TSTP Solution File: SEU329+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SEU329+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 13:31:01 EDT 2022
% Result : Timeout 300.06s 300.41s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU329+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 09:09:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/0.98 ============================== Prover9 ===============================
% 0.70/0.98 Prover9 (32) version 2009-11A, November 2009.
% 0.70/0.98 Process 27885 was started by sandbox on n016.cluster.edu,
% 0.70/0.98 Mon Jun 20 09:09:25 2022
% 0.70/0.98 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_27731_n016.cluster.edu".
% 0.70/0.98 ============================== end of head ===========================
% 0.70/0.98
% 0.70/0.98 ============================== INPUT =================================
% 0.70/0.98
% 0.70/0.98 % Reading from file /tmp/Prover9_27731_n016.cluster.edu
% 0.70/0.98
% 0.70/0.98 set(prolog_style_variables).
% 0.70/0.98 set(auto2).
% 0.70/0.98 % set(auto2) -> set(auto).
% 0.70/0.98 % set(auto) -> set(auto_inference).
% 0.70/0.98 % set(auto) -> set(auto_setup).
% 0.70/0.98 % set(auto_setup) -> set(predicate_elim).
% 0.70/0.98 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.70/0.98 % set(auto) -> set(auto_limits).
% 0.70/0.98 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.70/0.98 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.70/0.98 % set(auto) -> set(auto_denials).
% 0.70/0.98 % set(auto) -> set(auto_process).
% 0.70/0.98 % set(auto2) -> assign(new_constants, 1).
% 0.70/0.98 % set(auto2) -> assign(fold_denial_max, 3).
% 0.70/0.98 % set(auto2) -> assign(max_weight, "200.000").
% 0.70/0.98 % set(auto2) -> assign(max_hours, 1).
% 0.70/0.98 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.70/0.98 % set(auto2) -> assign(max_seconds, 0).
% 0.70/0.98 % set(auto2) -> assign(max_minutes, 5).
% 0.70/0.98 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.70/0.98 % set(auto2) -> set(sort_initial_sos).
% 0.70/0.98 % set(auto2) -> assign(sos_limit, -1).
% 0.70/0.98 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.70/0.98 % set(auto2) -> assign(max_megs, 400).
% 0.70/0.98 % set(auto2) -> assign(stats, some).
% 0.70/0.98 % set(auto2) -> clear(echo_input).
% 0.70/0.98 % set(auto2) -> set(quiet).
% 0.70/0.98 % set(auto2) -> clear(print_initial_clauses).
% 0.70/0.98 % set(auto2) -> clear(print_given).
% 0.70/0.98 assign(lrs_ticks,-1).
% 0.70/0.98 assign(sos_limit,10000).
% 0.70/0.98 assign(order,kbo).
% 0.70/0.98 set(lex_order_vars).
% 0.70/0.98 clear(print_given).
% 0.70/0.98
% 0.70/0.98 % formulas(sos). % not echoed (34 formulas)
% 0.70/0.98
% 0.70/0.98 ============================== end of input ==========================
% 0.70/0.98
% 0.70/0.98 % From the command line: assign(max_seconds, 300).
% 0.70/0.98
% 0.70/0.98 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.70/0.98
% 0.70/0.98 % Formulas that are not ordinary clauses:
% 0.70/0.98 1 (all A (v5_membered(A) -> v4_membered(A))) # label(cc1_membered) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 2 (all A (v4_membered(A) -> v3_membered(A))) # label(cc2_membered) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 3 (all A (v3_membered(A) -> v2_membered(A))) # label(cc3_membered) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 4 (all A (v2_membered(A) -> v1_membered(A))) # label(cc4_membered) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 5 (exists A (-empty(A) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v4_membered(A) & v5_membered(A))) # label(rc1_membered) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 6 (all A (v1_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B))))) # label(cc10_membered) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 7 (all A (v2_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B) & v1_xreal_0(B))))) # label(cc11_membered) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 8 (all A (v3_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B) & v1_xreal_0(B) & v1_rat_1(B))))) # label(cc12_membered) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 9 (all A (v4_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B) & v1_xreal_0(B) & v1_int_1(B) & v1_rat_1(B))))) # label(cc13_membered) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 10 (all A (v5_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B) & natural(B) & v1_xreal_0(B) & v1_int_1(B) & v1_rat_1(B))))) # label(cc14_membered) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 11 (all A (v1_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B))))) # label(cc16_membered) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 12 (all A (v2_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B) & v2_membered(B))))) # label(cc17_membered) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 13 (all A (v3_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B) & v2_membered(B) & v3_membered(B))))) # label(cc18_membered) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 14 (all A (v4_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B) & v2_membered(B) & v3_membered(B) & v4_membered(B))))) # label(cc19_membered) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 15 (all A (v5_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B) & v2_membered(B) & v3_membered(B) & v4_membered(B) & v5_membered(B))))) # label(cc20_membered) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 16 (all A (empty(A) -> v1_membered(A) & v2_membered(A) & v3_membered(A) & v4_membered(A) & v5_membered(A))) # label(cc15_membered) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 17 (all A (-empty(A) -> (exists B (element(B,powerset(A)) & -empty(B))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 18 (all A all B (-empty(A) & -empty(B) -> -empty(cartesian_product2(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 19 (all A exists B (element(B,powerset(A)) & empty(B))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 20 (all A all B (element(B,powerset(A)) -> subset_complement(A,subset_complement(A,B)) = B)) # label(involutiveness_k3_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 21 (all A all B (element(B,powerset(powerset(A))) -> complements_of_subsets(A,complements_of_subsets(A,B)) = B)) # label(involutiveness_k7_setfam_1) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 22 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 23 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 24 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 25 (all A all B (element(B,powerset(A)) -> element(subset_complement(A,B),powerset(A)))) # label(dt_k3_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 26 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 27 (all A all B (element(B,powerset(powerset(A))) -> element(complements_of_subsets(A,B),powerset(powerset(A))))) # label(dt_k7_setfam_1) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 28 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 29 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 30 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 31 (all A all B all C (element(C,powerset(cartesian_product2(A,B))) -> relation(C))) # label(cc1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 32 (all A -empty(powerset(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 33 (all A all B (one_sorted_str(A) & element(B,powerset(powerset(the_carrier(A)))) -> (all C ((all D all E all F (D = E & (exists G exists H (ordered_pair(G,H) = E & in(G,complements_of_subsets(the_carrier(A),B)) & (all I (element(I,powerset(the_carrier(A))) -> (I = G -> H = subset_complement(the_carrier(A),I)))))) & D = F & (exists J exists K (ordered_pair(J,K) = F & in(J,complements_of_subsets(the_carrier(A),B)) & (all L (element(L,powerset(the_carrier(A))) -> (L = J -> K = subset_complement(the_carrier(A),L)))))) -> E = F)) -> (exists D all E (in(E,D) <-> (exists F (in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) & F = E & (exists M exists N (ordered_pair(M,N) = E & in(M,complements_of_subsets(the_carrier(A),B)) & (all O (element(O,powerset(the_carrier(A))) -> (O = M -> N = subset_complement(the_carrier(A),O)))))))))))))) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom) # label(non_clause). [assumption].
% 0.70/0.98 34 -(all A all B (one_sorted_str(A) & element(B,powerset(powerset(the_carrier(A)))) -> (all C exists D all E (in(E,D) <-> in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) & (exists F exists G (ordered_pair(F,G) = E & in(F,complements_of_subsets(the_carrier(A),B)) & (all H (element(H,powerset(the_carrier(A))) -> (H = F -> G = subset_complement(the_carrier(A),H)))))))))) # label(s1_xboole_0__e4_7_1__tops_2__1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.70/1.00
% 0.70/1.00 ============================== end of process non-clausal formulas ===
% 0.70/1.00
% 0.70/1.00 ============================== PROCESS INITIAL CLAUSES ===============
% 0.70/1.00
% 0.70/1.00 ============================== PREDICATE ELIMINATION =================
% 0.70/1.00 35 one_sorted_str(c2) # label(s1_xboole_0__e4_7_1__tops_2__1) # label(negated_conjecture). [clausify(34)].
% 0.70/1.00 36 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f4(A,B,C) = f3(A,B,C) | -in(D,f10(A,B,C)) | in(f11(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 37 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f4(A,B,C) = f3(A,B,C) | -in(D,f10(A,B,C)) | f11(A,B,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 38 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f4(A,B,C) = f3(A,B,C) | -in(D,f10(A,B,C)) | ordered_pair(f12(A,B,C,D),f13(A,B,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 39 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f4(A,B,C) = f3(A,B,C) | -in(D,f10(A,B,C)) | in(f12(A,B,C,D),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 40 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f4(A,B,C) = f3(A,B,C) | -in(D,f10(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f12(A,B,C,D) | subset_complement(the_carrier(A),E) = f13(A,B,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 41 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f4(A,B,C) = f3(A,B,C) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | element(f14(A,B,C,D,E,F,V6),powerset(the_carrier(A))) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 42 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f4(A,B,C) = f3(A,B,C) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | f14(A,B,C,D,E,F,V6) = F # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 43 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f4(A,B,C) = f3(A,B,C) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f14(A,B,C,D,E,F,V6)) != V6 # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 44 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f4(A,B,C) | -in(D,f10(A,B,C)) | in(f11(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 45 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f4(A,B,C) | -in(D,f10(A,B,C)) | f11(A,B,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 46 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f4(A,B,C) | -in(D,f10(A,B,C)) | ordered_pair(f12(A,B,C,D),f13(A,B,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 47 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f4(A,B,C) | -in(D,f10(A,B,C)) | in(f12(A,B,C,D),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 48 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f4(A,B,C) | -in(D,f10(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f12(A,B,C,D) | subset_complement(the_carrier(A),E) = f13(A,B,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 49 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f4(A,B,C) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | element(f14(A,B,C,D,E,F,V6),powerset(the_carrier(A))) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 50 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f4(A,B,C) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | f14(A,B,C,D,E,F,V6) = F # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 51 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f4(A,B,C) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f14(A,B,C,D,E,F,V6)) != V6 # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 52 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f10(A,B,C)) | in(f11(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 53 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f10(A,B,C)) | f11(A,B,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 54 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f10(A,B,C)) | ordered_pair(f12(A,B,C,D),f13(A,B,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 55 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f10(A,B,C)) | in(f12(A,B,C,D),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 56 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f10(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f12(A,B,C,D) | subset_complement(the_carrier(A),E) = f13(A,B,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 57 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | element(f14(A,B,C,D,E,F,V6),powerset(the_carrier(A))) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 58 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | f14(A,B,C,D,E,F,V6) = F # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 59 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f14(A,B,C,D,E,F,V6)) != V6 # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 60 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f10(A,B,D)) | in(f11(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 61 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f10(A,B,D)) | f11(A,B,D,E) = E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 62 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f10(A,B,D)) | ordered_pair(f12(A,B,D,E),f13(A,B,D,E)) = E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 63 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f10(A,B,D)) | in(f12(A,B,D,E),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 64 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f10(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f12(A,B,D,E) | subset_complement(the_carrier(A),F) = f13(A,B,D,E) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 65 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f10(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | F != E | ordered_pair(V6,V7) != E | -in(V6,complements_of_subsets(the_carrier(A),B)) | element(f14(A,B,D,E,F,V6,V7),powerset(the_carrier(A))) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 66 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f10(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | F != E | ordered_pair(V6,V7) != E | -in(V6,complements_of_subsets(the_carrier(A),B)) | f14(A,B,D,E,F,V6,V7) = V6 # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 67 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f10(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | F != E | ordered_pair(V6,V7) != E | -in(V6,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f14(A,B,D,E,F,V6,V7)) != V7 # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 68 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f5(A,B,C) = f3(A,B,C) | -in(D,f10(A,B,C)) | in(f11(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 69 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f5(A,B,C) = f3(A,B,C) | -in(D,f10(A,B,C)) | f11(A,B,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 70 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f5(A,B,C) = f3(A,B,C) | -in(D,f10(A,B,C)) | ordered_pair(f12(A,B,C,D),f13(A,B,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 71 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f5(A,B,C) = f3(A,B,C) | -in(D,f10(A,B,C)) | in(f12(A,B,C,D),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 72 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f5(A,B,C) = f3(A,B,C) | -in(D,f10(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f12(A,B,C,D) | subset_complement(the_carrier(A),E) = f13(A,B,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 73 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f5(A,B,C) = f3(A,B,C) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | element(f14(A,B,C,D,E,F,V6),powerset(the_carrier(A))) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 74 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f5(A,B,C) = f3(A,B,C) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | f14(A,B,C,D,E,F,V6) = F # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 75 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f5(A,B,C) = f3(A,B,C) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f14(A,B,C,D,E,F,V6)) != V6 # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 76 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f8(A,B,C),f9(A,B,C)) = f5(A,B,C) | -in(D,f10(A,B,C)) | in(f11(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 77 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f8(A,B,C),f9(A,B,C)) = f5(A,B,C) | -in(D,f10(A,B,C)) | f11(A,B,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 78 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f8(A,B,C),f9(A,B,C)) = f5(A,B,C) | -in(D,f10(A,B,C)) | ordered_pair(f12(A,B,C,D),f13(A,B,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 79 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f8(A,B,C),f9(A,B,C)) = f5(A,B,C) | -in(D,f10(A,B,C)) | in(f12(A,B,C,D),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 80 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f8(A,B,C),f9(A,B,C)) = f5(A,B,C) | -in(D,f10(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f12(A,B,C,D) | subset_complement(the_carrier(A),E) = f13(A,B,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 81 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f8(A,B,C),f9(A,B,C)) = f5(A,B,C) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | element(f14(A,B,C,D,E,F,V6),powerset(the_carrier(A))) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 82 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f8(A,B,C),f9(A,B,C)) = f5(A,B,C) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | f14(A,B,C,D,E,F,V6) = F # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 83 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f8(A,B,C),f9(A,B,C)) = f5(A,B,C) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f14(A,B,C,D,E,F,V6)) != V6 # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.00 84 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f8(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f10(A,B,C)) | in(f11(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 85 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f8(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f10(A,B,C)) | f11(A,B,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 86 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f8(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f10(A,B,C)) | ordered_pair(f12(A,B,C,D),f13(A,B,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 87 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f8(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f10(A,B,C)) | in(f12(A,B,C,D),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 88 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f8(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f10(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f12(A,B,C,D) | subset_complement(the_carrier(A),E) = f13(A,B,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 89 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f8(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | element(f14(A,B,C,D,E,F,V6),powerset(the_carrier(A))) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 90 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f8(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | f14(A,B,C,D,E,F,V6) = F # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 91 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f8(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f14(A,B,C,D,E,F,V6)) != V6 # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 92 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f8(A,B,D) | subset_complement(the_carrier(A),C) = f9(A,B,D) | -in(E,f10(A,B,D)) | in(f11(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 93 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f8(A,B,D) | subset_complement(the_carrier(A),C) = f9(A,B,D) | -in(E,f10(A,B,D)) | f11(A,B,D,E) = E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 94 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f8(A,B,D) | subset_complement(the_carrier(A),C) = f9(A,B,D) | -in(E,f10(A,B,D)) | ordered_pair(f12(A,B,D,E),f13(A,B,D,E)) = E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 95 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f8(A,B,D) | subset_complement(the_carrier(A),C) = f9(A,B,D) | -in(E,f10(A,B,D)) | in(f12(A,B,D,E),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 96 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f8(A,B,D) | subset_complement(the_carrier(A),C) = f9(A,B,D) | -in(E,f10(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f12(A,B,D,E) | subset_complement(the_carrier(A),F) = f13(A,B,D,E) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 97 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f8(A,B,D) | subset_complement(the_carrier(A),C) = f9(A,B,D) | in(E,f10(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | F != E | ordered_pair(V6,V7) != E | -in(V6,complements_of_subsets(the_carrier(A),B)) | element(f14(A,B,D,E,F,V6,V7),powerset(the_carrier(A))) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 98 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f8(A,B,D) | subset_complement(the_carrier(A),C) = f9(A,B,D) | in(E,f10(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | F != E | ordered_pair(V6,V7) != E | -in(V6,complements_of_subsets(the_carrier(A),B)) | f14(A,B,D,E,F,V6,V7) = V6 # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 99 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f8(A,B,D) | subset_complement(the_carrier(A),C) = f9(A,B,D) | in(E,f10(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | F != E | ordered_pair(V6,V7) != E | -in(V6,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f14(A,B,D,E,F,V6,V7)) != V7 # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 100 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f5(A,B,C) != f4(A,B,C) | -in(D,f10(A,B,C)) | in(f11(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 101 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f5(A,B,C) != f4(A,B,C) | -in(D,f10(A,B,C)) | f11(A,B,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 102 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f5(A,B,C) != f4(A,B,C) | -in(D,f10(A,B,C)) | ordered_pair(f12(A,B,C,D),f13(A,B,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 103 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f5(A,B,C) != f4(A,B,C) | -in(D,f10(A,B,C)) | in(f12(A,B,C,D),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 104 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f5(A,B,C) != f4(A,B,C) | -in(D,f10(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f12(A,B,C,D) | subset_complement(the_carrier(A),E) = f13(A,B,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 105 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f5(A,B,C) != f4(A,B,C) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | element(f14(A,B,C,D,E,F,V6),powerset(the_carrier(A))) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 106 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f5(A,B,C) != f4(A,B,C) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | f14(A,B,C,D,E,F,V6) = F # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 107 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f5(A,B,C) != f4(A,B,C) | in(D,f10(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f14(A,B,C,D,E,F,V6)) != V6 # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(33)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f4(c2,A,B) = f3(c2,A,B) | -in(C,f10(c2,A,B)) | in(f11(c2,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)). [resolve(35,a,36,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f4(c2,A,B) = f3(c2,A,B) | -in(C,f10(c2,A,B)) | f11(c2,A,B,C) = C. [resolve(35,a,37,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f4(c2,A,B) = f3(c2,A,B) | -in(C,f10(c2,A,B)) | ordered_pair(f12(c2,A,B,C),f13(c2,A,B,C)) = C. [resolve(35,a,38,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f4(c2,A,B) = f3(c2,A,B) | -in(C,f10(c2,A,B)) | in(f12(c2,A,B,C),complements_of_subsets(the_carrier(c2),A)). [resolve(35,a,39,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f4(c2,A,B) = f3(c2,A,B) | -in(C,f10(c2,A,B)) | -element(D,powerset(the_carrier(c2))) | D != f12(c2,A,B,C) | subset_complement(the_carrier(c2),D) = f13(c2,A,B,C). [resolve(35,a,40,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f4(c2,A,B) = f3(c2,A,B) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | element(f14(c2,A,B,C,D,E,F),powerset(the_carrier(c2))). [resolve(35,a,41,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f4(c2,A,B) = f3(c2,A,B) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | f14(c2,A,B,C,D,E,F) = E. [resolve(35,a,42,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f4(c2,A,B) = f3(c2,A,B) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | subset_complement(the_carrier(c2),f14(c2,A,B,C,D,E,F)) != F. [resolve(35,a,43,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | ordered_pair(f6(c2,A,B),f7(c2,A,B)) = f4(c2,A,B) | -in(C,f10(c2,A,B)) | in(f11(c2,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)). [resolve(35,a,44,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | ordered_pair(f6(c2,A,B),f7(c2,A,B)) = f4(c2,A,B) | -in(C,f10(c2,A,B)) | f11(c2,A,B,C) = C. [resolve(35,a,45,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | ordered_pair(f6(c2,A,B),f7(c2,A,B)) = f4(c2,A,B) | -in(C,f10(c2,A,B)) | ordered_pair(f12(c2,A,B,C),f13(c2,A,B,C)) = C. [resolve(35,a,46,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | ordered_pair(f6(c2,A,B),f7(c2,A,B)) = f4(c2,A,B) | -in(C,f10(c2,A,B)) | in(f12(c2,A,B,C),complements_of_subsets(the_carrier(c2),A)). [resolve(35,a,47,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | ordered_pair(f6(c2,A,B),f7(c2,A,B)) = f4(c2,A,B) | -in(C,f10(c2,A,B)) | -element(D,powerset(the_carrier(c2))) | D != f12(c2,A,B,C) | subset_complement(the_carrier(c2),D) = f13(c2,A,B,C). [resolve(35,a,48,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | ordered_pair(f6(c2,A,B),f7(c2,A,B)) = f4(c2,A,B) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | element(f14(c2,A,B,C,D,E,F),powerset(the_carrier(c2))). [resolve(35,a,49,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | ordered_pair(f6(c2,A,B),f7(c2,A,B)) = f4(c2,A,B) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | f14(c2,A,B,C,D,E,F) = E. [resolve(35,a,50,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | ordered_pair(f6(c2,A,B),f7(c2,A,B)) = f4(c2,A,B) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | subset_complement(the_carrier(c2),f14(c2,A,B,C,D,E,F)) != F. [resolve(35,a,51,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | in(f6(c2,A,B),complements_of_subsets(the_carrier(c2),A)) | -in(C,f10(c2,A,B)) | in(f11(c2,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)). [resolve(35,a,52,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | in(f6(c2,A,B),complements_of_subsets(the_carrier(c2),A)) | -in(C,f10(c2,A,B)) | f11(c2,A,B,C) = C. [resolve(35,a,53,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | in(f6(c2,A,B),complements_of_subsets(the_carrier(c2),A)) | -in(C,f10(c2,A,B)) | ordered_pair(f12(c2,A,B,C),f13(c2,A,B,C)) = C. [resolve(35,a,54,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | in(f6(c2,A,B),complements_of_subsets(the_carrier(c2),A)) | -in(C,f10(c2,A,B)) | in(f12(c2,A,B,C),complements_of_subsets(the_carrier(c2),A)). [resolve(35,a,55,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | in(f6(c2,A,B),complements_of_subsets(the_carrier(c2),A)) | -in(C,f10(c2,A,B)) | -element(D,powerset(the_carrier(c2))) | D != f12(c2,A,B,C) | subset_complement(the_carrier(c2),D) = f13(c2,A,B,C). [resolve(35,a,56,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | in(f6(c2,A,B),complements_of_subsets(the_carrier(c2),A)) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | element(f14(c2,A,B,C,D,E,F),powerset(the_carrier(c2))). [resolve(35,a,57,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | in(f6(c2,A,B),complements_of_subsets(the_carrier(c2),A)) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | f14(c2,A,B,C,D,E,F) = E. [resolve(35,a,58,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | in(f6(c2,A,B),complements_of_subsets(the_carrier(c2),A)) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | subset_complement(the_carrier(c2),f14(c2,A,B,C,D,E,F)) != F. [resolve(35,a,59,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | -element(B,powerset(the_carrier(c2))) | B != f6(c2,A,C) | subset_complement(the_carrier(c2),B) = f7(c2,A,C) | -in(D,f10(c2,A,C)) | in(f11(c2,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c2),A),C)). [resolve(35,a,60,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | -element(B,powerset(the_carrier(c2))) | B != f6(c2,A,C) | subset_complement(the_carrier(c2),B) = f7(c2,A,C) | -in(D,f10(c2,A,C)) | f11(c2,A,C,D) = D. [resolve(35,a,61,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | -element(B,powerset(the_carrier(c2))) | B != f6(c2,A,C) | subset_complement(the_carrier(c2),B) = f7(c2,A,C) | -in(D,f10(c2,A,C)) | ordered_pair(f12(c2,A,C,D),f13(c2,A,C,D)) = D. [resolve(35,a,62,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | -element(B,powerset(the_carrier(c2))) | B != f6(c2,A,C) | subset_complement(the_carrier(c2),B) = f7(c2,A,C) | -in(D,f10(c2,A,C)) | in(f12(c2,A,C,D),complements_of_subsets(the_carrier(c2),A)). [resolve(35,a,63,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | -element(B,powerset(the_carrier(c2))) | B != f6(c2,A,C) | subset_complement(the_carrier(c2),B) = f7(c2,A,C) | -in(D,f10(c2,A,C)) | -element(E,powerset(the_carrier(c2))) | E != f12(c2,A,C,D) | subset_complement(the_carrier(c2),E) = f13(c2,A,C,D). [resolve(35,a,64,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | -element(B,powerset(the_carrier(c2))) | B != f6(c2,A,C) | subset_complement(the_carrier(c2),B) = f7(c2,A,C) | in(D,f10(c2,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c2),A),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(c2),A)) | element(f14(c2,A,C,D,E,F,V6),powerset(the_carrier(c2))). [resolve(35,a,65,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | -element(B,powerset(the_carrier(c2))) | B != f6(c2,A,C) | subset_complement(the_carrier(c2),B) = f7(c2,A,C) | in(D,f10(c2,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c2),A),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(c2),A)) | f14(c2,A,C,D,E,F,V6) = F. [resolve(35,a,66,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | -element(B,powerset(the_carrier(c2))) | B != f6(c2,A,C) | subset_complement(the_carrier(c2),B) = f7(c2,A,C) | in(D,f10(c2,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c2),A),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(c2),A)) | subset_complement(the_carrier(c2),f14(c2,A,C,D,E,F,V6)) != V6. [resolve(35,a,67,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f5(c2,A,B) = f3(c2,A,B) | -in(C,f10(c2,A,B)) | in(f11(c2,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)). [resolve(35,a,68,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f5(c2,A,B) = f3(c2,A,B) | -in(C,f10(c2,A,B)) | f11(c2,A,B,C) = C. [resolve(35,a,69,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f5(c2,A,B) = f3(c2,A,B) | -in(C,f10(c2,A,B)) | ordered_pair(f12(c2,A,B,C),f13(c2,A,B,C)) = C. [resolve(35,a,70,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f5(c2,A,B) = f3(c2,A,B) | -in(C,f10(c2,A,B)) | in(f12(c2,A,B,C),complements_of_subsets(the_carrier(c2),A)). [resolve(35,a,71,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f5(c2,A,B) = f3(c2,A,B) | -in(C,f10(c2,A,B)) | -element(D,powerset(the_carrier(c2))) | D != f12(c2,A,B,C) | subset_complement(the_carrier(c2),D) = f13(c2,A,B,C). [resolve(35,a,72,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f5(c2,A,B) = f3(c2,A,B) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | element(f14(c2,A,B,C,D,E,F),powerset(the_carrier(c2))). [resolve(35,a,73,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f5(c2,A,B) = f3(c2,A,B) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | f14(c2,A,B,C,D,E,F) = E. [resolve(35,a,74,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f5(c2,A,B) = f3(c2,A,B) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | subset_complement(the_carrier(c2),f14(c2,A,B,C,D,E,F)) != F. [resolve(35,a,75,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | ordered_pair(f8(c2,A,B),f9(c2,A,B)) = f5(c2,A,B) | -in(C,f10(c2,A,B)) | in(f11(c2,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)). [resolve(35,a,76,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | ordered_pair(f8(c2,A,B),f9(c2,A,B)) = f5(c2,A,B) | -in(C,f10(c2,A,B)) | f11(c2,A,B,C) = C. [resolve(35,a,77,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | ordered_pair(f8(c2,A,B),f9(c2,A,B)) = f5(c2,A,B) | -in(C,f10(c2,A,B)) | ordered_pair(f12(c2,A,B,C),f13(c2,A,B,C)) = C. [resolve(35,a,78,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | ordered_pair(f8(c2,A,B),f9(c2,A,B)) = f5(c2,A,B) | -in(C,f10(c2,A,B)) | in(f12(c2,A,B,C),complements_of_subsets(the_carrier(c2),A)). [resolve(35,a,79,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | ordered_pair(f8(c2,A,B),f9(c2,A,B)) = f5(c2,A,B) | -in(C,f10(c2,A,B)) | -element(D,powerset(the_carrier(c2))) | D != f12(c2,A,B,C) | subset_complement(the_carrier(c2),D) = f13(c2,A,B,C). [resolve(35,a,80,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | ordered_pair(f8(c2,A,B),f9(c2,A,B)) = f5(c2,A,B) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | element(f14(c2,A,B,C,D,E,F),powerset(the_carrier(c2))). [resolve(35,a,81,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | ordered_pair(f8(c2,A,B),f9(c2,A,B)) = f5(c2,A,B) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | f14(c2,A,B,C,D,E,F) = E. [resolve(35,a,82,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | ordered_pair(f8(c2,A,B),f9(c2,A,B)) = f5(c2,A,B) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | subset_complement(the_carrier(c2),f14(c2,A,B,C,D,E,F)) != F. [resolve(35,a,83,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | in(f8(c2,A,B),complements_of_subsets(the_carrier(c2),A)) | -in(C,f10(c2,A,B)) | in(f11(c2,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)). [resolve(35,a,84,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | in(f8(c2,A,B),complements_of_subsets(the_carrier(c2),A)) | -in(C,f10(c2,A,B)) | f11(c2,A,B,C) = C. [resolve(35,a,85,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | in(f8(c2,A,B),complements_of_subsets(the_carrier(c2),A)) | -in(C,f10(c2,A,B)) | ordered_pair(f12(c2,A,B,C),f13(c2,A,B,C)) = C. [resolve(35,a,86,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | in(f8(c2,A,B),complements_of_subsets(the_carrier(c2),A)) | -in(C,f10(c2,A,B)) | in(f12(c2,A,B,C),complements_of_subsets(the_carrier(c2),A)). [resolve(35,a,87,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | in(f8(c2,A,B),complements_of_subsets(the_carrier(c2),A)) | -in(C,f10(c2,A,B)) | -element(D,powerset(the_carrier(c2))) | D != f12(c2,A,B,C) | subset_complement(the_carrier(c2),D) = f13(c2,A,B,C). [resolve(35,a,88,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | in(f8(c2,A,B),complements_of_subsets(the_carrier(c2),A)) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | element(f14(c2,A,B,C,D,E,F),powerset(the_carrier(c2))). [resolve(35,a,89,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | in(f8(c2,A,B),complements_of_subsets(the_carrier(c2),A)) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | f14(c2,A,B,C,D,E,F) = E. [resolve(35,a,90,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | in(f8(c2,A,B),complements_of_subsets(the_carrier(c2),A)) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | subset_complement(the_carrier(c2),f14(c2,A,B,C,D,E,F)) != F. [resolve(35,a,91,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | -element(B,powerset(the_carrier(c2))) | B != f8(c2,A,C) | subset_complement(the_carrier(c2),B) = f9(c2,A,C) | -in(D,f10(c2,A,C)) | in(f11(c2,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c2),A),C)). [resolve(35,a,92,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | -element(B,powerset(the_carrier(c2))) | B != f8(c2,A,C) | subset_complement(the_carrier(c2),B) = f9(c2,A,C) | -in(D,f10(c2,A,C)) | f11(c2,A,C,D) = D. [resolve(35,a,93,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | -element(B,powerset(the_carrier(c2))) | B != f8(c2,A,C) | subset_complement(the_carrier(c2),B) = f9(c2,A,C) | -in(D,f10(c2,A,C)) | ordered_pair(f12(c2,A,C,D),f13(c2,A,C,D)) = D. [resolve(35,a,94,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | -element(B,powerset(the_carrier(c2))) | B != f8(c2,A,C) | subset_complement(the_carrier(c2),B) = f9(c2,A,C) | -in(D,f10(c2,A,C)) | in(f12(c2,A,C,D),complements_of_subsets(the_carrier(c2),A)). [resolve(35,a,95,a)].
% 0.70/1.01 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | -element(B,powerset(the_carrier(c2))) | B != f8(c2,A,C) | subset_complement(the_carrier(c2),B) = f9(c2,A,C) | -in(D,f10(c2,A,C)) | -element(E,powerset(the_carrier(c2))) | E != f12(c2,A,C,D) | subset_complement(the_carrier(c2),E) = f13(c2,A,C,D). [resolve(35,a,96,a)].
% 0.71/1.03 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | -element(B,powerset(the_carrier(c2))) | B != f8(c2,A,C) | subset_complement(the_carrier(c2),B) = f9(c2,A,C) | in(D,f10(c2,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c2),A),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(c2),A)) | element(f14(c2,A,C,D,E,F,V6),powerset(the_carrier(c2))). [resolve(35,a,97,a)].
% 0.71/1.03 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | -element(B,powerset(the_carrier(c2))) | B != f8(c2,A,C) | subset_complement(the_carrier(c2),B) = f9(c2,A,C) | in(D,f10(c2,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c2),A),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(c2),A)) | f14(c2,A,C,D,E,F,V6) = F. [resolve(35,a,98,a)].
% 0.71/1.03 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | -element(B,powerset(the_carrier(c2))) | B != f8(c2,A,C) | subset_complement(the_carrier(c2),B) = f9(c2,A,C) | in(D,f10(c2,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c2),A),C)) | E != D | ordered_pair(F,V6) != D | -in(F,complements_of_subsets(the_carrier(c2),A)) | subset_complement(the_carrier(c2),f14(c2,A,C,D,E,F,V6)) != V6. [resolve(35,a,99,a)].
% 0.71/1.03 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f5(c2,A,B) != f4(c2,A,B) | -in(C,f10(c2,A,B)) | in(f11(c2,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)). [resolve(35,a,100,a)].
% 0.71/1.03 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f5(c2,A,B) != f4(c2,A,B) | -in(C,f10(c2,A,B)) | f11(c2,A,B,C) = C. [resolve(35,a,101,a)].
% 0.71/1.03 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f5(c2,A,B) != f4(c2,A,B) | -in(C,f10(c2,A,B)) | ordered_pair(f12(c2,A,B,C),f13(c2,A,B,C)) = C. [resolve(35,a,102,a)].
% 0.71/1.03 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f5(c2,A,B) != f4(c2,A,B) | -in(C,f10(c2,A,B)) | in(f12(c2,A,B,C),complements_of_subsets(the_carrier(c2),A)). [resolve(35,a,103,a)].
% 0.71/1.03 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f5(c2,A,B) != f4(c2,A,B) | -in(C,f10(c2,A,B)) | -element(D,powerset(the_carrier(c2))) | D != f12(c2,A,B,C) | subset_complement(the_carrier(c2),D) = f13(c2,A,B,C). [resolve(35,a,104,a)].
% 0.71/1.03 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f5(c2,A,B) != f4(c2,A,B) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | element(f14(c2,A,B,C,D,E,F),powerset(the_carrier(c2))). [resolve(35,a,105,a)].
% 0.71/1.03 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f5(c2,A,B) != f4(c2,A,B) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | f14(c2,A,B,C,D,E,F) = E. [resolve(35,a,106,a)].
% 0.71/1.03 Derived: -element(A,powerset(powerset(the_carrier(c2)))) | f5(c2,A,B) != f4(c2,A,B) | in(C,f10(c2,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c2),A),B)) | D != C | ordered_pair(E,F) != C | -in(E,complements_of_subsets(the_carrier(c2),A)) | subset_complement(the_carrier(c2),f14(c2,A,B,C,D,E,F)) != F. [resolve(35,a,107,a)].
% 0.71/1.03
% 0.71/1.03 ============================== end predicate elimination =============
% 0.71/1.03
% 0.71/1.03 Auto_denials: (non-Horn, no changes).
% 0.71/1.03
% 0.71/1.03 Term ordering decisions:
% 0.71/1.03 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. complements_of_subsets=1. ordered_pair=1. cartesian_product2=1. subset_complement=1. the_carrier=1. powerset=1. f1=1. f2=1. f15=1. f16=1. f17=1. f3=1. f4=1. f5=1. f6=1. f7=1. f8=1. f9=1. f10=1. f18=1. f11=1. f12=1. f13=1. f14=1.
% 0.71/1.03
% 0.71/1.03 ============================== end of process initial clauses ========
% 0.71/1.03
% 0.71/1.03 ============================== CLAUSES FOR SEARCH ====================
% 0.71/1.03
% 0.71/1.03 ============================== end of clauses for search =============
% 4.22/4.53
% 4.22/4.53 ============================== SEARCH ================================
% 4.22/4.53
% 4.22/4.53 % Starting search at 0.07 seconds.
% 4.22/4.53
% 4.22/4.53 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 164 (0.00 of 0.38 sec).
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=176.000, iters=3350
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=173.000, iters=3338
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=164.000, iters=3388
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=161.000, iters=3366
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=155.000, iters=3429
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=152.000, iters=3396
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=146.000, iters=3355
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=145.000, iters=3345
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=144.000, iters=3337
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=140.000, iters=3366
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=136.000, iters=3350
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=134.000, iters=3341
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=133.000, iters=3407
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=129.000, iters=3369
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=126.000, iters=3349
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=125.000, iters=3336
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=123.000, iters=3340
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=121.000, iters=3333
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=118.000, iters=3356
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=117.000, iters=3359
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=116.000, iters=3429
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=112.000, iters=3338
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=111.000, iters=3360
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=109.000, iters=3383
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=108.000, iters=3408
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=107.000, iters=3410
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=103.000, iters=3336
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=102.000, iters=3393
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=101.000, iters=3443
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=97.000, iters=3410
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=95.000, iters=3350
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=94.000, iters=3338
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=93.000, iters=3483
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=92.000, iters=3416
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=91.000, iters=3347
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=90.000, iters=3333
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=89.000, iters=3348
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=87.000, iters=3341
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=86.000, iters=3436
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=83.000, iters=3398
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=82.000, iters=3418
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=80.000, iters=3363
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=79.000, iters=3390
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=77.000, iters=3344
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=76.000, iters=3419
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=75.000, iters=3375
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=74.000, iters=3333
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=4672, wt=200.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=4676, wt=199.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=4674, wt=197.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=3317, wt=193.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=3321, wt=192.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=3319, wt=190.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=4931, wt=188.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=4935, wt=187.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=4933, wt=185.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6003, wt=184.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6065, wt=183.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6067, wt=182.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6004, wt=181.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6066, wt=180.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=3757, wt=176.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=4681, wt=175.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=4743, wt=174.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=4745, wt=173.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=4682, wt=172.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=4744, wt=171.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=5996, wt=170.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6049, wt=169.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6119, wt=168.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6123, wt=167.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6050, wt=166.000
% 4.22/4.53
% 4.22/4.53 Low Water (keep): wt=73.000, iters=3338
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6121, wt=165.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=5976, wt=164.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=4940, wt=163.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6068, wt=162.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=5977, wt=161.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=4941, wt=160.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6006, wt=159.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6073, wt=158.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6075, wt=157.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6007, wt=156.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6074, wt=155.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6748, wt=154.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6810, wt=153.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6812, wt=152.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6749, wt=151.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6977, wt=150.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=6058, wt=149.000
% 4.22/4.53
% 4.22/4.53 Low Water (displace): id=7023, wt=148.000
% 4.22/4.53
% 4.22/4.53 Low Water (Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------