0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : tptp2X_and_run_prover9 %d %s 0.02/0.23 % Computer : n178.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 06:04:25 CDT 2018 0.02/0.23 % CPUTime : 0.06/0.46 ============================== Prover9 =============================== 0.06/0.46 Prover9 (32) version 2009-11A, November 2009. 0.06/0.46 Process 34231 was started by sandbox2 on n178.star.cs.uiowa.edu, 0.06/0.46 Sat Jul 14 06:04:25 2018 0.06/0.46 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_34199_n178.star.cs.uiowa.edu". 0.06/0.46 ============================== end of head =========================== 0.06/0.46 0.06/0.46 ============================== INPUT ================================= 0.06/0.46 0.06/0.46 % Reading from file /tmp/Prover9_34199_n178.star.cs.uiowa.edu 0.06/0.46 0.06/0.46 set(prolog_style_variables). 0.06/0.46 set(auto2). 0.06/0.46 % set(auto2) -> set(auto). 0.06/0.46 % set(auto) -> set(auto_inference). 0.06/0.46 % set(auto) -> set(auto_setup). 0.06/0.46 % set(auto_setup) -> set(predicate_elim). 0.06/0.46 % set(auto_setup) -> assign(eq_defs, unfold). 0.06/0.46 % set(auto) -> set(auto_limits). 0.06/0.46 % set(auto_limits) -> assign(max_weight, "100.000"). 0.06/0.46 % set(auto_limits) -> assign(sos_limit, 20000). 0.06/0.46 % set(auto) -> set(auto_denials). 0.06/0.46 % set(auto) -> set(auto_process). 0.06/0.46 % set(auto2) -> assign(new_constants, 1). 0.06/0.46 % set(auto2) -> assign(fold_denial_max, 3). 0.06/0.46 % set(auto2) -> assign(max_weight, "200.000"). 0.06/0.46 % set(auto2) -> assign(max_hours, 1). 0.06/0.46 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.06/0.46 % set(auto2) -> assign(max_seconds, 0). 0.06/0.46 % set(auto2) -> assign(max_minutes, 5). 0.06/0.46 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.06/0.46 % set(auto2) -> set(sort_initial_sos). 0.06/0.46 % set(auto2) -> assign(sos_limit, -1). 0.06/0.46 % set(auto2) -> assign(lrs_ticks, 3000). 0.06/0.46 % set(auto2) -> assign(max_megs, 400). 0.06/0.46 % set(auto2) -> assign(stats, some). 0.06/0.46 % set(auto2) -> clear(echo_input). 0.06/0.46 % set(auto2) -> set(quiet). 0.06/0.46 % set(auto2) -> clear(print_initial_clauses). 0.06/0.46 % set(auto2) -> clear(print_given). 0.06/0.46 assign(lrs_ticks,-1). 0.06/0.46 assign(sos_limit,10000). 0.06/0.46 assign(order,kbo). 0.06/0.46 set(lex_order_vars). 0.06/0.46 clear(print_given). 0.06/0.46 0.06/0.46 % formulas(sos). % not echoed (64 formulas) 0.06/0.46 0.06/0.46 ============================== end of input ========================== 0.06/0.46 0.06/0.46 % From the command line: assign(max_seconds, 300). 0.06/0.46 0.06/0.46 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.06/0.47 0.06/0.47 % Formulas that are not ordinary clauses: 0.06/0.47 1 (all A (empty(A) -> relation(relation_dom(A)) & empty(relation_dom(A)))) # label(fc7_relat_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 2 (all A all B unordered_pair(unordered_pair(A,B),singleton(A)) = ordered_pair(A,B)) # label(d5_tarski) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 3 (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]. 0.06/0.47 4 (all A (relation(A) -> (all B ((all C ((exists D in(ordered_pair(C,D),A)) <-> in(C,B))) <-> relation_dom(A) = B)))) # label(d4_relat_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 5 (all A (v3_membered(A) -> v2_membered(A))) # label(cc3_membered) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 6 (all A all B -empty(unordered_pair(A,B))) # label(fc3_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 7 (all A (relation(A) & function(A) -> (all B all C ((in(B,relation_dom(A)) -> (apply(A,B) = C <-> in(ordered_pair(B,C),A))) & (-in(B,relation_dom(A)) -> (apply(A,B) = C <-> empty_set = C)))))) # label(d4_funct_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 8 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 9 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 10 (all A all B unordered_pair(A,B) = unordered_pair(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 11 (exists A (v4_membered(A) & v5_membered(A) & v3_membered(A) & v2_membered(A) & v1_membered(A) & -empty(A))) # label(rc1_membered) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 12 (all A (v5_membered(A) -> v4_membered(A))) # label(cc1_membered) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 13 (all A all B (element(B,powerset(powerset(the_carrier(A)))) & one_sorted_str(A) -> ((all C all D all E (in(C,B) & (all G (element(G,powerset(the_carrier(A))) -> (G = C -> subset_complement(the_carrier(A),G) = E))) & (all F (element(F,powerset(the_carrier(A))) -> (F = C -> subset_complement(the_carrier(A),F) = D))) & in(C,B) -> D = E)) -> (exists C (relation(C) & function(C) & (all D all E (in(D,B) & in(D,B) & (all H (element(H,powerset(the_carrier(A))) -> (D = H -> subset_complement(the_carrier(A),H) = E))) <-> in(ordered_pair(D,E),C)))))))) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 14 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 15 (all A all B ((all C (in(C,A) <-> in(C,B))) -> A = B)) # label(t2_tarski) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 16 (exists A (-empty(A) & relation(A))) # label(rc2_relat_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 17 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 18 (all A all B -(in(A,B) & empty(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 19 (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]. 0.06/0.47 20 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 21 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 22 (all A (empty(A) -> function(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 23 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 24 (all A all B (element(B,powerset(A)) -> B = subset_complement(A,subset_complement(A,B)))) # label(involutiveness_k3_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 25 (exists A (function(A) & relation(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 26 (all A (empty(A) -> empty_set = A)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 27 (all A exists B element(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 28 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 29 (all A (v2_membered(A) -> v1_membered(A))) # label(cc4_membered) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 30 (exists A (relation(A) & relation_empty_yielding(A))) # label(rc3_relat_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 31 (all A (relation(A) & -empty(A) -> -empty(relation_dom(A)))) # label(fc5_relat_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 32 (all A (v4_membered(A) -> v3_membered(A))) # label(cc2_membered) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 33 (all A (v3_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B) & v1_rat_1(B) & v1_xreal_0(B))))) # label(cc12_membered) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 34 (all A (v1_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B))))) # label(cc16_membered) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 35 (all A (v1_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B))))) # label(cc10_membered) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 36 (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]. 0.06/0.47 37 (all A (v4_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B) & v1_int_1(B) & v1_rat_1(B) & v1_xreal_0(B))))) # label(cc13_membered) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 38 (all A (-empty(A) -> (exists B (element(B,powerset(A)) & -empty(B))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 39 (all A -empty(singleton(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 40 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 41 $T # label(dt_k1_relat_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 42 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 43 (all A (v4_membered(A) -> (all B (element(B,powerset(A)) -> v4_membered(B) & v3_membered(B) & v2_membered(B) & v1_membered(B))))) # label(cc19_membered) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 44 (all A (v5_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B) & natural(B) & v1_int_1(B) & v1_rat_1(B) & v1_xreal_0(B))))) # label(cc14_membered) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 45 (all A (empty(A) -> relation(A))) # label(cc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 46 (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]. 0.06/0.47 47 (all A -empty(powerset(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 48 (all A all B (element(A,B) -> empty(B) | in(A,B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 49 (all A all B (in(A,B) -> element(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 50 (exists A (empty(A) & relation(A))) # label(rc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 51 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 52 (all A all B -(empty(B) & B != A & empty(A))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 53 (all A exists B (element(B,powerset(A)) & empty(B))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 54 (all A (v5_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B) & v2_membered(B) & v4_membered(B) & v5_membered(B) & v3_membered(B))))) # label(cc20_membered) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 55 (all A (empty(A) -> v1_membered(A) & v2_membered(A) & v5_membered(A) & v4_membered(A) & v3_membered(A))) # label(cc15_membered) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 56 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 57 (all A all B -empty(ordered_pair(A,B))) # label(fc1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.47 58 -(all A all B (element(B,powerset(powerset(the_carrier(A)))) & one_sorted_str(A) -> ((all C all D all E ((all G (element(G,powerset(the_carrier(A))) -> (C = G -> E = subset_complement(the_carrier(A),G)))) & (all F (element(F,powerset(the_carrier(A))) -> (C = F -> D = subset_complement(the_carrier(A),F)))) & in(C,B) -> E = D)) & (all C -(in(C,B) & (all D -(all H (element(H,powerset(the_carrier(A))) -> (H = C -> subset_complement(the_carrier(A),H) = D)))))) -> (exists C (relation(C) & function(C) & B = relation_dom(C) & (all D (in(D,B) -> (all I (element(I,powerset(the_carrier(A))) -> (D = I -> apply(C,D) = subset_complement(the_carrier(A),I))))))))))) # label(s2_funct_1__e4_7_2__tops_2) # label(negated_conjecture) # label(non_clause). [assumption]. 0.06/0.47 0.06/0.47 ============================== end of process non-clausal formulas === 0.06/0.47 0.06/0.47 ============================== PROCESS INITIAL CLAUSES =============== 0.06/0.47 0.06/0.47 ============================== PREDICATE ELIMINATION ================= 0.06/0.47 59 -relation(A) | in(ordered_pair(f1(A,B),f2(A,B)),A) | in(f1(A,B),B) | relation_dom(A) = B # label(d4_relat_1) # label(axiom). [clausify(4)]. 0.06/0.47 60 -empty(A) | relation(relation_dom(A)) # label(fc7_relat_1) # label(axiom). [clausify(1)]. 0.06/0.47 Derived: in(ordered_pair(f1(relation_dom(A),B),f2(relation_dom(A),B)),relation_dom(A)) | in(f1(relation_dom(A),B),B) | relation_dom(relation_dom(A)) = B | -empty(A). [resolve(59,a,60,b)]. 0.06/0.47 61 -relation(A) | -in(ordered_pair(f1(A,B),C),A) | -in(f1(A,B),B) | relation_dom(A) = B # label(d4_relat_1) # label(axiom). [clausify(4)]. 0.06/0.47 Derived: -in(ordered_pair(f1(relation_dom(A),B),C),relation_dom(A)) | -in(f1(relation_dom(A),B),B) | relation_dom(relation_dom(A)) = B | -empty(A). [resolve(61,a,60,b)]. 0.06/0.47 62 -relation(A) | -in(ordered_pair(B,C),A) | in(B,D) | relation_dom(A) != D # label(d4_relat_1) # label(axiom). [clausify(4)]. 0.06/0.47 Derived: -in(ordered_pair(A,B),relation_dom(C)) | in(A,D) | relation_dom(relation_dom(C)) != D | -empty(C). [resolve(62,a,60,b)]. 0.06/0.47 63 -relation(A) | in(ordered_pair(B,f3(A,C,B)),A) | -in(B,C) | relation_dom(A) != C # label(d4_relat_1) # label(axiom). [clausify(4)]. 0.06/0.47 Derived: in(ordered_pair(A,f3(relation_dom(B),C,A)),relation_dom(B)) | -in(A,C) | relation_dom(relation_dom(B)) != C | -empty(B). [resolve(63,a,60,b)]. 0.06/0.47 64 -relation(A) | -function(A) | -in(B,relation_dom(A)) | apply(A,B) != C | in(ordered_pair(B,C),A) # label(d4_funct_1) # label(axiom). [clausify(7)]. 0.06/0.47 Derived: -function(relation_dom(A)) | -in(B,relation_dom(relation_dom(A))) | apply(relation_dom(A),B) != C | in(ordered_pair(B,C),relation_dom(A)) | -empty(A). [resolve(64,a,60,b)]. 0.06/0.47 65 -relation(A) | -function(A) | -in(B,relation_dom(A)) | apply(A,B) = C | -in(ordered_pair(B,C),A) # label(d4_funct_1) # label(axiom). [clausify(7)]. 0.06/0.47 Derived: -function(relation_dom(A)) | -in(B,relation_dom(relation_dom(A))) | apply(relation_dom(A),B) = C | -in(ordered_pair(B,C),relation_dom(A)) | -empty(A). [resolve(65,a,60,b)]. 0.06/0.47 66 -relation(A) | -function(A) | in(B,relation_dom(A)) | apply(A,B) != C | empty_set = C # label(d4_funct_1) # label(axiom). [clausify(7)]. 0.06/0.47 Derived: -function(relation_dom(A)) | in(B,relation_dom(relation_dom(A))) | apply(relation_dom(A),B) != C | empty_set = C | -empty(A). [resolve(66,a,60,b)]. 0.06/0.47 67 -relation(A) | -function(A) | in(B,relation_dom(A)) | apply(A,B) = C | empty_set != C # label(d4_funct_1) # label(axiom). [clausify(7)]. 0.06/0.47 Derived: -function(relation_dom(A)) | in(B,relation_dom(relation_dom(A))) | apply(relation_dom(A),B) = C | empty_set != C | -empty(A). [resolve(67,a,60,b)]. 0.06/0.47 68 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | relation(f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | in(ordered_pair(f1(f7(B,A),C),f2(f7(B,A),C)),f7(B,A)) | in(f1(f7(B,A),C),C) | relation_dom(f7(B,A)) = C. [resolve(68,d,59,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | -in(ordered_pair(f1(f7(B,A),C),D),f7(B,A)) | -in(f1(f7(B,A),C),C) | relation_dom(f7(B,A)) = C. [resolve(68,d,61,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | -in(ordered_pair(C,D),f7(B,A)) | in(C,E) | relation_dom(f7(B,A)) != E. [resolve(68,d,62,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | in(ordered_pair(C,f3(f7(B,A),D,C)),f7(B,A)) | -in(C,D) | relation_dom(f7(B,A)) != D. [resolve(68,d,63,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | -function(f7(B,A)) | -in(C,relation_dom(f7(B,A))) | apply(f7(B,A),C) != D | in(ordered_pair(C,D),f7(B,A)). [resolve(68,d,64,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | -function(f7(B,A)) | -in(C,relation_dom(f7(B,A))) | apply(f7(B,A),C) = D | -in(ordered_pair(C,D),f7(B,A)). [resolve(68,d,65,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | -function(f7(B,A)) | in(C,relation_dom(f7(B,A))) | apply(f7(B,A),C) != D | empty_set = D. [resolve(68,d,66,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | -function(f7(B,A)) | in(C,relation_dom(f7(B,A))) | apply(f7(B,A),C) = D | empty_set != D. [resolve(68,d,67,a)]. 0.06/0.47 69 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | relation(f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | in(ordered_pair(f1(f7(B,A),D),f2(f7(B,A),D)),f7(B,A)) | in(f1(f7(B,A),D),D) | relation_dom(f7(B,A)) = D. [resolve(69,f,59,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | -in(ordered_pair(f1(f7(B,A),D),E),f7(B,A)) | -in(f1(f7(B,A),D),D) | relation_dom(f7(B,A)) = D. [resolve(69,f,61,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | -in(ordered_pair(D,E),f7(B,A)) | in(D,F) | relation_dom(f7(B,A)) != F. [resolve(69,f,62,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | in(ordered_pair(D,f3(f7(B,A),E,D)),f7(B,A)) | -in(D,E) | relation_dom(f7(B,A)) != E. [resolve(69,f,63,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | -function(f7(B,A)) | -in(D,relation_dom(f7(B,A))) | apply(f7(B,A),D) != E | in(ordered_pair(D,E),f7(B,A)). [resolve(69,f,64,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | -function(f7(B,A)) | -in(D,relation_dom(f7(B,A))) | apply(f7(B,A),D) = E | -in(ordered_pair(D,E),f7(B,A)). [resolve(69,f,65,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | -function(f7(B,A)) | in(D,relation_dom(f7(B,A))) | apply(f7(B,A),D) != E | empty_set = E. [resolve(69,f,66,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | -function(f7(B,A)) | in(D,relation_dom(f7(B,A))) | apply(f7(B,A),D) = E | empty_set != E. [resolve(69,f,67,a)]. 0.06/0.47 70 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | relation(f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | in(ordered_pair(f1(f7(B,A),D),f2(f7(B,A),D)),f7(B,A)) | in(f1(f7(B,A),D),D) | relation_dom(f7(B,A)) = D. [resolve(70,f,59,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | -in(ordered_pair(f1(f7(B,A),D),E),f7(B,A)) | -in(f1(f7(B,A),D),D) | relation_dom(f7(B,A)) = D. [resolve(70,f,61,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | -in(ordered_pair(D,E),f7(B,A)) | in(D,F) | relation_dom(f7(B,A)) != F. [resolve(70,f,62,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | in(ordered_pair(D,f3(f7(B,A),E,D)),f7(B,A)) | -in(D,E) | relation_dom(f7(B,A)) != E. [resolve(70,f,63,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | -function(f7(B,A)) | -in(D,relation_dom(f7(B,A))) | apply(f7(B,A),D) != E | in(ordered_pair(D,E),f7(B,A)). [resolve(70,f,64,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | -function(f7(B,A)) | -in(D,relation_dom(f7(B,A))) | apply(f7(B,A),D) = E | -in(ordered_pair(D,E),f7(B,A)). [resolve(70,f,65,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | -function(f7(B,A)) | in(D,relation_dom(f7(B,A))) | apply(f7(B,A),D) != E | empty_set = E. [resolve(70,f,66,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | -function(f7(B,A)) | in(D,relation_dom(f7(B,A))) | apply(f7(B,A),D) = E | empty_set != E. [resolve(70,f,67,a)]. 0.06/0.47 71 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | relation(f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | in(ordered_pair(f1(f7(B,A),C),f2(f7(B,A),C)),f7(B,A)) | in(f1(f7(B,A),C),C) | relation_dom(f7(B,A)) = C. [resolve(71,d,59,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | -in(ordered_pair(f1(f7(B,A),C),D),f7(B,A)) | -in(f1(f7(B,A),C),C) | relation_dom(f7(B,A)) = C. [resolve(71,d,61,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | -in(ordered_pair(C,D),f7(B,A)) | in(C,E) | relation_dom(f7(B,A)) != E. [resolve(71,d,62,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | in(ordered_pair(C,f3(f7(B,A),D,C)),f7(B,A)) | -in(C,D) | relation_dom(f7(B,A)) != D. [resolve(71,d,63,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | -function(f7(B,A)) | -in(C,relation_dom(f7(B,A))) | apply(f7(B,A),C) != D | in(ordered_pair(C,D),f7(B,A)). [resolve(71,d,64,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | -function(f7(B,A)) | -in(C,relation_dom(f7(B,A))) | apply(f7(B,A),C) = D | -in(ordered_pair(C,D),f7(B,A)). [resolve(71,d,65,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | -function(f7(B,A)) | in(C,relation_dom(f7(B,A))) | apply(f7(B,A),C) != D | empty_set = D. [resolve(71,d,66,a)]. 0.06/0.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | -function(f7(B,A)) | in(C,relation_dom(f7(B,A))) | apply(f7(B,A),C) = D | empty_set != D. [resolve(71,d,67,a)]. 0.06/0.47 72 relation(c3) # label(rc2_relat_1) # label(axiom). [clausify(16)]. 0.06/0.47 Derived: in(ordered_pair(f1(c3,A),f2(c3,A)),c3) | in(f1(c3,A),A) | relation_dom(c3) = A. [resolve(72,a,59,a)]. 0.06/0.47 Derived: -in(ordered_pair(f1(c3,A),B),c3) | -in(f1(c3,A),A) | relation_dom(c3) = A. [resolve(72,a,61,a)]. 0.06/0.47 Derived: -in(ordered_pair(A,B),c3) | in(A,C) | relation_dom(c3) != C. [resolve(72,a,62,a)]. 0.06/0.47 Derived: in(ordered_pair(A,f3(c3,B,A)),c3) | -in(A,B) | relation_dom(c3) != B. [resolve(72,a,63,a)]. 0.06/0.47 Derived: -function(c3) | -in(A,relation_dom(c3)) | apply(c3,A) != B | in(ordered_pair(A,B),c3). [resolve(72,a,64,a)]. 0.06/0.47 Derived: -function(c3) | -in(A,relation_dom(c3)) | apply(c3,A) = B | -in(ordered_pair(A,B),c3). [resolve(72,a,65,a)]. 0.06/0.47 Derived: -function(c3) | in(A,relation_dom(c3)) | apply(c3,A) != B | empty_set = B. [resolve(72,a,66,a)]. 0.06/0.47 Derived: -function(c3) | in(A,relation_dom(c3)) | apply(c3,A) = B | empty_set != B. [resolve(72,a,67,a)]. 0.06/0.47 73 relation(empty_set) # label(fc12_relat_1_AndRHS_AndLHS) # label(axiom). [assumption]. 0.06/0.47 Derived: in(ordered_pair(f1(empty_set,A),f2(empty_set,A)),empty_set) | in(f1(empty_set,A),A) | relation_dom(empty_set) = A. [resolve(73,a,59,a)]. 0.06/0.47 Derived: -in(ordered_pair(f1(empty_set,A),B),empty_set) | -in(f1(empty_set,A),A) | relation_dom(empty_set) = A. [resolve(73,a,61,a)]. 0.06/0.47 Derived: -in(ordered_pair(A,B),empty_set) | in(A,C) | relation_dom(empty_set) != C. [resolve(73,a,62,a)]. 0.06/0.47 Derived: in(ordered_pair(A,f3(empty_set,B,A)),empty_set) | -in(A,B) | relation_dom(empty_set) != B. [resolve(73,a,63,a)]. 0.06/0.47 Derived: -function(empty_set) | -in(A,relation_dom(empty_set)) | apply(empty_set,A) != B | in(ordered_pair(A,B),empty_set). [resolve(73,a,64,a)]. 0.06/0.47 Derived: -function(empty_set) | -in(A,relation_dom(empty_set)) | apply(empty_set,A) = B | -in(ordered_pair(A,B),empty_set). [resolve(73,a,65,a)]. 0.06/0.47 Derived: -function(empty_set) | in(A,relation_dom(empty_set)) | apply(empty_set,A) != B | empty_set = B. [resolve(73,a,66,a)]. 0.06/0.47 Derived: -function(empty_set) | in(A,relation_dom(empty_set)) | apply(empty_set,A) = B | empty_set != B. [resolve(73,a,67,a)]. 0.06/0.47 74 relation(c5) # label(rc1_funct_1) # label(axiom). [clausify(25)]. 0.06/0.47 Derived: in(ordered_pair(f1(c5,A),f2(c5,A)),c5) | in(f1(c5,A),A) | relation_dom(c5) = A. [resolve(74,a,59,a)]. 0.06/0.47 Derived: -in(ordered_pair(f1(c5,A),B),c5) | -in(f1(c5,A),A) | relation_dom(c5) = A. [resolve(74,a,61,a)]. 0.06/0.47 Derived: -in(ordered_pair(A,B),c5) | in(A,C) | relation_dom(c5) != C. [resolve(74,a,62,a)]. 0.06/0.47 Derived: in(ordered_pair(A,f3(c5,B,A)),c5) | -in(A,B) | relation_dom(c5) != B. [resolve(74,a,63,a)]. 0.06/0.47 Derived: -function(c5) | -in(A,relation_dom(c5)) | apply(c5,A) != B | in(ordered_pair(A,B),c5). [resolve(74,a,64,a)]. 0.06/0.47 Derived: -function(c5) | -in(A,relation_dom(c5)) | apply(c5,A) = B | -in(ordered_pair(A,B),c5). [resolve(74,a,65,a)]. 0.06/0.47 Derived: -function(c5) | in(A,relation_dom(c5)) | apply(c5,A) != B | empty_set = B. [resolve(74,a,66,a)]. 0.06/0.47 Derived: -function(c5) | in(A,relation_dom(c5)) | apply(c5,A) = B | empty_set != B. [resolve(74,a,67,a)]. 0.06/0.47 75 relation(c6) # label(rc3_relat_1) # label(axiom). [clausify(30)]. 0.06/0.47 Derived: in(ordered_pair(f1(c6,A),f2(c6,A)),c6) | in(f1(c6,A),A) | relation_dom(c6) = A. [resolve(75,a,59,a)]. 0.06/0.47 Derived: -in(ordered_pair(f1(c6,A),B),c6) | -in(f1(c6,A),A) | relation_dom(c6) = A. [resolve(75,a,61,a)]. 0.06/0.47 Derived: -in(ordered_pair(A,B),c6) | in(A,C) | relation_dom(c6) != C. [resolve(75,a,62,a)]. 0.06/0.47 Derived: in(ordered_pair(A,f3(c6,B,A)),c6) | -in(A,B) | relation_dom(c6) != B. [resolve(75,a,63,a)]. 0.06/0.47 Derived: -function(c6) | -in(A,relation_dom(c6)) | apply(c6,A) != B | in(ordered_pair(A,B),c6). [resolve(75,a,64,a)]. 0.06/0.47 Derived: -function(c6) | -in(A,relation_dom(c6)) | apply(c6,A) = B | -in(ordered_pair(A,B),c6). [resolve(75,a,65,a)]. 0.06/0.47 Derived: -function(c6) | in(A,relation_dom(c6)) | apply(c6,A) != B | empty_set = B. [resolve(75,a,66,a)]. 0.06/0.47 Derived: -function(c6) | in(A,relation_dom(c6)) | apply(c6,A) = B | empty_set != B. [resolve(75,a,67,a)]. 0.06/0.47 76 -relation(A) | empty(A) | -empty(relation_dom(A)) # label(fc5_relat_1) # label(axiom). [clausify(31)]. 0.06/0.47 Derived: empty(relation_dom(A)) | -empty(relation_dom(relation_dom(A))) | -empty(A). [resolve(76,a,60,b)]. 0.06/0.47 Derived: empty(f7(A,B)) | -empty(relation_dom(f7(A,B))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | in(f4(A,B),B). [resolve(76,a,68,d)]. 0.06/0.47 Derived: empty(f7(A,B)) | -empty(relation_dom(f7(A,B))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f6(A,B). [resolve(76,a,69,f)]. 0.06/0.47 Derived: empty(f7(A,B)) | -empty(relation_dom(f7(A,B))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f5(A,B). [resolve(76,a,70,f)]. 0.06/0.47 Derived: empty(f7(A,B)) | -empty(relation_dom(f7(A,B))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | f6(A,B) != f5(A,B). [resolve(76,a,71,d)]. 0.06/0.47 Derived: empty(c3) | -empty(relation_dom(c3)). [resolve(76,a,72,a)]. 0.06/0.47 Derived: empty(c5) | -empty(relation_dom(c5)). [resolve(76,a,74,a)]. 0.06/0.47 Derived: empty(c6) | -empty(relation_dom(c6)). [resolve(76,a,75,a)]. 0.06/0.47 77 relation(empty_set) # label(fc4_relat_1_AndLHS) # label(axiom). [assumption]. 0.06/0.47 78 -empty(A) | relation(A) # label(cc1_relat_1) # label(axiom). [clausify(45)]. 0.06/0.47 Derived: -empty(A) | in(ordered_pair(f1(A,B),f2(A,B)),A) | in(f1(A,B),B) | relation_dom(A) = B. [resolve(78,b,59,a)]. 0.06/0.47 Derived: -empty(A) | -in(ordered_pair(f1(A,B),C),A) | -in(f1(A,B),B) | relation_dom(A) = B. [resolve(78,b,61,a)]. 0.06/0.47 Derived: -empty(A) | -in(ordered_pair(B,C),A) | in(B,D) | relation_dom(A) != D. [resolve(78,b,62,a)]. 0.06/0.47 Derived: -empty(A) | in(ordered_pair(B,f3(A,C,B)),A) | -in(B,C) | relation_dom(A) != C. [resolve(78,b,63,a)]. 0.06/0.47 Derived: -empty(A) | -function(A) | -in(B,relation_dom(A)) | apply(A,B) != C | in(ordered_pair(B,C),A). [resolve(78,b,64,a)]. 0.06/0.47 Derived: -empty(A) | -function(A) | -in(B,relation_dom(A)) | apply(A,B) = C | -in(ordered_pair(B,C),A). [resolve(78,b,65,a)]. 0.06/0.47 Derived: -empty(A) | -function(A) | in(B,relation_dom(A)) | apply(A,B) != C | empty_set = C. [resolve(78,b,66,a)]. 0.06/0.47 Derived: -empty(A) | -function(A) | in(B,relation_dom(A)) | apply(A,B) = C | empty_set != C. [resolve(78,b,67,a)]. 0.06/0.47 79 relation(c7) # label(rc1_relat_1) # label(axiom). [clausify(50)]. 0.06/0.47 Derived: in(ordered_pair(f1(c7,A),f2(c7,A)),c7) | in(f1(c7,A),A) | relation_dom(c7) = A. [resolve(79,a,59,a)]. 0.06/0.47 Derived: -in(ordered_pair(f1(c7,A),B),c7) | -in(f1(c7,A),A) | relation_dom(c7) = A. [resolve(79,a,61,a)]. 0.06/0.47 Derived: -in(ordered_pair(A,B),c7) | in(A,C) | relation_dom(c7) != C. [resolve(79,a,62,a)]. 0.06/0.47 Derived: in(ordered_pair(A,f3(c7,B,A)),c7) | -in(A,B) | relation_dom(c7) != B. [resolve(79,a,63,a)]. 0.06/0.47 Derived: -function(c7) | -in(A,relation_dom(c7)) | apply(c7,A) != B | in(ordered_pair(A,B),c7). [resolve(79,a,64,a)]. 0.06/0.47 Derived: -function(c7) | -in(A,relation_dom(c7)) | apply(c7,A) = B | -in(ordered_pair(A,B),c7). [resolve(79,a,65,a)]. 0.06/0.47 Derived: -function(c7) | in(A,relation_dom(c7)) | apply(c7,A) != B | empty_set = B. [resolve(79,a,66,a)]. 0.06/0.47 Derived: -function(c7) | in(A,relation_dom(c7)) | apply(c7,A) = B | empty_set != B. [resolve(79,a,67,a)]. 0.06/0.47 Derived: empty(c7) | -empty(relation_dom(c7)). [resolve(79,a,76,a)]. 0.06/0.47 80 -relation(A) | -function(A) | relation_dom(A) != c9 | in(f16(A),c9) # label(s2_funct_1__e4_7_2__tops_2) # label(negated_conjecture). [clausify(58)]. 0.06/0.47 Derived: -function(relation_dom(A)) | relation_dom(relation_dom(A)) != c9 | in(f16(relation_dom(A)),c9) | -empty(A). [resolve(80,a,60,b)]. 0.06/0.47 Derived: -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | in(f16(f7(A,B)),c9) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | in(f4(A,B),B). [resolve(80,a,68,d)]. 0.06/0.47 Derived: -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | in(f16(f7(A,B)),c9) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f6(A,B). [resolve(80,a,69,f)]. 0.06/0.47 Derived: -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | in(f16(f7(A,B)),c9) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f5(A,B). [resolve(80,a,70,f)]. 0.06/0.47 Derived: -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | in(f16(f7(A,B)),c9) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | f6(A,B) != f5(A,B). [resolve(80,a,71,d)]. 0.06/0.47 Derived: -function(c3) | relation_dom(c3) != c9 | in(f16(c3),c9). [resolve(80,a,72,a)]. 0.06/0.47 Derived: -function(empty_set) | relation_dom(empty_set) != c9 | in(f16(empty_set),c9). [resolve(80,a,73,a)]. 0.06/0.47 Derived: -function(c5) | relation_dom(c5) != c9 | in(f16(c5),c9). [resolve(80,a,74,a)]. 0.06/0.47 Derived: -function(c6) | relation_dom(c6) != c9 | in(f16(c6),c9). [resolve(80,a,75,a)]. 0.06/0.47 Derived: -function(A) | relation_dom(A) != c9 | in(f16(A),c9) | -empty(A). [resolve(80,a,78,b)]. 0.06/0.47 Derived: -function(c7) | relation_dom(c7) != c9 | in(f16(c7),c9). [resolve(80,a,79,a)]. 0.06/0.47 81 -relation(A) | -function(A) | relation_dom(A) != c9 | element(f17(A),powerset(the_carrier(c8))) # label(s2_funct_1__e4_7_2__tops_2) # label(negated_conjecture). [clausify(58)]. 0.06/0.47 Derived: -function(relation_dom(A)) | relation_dom(relation_dom(A)) != c9 | element(f17(relation_dom(A)),powerset(the_carrier(c8))) | -empty(A). [resolve(81,a,60,b)]. 0.06/0.47 Derived: -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | element(f17(f7(A,B)),powerset(the_carrier(c8))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | in(f4(A,B),B). [resolve(81,a,68,d)]. 0.06/0.47 Derived: -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | element(f17(f7(A,B)),powerset(the_carrier(c8))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f6(A,B). [resolve(81,a,69,f)]. 0.06/0.48 Derived: -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | element(f17(f7(A,B)),powerset(the_carrier(c8))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f5(A,B). [resolve(81,a,70,f)]. 0.06/0.48 Derived: -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | element(f17(f7(A,B)),powerset(the_carrier(c8))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | f6(A,B) != f5(A,B). [resolve(81,a,71,d)]. 0.06/0.48 Derived: -function(c3) | relation_dom(c3) != c9 | element(f17(c3),powerset(the_carrier(c8))). [resolve(81,a,72,a)]. 0.06/0.48 Derived: -function(empty_set) | relation_dom(empty_set) != c9 | element(f17(empty_set),powerset(the_carrier(c8))). [resolve(81,a,73,a)]. 0.06/0.48 Derived: -function(c5) | relation_dom(c5) != c9 | element(f17(c5),powerset(the_carrier(c8))). [resolve(81,a,74,a)]. 0.06/0.48 Derived: -function(c6) | relation_dom(c6) != c9 | element(f17(c6),powerset(the_carrier(c8))). [resolve(81,a,75,a)]. 0.06/0.48 Derived: -function(A) | relation_dom(A) != c9 | element(f17(A),powerset(the_carrier(c8))) | -empty(A). [resolve(81,a,78,b)]. 0.06/0.48 Derived: -function(c7) | relation_dom(c7) != c9 | element(f17(c7),powerset(the_carrier(c8))). [resolve(81,a,79,a)]. 0.06/0.48 82 -relation(A) | -function(A) | relation_dom(A) != c9 | f17(A) = f16(A) # label(s2_funct_1__e4_7_2__tops_2) # label(negated_conjecture). [clausify(58)]. 0.06/0.48 Derived: -function(relation_dom(A)) | relation_dom(relation_dom(A)) != c9 | f17(relation_dom(A)) = f16(relation_dom(A)) | -empty(A). [resolve(82,a,60,b)]. 0.06/0.48 Derived: -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | f17(f7(A,B)) = f16(f7(A,B)) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | in(f4(A,B),B). [resolve(82,a,68,d)]. 0.06/0.48 Derived: -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | f17(f7(A,B)) = f16(f7(A,B)) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f6(A,B). [resolve(82,a,69,f)]. 0.06/0.48 Derived: -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | f17(f7(A,B)) = f16(f7(A,B)) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f5(A,B). [resolve(82,a,70,f)]. 0.06/0.48 Derived: -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | f17(f7(A,B)) = f16(f7(A,B)) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | f6(A,B) != f5(A,B). [resolve(82,a,71,d)]. 0.06/0.48 Derived: -function(c3) | relation_dom(c3) != c9 | f17(c3) = f16(c3). [resolve(82,a,72,a)]. 0.06/0.48 Derived: -function(empty_set) | relation_dom(empty_set) != c9 | f17(empty_set) = f16(empty_set). [resolve(82,a,73,a)]. 0.06/0.48 Derived: -function(c5) | relation_dom(c5) != c9 | f17(c5) = f16(c5). [resolve(82,a,74,a)]. 0.06/0.48 Derived: -function(c6) | relation_dom(c6) != c9 | f17(c6) = f16(c6). [resolve(82,a,75,a)]. 0.06/0.48 Derived: -function(A) | relation_dom(A) != c9 | f17(A) = f16(A) | -empty(A). [resolve(82,a,78,b)]. 0.06/0.48 Derived: -function(c7) | relation_dom(c7) != c9 | f17(c7) = f16(c7). [resolve(82,a,79,a)]. 0.06/0.48 83 -relation(A) | -function(A) | relation_dom(A) != c9 | apply(A,f16(A)) != subset_complement(the_carrier(c8),f17(A)) # label(s2_funct_1__e4_7_2__tops_2) # label(negated_conjecture). [clausify(58)]. 0.06/0.48 Derived: -function(relation_dom(A)) | relation_dom(relation_dom(A)) != c9 | apply(relation_dom(A),f16(relation_dom(A))) != subset_complement(the_carrier(c8),f17(relation_dom(A))) | -empty(A). [resolve(83,a,60,b)]. 0.06/0.48 Derived: -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | apply(f7(A,B),f16(f7(A,B))) != subset_complement(the_carrier(c8),f17(f7(A,B))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | in(f4(A,B),B). [resolve(83,a,68,d)]. 0.06/0.48 Derived: -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | apply(f7(A,B),f16(f7(A,B))) != subset_complement(the_carrier(c8),f17(f7(A,B))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f6(A,B). [resolve(83,a,69,f)]. 0.06/0.48 Derived: -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | apply(f7(A,B),f16(f7(A,B))) != subset_complement(the_carrier(c8),f17(f7(A,B))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f5(A,B). [resolve(83,a,70,f)]. 0.06/0.48 Derived: -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | apply(f7(A,B),f16(f7(A,B))) != subset_complement(the_carrier(c8),f17(f7(A,B))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | f6(A,B) != f5(A,B). [resolve(83,a,71,d)]. 0.06/0.48 Derived: -function(c3) | relation_dom(c3) != c9 | apply(c3,f16(c3)) != subset_complement(the_carrier(c8),f17(c3)). [resolve(83,a,72,a)]. 0.06/0.48 Derived: -function(empty_set) | relation_dom(empty_set) != c9 | apply(empty_set,f16(empty_set)) != subset_complement(the_carrier(c8),f17(empty_set)). [resolve(83,a,73,a)]. 0.06/0.48 Derived: -function(c5) | relation_dom(c5) != c9 | apply(c5,f16(c5)) != subset_complement(the_carrier(c8),f17(c5)). [resolve(83,a,74,a)]. 0.06/0.48 Derived: -function(c6) | relation_dom(c6) != c9 | apply(c6,f16(c6)) != subset_complement(the_carrier(c8),f17(c6)). [resolve(83,a,75,a)]. 0.06/0.48 Derived: -function(A) | relation_dom(A) != c9 | apply(A,f16(A)) != subset_complement(the_carrier(c8),f17(A)) | -empty(A). [resolve(83,a,78,b)]. 0.06/0.48 Derived: -function(c7) | relation_dom(c7) != c9 | apply(c7,f16(c7)) != subset_complement(the_carrier(c8),f17(c7)). [resolve(83,a,79,a)]. 0.06/0.48 84 one_sorted_str(c8) # label(s2_funct_1__e4_7_2__tops_2) # label(negated_conjecture). [clausify(58)]. 0.06/0.48 85 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | function(f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 86 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | -in(C,A) | element(f8(B,A,C,D),powerset(the_carrier(B))) | in(ordered_pair(C,D),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 87 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | -in(C,A) | f8(B,A,C,D) = C | in(ordered_pair(C,D),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 88 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | -in(C,A) | subset_complement(the_carrier(B),f8(B,A,C,D)) != D | in(ordered_pair(C,D),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 89 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | in(C,A) | -in(ordered_pair(C,D),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 90 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | -element(C,powerset(the_carrier(B))) | C != D | subset_complement(the_carrier(B),C) = E | -in(ordered_pair(D,E),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 91 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | function(f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 92 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | -in(D,A) | element(f8(B,A,D,E),powerset(the_carrier(B))) | in(ordered_pair(D,E),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 93 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | -in(D,A) | f8(B,A,D,E) = D | in(ordered_pair(D,E),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 94 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | -in(D,A) | subset_complement(the_carrier(B),f8(B,A,D,E)) != E | in(ordered_pair(D,E),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 95 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | in(D,A) | -in(ordered_pair(D,E),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 96 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | -element(D,powerset(the_carrier(B))) | D != E | subset_complement(the_carrier(B),D) = F | -in(ordered_pair(E,F),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 97 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | function(f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 98 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | -in(D,A) | element(f8(B,A,D,E),powerset(the_carrier(B))) | in(ordered_pair(D,E),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 99 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | -in(D,A) | f8(B,A,D,E) = D | in(ordered_pair(D,E),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 100 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | -in(D,A) | subset_complement(the_carrier(B),f8(B,A,D,E)) != E | in(ordered_pair(D,E),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 101 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | in(D,A) | -in(ordered_pair(D,E),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 102 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | -element(D,powerset(the_carrier(B))) | D != E | subset_complement(the_carrier(B),D) = F | -in(ordered_pair(E,F),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 103 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | function(f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 104 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | -in(C,A) | element(f8(B,A,C,D),powerset(the_carrier(B))) | in(ordered_pair(C,D),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 105 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | -in(C,A) | f8(B,A,C,D) = C | in(ordered_pair(C,D),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 106 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | -in(C,A) | subset_complement(the_carrier(B),f8(B,A,C,D)) != D | in(ordered_pair(C,D),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 107 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | in(C,A) | -in(ordered_pair(C,D),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 108 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | -element(C,powerset(the_carrier(B))) | C != D | subset_complement(the_carrier(B),C) = E | -in(ordered_pair(D,E),f7(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(axiom). [clausify(13)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A) | function(f7(c8,A)). [resolve(84,a,85,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A) | -in(B,A) | element(f8(c8,A,B,C),powerset(the_carrier(c8))) | in(ordered_pair(B,C),f7(c8,A)). [resolve(84,a,86,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A) | -in(B,A) | f8(c8,A,B,C) = B | in(ordered_pair(B,C),f7(c8,A)). [resolve(84,a,87,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A) | -in(B,A) | subset_complement(the_carrier(c8),f8(c8,A,B,C)) != C | in(ordered_pair(B,C),f7(c8,A)). [resolve(84,a,88,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A) | in(B,A) | -in(ordered_pair(B,C),f7(c8,A)). [resolve(84,a,89,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A) | -element(B,powerset(the_carrier(c8))) | B != C | subset_complement(the_carrier(c8),B) = D | -in(ordered_pair(C,D),f7(c8,A)). [resolve(84,a,90,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A) | function(f7(c8,A)). [resolve(84,a,91,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A) | -in(C,A) | element(f8(c8,A,C,D),powerset(the_carrier(c8))) | in(ordered_pair(C,D),f7(c8,A)). [resolve(84,a,92,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A) | -in(C,A) | f8(c8,A,C,D) = C | in(ordered_pair(C,D),f7(c8,A)). [resolve(84,a,93,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A) | -in(C,A) | subset_complement(the_carrier(c8),f8(c8,A,C,D)) != D | in(ordered_pair(C,D),f7(c8,A)). [resolve(84,a,94,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A) | in(C,A) | -in(ordered_pair(C,D),f7(c8,A)). [resolve(84,a,95,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A) | -element(C,powerset(the_carrier(c8))) | C != D | subset_complement(the_carrier(c8),C) = E | -in(ordered_pair(D,E),f7(c8,A)). [resolve(84,a,96,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A) | function(f7(c8,A)). [resolve(84,a,97,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A) | -in(C,A) | element(f8(c8,A,C,D),powerset(the_carrier(c8))) | in(ordered_pair(C,D),f7(c8,A)). [resolve(84,a,98,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A) | -in(C,A) | f8(c8,A,C,D) = C | in(ordered_pair(C,D),f7(c8,A)). [resolve(84,a,99,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A) | -in(C,A) | subset_complement(the_carrier(c8),f8(c8,A,C,D)) != D | in(ordered_pair(C,D),f7(c8,A)). [resolve(84,a,100,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A) | in(C,A) | -in(ordered_pair(C,D),f7(c8,A)). [resolve(84,a,101,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A) | -element(C,powerset(the_carrier(c8))) | C != D | subset_complement(the_carrier(c8),C) = E | -in(ordered_pair(D,E),f7(c8,A)). [resolve(84,a,102,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A) | function(f7(c8,A)). [resolve(84,a,103,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A) | -in(B,A) | element(f8(c8,A,B,C),powerset(the_carrier(c8))) | in(ordered_pair(B,C),f7(c8,A)). [resolve(84,a,104,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A) | -in(B,A) | f8(c8,A,B,C) = B | in(ordered_pair(B,C),f7(c8,A)). [resolve(84,a,105,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A) | -in(B,A) | subset_complement(the_carrier(c8),f8(c8,A,B,C)) != C | in(ordered_pair(B,C),f7(c8,A)). [resolve(84,a,106,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A) | in(B,A) | -in(ordered_pair(B,C),f7(c8,A)). [resolve(84,a,107,b)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A) | -element(B,powerset(the_carrier(c8))) | B != C | subset_complement(the_carrier(c8),B) = D | -in(ordered_pair(C,D),f7(c8,A)). [resolve(84,a,108,b)]. 0.06/0.48 109 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | in(ordered_pair(f1(f7(B,A),C),f2(f7(B,A),C)),f7(B,A)) | in(f1(f7(B,A),C),C) | relation_dom(f7(B,A)) = C. [resolve(68,d,59,a)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A) | in(ordered_pair(f1(f7(c8,A),B),f2(f7(c8,A),B)),f7(c8,A)) | in(f1(f7(c8,A),B),B) | relation_dom(f7(c8,A)) = B. [resolve(109,b,84,a)]. 0.06/0.48 110 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | -in(ordered_pair(f1(f7(B,A),C),D),f7(B,A)) | -in(f1(f7(B,A),C),C) | relation_dom(f7(B,A)) = C. [resolve(68,d,61,a)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A) | -in(ordered_pair(f1(f7(c8,A),B),C),f7(c8,A)) | -in(f1(f7(c8,A),B),B) | relation_dom(f7(c8,A)) = B. [resolve(110,b,84,a)]. 0.06/0.48 111 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | -in(ordered_pair(C,D),f7(B,A)) | in(C,E) | relation_dom(f7(B,A)) != E. [resolve(68,d,62,a)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A) | -in(ordered_pair(B,C),f7(c8,A)) | in(B,D) | relation_dom(f7(c8,A)) != D. [resolve(111,b,84,a)]. 0.06/0.48 112 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | in(ordered_pair(C,f3(f7(B,A),D,C)),f7(B,A)) | -in(C,D) | relation_dom(f7(B,A)) != D. [resolve(68,d,63,a)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A) | in(ordered_pair(B,f3(f7(c8,A),C,B)),f7(c8,A)) | -in(B,C) | relation_dom(f7(c8,A)) != C. [resolve(112,b,84,a)]. 0.06/0.48 113 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | -function(f7(B,A)) | -in(C,relation_dom(f7(B,A))) | apply(f7(B,A),C) != D | in(ordered_pair(C,D),f7(B,A)). [resolve(68,d,64,a)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A) | -function(f7(c8,A)) | -in(B,relation_dom(f7(c8,A))) | apply(f7(c8,A),B) != C | in(ordered_pair(B,C),f7(c8,A)). [resolve(113,b,84,a)]. 0.06/0.48 114 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | -function(f7(B,A)) | -in(C,relation_dom(f7(B,A))) | apply(f7(B,A),C) = D | -in(ordered_pair(C,D),f7(B,A)). [resolve(68,d,65,a)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A) | -function(f7(c8,A)) | -in(B,relation_dom(f7(c8,A))) | apply(f7(c8,A),B) = C | -in(ordered_pair(B,C),f7(c8,A)). [resolve(114,b,84,a)]. 0.06/0.48 115 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | -function(f7(B,A)) | in(C,relation_dom(f7(B,A))) | apply(f7(B,A),C) != D | empty_set = D. [resolve(68,d,66,a)]. 0.06/0.48 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A) | -function(f7(c8,A)) | in(B,relation_dom(f7(c8,A))) | apply(f7(c8,A),B) != C | empty_set = C. [resolve(115,b,84,a)]. 0.06/0.48 116 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A),A) | -function(f7(B,A)) | in(C,relation_dom(f7(B,A))) | apply(f7(B,A),C) = D | empty_set != D. [resolve(68,d,67,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A) | -function(f7(c8,A)) | in(B,relation_dom(f7(c8,A))) | apply(f7(c8,A),B) = C | empty_set != C. [resolve(116,b,84,a)]. 0.06/0.49 117 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | in(ordered_pair(f1(f7(B,A),D),f2(f7(B,A),D)),f7(B,A)) | in(f1(f7(B,A),D),D) | relation_dom(f7(B,A)) = D. [resolve(69,f,59,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A) | in(ordered_pair(f1(f7(c8,A),C),f2(f7(c8,A),C)),f7(c8,A)) | in(f1(f7(c8,A),C),C) | relation_dom(f7(c8,A)) = C. [resolve(117,b,84,a)]. 0.06/0.49 118 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | -in(ordered_pair(f1(f7(B,A),D),E),f7(B,A)) | -in(f1(f7(B,A),D),D) | relation_dom(f7(B,A)) = D. [resolve(69,f,61,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A) | -in(ordered_pair(f1(f7(c8,A),C),D),f7(c8,A)) | -in(f1(f7(c8,A),C),C) | relation_dom(f7(c8,A)) = C. [resolve(118,b,84,a)]. 0.06/0.49 119 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | -in(ordered_pair(D,E),f7(B,A)) | in(D,F) | relation_dom(f7(B,A)) != F. [resolve(69,f,62,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A) | -in(ordered_pair(C,D),f7(c8,A)) | in(C,E) | relation_dom(f7(c8,A)) != E. [resolve(119,b,84,a)]. 0.06/0.49 120 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | in(ordered_pair(D,f3(f7(B,A),E,D)),f7(B,A)) | -in(D,E) | relation_dom(f7(B,A)) != E. [resolve(69,f,63,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A) | in(ordered_pair(C,f3(f7(c8,A),D,C)),f7(c8,A)) | -in(C,D) | relation_dom(f7(c8,A)) != D. [resolve(120,b,84,a)]. 0.06/0.49 121 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | -function(f7(B,A)) | -in(D,relation_dom(f7(B,A))) | apply(f7(B,A),D) != E | in(ordered_pair(D,E),f7(B,A)). [resolve(69,f,64,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A) | -function(f7(c8,A)) | -in(C,relation_dom(f7(c8,A))) | apply(f7(c8,A),C) != D | in(ordered_pair(C,D),f7(c8,A)). [resolve(121,b,84,a)]. 0.06/0.49 122 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | -function(f7(B,A)) | -in(D,relation_dom(f7(B,A))) | apply(f7(B,A),D) = E | -in(ordered_pair(D,E),f7(B,A)). [resolve(69,f,65,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A) | -function(f7(c8,A)) | -in(C,relation_dom(f7(c8,A))) | apply(f7(c8,A),C) = D | -in(ordered_pair(C,D),f7(c8,A)). [resolve(122,b,84,a)]. 0.06/0.49 123 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | -function(f7(B,A)) | in(D,relation_dom(f7(B,A))) | apply(f7(B,A),D) != E | empty_set = E. [resolve(69,f,66,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A) | -function(f7(c8,A)) | in(C,relation_dom(f7(c8,A))) | apply(f7(c8,A),C) != D | empty_set = D. [resolve(123,b,84,a)]. 0.06/0.49 124 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f6(B,A) | -function(f7(B,A)) | in(D,relation_dom(f7(B,A))) | apply(f7(B,A),D) = E | empty_set != E. [resolve(69,f,67,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A) | -function(f7(c8,A)) | in(C,relation_dom(f7(c8,A))) | apply(f7(c8,A),C) = D | empty_set != D. [resolve(124,b,84,a)]. 0.06/0.49 125 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | in(ordered_pair(f1(f7(B,A),D),f2(f7(B,A),D)),f7(B,A)) | in(f1(f7(B,A),D),D) | relation_dom(f7(B,A)) = D. [resolve(70,f,59,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A) | in(ordered_pair(f1(f7(c8,A),C),f2(f7(c8,A),C)),f7(c8,A)) | in(f1(f7(c8,A),C),C) | relation_dom(f7(c8,A)) = C. [resolve(125,b,84,a)]. 0.06/0.49 126 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | -in(ordered_pair(f1(f7(B,A),D),E),f7(B,A)) | -in(f1(f7(B,A),D),D) | relation_dom(f7(B,A)) = D. [resolve(70,f,61,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A) | -in(ordered_pair(f1(f7(c8,A),C),D),f7(c8,A)) | -in(f1(f7(c8,A),C),C) | relation_dom(f7(c8,A)) = C. [resolve(126,b,84,a)]. 0.06/0.49 127 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | -in(ordered_pair(D,E),f7(B,A)) | in(D,F) | relation_dom(f7(B,A)) != F. [resolve(70,f,62,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A) | -in(ordered_pair(C,D),f7(c8,A)) | in(C,E) | relation_dom(f7(c8,A)) != E. [resolve(127,b,84,a)]. 0.06/0.49 128 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | in(ordered_pair(D,f3(f7(B,A),E,D)),f7(B,A)) | -in(D,E) | relation_dom(f7(B,A)) != E. [resolve(70,f,63,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A) | in(ordered_pair(C,f3(f7(c8,A),D,C)),f7(c8,A)) | -in(C,D) | relation_dom(f7(c8,A)) != D. [resolve(128,b,84,a)]. 0.06/0.49 129 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | -function(f7(B,A)) | -in(D,relation_dom(f7(B,A))) | apply(f7(B,A),D) != E | in(ordered_pair(D,E),f7(B,A)). [resolve(70,f,64,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A) | -function(f7(c8,A)) | -in(C,relation_dom(f7(c8,A))) | apply(f7(c8,A),C) != D | in(ordered_pair(C,D),f7(c8,A)). [resolve(129,b,84,a)]. 0.06/0.49 130 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | -function(f7(B,A)) | -in(D,relation_dom(f7(B,A))) | apply(f7(B,A),D) = E | -in(ordered_pair(D,E),f7(B,A)). [resolve(70,f,65,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A) | -function(f7(c8,A)) | -in(C,relation_dom(f7(c8,A))) | apply(f7(c8,A),C) = D | -in(ordered_pair(C,D),f7(c8,A)). [resolve(130,b,84,a)]. 0.06/0.49 131 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | -function(f7(B,A)) | in(D,relation_dom(f7(B,A))) | apply(f7(B,A),D) != E | empty_set = E. [resolve(70,f,66,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A) | -function(f7(c8,A)) | in(C,relation_dom(f7(c8,A))) | apply(f7(c8,A),C) != D | empty_set = D. [resolve(131,b,84,a)]. 0.06/0.49 132 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A) | subset_complement(the_carrier(B),C) = f5(B,A) | -function(f7(B,A)) | in(D,relation_dom(f7(B,A))) | apply(f7(B,A),D) = E | empty_set != E. [resolve(70,f,67,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A) | -function(f7(c8,A)) | in(C,relation_dom(f7(c8,A))) | apply(f7(c8,A),C) = D | empty_set != D. [resolve(132,b,84,a)]. 0.06/0.49 133 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | in(ordered_pair(f1(f7(B,A),C),f2(f7(B,A),C)),f7(B,A)) | in(f1(f7(B,A),C),C) | relation_dom(f7(B,A)) = C. [resolve(71,d,59,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A) | in(ordered_pair(f1(f7(c8,A),B),f2(f7(c8,A),B)),f7(c8,A)) | in(f1(f7(c8,A),B),B) | relation_dom(f7(c8,A)) = B. [resolve(133,b,84,a)]. 0.06/0.49 134 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | -in(ordered_pair(f1(f7(B,A),C),D),f7(B,A)) | -in(f1(f7(B,A),C),C) | relation_dom(f7(B,A)) = C. [resolve(71,d,61,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A) | -in(ordered_pair(f1(f7(c8,A),B),C),f7(c8,A)) | -in(f1(f7(c8,A),B),B) | relation_dom(f7(c8,A)) = B. [resolve(134,b,84,a)]. 0.06/0.49 135 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | -in(ordered_pair(C,D),f7(B,A)) | in(C,E) | relation_dom(f7(B,A)) != E. [resolve(71,d,62,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A) | -in(ordered_pair(B,C),f7(c8,A)) | in(B,D) | relation_dom(f7(c8,A)) != D. [resolve(135,b,84,a)]. 0.06/0.49 136 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | in(ordered_pair(C,f3(f7(B,A),D,C)),f7(B,A)) | -in(C,D) | relation_dom(f7(B,A)) != D. [resolve(71,d,63,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A) | in(ordered_pair(B,f3(f7(c8,A),C,B)),f7(c8,A)) | -in(B,C) | relation_dom(f7(c8,A)) != C. [resolve(136,b,84,a)]. 0.06/0.49 137 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | -function(f7(B,A)) | -in(C,relation_dom(f7(B,A))) | apply(f7(B,A),C) != D | in(ordered_pair(C,D),f7(B,A)). [resolve(71,d,64,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A) | -function(f7(c8,A)) | -in(B,relation_dom(f7(c8,A))) | apply(f7(c8,A),B) != C | in(ordered_pair(B,C),f7(c8,A)). [resolve(137,b,84,a)]. 0.06/0.49 138 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | -function(f7(B,A)) | -in(C,relation_dom(f7(B,A))) | apply(f7(B,A),C) = D | -in(ordered_pair(C,D),f7(B,A)). [resolve(71,d,65,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A) | -function(f7(c8,A)) | -in(B,relation_dom(f7(c8,A))) | apply(f7(c8,A),B) = C | -in(ordered_pair(B,C),f7(c8,A)). [resolve(138,b,84,a)]. 0.06/0.49 139 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | -function(f7(B,A)) | in(C,relation_dom(f7(B,A))) | apply(f7(B,A),C) != D | empty_set = D. [resolve(71,d,66,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A) | -function(f7(c8,A)) | in(B,relation_dom(f7(c8,A))) | apply(f7(c8,A),B) != C | empty_set = C. [resolve(139,b,84,a)]. 0.06/0.49 140 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f6(B,A) != f5(B,A) | -function(f7(B,A)) | in(C,relation_dom(f7(B,A))) | apply(f7(B,A),C) = D | empty_set != D. [resolve(71,d,67,a)]. 0.06/0.49 Derived: -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A) | -function(f7(c8,A)) | in(B,relation_dom(f7(c8,A))) | apply(f7(c8,A),B) = C | empty_set != C. [resolve(140,b,84,a)]. 0.06/0.49 141 empty(f7(A,B)) | -empty(relation_dom(f7(A,B))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | in(f4(A,B),B). [resolve(76,a,68,d)]. 0.06/0.49 Derived: empty(f7(c8,A)) | -empty(relation_dom(f7(c8,A))) | -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A). [resolve(141,d,84,a)]. 0.06/0.49 142 empty(f7(A,B)) | -empty(relation_dom(f7(A,B))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f6(A,B). [resolve(76,a,69,f)]. 0.06/0.49 Derived: empty(f7(c8,A)) | -empty(relation_dom(f7(c8,A))) | -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A). [resolve(142,d,84,a)]. 0.06/0.49 143 empty(f7(A,B)) | -empty(relation_dom(f7(A,B))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f5(A,B). [resolve(76,a,70,f)]. 0.06/0.49 Derived: empty(f7(c8,A)) | -empty(relation_dom(f7(c8,A))) | -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A). [resolve(143,d,84,a)]. 0.06/0.49 144 empty(f7(A,B)) | -empty(relation_dom(f7(A,B))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | f6(A,B) != f5(A,B). [resolve(76,a,71,d)]. 0.06/0.49 Derived: empty(f7(c8,A)) | -empty(relation_dom(f7(c8,A))) | -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A). [resolve(144,d,84,a)]. 0.06/0.49 145 -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | in(f16(f7(A,B)),c9) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | in(f4(A,B),B). [resolve(80,a,68,d)]. 0.06/0.49 Derived: -function(f7(c8,A)) | relation_dom(f7(c8,A)) != c9 | in(f16(f7(c8,A)),c9) | -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A). [resolve(145,e,84,a)]. 0.06/0.49 146 -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | in(f16(f7(A,B)),c9) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f6(A,B). [resolve(80,a,69,f)]. 0.06/0.49 Derived: -function(f7(c8,A)) | relation_dom(f7(c8,A)) != c9 | in(f16(f7(c8,A)),c9) | -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A). [resolve(146,e,84,a)]. 0.06/0.49 147 -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | in(f16(f7(A,B)),c9) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f5(A,B). [resolve(80,a,70,f)]. 0.06/0.49 Derived: -function(f7(c8,A)) | relation_dom(f7(c8,A)) != c9 | in(f16(f7(c8,A)),c9) | -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A). [resolve(147,e,84,a)]. 0.06/0.49 148 -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | in(f16(f7(A,B)),c9) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | f6(A,B) != f5(A,B). [resolve(80,a,71,d)]. 0.06/0.49 Derived: -function(f7(c8,A)) | relation_dom(f7(c8,A)) != c9 | in(f16(f7(c8,A)),c9) | -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A). [resolve(148,e,84,a)]. 0.06/0.49 149 -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | element(f17(f7(A,B)),powerset(the_carrier(c8))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | in(f4(A,B),B). [resolve(81,a,68,d)]. 0.06/0.49 Derived: -function(f7(c8,A)) | relation_dom(f7(c8,A)) != c9 | element(f17(f7(c8,A)),powerset(the_carrier(c8))) | -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A). [resolve(149,e,84,a)]. 0.06/0.49 150 -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | element(f17(f7(A,B)),powerset(the_carrier(c8))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f6(A,B). [resolve(81,a,69,f)]. 0.06/0.49 Derived: -function(f7(c8,A)) | relation_dom(f7(c8,A)) != c9 | element(f17(f7(c8,A)),powerset(the_carrier(c8))) | -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A). [resolve(150,e,84,a)]. 0.06/0.49 151 -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | element(f17(f7(A,B)),powerset(the_carrier(c8))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f5(A,B). [resolve(81,a,70,f)]. 0.06/0.49 Derived: -function(f7(c8,A)) | relation_dom(f7(c8,A)) != c9 | element(f17(f7(c8,A)),powerset(the_carrier(c8))) | -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A). [resolve(151,e,84,a)]. 0.06/0.49 152 -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | element(f17(f7(A,B)),powerset(the_carrier(c8))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | f6(A,B) != f5(A,B). [resolve(81,a,71,d)]. 0.06/0.49 Derived: -function(f7(c8,A)) | relation_dom(f7(c8,A)) != c9 | element(f17(f7(c8,A)),powerset(the_carrier(c8))) | -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A). [resolve(152,e,84,a)]. 0.06/0.49 153 -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | f17(f7(A,B)) = f16(f7(A,B)) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | in(f4(A,B),B). [resolve(82,a,68,d)]. 0.06/0.49 Derived: -function(f7(c8,A)) | relation_dom(f7(c8,A)) != c9 | f17(f7(c8,A)) = f16(f7(c8,A)) | -element(A,powerset(powerset(the_carrier(c8)))) | in(f4(c8,A),A). [resolve(153,e,84,a)]. 0.06/0.49 154 -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | f17(f7(A,B)) = f16(f7(A,B)) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f6(A,B). [resolve(82,a,69,f)]. 0.06/0.49 Derived: -function(f7(c8,A)) | relation_dom(f7(c8,A)) != c9 | f17(f7(c8,A)) = f16(f7(c8,A)) | -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f6(c8,A). [resolve(154,e,84,a)]. 0.06/0.49 155 -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | f17(f7(A,B)) = f16(f7(A,B)) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | -element(C,powerset(the_carrier(A))) | C != f4(A,B) | subset_complement(the_carrier(A),C) = f5(A,B). [resolve(82,a,70,f)]. 0.06/0.49 Derived: -function(f7(c8,A)) | relation_dom(f7(c8,A)) != c9 | f17(f7(c8,A)) = f16(f7(c8,A)) | -element(A,powerset(powerset(the_carrier(c8)))) | -element(B,powerset(the_carrier(c8))) | B != f4(c8,A) | subset_complement(the_carrier(c8),B) = f5(c8,A). [resolve(155,e,84,a)]. 0.06/0.49 156 -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | f17(f7(A,B)) = f16(f7(A,B)) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | f6(A,B) != f5(A,B). [resolve(82,a,71,d)]. 0.06/0.49 Derived: -function(f7(c8,A)) | relation_dom(f7(c8,A)) != c9 | f17(f7(c8,A)) = f16(f7(c8,A)) | -element(A,powerset(powerset(the_carrier(c8)))) | f6(c8,A) != f5(c8,A). [resolve(156,e,84,a)]. 0.06/0.49 157 -function(f7(A,B)) | relation_dom(f7(A,B)) != c9 | apply(f7(A,B),f16(f7(A,B))) != subset_complement(the_carrier(c8),f17(f7(A,B))) | -element(B,powerset(powerset(the_carrier(A)))) | -one_sorted_str(A) | in(f4(A,B),B). [resolve(83,a,68,d)]. 0.06/0.49 Derived: -function(fCputime limit exceeded (core dumped) 300.06/300.28 EOF