%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU342+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:22:22 PM UTC 2026
% Result : Theorem 3.92s 0.93s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU342+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 06:15:59 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 3.92/0.93 % Refutation found
% 3.92/0.93 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.92/0.93 % SZS output start CNFRefutation for theBenchmark
% 3.92/0.93 fof(f2,axiom,(
% 3.92/0.93 (! [A] :( latt_str(A)=> ( ( ~ empty_carrier(A)& lattice(A) )=> ( ~ empty_carrier(A)& join_commutative(A)& join_associative(A)& meet_commutative(A)& meet_associative(A)& meet_absorbing(A)& join_absorbing(A) ) ) ) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f6,axiom,(
% 3.92/0.93 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> relation_of_lattice(A) = a_1_0_filter_1(A) ) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f7,axiom,(
% 3.92/0.93 (! [A,B,C,D] :( ( ~ empty(A)& ~ empty(B)& element(C,A)& element(D,B) )=> element(ordered_pair_as_product_element(A,B,C,D),cartesian_product2(A,B)) ) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f13,axiom,(
% 3.92/0.93 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> relation(relation_of_lattice(A)) ) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f16,axiom,(
% 3.92/0.93 (! [A] :( join_semilatt_str(A)=> one_sorted_str(A) ) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f17,axiom,(
% 3.92/0.93 (! [A] :( latt_str(A)=> ( meet_semilatt_str(A)& join_semilatt_str(A) ) ) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f24,axiom,(
% 3.92/0.93 (! [A] :(? [B] : element(B,A) ))),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f25,axiom,(
% 3.92/0.93 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> ~ empty(the_carrier(A)) ) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f29,axiom,(
% 3.92/0.93 (! [A,B] :( ( ~ empty(A)& ~ empty(B) )=> ~ empty(cartesian_product2(A,B)) ) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f30,axiom,(
% 3.92/0.93 (! [A,B] :( ( ~ empty_carrier(B)& lattice(B)& latt_str(B) )=> ( in(A,a_1_0_filter_1(B))<=> (? [C,D] :( element(C,the_carrier(B))& element(D,the_carrier(B))& A = ordered_pair_as_product_element(the_carrier(B),the_carrier(B),C,D)& below_refl(B,C,D) ) )) ) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f31,axiom,(
% 3.92/0.93 (? [A] : empty(A) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f34,axiom,(
% 3.92/0.93 (! [A,B,C,D] :( ( ~ empty(A)& ~ empty(B)& element(C,A)& element(D,B) )=> ordered_pair_as_product_element(A,B,C,D) = ordered_pair(C,D) ) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f35,axiom,(
% 3.92/0.93 (! [A,B,C] :( ( ~ empty_carrier(A)& meet_commutative(A)& meet_absorbing(A)& join_absorbing(A)& latt_str(A)& element(B,the_carrier(A))& element(C,the_carrier(A)) )=> ( below_refl(A,B,C)<=> below(A,B,C) ) ) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f37,axiom,(
% 3.92/0.93 (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f38,axiom,(
% 3.92/0.93 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f39,axiom,(
% 3.92/0.93 (! [A,B] :( (! [C] :( in(C,A)<=> in(C,B) ))=> A = B ) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f40,conjecture,(
% 3.92/0.93 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> ( in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A))<=> below_refl(A,B,C) ) ) )) )) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f41,negated_conjecture,(
% 3.92/0.93 ~((! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> ( in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A))<=> below_refl(A,B,C) ) ) )) )) ))),
% 3.92/0.93 inference(negated_conjecture,[status(cth)],[f40])).
% 3.92/0.93 fof(f42,axiom,(
% 3.92/0.93 (! [A,B,C,D] :( ordered_pair(A,B) = ordered_pair(C,D)=> ( A = C& B = D ) ) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f44,axiom,(
% 3.92/0.93 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 3.92/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.93 fof(f48,plain,(
% 3.92/0.93 ![A]: (~latt_str(A)|((empty_carrier(A)|~lattice(A))|((((((~empty_carrier(A)&join_commutative(A))&join_associative(A))&meet_commutative(A))&meet_associative(A))&meet_absorbing(A))&join_absorbing(A))))),
% 3.92/0.93 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 3.92/0.93 fof(f50,plain,(
% 3.92/0.93 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_commutative(X0))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f48])).
% 3.92/0.93 fof(f51,plain,(
% 3.92/0.93 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_associative(X0))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f48])).
% 3.92/0.93 fof(f52,plain,(
% 3.92/0.93 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_commutative(X0))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f48])).
% 3.92/0.93 fof(f53,plain,(
% 3.92/0.93 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_associative(X0))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f48])).
% 3.92/0.93 fof(f54,plain,(
% 3.92/0.93 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_absorbing(X0))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f48])).
% 3.92/0.93 fof(f55,plain,(
% 3.92/0.93 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_absorbing(X0))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f48])).
% 3.92/0.93 fof(f61,plain,(
% 3.92/0.93 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|relation_of_lattice(A)=a_1_0_filter_1(A))),
% 3.92/0.93 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 3.92/0.93 fof(f62,plain,(
% 3.92/0.93 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|relation_of_lattice(X0)=a_1_0_filter_1(X0))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f61])).
% 3.92/0.93 fof(f63,plain,(
% 3.92/0.93 ![A,B,C,D]: ((((empty(A)|empty(B))|~element(C,A))|~element(D,B))|element(ordered_pair_as_product_element(A,B,C,D),cartesian_product2(A,B)))),
% 3.92/0.93 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 3.92/0.93 fof(f64,plain,(
% 3.92/0.93 ![X0,X1,X2,X3]: (empty(X0)|empty(X1)|~element(X2,X0)|~element(X3,X1)|element(ordered_pair_as_product_element(X0,X1,X2,X3),cartesian_product2(X0,X1)))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f63])).
% 3.92/0.93 fof(f65,plain,(
% 3.92/0.93 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|relation(relation_of_lattice(A)))),
% 3.92/0.93 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 3.92/0.93 fof(f66,plain,(
% 3.92/0.93 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|relation(relation_of_lattice(X0)))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f65])).
% 3.92/0.93 fof(f69,plain,(
% 3.92/0.93 ![A]: (~join_semilatt_str(A)|one_sorted_str(A))),
% 3.92/0.93 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 3.92/0.93 fof(f70,plain,(
% 3.92/0.93 ![X0]: (~join_semilatt_str(X0)|one_sorted_str(X0))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f69])).
% 3.92/0.93 fof(f71,plain,(
% 3.92/0.93 ![A]: (~latt_str(A)|(meet_semilatt_str(A)&join_semilatt_str(A)))),
% 3.92/0.93 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 3.92/0.93 fof(f73,plain,(
% 3.92/0.93 ![X0]: (~latt_str(X0)|join_semilatt_str(X0))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f71])).
% 3.92/0.93 fof(f82,plain,(
% 3.92/0.93 ![A]: element(sK4_skl(A),A)),
% 3.92/0.93 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(B,sK4_skl(A))],[f24])).
% 3.92/0.93 fof(f83,plain,(
% 3.92/0.93 ![X0]: (element(sK4_skl(X0),X0))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f82])).
% 3.92/0.93 fof(f84,plain,(
% 3.92/0.93 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|~empty(the_carrier(A)))),
% 3.92/0.93 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 3.92/0.93 fof(f85,plain,(
% 3.92/0.93 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~empty(the_carrier(X0)))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f84])).
% 3.92/0.93 fof(f89,plain,(
% 3.92/0.93 ![A,B]: ((empty(A)|empty(B))|~empty(cartesian_product2(A,B)))),
% 3.92/0.93 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 3.92/0.93 fof(f90,plain,(
% 3.92/0.93 ![X0,X1]: (empty(X0)|empty(X1)|~empty(cartesian_product2(X0,X1)))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f89])).
% 3.92/0.93 fof(f91,plain,(
% 3.92/0.93 ![A,B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(in(A,a_1_0_filter_1(B))<=>(?[C,D]: (((element(C,the_carrier(B))&element(D,the_carrier(B)))&A=ordered_pair_as_product_element(the_carrier(B),the_carrier(B),C,D))&below_refl(B,C,D)))))),
% 3.92/0.93 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 3.92/0.93 fof(f92,plain,(
% 3.92/0.93 ![A,B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|((~in(A,a_1_0_filter_1(B))|(?[C,D]: (((element(C,the_carrier(B))&element(D,the_carrier(B)))&A=ordered_pair_as_product_element(the_carrier(B),the_carrier(B),C,D))&below_refl(B,C,D))))&(in(A,a_1_0_filter_1(B))|(![C,D]: (((~element(C,the_carrier(B))|~element(D,the_carrier(B)))|~A=ordered_pair_as_product_element(the_carrier(B),the_carrier(B),C,D))|~below_refl(B,C,D))))))),
% 3.92/0.93 inference(NNF_transformation,[status(thm)],[f91])).
% 3.92/0.93 fof(f93,plain,(
% 3.92/0.93 ![B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|((![A]: (~in(A,a_1_0_filter_1(B))|(?[C,D]: (((element(C,the_carrier(B))&element(D,the_carrier(B)))&A=ordered_pair_as_product_element(the_carrier(B),the_carrier(B),C,D))&below_refl(B,C,D)))))&(![A]: (in(A,a_1_0_filter_1(B))|(![C,D]: (((~element(C,the_carrier(B))|~element(D,the_carrier(B)))|~A=ordered_pair_as_product_element(the_carrier(B),the_carrier(B),C,D))|~below_refl(B,C,D)))))))),
% 3.92/0.93 inference(miniscoping,[status(thm)],[f92])).
% 3.92/0.93 fof(f94,plain,(
% 3.92/0.93 ![B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|((![A]: (~in(A,a_1_0_filter_1(B))|(((element(sK5_skl(A,B),the_carrier(B))&element(sK6_skl(A,B),the_carrier(B)))&A=ordered_pair_as_product_element(the_carrier(B),the_carrier(B),sK5_skl(A,B),sK6_skl(A,B)))&below_refl(B,sK5_skl(A,B),sK6_skl(A,B)))))&(![A]: (in(A,a_1_0_filter_1(B))|(![C,D]: (((~element(C,the_carrier(B))|~element(D,the_carrier(B)))|~A=ordered_pair_as_product_element(the_carrier(B),the_carrier(B),C,D))|~below_refl(B,C,D)))))))),
% 3.92/0.93 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl]),skolemize(C,sK5_skl(A,B)),skolemize(D,sK6_skl(A,B))],[f93])).
% 3.92/0.93 fof(f95,plain,(
% 3.92/0.93 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~in(X1,a_1_0_filter_1(X0))|element(sK5_skl(X1,X0),the_carrier(X0)))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f94])).
% 3.92/0.93 fof(f96,plain,(
% 3.92/0.93 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~in(X1,a_1_0_filter_1(X0))|element(sK6_skl(X1,X0),the_carrier(X0)))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f94])).
% 3.92/0.93 fof(f97,plain,(
% 3.92/0.93 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~in(X1,a_1_0_filter_1(X0))|X1=ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),sK5_skl(X1,X0),sK6_skl(X1,X0)))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f94])).
% 3.92/0.93 fof(f98,plain,(
% 3.92/0.93 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~in(X1,a_1_0_filter_1(X0))|below_refl(X0,sK5_skl(X1,X0),sK6_skl(X1,X0)))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f94])).
% 3.92/0.93 fof(f99,plain,(
% 3.92/0.93 ![X0,X1,X2,X3]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|in(X1,a_1_0_filter_1(X0))|~element(X2,the_carrier(X0))|~element(X3,the_carrier(X0))|~X1=ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X2,X3)|~below_refl(X0,X2,X3))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f94])).
% 3.92/0.93 fof(f100,plain,(
% 3.92/0.93 empty(sK7_skl)),
% 3.92/0.93 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(A,sK7_skl)],[f31])).
% 3.92/0.93 fof(f101,plain,(
% 3.92/0.93 empty(sK7_skl)),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f100])).
% 3.92/0.93 fof(f107,plain,(
% 3.92/0.93 ![A,B,C,D]: ((((empty(A)|empty(B))|~element(C,A))|~element(D,B))|ordered_pair_as_product_element(A,B,C,D)=ordered_pair(C,D))),
% 3.92/0.93 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 3.92/0.93 fof(f108,plain,(
% 3.92/0.93 ![X0,X1,X2,X3]: (empty(X0)|empty(X1)|~element(X2,X0)|~element(X3,X1)|ordered_pair_as_product_element(X0,X1,X2,X3)=ordered_pair(X2,X3))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f107])).
% 3.92/0.93 fof(f109,plain,(
% 3.92/0.93 ![A,B,C]: (((((((empty_carrier(A)|~meet_commutative(A))|~meet_absorbing(A))|~join_absorbing(A))|~latt_str(A))|~element(B,the_carrier(A)))|~element(C,the_carrier(A)))|(below_refl(A,B,C)<=>below(A,B,C)))),
% 3.92/0.93 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 3.92/0.93 fof(f110,plain,(
% 3.92/0.93 ![A,B,C]: (((((((empty_carrier(A)|~meet_commutative(A))|~meet_absorbing(A))|~join_absorbing(A))|~latt_str(A))|~element(B,the_carrier(A)))|~element(C,the_carrier(A)))|((~below_refl(A,B,C)|below(A,B,C))&(below_refl(A,B,C)|~below(A,B,C))))),
% 3.92/0.93 inference(NNF_transformation,[status(thm)],[f109])).
% 3.92/0.93 fof(f111,plain,(
% 3.92/0.93 ![X0,X1,X2]: (empty_carrier(X0)|~meet_commutative(X0)|~meet_absorbing(X0)|~join_absorbing(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|~below_refl(X0,X1,X2)|below(X0,X1,X2))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f110])).
% 3.92/0.93 fof(f116,plain,(
% 3.92/0.93 ![A,B]: (~in(A,B)|element(A,B))),
% 3.92/0.93 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 3.92/0.93 fof(f117,plain,(
% 3.92/0.93 ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f116])).
% 3.92/0.93 fof(f118,plain,(
% 3.92/0.93 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 3.92/0.93 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 3.92/0.93 fof(f119,plain,(
% 3.92/0.93 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f118])).
% 3.92/0.93 fof(f120,plain,(
% 3.92/0.93 ![A,B]: ((?[C]: (in(C,A)<~>in(C,B)))|A=B)),
% 3.92/0.93 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 3.92/0.93 fof(f121,plain,(
% 3.92/0.93 ![A,B]: ((?[C]: ((in(C,A)|in(C,B))&(~in(C,A)|~in(C,B))))|A=B)),
% 3.92/0.93 inference(NNF_transformation,[status(thm)],[f120])).
% 3.92/0.93 fof(f122,plain,(
% 3.92/0.93 ![A,B]: (((in(sK10_skl(B,A),A)|in(sK10_skl(B,A),B))&(~in(sK10_skl(B,A),A)|~in(sK10_skl(B,A),B)))|A=B)),
% 3.92/0.93 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(C,sK10_skl(B,A))],[f121])).
% 3.92/0.93 fof(f123,plain,(
% 3.92/0.93 ![X0,X1]: (in(sK10_skl(X0,X1),X1)|in(sK10_skl(X0,X1),X0)|X1=X0)),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f122])).
% 3.92/0.93 fof(f125,plain,(
% 3.92/0.93 (?[A]: (((~empty_carrier(A)&lattice(A))&latt_str(A))&(?[B]: (element(B,the_carrier(A))&(?[C]: (element(C,the_carrier(A))&(in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A))<~>below_refl(A,B,C))))))))),
% 3.92/0.93 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 3.92/0.93 fof(f126,plain,(
% 3.92/0.93 ?[A]: (((~empty_carrier(A)&lattice(A))&latt_str(A))&(?[B]: (element(B,the_carrier(A))&(?[C]: (element(C,the_carrier(A))&((in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A))|below_refl(A,B,C))&(~in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A))|~below_refl(A,B,C))))))))),
% 3.92/0.93 inference(NNF_transformation,[status(thm)],[f125])).
% 3.92/0.93 fof(f127,plain,(
% 3.92/0.93 (((~empty_carrier(sK11_skl)&lattice(sK11_skl))&latt_str(sK11_skl))&(element(sK12_skl,the_carrier(sK11_skl))&(element(sK13_skl,the_carrier(sK11_skl))&((in(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),relation_of_lattice(sK11_skl))|below_refl(sK11_skl,sK12_skl,sK13_skl))&(~in(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),relation_of_lattice(sK11_skl))|~below_refl(sK11_skl,sK12_skl,sK13_skl))))))),
% 3.92/0.93 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl]),skolemize(A,sK11_skl),skolemize(B,sK12_skl),skolemize(C,sK13_skl)],[f126])).
% 3.92/0.93 fof(f128,plain,(
% 3.92/0.93 ~empty_carrier(sK11_skl)),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f127])).
% 3.92/0.93 fof(f129,plain,(
% 3.92/0.93 lattice(sK11_skl)),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f127])).
% 3.92/0.93 fof(f130,plain,(
% 3.92/0.93 latt_str(sK11_skl)),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f127])).
% 3.92/0.93 fof(f131,plain,(
% 3.92/0.93 element(sK12_skl,the_carrier(sK11_skl))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f127])).
% 3.92/0.93 fof(f132,plain,(
% 3.92/0.93 element(sK13_skl,the_carrier(sK11_skl))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f127])).
% 3.92/0.93 fof(f133,plain,(
% 3.92/0.93 in(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),relation_of_lattice(sK11_skl))|below_refl(sK11_skl,sK12_skl,sK13_skl)),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f127])).
% 3.92/0.93 fof(f134,plain,(
% 3.92/0.93 ~in(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),relation_of_lattice(sK11_skl))|~below_refl(sK11_skl,sK12_skl,sK13_skl)),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f127])).
% 3.92/0.93 fof(f135,plain,(
% 3.92/0.93 ![A,B,C,D]: (~ordered_pair(A,B)=ordered_pair(C,D)|(A=C&B=D))),
% 3.92/0.93 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 3.92/0.93 fof(f136,plain,(
% 3.92/0.93 ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|X0=X2)),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f135])).
% 3.92/0.93 fof(f137,plain,(
% 3.92/0.93 ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|X1=X3)),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f135])).
% 3.92/0.93 fof(f140,plain,(
% 3.92/0.93 ![A,B]: (~in(A,B)|~empty(B))),
% 3.92/0.93 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 3.92/0.93 fof(f141,plain,(
% 3.92/0.93 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 3.92/0.93 inference(miniscoping,[status(thm)],[f140])).
% 3.92/0.93 fof(f142,plain,(
% 3.92/0.93 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 3.92/0.93 inference(cnf_transformation,[status(thm)],[f141])).
% 3.92/0.93 fof(f146,definition,(
% 3.92/0.93 sQ0_spl <=> (in(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),relation_of_lattice(sK11_skl)))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f147,plain,(
% 3.92/0.93 in(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),relation_of_lattice(sK11_skl))|~sQ0_spl),
% 3.92/0.93 inference(component_clause,[status(thm)],[f146])).
% 3.92/0.93 fof(f148,plain,(
% 3.92/0.93 ~in(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),relation_of_lattice(sK11_skl))|sQ0_spl),
% 3.92/0.93 inference(component_clause,[status(thm)],[f146])).
% 3.92/0.93 fof(f149,definition,(
% 3.92/0.93 sQ1_spl <=> (below_refl(sK11_skl,sK12_skl,sK13_skl))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f150,plain,(
% 3.92/0.93 below_refl(sK11_skl,sK12_skl,sK13_skl)|~sQ1_spl),
% 3.92/0.93 inference(component_clause,[status(thm)],[f149])).
% 3.92/0.93 fof(f151,plain,(
% 3.92/0.93 ~below_refl(sK11_skl,sK12_skl,sK13_skl)|sQ1_spl),
% 3.92/0.93 inference(component_clause,[status(thm)],[f149])).
% 3.92/0.93 fof(f152,plain,(
% 3.92/0.93 sQ0_spl|sQ1_spl),
% 3.92/0.93 inference(split_clause,[status(thm)],[f133,f146,f149])).
% 3.92/0.93 fof(f153,plain,(
% 3.92/0.93 ~sQ0_spl|~sQ1_spl),
% 3.92/0.93 inference(split_clause,[status(thm)],[f134,f146,f149])).
% 3.92/0.93 fof(f154,plain,(
% 3.92/0.93 empty_carrier(sK11_skl)|~lattice(sK11_skl)|relation_of_lattice(sK11_skl)=a_1_0_filter_1(sK11_skl)),
% 3.92/0.93 inference(resolution,[status(thm)],[f62,f130])).
% 3.92/0.93 fof(f155,definition,(
% 3.92/0.93 sQ2_spl <=> (empty_carrier(sK11_skl))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f156,plain,(
% 3.92/0.93 empty_carrier(sK11_skl)|~sQ2_spl),
% 3.92/0.93 inference(component_clause,[status(thm)],[f155])).
% 3.92/0.93 fof(f158,definition,(
% 3.92/0.93 sQ3_spl <=> (lattice(sK11_skl))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f160,plain,(
% 3.92/0.93 ~lattice(sK11_skl)|sQ3_spl),
% 3.92/0.93 inference(component_clause,[status(thm)],[f158])).
% 3.92/0.93 fof(f161,definition,(
% 3.92/0.93 sQ4_spl <=> (relation_of_lattice(sK11_skl)=a_1_0_filter_1(sK11_skl))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f162,plain,(
% 3.92/0.93 relation_of_lattice(sK11_skl)=a_1_0_filter_1(sK11_skl)|~sQ4_spl),
% 3.92/0.93 inference(component_clause,[status(thm)],[f161])).
% 3.92/0.93 fof(f164,plain,(
% 3.92/0.93 sQ2_spl|~sQ3_spl|sQ4_spl),
% 3.92/0.93 inference(split_clause,[status(thm)],[f154,f155,f158,f161])).
% 3.92/0.93 fof(f165,plain,(
% 3.92/0.93 element(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),relation_of_lattice(sK11_skl))|~sQ0_spl),
% 3.92/0.93 inference(resolution,[status(thm)],[f147,f117])).
% 3.92/0.93 fof(f167,plain,(
% 3.92/0.93 ![X0,X1]: (empty(X0)|empty(relation_of_lattice(sK11_skl))|~element(X1,X0)|ordered_pair_as_product_element(X0,relation_of_lattice(sK11_skl),X1,ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))=ordered_pair(X1,ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))|~sQ0_spl)),
% 3.92/0.93 inference(resolution,[status(thm)],[f108,f165])).
% 3.92/0.93 fof(f168,plain,(
% 3.92/0.93 ![X0,X1]: (empty(X0)|empty(the_carrier(sK11_skl))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK13_skl)=ordered_pair(X1,sK13_skl))),
% 3.92/0.93 inference(resolution,[status(thm)],[f108,f132])).
% 3.92/0.93 fof(f169,plain,(
% 3.92/0.93 ![X0,X1]: (empty(X0)|empty(the_carrier(sK11_skl))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK12_skl)=ordered_pair(X1,sK12_skl))),
% 3.92/0.93 inference(resolution,[status(thm)],[f108,f131])).
% 3.92/0.93 fof(f170,definition,(
% 3.92/0.93 ![X0,X1]: (sQ5_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,relation_of_lattice(sK11_skl),X1,ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))=ordered_pair(X1,ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f171,plain,(
% 3.92/0.93 ![X0,X1]: (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,relation_of_lattice(sK11_skl),X1,ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))=ordered_pair(X1,ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))|~sQ5_spl)),
% 3.92/0.93 inference(component_clause,[status(thm)],[f170])).
% 3.92/0.93 fof(f173,definition,(
% 3.92/0.93 sQ6_spl <=> (empty(relation_of_lattice(sK11_skl)))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f174,plain,(
% 3.92/0.93 empty(relation_of_lattice(sK11_skl))|~sQ6_spl),
% 3.92/0.93 inference(component_clause,[status(thm)],[f173])).
% 3.92/0.93 fof(f176,plain,(
% 3.92/0.93 sQ5_spl|sQ6_spl|~sQ0_spl),
% 3.92/0.93 inference(split_clause,[status(thm)],[f167,f170,f173,f146])).
% 3.92/0.93 fof(f177,definition,(
% 3.92/0.93 ![X0,X1]: (sQ7_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK13_skl)=ordered_pair(X1,sK13_skl)))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f178,plain,(
% 3.92/0.93 ![X0,X1]: (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK13_skl)=ordered_pair(X1,sK13_skl)|~sQ7_spl)),
% 3.92/0.93 inference(component_clause,[status(thm)],[f177])).
% 3.92/0.93 fof(f180,definition,(
% 3.92/0.93 sQ8_spl <=> (empty(the_carrier(sK11_skl)))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f181,plain,(
% 3.92/0.93 empty(the_carrier(sK11_skl))|~sQ8_spl),
% 3.92/0.93 inference(component_clause,[status(thm)],[f180])).
% 3.92/0.93 fof(f183,plain,(
% 3.92/0.93 sQ7_spl|sQ8_spl),
% 3.92/0.93 inference(split_clause,[status(thm)],[f168,f177,f180])).
% 3.92/0.93 fof(f184,definition,(
% 3.92/0.93 ![X0,X1]: (sQ9_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK12_skl)=ordered_pair(X1,sK12_skl)))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f185,plain,(
% 3.92/0.93 ![X0,X1]: (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK12_skl)=ordered_pair(X1,sK12_skl)|~sQ9_spl)),
% 3.92/0.93 inference(component_clause,[status(thm)],[f184])).
% 3.92/0.93 fof(f187,plain,(
% 3.92/0.93 sQ9_spl|sQ8_spl),
% 3.92/0.93 inference(split_clause,[status(thm)],[f169,f184,f180])).
% 3.92/0.93 fof(f200,plain,(
% 3.92/0.93 in(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),a_1_0_filter_1(sK11_skl))|~sQ4_spl|~sQ0_spl),
% 3.92/0.93 inference(backward_demodulation,[status(thm)],[f162,f147])).
% 3.92/0.93 fof(f201,plain,(
% 3.92/0.93 empty_carrier(sK11_skl)|~lattice(sK11_skl)|join_commutative(sK11_skl)),
% 3.92/0.93 inference(resolution,[status(thm)],[f50,f130])).
% 3.92/0.93 fof(f202,definition,(
% 3.92/0.93 sQ12_spl <=> (join_commutative(sK11_skl))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f205,plain,(
% 3.92/0.93 sQ2_spl|~sQ3_spl|sQ12_spl),
% 3.92/0.93 inference(split_clause,[status(thm)],[f201,f155,f158,f202])).
% 3.92/0.93 fof(f206,plain,(
% 3.92/0.93 $false|sQ3_spl),
% 3.92/0.93 inference(forward_subsumption_resolution,[status(thm)],[f160,f129])).
% 3.92/0.93 fof(f207,plain,(
% 3.92/0.93 sQ3_spl),
% 3.92/0.93 inference(contradiction_clause,[status(thm)],[f206])).
% 3.92/0.93 fof(f208,plain,(
% 3.92/0.93 $false|~sQ2_spl),
% 3.92/0.93 inference(forward_subsumption_resolution,[status(thm)],[f156,f128])).
% 3.92/0.93 fof(f209,plain,(
% 3.92/0.93 ~sQ2_spl),
% 3.92/0.93 inference(contradiction_clause,[status(thm)],[f208])).
% 3.92/0.93 fof(f210,plain,(
% 3.92/0.93 empty_carrier(sK11_skl)|~lattice(sK11_skl)|join_associative(sK11_skl)),
% 3.92/0.93 inference(resolution,[status(thm)],[f51,f130])).
% 3.92/0.93 fof(f211,definition,(
% 3.92/0.93 sQ13_spl <=> (join_associative(sK11_skl))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f214,plain,(
% 3.92/0.93 sQ2_spl|~sQ3_spl|sQ13_spl),
% 3.92/0.93 inference(split_clause,[status(thm)],[f210,f155,f158,f211])).
% 3.92/0.93 fof(f215,plain,(
% 3.92/0.93 empty_carrier(sK11_skl)|~lattice(sK11_skl)|meet_commutative(sK11_skl)),
% 3.92/0.93 inference(resolution,[status(thm)],[f52,f130])).
% 3.92/0.93 fof(f216,definition,(
% 3.92/0.93 sQ14_spl <=> (meet_commutative(sK11_skl))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f217,plain,(
% 3.92/0.93 meet_commutative(sK11_skl)|~sQ14_spl),
% 3.92/0.93 inference(component_clause,[status(thm)],[f216])).
% 3.92/0.93 fof(f219,plain,(
% 3.92/0.93 sQ2_spl|~sQ3_spl|sQ14_spl),
% 3.92/0.93 inference(split_clause,[status(thm)],[f215,f155,f158,f216])).
% 3.92/0.93 fof(f220,plain,(
% 3.92/0.93 empty_carrier(sK11_skl)|~lattice(sK11_skl)|meet_associative(sK11_skl)),
% 3.92/0.93 inference(resolution,[status(thm)],[f53,f130])).
% 3.92/0.93 fof(f221,definition,(
% 3.92/0.93 sQ15_spl <=> (meet_associative(sK11_skl))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f224,plain,(
% 3.92/0.93 sQ2_spl|~sQ3_spl|sQ15_spl),
% 3.92/0.93 inference(split_clause,[status(thm)],[f220,f155,f158,f221])).
% 3.92/0.93 fof(f225,plain,(
% 3.92/0.93 empty_carrier(sK11_skl)|~lattice(sK11_skl)|meet_absorbing(sK11_skl)),
% 3.92/0.93 inference(resolution,[status(thm)],[f54,f130])).
% 3.92/0.93 fof(f226,definition,(
% 3.92/0.93 sQ16_spl <=> (meet_absorbing(sK11_skl))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f229,plain,(
% 3.92/0.93 sQ2_spl|~sQ3_spl|sQ16_spl),
% 3.92/0.93 inference(split_clause,[status(thm)],[f225,f155,f158,f226])).
% 3.92/0.93 fof(f230,plain,(
% 3.92/0.93 empty_carrier(sK11_skl)|~lattice(sK11_skl)|join_absorbing(sK11_skl)),
% 3.92/0.93 inference(resolution,[status(thm)],[f55,f130])).
% 3.92/0.93 fof(f231,definition,(
% 3.92/0.93 sQ17_spl <=> (join_absorbing(sK11_skl))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f234,plain,(
% 3.92/0.93 sQ2_spl|~sQ3_spl|sQ17_spl),
% 3.92/0.93 inference(split_clause,[status(thm)],[f230,f155,f158,f231])).
% 3.92/0.93 fof(f236,plain,(
% 3.92/0.93 join_semilatt_str(sK11_skl)),
% 3.92/0.93 inference(resolution,[status(thm)],[f73,f130])).
% 3.92/0.93 fof(f280,plain,(
% 3.92/0.93 ![X0,X1,X2,X3]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~in(X1,a_1_0_filter_1(X0))|empty(X2)|empty(the_carrier(X0))|~element(X3,X2)|ordered_pair_as_product_element(X2,the_carrier(X0),X3,sK5_skl(X1,X0))=ordered_pair(X3,sK5_skl(X1,X0)))),
% 3.92/0.93 inference(resolution,[status(thm)],[f95,f108])).
% 3.92/0.93 fof(f281,plain,(
% 3.92/0.93 ![X0,X1,X2,X3]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~in(X1,a_1_0_filter_1(X0))|empty(X2)|empty(the_carrier(X0))|~element(X3,X2)|ordered_pair_as_product_element(X2,the_carrier(X0),X3,sK6_skl(X1,X0))=ordered_pair(X3,sK6_skl(X1,X0)))),
% 3.92/0.93 inference(resolution,[status(thm)],[f96,f108])).
% 3.92/0.93 fof(f282,plain,(
% 3.92/0.93 ![X0]: (empty_carrier(sK11_skl)|~latt_str(sK11_skl)|~in(X0,a_1_0_filter_1(sK11_skl))|X0=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(X0,sK11_skl),sK6_skl(X0,sK11_skl)))),
% 3.92/0.93 inference(resolution,[status(thm)],[f97,f129])).
% 3.92/0.93 fof(f283,definition,(
% 3.92/0.93 sQ27_spl <=> (latt_str(sK11_skl))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f285,plain,(
% 3.92/0.93 ~latt_str(sK11_skl)|sQ27_spl),
% 3.92/0.93 inference(component_clause,[status(thm)],[f283])).
% 3.92/0.93 fof(f286,definition,(
% 3.92/0.93 ![X0]: (sQ28_spl <=> (~in(X0,a_1_0_filter_1(sK11_skl))|X0=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(X0,sK11_skl),sK6_skl(X0,sK11_skl))))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f287,plain,(
% 3.92/0.93 ![X0]: (~in(X0,a_1_0_filter_1(sK11_skl))|X0=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(X0,sK11_skl),sK6_skl(X0,sK11_skl))|~sQ28_spl)),
% 3.92/0.93 inference(component_clause,[status(thm)],[f286])).
% 3.92/0.93 fof(f289,plain,(
% 3.92/0.93 sQ2_spl|~sQ27_spl|sQ28_spl),
% 3.92/0.93 inference(split_clause,[status(thm)],[f282,f155,f283,f286])).
% 3.92/0.93 fof(f290,plain,(
% 3.92/0.93 $false|sQ27_spl),
% 3.92/0.93 inference(forward_subsumption_resolution,[status(thm)],[f285,f130])).
% 3.92/0.93 fof(f291,plain,(
% 3.92/0.93 sQ27_spl),
% 3.92/0.93 inference(contradiction_clause,[status(thm)],[f290])).
% 3.92/0.93 fof(f292,plain,(
% 3.92/0.93 ![X0]: (~in(X0,sK7_skl))),
% 3.92/0.93 inference(resolution,[status(thm)],[f101,f142])).
% 3.92/0.93 fof(f302,plain,(
% 3.92/0.93 ![X0,X1]: (empty(the_carrier(X0))|ordered_pair_as_product_element(the_carrier(X0),relation_of_lattice(sK11_skl),sK6_skl(X1,X0),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))=ordered_pair(sK6_skl(X1,X0),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))|empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~in(X1,a_1_0_filter_1(X0))|~sQ5_spl)),
% 3.92/0.93 inference(resolution,[status(thm)],[f171,f96])).
% 3.92/0.93 fof(f332,definition,(
% 3.92/0.93 sQ33_spl <=> (empty(a_1_0_filter_1(sK11_skl)))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f333,plain,(
% 3.92/0.93 empty(a_1_0_filter_1(sK11_skl))|~sQ33_spl),
% 3.92/0.93 inference(component_clause,[status(thm)],[f332])).
% 3.92/0.93 fof(f345,plain,(
% 3.92/0.93 ![X0,X1,X2]: (empty_carrier(sK11_skl)|~latt_str(sK11_skl)|~in(X0,a_1_0_filter_1(sK11_skl))|empty(X1)|empty(the_carrier(sK11_skl))|~element(X2,X1)|ordered_pair_as_product_element(X1,the_carrier(sK11_skl),X2,sK5_skl(X0,sK11_skl))=ordered_pair(X2,sK5_skl(X0,sK11_skl)))),
% 3.92/0.93 inference(resolution,[status(thm)],[f280,f129])).
% 3.92/0.93 fof(f346,definition,(
% 3.92/0.93 ![X0,X1,X2]: (sQ36_spl <=> (~in(X0,a_1_0_filter_1(sK11_skl))|empty(X1)|~element(X2,X1)|ordered_pair_as_product_element(X1,the_carrier(sK11_skl),X2,sK5_skl(X0,sK11_skl))=ordered_pair(X2,sK5_skl(X0,sK11_skl))))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f349,plain,(
% 3.92/0.93 sQ2_spl|~sQ27_spl|sQ36_spl|sQ8_spl),
% 3.92/0.93 inference(split_clause,[status(thm)],[f345,f155,f283,f346,f180])).
% 3.92/0.93 fof(f350,plain,(
% 3.92/0.93 ![X0,X1,X2]: (empty_carrier(sK11_skl)|~latt_str(sK11_skl)|~in(X0,a_1_0_filter_1(sK11_skl))|empty(X1)|empty(the_carrier(sK11_skl))|~element(X2,X1)|ordered_pair_as_product_element(X1,the_carrier(sK11_skl),X2,sK6_skl(X0,sK11_skl))=ordered_pair(X2,sK6_skl(X0,sK11_skl)))),
% 3.92/0.93 inference(resolution,[status(thm)],[f281,f129])).
% 3.92/0.93 fof(f351,definition,(
% 3.92/0.93 ![X0,X1,X2]: (sQ37_spl <=> (~in(X0,a_1_0_filter_1(sK11_skl))|empty(X1)|~element(X2,X1)|ordered_pair_as_product_element(X1,the_carrier(sK11_skl),X2,sK6_skl(X0,sK11_skl))=ordered_pair(X2,sK6_skl(X0,sK11_skl))))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f354,plain,(
% 3.92/0.93 sQ2_spl|~sQ27_spl|sQ37_spl|sQ8_spl),
% 3.92/0.93 inference(split_clause,[status(thm)],[f350,f155,f283,f351,f180])).
% 3.92/0.93 fof(f355,plain,(
% 3.92/0.93 ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl)=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),sK11_skl),sK6_skl(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),sK11_skl))|~sQ28_spl|~sQ4_spl|~sQ0_spl),
% 3.92/0.93 inference(resolution,[status(thm)],[f287,f200])).
% 3.92/0.93 fof(f356,plain,(
% 3.92/0.93 ![X0]: (X0=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(X0,sK11_skl),sK6_skl(X0,sK11_skl))|~element(X0,a_1_0_filter_1(sK11_skl))|empty(a_1_0_filter_1(sK11_skl))|~sQ28_spl)),
% 3.92/0.93 inference(resolution,[status(thm)],[f287,f119])).
% 3.92/0.93 fof(f357,definition,(
% 3.92/0.93 ![X0]: (sQ38_spl <=> (X0=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(X0,sK11_skl),sK6_skl(X0,sK11_skl))|~element(X0,a_1_0_filter_1(sK11_skl))))),
% 3.92/0.93 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 3.92/0.93 fof(f360,plain,(
% 3.92/0.93 sQ38_spl|sQ33_spl|~sQ28_spl),
% 3.92/0.93 inference(split_clause,[status(thm)],[f356,f357,f332,f286])).
% 3.92/0.95 fof(f361,plain,(
% 3.92/0.95 ![X0]: (~element(X0,sK7_skl)|empty(sK7_skl))),
% 3.92/0.95 inference(resolution,[status(thm)],[f292,f119])).
% 3.92/0.95 fof(f362,definition,(
% 3.92/0.95 ![X0]: (sQ39_spl <=> (~element(X0,sK7_skl)))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f363,plain,(
% 3.92/0.95 ![X0]: (~element(X0,sK7_skl)|~sQ39_spl)),
% 3.92/0.95 inference(component_clause,[status(thm)],[f362])).
% 3.92/0.95 fof(f365,definition,(
% 3.92/0.95 sQ40_spl <=> (empty(sK7_skl))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f368,plain,(
% 3.92/0.95 sQ39_spl|sQ40_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f361,f362,f365])).
% 3.92/0.95 fof(f374,plain,(
% 3.92/0.95 ![X0]: (empty(the_carrier(sK11_skl))|ordered_pair_as_product_element(the_carrier(sK11_skl),relation_of_lattice(sK11_skl),sK6_skl(X0,sK11_skl),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))=ordered_pair(sK6_skl(X0,sK11_skl),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))|empty_carrier(sK11_skl)|~latt_str(sK11_skl)|~in(X0,a_1_0_filter_1(sK11_skl))|~sQ5_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f302,f129])).
% 3.92/0.95 fof(f375,definition,(
% 3.92/0.95 ![X0]: (sQ42_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),relation_of_lattice(sK11_skl),sK6_skl(X0,sK11_skl),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))=ordered_pair(sK6_skl(X0,sK11_skl),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))|~in(X0,a_1_0_filter_1(sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f376,plain,(
% 3.92/0.95 ![X0]: (ordered_pair_as_product_element(the_carrier(sK11_skl),relation_of_lattice(sK11_skl),sK6_skl(X0,sK11_skl),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))=ordered_pair(sK6_skl(X0,sK11_skl),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))|~in(X0,a_1_0_filter_1(sK11_skl))|~sQ42_spl)),
% 3.92/0.95 inference(component_clause,[status(thm)],[f375])).
% 3.92/0.95 fof(f378,plain,(
% 3.92/0.95 sQ8_spl|sQ42_spl|sQ2_spl|~sQ27_spl|~sQ5_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f374,f180,f375,f155,f283,f170])).
% 3.92/0.95 fof(f395,plain,(
% 3.92/0.95 empty_carrier(sK11_skl)|~lattice(sK11_skl)|~latt_str(sK11_skl)|relation(a_1_0_filter_1(sK11_skl))|~sQ4_spl),
% 3.92/0.95 inference(paramodulation,[status(thm)],[f162,f66])).
% 3.92/0.95 fof(f396,definition,(
% 3.92/0.95 sQ44_spl <=> (relation(a_1_0_filter_1(sK11_skl)))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f399,plain,(
% 3.92/0.95 sQ2_spl|~sQ3_spl|~sQ27_spl|sQ44_spl|~sQ4_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f395,f155,f158,f283,f396,f161])).
% 3.92/0.95 fof(f400,plain,(
% 3.92/0.95 empty(a_1_0_filter_1(sK11_skl))|~sQ4_spl|~sQ6_spl),
% 3.92/0.95 inference(forward_demodulation,[status(thm)],[f162,f174])).
% 3.92/0.95 fof(f401,plain,(
% 3.92/0.95 ![X0]: (~in(X0,a_1_0_filter_1(sK11_skl))|~sQ4_spl|~sQ6_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f400,f142])).
% 3.92/0.95 fof(f429,plain,(
% 3.92/0.95 $false|~sQ6_spl|~sQ4_spl|~sQ0_spl),
% 3.92/0.95 inference(backward_subsumption_resolution,[status(thm)],[f200,f401])).
% 3.92/0.95 fof(f431,plain,(
% 3.92/0.95 ~sQ6_spl|~sQ4_spl|~sQ0_spl),
% 3.92/0.95 inference(contradiction_clause,[status(thm)],[f429])).
% 3.92/0.95 fof(f432,plain,(
% 3.92/0.95 ~in(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),a_1_0_filter_1(sK11_skl))|~sQ4_spl|sQ0_spl),
% 3.92/0.95 inference(forward_demodulation,[status(thm)],[f162,f148])).
% 3.92/0.95 fof(f440,plain,(
% 3.92/0.95 ![X0]: (empty_carrier(sK11_skl)|~lattice(sK11_skl)|~latt_str(sK11_skl)|in(X0,a_1_0_filter_1(sK11_skl))|~element(sK12_skl,the_carrier(sK11_skl))|~element(sK13_skl,the_carrier(sK11_skl))|~X0=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl)|~sQ1_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f150,f99])).
% 3.92/0.95 fof(f441,definition,(
% 3.92/0.95 ![X0]: (sQ51_spl <=> (in(X0,a_1_0_filter_1(sK11_skl))|~X0=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl)))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f442,plain,(
% 3.92/0.95 ![X0]: (in(X0,a_1_0_filter_1(sK11_skl))|~X0=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl)|~sQ51_spl)),
% 3.92/0.95 inference(component_clause,[status(thm)],[f441])).
% 3.92/0.95 fof(f444,definition,(
% 3.92/0.95 sQ52_spl <=> (element(sK12_skl,the_carrier(sK11_skl)))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f446,plain,(
% 3.92/0.95 ~element(sK12_skl,the_carrier(sK11_skl))|sQ52_spl),
% 3.92/0.95 inference(component_clause,[status(thm)],[f444])).
% 3.92/0.95 fof(f447,definition,(
% 3.92/0.95 sQ53_spl <=> (element(sK13_skl,the_carrier(sK11_skl)))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f449,plain,(
% 3.92/0.95 ~element(sK13_skl,the_carrier(sK11_skl))|sQ53_spl),
% 3.92/0.95 inference(component_clause,[status(thm)],[f447])).
% 3.92/0.95 fof(f450,plain,(
% 3.92/0.95 sQ2_spl|~sQ3_spl|~sQ27_spl|sQ51_spl|~sQ52_spl|~sQ53_spl|~sQ1_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f440,f155,f158,f283,f441,f444,f447,f149])).
% 3.92/0.95 fof(f451,plain,(
% 3.92/0.95 $false|sQ53_spl),
% 3.92/0.95 inference(forward_subsumption_resolution,[status(thm)],[f449,f132])).
% 3.92/0.95 fof(f452,plain,(
% 3.92/0.95 sQ53_spl),
% 3.92/0.95 inference(contradiction_clause,[status(thm)],[f451])).
% 3.92/0.95 fof(f453,plain,(
% 3.92/0.95 ![X0,X1,X2,X3,X4,X5]: (empty(X0)|empty(X1)|~element(X2,X0)|~element(X3,X1)|empty(X4)|empty(cartesian_product2(X0,X1))|~element(X5,X4)|ordered_pair_as_product_element(X4,cartesian_product2(X0,X1),X5,ordered_pair_as_product_element(X0,X1,X2,X3))=ordered_pair(X5,ordered_pair_as_product_element(X0,X1,X2,X3)))),
% 3.92/0.95 inference(resolution,[status(thm)],[f64,f108])).
% 3.92/0.95 fof(f458,plain,(
% 3.92/0.95 ![X0]: (~in(X0,a_1_0_filter_1(sK11_skl))|~sQ33_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f333,f142])).
% 3.92/0.95 fof(f483,plain,(
% 3.92/0.95 ![X0]: (~X0=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl)|~sQ33_spl|~sQ51_spl)),
% 3.92/0.95 inference(forward_subsumption_resolution,[status(thm)],[f442,f458])).
% 3.92/0.95 fof(f484,plain,(
% 3.92/0.95 $false|~sQ33_spl|~sQ51_spl),
% 3.92/0.95 inference(equality_resolution,[status(thm)],[f483])).
% 3.92/0.95 fof(f485,plain,(
% 3.92/0.95 ~sQ33_spl|~sQ51_spl),
% 3.92/0.95 inference(contradiction_clause,[status(thm)],[f484])).
% 3.92/0.95 fof(f486,plain,(
% 3.92/0.95 $false|sQ52_spl),
% 3.92/0.95 inference(forward_subsumption_resolution,[status(thm)],[f446,f131])).
% 3.92/0.95 fof(f487,plain,(
% 3.92/0.95 sQ52_spl),
% 3.92/0.95 inference(contradiction_clause,[status(thm)],[f486])).
% 3.92/0.95 fof(f490,plain,(
% 3.92/0.95 $false|~sQ33_spl|~sQ4_spl|~sQ0_spl),
% 3.92/0.95 inference(forward_subsumption_resolution,[status(thm)],[f200,f458])).
% 3.92/0.95 fof(f491,plain,(
% 3.92/0.95 ~sQ33_spl|~sQ4_spl|~sQ0_spl),
% 3.92/0.95 inference(contradiction_clause,[status(thm)],[f490])).
% 3.92/0.95 fof(f500,plain,(
% 3.92/0.95 $false|~sQ39_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f83,f363])).
% 3.92/0.95 fof(f502,plain,(
% 3.92/0.95 ![X0,X1,X2]: (empty(X0)|empty(X1)|~element(X2,X0)|ordered_pair_as_product_element(X0,X1,X2,sK4_skl(X1))=ordered_pair(X2,sK4_skl(X1)))),
% 3.92/0.95 inference(resolution,[status(thm)],[f83,f108])).
% 3.92/0.95 fof(f503,plain,(
% 3.92/0.95 ~sQ39_spl),
% 3.92/0.95 inference(contradiction_clause,[status(thm)],[f500])).
% 3.92/0.95 fof(f504,plain,(
% 3.92/0.95 empty_carrier(sK11_skl)|~one_sorted_str(sK11_skl)|~sQ8_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f85,f181])).
% 3.92/0.95 fof(f505,definition,(
% 3.92/0.95 sQ59_spl <=> (one_sorted_str(sK11_skl))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f507,plain,(
% 3.92/0.95 ~one_sorted_str(sK11_skl)|sQ59_spl),
% 3.92/0.95 inference(component_clause,[status(thm)],[f505])).
% 3.92/0.95 fof(f508,plain,(
% 3.92/0.95 sQ2_spl|~sQ59_spl|~sQ8_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f504,f155,f505,f180])).
% 3.92/0.95 fof(f509,plain,(
% 3.92/0.95 ~join_semilatt_str(sK11_skl)|sQ59_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f507,f70])).
% 3.92/0.95 fof(f510,plain,(
% 3.92/0.95 $false|sQ59_spl),
% 3.92/0.95 inference(forward_subsumption_resolution,[status(thm)],[f509,f236])).
% 3.92/0.95 fof(f511,plain,(
% 3.92/0.95 sQ59_spl),
% 3.92/0.95 inference(contradiction_clause,[status(thm)],[f510])).
% 3.92/0.95 fof(f516,plain,(
% 3.92/0.95 ![X0,X1,X2,X3,X4,X5]: (empty(X0)|empty(X1)|~element(X2,X0)|~element(X3,X1)|empty(X4)|~element(X5,X4)|ordered_pair_as_product_element(X4,cartesian_product2(X0,X1),X5,ordered_pair_as_product_element(X0,X1,X2,X3))=ordered_pair(X5,ordered_pair_as_product_element(X0,X1,X2,X3)))),
% 3.92/0.95 inference(backward_subsumption_resolution,[status(thm)],[f453,f90])).
% 3.92/0.95 fof(f517,plain,(
% 3.92/0.95 ![X0]: (empty_carrier(sK11_skl)|~latt_str(sK11_skl)|~in(X0,a_1_0_filter_1(sK11_skl))|below_refl(sK11_skl,sK5_skl(X0,sK11_skl),sK6_skl(X0,sK11_skl)))),
% 3.92/0.95 inference(resolution,[status(thm)],[f98,f129])).
% 3.92/0.95 fof(f518,definition,(
% 3.92/0.95 ![X0]: (sQ60_spl <=> (~in(X0,a_1_0_filter_1(sK11_skl))|below_refl(sK11_skl,sK5_skl(X0,sK11_skl),sK6_skl(X0,sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f519,plain,(
% 3.92/0.95 ![X0]: (~in(X0,a_1_0_filter_1(sK11_skl))|below_refl(sK11_skl,sK5_skl(X0,sK11_skl),sK6_skl(X0,sK11_skl))|~sQ60_spl)),
% 3.92/0.95 inference(component_clause,[status(thm)],[f518])).
% 3.92/0.95 fof(f521,plain,(
% 3.92/0.95 sQ2_spl|~sQ27_spl|sQ60_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f517,f155,f283,f518])).
% 3.92/0.95 fof(f522,plain,(
% 3.92/0.95 ![X0,X1]: (empty_carrier(sK11_skl)|~meet_absorbing(sK11_skl)|~join_absorbing(sK11_skl)|~latt_str(sK11_skl)|~element(X0,the_carrier(sK11_skl))|~element(X1,the_carrier(sK11_skl))|~below_refl(sK11_skl,X0,X1)|below(sK11_skl,X0,X1)|~sQ14_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f111,f217])).
% 3.92/0.95 fof(f523,definition,(
% 3.92/0.95 ![X0,X1]: (sQ61_spl <=> (~element(X0,the_carrier(sK11_skl))|~element(X1,the_carrier(sK11_skl))|~below_refl(sK11_skl,X0,X1)|below(sK11_skl,X0,X1)))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f526,plain,(
% 3.92/0.95 sQ2_spl|~sQ16_spl|~sQ17_spl|~sQ27_spl|sQ61_spl|~sQ14_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f522,f155,f226,f231,f283,f523,f216])).
% 3.92/0.95 fof(f532,plain,(
% 3.92/0.95 a_1_0_filter_1(sK11_skl)=a_1_0_filter_1(sK11_skl)|sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl))=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl))|~sQ28_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f123,f287])).
% 3.92/0.95 fof(f547,definition,(
% 3.92/0.95 sQ63_spl <=> (a_1_0_filter_1(sK11_skl)=a_1_0_filter_1(sK11_skl))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f550,definition,(
% 3.92/0.95 sQ64_spl <=> (sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl))=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl)))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f553,plain,(
% 3.92/0.95 sQ63_spl|sQ64_spl|~sQ28_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f532,f547,f550,f286])).
% 3.92/0.95 fof(f554,plain,(
% 3.92/0.95 ~ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl)=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl)|~sQ51_spl|~sQ4_spl|sQ0_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f442,f432])).
% 3.92/0.95 fof(f559,plain,(
% 3.92/0.95 $false|~sQ51_spl|~sQ4_spl|sQ0_spl),
% 3.92/0.95 inference(trivial_equality_resolution,[status(thm)],[f554])).
% 3.92/0.95 fof(f560,plain,(
% 3.92/0.95 ~sQ51_spl|~sQ4_spl|sQ0_spl),
% 3.92/0.95 inference(contradiction_clause,[status(thm)],[f559])).
% 3.92/0.95 fof(f563,plain,(
% 3.92/0.95 ![X0]: (ordered_pair_as_product_element(the_carrier(sK11_skl),a_1_0_filter_1(sK11_skl),sK6_skl(X0,sK11_skl),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))=ordered_pair(sK6_skl(X0,sK11_skl),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))|~in(X0,a_1_0_filter_1(sK11_skl))|~sQ4_spl|~sQ42_spl)),
% 3.92/0.95 inference(forward_demodulation,[status(thm)],[f162,f376])).
% 3.92/0.95 fof(f577,plain,(
% 3.92/0.95 ordered_pair_as_product_element(the_carrier(sK11_skl),a_1_0_filter_1(sK11_skl),sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))=ordered_pair(sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))|a_1_0_filter_1(sK11_skl)=a_1_0_filter_1(sK11_skl)|~sQ4_spl|~sQ42_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f563,f123])).
% 3.92/0.95 fof(f581,plain,(
% 3.92/0.95 ![X0]: (ordered_pair_as_product_element(the_carrier(sK11_skl),a_1_0_filter_1(sK11_skl),sK6_skl(X0,sK11_skl),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))=ordered_pair(sK6_skl(X0,sK11_skl),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))|~element(X0,a_1_0_filter_1(sK11_skl))|empty(a_1_0_filter_1(sK11_skl))|~sQ4_spl|~sQ42_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f563,f119])).
% 3.92/0.95 fof(f582,definition,(
% 3.92/0.95 sQ67_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),a_1_0_filter_1(sK11_skl),sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))=ordered_pair(sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl)))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f585,plain,(
% 3.92/0.95 sQ67_spl|sQ63_spl|~sQ4_spl|~sQ42_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f577,f582,f547,f161,f375])).
% 3.92/0.95 fof(f587,definition,(
% 3.92/0.95 ![X0]: (sQ68_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),a_1_0_filter_1(sK11_skl),sK6_skl(X0,sK11_skl),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))=ordered_pair(sK6_skl(X0,sK11_skl),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))|~element(X0,a_1_0_filter_1(sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f590,plain,(
% 3.92/0.95 sQ68_spl|sQ33_spl|~sQ4_spl|~sQ42_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f581,f587,f332,f161,f375])).
% 3.92/0.95 fof(f632,plain,(
% 3.92/0.95 ![X0]: (empty(the_carrier(sK11_skl))|empty(X0)|ordered_pair_as_product_element(the_carrier(sK11_skl),X0,sK13_skl,sK4_skl(X0))=ordered_pair(sK13_skl,sK4_skl(X0)))),
% 3.92/0.95 inference(resolution,[status(thm)],[f502,f132])).
% 3.92/0.95 fof(f633,plain,(
% 3.92/0.95 ![X0]: (empty(the_carrier(sK11_skl))|empty(X0)|ordered_pair_as_product_element(the_carrier(sK11_skl),X0,sK12_skl,sK4_skl(X0))=ordered_pair(sK12_skl,sK4_skl(X0)))),
% 3.92/0.95 inference(resolution,[status(thm)],[f502,f131])).
% 3.92/0.95 fof(f635,definition,(
% 3.92/0.95 ![X0]: (sQ72_spl <=> (empty(X0)|ordered_pair_as_product_element(the_carrier(sK11_skl),X0,sK13_skl,sK4_skl(X0))=ordered_pair(sK13_skl,sK4_skl(X0))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f638,plain,(
% 3.92/0.95 sQ8_spl|sQ72_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f632,f180,f635])).
% 3.92/0.95 fof(f639,definition,(
% 3.92/0.95 ![X0]: (sQ73_spl <=> (empty(X0)|ordered_pair_as_product_element(the_carrier(sK11_skl),X0,sK12_skl,sK4_skl(X0))=ordered_pair(sK12_skl,sK4_skl(X0))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f642,plain,(
% 3.92/0.95 sQ8_spl|sQ73_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f633,f180,f639])).
% 3.92/0.95 fof(f660,definition,(
% 3.92/0.95 sQ75_spl <=> (element(sK5_skl(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),sK11_skl),the_carrier(sK11_skl)))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f661,plain,(
% 3.92/0.95 element(sK5_skl(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),sK11_skl),the_carrier(sK11_skl))|~sQ75_spl),
% 3.92/0.95 inference(component_clause,[status(thm)],[f660])).
% 3.92/0.95 fof(f662,plain,(
% 3.92/0.95 ~element(sK5_skl(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),sK11_skl),the_carrier(sK11_skl))|sQ75_spl),
% 3.92/0.95 inference(component_clause,[status(thm)],[f660])).
% 3.92/0.95 fof(f663,definition,(
% 3.92/0.95 sQ76_spl <=> (element(sK6_skl(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),sK11_skl),the_carrier(sK11_skl)))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f664,plain,(
% 3.92/0.95 element(sK6_skl(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),sK11_skl),the_carrier(sK11_skl))|~sQ76_spl),
% 3.92/0.95 inference(component_clause,[status(thm)],[f663])).
% 3.92/0.95 fof(f665,plain,(
% 3.92/0.95 ~element(sK6_skl(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),sK11_skl),the_carrier(sK11_skl))|sQ76_spl),
% 3.92/0.95 inference(component_clause,[status(thm)],[f663])).
% 3.92/0.95 fof(f701,plain,(
% 3.92/0.95 empty_carrier(sK11_skl)|~lattice(sK11_skl)|~latt_str(sK11_skl)|~in(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),a_1_0_filter_1(sK11_skl))|sQ76_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f665,f96])).
% 3.92/0.95 fof(f702,definition,(
% 3.92/0.95 sQ82_spl <=> (in(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),a_1_0_filter_1(sK11_skl)))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f704,plain,(
% 3.92/0.95 ~in(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),a_1_0_filter_1(sK11_skl))|sQ82_spl),
% 3.92/0.95 inference(component_clause,[status(thm)],[f702])).
% 3.92/0.95 fof(f705,plain,(
% 3.92/0.95 sQ2_spl|~sQ3_spl|~sQ27_spl|~sQ82_spl|sQ76_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f701,f155,f158,f283,f702,f663])).
% 3.92/0.95 fof(f706,plain,(
% 3.92/0.95 $false|~sQ4_spl|~sQ0_spl|sQ82_spl),
% 3.92/0.95 inference(forward_subsumption_resolution,[status(thm)],[f704,f200])).
% 3.92/0.95 fof(f707,plain,(
% 3.92/0.95 ~sQ4_spl|~sQ0_spl|sQ82_spl),
% 3.92/0.95 inference(contradiction_clause,[status(thm)],[f706])).
% 3.92/0.95 fof(f708,plain,(
% 3.92/0.95 empty_carrier(sK11_skl)|~lattice(sK11_skl)|~latt_str(sK11_skl)|~in(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),a_1_0_filter_1(sK11_skl))|sQ75_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f662,f95])).
% 3.92/0.95 fof(f709,plain,(
% 3.92/0.95 sQ2_spl|~sQ3_spl|~sQ27_spl|~sQ82_spl|sQ75_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f708,f155,f158,f283,f702,f660])).
% 3.92/0.95 fof(f713,plain,(
% 3.92/0.95 ![X0,X1]: (empty(the_carrier(X0))|ordered_pair_as_product_element(the_carrier(X0),the_carrier(sK11_skl),sK6_skl(X1,X0),sK13_skl)=ordered_pair(sK6_skl(X1,X0),sK13_skl)|empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~in(X1,a_1_0_filter_1(X0))|~sQ7_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f178,f96])).
% 3.92/0.95 fof(f714,plain,(
% 3.92/0.95 ![X0,X1]: (empty(the_carrier(X0))|ordered_pair_as_product_element(the_carrier(X0),the_carrier(sK11_skl),sK5_skl(X1,X0),sK13_skl)=ordered_pair(sK5_skl(X1,X0),sK13_skl)|empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~in(X1,a_1_0_filter_1(X0))|~sQ7_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f178,f95])).
% 3.92/0.95 fof(f715,plain,(
% 3.92/0.95 empty(the_carrier(sK11_skl))|ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK13_skl,sK13_skl)=ordered_pair(sK13_skl,sK13_skl)|~sQ7_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f178,f132])).
% 3.92/0.95 fof(f716,plain,(
% 3.92/0.95 empty(the_carrier(sK11_skl))|ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl)=ordered_pair(sK12_skl,sK13_skl)|~sQ7_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f178,f131])).
% 3.92/0.95 fof(f722,definition,(
% 3.92/0.95 sQ84_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK13_skl,sK13_skl)=ordered_pair(sK13_skl,sK13_skl))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f723,plain,(
% 3.92/0.95 ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK13_skl,sK13_skl)=ordered_pair(sK13_skl,sK13_skl)|~sQ84_spl),
% 3.92/0.95 inference(component_clause,[status(thm)],[f722])).
% 3.92/0.95 fof(f725,plain,(
% 3.92/0.95 sQ8_spl|sQ84_spl|~sQ7_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f715,f180,f722,f177])).
% 3.92/0.95 fof(f726,definition,(
% 3.92/0.95 sQ85_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl)=ordered_pair(sK12_skl,sK13_skl))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f727,plain,(
% 3.92/0.95 ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl)=ordered_pair(sK12_skl,sK13_skl)|~sQ85_spl),
% 3.92/0.95 inference(component_clause,[status(thm)],[f726])).
% 3.92/0.95 fof(f729,plain,(
% 3.92/0.95 sQ8_spl|sQ85_spl|~sQ7_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f716,f180,f726,f177])).
% 3.92/0.95 fof(f773,plain,(
% 3.92/0.95 ![X0,X1]: (empty(X0)|empty(the_carrier(sK11_skl))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK6_skl(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),sK11_skl))=ordered_pair(X1,sK6_skl(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),sK11_skl))|~sQ76_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f664,f108])).
% 3.92/0.95 fof(f793,definition,(
% 3.92/0.95 ![X0,X1]: (sQ100_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK6_skl(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),sK11_skl))=ordered_pair(X1,sK6_skl(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f794,plain,(
% 3.92/0.95 ![X0,X1]: (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK6_skl(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),sK11_skl))=ordered_pair(X1,sK6_skl(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),sK11_skl))|~sQ100_spl)),
% 3.92/0.95 inference(component_clause,[status(thm)],[f793])).
% 3.92/0.95 fof(f796,plain,(
% 3.92/0.95 sQ100_spl|sQ8_spl|~sQ76_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f773,f793,f180,f663])).
% 3.92/0.95 fof(f881,plain,(
% 3.92/0.95 ![X0]: (empty(the_carrier(sK11_skl))|ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK6_skl(X0,sK11_skl),sK13_skl)=ordered_pair(sK6_skl(X0,sK11_skl),sK13_skl)|empty_carrier(sK11_skl)|~latt_str(sK11_skl)|~in(X0,a_1_0_filter_1(sK11_skl))|~sQ7_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f713,f129])).
% 3.92/0.95 fof(f882,definition,(
% 3.92/0.95 ![X0]: (sQ119_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK6_skl(X0,sK11_skl),sK13_skl)=ordered_pair(sK6_skl(X0,sK11_skl),sK13_skl)|~in(X0,a_1_0_filter_1(sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f883,plain,(
% 3.92/0.95 ![X0]: (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK6_skl(X0,sK11_skl),sK13_skl)=ordered_pair(sK6_skl(X0,sK11_skl),sK13_skl)|~in(X0,a_1_0_filter_1(sK11_skl))|~sQ119_spl)),
% 3.92/0.95 inference(component_clause,[status(thm)],[f882])).
% 3.92/0.95 fof(f885,plain,(
% 3.92/0.95 sQ8_spl|sQ119_spl|sQ2_spl|~sQ27_spl|~sQ7_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f881,f180,f882,f155,f283,f177])).
% 3.92/0.95 fof(f886,plain,(
% 3.92/0.95 ![X0]: (empty(the_carrier(sK11_skl))|ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(X0,sK11_skl),sK13_skl)=ordered_pair(sK5_skl(X0,sK11_skl),sK13_skl)|empty_carrier(sK11_skl)|~latt_str(sK11_skl)|~in(X0,a_1_0_filter_1(sK11_skl))|~sQ7_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f714,f129])).
% 3.92/0.95 fof(f887,definition,(
% 3.92/0.95 ![X0]: (sQ120_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(X0,sK11_skl),sK13_skl)=ordered_pair(sK5_skl(X0,sK11_skl),sK13_skl)|~in(X0,a_1_0_filter_1(sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f888,plain,(
% 3.92/0.95 ![X0]: (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(X0,sK11_skl),sK13_skl)=ordered_pair(sK5_skl(X0,sK11_skl),sK13_skl)|~in(X0,a_1_0_filter_1(sK11_skl))|~sQ120_spl)),
% 3.92/0.95 inference(component_clause,[status(thm)],[f887])).
% 3.92/0.95 fof(f890,plain,(
% 3.92/0.95 sQ8_spl|sQ120_spl|sQ2_spl|~sQ27_spl|~sQ7_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f886,f180,f887,f155,f283,f177])).
% 3.92/0.95 fof(f891,plain,(
% 3.92/0.95 empty(the_carrier(sK11_skl))|empty(the_carrier(sK11_skl))|~element(sK13_skl,the_carrier(sK11_skl))|~element(sK13_skl,the_carrier(sK11_skl))|element(ordered_pair(sK13_skl,sK13_skl),cartesian_product2(the_carrier(sK11_skl),the_carrier(sK11_skl)))|~sQ84_spl),
% 3.92/0.95 inference(paramodulation,[status(thm)],[f723,f64])).
% 3.92/0.95 fof(f892,definition,(
% 3.92/0.95 sQ121_spl <=> (element(ordered_pair(sK13_skl,sK13_skl),cartesian_product2(the_carrier(sK11_skl),the_carrier(sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f895,plain,(
% 3.92/0.95 sQ8_spl|~sQ53_spl|sQ121_spl|~sQ84_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f891,f180,f447,f892,f722])).
% 3.92/0.95 fof(f896,plain,(
% 3.92/0.95 element(sK5_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl),the_carrier(sK11_skl))|~sQ85_spl|~sQ75_spl),
% 3.92/0.95 inference(backward_demodulation,[status(thm)],[f727,f661])).
% 3.92/0.95 fof(f907,plain,(
% 3.92/0.95 ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl)=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),sK11_skl),sK6_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl))|~sQ85_spl|~sQ28_spl|~sQ4_spl|~sQ0_spl),
% 3.92/0.95 inference(backward_demodulation,[status(thm)],[f727,f355])).
% 3.92/0.95 fof(f915,plain,(
% 3.92/0.95 in(ordered_pair(sK12_skl,sK13_skl),a_1_0_filter_1(sK11_skl))|~sQ85_spl|~sQ4_spl|~sQ0_spl),
% 3.92/0.95 inference(backward_demodulation,[status(thm)],[f727,f200])).
% 3.92/0.95 fof(f916,plain,(
% 3.92/0.95 ![X0]: (ordered_pair_as_product_element(the_carrier(sK11_skl),a_1_0_filter_1(sK11_skl),sK6_skl(X0,sK11_skl),ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl))=ordered_pair(sK6_skl(X0,sK11_skl),ordered_pair(sK12_skl,sK13_skl))|~in(X0,a_1_0_filter_1(sK11_skl))|~sQ85_spl|~sQ4_spl|~sQ42_spl)),
% 3.92/0.95 inference(backward_demodulation,[status(thm)],[f727,f563])).
% 3.92/0.95 fof(f919,plain,(
% 3.92/0.95 empty(the_carrier(sK11_skl))|empty(the_carrier(sK11_skl))|~element(sK12_skl,the_carrier(sK11_skl))|~element(sK13_skl,the_carrier(sK11_skl))|element(ordered_pair(sK12_skl,sK13_skl),cartesian_product2(the_carrier(sK11_skl),the_carrier(sK11_skl)))|~sQ85_spl),
% 3.92/0.95 inference(paramodulation,[status(thm)],[f727,f64])).
% 3.92/0.95 fof(f932,plain,(
% 3.92/0.95 ordered_pair(sK12_skl,sK13_skl)=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),sK11_skl),sK6_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl))|~sQ85_spl|~sQ28_spl|~sQ4_spl|~sQ0_spl),
% 3.92/0.95 inference(forward_demodulation,[status(thm)],[f727,f907])).
% 3.92/0.95 fof(f933,plain,(
% 3.92/0.95 ordered_pair(sK12_skl,sK13_skl)=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl),sK6_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl))|~sQ85_spl|~sQ28_spl|~sQ4_spl|~sQ0_spl),
% 3.92/0.95 inference(forward_demodulation,[status(thm)],[f727,f932])).
% 3.92/0.95 fof(f941,plain,(
% 3.92/0.95 ![X0]: (ordered_pair_as_product_element(the_carrier(sK11_skl),a_1_0_filter_1(sK11_skl),sK6_skl(X0,sK11_skl),ordered_pair(sK12_skl,sK13_skl))=ordered_pair(sK6_skl(X0,sK11_skl),ordered_pair(sK12_skl,sK13_skl))|~in(X0,a_1_0_filter_1(sK11_skl))|~sQ85_spl|~sQ4_spl|~sQ42_spl)),
% 3.92/0.95 inference(forward_demodulation,[status(thm)],[f727,f916])).
% 3.92/0.95 fof(f944,definition,(
% 3.92/0.95 sQ122_spl <=> (element(ordered_pair(sK12_skl,sK13_skl),cartesian_product2(the_carrier(sK11_skl),the_carrier(sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f947,plain,(
% 3.92/0.95 sQ8_spl|~sQ52_spl|~sQ53_spl|sQ122_spl|~sQ85_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f919,f180,f444,f447,f944,f726])).
% 3.92/0.95 fof(f961,plain,(
% 3.92/0.95 ![X0,X1]: (empty(the_carrier(X0))|ordered_pair_as_product_element(the_carrier(X0),the_carrier(sK11_skl),sK6_skl(X1,X0),sK12_skl)=ordered_pair(sK6_skl(X1,X0),sK12_skl)|empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~in(X1,a_1_0_filter_1(X0))|~sQ9_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f185,f96])).
% 3.92/0.95 fof(f962,plain,(
% 3.92/0.95 ![X0,X1]: (empty(the_carrier(X0))|ordered_pair_as_product_element(the_carrier(X0),the_carrier(sK11_skl),sK5_skl(X1,X0),sK12_skl)=ordered_pair(sK5_skl(X1,X0),sK12_skl)|empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~in(X1,a_1_0_filter_1(X0))|~sQ9_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f185,f95])).
% 3.92/0.95 fof(f963,plain,(
% 3.92/0.95 empty(the_carrier(sK11_skl))|ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK13_skl,sK12_skl)=ordered_pair(sK13_skl,sK12_skl)|~sQ9_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f185,f132])).
% 3.92/0.95 fof(f964,plain,(
% 3.92/0.95 empty(the_carrier(sK11_skl))|ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK12_skl)=ordered_pair(sK12_skl,sK12_skl)|~sQ9_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f185,f131])).
% 3.92/0.95 fof(f966,definition,(
% 3.92/0.95 sQ125_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK13_skl,sK12_skl)=ordered_pair(sK13_skl,sK12_skl))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f967,plain,(
% 3.92/0.95 ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK13_skl,sK12_skl)=ordered_pair(sK13_skl,sK12_skl)|~sQ125_spl),
% 3.92/0.95 inference(component_clause,[status(thm)],[f966])).
% 3.92/0.95 fof(f969,plain,(
% 3.92/0.95 sQ8_spl|sQ125_spl|~sQ9_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f963,f180,f966,f184])).
% 3.92/0.95 fof(f970,definition,(
% 3.92/0.95 sQ126_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK12_skl)=ordered_pair(sK12_skl,sK12_skl))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f971,plain,(
% 3.92/0.95 ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK12_skl)=ordered_pair(sK12_skl,sK12_skl)|~sQ126_spl),
% 3.92/0.95 inference(component_clause,[status(thm)],[f970])).
% 3.92/0.95 fof(f973,plain,(
% 3.92/0.95 sQ8_spl|sQ126_spl|~sQ9_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f964,f180,f970,f184])).
% 3.92/0.95 fof(f994,plain,(
% 3.92/0.95 ![X0,X1]: (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK6_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl))=ordered_pair(X1,sK6_skl(ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK12_skl,sK13_skl),sK11_skl))|~sQ85_spl|~sQ100_spl)),
% 3.92/0.95 inference(forward_demodulation,[status(thm)],[f727,f794])).
% 3.92/0.95 fof(f995,plain,(
% 3.92/0.95 ![X0,X1]: (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK6_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl))=ordered_pair(X1,sK6_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl))|~sQ85_spl|~sQ100_spl)),
% 3.92/0.95 inference(forward_demodulation,[status(thm)],[f727,f994])).
% 3.92/0.95 fof(f1039,plain,(
% 3.92/0.95 ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK13_skl)=ordered_pair(sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK13_skl)|a_1_0_filter_1(sK11_skl)=a_1_0_filter_1(sK11_skl)|~sQ119_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f883,f123])).
% 3.92/0.95 fof(f1043,plain,(
% 3.92/0.95 ![X0]: (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK6_skl(X0,sK11_skl),sK13_skl)=ordered_pair(sK6_skl(X0,sK11_skl),sK13_skl)|~element(X0,a_1_0_filter_1(sK11_skl))|empty(a_1_0_filter_1(sK11_skl))|~sQ119_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f883,f119])).
% 3.92/0.95 fof(f1044,definition,(
% 3.92/0.95 sQ137_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK13_skl)=ordered_pair(sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK13_skl))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1047,plain,(
% 3.92/0.95 sQ137_spl|sQ63_spl|~sQ119_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1039,f1044,f547,f882])).
% 3.92/0.95 fof(f1049,definition,(
% 3.92/0.95 ![X0]: (sQ138_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK6_skl(X0,sK11_skl),sK13_skl)=ordered_pair(sK6_skl(X0,sK11_skl),sK13_skl)|~element(X0,a_1_0_filter_1(sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1052,plain,(
% 3.92/0.95 sQ138_spl|sQ33_spl|~sQ119_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1043,f1049,f332,f882])).
% 3.92/0.95 fof(f1054,plain,(
% 3.92/0.95 ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK13_skl)=ordered_pair(sK5_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK13_skl)|a_1_0_filter_1(sK11_skl)=a_1_0_filter_1(sK11_skl)|~sQ120_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f888,f123])).
% 3.92/0.95 fof(f1058,plain,(
% 3.92/0.95 ![X0]: (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(X0,sK11_skl),sK13_skl)=ordered_pair(sK5_skl(X0,sK11_skl),sK13_skl)|~element(X0,a_1_0_filter_1(sK11_skl))|empty(a_1_0_filter_1(sK11_skl))|~sQ120_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f888,f119])).
% 3.92/0.95 fof(f1059,definition,(
% 3.92/0.95 sQ139_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK13_skl)=ordered_pair(sK5_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK13_skl))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1062,plain,(
% 3.92/0.95 sQ139_spl|sQ63_spl|~sQ120_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1054,f1059,f547,f887])).
% 3.92/0.95 fof(f1064,definition,(
% 3.92/0.95 ![X0]: (sQ140_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(X0,sK11_skl),sK13_skl)=ordered_pair(sK5_skl(X0,sK11_skl),sK13_skl)|~element(X0,a_1_0_filter_1(sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1067,plain,(
% 3.92/0.95 sQ140_spl|sQ33_spl|~sQ120_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1058,f1064,f332,f887])).
% 3.92/0.95 fof(f1107,plain,(
% 3.92/0.95 empty(the_carrier(sK11_skl))|ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl),sK6_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl))=ordered_pair(sK5_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl),sK6_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl))|~sQ75_spl|~sQ85_spl|~sQ100_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f896,f995])).
% 3.92/0.95 fof(f1117,definition,(
% 3.92/0.95 sQ150_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl),sK6_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl))=ordered_pair(sK5_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl),sK6_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl)))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1118,plain,(
% 3.92/0.95 ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl),sK6_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl))=ordered_pair(sK5_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl),sK6_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl))|~sQ150_spl),
% 3.92/0.95 inference(component_clause,[status(thm)],[f1117])).
% 3.92/0.95 fof(f1120,plain,(
% 3.92/0.95 sQ8_spl|sQ150_spl|~sQ75_spl|~sQ85_spl|~sQ100_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1107,f180,f1117,f660,f726,f793])).
% 3.92/0.95 fof(f1252,plain,(
% 3.92/0.95 ![X0,X1]: (~in(X0,a_1_0_filter_1(sK11_skl))|empty_carrier(sK11_skl)|~lattice(sK11_skl)|~latt_str(sK11_skl)|in(X1,a_1_0_filter_1(sK11_skl))|~element(sK5_skl(X0,sK11_skl),the_carrier(sK11_skl))|~element(sK6_skl(X0,sK11_skl),the_carrier(sK11_skl))|~X1=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(X0,sK11_skl),sK6_skl(X0,sK11_skl))|~sQ60_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f519,f99])).
% 3.92/0.95 fof(f1253,definition,(
% 3.92/0.95 ![X0,X1]: (sQ177_spl <=> (~in(X0,a_1_0_filter_1(sK11_skl))|in(X1,a_1_0_filter_1(sK11_skl))|~element(sK5_skl(X0,sK11_skl),the_carrier(sK11_skl))|~element(sK6_skl(X0,sK11_skl),the_carrier(sK11_skl))|~X1=ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(X0,sK11_skl),sK6_skl(X0,sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1256,plain,(
% 3.92/0.95 sQ177_spl|sQ2_spl|~sQ3_spl|~sQ27_spl|~sQ60_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1252,f1253,f155,f158,f283,f518])).
% 3.92/0.95 fof(f1273,plain,(
% 3.92/0.95 ordered_pair_as_product_element(the_carrier(sK11_skl),a_1_0_filter_1(sK11_skl),sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),ordered_pair(sK12_skl,sK13_skl))=ordered_pair(sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),ordered_pair(sK12_skl,sK13_skl))|a_1_0_filter_1(sK11_skl)=a_1_0_filter_1(sK11_skl)|~sQ85_spl|~sQ4_spl|~sQ42_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f941,f123])).
% 3.92/0.95 fof(f1277,plain,(
% 3.92/0.95 ![X0]: (ordered_pair_as_product_element(the_carrier(sK11_skl),a_1_0_filter_1(sK11_skl),sK6_skl(X0,sK11_skl),ordered_pair(sK12_skl,sK13_skl))=ordered_pair(sK6_skl(X0,sK11_skl),ordered_pair(sK12_skl,sK13_skl))|~element(X0,a_1_0_filter_1(sK11_skl))|empty(a_1_0_filter_1(sK11_skl))|~sQ85_spl|~sQ4_spl|~sQ42_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f941,f119])).
% 3.92/0.95 fof(f1278,definition,(
% 3.92/0.95 sQ180_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),a_1_0_filter_1(sK11_skl),sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),ordered_pair(sK12_skl,sK13_skl))=ordered_pair(sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),ordered_pair(sK12_skl,sK13_skl)))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1281,plain,(
% 3.92/0.95 sQ180_spl|sQ63_spl|~sQ85_spl|~sQ4_spl|~sQ42_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1273,f1278,f547,f726,f161,f375])).
% 3.92/0.95 fof(f1283,definition,(
% 3.92/0.95 ![X0]: (sQ181_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),a_1_0_filter_1(sK11_skl),sK6_skl(X0,sK11_skl),ordered_pair(sK12_skl,sK13_skl))=ordered_pair(sK6_skl(X0,sK11_skl),ordered_pair(sK12_skl,sK13_skl))|~element(X0,a_1_0_filter_1(sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1286,plain,(
% 3.92/0.95 sQ181_spl|sQ33_spl|~sQ85_spl|~sQ4_spl|~sQ42_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1277,f1283,f332,f726,f161,f375])).
% 3.92/0.95 fof(f1297,plain,(
% 3.92/0.95 ![X0]: (empty(the_carrier(sK11_skl))|ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK6_skl(X0,sK11_skl),sK12_skl)=ordered_pair(sK6_skl(X0,sK11_skl),sK12_skl)|empty_carrier(sK11_skl)|~latt_str(sK11_skl)|~in(X0,a_1_0_filter_1(sK11_skl))|~sQ9_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f961,f129])).
% 3.92/0.95 fof(f1298,definition,(
% 3.92/0.95 ![X0]: (sQ184_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK6_skl(X0,sK11_skl),sK12_skl)=ordered_pair(sK6_skl(X0,sK11_skl),sK12_skl)|~in(X0,a_1_0_filter_1(sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1299,plain,(
% 3.92/0.95 ![X0]: (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK6_skl(X0,sK11_skl),sK12_skl)=ordered_pair(sK6_skl(X0,sK11_skl),sK12_skl)|~in(X0,a_1_0_filter_1(sK11_skl))|~sQ184_spl)),
% 3.92/0.95 inference(component_clause,[status(thm)],[f1298])).
% 3.92/0.95 fof(f1301,plain,(
% 3.92/0.95 sQ8_spl|sQ184_spl|sQ2_spl|~sQ27_spl|~sQ9_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1297,f180,f1298,f155,f283,f184])).
% 3.92/0.95 fof(f1302,plain,(
% 3.92/0.95 ![X0]: (empty(the_carrier(sK11_skl))|ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(X0,sK11_skl),sK12_skl)=ordered_pair(sK5_skl(X0,sK11_skl),sK12_skl)|empty_carrier(sK11_skl)|~latt_str(sK11_skl)|~in(X0,a_1_0_filter_1(sK11_skl))|~sQ9_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f962,f129])).
% 3.92/0.95 fof(f1303,definition,(
% 3.92/0.95 ![X0]: (sQ185_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(X0,sK11_skl),sK12_skl)=ordered_pair(sK5_skl(X0,sK11_skl),sK12_skl)|~in(X0,a_1_0_filter_1(sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1304,plain,(
% 3.92/0.95 ![X0]: (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(X0,sK11_skl),sK12_skl)=ordered_pair(sK5_skl(X0,sK11_skl),sK12_skl)|~in(X0,a_1_0_filter_1(sK11_skl))|~sQ185_spl)),
% 3.92/0.95 inference(component_clause,[status(thm)],[f1303])).
% 3.92/0.95 fof(f1306,plain,(
% 3.92/0.95 sQ8_spl|sQ185_spl|sQ2_spl|~sQ27_spl|~sQ9_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1302,f180,f1303,f155,f283,f184])).
% 3.92/0.95 fof(f1307,plain,(
% 3.92/0.95 empty(the_carrier(sK11_skl))|empty(the_carrier(sK11_skl))|~element(sK13_skl,the_carrier(sK11_skl))|~element(sK12_skl,the_carrier(sK11_skl))|element(ordered_pair(sK13_skl,sK12_skl),cartesian_product2(the_carrier(sK11_skl),the_carrier(sK11_skl)))|~sQ125_spl),
% 3.92/0.95 inference(paramodulation,[status(thm)],[f967,f64])).
% 3.92/0.95 fof(f1308,definition,(
% 3.92/0.95 sQ186_spl <=> (element(ordered_pair(sK13_skl,sK12_skl),cartesian_product2(the_carrier(sK11_skl),the_carrier(sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1311,plain,(
% 3.92/0.95 sQ8_spl|~sQ53_spl|~sQ52_spl|sQ186_spl|~sQ125_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1307,f180,f447,f444,f1308,f966])).
% 3.92/0.95 fof(f1340,plain,(
% 3.92/0.95 ![X0,X1]: (empty(X0)|empty(the_carrier(sK11_skl))|~element(X1,X0)|empty(the_carrier(sK11_skl))|ordered_pair_as_product_element(the_carrier(sK11_skl),cartesian_product2(X0,the_carrier(sK11_skl)),sK13_skl,ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK13_skl))=ordered_pair(sK13_skl,ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK13_skl)))),
% 3.92/0.95 inference(resolution,[status(thm)],[f516,f132])).
% 3.92/0.95 fof(f1341,plain,(
% 3.92/0.95 ![X0,X1,X2,X3]: (empty(X0)|empty(the_carrier(sK11_skl))|~element(X1,X0)|empty(X2)|~element(X3,X2)|ordered_pair_as_product_element(X2,cartesian_product2(X0,the_carrier(sK11_skl)),X3,ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK13_skl))=ordered_pair(X3,ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK13_skl)))),
% 3.92/0.95 inference(resolution,[status(thm)],[f516,f132])).
% 3.92/0.95 fof(f1342,plain,(
% 3.92/0.95 ![X0,X1]: (empty(X0)|empty(the_carrier(sK11_skl))|~element(X1,X0)|empty(the_carrier(sK11_skl))|ordered_pair_as_product_element(the_carrier(sK11_skl),cartesian_product2(X0,the_carrier(sK11_skl)),sK12_skl,ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK12_skl))=ordered_pair(sK12_skl,ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK12_skl)))),
% 3.92/0.95 inference(resolution,[status(thm)],[f516,f131])).
% 3.92/0.95 fof(f1343,plain,(
% 3.92/0.95 ![X0,X1,X2,X3]: (empty(X0)|empty(the_carrier(sK11_skl))|~element(X1,X0)|empty(X2)|~element(X3,X2)|ordered_pair_as_product_element(X2,cartesian_product2(X0,the_carrier(sK11_skl)),X3,ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK12_skl))=ordered_pair(X3,ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK12_skl)))),
% 3.92/0.95 inference(resolution,[status(thm)],[f516,f131])).
% 3.92/0.95 fof(f1352,plain,(
% 3.92/0.95 ![X0,X1,X2,X3]: (empty(X0)|empty(X1)|~element(X2,X0)|~element(X3,X1)|empty(the_carrier(sK11_skl))|ordered_pair_as_product_element(the_carrier(sK11_skl),cartesian_product2(X0,X1),sK13_skl,ordered_pair_as_product_element(X0,X1,X2,X3))=ordered_pair(sK13_skl,ordered_pair_as_product_element(X0,X1,X2,X3)))),
% 3.92/0.95 inference(resolution,[status(thm)],[f516,f132])).
% 3.92/0.95 fof(f1353,plain,(
% 3.92/0.95 ![X0,X1,X2,X3]: (empty(X0)|empty(X1)|~element(X2,X0)|~element(X3,X1)|empty(the_carrier(sK11_skl))|ordered_pair_as_product_element(the_carrier(sK11_skl),cartesian_product2(X0,X1),sK12_skl,ordered_pair_as_product_element(X0,X1,X2,X3))=ordered_pair(sK12_skl,ordered_pair_as_product_element(X0,X1,X2,X3)))),
% 3.92/0.95 inference(resolution,[status(thm)],[f516,f131])).
% 3.92/0.95 fof(f1392,definition,(
% 3.92/0.95 ![X0,X1]: (sQ197_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(the_carrier(sK11_skl),cartesian_product2(X0,the_carrier(sK11_skl)),sK13_skl,ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK13_skl))=ordered_pair(sK13_skl,ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK13_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1395,plain,(
% 3.92/0.95 sQ197_spl|sQ8_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1340,f1392,f180])).
% 3.92/0.95 fof(f1396,definition,(
% 3.92/0.95 ![X0,X1,X2,X3]: (sQ198_spl <=> (empty(X0)|~element(X1,X0)|empty(X2)|~element(X3,X2)|ordered_pair_as_product_element(X2,cartesian_product2(X0,the_carrier(sK11_skl)),X3,ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK13_skl))=ordered_pair(X3,ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK13_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1399,plain,(
% 3.92/0.95 sQ198_spl|sQ8_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1341,f1396,f180])).
% 3.92/0.95 fof(f1400,definition,(
% 3.92/0.95 ![X0,X1]: (sQ199_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(the_carrier(sK11_skl),cartesian_product2(X0,the_carrier(sK11_skl)),sK12_skl,ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK12_skl))=ordered_pair(sK12_skl,ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK12_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1403,plain,(
% 3.92/0.95 sQ199_spl|sQ8_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1342,f1400,f180])).
% 3.92/0.95 fof(f1404,definition,(
% 3.92/0.95 ![X0,X1,X2,X3]: (sQ200_spl <=> (empty(X0)|~element(X1,X0)|empty(X2)|~element(X3,X2)|ordered_pair_as_product_element(X2,cartesian_product2(X0,the_carrier(sK11_skl)),X3,ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK12_skl))=ordered_pair(X3,ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK12_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1407,plain,(
% 3.92/0.95 sQ200_spl|sQ8_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1343,f1404,f180])).
% 3.92/0.95 fof(f1425,definition,(
% 3.92/0.95 ![X0,X1,X2,X3]: (sQ205_spl <=> (empty(X0)|empty(X1)|~element(X2,X0)|~element(X3,X1)|ordered_pair_as_product_element(the_carrier(sK11_skl),cartesian_product2(X0,X1),sK13_skl,ordered_pair_as_product_element(X0,X1,X2,X3))=ordered_pair(sK13_skl,ordered_pair_as_product_element(X0,X1,X2,X3))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1428,plain,(
% 3.92/0.95 sQ205_spl|sQ8_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1352,f1425,f180])).
% 3.92/0.95 fof(f1429,definition,(
% 3.92/0.95 ![X0,X1,X2,X3]: (sQ206_spl <=> (empty(X0)|empty(X1)|~element(X2,X0)|~element(X3,X1)|ordered_pair_as_product_element(the_carrier(sK11_skl),cartesian_product2(X0,X1),sK12_skl,ordered_pair_as_product_element(X0,X1,X2,X3))=ordered_pair(sK12_skl,ordered_pair_as_product_element(X0,X1,X2,X3))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1432,plain,(
% 3.92/0.95 sQ206_spl|sQ8_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1353,f1429,f180])).
% 3.92/0.95 fof(f1433,plain,(
% 3.92/0.95 empty(the_carrier(sK11_skl))|empty(the_carrier(sK11_skl))|~element(sK12_skl,the_carrier(sK11_skl))|~element(sK12_skl,the_carrier(sK11_skl))|element(ordered_pair(sK12_skl,sK12_skl),cartesian_product2(the_carrier(sK11_skl),the_carrier(sK11_skl)))|~sQ126_spl),
% 3.92/0.95 inference(paramodulation,[status(thm)],[f971,f64])).
% 3.92/0.95 fof(f1434,definition,(
% 3.92/0.95 sQ207_spl <=> (element(ordered_pair(sK12_skl,sK12_skl),cartesian_product2(the_carrier(sK11_skl),the_carrier(sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1437,plain,(
% 3.92/0.95 sQ8_spl|~sQ52_spl|sQ207_spl|~sQ126_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1433,f180,f444,f1434,f970])).
% 3.92/0.95 fof(f1490,plain,(
% 3.92/0.95 ordered_pair(sK12_skl,sK13_skl)=ordered_pair(sK5_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl),sK6_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl))|~sQ85_spl|~sQ28_spl|~sQ4_spl|~sQ0_spl|~sQ150_spl),
% 3.92/0.95 inference(forward_demodulation,[status(thm)],[f933,f1118])).
% 3.92/0.95 fof(f1491,plain,(
% 3.92/0.95 sK13_skl=sK6_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl)|~sQ85_spl|~sQ28_spl|~sQ4_spl|~sQ0_spl|~sQ150_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f1490,f137])).
% 3.92/0.95 fof(f1492,plain,(
% 3.92/0.95 sK12_skl=sK5_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl)|~sQ85_spl|~sQ28_spl|~sQ4_spl|~sQ0_spl|~sQ150_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f1490,f136])).
% 3.92/0.95 fof(f1535,plain,(
% 3.92/0.95 ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK12_skl)=ordered_pair(sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK12_skl)|a_1_0_filter_1(sK11_skl)=a_1_0_filter_1(sK11_skl)|~sQ184_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f1299,f123])).
% 3.92/0.95 fof(f1539,plain,(
% 3.92/0.95 ![X0]: (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK6_skl(X0,sK11_skl),sK12_skl)=ordered_pair(sK6_skl(X0,sK11_skl),sK12_skl)|~element(X0,a_1_0_filter_1(sK11_skl))|empty(a_1_0_filter_1(sK11_skl))|~sQ184_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f1299,f119])).
% 3.92/0.95 fof(f1540,definition,(
% 3.92/0.95 sQ221_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK12_skl)=ordered_pair(sK6_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK12_skl))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1543,plain,(
% 3.92/0.95 sQ221_spl|sQ63_spl|~sQ184_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1535,f1540,f547,f1298])).
% 3.92/0.95 fof(f1545,definition,(
% 3.92/0.95 ![X0]: (sQ222_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK6_skl(X0,sK11_skl),sK12_skl)=ordered_pair(sK6_skl(X0,sK11_skl),sK12_skl)|~element(X0,a_1_0_filter_1(sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1548,plain,(
% 3.92/0.95 sQ222_spl|sQ33_spl|~sQ184_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1539,f1545,f332,f1298])).
% 3.92/0.95 fof(f1550,plain,(
% 3.92/0.95 ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK12_skl)=ordered_pair(sK5_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK12_skl)|a_1_0_filter_1(sK11_skl)=a_1_0_filter_1(sK11_skl)|~sQ185_spl),
% 3.92/0.95 inference(resolution,[status(thm)],[f1304,f123])).
% 3.92/0.95 fof(f1554,plain,(
% 3.92/0.95 ![X0]: (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(X0,sK11_skl),sK12_skl)=ordered_pair(sK5_skl(X0,sK11_skl),sK12_skl)|~element(X0,a_1_0_filter_1(sK11_skl))|empty(a_1_0_filter_1(sK11_skl))|~sQ185_spl)),
% 3.92/0.95 inference(resolution,[status(thm)],[f1304,f119])).
% 3.92/0.95 fof(f1555,definition,(
% 3.92/0.95 sQ223_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK12_skl)=ordered_pair(sK5_skl(sK10_skl(a_1_0_filter_1(sK11_skl),a_1_0_filter_1(sK11_skl)),sK11_skl),sK12_skl))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1558,plain,(
% 3.92/0.95 sQ223_spl|sQ63_spl|~sQ185_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1550,f1555,f547,f1303])).
% 3.92/0.95 fof(f1560,definition,(
% 3.92/0.95 ![X0]: (sQ224_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK11_skl),sK5_skl(X0,sK11_skl),sK12_skl)=ordered_pair(sK5_skl(X0,sK11_skl),sK12_skl)|~element(X0,a_1_0_filter_1(sK11_skl))))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1563,plain,(
% 3.92/0.95 sQ224_spl|sQ33_spl|~sQ185_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1554,f1560,f332,f1303])).
% 3.92/0.95 fof(f1766,definition,(
% 3.92/0.95 sQ255_spl <=> (in(ordered_pair(sK12_skl,sK13_skl),a_1_0_filter_1(sK11_skl)))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1768,plain,(
% 3.92/0.95 ~in(ordered_pair(sK12_skl,sK13_skl),a_1_0_filter_1(sK11_skl))|sQ255_spl),
% 3.92/0.95 inference(component_clause,[status(thm)],[f1766])).
% 3.92/0.95 fof(f1774,plain,(
% 3.92/0.95 $false|~sQ85_spl|~sQ4_spl|~sQ0_spl|sQ255_spl),
% 3.92/0.95 inference(forward_subsumption_resolution,[status(thm)],[f1768,f915])).
% 3.92/0.95 fof(f1775,plain,(
% 3.92/0.95 ~sQ85_spl|~sQ4_spl|~sQ0_spl|sQ255_spl),
% 3.92/0.95 inference(contradiction_clause,[status(thm)],[f1774])).
% 3.92/0.95 fof(f1788,plain,(
% 3.92/0.95 ~in(ordered_pair(sK12_skl,sK13_skl),a_1_0_filter_1(sK11_skl))|below_refl(sK11_skl,sK12_skl,sK6_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl))|~sQ60_spl|~sQ85_spl|~sQ28_spl|~sQ4_spl|~sQ0_spl|~sQ150_spl),
% 3.92/0.95 inference(paramodulation,[status(thm)],[f1492,f519])).
% 3.92/0.95 fof(f1803,definition,(
% 3.92/0.95 sQ257_spl <=> (below_refl(sK11_skl,sK12_skl,sK6_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl)))),
% 3.92/0.95 introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition])).
% 3.92/0.95 fof(f1804,plain,(
% 3.92/0.95 below_refl(sK11_skl,sK12_skl,sK6_skl(ordered_pair(sK12_skl,sK13_skl),sK11_skl))|~sQ257_spl),
% 3.92/0.95 inference(component_clause,[status(thm)],[f1803])).
% 3.92/0.95 fof(f1806,plain,(
% 3.92/0.95 ~sQ255_spl|sQ257_spl|~sQ60_spl|~sQ85_spl|~sQ28_spl|~sQ4_spl|~sQ0_spl|~sQ150_spl),
% 3.92/0.95 inference(split_clause,[status(thm)],[f1788,f1766,f1803,f518,f726,f286,f161,f146,f1117])).
% 3.92/0.95 fof(f1808,plain,(
% 3.92/0.95 below_refl(sK11_skl,sK12_skl,sK13_skl)|~sQ85_spl|~sQ28_spl|~sQ4_spl|~sQ0_spl|~sQ150_spl|~sQ257_spl),
% 3.92/0.95 inference(forward_demodulation,[status(thm)],[f1491,f1804])).
% 3.92/0.95 fof(f1809,plain,(
% 3.92/0.95 $false|sQ1_spl|~sQ85_spl|~sQ28_spl|~sQ4_spl|~sQ0_spl|~sQ150_spl|~sQ257_spl),
% 3.92/0.95 inference(forward_subsumption_resolution,[status(thm)],[f1808,f151])).
% 3.92/0.95 fof(f1810,plain,(
% 3.92/0.95 sQ1_spl|~sQ85_spl|~sQ28_spl|~sQ4_spl|~sQ0_spl|~sQ150_spl|~sQ257_spl),
% 3.92/0.95 inference(contradiction_clause,[status(thm)],[f1809])).
% 3.92/0.95 fof(f1811,plain,(
% 3.92/0.95 $false),
% 3.92/0.95 inference(sat_refutation,[status(thm)],[f152,f153,f164,f176,f183,f187,f205,f207,f209,f214,f219,f224,f229,f234,f289,f291,f349,f354,f360,f368,f378,f399,f431,f450,f452,f485,f487,f491,f503,f508,f511,f521,f526,f553,f560,f585,f590,f638,f642,f705,f707,f709,f725,f729,f796,f885,f890,f895,f947,f969,f973,f1047,f1052,f1062,f1067,f1120,f1256,f1281,f1286,f1301,f1306,f1311,f1395,f1399,f1403,f1407,f1428,f1432,f1437,f1543,f1548,f1558,f1563,f1775,f1806,f1810])).
% 3.92/0.96 % SZS output end CNFRefutation for theBenchmark.p
% 3.92/0.96 % Elapsed time: 0.591903 seconds
% 3.92/0.96 % CPU time: 4.264973 seconds
% 3.92/0.96 % Total memory used: 150.814 MB
% 3.92/0.96 % Net memory used: 147.923 MB
%------------------------------------------------------------------------------