(![D]: (in(D,C)|(~in(D,A)&~in(D,B)))))))&(![A,B,C]: (C=set_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 10.77/1.83 inference(miniscoping,[status(esa)],[f1134])).
% 10.77/1.83 fof(f1136,plain,(
% 10.77/1.83 (![A,B,C]: (~C=set_union2(A,B)|((![D]: (~in(D,C)|(in(D,A)|in(D,B))))&(![D]: (in(D,C)|(~in(D,A)&~in(D,B)))))))&(![A,B,C]: (C=set_union2(A,B)|((~in(sk0_60(C,B,A),C)|(~in(sk0_60(C,B,A),A)&~in(sk0_60(C,B,A),B)))&(in(sk0_60(C,B,A),C)|(in(sk0_60(C,B,A),A)|in(sk0_60(C,B,A),B))))))),
% 10.77/1.83 inference(skolemization,[status(esa)],[f1135])).
% 10.77/1.83 fof(f1138,plain,(
% 10.77/1.83 ![X0,X1,X2,X3]: (~X0=set_union2(X1,X2)|in(X3,X0)|~in(X3,X1))),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f1136])).
% 10.77/1.83 fof(f1163,plain,(
% 10.77/1.83 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|(![B]: (~element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B)))),
% 10.77/1.83 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 10.77/1.83 fof(f1164,plain,(
% 10.77/1.83 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|cast_to_el_of_LattPOSet(X0,X1)=X1)),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f1163])).
% 10.77/1.83 fof(f1219,plain,(
% 10.77/1.83 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|(![B]: (~element(B,the_carrier(poset_of_lattice(A)))|cast_to_el_of_lattice(A,B)=B)))),
% 10.77/1.83 inference(pre_NNF_transformation,[status(esa)],[f106])).
% 10.77/1.83 fof(f1220,plain,(
% 10.77/1.83 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(poset_of_lattice(X0)))|cast_to_el_of_lattice(X0,X1)=X1)),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f1219])).
% 10.77/1.83 fof(f1446,plain,(
% 10.77/1.83 ![A]: (~rel_str(A)|(![B,C]: (~element(C,the_carrier(A))|(relstr_set_smaller(A,B,C)<=>(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,D,C))))))))),
% 10.77/1.83 inference(pre_NNF_transformation,[status(esa)],[f142])).
% 10.77/1.83 fof(f1447,plain,(
% 10.77/1.83 ![A]: (~rel_str(A)|(![B,C]: (~element(C,the_carrier(A))|((~relstr_set_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,D,C)))))&(relstr_set_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(in(D,B)&~related(A,D,C)))))))))),
% 10.77/1.83 inference(NNF_transformation,[status(esa)],[f1446])).
% 10.77/1.83 fof(f1448,plain,(
% 10.77/1.83 ![A]: (~rel_str(A)|(![C]: (~element(C,the_carrier(A))|((![B]: (~relstr_set_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,D,C))))))&(![B]: (relstr_set_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(in(D,B)&~related(A,D,C))))))))))),
% 10.77/1.83 inference(miniscoping,[status(esa)],[f1447])).
% 10.77/1.83 fof(f1449,plain,(
% 10.77/1.83 ![A]: (~rel_str(A)|(![C]: (~element(C,the_carrier(A))|((![B]: (~relstr_set_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,D,C))))))&(![B]: (relstr_set_smaller(A,B,C)|(element(sk0_112(B,C,A),the_carrier(A))&(in(sk0_112(B,C,A),B)&~related(A,sk0_112(B,C,A),C)))))))))),
% 10.77/1.83 inference(skolemization,[status(esa)],[f1448])).
% 10.77/1.83 fof(f1450,plain,(
% 10.77/1.83 ![X0,X1,X2,X3]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~relstr_set_smaller(X0,X2,X1)|~element(X3,the_carrier(X0))|~in(X3,X2)|related(X0,X3,X1))),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f1449])).
% 10.77/1.83 fof(f1501,plain,(
% 10.77/1.83 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|((((strict_rel_str(poset_of_lattice(A))&reflexive_relstr(poset_of_lattice(A)))&transitive_relstr(poset_of_lattice(A)))&antisymmetric_relstr(poset_of_lattice(A)))&rel_str(poset_of_lattice(A))))),
% 10.77/1.83 inference(pre_NNF_transformation,[status(esa)],[f178])).
% 10.77/1.83 fof(f1506,plain,(
% 10.77/1.83 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|rel_str(poset_of_lattice(X0)))),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f1501])).
% 10.77/1.83 fof(f1521,plain,(
% 10.77/1.83 ![A,B]: ((((empty_carrier(A)|~lattice(A))|~latt_str(A))|~element(B,the_carrier(poset_of_lattice(A))))|element(cast_to_el_of_lattice(A,B),the_carrier(A)))),
% 10.77/1.83 inference(pre_NNF_transformation,[status(esa)],[f191])).
% 10.77/1.83 fof(f1522,plain,(
% 10.77/1.83 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(poset_of_lattice(X0)))|element(cast_to_el_of_lattice(X0,X1),the_carrier(X0)))),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f1521])).
% 10.77/1.83 fof(f1597,plain,(
% 10.77/1.83 ![A]: element(sk0_121(A),A)),
% 10.77/1.83 inference(skolemization,[status(esa)],[f231])).
% 10.77/1.83 fof(f1598,plain,(
% 10.77/1.83 ![X0]: (element(sk0_121(X0),X0))),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f1597])).
% 10.77/1.83 fof(f2144,plain,(
% 10.77/1.83 (((((((((latt_str(sk0_169)&~empty_carrier(sk0_169))&strict_latt_str(sk0_169))&join_commutative(sk0_169))&join_associative(sk0_169))&meet_commutative(sk0_169))&meet_associative(sk0_169))&meet_absorbing(sk0_169))&join_absorbing(sk0_169))&lattice(sk0_169))),
% 10.77/1.83 inference(skolemization,[status(esa)],[f372])).
% 10.77/1.83 fof(f2145,plain,(
% 10.77/1.83 latt_str(sk0_169)),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f2144])).
% 10.77/1.83 fof(f2146,plain,(
% 10.77/1.83 ~empty_carrier(sk0_169)),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f2144])).
% 10.77/1.83 fof(f2154,plain,(
% 10.77/1.83 lattice(sk0_169)),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f2144])).
% 10.77/1.83 fof(f2963,plain,(
% 10.77/1.83 ![A,B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(poset_of_lattice(B)))|(relstr_element_smaller(poset_of_lattice(B),A,C)<=>latt_set_smaller(B,cast_to_el_of_lattice(B,C),A)))))),
% 10.77/1.83 inference(pre_NNF_transformation,[status(esa)],[f524])).
% 10.77/1.83 fof(f2964,plain,(
% 10.77/1.83 ![A,B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(poset_of_lattice(B)))|((~relstr_element_smaller(poset_of_lattice(B),A,C)|latt_set_smaller(B,cast_to_el_of_lattice(B,C),A))&(relstr_element_smaller(poset_of_lattice(B),A,C)|~latt_set_smaller(B,cast_to_el_of_lattice(B,C),A))))))),
% 10.77/1.83 inference(NNF_transformation,[status(esa)],[f2963])).
% 10.77/1.83 fof(f2965,plain,(
% 10.77/1.83 ![B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(poset_of_lattice(B)))|((![A]: (~relstr_element_smaller(poset_of_lattice(B),A,C)|latt_set_smaller(B,cast_to_el_of_lattice(B,C),A)))&(![A]: (relstr_element_smaller(poset_of_lattice(B),A,C)|~latt_set_smaller(B,cast_to_el_of_lattice(B,C),A)))))))),
% 10.77/1.83 inference(miniscoping,[status(esa)],[f2964])).
% 10.77/1.83 fof(f2967,plain,(
% 10.77/1.83 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(poset_of_lattice(X0)))|relstr_element_smaller(poset_of_lattice(X0),X2,X1)|~latt_set_smaller(X0,cast_to_el_of_lattice(X0,X1),X2))),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f2965])).
% 10.77/1.83 fof(f2986,plain,(
% 10.77/1.83 ![A,B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(B))|(latt_element_smaller(B,C,A)<=>relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C))))))),
% 10.77/1.83 inference(pre_NNF_transformation,[status(esa)],[f532])).
% 10.77/1.83 fof(f2987,plain,(
% 10.77/1.83 ![A,B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(B))|((~latt_element_smaller(B,C,A)|relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)))&(latt_element_smaller(B,C,A)|~relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)))))))),
% 10.77/1.83 inference(NNF_transformation,[status(esa)],[f2986])).
% 10.77/1.83 fof(f2988,plain,(
% 10.77/1.83 ![B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(B))|((![A]: (~latt_element_smaller(B,C,A)|relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C))))&(![A]: (latt_element_smaller(B,C,A)|~relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C))))))))),
% 10.77/1.83 inference(miniscoping,[status(esa)],[f2987])).
% 10.77/1.83 fof(f2989,plain,(
% 10.77/1.83 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~latt_element_smaller(X0,X1,X2)|relstr_set_smaller(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1)))),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f2988])).
% 10.77/1.83 fof(f2990,plain,(
% 10.77/1.83 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|latt_element_smaller(X0,X1,X2)|~relstr_set_smaller(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1)))),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f2988])).
% 10.77/1.83 fof(f2999,plain,(
% 10.77/1.83 (?[A,B]: (((~empty_carrier(B)&lattice(B))&latt_str(B))&(?[C]: (element(C,the_carrier(poset_of_lattice(B)))&(relstr_set_smaller(poset_of_lattice(B),A,C)<~>latt_element_smaller(B,cast_to_el_of_lattice(B,C),A))))))),
% 10.77/1.83 inference(pre_NNF_transformation,[status(esa)],[f536])).
% 10.77/1.83 fof(f3000,plain,(
% 10.77/1.83 ?[A,B]: (((~empty_carrier(B)&lattice(B))&latt_str(B))&(?[C]: (element(C,the_carrier(poset_of_lattice(B)))&((relstr_set_smaller(poset_of_lattice(B),A,C)|latt_element_smaller(B,cast_to_el_of_lattice(B,C),A))&(~relstr_set_smaller(poset_of_lattice(B),A,C)|~latt_element_smaller(B,cast_to_el_of_lattice(B,C),A))))))),
% 10.77/1.83 inference(NNF_transformation,[status(esa)],[f2999])).
% 10.77/1.83 fof(f3001,plain,(
% 10.77/1.83 ?[B]: (((~empty_carrier(B)&lattice(B))&latt_str(B))&(?[C]: (element(C,the_carrier(poset_of_lattice(B)))&(?[A]: ((relstr_set_smaller(poset_of_lattice(B),A,C)|latt_element_smaller(B,cast_to_el_of_lattice(B,C),A))&(~relstr_set_smaller(poset_of_lattice(B),A,C)|~latt_element_smaller(B,cast_to_el_of_lattice(B,C),A)))))))),
% 10.77/1.83 inference(miniscoping,[status(esa)],[f3000])).
% 10.77/1.83 fof(f3002,plain,(
% 10.77/1.83 (((~empty_carrier(sk0_362)&lattice(sk0_362))&latt_str(sk0_362))&(element(sk0_363,the_carrier(poset_of_lattice(sk0_362)))&((relstr_set_smaller(poset_of_lattice(sk0_362),sk0_364,sk0_363)|latt_element_smaller(sk0_362,cast_to_el_of_lattice(sk0_362,sk0_363),sk0_364))&(~relstr_set_smaller(poset_of_lattice(sk0_362),sk0_364,sk0_363)|~latt_element_smaller(sk0_362,cast_to_el_of_lattice(sk0_362,sk0_363),sk0_364)))))),
% 10.77/1.83 inference(skolemization,[status(esa)],[f3001])).
% 10.77/1.83 fof(f3003,plain,(
% 10.77/1.83 ~empty_carrier(sk0_362)),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f3002])).
% 10.77/1.83 fof(f3004,plain,(
% 10.77/1.83 lattice(sk0_362)),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f3002])).
% 10.77/1.83 fof(f3005,plain,(
% 10.77/1.83 latt_str(sk0_362)),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f3002])).
% 10.77/1.83 fof(f3006,plain,(
% 10.77/1.83 element(sk0_363,the_carrier(poset_of_lattice(sk0_362)))),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f3002])).
% 10.77/1.83 fof(f3007,plain,(
% 10.77/1.83 relstr_set_smaller(poset_of_lattice(sk0_362),sk0_364,sk0_363)|latt_element_smaller(sk0_362,cast_to_el_of_lattice(sk0_362,sk0_363),sk0_364)),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f3002])).
% 10.77/1.83 fof(f3008,plain,(
% 10.77/1.83 ~relstr_set_smaller(poset_of_lattice(sk0_362),sk0_364,sk0_363)|~latt_element_smaller(sk0_362,cast_to_el_of_lattice(sk0_362,sk0_363),sk0_364)),
% 10.77/1.83 inference(cnf_transformation,[status(esa)],[f3002])).
% 10.77/1.83 fof(f3796,plain,(
% 10.77/1.83 spl0_31 <=> relstr_set_smaller(poset_of_lattice(sk0_362),sk0_364,sk0_363)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f3797,plain,(
% 10.77/1.83 relstr_set_smaller(poset_of_lattice(sk0_362),sk0_364,sk0_363)|~spl0_31),
% 10.77/1.83 inference(component_clause,[status(thm)],[f3796])).
% 10.77/1.83 fof(f3799,plain,(
% 10.77/1.83 spl0_32 <=> latt_element_smaller(sk0_362,cast_to_el_of_lattice(sk0_362,sk0_363),sk0_364)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f3800,plain,(
% 10.77/1.83 latt_element_smaller(sk0_362,cast_to_el_of_lattice(sk0_362,sk0_363),sk0_364)|~spl0_32),
% 10.77/1.83 inference(component_clause,[status(thm)],[f3799])).
% 10.77/1.83 fof(f3801,plain,(
% 10.77/1.83 ~latt_element_smaller(sk0_362,cast_to_el_of_lattice(sk0_362,sk0_363),sk0_364)|spl0_32),
% 10.77/1.83 inference(component_clause,[status(thm)],[f3799])).
% 10.77/1.83 fof(f3802,plain,(
% 10.77/1.83 spl0_31|spl0_32),
% 10.77/1.83 inference(split_clause,[status(thm)],[f3007,f3796,f3799])).
% 10.77/1.83 fof(f3803,plain,(
% 10.77/1.83 ~spl0_31|~spl0_32),
% 10.77/1.83 inference(split_clause,[status(thm)],[f3008,f3796,f3799])).
% 10.77/1.83 fof(f3948,plain,(
% 10.77/1.83 ![X0,X1]: (in(X0,unordered_pair(X0,X1)))),
% 10.77/1.83 inference(destructive_equality_resolution,[status(esa)],[f1114])).
% 10.77/1.83 fof(f3949,plain,(
% 10.77/1.83 ![X0,X1]: (in(X0,unordered_pair(X1,X0)))),
% 10.77/1.83 inference(destructive_equality_resolution,[status(esa)],[f1115])).
% 10.77/1.83 fof(f3951,plain,(
% 10.77/1.83 ![X0,X1,X2]: (in(X0,set_union2(X1,X2))|~in(X0,X1))),
% 10.77/1.83 inference(destructive_equality_resolution,[status(esa)],[f1138])).
% 10.77/1.83 fof(f4248,plain,(
% 10.77/1.83 spl0_54 <=> empty_carrier(sk0_362)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4249,plain,(
% 10.77/1.83 empty_carrier(sk0_362)|~spl0_54),
% 10.77/1.83 inference(component_clause,[status(thm)],[f4248])).
% 10.77/1.83 fof(f4251,plain,(
% 10.77/1.83 spl0_55 <=> latt_str(sk0_362)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4253,plain,(
% 10.77/1.83 ~latt_str(sk0_362)|spl0_55),
% 10.77/1.83 inference(component_clause,[status(thm)],[f4251])).
% 10.77/1.83 fof(f4254,plain,(
% 10.77/1.83 spl0_56 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_362)))|cast_to_el_of_lattice(sk0_362,X0)=X0),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4255,plain,(
% 10.77/1.83 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_362)))|cast_to_el_of_lattice(sk0_362,X0)=X0|~spl0_56)),
% 10.77/1.83 inference(component_clause,[status(thm)],[f4254])).
% 10.77/1.83 fof(f4257,plain,(
% 10.77/1.83 ![X0]: (empty_carrier(sk0_362)|~latt_str(sk0_362)|~element(X0,the_carrier(poset_of_lattice(sk0_362)))|cast_to_el_of_lattice(sk0_362,X0)=X0)),
% 10.77/1.83 inference(resolution,[status(thm)],[f1220,f3004])).
% 10.77/1.83 fof(f4258,plain,(
% 10.77/1.83 spl0_54|~spl0_55|spl0_56),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4257,f4248,f4251,f4254])).
% 10.77/1.83 fof(f4259,plain,(
% 10.77/1.83 $false|spl0_55),
% 10.77/1.83 inference(forward_subsumption_resolution,[status(thm)],[f4253,f3005])).
% 10.77/1.83 fof(f4260,plain,(
% 10.77/1.83 spl0_55),
% 10.77/1.83 inference(contradiction_clause,[status(thm)],[f4259])).
% 10.77/1.83 fof(f4261,plain,(
% 10.77/1.83 $false|~spl0_54),
% 10.77/1.83 inference(forward_subsumption_resolution,[status(thm)],[f4249,f3003])).
% 10.77/1.83 fof(f4262,plain,(
% 10.77/1.83 ~spl0_54),
% 10.77/1.83 inference(contradiction_clause,[status(thm)],[f4261])).
% 10.77/1.83 fof(f4263,plain,(
% 10.77/1.83 cast_to_el_of_lattice(sk0_362,sk0_363)=sk0_363|~spl0_56),
% 10.77/1.83 inference(resolution,[status(thm)],[f4255,f3006])).
% 10.77/1.83 fof(f4264,plain,(
% 10.77/1.83 ~latt_element_smaller(sk0_362,sk0_363,sk0_364)|~spl0_56|spl0_32),
% 10.77/1.83 inference(backward_demodulation,[status(thm)],[f4263,f3801])).
% 10.77/1.83 fof(f4265,plain,(
% 10.77/1.83 spl0_57 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_362)))|element(cast_to_el_of_lattice(sk0_362,X0),the_carrier(sk0_362))),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4266,plain,(
% 10.77/1.83 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_362)))|element(cast_to_el_of_lattice(sk0_362,X0),the_carrier(sk0_362))|~spl0_57)),
% 10.77/1.83 inference(component_clause,[status(thm)],[f4265])).
% 10.77/1.83 fof(f4268,plain,(
% 10.77/1.83 ![X0]: (empty_carrier(sk0_362)|~latt_str(sk0_362)|~element(X0,the_carrier(poset_of_lattice(sk0_362)))|element(cast_to_el_of_lattice(sk0_362,X0),the_carrier(sk0_362)))),
% 10.77/1.83 inference(resolution,[status(thm)],[f1522,f3004])).
% 10.77/1.83 fof(f4269,plain,(
% 10.77/1.83 spl0_54|~spl0_55|spl0_57),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4268,f4248,f4251,f4265])).
% 10.77/1.83 fof(f4270,plain,(
% 10.77/1.83 spl0_58 <=> element(sk0_363,the_carrier(poset_of_lattice(sk0_362)))),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4272,plain,(
% 10.77/1.83 ~element(sk0_363,the_carrier(poset_of_lattice(sk0_362)))|spl0_58),
% 10.77/1.83 inference(component_clause,[status(thm)],[f4270])).
% 10.77/1.83 fof(f4273,plain,(
% 10.77/1.83 spl0_59 <=> element(sk0_363,the_carrier(sk0_362))),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4274,plain,(
% 10.77/1.83 element(sk0_363,the_carrier(sk0_362))|~spl0_59),
% 10.77/1.83 inference(component_clause,[status(thm)],[f4273])).
% 10.77/1.83 fof(f4276,plain,(
% 10.77/1.83 ~element(sk0_363,the_carrier(poset_of_lattice(sk0_362)))|element(sk0_363,the_carrier(sk0_362))|~spl0_57|~spl0_56),
% 10.77/1.83 inference(paramodulation,[status(thm)],[f4263,f4266])).
% 10.77/1.83 fof(f4277,plain,(
% 10.77/1.83 ~spl0_58|spl0_59|~spl0_57|~spl0_56),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4276,f4270,f4273,f4265,f4254])).
% 10.77/1.83 fof(f4278,plain,(
% 10.77/1.83 $false|spl0_58),
% 10.77/1.83 inference(forward_subsumption_resolution,[status(thm)],[f4272,f3006])).
% 10.77/1.83 fof(f4279,plain,(
% 10.77/1.83 spl0_58),
% 10.77/1.83 inference(contradiction_clause,[status(thm)],[f4278])).
% 10.77/1.83 fof(f4280,plain,(
% 10.77/1.83 spl0_60 <=> ~element(X0,the_carrier(sk0_362))|latt_element_smaller(sk0_362,X0,X1)|~relstr_set_smaller(poset_of_lattice(sk0_362),X1,cast_to_el_of_LattPOSet(sk0_362,X0))),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4281,plain,(
% 10.77/1.83 ![X0,X1]: (~element(X0,the_carrier(sk0_362))|latt_element_smaller(sk0_362,X0,X1)|~relstr_set_smaller(poset_of_lattice(sk0_362),X1,cast_to_el_of_LattPOSet(sk0_362,X0))|~spl0_60)),
% 10.77/1.83 inference(component_clause,[status(thm)],[f4280])).
% 10.77/1.83 fof(f4283,plain,(
% 10.77/1.83 ![X0,X1]: (empty_carrier(sk0_362)|~latt_str(sk0_362)|~element(X0,the_carrier(sk0_362))|latt_element_smaller(sk0_362,X0,X1)|~relstr_set_smaller(poset_of_lattice(sk0_362),X1,cast_to_el_of_LattPOSet(sk0_362,X0)))),
% 10.77/1.83 inference(resolution,[status(thm)],[f2990,f3004])).
% 10.77/1.83 fof(f4284,plain,(
% 10.77/1.83 spl0_54|~spl0_55|spl0_60),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4283,f4248,f4251,f4280])).
% 10.77/1.83 fof(f4285,plain,(
% 10.77/1.83 spl0_61 <=> ~element(X0,the_carrier(sk0_362))|latt_element_smaller(sk0_362,X0,X1)|~element(X0,the_carrier(sk0_362))|~latt_element_smaller(sk0_362,X0,X1)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4288,plain,(
% 10.77/1.83 spl0_62 <=> lattice(sk0_362)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4290,plain,(
% 10.77/1.83 ~lattice(sk0_362)|spl0_62),
% 10.77/1.83 inference(component_clause,[status(thm)],[f4288])).
% 10.77/1.83 fof(f4291,plain,(
% 10.77/1.83 ![X0,X1]: (~element(X0,the_carrier(sk0_362))|latt_element_smaller(sk0_362,X0,X1)|empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362)|~element(X0,the_carrier(sk0_362))|~latt_element_smaller(sk0_362,X0,X1)|~spl0_60)),
% 10.77/1.83 inference(resolution,[status(thm)],[f4281,f2989])).
% 10.77/1.83 fof(f4292,plain,(
% 10.77/1.83 spl0_61|spl0_54|~spl0_62|~spl0_55|~spl0_60),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4291,f4285,f4248,f4288,f4251,f4280])).
% 10.77/1.83 fof(f4293,plain,(
% 10.77/1.83 $false|spl0_62),
% 10.77/1.83 inference(forward_subsumption_resolution,[status(thm)],[f4290,f3004])).
% 10.77/1.83 fof(f4294,plain,(
% 10.77/1.83 spl0_62),
% 10.77/1.83 inference(contradiction_clause,[status(thm)],[f4293])).
% 10.77/1.83 fof(f4295,plain,(
% 10.77/1.83 spl0_63 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_362)))|relstr_element_smaller(poset_of_lattice(sk0_362),X1,X0)|~latt_set_smaller(sk0_362,cast_to_el_of_lattice(sk0_362,X0),X1)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4298,plain,(
% 10.77/1.83 ![X0,X1]: (empty_carrier(sk0_362)|~latt_str(sk0_362)|~element(X0,the_carrier(poset_of_lattice(sk0_362)))|relstr_element_smaller(poset_of_lattice(sk0_362),X1,X0)|~latt_set_smaller(sk0_362,cast_to_el_of_lattice(sk0_362,X0),X1))),
% 10.77/1.83 inference(resolution,[status(thm)],[f2967,f3004])).
% 10.77/1.83 fof(f4299,plain,(
% 10.77/1.83 spl0_54|~spl0_55|spl0_63),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4298,f4248,f4251,f4295])).
% 10.77/1.83 fof(f4302,plain,(
% 10.77/1.83 spl0_64 <=> empty_carrier(sk0_169)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4303,plain,(
% 10.77/1.83 empty_carrier(sk0_169)|~spl0_64),
% 10.77/1.83 inference(component_clause,[status(thm)],[f4302])).
% 10.77/1.83 fof(f4305,plain,(
% 10.77/1.83 spl0_65 <=> latt_str(sk0_169)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4307,plain,(
% 10.77/1.83 ~latt_str(sk0_169)|spl0_65),
% 10.77/1.83 inference(component_clause,[status(thm)],[f4305])).
% 10.77/1.83 fof(f4308,plain,(
% 10.77/1.83 spl0_66 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_169)))|relstr_element_smaller(poset_of_lattice(sk0_169),X1,X0)|~latt_set_smaller(sk0_169,cast_to_el_of_lattice(sk0_169,X0),X1)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4311,plain,(
% 10.77/1.83 ![X0,X1]: (empty_carrier(sk0_169)|~latt_str(sk0_169)|~element(X0,the_carrier(poset_of_lattice(sk0_169)))|relstr_element_smaller(poset_of_lattice(sk0_169),X1,X0)|~latt_set_smaller(sk0_169,cast_to_el_of_lattice(sk0_169,X0),X1))),
% 10.77/1.83 inference(resolution,[status(thm)],[f2154,f2967])).
% 10.77/1.83 fof(f4312,plain,(
% 10.77/1.83 spl0_64|~spl0_65|spl0_66),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4311,f4302,f4305,f4308])).
% 10.77/1.83 fof(f4313,plain,(
% 10.77/1.83 spl0_67 <=> ~element(X0,the_carrier(sk0_169))|latt_element_smaller(sk0_169,X0,X1)|~relstr_set_smaller(poset_of_lattice(sk0_169),X1,cast_to_el_of_LattPOSet(sk0_169,X0))),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4314,plain,(
% 10.77/1.83 ![X0,X1]: (~element(X0,the_carrier(sk0_169))|latt_element_smaller(sk0_169,X0,X1)|~relstr_set_smaller(poset_of_lattice(sk0_169),X1,cast_to_el_of_LattPOSet(sk0_169,X0))|~spl0_67)),
% 10.77/1.83 inference(component_clause,[status(thm)],[f4313])).
% 10.77/1.83 fof(f4316,plain,(
% 10.77/1.83 ![X0,X1]: (empty_carrier(sk0_169)|~latt_str(sk0_169)|~element(X0,the_carrier(sk0_169))|latt_element_smaller(sk0_169,X0,X1)|~relstr_set_smaller(poset_of_lattice(sk0_169),X1,cast_to_el_of_LattPOSet(sk0_169,X0)))),
% 10.77/1.83 inference(resolution,[status(thm)],[f2154,f2990])).
% 10.77/1.83 fof(f4317,plain,(
% 10.77/1.83 spl0_64|~spl0_65|spl0_67),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4316,f4302,f4305,f4313])).
% 10.77/1.83 fof(f4318,plain,(
% 10.77/1.83 spl0_68 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_169)))|element(cast_to_el_of_lattice(sk0_169,X0),the_carrier(sk0_169))),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4319,plain,(
% 10.77/1.83 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_169)))|element(cast_to_el_of_lattice(sk0_169,X0),the_carrier(sk0_169))|~spl0_68)),
% 10.77/1.83 inference(component_clause,[status(thm)],[f4318])).
% 10.77/1.83 fof(f4321,plain,(
% 10.77/1.83 ![X0]: (empty_carrier(sk0_169)|~latt_str(sk0_169)|~element(X0,the_carrier(poset_of_lattice(sk0_169)))|element(cast_to_el_of_lattice(sk0_169,X0),the_carrier(sk0_169)))),
% 10.77/1.83 inference(resolution,[status(thm)],[f2154,f1522])).
% 10.77/1.83 fof(f4322,plain,(
% 10.77/1.83 spl0_64|~spl0_65|spl0_68),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4321,f4302,f4305,f4318])).
% 10.77/1.83 fof(f4323,plain,(
% 10.77/1.83 spl0_69 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_169)))|cast_to_el_of_lattice(sk0_169,X0)=X0),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4324,plain,(
% 10.77/1.83 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_169)))|cast_to_el_of_lattice(sk0_169,X0)=X0|~spl0_69)),
% 10.77/1.83 inference(component_clause,[status(thm)],[f4323])).
% 10.77/1.83 fof(f4326,plain,(
% 10.77/1.83 ![X0]: (empty_carrier(sk0_169)|~latt_str(sk0_169)|~element(X0,the_carrier(poset_of_lattice(sk0_169)))|cast_to_el_of_lattice(sk0_169,X0)=X0)),
% 10.77/1.83 inference(resolution,[status(thm)],[f2154,f1220])).
% 10.77/1.83 fof(f4327,plain,(
% 10.77/1.83 spl0_64|~spl0_65|spl0_69),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4326,f4302,f4305,f4323])).
% 10.77/1.83 fof(f4328,plain,(
% 10.77/1.83 $false|spl0_65),
% 10.77/1.83 inference(forward_subsumption_resolution,[status(thm)],[f4307,f2145])).
% 10.77/1.83 fof(f4329,plain,(
% 10.77/1.83 spl0_65),
% 10.77/1.83 inference(contradiction_clause,[status(thm)],[f4328])).
% 10.77/1.83 fof(f4330,plain,(
% 10.77/1.83 $false|~spl0_64),
% 10.77/1.83 inference(forward_subsumption_resolution,[status(thm)],[f4303,f2146])).
% 10.77/1.83 fof(f4331,plain,(
% 10.77/1.83 ~spl0_64),
% 10.77/1.83 inference(contradiction_clause,[status(thm)],[f4330])).
% 10.77/1.83 fof(f4332,plain,(
% 10.77/1.83 ![X0,X1]: (latt_element_smaller(sk0_169,cast_to_el_of_lattice(sk0_169,X0),X1)|~relstr_set_smaller(poset_of_lattice(sk0_169),X1,cast_to_el_of_LattPOSet(sk0_169,cast_to_el_of_lattice(sk0_169,X0)))|~element(X0,the_carrier(poset_of_lattice(sk0_169)))|~spl0_67|~spl0_68)),
% 10.77/1.83 inference(resolution,[status(thm)],[f4314,f4319])).
% 10.77/1.83 fof(f4349,plain,(
% 10.77/1.83 ![X0]: (latt_element_smaller(sk0_169,sk0_121(the_carrier(sk0_169)),X0)|~relstr_set_smaller(poset_of_lattice(sk0_169),X0,cast_to_el_of_LattPOSet(sk0_169,sk0_121(the_carrier(sk0_169))))|~spl0_67)),
% 10.77/1.83 inference(resolution,[status(thm)],[f1598,f4314])).
% 10.77/1.83 fof(f4356,plain,(
% 10.77/1.83 ![X0]: (latt_element_smaller(sk0_169,cast_to_el_of_lattice(sk0_169,sk0_121(the_carrier(poset_of_lattice(sk0_169)))),X0)|~relstr_set_smaller(poset_of_lattice(sk0_169),X0,cast_to_el_of_LattPOSet(sk0_169,cast_to_el_of_lattice(sk0_169,sk0_121(the_carrier(poset_of_lattice(sk0_169))))))|~spl0_67|~spl0_68)),
% 10.77/1.83 inference(resolution,[status(thm)],[f1598,f4332])).
% 10.77/1.83 fof(f4358,plain,(
% 10.77/1.83 cast_to_el_of_lattice(sk0_169,sk0_121(the_carrier(poset_of_lattice(sk0_169))))=sk0_121(the_carrier(poset_of_lattice(sk0_169)))|~spl0_69),
% 10.77/1.83 inference(resolution,[status(thm)],[f1598,f4324])).
% 10.77/1.83 fof(f4360,plain,(
% 10.77/1.83 cast_to_el_of_lattice(sk0_362,sk0_121(the_carrier(poset_of_lattice(sk0_362))))=sk0_121(the_carrier(poset_of_lattice(sk0_362)))|~spl0_56),
% 10.77/1.83 inference(resolution,[status(thm)],[f1598,f4255])).
% 10.77/1.83 fof(f4368,plain,(
% 10.77/1.83 ![X0]: (latt_element_smaller(sk0_169,cast_to_el_of_lattice(sk0_169,sk0_121(the_carrier(poset_of_lattice(sk0_169)))),X0)|~relstr_set_smaller(poset_of_lattice(sk0_169),X0,cast_to_el_of_LattPOSet(sk0_169,sk0_121(the_carrier(poset_of_lattice(sk0_169)))))|~spl0_69|~spl0_67|~spl0_68)),
% 10.77/1.83 inference(backward_demodulation,[status(thm)],[f4358,f4356])).
% 10.77/1.83 fof(f4369,plain,(
% 10.77/1.83 ![X0]: (latt_element_smaller(sk0_169,sk0_121(the_carrier(poset_of_lattice(sk0_169))),X0)|~relstr_set_smaller(poset_of_lattice(sk0_169),X0,cast_to_el_of_LattPOSet(sk0_169,sk0_121(the_carrier(poset_of_lattice(sk0_169)))))|~spl0_69|~spl0_67|~spl0_68)),
% 10.77/1.83 inference(forward_demodulation,[status(thm)],[f4358,f4368])).
% 10.77/1.83 fof(f4375,plain,(
% 10.77/1.83 spl0_70 <=> element(sk0_121(the_carrier(poset_of_lattice(sk0_169))),the_carrier(poset_of_lattice(sk0_169)))),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4377,plain,(
% 10.77/1.83 ~element(sk0_121(the_carrier(poset_of_lattice(sk0_169))),the_carrier(poset_of_lattice(sk0_169)))|spl0_70),
% 10.77/1.83 inference(component_clause,[status(thm)],[f4375])).
% 10.77/1.83 fof(f4378,plain,(
% 10.77/1.83 spl0_71 <=> element(sk0_121(the_carrier(poset_of_lattice(sk0_169))),the_carrier(sk0_169))),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4381,plain,(
% 10.77/1.83 ~element(sk0_121(the_carrier(poset_of_lattice(sk0_169))),the_carrier(poset_of_lattice(sk0_169)))|element(sk0_121(the_carrier(poset_of_lattice(sk0_169))),the_carrier(sk0_169))|~spl0_68|~spl0_69),
% 10.77/1.83 inference(paramodulation,[status(thm)],[f4358,f4319])).
% 10.77/1.83 fof(f4382,plain,(
% 10.77/1.83 ~spl0_70|spl0_71|~spl0_68|~spl0_69),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4381,f4375,f4378,f4318,f4323])).
% 10.77/1.83 fof(f4383,plain,(
% 10.77/1.83 $false|spl0_70),
% 10.77/1.83 inference(forward_subsumption_resolution,[status(thm)],[f4377,f1598])).
% 10.77/1.83 fof(f4384,plain,(
% 10.77/1.83 spl0_70),
% 10.77/1.83 inference(contradiction_clause,[status(thm)],[f4383])).
% 10.77/1.83 fof(f4385,plain,(
% 10.77/1.83 spl0_72 <=> element(sk0_121(the_carrier(poset_of_lattice(sk0_362))),the_carrier(poset_of_lattice(sk0_362)))),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4387,plain,(
% 10.77/1.83 ~element(sk0_121(the_carrier(poset_of_lattice(sk0_362))),the_carrier(poset_of_lattice(sk0_362)))|spl0_72),
% 10.77/1.83 inference(component_clause,[status(thm)],[f4385])).
% 10.77/1.83 fof(f4388,plain,(
% 10.77/1.83 spl0_73 <=> element(sk0_121(the_carrier(poset_of_lattice(sk0_362))),the_carrier(sk0_362))),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4391,plain,(
% 10.77/1.83 ~element(sk0_121(the_carrier(poset_of_lattice(sk0_362))),the_carrier(poset_of_lattice(sk0_362)))|element(sk0_121(the_carrier(poset_of_lattice(sk0_362))),the_carrier(sk0_362))|~spl0_57|~spl0_56),
% 10.77/1.83 inference(paramodulation,[status(thm)],[f4360,f4266])).
% 10.77/1.83 fof(f4392,plain,(
% 10.77/1.83 ~spl0_72|spl0_73|~spl0_57|~spl0_56),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4391,f4385,f4388,f4265,f4254])).
% 10.77/1.83 fof(f4393,plain,(
% 10.77/1.83 $false|spl0_72),
% 10.77/1.83 inference(forward_subsumption_resolution,[status(thm)],[f4387,f1598])).
% 10.77/1.83 fof(f4394,plain,(
% 10.77/1.83 spl0_72),
% 10.77/1.83 inference(contradiction_clause,[status(thm)],[f4393])).
% 10.77/1.83 fof(f4395,plain,(
% 10.77/1.83 spl0_74 <=> latt_element_smaller(sk0_169,sk0_121(the_carrier(sk0_169)),X0)|~latt_element_smaller(sk0_169,sk0_121(the_carrier(sk0_169)),X0)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4398,plain,(
% 10.77/1.83 spl0_75 <=> lattice(sk0_169)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4400,plain,(
% 10.77/1.83 ~lattice(sk0_169)|spl0_75),
% 10.77/1.83 inference(component_clause,[status(thm)],[f4398])).
% 10.77/1.83 fof(f4401,plain,(
% 10.77/1.83 spl0_76 <=> element(sk0_121(the_carrier(sk0_169)),the_carrier(sk0_169))),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4403,plain,(
% 10.77/1.83 ~element(sk0_121(the_carrier(sk0_169)),the_carrier(sk0_169))|spl0_76),
% 10.77/1.83 inference(component_clause,[status(thm)],[f4401])).
% 10.77/1.83 fof(f4404,plain,(
% 10.77/1.83 ![X0]: (latt_element_smaller(sk0_169,sk0_121(the_carrier(sk0_169)),X0)|empty_carrier(sk0_169)|~lattice(sk0_169)|~latt_str(sk0_169)|~element(sk0_121(the_carrier(sk0_169)),the_carrier(sk0_169))|~latt_element_smaller(sk0_169,sk0_121(the_carrier(sk0_169)),X0)|~spl0_67)),
% 10.77/1.83 inference(resolution,[status(thm)],[f4349,f2989])).
% 10.77/1.83 fof(f4405,plain,(
% 10.77/1.83 spl0_74|spl0_64|~spl0_75|~spl0_65|~spl0_76|~spl0_67),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4404,f4395,f4302,f4398,f4305,f4401,f4313])).
% 10.77/1.83 fof(f4406,plain,(
% 10.77/1.83 $false|spl0_76),
% 10.77/1.83 inference(forward_subsumption_resolution,[status(thm)],[f4403,f1598])).
% 10.77/1.83 fof(f4407,plain,(
% 10.77/1.83 spl0_76),
% 10.77/1.83 inference(contradiction_clause,[status(thm)],[f4406])).
% 10.77/1.83 fof(f4408,plain,(
% 10.77/1.83 $false|spl0_75),
% 10.77/1.83 inference(forward_subsumption_resolution,[status(thm)],[f4400,f2154])).
% 10.77/1.83 fof(f4409,plain,(
% 10.77/1.83 spl0_75),
% 10.77/1.83 inference(contradiction_clause,[status(thm)],[f4408])).
% 10.77/1.83 fof(f4410,plain,(
% 10.77/1.83 spl0_77 <=> latt_element_smaller(sk0_169,sk0_121(the_carrier(poset_of_lattice(sk0_169))),X0)|~latt_element_smaller(sk0_169,sk0_121(the_carrier(poset_of_lattice(sk0_169))),X0)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4413,plain,(
% 10.77/1.83 ![X0]: (latt_element_smaller(sk0_169,sk0_121(the_carrier(poset_of_lattice(sk0_169))),X0)|empty_carrier(sk0_169)|~lattice(sk0_169)|~latt_str(sk0_169)|~element(sk0_121(the_carrier(poset_of_lattice(sk0_169))),the_carrier(sk0_169))|~latt_element_smaller(sk0_169,sk0_121(the_carrier(poset_of_lattice(sk0_169))),X0)|~spl0_69|~spl0_67|~spl0_68)),
% 10.77/1.83 inference(resolution,[status(thm)],[f4369,f2989])).
% 10.77/1.83 fof(f4414,plain,(
% 10.77/1.83 spl0_77|spl0_64|~spl0_75|~spl0_65|~spl0_71|~spl0_69|~spl0_67|~spl0_68),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4413,f4410,f4302,f4398,f4305,f4378,f4323,f4313,f4318])).
% 10.77/1.83 fof(f4417,plain,(
% 10.77/1.83 ![X0,X1,X2,X3]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~relstr_set_smaller(X0,unordered_pair(X2,X3),X1)|~element(X2,the_carrier(X0))|related(X0,X2,X1))),
% 10.77/1.83 inference(resolution,[status(thm)],[f3948,f1450])).
% 10.77/1.83 fof(f4421,plain,(
% 10.77/1.83 ![X0,X1,X2,X3]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~relstr_set_smaller(X0,unordered_pair(X2,X3),X1)|~element(X3,the_carrier(X0))|related(X0,X3,X1))),
% 10.77/1.83 inference(resolution,[status(thm)],[f3949,f1450])).
% 10.77/1.83 fof(f4450,plain,(
% 10.77/1.83 ![X0,X1,X2]: (in(X0,set_union2(unordered_pair(X1,X0),X2)))),
% 10.77/1.83 inference(resolution,[status(thm)],[f3951,f3949])).
% 10.77/1.83 fof(f4451,plain,(
% 10.77/1.83 ![X0,X1,X2]: (in(X0,set_union2(unordered_pair(X0,X1),X2)))),
% 10.77/1.83 inference(resolution,[status(thm)],[f3951,f3948])).
% 10.77/1.83 fof(f4455,plain,(
% 10.77/1.83 ![X0,X1,X2,X3,X4]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~relstr_set_smaller(X0,set_union2(unordered_pair(X2,X3),X4),X1)|~element(X3,the_carrier(X0))|related(X0,X3,X1))),
% 10.77/1.83 inference(resolution,[status(thm)],[f4450,f1450])).
% 10.77/1.83 fof(f4457,plain,(
% 10.77/1.83 ![X0,X1,X2]: (in(X0,set_union2(X1,unordered_pair(X2,X0))))),
% 10.77/1.83 inference(paramodulation,[status(thm)],[f759,f4450])).
% 10.77/1.83 fof(f4464,plain,(
% 10.77/1.83 ![X0,X1,X2,X3,X4]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~relstr_set_smaller(X0,set_union2(unordered_pair(X2,X3),X4),X1)|~element(X2,the_carrier(X0))|related(X0,X2,X1))),
% 10.77/1.83 inference(resolution,[status(thm)],[f4451,f1450])).
% 10.77/1.83 fof(f4466,plain,(
% 10.77/1.83 ![X0,X1,X2]: (in(X0,set_union2(X1,unordered_pair(X0,X2))))),
% 10.77/1.83 inference(paramodulation,[status(thm)],[f759,f4451])).
% 10.77/1.83 fof(f4477,plain,(
% 10.77/1.83 ![X0,X1,X2,X3,X4]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~relstr_set_smaller(X0,set_union2(X2,unordered_pair(X3,X4)),X1)|~element(X4,the_carrier(X0))|related(X0,X4,X1))),
% 10.77/1.83 inference(resolution,[status(thm)],[f4457,f1450])).
% 10.77/1.83 fof(f4490,plain,(
% 10.77/1.83 ![X0,X1,X2,X3,X4]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~relstr_set_smaller(X0,set_union2(X2,unordered_pair(X3,X4)),X1)|~element(X3,the_carrier(X0))|related(X0,X3,X1))),
% 10.77/1.83 inference(resolution,[status(thm)],[f4466,f1450])).
% 10.77/1.83 fof(f4539,plain,(
% 10.77/1.83 ![X0,X1,X2,X3]: (~rel_str(poset_of_lattice(X0))|~element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0)))|~element(X2,the_carrier(poset_of_lattice(X0)))|related(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1))|empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~latt_element_smaller(X0,X1,unordered_pair(X2,X3)))),
% 10.77/1.83 inference(resolution,[status(thm)],[f4417,f2989])).
% 10.77/1.83 fof(f4540,plain,(
% 10.77/1.83 ![X0,X1,X2,X3]: (~element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0)))|~element(X2,the_carrier(poset_of_lattice(X0)))|related(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1))|empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~latt_element_smaller(X0,X1,unordered_pair(X2,X3)))),
% 10.77/1.83 inference(forward_subsumption_resolution,[status(thm)],[f4539,f1506])).
% 10.77/1.83 fof(f4543,plain,(
% 10.77/1.83 ![X0,X1,X2,X3]: (~rel_str(poset_of_lattice(X0))|~element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0)))|~element(X2,the_carrier(poset_of_lattice(X0)))|related(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1))|empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~latt_element_smaller(X0,X1,unordered_pair(X3,X2)))),
% 10.77/1.83 inference(resolution,[status(thm)],[f4421,f2989])).
% 10.77/1.83 fof(f4544,plain,(
% 10.77/1.83 ![X0,X1,X2,X3]: (~element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0)))|~element(X2,the_carrier(poset_of_lattice(X0)))|related(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1))|empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~latt_element_smaller(X0,X1,unordered_pair(X3,X2)))),
% 10.77/1.83 inference(forward_subsumption_resolution,[status(thm)],[f4543,f1506])).
% 10.77/1.83 fof(f4554,plain,(
% 10.77/1.83 ![X0,X1,X2,X3,X4]: (~element(X0,the_carrier(poset_of_lattice(X1)))|~relstr_set_smaller(poset_of_lattice(X1),set_union2(unordered_pair(X2,X3),X4),X0)|~element(X3,the_carrier(poset_of_lattice(X1)))|related(poset_of_lattice(X1),X3,X0)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))),
% 10.77/1.83 inference(resolution,[status(thm)],[f4455,f1506])).
% 10.77/1.83 fof(f4558,plain,(
% 10.77/1.83 ![X0,X1,X2,X3,X4]: (~element(X0,the_carrier(poset_of_lattice(X1)))|~relstr_set_smaller(poset_of_lattice(X1),set_union2(unordered_pair(X2,X3),X4),X0)|~element(X2,the_carrier(poset_of_lattice(X1)))|related(poset_of_lattice(X1),X2,X0)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))),
% 10.77/1.83 inference(resolution,[status(thm)],[f4464,f1506])).
% 10.77/1.83 fof(f4562,plain,(
% 10.77/1.83 ![X0,X1,X2,X3,X4]: (~element(X0,the_carrier(poset_of_lattice(X1)))|~relstr_set_smaller(poset_of_lattice(X1),set_union2(X2,unordered_pair(X3,X4)),X0)|~element(X4,the_carrier(poset_of_lattice(X1)))|related(poset_of_lattice(X1),X4,X0)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))),
% 10.77/1.83 inference(resolution,[status(thm)],[f4477,f1506])).
% 10.77/1.83 fof(f4566,plain,(
% 10.77/1.83 ![X0,X1,X2,X3,X4]: (~element(X0,the_carrier(poset_of_lattice(X1)))|~relstr_set_smaller(poset_of_lattice(X1),set_union2(X2,unordered_pair(X3,X4)),X0)|~element(X3,the_carrier(poset_of_lattice(X1)))|related(poset_of_lattice(X1),X3,X0)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))),
% 10.77/1.83 inference(resolution,[status(thm)],[f4490,f1506])).
% 10.77/1.83 fof(f4589,plain,(
% 10.77/1.83 spl0_78 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_362)))|~relstr_set_smaller(poset_of_lattice(sk0_362),set_union2(unordered_pair(X1,sk0_363),X2),X0)|related(poset_of_lattice(sk0_362),sk0_363,X0)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4592,plain,(
% 10.77/1.83 ![X0,X1,X2]: (~element(X0,the_carrier(poset_of_lattice(sk0_362)))|~relstr_set_smaller(poset_of_lattice(sk0_362),set_union2(unordered_pair(X1,sk0_363),X2),X0)|related(poset_of_lattice(sk0_362),sk0_363,X0)|empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362))),
% 10.77/1.83 inference(resolution,[status(thm)],[f4554,f3006])).
% 10.77/1.83 fof(f4593,plain,(
% 10.77/1.83 spl0_78|spl0_54|~spl0_62|~spl0_55),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4592,f4589,f4248,f4288,f4251])).
% 10.77/1.83 fof(f4667,plain,(
% 10.77/1.83 spl0_85 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_362)))|~relstr_set_smaller(poset_of_lattice(sk0_362),set_union2(unordered_pair(sk0_363,X1),X2),X0)|related(poset_of_lattice(sk0_362),sk0_363,X0)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4670,plain,(
% 10.77/1.83 ![X0,X1,X2]: (~element(X0,the_carrier(poset_of_lattice(sk0_362)))|~relstr_set_smaller(poset_of_lattice(sk0_362),set_union2(unordered_pair(sk0_363,X1),X2),X0)|related(poset_of_lattice(sk0_362),sk0_363,X0)|empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362))),
% 10.77/1.83 inference(resolution,[status(thm)],[f4558,f3006])).
% 10.77/1.83 fof(f4671,plain,(
% 10.77/1.83 spl0_85|spl0_54|~spl0_62|~spl0_55),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4670,f4667,f4248,f4288,f4251])).
% 10.77/1.83 fof(f4784,plain,(
% 10.77/1.83 spl0_101 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_362)))|~relstr_set_smaller(poset_of_lattice(sk0_362),set_union2(X1,unordered_pair(X2,sk0_363)),X0)|related(poset_of_lattice(sk0_362),sk0_363,X0)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4787,plain,(
% 10.77/1.83 ![X0,X1,X2]: (~element(X0,the_carrier(poset_of_lattice(sk0_362)))|~relstr_set_smaller(poset_of_lattice(sk0_362),set_union2(X1,unordered_pair(X2,sk0_363)),X0)|related(poset_of_lattice(sk0_362),sk0_363,X0)|empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362))),
% 10.77/1.83 inference(resolution,[status(thm)],[f4562,f3006])).
% 10.77/1.83 fof(f4788,plain,(
% 10.77/1.83 spl0_101|spl0_54|~spl0_62|~spl0_55),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4787,f4784,f4248,f4288,f4251])).
% 10.77/1.83 fof(f4800,plain,(
% 10.77/1.83 spl0_104 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_362)))|~relstr_set_smaller(poset_of_lattice(sk0_362),set_union2(X1,unordered_pair(sk0_363,X2)),X0)|related(poset_of_lattice(sk0_362),sk0_363,X0)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f4803,plain,(
% 10.77/1.83 ![X0,X1,X2]: (~element(X0,the_carrier(poset_of_lattice(sk0_362)))|~relstr_set_smaller(poset_of_lattice(sk0_362),set_union2(X1,unordered_pair(sk0_363,X2)),X0)|related(poset_of_lattice(sk0_362),sk0_363,X0)|empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362))),
% 10.77/1.83 inference(resolution,[status(thm)],[f4566,f3006])).
% 10.77/1.83 fof(f4804,plain,(
% 10.77/1.83 spl0_104|spl0_54|~spl0_62|~spl0_55),
% 10.77/1.83 inference(split_clause,[status(thm)],[f4803,f4800,f4248,f4288,f4251])).
% 10.77/1.83 fof(f5196,plain,(
% 10.77/1.83 spl0_122 <=> ~element(X0,the_carrier(sk0_169))|cast_to_el_of_LattPOSet(sk0_169,X0)=X0),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f5199,plain,(
% 10.77/1.83 ![X0]: (empty_carrier(sk0_169)|~latt_str(sk0_169)|~element(X0,the_carrier(sk0_169))|cast_to_el_of_LattPOSet(sk0_169,X0)=X0)),
% 10.77/1.83 inference(resolution,[status(thm)],[f1164,f2154])).
% 10.77/1.83 fof(f5200,plain,(
% 10.77/1.83 spl0_64|~spl0_65|spl0_122),
% 10.77/1.83 inference(split_clause,[status(thm)],[f5199,f4302,f4305,f5196])).
% 10.77/1.83 fof(f5201,plain,(
% 10.77/1.83 spl0_123 <=> ~element(X0,the_carrier(sk0_362))|cast_to_el_of_LattPOSet(sk0_362,X0)=X0),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f5202,plain,(
% 10.77/1.83 ![X0]: (~element(X0,the_carrier(sk0_362))|cast_to_el_of_LattPOSet(sk0_362,X0)=X0|~spl0_123)),
% 10.77/1.83 inference(component_clause,[status(thm)],[f5201])).
% 10.77/1.83 fof(f5204,plain,(
% 10.77/1.83 ![X0]: (empty_carrier(sk0_362)|~latt_str(sk0_362)|~element(X0,the_carrier(sk0_362))|cast_to_el_of_LattPOSet(sk0_362,X0)=X0)),
% 10.77/1.83 inference(resolution,[status(thm)],[f1164,f3004])).
% 10.77/1.83 fof(f5205,plain,(
% 10.77/1.83 spl0_54|~spl0_55|spl0_123),
% 10.77/1.83 inference(split_clause,[status(thm)],[f5204,f4248,f4251,f5201])).
% 10.77/1.83 fof(f5285,plain,(
% 10.77/1.83 cast_to_el_of_LattPOSet(sk0_362,sk0_121(the_carrier(sk0_362)))=sk0_121(the_carrier(sk0_362))|~spl0_123),
% 10.77/1.83 inference(resolution,[status(thm)],[f5202,f1598])).
% 10.77/1.83 fof(f5287,plain,(
% 10.77/1.83 cast_to_el_of_LattPOSet(sk0_362,sk0_363)=sk0_363|~spl0_123|~spl0_59),
% 10.77/1.83 inference(resolution,[status(thm)],[f5202,f4274])).
% 10.77/1.83 fof(f5288,plain,(
% 10.77/1.83 spl0_124 <=> latt_element_smaller(sk0_362,sk0_363,X0)|~relstr_set_smaller(poset_of_lattice(sk0_362),X0,sk0_363)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f5289,plain,(
% 10.77/1.83 ![X0]: (latt_element_smaller(sk0_362,sk0_363,X0)|~relstr_set_smaller(poset_of_lattice(sk0_362),X0,sk0_363)|~spl0_124)),
% 10.77/1.83 inference(component_clause,[status(thm)],[f5288])).
% 10.77/1.83 fof(f5291,plain,(
% 10.77/1.83 ![X0]: (~element(sk0_363,the_carrier(sk0_362))|latt_element_smaller(sk0_362,sk0_363,X0)|~relstr_set_smaller(poset_of_lattice(sk0_362),X0,sk0_363)|~spl0_60|~spl0_123|~spl0_59)),
% 10.77/1.83 inference(paramodulation,[status(thm)],[f5287,f4281])).
% 10.77/1.83 fof(f5292,plain,(
% 10.77/1.83 ~spl0_59|spl0_124|~spl0_60|~spl0_123),
% 10.77/1.83 inference(split_clause,[status(thm)],[f5291,f4273,f5288,f4280,f5201])).
% 10.77/1.83 fof(f5293,plain,(
% 10.77/1.83 spl0_125 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_362)))|related(poset_of_lattice(sk0_362),X0,cast_to_el_of_LattPOSet(sk0_362,sk0_363))|~latt_element_smaller(sk0_362,sk0_363,unordered_pair(X1,X0))),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f5296,plain,(
% 10.77/1.83 ![X0,X1]: (~element(sk0_363,the_carrier(poset_of_lattice(sk0_362)))|~element(X0,the_carrier(poset_of_lattice(sk0_362)))|related(poset_of_lattice(sk0_362),X0,cast_to_el_of_LattPOSet(sk0_362,sk0_363))|empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362)|~element(sk0_363,the_carrier(sk0_362))|~latt_element_smaller(sk0_362,sk0_363,unordered_pair(X1,X0))|~spl0_123|~spl0_59)),
% 10.77/1.83 inference(paramodulation,[status(thm)],[f5287,f4544])).
% 10.77/1.83 fof(f5297,plain,(
% 10.77/1.83 ~spl0_58|spl0_125|spl0_54|~spl0_62|~spl0_55|~spl0_59|~spl0_123),
% 10.77/1.83 inference(split_clause,[status(thm)],[f5296,f4270,f5293,f4248,f4288,f4251,f4273,f5201])).
% 10.77/1.83 fof(f5298,plain,(
% 10.77/1.83 spl0_126 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_362)))|related(poset_of_lattice(sk0_362),X0,cast_to_el_of_LattPOSet(sk0_362,sk0_363))|~latt_element_smaller(sk0_362,sk0_363,unordered_pair(X0,X1))),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f5301,plain,(
% 10.77/1.83 ![X0,X1]: (~element(sk0_363,the_carrier(poset_of_lattice(sk0_362)))|~element(X0,the_carrier(poset_of_lattice(sk0_362)))|related(poset_of_lattice(sk0_362),X0,cast_to_el_of_LattPOSet(sk0_362,sk0_363))|empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362)|~element(sk0_363,the_carrier(sk0_362))|~latt_element_smaller(sk0_362,sk0_363,unordered_pair(X0,X1))|~spl0_123|~spl0_59)),
% 10.77/1.83 inference(paramodulation,[status(thm)],[f5287,f4540])).
% 10.77/1.83 fof(f5302,plain,(
% 10.77/1.83 ~spl0_58|spl0_126|spl0_54|~spl0_62|~spl0_55|~spl0_59|~spl0_123),
% 10.77/1.83 inference(split_clause,[status(thm)],[f5301,f4270,f5298,f4248,f4288,f4251,f4273,f5201])).
% 10.77/1.83 fof(f5303,plain,(
% 10.77/1.83 spl0_127 <=> ~latt_element_smaller(sk0_362,sk0_363,X0)|relstr_set_smaller(poset_of_lattice(sk0_362),X0,sk0_363)),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f5304,plain,(
% 10.77/1.83 ![X0]: (~latt_element_smaller(sk0_362,sk0_363,X0)|relstr_set_smaller(poset_of_lattice(sk0_362),X0,sk0_363)|~spl0_127)),
% 10.77/1.83 inference(component_clause,[status(thm)],[f5303])).
% 10.77/1.83 fof(f5306,plain,(
% 10.77/1.83 ![X0]: (empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362)|~element(sk0_363,the_carrier(sk0_362))|~latt_element_smaller(sk0_362,sk0_363,X0)|relstr_set_smaller(poset_of_lattice(sk0_362),X0,sk0_363)|~spl0_123|~spl0_59)),
% 10.77/1.83 inference(paramodulation,[status(thm)],[f5287,f2989])).
% 10.77/1.83 fof(f5307,plain,(
% 10.77/1.83 spl0_54|~spl0_62|~spl0_55|~spl0_59|spl0_127|~spl0_123),
% 10.77/1.83 inference(split_clause,[status(thm)],[f5306,f4248,f4288,f4251,f4273,f5303,f5201])).
% 10.77/1.83 fof(f5310,plain,(
% 10.77/1.83 spl0_128 <=> element(sk0_121(the_carrier(sk0_362)),the_carrier(sk0_362))),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f5312,plain,(
% 10.77/1.83 ~element(sk0_121(the_carrier(sk0_362)),the_carrier(sk0_362))|spl0_128),
% 10.77/1.83 inference(component_clause,[status(thm)],[f5310])).
% 10.77/1.83 fof(f5313,plain,(
% 10.77/1.83 spl0_129 <=> latt_element_smaller(sk0_362,sk0_121(the_carrier(sk0_362)),X0)|~relstr_set_smaller(poset_of_lattice(sk0_362),X0,sk0_121(the_carrier(sk0_362)))),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f5316,plain,(
% 10.77/1.83 ![X0]: (~element(sk0_121(the_carrier(sk0_362)),the_carrier(sk0_362))|latt_element_smaller(sk0_362,sk0_121(the_carrier(sk0_362)),X0)|~relstr_set_smaller(poset_of_lattice(sk0_362),X0,sk0_121(the_carrier(sk0_362)))|~spl0_60|~spl0_123)),
% 10.77/1.83 inference(paramodulation,[status(thm)],[f5285,f4281])).
% 10.77/1.83 fof(f5317,plain,(
% 10.77/1.83 ~spl0_128|spl0_129|~spl0_60|~spl0_123),
% 10.77/1.83 inference(split_clause,[status(thm)],[f5316,f5310,f5313,f4280,f5201])).
% 10.77/1.83 fof(f5331,plain,(
% 10.77/1.83 spl0_133 <=> ~latt_element_smaller(sk0_362,sk0_121(the_carrier(sk0_362)),X0)|relstr_set_smaller(poset_of_lattice(sk0_362),X0,sk0_121(the_carrier(sk0_362)))),
% 10.77/1.83 introduced(split_symbol_definition)).
% 10.77/1.83 fof(f5334,plain,(
% 10.77/1.83 ![X0]: (empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362)|~element(sk0_121(the_carrier(sk0_362)),the_carrier(sk0_362))|~latt_element_smaller(sk0_362,sk0_121(the_carrier(sk0_362)),X0)|relstr_set_smaller(poset_of_lattice(sk0_362),X0,sk0_121(the_carrier(sk0_362)))|~spl0_123)),
% 10.77/1.83 inference(paramodulation,[status(thm)],[f5285,f2989])).
% 10.77/1.83 fof(f5335,plain,(
% 10.77/1.83 spl0_54|~spl0_62|~spl0_55|~spl0_128|spl0_133|~spl0_123),
% 10.77/1.83 inference(split_clause,[status(thm)],[f5334,f4248,f4288,f4251,f5310,f5331,f5201])).
% 10.77/1.83 fof(f5336,plain,(
% 10.77/1.83 $false|spl0_128),
% 10.77/1.83 inference(forward_subsumption_resolution,[status(thm)],[f5312,f1598])).
% 10.77/1.83 fof(f5337,plain,(
% 10.77/1.83 spl0_128),
% 10.77/1.83 inference(contradiction_clause,[status(thm)],[f5336])).
% 10.77/1.83 fof(f5338,plain,(
% 10.77/1.83 latt_element_smaller(sk0_362,sk0_363,sk0_364)|~spl0_124|~spl0_31),
% 10.77/1.83 inference(resolution,[status(thm)],[f5289,f3797])).
% 10.77/1.83 fof(f5339,plain,(
% 10.77/1.83 $false|~spl0_56|spl0_32|~spl0_124|~spl0_31),
% 10.77/1.83 inference(forward_subsumption_resolution,[status(thm)],[f5338,f4264])).
% 10.77/1.83 fof(f5340,plain,(
% 10.77/1.83 ~spl0_56|spl0_32|~spl0_124|~spl0_31),
% 10.77/1.83 inference(contradiction_clause,[status(thm)],[f5339])).
% 10.77/1.83 fof(f5341,plain,(
% 10.77/1.83 latt_element_smaller(sk0_362,sk0_363,sk0_364)|~spl0_56|~spl0_32),
% 10.77/1.83 inference(forward_demodulation,[status(thm)],[f4263,f3800])).
% 10.77/1.83 fof(f5342,plain,(
% 10.77/1.83 relstr_set_smaller(poset_of_lattice(sk0_362),sk0_364,sk0_363)|~spl0_127|~spl0_56|~spl0_32),
% 10.77/1.83 inference(resolution,[status(thm)],[f5304,f5341])).
% 10.77/1.83 fof(f5343,plain,(
% 10.77/1.83 spl0_31|~spl0_127|~spl0_56|~spl0_32),
% 10.77/1.83 inference(split_clause,[status(thm)],[f5342,f3796,f5303,f4254,f3799])).
% 10.77/1.83 fof(f5344,plain,(
% 10.77/1.83 $false),
% 10.77/1.83 inference(sat_refutation,[status(thm)],[f3802,f3803,f4258,f4260,f4262,f4269,f4277,f4279,f4284,f4292,f4294,f4299,f4312,f4317,f4322,f4327,f4329,f4331,f4382,f4384,f4392,f4394,f4405,f4407,f4409,f4414,f4593,f4671,f4788,f4804,f5200,f5205,f5292,f5297,f5302,f5307,f5317,f5335,f5337,f5340,f5343])).
% 10.77/1.85 % SZS output end CNFRefutation for theBenchmark.p
% 11.21/1.86 % Elapsed time: 1.506149 seconds
% 11.21/1.86 % CPU time: 11.233188 seconds
% 11.21/1.86 % Total memory used: 226.008 MB
% 11.21/1.86 % Net memory used: 222.947 MB
%------------------------------------------------------------------------------