0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.11/0.33 % Computer : n017.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Tue Aug 9 03:06:15 EDT 2022 0.11/0.33 % CPUTime : 0.11/0.35 % Drodi V3.3.3 6.44/1.18 % Refutation found 6.44/1.18 % SZS status Theorem for theBenchmark: Theorem is valid 6.44/1.18 % SZS output start CNFRefutation for theBenchmark 6.44/1.18 fof(f1,conjecture,( 6.44/1.18 (! [A,B,C] :( ( ~ empty_carrier(A)& transitive_relstr(A)& rel_str(A)& element(C,powerset(B))& finite(C)& element(B,powerset(the_carrier(A))) )=> (? [D] :(! [E] :( in(E,D)<=> ( (? [F] :( F = E& (? [G] :( element(G,the_carrier(A))& in(G,B)& relstr_set_smaller(A,F,G) ) )))& in(E,powerset(C)) ) ) ))) )), 6.44/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.44/1.18 fof(f2,negated_conjecture,( 6.44/1.18 ~((! [A,B,C] :( ( ~ empty_carrier(A)& transitive_relstr(A)& rel_str(A)& element(C,powerset(B))& finite(C)& element(B,powerset(the_carrier(A))) )=> (? [D] :(! [E] :( in(E,D)<=> ( (? [F] :( F = E& (? [G] :( element(G,the_carrier(A))& in(G,B)& relstr_set_smaller(A,F,G) ) )))& in(E,powerset(C)) ) ) ))) ))), 6.44/1.18 inference(negated_conjecture,[status(cth)],[f1])). 6.44/1.18 fof(f3,axiom,( 6.44/1.18 (! [A] :( rel_str(A)=> one_sorted_str(A) ) )), 6.44/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.44/1.18 fof(f5,axiom,( 6.44/1.18 (! [A] :( (? [B] :( element(B,powerset(A))& finite(B)& ~ empty(B) ))<= ~ empty(A) ) )), 6.44/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.44/1.18 fof(f8,axiom,( 6.44/1.18 (! [A] :( ~ empty(the_carrier(A))<= ( ~ empty_carrier(A)& one_sorted_str(A) ) ) )), 6.44/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.44/1.18 fof(f12,axiom,( 6.44/1.18 (! [A] :( (? [B] :( element(B,powerset(A))& finite(B)& ~ empty(B) ))<= ~ empty(A) ) )), 6.44/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.44/1.18 fof(f16,axiom,( 6.44/1.18 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& ~ empty(B) ) )) )), 6.44/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.44/1.18 fof(f18,axiom,( 6.44/1.18 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )), 6.44/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.44/1.18 fof(f19,axiom,( 6.44/1.18 (! [A,B,C] :( ( ~ empty_carrier(A)& rel_str(A)& element(C,powerset(B))& finite(C)& element(B,powerset(the_carrier(A)))& transitive_relstr(A) )=> ( (! [D,E,F] :( ( D = E& F = D& (? [I] :( (? [J] :( element(J,the_carrier(A))& relstr_set_smaller(A,I,J)& in(J,B) ))& F = I ))& (? [G] :( (? [H] :( in(H,B)& relstr_set_smaller(A,G,H)& element(H,the_carrier(A)) ))& E = G ) ))=> E = F ))=> (? [D] :(! [E] :( in(E,D)<=> (? [F] :( E = F& (? [K] :( E = K& (? [L] :( element(L,the_carrier(A))& relstr_set_smaller(A,K,L)& in(L,B) ) )))& in(F,powerset(C)) ) )) ))) ) )), 6.44/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.44/1.18 fof(f21,axiom,( 6.44/1.18 (! [A] :( (? [B] :( element(B,powerset(A))& ~ empty(B) ))<= ~ empty(A) ) )), 6.44/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.44/1.18 fof(f23,plain,( 6.44/1.18 (?[A,B,C]: ((((((~empty_carrier(A)&transitive_relstr(A))&rel_str(A))&element(C,powerset(B)))&finite(C))&element(B,powerset(the_carrier(A))))&(![D]: ?[E]: (in(E,D)<~>((?[F]: (F=E&(?[G]: ((element(G,the_carrier(A))&in(G,B))&relstr_set_smaller(A,F,G)))))&in(E,powerset(C)))))))), 6.44/1.18 inference(pre_NNF_transformation,[status(esa)],[f2])). 6.44/1.18 fof(f24,plain,( 6.44/1.18 ?[A,B,C]: ((((((~empty_carrier(A)&transitive_relstr(A))&rel_str(A))&element(C,powerset(B)))&finite(C))&element(B,powerset(the_carrier(A))))&(![D]: ?[E]: ((in(E,D)|((?[F]: (F=E&(?[G]: ((element(G,the_carrier(A))&in(G,B))&relstr_set_smaller(A,F,G)))))&in(E,powerset(C))))&(~in(E,D)|((![F]: (~F=E|(![G]: ((~element(G,the_carrier(A))|~in(G,B))|~relstr_set_smaller(A,F,G)))))|~in(E,powerset(C)))))))), 6.44/1.18 inference(NNF_transformation,[status(esa)],[f23])). 6.44/1.18 fof(f25,plain,( 6.44/1.18 ((((((~empty_carrier(sk0_0)&transitive_relstr(sk0_0))&rel_str(sk0_0))&element(sk0_2,powerset(sk0_1)))&finite(sk0_2))&element(sk0_1,powerset(the_carrier(sk0_0))))&(![D]: ((in(sk0_3(D),D)|((sk0_4(D)=sk0_3(D)&((element(sk0_5(D),the_carrier(sk0_0))&in(sk0_5(D),sk0_1))&relstr_set_smaller(sk0_0,sk0_4(D),sk0_5(D))))&in(sk0_3(D),powerset(sk0_2))))&(~in(sk0_3(D),D)|((![F]: (~F=sk0_3(D)|(![G]: ((~element(G,the_carrier(sk0_0))|~in(G,sk0_1))|~relstr_set_smaller(sk0_0,F,G)))))|~in(sk0_3(D),powerset(sk0_2)))))))), 6.44/1.18 inference(skolemization,[status(esa)],[f24])). 6.44/1.18 fof(f26,plain,( 6.44/1.18 ~empty_carrier(sk0_0)), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f25])). 6.44/1.18 fof(f27,plain,( 6.44/1.18 transitive_relstr(sk0_0)), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f25])). 6.44/1.18 fof(f28,plain,( 6.44/1.18 rel_str(sk0_0)), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f25])). 6.44/1.18 fof(f29,plain,( 6.44/1.18 element(sk0_2,powerset(sk0_1))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f25])). 6.44/1.18 fof(f30,plain,( 6.44/1.18 finite(sk0_2)), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f25])). 6.44/1.18 fof(f31,plain,( 6.44/1.18 element(sk0_1,powerset(the_carrier(sk0_0)))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f25])). 6.44/1.18 fof(f32,plain,( 6.44/1.18 ![X0]: (in(sk0_3(X0),X0)|sk0_4(X0)=sk0_3(X0))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f25])). 6.44/1.18 fof(f33,plain,( 6.44/1.18 ![X0]: (in(sk0_3(X0),X0)|element(sk0_5(X0),the_carrier(sk0_0)))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f25])). 6.44/1.18 fof(f34,plain,( 6.44/1.18 ![X0]: (in(sk0_3(X0),X0)|in(sk0_5(X0),sk0_1))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f25])). 6.44/1.18 fof(f35,plain,( 6.44/1.18 ![X0]: (in(sk0_3(X0),X0)|relstr_set_smaller(sk0_0,sk0_4(X0),sk0_5(X0)))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f25])). 6.44/1.18 fof(f36,plain,( 6.44/1.18 ![X0]: (in(sk0_3(X0),X0)|in(sk0_3(X0),powerset(sk0_2)))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f25])). 6.44/1.18 fof(f37,plain,( 6.44/1.18 ![X0,X1,X2]: (~in(sk0_3(X0),X0)|~X1=sk0_3(X0)|~element(X2,the_carrier(sk0_0))|~in(X2,sk0_1)|~relstr_set_smaller(sk0_0,X1,X2)|~in(sk0_3(X0),powerset(sk0_2)))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f25])). 6.44/1.18 fof(f38,plain,( 6.44/1.18 ![A]: (~rel_str(A)|one_sorted_str(A))), 6.44/1.18 inference(pre_NNF_transformation,[status(esa)],[f3])). 6.44/1.18 fof(f39,plain,( 6.44/1.18 ![X0]: (~rel_str(X0)|one_sorted_str(X0))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f38])). 6.44/1.18 fof(f42,plain,( 6.44/1.18 ![A]: ((?[B]: ((element(B,powerset(A))&finite(B))&~empty(B)))|empty(A))), 6.44/1.18 inference(pre_NNF_transformation,[status(esa)],[f5])). 6.44/1.18 fof(f43,plain,( 6.44/1.18 ![A]: (((element(sk0_7(A),powerset(A))&finite(sk0_7(A)))&~empty(sk0_7(A)))|empty(A))), 6.44/1.18 inference(skolemization,[status(esa)],[f42])). 6.44/1.18 fof(f44,plain,( 6.44/1.18 ![X0]: (element(sk0_7(X0),powerset(X0))|empty(X0))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f43])). 6.44/1.18 fof(f49,plain,( 6.44/1.18 ![A]: (~empty(the_carrier(A))|(empty_carrier(A)|~one_sorted_str(A)))), 6.44/1.18 inference(pre_NNF_transformation,[status(esa)],[f8])). 6.44/1.18 fof(f50,plain,( 6.44/1.18 ![X0]: (~empty(the_carrier(X0))|empty_carrier(X0)|~one_sorted_str(X0))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f49])). 6.44/1.18 fof(f55,plain,( 6.44/1.18 ![A]: ((?[B]: ((element(B,powerset(A))&finite(B))&~empty(B)))|empty(A))), 6.44/1.18 inference(pre_NNF_transformation,[status(esa)],[f12])). 6.44/1.18 fof(f56,plain,( 6.44/1.18 ![A]: (((element(sk0_9(A),powerset(A))&finite(sk0_9(A)))&~empty(sk0_9(A)))|empty(A))), 6.44/1.18 inference(skolemization,[status(esa)],[f55])). 6.44/1.18 fof(f57,plain,( 6.44/1.18 ![X0]: (element(sk0_9(X0),powerset(X0))|empty(X0))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f56])). 6.44/1.18 fof(f69,plain,( 6.44/1.18 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(?[B]: (element(B,powerset(the_carrier(A)))&~empty(B))))), 6.44/1.18 inference(pre_NNF_transformation,[status(esa)],[f16])). 6.44/1.18 fof(f70,plain,( 6.44/1.18 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(element(sk0_13(A),powerset(the_carrier(A)))&~empty(sk0_13(A))))), 6.44/1.18 inference(skolemization,[status(esa)],[f69])). 6.44/1.18 fof(f71,plain,( 6.44/1.18 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|element(sk0_13(X0),powerset(the_carrier(X0))))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f70])). 6.44/1.18 fof(f73,plain,( 6.44/1.18 ![A,B]: (~in(A,B)|~in(B,A))), 6.44/1.18 inference(pre_NNF_transformation,[status(esa)],[f18])). 6.44/1.18 fof(f74,plain,( 6.44/1.18 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f73])). 6.44/1.18 fof(f75,plain,( 6.44/1.18 ![A,B,C]: ((((((empty_carrier(A)|~rel_str(A))|~element(C,powerset(B)))|~finite(C))|~element(B,powerset(the_carrier(A))))|~transitive_relstr(A))|((?[D,E,F]: ((((D=E&F=D)&(?[I]: ((?[J]: ((element(J,the_carrier(A))&relstr_set_smaller(A,I,J))&in(J,B)))&F=I)))&(?[G]: ((?[H]: ((in(H,B)&relstr_set_smaller(A,G,H))&element(H,the_carrier(A))))&E=G)))&~E=F))|(?[D]: ![E]: (in(E,D)<=>(?[F]: ((E=F&(?[K]: (E=K&(?[L]: ((element(L,the_carrier(A))&relstr_set_smaller(A,K,L))&in(L,B))))))&in(F,powerset(C))))))))), 6.44/1.18 inference(pre_NNF_transformation,[status(esa)],[f19])). 6.44/1.18 fof(f76,plain,( 6.44/1.18 ![A,B,D,E,F]: (pd0_0(F,E,D,B,A)=>((((D=E&F=D)&(?[I]: ((?[J]: ((element(J,the_carrier(A))&relstr_set_smaller(A,I,J))&in(J,B)))&F=I)))&(?[G]: ((?[H]: ((in(H,B)&relstr_set_smaller(A,G,H))&element(H,the_carrier(A))))&E=G)))&~E=F))), 6.44/1.18 introduced(predicate_definition,[f75])). 6.44/1.18 fof(f77,plain,( 6.44/1.18 ![A,B,C]: ((((((empty_carrier(A)|~rel_str(A))|~element(C,powerset(B)))|~finite(C))|~element(B,powerset(the_carrier(A))))|~transitive_relstr(A))|((?[D,E,F]: pd0_0(F,E,D,B,A))|(?[D]: ![E]: (in(E,D)<=>(?[F]: ((E=F&(?[K]: (E=K&(?[L]: ((element(L,the_carrier(A))&relstr_set_smaller(A,K,L))&in(L,B))))))&in(F,powerset(C))))))))), 6.44/1.18 inference(formula_renaming,[status(thm)],[f75,f76])). 6.44/1.18 fof(f78,plain,( 6.44/1.18 ![A,B,C]: ((((((empty_carrier(A)|~rel_str(A))|~element(C,powerset(B)))|~finite(C))|~element(B,powerset(the_carrier(A))))|~transitive_relstr(A))|((?[D,E,F]: pd0_0(F,E,D,B,A))|(?[D]: ![E]: ((~in(E,D)|(?[F]: ((E=F&(?[K]: (E=K&(?[L]: ((element(L,the_carrier(A))&relstr_set_smaller(A,K,L))&in(L,B))))))&in(F,powerset(C)))))&(in(E,D)|(![F]: ((~E=F|(![K]: (~E=K|(![L]: ((~element(L,the_carrier(A))|~relstr_set_smaller(A,K,L))|~in(L,B))))))|~in(F,powerset(C)))))))))), 6.44/1.18 inference(NNF_transformation,[status(esa)],[f77])). 6.44/1.18 fof(f79,plain,( 6.44/1.18 ![A,B,C]: ((((((empty_carrier(A)|~rel_str(A))|~element(C,powerset(B)))|~finite(C))|~element(B,powerset(the_carrier(A))))|~transitive_relstr(A))|((?[D,E,F]: pd0_0(F,E,D,B,A))|(?[D]: ((![E]: (~in(E,D)|(?[F]: ((E=F&(?[K]: (E=K&(?[L]: ((element(L,the_carrier(A))&relstr_set_smaller(A,K,L))&in(L,B))))))&in(F,powerset(C))))))&(![E]: (in(E,D)|(![F]: ((~E=F|(![K]: (~E=K|(![L]: ((~element(L,the_carrier(A))|~relstr_set_smaller(A,K,L))|~in(L,B))))))|~in(F,powerset(C))))))))))), 6.44/1.18 inference(miniscoping,[status(esa)],[f78])). 6.44/1.18 fof(f80,plain,( 6.44/1.18 ![A,B,C]: ((((((empty_carrier(A)|~rel_str(A))|~element(C,powerset(B)))|~finite(C))|~element(B,powerset(the_carrier(A))))|~transitive_relstr(A))|(pd0_0(sk0_16(C,B,A),sk0_15(C,B,A),sk0_14(C,B,A),B,A)|((![E]: (~in(E,sk0_17(C,B,A))|((E=sk0_18(E,C,B,A)&(E=sk0_19(E,C,B,A)&((element(sk0_20(E,C,B,A),the_carrier(A))&relstr_set_smaller(A,sk0_19(E,C,B,A),sk0_20(E,C,B,A)))&in(sk0_20(E,C,B,A),B))))&in(sk0_18(E,C,B,A),powerset(C)))))&(![E]: (in(E,sk0_17(C,B,A))|(![F]: ((~E=F|(![K]: (~E=K|(![L]: ((~element(L,the_carrier(A))|~relstr_set_smaller(A,K,L))|~in(L,B))))))|~in(F,powerset(C)))))))))), 6.44/1.18 inference(skolemization,[status(esa)],[f79])). 6.44/1.18 fof(f81,plain,( 6.44/1.18 ![X0,X1,X2,X3]: (empty_carrier(X0)|~rel_str(X0)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X0)))|~transitive_relstr(X0)|pd0_0(sk0_16(X1,X2,X0),sk0_15(X1,X2,X0),sk0_14(X1,X2,X0),X2,X0)|~in(X3,sk0_17(X1,X2,X0))|X3=sk0_18(X3,X1,X2,X0))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f80])). 6.44/1.18 fof(f82,plain,( 6.44/1.18 ![X0,X1,X2,X3]: (empty_carrier(X0)|~rel_str(X0)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X0)))|~transitive_relstr(X0)|pd0_0(sk0_16(X1,X2,X0),sk0_15(X1,X2,X0),sk0_14(X1,X2,X0),X2,X0)|~in(X3,sk0_17(X1,X2,X0))|X3=sk0_19(X3,X1,X2,X0))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f80])). 6.44/1.18 fof(f83,plain,( 6.44/1.18 ![X0,X1,X2,X3]: (empty_carrier(X0)|~rel_str(X0)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X0)))|~transitive_relstr(X0)|pd0_0(sk0_16(X1,X2,X0),sk0_15(X1,X2,X0),sk0_14(X1,X2,X0),X2,X0)|~in(X3,sk0_17(X1,X2,X0))|element(sk0_20(X3,X1,X2,X0),the_carrier(X0)))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f80])). 6.44/1.18 fof(f84,plain,( 6.44/1.18 ![X0,X1,X2,X3]: (empty_carrier(X0)|~rel_str(X0)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X0)))|~transitive_relstr(X0)|pd0_0(sk0_16(X1,X2,X0),sk0_15(X1,X2,X0),sk0_14(X1,X2,X0),X2,X0)|~in(X3,sk0_17(X1,X2,X0))|relstr_set_smaller(X0,sk0_19(X3,X1,X2,X0),sk0_20(X3,X1,X2,X0)))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f80])). 6.44/1.18 fof(f85,plain,( 6.44/1.18 ![X0,X1,X2,X3]: (empty_carrier(X0)|~rel_str(X0)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X0)))|~transitive_relstr(X0)|pd0_0(sk0_16(X1,X2,X0),sk0_15(X1,X2,X0),sk0_14(X1,X2,X0),X2,X0)|~in(X3,sk0_17(X1,X2,X0))|in(sk0_20(X3,X1,X2,X0),X2))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f80])). 6.44/1.18 fof(f86,plain,( 6.44/1.18 ![X0,X1,X2,X3]: (empty_carrier(X0)|~rel_str(X0)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X0)))|~transitive_relstr(X0)|pd0_0(sk0_16(X1,X2,X0),sk0_15(X1,X2,X0),sk0_14(X1,X2,X0),X2,X0)|~in(X3,sk0_17(X1,X2,X0))|in(sk0_18(X3,X1,X2,X0),powerset(X1)))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f80])). 6.44/1.18 fof(f87,plain,( 6.44/1.18 ![X0,X1,X2,X3,X4,X5,X6]: (empty_carrier(X0)|~rel_str(X0)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X0)))|~transitive_relstr(X0)|pd0_0(sk0_16(X1,X2,X0),sk0_15(X1,X2,X0),sk0_14(X1,X2,X0),X2,X0)|in(X3,sk0_17(X1,X2,X0))|~X3=X4|~X3=X5|~element(X6,the_carrier(X0))|~relstr_set_smaller(X0,X5,X6)|~in(X6,X2)|~in(X4,powerset(X1)))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f80])). 6.44/1.18 fof(f89,plain,( 6.44/1.18 ![A]: ((?[B]: (element(B,powerset(A))&~empty(B)))|empty(A))), 6.44/1.18 inference(pre_NNF_transformation,[status(esa)],[f21])). 6.44/1.18 fof(f90,plain,( 6.44/1.18 ![A]: ((element(sk0_21(A),powerset(A))&~empty(sk0_21(A)))|empty(A))), 6.44/1.18 inference(skolemization,[status(esa)],[f89])). 6.44/1.18 fof(f91,plain,( 6.44/1.18 ![X0]: (element(sk0_21(X0),powerset(X0))|empty(X0))), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f90])). 6.44/1.18 fof(f93,plain,( 6.44/1.18 ![A,B,D,E,F]: (~pd0_0(F,E,D,B,A)|((((D=E&F=D)&(?[I]: ((?[J]: ((element(J,the_carrier(A))&relstr_set_smaller(A,I,J))&in(J,B)))&F=I)))&(?[G]: ((?[H]: ((in(H,B)&relstr_set_smaller(A,G,H))&element(H,the_carrier(A))))&E=G)))&~E=F))), 6.44/1.18 inference(pre_NNF_transformation,[status(esa)],[f76])). 6.44/1.18 fof(f94,plain,( 6.44/1.18 ![A,B,D,E,F]: (~pd0_0(F,E,D,B,A)|((((D=E&F=D)&(((element(sk0_23(F,E,D,B,A),the_carrier(A))&relstr_set_smaller(A,sk0_22(F,E,D,B,A),sk0_23(F,E,D,B,A)))&in(sk0_23(F,E,D,B,A),B))&F=sk0_22(F,E,D,B,A)))&(((in(sk0_25(F,E,D,B,A),B)&relstr_set_smaller(A,sk0_24(F,E,D,B,A),sk0_25(F,E,D,B,A)))&element(sk0_25(F,E,D,B,A),the_carrier(A)))&E=sk0_24(F,E,D,B,A)))&~E=F))), 6.44/1.18 inference(skolemization,[status(esa)],[f93])). 6.44/1.18 fof(f95,plain,( 6.44/1.18 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|X2=X1)), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f94])). 6.44/1.18 fof(f96,plain,( 6.44/1.18 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|X0=X2)), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f94])). 6.44/1.18 fof(f105,plain,( 6.44/1.18 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|~X1=X0)), 6.44/1.18 inference(cnf_transformation,[status(esa)],[f94])). 6.44/1.18 fof(f106,plain,( 6.44/1.18 ![X0,X1]: (~in(sk0_3(X0),X0)|~element(X1,the_carrier(sk0_0))|~in(X1,sk0_1)|~relstr_set_smaller(sk0_0,sk0_3(X0),X1)|~in(sk0_3(X0),powerset(sk0_2)))), 6.44/1.18 inference(destructive_equality_resolution,[status(esa)],[f37])). 6.44/1.18 fof(f107,plain,( 6.44/1.18 ![X0,X1,X2,X3,X4]: (empty_carrier(X0)|~rel_str(X0)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X0)))|~transitive_relstr(X0)|pd0_0(sk0_16(X1,X2,X0),sk0_15(X1,X2,X0),sk0_14(X1,X2,X0),X2,X0)|in(X3,sk0_17(X1,X2,X0))|~element(X4,the_carrier(X0))|~relstr_set_smaller(X0,X3,X4)|~in(X4,X2)|~in(X3,powerset(X1)))), 6.44/1.18 inference(destructive_equality_resolution,[status(esa)],[f87])). 6.44/1.18 fof(f108,plain,( 6.44/1.18 ![X0,X1,X2,X3]: (~pd0_0(X0,X0,X1,X2,X3))), 6.44/1.18 inference(destructive_equality_resolution,[status(esa)],[f105])). 6.44/1.18 fof(f112,plain,( 6.44/1.18 spl0_0 <=> ~element(X0,the_carrier(sk0_0))|~in(X0,sk0_1)|~relstr_set_smaller(sk0_0,sk0_3(powerset(sk0_2)),X0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f115,plain,( 6.44/1.18 spl0_1 <=> in(sk0_3(powerset(sk0_2)),powerset(sk0_2))), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f117,plain,( 6.44/1.18 ~in(sk0_3(powerset(sk0_2)),powerset(sk0_2))|spl0_1), 6.44/1.18 inference(component_clause,[status(thm)],[f115])). 6.44/1.18 fof(f118,plain,( 6.44/1.18 ![X0]: (~element(X0,the_carrier(sk0_0))|~in(X0,sk0_1)|~relstr_set_smaller(sk0_0,sk0_3(powerset(sk0_2)),X0)|~in(sk0_3(powerset(sk0_2)),powerset(sk0_2)))), 6.44/1.18 inference(resolution,[status(thm)],[f36,f106])). 6.44/1.18 fof(f119,plain,( 6.44/1.18 spl0_0|~spl0_1), 6.44/1.18 inference(split_clause,[status(thm)],[f118,f112,f115])). 6.44/1.18 fof(f131,plain,( 6.44/1.18 spl0_4 <=> finite(sk0_2)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f133,plain,( 6.44/1.18 ~finite(sk0_2)|spl0_4), 6.44/1.18 inference(component_clause,[status(thm)],[f131])). 6.44/1.18 fof(f141,plain,( 6.44/1.18 ![X0,X1,X2,X3]: (empty_carrier(X0)|~rel_str(X0)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X0)))|~transitive_relstr(X0)|~in(X3,sk0_17(X1,X2,X0))|X3=sk0_18(X3,X1,X2,X0)|sk0_14(X1,X2,X0)=sk0_15(X1,X2,X0))), 6.44/1.18 inference(resolution,[status(thm)],[f81,f95])). 6.44/1.18 fof(f146,plain,( 6.44/1.18 ![X0,X1,X2,X3]: (empty_carrier(X0)|~rel_str(X0)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X0)))|~transitive_relstr(X0)|~in(X3,sk0_17(X1,X2,X0))|X3=sk0_19(X3,X1,X2,X0)|sk0_14(X1,X2,X0)=sk0_15(X1,X2,X0))), 6.44/1.18 inference(resolution,[status(thm)],[f82,f95])). 6.44/1.18 fof(f160,plain,( 6.44/1.18 ![X0]: (~in(X0,sk0_3(X0))|in(sk0_5(X0),sk0_1))), 6.44/1.18 inference(resolution,[status(thm)],[f74,f34])). 6.44/1.18 fof(f174,plain,( 6.44/1.18 ![X0,X1,X2,X3]: (sk0_16(X0,X1,X2)=sk0_14(X0,X1,X2)|empty_carrier(X2)|~rel_str(X2)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(X2)))|~transitive_relstr(X2)|~in(X3,sk0_17(X0,X1,X2))|X3=sk0_19(X3,X0,X1,X2))), 6.44/1.18 inference(resolution,[status(thm)],[f96,f82])). 6.44/1.18 fof(f175,plain,( 6.44/1.18 ![X0,X1,X2,X3]: (sk0_16(X0,X1,X2)=sk0_14(X0,X1,X2)|empty_carrier(X2)|~rel_str(X2)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(X2)))|~transitive_relstr(X2)|~in(X3,sk0_17(X0,X1,X2))|X3=sk0_18(X3,X0,X1,X2))), 6.44/1.18 inference(resolution,[status(thm)],[f96,f81])). 6.44/1.18 fof(f188,plain,( 6.44/1.18 $false|spl0_1), 6.44/1.18 inference(resolution,[status(thm)],[f117,f36])). 6.44/1.18 fof(f189,plain,( 6.44/1.18 spl0_1), 6.44/1.18 inference(contradiction_clause,[status(thm)],[f188])). 6.44/1.18 fof(f197,plain,( 6.44/1.18 ![X0,X1,X2,X3]: (empty_carrier(X0)|~rel_str(X0)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X0)))|~transitive_relstr(X0)|~in(X3,sk0_17(X1,X2,X0))|in(sk0_20(X3,X1,X2,X0),X2)|sk0_16(X1,X2,X0)=sk0_14(X1,X2,X0))), 6.44/1.18 inference(resolution,[status(thm)],[f85,f96])). 6.44/1.18 fof(f215,plain,( 6.44/1.18 ![X0,X1,X2,X3,X4]: (empty_carrier(X0)|~rel_str(X0)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X0)))|~transitive_relstr(X0)|in(X3,sk0_17(X1,X2,X0))|~element(X4,the_carrier(X0))|~relstr_set_smaller(X0,X3,X4)|~in(X4,X2)|~in(X3,powerset(X1))|sk0_16(X1,X2,X0)=sk0_14(X1,X2,X0))), 6.44/1.18 inference(resolution,[status(thm)],[f107,f96])). 6.44/1.18 fof(f227,plain,( 6.44/1.18 spl0_5 <=> empty_carrier(sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f228,plain,( 6.44/1.18 empty_carrier(sk0_0)|~spl0_5), 6.44/1.18 inference(component_clause,[status(thm)],[f227])). 6.44/1.18 fof(f230,plain,( 6.44/1.18 spl0_6 <=> rel_str(sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f232,plain,( 6.44/1.18 ~rel_str(sk0_0)|spl0_6), 6.44/1.18 inference(component_clause,[status(thm)],[f230])). 6.44/1.18 fof(f233,plain,( 6.44/1.18 spl0_7 <=> ~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|pd0_0(sk0_16(X0,X1,sk0_0),sk0_15(X0,X1,sk0_0),sk0_14(X0,X1,sk0_0),X1,sk0_0)|in(sk0_4(X2),sk0_17(X0,X1,sk0_0))|~element(sk0_5(X2),the_carrier(sk0_0))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|in(sk0_3(X2),X2)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f236,plain,( 6.44/1.18 spl0_8 <=> transitive_relstr(sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f238,plain,( 6.44/1.18 ~transitive_relstr(sk0_0)|spl0_8), 6.44/1.18 inference(component_clause,[status(thm)],[f236])). 6.44/1.18 fof(f239,plain,( 6.44/1.18 ![X0,X1,X2]: (empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_16(X0,X1,sk0_0),sk0_15(X0,X1,sk0_0),sk0_14(X0,X1,sk0_0),X1,sk0_0)|in(sk0_4(X2),sk0_17(X0,X1,sk0_0))|~element(sk0_5(X2),the_carrier(sk0_0))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|in(sk0_3(X2),X2))), 6.44/1.18 inference(resolution,[status(thm)],[f107,f35])). 6.44/1.18 fof(f240,plain,( 6.44/1.18 spl0_5|~spl0_6|spl0_7|~spl0_8), 6.44/1.18 inference(split_clause,[status(thm)],[f239,f227,f230,f233,f236])). 6.44/1.18 fof(f259,plain,( 6.44/1.18 $false|spl0_8), 6.44/1.18 inference(forward_subsumption_resolution,[status(thm)],[f238,f27])). 6.44/1.18 fof(f260,plain,( 6.44/1.18 spl0_8), 6.44/1.18 inference(contradiction_clause,[status(thm)],[f259])). 6.44/1.18 fof(f261,plain,( 6.44/1.18 $false|spl0_6), 6.44/1.18 inference(forward_subsumption_resolution,[status(thm)],[f232,f28])). 6.44/1.18 fof(f262,plain,( 6.44/1.18 spl0_6), 6.44/1.18 inference(contradiction_clause,[status(thm)],[f261])). 6.44/1.18 fof(f263,plain,( 6.44/1.18 $false|~spl0_5), 6.44/1.18 inference(forward_subsumption_resolution,[status(thm)],[f228,f26])). 6.44/1.18 fof(f264,plain,( 6.44/1.18 ~spl0_5), 6.44/1.18 inference(contradiction_clause,[status(thm)],[f263])). 6.44/1.18 fof(f300,plain,( 6.44/1.18 spl0_10 <=> ~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|in(sk0_4(X2),sk0_17(X0,X1,sk0_0))|~element(sk0_5(X2),the_carrier(sk0_0))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f301,plain,( 6.44/1.18 ![X0,X1,X2]: (~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|in(sk0_4(X2),sk0_17(X0,X1,sk0_0))|~element(sk0_5(X2),the_carrier(sk0_0))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|~spl0_10)), 6.44/1.18 inference(component_clause,[status(thm)],[f300])). 6.44/1.18 fof(f303,plain,( 6.44/1.18 ![X0,X1,X2]: (empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|in(sk0_4(X2),sk0_17(X0,X1,sk0_0))|~element(sk0_5(X2),the_carrier(sk0_0))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2))), 6.44/1.18 inference(resolution,[status(thm)],[f215,f35])). 6.44/1.18 fof(f304,plain,( 6.44/1.18 spl0_5|~spl0_6|spl0_10|~spl0_8), 6.44/1.18 inference(split_clause,[status(thm)],[f303,f227,f230,f300,f236])). 6.44/1.18 fof(f329,plain,( 6.44/1.18 ![X0,X1,X2]: (~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|in(sk0_4(X2),sk0_17(X0,X1,sk0_0))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|~spl0_10)), 6.44/1.18 inference(forward_subsumption_resolution,[status(thm)],[f301,f33])). 6.44/1.18 fof(f396,plain,( 6.44/1.18 spl0_11 <=> ~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|sk0_4(X2)=sk0_18(sk0_4(X2),X0,X1,sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f397,plain,( 6.44/1.18 ![X0,X1,X2]: (~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|sk0_4(X2)=sk0_18(sk0_4(X2),X0,X1,sk0_0)|~spl0_11)), 6.44/1.18 inference(component_clause,[status(thm)],[f396])). 6.44/1.18 fof(f399,plain,( 6.44/1.18 ![X0,X1,X2]: (~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|sk0_4(X2)=sk0_18(sk0_4(X2),X0,X1,sk0_0)|~spl0_10)), 6.44/1.18 inference(resolution,[status(thm)],[f329,f175])). 6.44/1.18 fof(f400,plain,( 6.44/1.18 spl0_11|spl0_5|~spl0_6|~spl0_8|~spl0_10), 6.44/1.18 inference(split_clause,[status(thm)],[f399,f396,f227,f230,f236,f300])). 6.44/1.18 fof(f401,plain,( 6.44/1.18 spl0_12 <=> ~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|sk0_4(X2)=sk0_19(sk0_4(X2),X0,X1,sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f402,plain,( 6.44/1.18 ![X0,X1,X2]: (~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|sk0_4(X2)=sk0_19(sk0_4(X2),X0,X1,sk0_0)|~spl0_12)), 6.44/1.18 inference(component_clause,[status(thm)],[f401])). 6.44/1.18 fof(f404,plain,( 6.44/1.18 ![X0,X1,X2]: (~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|sk0_4(X2)=sk0_19(sk0_4(X2),X0,X1,sk0_0)|~spl0_10)), 6.44/1.18 inference(resolution,[status(thm)],[f329,f174])). 6.44/1.18 fof(f405,plain,( 6.44/1.18 spl0_12|spl0_5|~spl0_6|~spl0_8|~spl0_10), 6.44/1.18 inference(split_clause,[status(thm)],[f404,f401,f227,f230,f236,f300])). 6.44/1.18 fof(f406,plain,( 6.44/1.18 spl0_13 <=> ~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|sk0_4(X2)=sk0_19(sk0_4(X2),X0,X1,sk0_0)|sk0_14(X0,X1,sk0_0)=sk0_15(X0,X1,sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f409,plain,( 6.44/1.18 ![X0,X1,X2]: (~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|sk0_4(X2)=sk0_19(sk0_4(X2),X0,X1,sk0_0)|sk0_14(X0,X1,sk0_0)=sk0_15(X0,X1,sk0_0)|~spl0_10)), 6.44/1.18 inference(resolution,[status(thm)],[f329,f146])). 6.44/1.18 fof(f410,plain,( 6.44/1.18 spl0_13|spl0_5|~spl0_6|~spl0_8|~spl0_10), 6.44/1.18 inference(split_clause,[status(thm)],[f409,f406,f227,f230,f236,f300])). 6.44/1.18 fof(f411,plain,( 6.44/1.18 spl0_14 <=> ~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|sk0_4(X2)=sk0_18(sk0_4(X2),X0,X1,sk0_0)|sk0_14(X0,X1,sk0_0)=sk0_15(X0,X1,sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f414,plain,( 6.44/1.18 ![X0,X1,X2]: (~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|sk0_4(X2)=sk0_18(sk0_4(X2),X0,X1,sk0_0)|sk0_14(X0,X1,sk0_0)=sk0_15(X0,X1,sk0_0)|~spl0_10)), 6.44/1.18 inference(resolution,[status(thm)],[f329,f141])). 6.44/1.18 fof(f415,plain,( 6.44/1.18 spl0_14|spl0_5|~spl0_6|~spl0_8|~spl0_10), 6.44/1.18 inference(split_clause,[status(thm)],[f414,f411,f227,f230,f236,f300])). 6.44/1.18 fof(f416,plain,( 6.44/1.18 spl0_15 <=> ~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|pd0_0(sk0_16(X0,X1,sk0_0),sk0_15(X0,X1,sk0_0),sk0_14(X0,X1,sk0_0),X1,sk0_0)|sk0_4(X2)=sk0_19(sk0_4(X2),X0,X1,sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f419,plain,( 6.44/1.18 ![X0,X1,X2]: (~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_16(X0,X1,sk0_0),sk0_15(X0,X1,sk0_0),sk0_14(X0,X1,sk0_0),X1,sk0_0)|sk0_4(X2)=sk0_19(sk0_4(X2),X0,X1,sk0_0)|~spl0_10)), 6.44/1.18 inference(resolution,[status(thm)],[f329,f82])). 6.44/1.18 fof(f420,plain,( 6.44/1.18 spl0_15|spl0_5|~spl0_6|~spl0_8|~spl0_10), 6.44/1.18 inference(split_clause,[status(thm)],[f419,f416,f227,f230,f236,f300])). 6.44/1.18 fof(f421,plain,( 6.44/1.18 spl0_16 <=> ~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|pd0_0(sk0_16(X0,X1,sk0_0),sk0_15(X0,X1,sk0_0),sk0_14(X0,X1,sk0_0),X1,sk0_0)|sk0_4(X2)=sk0_18(sk0_4(X2),X0,X1,sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f424,plain,( 6.44/1.18 ![X0,X1,X2]: (~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_16(X0,X1,sk0_0),sk0_15(X0,X1,sk0_0),sk0_14(X0,X1,sk0_0),X1,sk0_0)|sk0_4(X2)=sk0_18(sk0_4(X2),X0,X1,sk0_0)|~spl0_10)), 6.44/1.18 inference(resolution,[status(thm)],[f329,f81])). 6.44/1.18 fof(f425,plain,( 6.44/1.18 spl0_16|spl0_5|~spl0_6|~spl0_8|~spl0_10), 6.44/1.18 inference(split_clause,[status(thm)],[f424,f421,f227,f230,f236,f300])). 6.44/1.18 fof(f441,plain,( 6.44/1.18 ![X0,X1,X2]: (~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|sk0_4(X2)=sk0_18(sk0_4(X2),X0,X1,sk0_0)|~spl0_11)), 6.44/1.18 inference(duplicate_literals_removal,[status(esa)],[f397])). 6.44/1.18 fof(f442,plain,( 6.44/1.18 ![X0,X1,X2]: (~element(X0,powerset(X1))|~finite(X0)|~element(X1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X2),X1)|~in(sk0_4(X2),powerset(X0))|sk0_16(X0,X1,sk0_0)=sk0_14(X0,X1,sk0_0)|in(sk0_3(X2),X2)|sk0_4(X2)=sk0_19(sk0_4(X2),X0,X1,sk0_0)|~spl0_12)), 6.44/1.18 inference(duplicate_literals_removal,[status(esa)],[f402])). 6.44/1.18 fof(f462,plain,( 6.44/1.18 spl0_20 <=> element(sk0_1,powerset(the_carrier(sk0_0)))), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f464,plain,( 6.44/1.18 ~element(sk0_1,powerset(the_carrier(sk0_0)))|spl0_20), 6.44/1.18 inference(component_clause,[status(thm)],[f462])). 6.44/1.18 fof(f465,plain,( 6.44/1.18 spl0_21 <=> ~in(sk0_5(X0),sk0_1)|~in(sk0_4(X0),powerset(sk0_2))|in(sk0_3(X0),X0)|sk0_4(X0)=sk0_18(sk0_4(X0),sk0_2,sk0_1,sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f468,plain,( 6.44/1.18 spl0_22 <=> sk0_16(sk0_2,sk0_1,sk0_0)=sk0_14(sk0_2,sk0_1,sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f469,plain,( 6.44/1.18 sk0_16(sk0_2,sk0_1,sk0_0)=sk0_14(sk0_2,sk0_1,sk0_0)|~spl0_22), 6.44/1.18 inference(component_clause,[status(thm)],[f468])). 6.44/1.18 fof(f471,plain,( 6.44/1.18 ![X0]: (~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X0),sk0_1)|~in(sk0_4(X0),powerset(sk0_2))|sk0_16(sk0_2,sk0_1,sk0_0)=sk0_14(sk0_2,sk0_1,sk0_0)|in(sk0_3(X0),X0)|sk0_4(X0)=sk0_18(sk0_4(X0),sk0_2,sk0_1,sk0_0)|~spl0_11)), 6.44/1.18 inference(resolution,[status(thm)],[f441,f29])). 6.44/1.18 fof(f472,plain,( 6.44/1.18 ~spl0_4|~spl0_20|spl0_21|spl0_22|~spl0_11), 6.44/1.18 inference(split_clause,[status(thm)],[f471,f131,f462,f465,f468,f396])). 6.44/1.18 fof(f473,plain,( 6.44/1.18 spl0_23 <=> ~element(X0,powerset(sk0_21(the_carrier(sk0_0))))|~finite(X0)|~in(sk0_5(X1),sk0_21(the_carrier(sk0_0)))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_21(the_carrier(sk0_0)),sk0_0)=sk0_14(X0,sk0_21(the_carrier(sk0_0)),sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_18(sk0_4(X1),X0,sk0_21(the_carrier(sk0_0)),sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f476,plain,( 6.44/1.18 spl0_24 <=> empty(the_carrier(sk0_0))), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f477,plain,( 6.44/1.18 empty(the_carrier(sk0_0))|~spl0_24), 6.44/1.18 inference(component_clause,[status(thm)],[f476])). 6.44/1.18 fof(f479,plain,( 6.44/1.18 ![X0,X1]: (~element(X0,powerset(sk0_21(the_carrier(sk0_0))))|~finite(X0)|~in(sk0_5(X1),sk0_21(the_carrier(sk0_0)))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_21(the_carrier(sk0_0)),sk0_0)=sk0_14(X0,sk0_21(the_carrier(sk0_0)),sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_18(sk0_4(X1),X0,sk0_21(the_carrier(sk0_0)),sk0_0)|empty(the_carrier(sk0_0))|~spl0_11)), 6.44/1.18 inference(resolution,[status(thm)],[f441,f91])). 6.44/1.18 fof(f480,plain,( 6.44/1.18 spl0_23|spl0_24|~spl0_11), 6.44/1.18 inference(split_clause,[status(thm)],[f479,f473,f476,f396])). 6.44/1.18 fof(f481,plain,( 6.44/1.18 spl0_25 <=> ~element(X0,powerset(sk0_13(sk0_0)))|~finite(X0)|~in(sk0_5(X1),sk0_13(sk0_0))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_13(sk0_0),sk0_0)=sk0_14(X0,sk0_13(sk0_0),sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_18(sk0_4(X1),X0,sk0_13(sk0_0),sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f484,plain,( 6.44/1.18 spl0_26 <=> one_sorted_str(sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f486,plain,( 6.44/1.18 ~one_sorted_str(sk0_0)|spl0_26), 6.44/1.18 inference(component_clause,[status(thm)],[f484])). 6.44/1.18 fof(f487,plain,( 6.44/1.18 ![X0,X1]: (~element(X0,powerset(sk0_13(sk0_0)))|~finite(X0)|~in(sk0_5(X1),sk0_13(sk0_0))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_13(sk0_0),sk0_0)=sk0_14(X0,sk0_13(sk0_0),sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_18(sk0_4(X1),X0,sk0_13(sk0_0),sk0_0)|empty_carrier(sk0_0)|~one_sorted_str(sk0_0)|~spl0_11)), 6.44/1.18 inference(resolution,[status(thm)],[f441,f71])). 6.44/1.18 fof(f488,plain,( 6.44/1.18 spl0_25|spl0_5|~spl0_26|~spl0_11), 6.44/1.18 inference(split_clause,[status(thm)],[f487,f481,f227,f484,f396])). 6.44/1.18 fof(f490,plain,( 6.44/1.18 spl0_27 <=> ~element(X0,powerset(sk0_9(the_carrier(sk0_0))))|~finite(X0)|~in(sk0_5(X1),sk0_9(the_carrier(sk0_0)))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_9(the_carrier(sk0_0)),sk0_0)=sk0_14(X0,sk0_9(the_carrier(sk0_0)),sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_18(sk0_4(X1),X0,sk0_9(the_carrier(sk0_0)),sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f493,plain,( 6.44/1.18 ![X0,X1]: (~element(X0,powerset(sk0_9(the_carrier(sk0_0))))|~finite(X0)|~in(sk0_5(X1),sk0_9(the_carrier(sk0_0)))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_9(the_carrier(sk0_0)),sk0_0)=sk0_14(X0,sk0_9(the_carrier(sk0_0)),sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_18(sk0_4(X1),X0,sk0_9(the_carrier(sk0_0)),sk0_0)|empty(the_carrier(sk0_0))|~spl0_11)), 6.44/1.18 inference(resolution,[status(thm)],[f441,f57])). 6.44/1.18 fof(f494,plain,( 6.44/1.18 spl0_27|spl0_24|~spl0_11), 6.44/1.18 inference(split_clause,[status(thm)],[f493,f490,f476,f396])). 6.44/1.18 fof(f495,plain,( 6.44/1.18 spl0_28 <=> ~element(X0,powerset(sk0_7(the_carrier(sk0_0))))|~finite(X0)|~in(sk0_5(X1),sk0_7(the_carrier(sk0_0)))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_7(the_carrier(sk0_0)),sk0_0)=sk0_14(X0,sk0_7(the_carrier(sk0_0)),sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_18(sk0_4(X1),X0,sk0_7(the_carrier(sk0_0)),sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f498,plain,( 6.44/1.18 ![X0,X1]: (~element(X0,powerset(sk0_7(the_carrier(sk0_0))))|~finite(X0)|~in(sk0_5(X1),sk0_7(the_carrier(sk0_0)))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_7(the_carrier(sk0_0)),sk0_0)=sk0_14(X0,sk0_7(the_carrier(sk0_0)),sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_18(sk0_4(X1),X0,sk0_7(the_carrier(sk0_0)),sk0_0)|empty(the_carrier(sk0_0))|~spl0_11)), 6.44/1.18 inference(resolution,[status(thm)],[f441,f44])). 6.44/1.18 fof(f499,plain,( 6.44/1.18 spl0_28|spl0_24|~spl0_11), 6.44/1.18 inference(split_clause,[status(thm)],[f498,f495,f476,f396])). 6.44/1.18 fof(f502,plain,( 6.44/1.18 spl0_29 <=> ~element(X0,powerset(sk0_1))|~finite(X0)|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_1,sk0_0)=sk0_14(X0,sk0_1,sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_18(sk0_4(X1),X0,sk0_1,sk0_0)|~in(X1,sk0_3(X1))), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f505,plain,( 6.44/1.18 ![X0,X1]: (~element(X0,powerset(sk0_1))|~finite(X0)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_1,sk0_0)=sk0_14(X0,sk0_1,sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_18(sk0_4(X1),X0,sk0_1,sk0_0)|~in(X1,sk0_3(X1))|~spl0_11)), 6.44/1.18 inference(resolution,[status(thm)],[f441,f160])). 6.44/1.18 fof(f506,plain,( 6.44/1.18 spl0_29|~spl0_20|~spl0_11), 6.44/1.18 inference(split_clause,[status(thm)],[f505,f502,f462,f396])). 6.44/1.18 fof(f507,plain,( 6.44/1.18 spl0_30 <=> ~element(X0,powerset(sk0_1))|~finite(X0)|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_1,sk0_0)=sk0_14(X0,sk0_1,sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_18(sk0_4(X1),X0,sk0_1,sk0_0)|in(sk0_3(X1),X1)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f510,plain,( 6.44/1.18 ![X0,X1]: (~element(X0,powerset(sk0_1))|~finite(X0)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_1,sk0_0)=sk0_14(X0,sk0_1,sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_18(sk0_4(X1),X0,sk0_1,sk0_0)|in(sk0_3(X1),X1)|~spl0_11)), 6.44/1.18 inference(resolution,[status(thm)],[f441,f34])). 6.44/1.18 fof(f511,plain,( 6.44/1.18 spl0_30|~spl0_20|~spl0_11), 6.44/1.18 inference(split_clause,[status(thm)],[f510,f507,f462,f396])). 6.44/1.18 fof(f525,plain,( 6.44/1.18 $false|spl0_20), 6.44/1.18 inference(forward_subsumption_resolution,[status(thm)],[f464,f31])). 6.44/1.18 fof(f526,plain,( 6.44/1.18 spl0_20), 6.44/1.18 inference(contradiction_clause,[status(thm)],[f525])). 6.44/1.18 fof(f527,plain,( 6.44/1.18 ~rel_str(sk0_0)|spl0_26), 6.44/1.18 inference(resolution,[status(thm)],[f486,f39])). 6.44/1.18 fof(f528,plain,( 6.44/1.18 ~spl0_6|spl0_26), 6.44/1.18 inference(split_clause,[status(thm)],[f527,f230,f484])). 6.44/1.18 fof(f529,plain,( 6.44/1.18 empty_carrier(sk0_0)|~one_sorted_str(sk0_0)|~spl0_24), 6.44/1.18 inference(resolution,[status(thm)],[f477,f50])). 6.44/1.18 fof(f530,plain,( 6.44/1.18 spl0_5|~spl0_26|~spl0_24), 6.44/1.18 inference(split_clause,[status(thm)],[f529,f227,f484,f476])). 6.44/1.18 fof(f585,plain,( 6.44/1.18 spl0_32 <=> ~in(sk0_5(X0),sk0_1)|~in(sk0_4(X0),powerset(sk0_2))|in(sk0_3(X0),X0)|sk0_4(X0)=sk0_19(sk0_4(X0),sk0_2,sk0_1,sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f588,plain,( 6.44/1.18 ![X0]: (~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~in(sk0_5(X0),sk0_1)|~in(sk0_4(X0),powerset(sk0_2))|sk0_16(sk0_2,sk0_1,sk0_0)=sk0_14(sk0_2,sk0_1,sk0_0)|in(sk0_3(X0),X0)|sk0_4(X0)=sk0_19(sk0_4(X0),sk0_2,sk0_1,sk0_0)|~spl0_12)), 6.44/1.18 inference(resolution,[status(thm)],[f442,f29])). 6.44/1.18 fof(f589,plain,( 6.44/1.18 ~spl0_4|~spl0_20|spl0_32|spl0_22|~spl0_12), 6.44/1.18 inference(split_clause,[status(thm)],[f588,f131,f462,f585,f468,f401])). 6.44/1.18 fof(f590,plain,( 6.44/1.18 spl0_33 <=> ~element(X0,powerset(sk0_21(the_carrier(sk0_0))))|~finite(X0)|~in(sk0_5(X1),sk0_21(the_carrier(sk0_0)))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_21(the_carrier(sk0_0)),sk0_0)=sk0_14(X0,sk0_21(the_carrier(sk0_0)),sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_19(sk0_4(X1),X0,sk0_21(the_carrier(sk0_0)),sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f593,plain,( 6.44/1.18 ![X0,X1]: (~element(X0,powerset(sk0_21(the_carrier(sk0_0))))|~finite(X0)|~in(sk0_5(X1),sk0_21(the_carrier(sk0_0)))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_21(the_carrier(sk0_0)),sk0_0)=sk0_14(X0,sk0_21(the_carrier(sk0_0)),sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_19(sk0_4(X1),X0,sk0_21(the_carrier(sk0_0)),sk0_0)|empty(the_carrier(sk0_0))|~spl0_12)), 6.44/1.18 inference(resolution,[status(thm)],[f442,f91])). 6.44/1.18 fof(f594,plain,( 6.44/1.18 spl0_33|spl0_24|~spl0_12), 6.44/1.18 inference(split_clause,[status(thm)],[f593,f590,f476,f401])). 6.44/1.18 fof(f595,plain,( 6.44/1.18 spl0_34 <=> ~element(X0,powerset(sk0_13(sk0_0)))|~finite(X0)|~in(sk0_5(X1),sk0_13(sk0_0))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_13(sk0_0),sk0_0)=sk0_14(X0,sk0_13(sk0_0),sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_19(sk0_4(X1),X0,sk0_13(sk0_0),sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f598,plain,( 6.44/1.18 ![X0,X1]: (~element(X0,powerset(sk0_13(sk0_0)))|~finite(X0)|~in(sk0_5(X1),sk0_13(sk0_0))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_13(sk0_0),sk0_0)=sk0_14(X0,sk0_13(sk0_0),sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_19(sk0_4(X1),X0,sk0_13(sk0_0),sk0_0)|empty_carrier(sk0_0)|~one_sorted_str(sk0_0)|~spl0_12)), 6.44/1.18 inference(resolution,[status(thm)],[f442,f71])). 6.44/1.18 fof(f599,plain,( 6.44/1.18 spl0_34|spl0_5|~spl0_26|~spl0_12), 6.44/1.18 inference(split_clause,[status(thm)],[f598,f595,f227,f484,f401])). 6.44/1.18 fof(f601,plain,( 6.44/1.18 spl0_35 <=> ~element(X0,powerset(sk0_9(the_carrier(sk0_0))))|~finite(X0)|~in(sk0_5(X1),sk0_9(the_carrier(sk0_0)))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_9(the_carrier(sk0_0)),sk0_0)=sk0_14(X0,sk0_9(the_carrier(sk0_0)),sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_19(sk0_4(X1),X0,sk0_9(the_carrier(sk0_0)),sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f604,plain,( 6.44/1.18 ![X0,X1]: (~element(X0,powerset(sk0_9(the_carrier(sk0_0))))|~finite(X0)|~in(sk0_5(X1),sk0_9(the_carrier(sk0_0)))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_9(the_carrier(sk0_0)),sk0_0)=sk0_14(X0,sk0_9(the_carrier(sk0_0)),sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_19(sk0_4(X1),X0,sk0_9(the_carrier(sk0_0)),sk0_0)|empty(the_carrier(sk0_0))|~spl0_12)), 6.44/1.18 inference(resolution,[status(thm)],[f442,f57])). 6.44/1.18 fof(f605,plain,( 6.44/1.18 spl0_35|spl0_24|~spl0_12), 6.44/1.18 inference(split_clause,[status(thm)],[f604,f601,f476,f401])). 6.44/1.18 fof(f606,plain,( 6.44/1.18 spl0_36 <=> ~element(X0,powerset(sk0_7(the_carrier(sk0_0))))|~finite(X0)|~in(sk0_5(X1),sk0_7(the_carrier(sk0_0)))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_7(the_carrier(sk0_0)),sk0_0)=sk0_14(X0,sk0_7(the_carrier(sk0_0)),sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_19(sk0_4(X1),X0,sk0_7(the_carrier(sk0_0)),sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f609,plain,( 6.44/1.18 ![X0,X1]: (~element(X0,powerset(sk0_7(the_carrier(sk0_0))))|~finite(X0)|~in(sk0_5(X1),sk0_7(the_carrier(sk0_0)))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_7(the_carrier(sk0_0)),sk0_0)=sk0_14(X0,sk0_7(the_carrier(sk0_0)),sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_19(sk0_4(X1),X0,sk0_7(the_carrier(sk0_0)),sk0_0)|empty(the_carrier(sk0_0))|~spl0_12)), 6.44/1.18 inference(resolution,[status(thm)],[f442,f44])). 6.44/1.18 fof(f610,plain,( 6.44/1.18 spl0_36|spl0_24|~spl0_12), 6.44/1.18 inference(split_clause,[status(thm)],[f609,f606,f476,f401])). 6.44/1.18 fof(f613,plain,( 6.44/1.18 spl0_37 <=> ~element(X0,powerset(sk0_1))|~finite(X0)|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_1,sk0_0)=sk0_14(X0,sk0_1,sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_19(sk0_4(X1),X0,sk0_1,sk0_0)|~in(X1,sk0_3(X1))), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f616,plain,( 6.44/1.18 ![X0,X1]: (~element(X0,powerset(sk0_1))|~finite(X0)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_1,sk0_0)=sk0_14(X0,sk0_1,sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_19(sk0_4(X1),X0,sk0_1,sk0_0)|~in(X1,sk0_3(X1))|~spl0_12)), 6.44/1.18 inference(resolution,[status(thm)],[f442,f160])). 6.44/1.18 fof(f617,plain,( 6.44/1.18 spl0_37|~spl0_20|~spl0_12), 6.44/1.18 inference(split_clause,[status(thm)],[f616,f613,f462,f401])). 6.44/1.18 fof(f618,plain,( 6.44/1.18 spl0_38 <=> ~element(X0,powerset(sk0_1))|~finite(X0)|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_1,sk0_0)=sk0_14(X0,sk0_1,sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_19(sk0_4(X1),X0,sk0_1,sk0_0)|in(sk0_3(X1),X1)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f621,plain,( 6.44/1.18 ![X0,X1]: (~element(X0,powerset(sk0_1))|~finite(X0)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~in(sk0_4(X1),powerset(X0))|sk0_16(X0,sk0_1,sk0_0)=sk0_14(X0,sk0_1,sk0_0)|in(sk0_3(X1),X1)|sk0_4(X1)=sk0_19(sk0_4(X1),X0,sk0_1,sk0_0)|in(sk0_3(X1),X1)|~spl0_12)), 6.44/1.18 inference(resolution,[status(thm)],[f442,f34])). 6.44/1.18 fof(f622,plain,( 6.44/1.18 spl0_38|~spl0_20|~spl0_12), 6.44/1.18 inference(split_clause,[status(thm)],[f621,f618,f462,f401])). 6.44/1.18 fof(f636,plain,( 6.44/1.18 spl0_39 <=> element(sk0_2,powerset(sk0_1))), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f638,plain,( 6.44/1.18 ~element(sk0_2,powerset(sk0_1))|spl0_39), 6.44/1.18 inference(component_clause,[status(thm)],[f636])). 6.44/1.18 fof(f639,plain,( 6.44/1.18 spl0_40 <=> pd0_0(sk0_14(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f640,plain,( 6.44/1.18 pd0_0(sk0_14(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_40), 6.44/1.18 inference(component_clause,[status(thm)],[f639])). 6.44/1.18 fof(f641,plain,( 6.44/1.18 ~pd0_0(sk0_14(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|spl0_40), 6.44/1.18 inference(component_clause,[status(thm)],[f639])). 6.44/1.18 fof(f642,plain,( 6.44/1.18 spl0_41 <=> sk0_3(sk0_17(sk0_2,sk0_1,sk0_0))=sk0_18(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f643,plain,( 6.44/1.18 sk0_3(sk0_17(sk0_2,sk0_1,sk0_0))=sk0_18(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|~spl0_41), 6.44/1.18 inference(component_clause,[status(thm)],[f642])). 6.44/1.18 fof(f645,plain,( 6.44/1.18 spl0_42 <=> in(sk0_5(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_1)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f647,plain,( 6.44/1.18 ~in(sk0_5(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_1)|spl0_42), 6.44/1.18 inference(component_clause,[status(thm)],[f645])). 6.44/1.18 fof(f650,plain,( 6.44/1.18 spl0_43 <=> in(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),powerset(sk0_2))), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f655,plain,( 6.44/1.18 spl0_44 <=> in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|~element(X1,the_carrier(sk0_0))|~relstr_set_smaller(sk0_0,X0,X1)|~in(X1,sk0_1)|~in(X0,powerset(sk0_2))), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f658,plain,( 6.44/1.18 ![X0,X1]: (empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_14(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|~element(X1,the_carrier(sk0_0))|~relstr_set_smaller(sk0_0,X0,X1)|~in(X1,sk0_1)|~in(X0,powerset(sk0_2))|~spl0_22)), 6.44/1.18 inference(paramodulation,[status(thm)],[f469,f107])). 6.44/1.18 fof(f659,plain,( 6.44/1.18 spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_40|spl0_44|~spl0_22), 6.44/1.18 inference(split_clause,[status(thm)],[f658,f227,f230,f636,f131,f462,f236,f639,f655,f468])). 6.44/1.18 fof(f660,plain,( 6.44/1.18 spl0_45 <=> ~in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|in(sk0_20(X0,sk0_2,sk0_1,sk0_0),sk0_1)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f661,plain,( 6.44/1.18 ![X0]: (~in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|in(sk0_20(X0,sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_45)), 6.44/1.18 inference(component_clause,[status(thm)],[f660])). 6.44/1.18 fof(f663,plain,( 6.44/1.18 ![X0]: (empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_14(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|in(sk0_20(X0,sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_22)), 6.44/1.18 inference(paramodulation,[status(thm)],[f469,f85])). 6.44/1.18 fof(f664,plain,( 6.44/1.18 spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_40|spl0_45|~spl0_22), 6.44/1.18 inference(split_clause,[status(thm)],[f663,f227,f230,f636,f131,f462,f236,f639,f660,f468])). 6.44/1.18 fof(f665,plain,( 6.44/1.18 spl0_46 <=> ~in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|relstr_set_smaller(sk0_0,sk0_19(X0,sk0_2,sk0_1,sk0_0),sk0_20(X0,sk0_2,sk0_1,sk0_0))), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f668,plain,( 6.44/1.18 ![X0]: (empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_14(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|relstr_set_smaller(sk0_0,sk0_19(X0,sk0_2,sk0_1,sk0_0),sk0_20(X0,sk0_2,sk0_1,sk0_0))|~spl0_22)), 6.44/1.18 inference(paramodulation,[status(thm)],[f469,f84])). 6.44/1.18 fof(f669,plain,( 6.44/1.18 spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_40|spl0_46|~spl0_22), 6.44/1.18 inference(split_clause,[status(thm)],[f668,f227,f230,f636,f131,f462,f236,f639,f665,f468])). 6.44/1.18 fof(f670,plain,( 6.44/1.18 spl0_47 <=> ~in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|in(sk0_18(X0,sk0_2,sk0_1,sk0_0),powerset(sk0_2))), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f673,plain,( 6.44/1.18 ![X0]: (empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_14(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|in(sk0_18(X0,sk0_2,sk0_1,sk0_0),powerset(sk0_2))|~spl0_22)), 6.44/1.18 inference(paramodulation,[status(thm)],[f469,f86])). 6.44/1.18 fof(f674,plain,( 6.44/1.18 spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_40|spl0_47|~spl0_22), 6.44/1.18 inference(split_clause,[status(thm)],[f673,f227,f230,f636,f131,f462,f236,f639,f670,f468])). 6.44/1.18 fof(f675,plain,( 6.44/1.18 spl0_48 <=> ~in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|element(sk0_20(X0,sk0_2,sk0_1,sk0_0),the_carrier(sk0_0))), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f678,plain,( 6.44/1.18 ![X0]: (empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_14(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|element(sk0_20(X0,sk0_2,sk0_1,sk0_0),the_carrier(sk0_0))|~spl0_22)), 6.44/1.18 inference(paramodulation,[status(thm)],[f469,f83])). 6.44/1.18 fof(f679,plain,( 6.44/1.18 spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_40|spl0_48|~spl0_22), 6.44/1.18 inference(split_clause,[status(thm)],[f678,f227,f230,f636,f131,f462,f236,f639,f675,f468])). 6.44/1.18 fof(f680,plain,( 6.44/1.18 spl0_49 <=> ~in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|X0=sk0_19(X0,sk0_2,sk0_1,sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f681,plain,( 6.44/1.18 ![X0]: (~in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|X0=sk0_19(X0,sk0_2,sk0_1,sk0_0)|~spl0_49)), 6.44/1.18 inference(component_clause,[status(thm)],[f680])). 6.44/1.18 fof(f683,plain,( 6.44/1.18 ![X0]: (empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_14(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|X0=sk0_19(X0,sk0_2,sk0_1,sk0_0)|~spl0_22)), 6.44/1.18 inference(paramodulation,[status(thm)],[f469,f82])). 6.44/1.18 fof(f684,plain,( 6.44/1.18 spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_40|spl0_49|~spl0_22), 6.44/1.18 inference(split_clause,[status(thm)],[f683,f227,f230,f636,f131,f462,f236,f639,f680,f468])). 6.44/1.18 fof(f685,plain,( 6.44/1.18 spl0_50 <=> ~in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|X0=sk0_18(X0,sk0_2,sk0_1,sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f686,plain,( 6.44/1.18 ![X0]: (~in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|X0=sk0_18(X0,sk0_2,sk0_1,sk0_0)|~spl0_50)), 6.44/1.18 inference(component_clause,[status(thm)],[f685])). 6.44/1.18 fof(f688,plain,( 6.44/1.18 ![X0]: (empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_14(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|X0=sk0_18(X0,sk0_2,sk0_1,sk0_0)|~spl0_22)), 6.44/1.18 inference(paramodulation,[status(thm)],[f469,f81])). 6.44/1.18 fof(f689,plain,( 6.44/1.18 spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_40|spl0_50|~spl0_22), 6.44/1.18 inference(split_clause,[status(thm)],[f688,f227,f230,f636,f131,f462,f236,f639,f685,f468])). 6.44/1.18 fof(f690,plain,( 6.44/1.18 $false|spl0_39), 6.44/1.18 inference(forward_subsumption_resolution,[status(thm)],[f638,f29])). 6.44/1.18 fof(f691,plain,( 6.44/1.18 spl0_39), 6.44/1.18 inference(contradiction_clause,[status(thm)],[f690])). 6.44/1.18 fof(f694,plain,( 6.44/1.18 sk0_14(sk0_2,sk0_1,sk0_0)=sk0_15(sk0_2,sk0_1,sk0_0)|~spl0_40), 6.44/1.18 inference(resolution,[status(thm)],[f640,f95])). 6.44/1.18 fof(f695,plain,( 6.44/1.18 pd0_0(sk0_14(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_40), 6.44/1.18 inference(backward_demodulation,[status(thm)],[f694,f640])). 6.44/1.18 fof(f696,plain,( 6.44/1.18 $false|~spl0_40), 6.44/1.18 inference(forward_subsumption_resolution,[status(thm)],[f695,f108])). 6.44/1.18 fof(f697,plain,( 6.44/1.18 ~spl0_40), 6.44/1.18 inference(contradiction_clause,[status(thm)],[f696])). 6.44/1.18 fof(f704,plain,( 6.44/1.18 spl0_51 <=> sk0_3(sk0_17(sk0_2,sk0_1,sk0_0))=sk0_19(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f705,plain,( 6.44/1.18 sk0_3(sk0_17(sk0_2,sk0_1,sk0_0))=sk0_19(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|~spl0_51), 6.44/1.18 inference(component_clause,[status(thm)],[f704])). 6.44/1.18 fof(f742,plain,( 6.44/1.18 sk0_3(sk0_17(sk0_2,sk0_1,sk0_0))=sk0_19(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|in(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),powerset(sk0_2))|~spl0_49), 6.44/1.18 inference(resolution,[status(thm)],[f681,f36])). 6.44/1.18 fof(f743,plain,( 6.44/1.18 spl0_51|spl0_43|~spl0_49), 6.44/1.18 inference(split_clause,[status(thm)],[f742,f704,f650,f680])). 6.44/1.18 fof(f744,plain,( 6.44/1.18 sk0_3(sk0_17(sk0_2,sk0_1,sk0_0))=sk0_19(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|in(sk0_5(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_1)|~spl0_49), 6.44/1.18 inference(resolution,[status(thm)],[f681,f34])). 6.44/1.18 fof(f745,plain,( 6.44/1.18 spl0_51|spl0_42|~spl0_49), 6.44/1.18 inference(split_clause,[status(thm)],[f744,f704,f645,f680])). 6.44/1.18 fof(f746,plain,( 6.44/1.18 spl0_59 <=> element(sk0_5(sk0_17(sk0_2,sk0_1,sk0_0)),the_carrier(sk0_0))), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f748,plain,( 6.44/1.18 ~element(sk0_5(sk0_17(sk0_2,sk0_1,sk0_0)),the_carrier(sk0_0))|spl0_59), 6.44/1.18 inference(component_clause,[status(thm)],[f746])). 6.44/1.18 fof(f749,plain,( 6.44/1.18 sk0_3(sk0_17(sk0_2,sk0_1,sk0_0))=sk0_19(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|element(sk0_5(sk0_17(sk0_2,sk0_1,sk0_0)),the_carrier(sk0_0))|~spl0_49), 6.44/1.18 inference(resolution,[status(thm)],[f681,f33])). 6.44/1.18 fof(f750,plain,( 6.44/1.18 spl0_51|spl0_59|~spl0_49), 6.44/1.18 inference(split_clause,[status(thm)],[f749,f704,f746,f680])). 6.44/1.18 fof(f756,plain,( 6.44/1.18 spl0_61 <=> X0=sk0_19(X0,sk0_2,sk0_1,sk0_0)|~element(X1,the_carrier(sk0_0))|~relstr_set_smaller(sk0_0,X0,X1)|~in(X1,sk0_1)|~in(X0,powerset(sk0_2))), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f759,plain,( 6.44/1.18 ![X0,X1]: (X0=sk0_19(X0,sk0_2,sk0_1,sk0_0)|empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|~element(X1,the_carrier(sk0_0))|~relstr_set_smaller(sk0_0,X0,X1)|~in(X1,sk0_1)|~in(X0,powerset(sk0_2))|sk0_16(sk0_2,sk0_1,sk0_0)=sk0_14(sk0_2,sk0_1,sk0_0)|~spl0_49)), 6.44/1.18 inference(resolution,[status(thm)],[f681,f215])). 6.44/1.18 fof(f760,plain,( 6.44/1.18 spl0_61|spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_22|~spl0_49), 6.44/1.18 inference(split_clause,[status(thm)],[f759,f756,f227,f230,f636,f131,f462,f236,f468,f680])). 6.44/1.18 fof(f761,plain,( 6.44/1.18 spl0_62 <=> pd0_0(sk0_16(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f762,plain,( 6.44/1.18 pd0_0(sk0_16(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_62), 6.44/1.18 inference(component_clause,[status(thm)],[f761])). 6.44/1.18 fof(f764,plain,( 6.44/1.18 ![X0,X1]: (X0=sk0_19(X0,sk0_2,sk0_1,sk0_0)|empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_16(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~element(X1,the_carrier(sk0_0))|~relstr_set_smaller(sk0_0,X0,X1)|~in(X1,sk0_1)|~in(X0,powerset(sk0_2))|~spl0_49)), 6.44/1.18 inference(resolution,[status(thm)],[f681,f107])). 6.44/1.18 fof(f765,plain,( 6.44/1.18 spl0_61|spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_62|~spl0_49), 6.44/1.18 inference(split_clause,[status(thm)],[f764,f756,f227,f230,f636,f131,f462,f236,f761,f680])). 6.44/1.18 fof(f800,plain,( 6.44/1.18 spl0_63 <=> X0=sk0_18(X0,sk0_2,sk0_1,sk0_0)|~element(X1,the_carrier(sk0_0))|~relstr_set_smaller(sk0_0,X0,X1)|~in(X1,sk0_1)|~in(X0,powerset(sk0_2))), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f805,plain,( 6.44/1.18 ![X0,X1]: (X0=sk0_18(X0,sk0_2,sk0_1,sk0_0)|empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_16(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~element(X1,the_carrier(sk0_0))|~relstr_set_smaller(sk0_0,X0,X1)|~in(X1,sk0_1)|~in(X0,powerset(sk0_2))|~spl0_50)), 6.44/1.18 inference(resolution,[status(thm)],[f686,f107])). 6.44/1.18 fof(f806,plain,( 6.44/1.18 spl0_63|spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_62|~spl0_50), 6.44/1.18 inference(split_clause,[status(thm)],[f805,f800,f227,f230,f636,f131,f462,f236,f761,f685])). 6.44/1.18 fof(f811,plain,( 6.44/1.18 spl0_64 <=> in(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_17(sk0_2,sk0_1,sk0_0))), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f812,plain,( 6.44/1.18 in(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_17(sk0_2,sk0_1,sk0_0))|~spl0_64), 6.44/1.18 inference(component_clause,[status(thm)],[f811])). 6.44/1.18 fof(f813,plain,( 6.44/1.18 ~in(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_17(sk0_2,sk0_1,sk0_0))|spl0_64), 6.44/1.18 inference(component_clause,[status(thm)],[f811])). 6.44/1.18 fof(f814,plain,( 6.44/1.18 empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_16(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~in(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_17(sk0_2,sk0_1,sk0_0))|in(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),powerset(sk0_2))|~spl0_41), 6.44/1.18 inference(paramodulation,[status(thm)],[f643,f86])). 6.44/1.18 fof(f815,plain,( 6.44/1.18 spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_62|~spl0_64|spl0_43|~spl0_41), 6.44/1.18 inference(split_clause,[status(thm)],[f814,f227,f230,f636,f131,f462,f236,f761,f811,f650,f642])). 6.44/1.18 fof(f816,plain,( 6.44/1.18 pd0_0(sk0_14(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_22|~spl0_62), 6.44/1.18 inference(forward_demodulation,[status(thm)],[f469,f762])). 6.44/1.18 fof(f817,plain,( 6.44/1.18 $false|spl0_40|~spl0_22|~spl0_62), 6.44/1.18 inference(forward_subsumption_resolution,[status(thm)],[f816,f641])). 6.44/1.18 fof(f818,plain,( 6.44/1.18 spl0_40|~spl0_22|~spl0_62), 6.44/1.18 inference(contradiction_clause,[status(thm)],[f817])). 6.44/1.18 fof(f833,plain,( 6.44/1.18 $false|spl0_4), 6.44/1.18 inference(forward_subsumption_resolution,[status(thm)],[f133,f30])). 6.44/1.18 fof(f834,plain,( 6.44/1.18 spl0_4), 6.44/1.18 inference(contradiction_clause,[status(thm)],[f833])). 6.44/1.18 fof(f840,plain,( 6.44/1.18 in(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),powerset(sk0_2))|spl0_64), 6.44/1.18 inference(resolution,[status(thm)],[f813,f36])). 6.44/1.18 fof(f841,plain,( 6.44/1.18 in(sk0_5(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_1)|spl0_64), 6.44/1.18 inference(resolution,[status(thm)],[f813,f34])). 6.44/1.18 fof(f842,plain,( 6.44/1.18 element(sk0_5(sk0_17(sk0_2,sk0_1,sk0_0)),the_carrier(sk0_0))|spl0_64), 6.44/1.18 inference(resolution,[status(thm)],[f813,f33])). 6.44/1.18 fof(f843,plain,( 6.44/1.18 sk0_4(sk0_17(sk0_2,sk0_1,sk0_0))=sk0_3(sk0_17(sk0_2,sk0_1,sk0_0))|spl0_64), 6.44/1.18 inference(resolution,[status(thm)],[f813,f32])). 6.44/1.18 fof(f844,plain,( 6.44/1.18 spl0_65 <=> ~element(X0,the_carrier(sk0_0))|~relstr_set_smaller(sk0_0,sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),X0)|~in(X0,sk0_1)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f845,plain,( 6.44/1.18 ![X0]: (~element(X0,the_carrier(sk0_0))|~relstr_set_smaller(sk0_0,sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),X0)|~in(X0,sk0_1)|~spl0_65)), 6.44/1.18 inference(component_clause,[status(thm)],[f844])). 6.44/1.18 fof(f847,plain,( 6.44/1.18 ![X0]: (empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|~element(X0,the_carrier(sk0_0))|~relstr_set_smaller(sk0_0,sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),X0)|~in(X0,sk0_1)|~in(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),powerset(sk0_2))|sk0_16(sk0_2,sk0_1,sk0_0)=sk0_14(sk0_2,sk0_1,sk0_0)|spl0_64)), 6.44/1.18 inference(resolution,[status(thm)],[f813,f215])). 6.44/1.18 fof(f848,plain,( 6.44/1.18 spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_65|~spl0_43|spl0_22|spl0_64), 6.44/1.18 inference(split_clause,[status(thm)],[f847,f227,f230,f636,f131,f462,f236,f844,f650,f468,f811])). 6.44/1.18 fof(f849,plain,( 6.44/1.18 ![X0]: (empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_16(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~element(X0,the_carrier(sk0_0))|~relstr_set_smaller(sk0_0,sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),X0)|~in(X0,sk0_1)|~in(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),powerset(sk0_2))|spl0_64)), 6.44/1.18 inference(resolution,[status(thm)],[f813,f107])). 6.44/1.18 fof(f850,plain,( 6.44/1.18 spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_62|spl0_65|~spl0_43|spl0_64), 6.44/1.18 inference(split_clause,[status(thm)],[f849,f227,f230,f636,f131,f462,f236,f761,f844,f650,f811])). 6.44/1.18 fof(f961,plain,( 6.44/1.18 spl0_66 <=> relstr_set_smaller(sk0_0,sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_20(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f962,plain,( 6.44/1.18 relstr_set_smaller(sk0_0,sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_20(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))|~spl0_66), 6.44/1.18 inference(component_clause,[status(thm)],[f961])). 6.44/1.18 fof(f964,plain,( 6.44/1.18 empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_16(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~in(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_17(sk0_2,sk0_1,sk0_0))|relstr_set_smaller(sk0_0,sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_20(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))|~spl0_51), 6.44/1.18 inference(paramodulation,[status(thm)],[f705,f84])). 6.44/1.18 fof(f965,plain,( 6.44/1.18 spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_62|~spl0_64|spl0_66|~spl0_51), 6.44/1.18 inference(split_clause,[status(thm)],[f964,f227,f230,f636,f131,f462,f236,f761,f811,f961,f704])). 6.44/1.18 fof(f974,plain,( 6.44/1.18 spl0_43|spl0_64), 6.44/1.18 inference(split_clause,[status(thm)],[f840,f650,f811])). 6.44/1.18 fof(f1029,plain,( 6.44/1.18 spl0_74 <=> relstr_set_smaller(sk0_0,sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_5(sk0_17(sk0_2,sk0_1,sk0_0)))), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f1030,plain,( 6.44/1.18 relstr_set_smaller(sk0_0,sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_5(sk0_17(sk0_2,sk0_1,sk0_0)))|~spl0_74), 6.44/1.18 inference(component_clause,[status(thm)],[f1029])). 6.44/1.18 fof(f1032,plain,( 6.44/1.18 in(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_17(sk0_2,sk0_1,sk0_0))|relstr_set_smaller(sk0_0,sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_5(sk0_17(sk0_2,sk0_1,sk0_0)))|spl0_64), 6.44/1.18 inference(paramodulation,[status(thm)],[f843,f35])). 6.44/1.18 fof(f1033,plain,( 6.44/1.18 spl0_64|spl0_74), 6.44/1.18 inference(split_clause,[status(thm)],[f1032,f811,f1029])). 6.44/1.18 fof(f1094,plain,( 6.44/1.18 $false|spl0_64|spl0_59), 6.44/1.18 inference(forward_subsumption_resolution,[status(thm)],[f748,f842])). 6.44/1.18 fof(f1095,plain,( 6.44/1.18 spl0_64|spl0_59), 6.44/1.18 inference(contradiction_clause,[status(thm)],[f1094])). 6.44/1.18 fof(f1096,plain,( 6.44/1.18 ~element(sk0_5(sk0_17(sk0_2,sk0_1,sk0_0)),the_carrier(sk0_0))|~in(sk0_5(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_1)|~spl0_65|~spl0_74), 6.44/1.18 inference(resolution,[status(thm)],[f845,f1030])). 6.44/1.18 fof(f1097,plain,( 6.44/1.18 ~spl0_59|~spl0_42|~spl0_65|~spl0_74), 6.44/1.18 inference(split_clause,[status(thm)],[f1096,f746,f645,f844,f1029])). 6.44/1.18 fof(f1098,plain,( 6.44/1.18 $false|spl0_64|spl0_42), 6.44/1.18 inference(forward_subsumption_resolution,[status(thm)],[f647,f841])). 6.44/1.18 fof(f1099,plain,( 6.44/1.18 spl0_64|spl0_42), 6.44/1.18 inference(contradiction_clause,[status(thm)],[f1098])). 6.44/1.18 fof(f1136,plain,( 6.44/1.18 ![X0]: (~element(X0,the_carrier(sk0_0))|~in(X0,sk0_1)|~relstr_set_smaller(sk0_0,sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),X0)|~in(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),powerset(sk0_2))|~spl0_64)), 6.44/1.18 inference(resolution,[status(thm)],[f812,f106])). 6.44/1.18 fof(f1137,plain,( 6.44/1.18 spl0_65|~spl0_43|~spl0_64), 6.44/1.18 inference(split_clause,[status(thm)],[f1136,f844,f650,f811])). 6.44/1.18 fof(f1139,plain,( 6.44/1.18 sk0_3(sk0_17(sk0_2,sk0_1,sk0_0))=sk0_19(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|~spl0_64|~spl0_49), 6.44/1.18 inference(resolution,[status(thm)],[f812,f681])). 6.44/1.18 fof(f1140,plain,( 6.44/1.18 spl0_51|~spl0_64|~spl0_49), 6.44/1.18 inference(split_clause,[status(thm)],[f1139,f704,f811,f680])). 6.44/1.18 fof(f1141,plain,( 6.44/1.18 sk0_16(sk0_2,sk0_1,sk0_0)=sk0_14(sk0_2,sk0_1,sk0_0)|empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|sk0_3(sk0_17(sk0_2,sk0_1,sk0_0))=sk0_18(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|~spl0_64), 6.44/1.18 inference(resolution,[status(thm)],[f812,f175])). 6.44/1.18 fof(f1142,plain,( 6.44/1.18 spl0_22|spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_41|~spl0_64), 6.44/1.18 inference(split_clause,[status(thm)],[f1141,f468,f227,f230,f636,f131,f462,f236,f642,f811])). 6.44/1.18 fof(f1143,plain,( 6.44/1.18 sk0_16(sk0_2,sk0_1,sk0_0)=sk0_14(sk0_2,sk0_1,sk0_0)|empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|sk0_3(sk0_17(sk0_2,sk0_1,sk0_0))=sk0_19(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|~spl0_64), 6.44/1.18 inference(resolution,[status(thm)],[f812,f174])). 6.44/1.18 fof(f1144,plain,( 6.44/1.18 spl0_22|spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_51|~spl0_64), 6.44/1.18 inference(split_clause,[status(thm)],[f1143,f468,f227,f230,f636,f131,f462,f236,f704,f811])). 6.44/1.18 fof(f1145,plain,( 6.44/1.18 spl0_77 <=> sk0_14(sk0_2,sk0_1,sk0_0)=sk0_15(sk0_2,sk0_1,sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f1146,plain,( 6.44/1.18 sk0_14(sk0_2,sk0_1,sk0_0)=sk0_15(sk0_2,sk0_1,sk0_0)|~spl0_77), 6.44/1.18 inference(component_clause,[status(thm)],[f1145])). 6.44/1.18 fof(f1154,plain,( 6.44/1.18 empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_16(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|sk0_3(sk0_17(sk0_2,sk0_1,sk0_0))=sk0_18(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|~spl0_64), 6.44/1.18 inference(resolution,[status(thm)],[f812,f81])). 6.44/1.18 fof(f1155,plain,( 6.44/1.18 spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_62|spl0_41|~spl0_64), 6.44/1.18 inference(split_clause,[status(thm)],[f1154,f227,f230,f636,f131,f462,f236,f761,f642,f811])). 6.44/1.18 fof(f1160,plain,( 6.44/1.18 spl0_78 <=> pd0_0(sk0_16(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)), 6.44/1.18 introduced(split_symbol_definition)). 6.44/1.18 fof(f1161,plain,( 6.44/1.18 pd0_0(sk0_16(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_78), 6.44/1.18 inference(component_clause,[status(thm)],[f1160])). 6.44/1.18 fof(f1183,plain,( 6.44/1.18 ![X0]: (empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_16(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_17(sk0_2,sk0_1,sk0_0))|X0=sk0_19(X0,sk0_2,sk0_1,sk0_0)|~spl0_77)), 6.44/1.18 inference(paramodulation,[status(thm)],[f1146,f82])). 6.44/1.18 fof(f1184,plain,( 6.44/1.18 spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_78|spl0_49|~spl0_77), 6.44/1.18 inference(split_clause,[status(thm)],[f1183,f227,f230,f636,f131,f462,f236,f1160,f680,f1145])). 6.44/1.20 fof(f1187,plain,( 6.44/1.20 pd0_0(sk0_14(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_22|~spl0_78), 6.44/1.20 inference(forward_demodulation,[status(thm)],[f469,f1161])). 6.44/1.20 fof(f1188,plain,( 6.44/1.20 $false|~spl0_22|~spl0_78), 6.44/1.20 inference(forward_subsumption_resolution,[status(thm)],[f1187,f108])). 6.44/1.20 fof(f1189,plain,( 6.44/1.20 ~spl0_22|~spl0_78), 6.44/1.20 inference(contradiction_clause,[status(thm)],[f1188])). 6.44/1.20 fof(f1629,plain,( 6.44/1.20 spl0_123 <=> element(sk0_20(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),the_carrier(sk0_0))), 6.44/1.20 introduced(split_symbol_definition)). 6.44/1.20 fof(f1631,plain,( 6.44/1.20 ~element(sk0_20(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),the_carrier(sk0_0))|spl0_123), 6.44/1.20 inference(component_clause,[status(thm)],[f1629])). 6.44/1.20 fof(f1632,plain,( 6.44/1.20 spl0_124 <=> in(sk0_20(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)), 6.44/1.20 introduced(split_symbol_definition)). 6.44/1.20 fof(f1634,plain,( 6.44/1.20 ~in(sk0_20(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|spl0_124), 6.44/1.20 inference(component_clause,[status(thm)],[f1632])). 6.44/1.20 fof(f1635,plain,( 6.44/1.20 ~element(sk0_20(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),the_carrier(sk0_0))|~in(sk0_20(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_66|~spl0_65), 6.44/1.20 inference(resolution,[status(thm)],[f962,f845])). 6.44/1.20 fof(f1636,plain,( 6.44/1.20 ~spl0_123|~spl0_124|~spl0_66|~spl0_65), 6.44/1.20 inference(split_clause,[status(thm)],[f1635,f1629,f1632,f961,f844])). 6.44/1.20 fof(f1657,plain,( 6.44/1.20 ~in(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_17(sk0_2,sk0_1,sk0_0))|spl0_124|~spl0_45), 6.44/1.20 inference(resolution,[status(thm)],[f1634,f661])). 6.44/1.20 fof(f1658,plain,( 6.44/1.20 ~spl0_64|spl0_124|~spl0_45), 6.44/1.20 inference(split_clause,[status(thm)],[f1657,f811,f1632,f660])). 6.44/1.20 fof(f1659,plain,( 6.44/1.20 empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|~in(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_17(sk0_2,sk0_1,sk0_0))|sk0_16(sk0_2,sk0_1,sk0_0)=sk0_14(sk0_2,sk0_1,sk0_0)|spl0_124), 6.44/1.20 inference(resolution,[status(thm)],[f1634,f197])). 6.44/1.20 fof(f1660,plain,( 6.44/1.20 spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|~spl0_64|spl0_22|spl0_124), 6.44/1.20 inference(split_clause,[status(thm)],[f1659,f227,f230,f636,f131,f462,f236,f811,f468,f1632])). 6.44/1.20 fof(f1671,plain,( 6.44/1.20 empty_carrier(sk0_0)|~rel_str(sk0_0)|~element(sk0_2,powerset(sk0_1))|~finite(sk0_2)|~element(sk0_1,powerset(the_carrier(sk0_0)))|~transitive_relstr(sk0_0)|pd0_0(sk0_16(sk0_2,sk0_1,sk0_0),sk0_15(sk0_2,sk0_1,sk0_0),sk0_14(sk0_2,sk0_1,sk0_0),sk0_1,sk0_0)|~in(sk0_3(sk0_17(sk0_2,sk0_1,sk0_0)),sk0_17(sk0_2,sk0_1,sk0_0))|spl0_123), 6.44/1.20 inference(resolution,[status(thm)],[f1631,f83])). 6.44/1.20 fof(f1672,plain,( 6.44/1.20 spl0_5|~spl0_6|~spl0_39|~spl0_4|~spl0_20|~spl0_8|spl0_62|~spl0_64|spl0_123), 6.44/1.20 inference(split_clause,[status(thm)],[f1671,f227,f230,f636,f131,f462,f236,f761,f811,f1629])). 6.44/1.20 fof(f1720,plain,( 6.44/1.20 sk0_16(sk0_2,sk0_1,sk0_0)=sk0_14(sk0_2,sk0_1,sk0_0)|~spl0_62), 6.44/1.20 inference(resolution,[status(thm)],[f762,f96])). 6.44/1.20 fof(f1721,plain,( 6.44/1.20 spl0_22|~spl0_62), 6.44/1.20 inference(split_clause,[status(thm)],[f1720,f468,f761])). 6.44/1.20 fof(f1724,plain,( 6.44/1.20 $false), 6.44/1.20 inference(sat_refutation,[status(thm)],[f119,f189,f240,f260,f262,f264,f304,f400,f405,f410,f415,f420,f425,f472,f480,f488,f494,f499,f506,f511,f526,f528,f530,f589,f594,f599,f605,f610,f617,f622,f659,f664,f669,f674,f679,f684,f689,f691,f697,f743,f745,f750,f760,f765,f806,f815,f818,f834,f848,f850,f965,f974,f1033,f1095,f1097,f1099,f1137,f1140,f1142,f1144,f1155,f1184,f1189,f1636,f1658,f1660,f1672,f1721])). 6.44/1.20 % SZS output end CNFRefutation for theBenchmark.p 6.67/1.23 % Elapsed time: 0.886090 seconds 6.67/1.23 % CPU time: 6.755359 seconds 6.67/1.23 % Memory used: 229.570 MB 6.67/1.23 EOF