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 : n115.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 05:04:09 CDT 2018 0.02/0.24 % CPUTime : 0.40/0.65 ============================== Prover9 =============================== 0.40/0.65 Prover9 (32) version 2009-11A, November 2009. 0.40/0.65 Process 60122 was started by sandbox on n115.star.cs.uiowa.edu, 0.40/0.65 Sat Jul 14 05:04:10 2018 0.40/0.65 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_60082_n115.star.cs.uiowa.edu". 0.40/0.65 ============================== end of head =========================== 0.40/0.65 0.40/0.65 ============================== INPUT ================================= 0.40/0.65 0.40/0.65 % Reading from file /tmp/Prover9_60082_n115.star.cs.uiowa.edu 0.40/0.65 0.40/0.65 set(prolog_style_variables). 0.40/0.65 set(auto2). 0.40/0.65 % set(auto2) -> set(auto). 0.40/0.65 % set(auto) -> set(auto_inference). 0.40/0.65 % set(auto) -> set(auto_setup). 0.40/0.65 % set(auto_setup) -> set(predicate_elim). 0.40/0.65 % set(auto_setup) -> assign(eq_defs, unfold). 0.40/0.65 % set(auto) -> set(auto_limits). 0.40/0.65 % set(auto_limits) -> assign(max_weight, "100.000"). 0.40/0.65 % set(auto_limits) -> assign(sos_limit, 20000). 0.40/0.65 % set(auto) -> set(auto_denials). 0.40/0.65 % set(auto) -> set(auto_process). 0.40/0.65 % set(auto2) -> assign(new_constants, 1). 0.40/0.65 % set(auto2) -> assign(fold_denial_max, 3). 0.40/0.65 % set(auto2) -> assign(max_weight, "200.000"). 0.40/0.65 % set(auto2) -> assign(max_hours, 1). 0.40/0.65 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.40/0.65 % set(auto2) -> assign(max_seconds, 0). 0.40/0.65 % set(auto2) -> assign(max_minutes, 5). 0.40/0.65 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.40/0.65 % set(auto2) -> set(sort_initial_sos). 0.40/0.65 % set(auto2) -> assign(sos_limit, -1). 0.40/0.65 % set(auto2) -> assign(lrs_ticks, 3000). 0.40/0.65 % set(auto2) -> assign(max_megs, 400). 0.40/0.65 % set(auto2) -> assign(stats, some). 0.40/0.65 % set(auto2) -> clear(echo_input). 0.40/0.65 % set(auto2) -> set(quiet). 0.40/0.65 % set(auto2) -> clear(print_initial_clauses). 0.40/0.65 % set(auto2) -> clear(print_given). 0.40/0.65 assign(lrs_ticks,-1). 0.40/0.65 assign(sos_limit,10000). 0.40/0.65 assign(order,kbo). 0.40/0.65 set(lex_order_vars). 0.40/0.65 clear(print_given). 0.40/0.65 0.40/0.65 % formulas(sos). % not echoed (169 formulas) 0.40/0.65 0.40/0.65 ============================== end of input ========================== 0.40/0.65 0.40/0.65 % From the command line: assign(max_seconds, 300). 0.40/0.65 0.40/0.65 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.40/0.65 0.40/0.65 % Formulas that are not ordinary clauses: 0.40/0.65 1 (all X_a all A_1 hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),bot_bot(fun(X_a,bool))),A_1))) # label(fact_10_empty__subsetI) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 2 (all X_b all X_a all C_1 all A_1 ((ti(fun(X_a,bool),A_1) = bot_bot(fun(X_a,bool)) -> hAPP(fun(X_a,bool),fun(X_b,bool),hAPP(fun(X_a,X_b),fun(fun(X_a,bool),fun(X_b,bool)),image(X_a,X_b),hAPP(X_b,fun(X_a,X_b),combk(X_b,X_a),C_1)),A_1) = bot_bot(fun(X_b,bool))) & (ti(fun(X_a,bool),A_1) != bot_bot(fun(X_a,bool)) -> hAPP(fun(X_a,bool),fun(X_b,bool),hAPP(fun(X_a,X_b),fun(fun(X_a,bool),fun(X_b,bool)),image(X_a,X_b),hAPP(X_b,fun(X_a,X_b),combk(X_b,X_a),C_1)),A_1) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),C_1),bot_bot(fun(X_b,bool)))))) # label(fact_14_image__constant__conv) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 3 (all X_a all Q_1 all P_1 (hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),P_1))) | hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),Q_1))) -> hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,bool)),combs(X_a,bool,bool),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fconj),P_1)),Q_1)))))) # label(fact_13_finite__Collect__conjI) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 4 (all Q all P (hBOOL(P) | hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,P),Q)))) # label(help_fimplies_1_1_U) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 5 (all X_a all P hAPP(X_a,X_a,combi(X_a),P) = ti(X_a,P)) # label(help_COMBI_1_1_U) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 6 (all X_a (finite_finite_1(X_a) -> (all A_1 hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),A_1))))) # label(fact_33_finite__code) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 7 (all X_a all P_1 all A_3 ((hBOOL(hAPP(X_a,bool,P_1,A_3)) -> hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),bot_bot(fun(X_a,bool))) = hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,bool)),combs(X_a,bool,bool),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fconj),hAPP(X_a,fun(X_a,bool),fequal(X_a),A_3))),P_1))) & (-hBOOL(hAPP(X_a,bool,P_1,A_3)) -> bot_bot(fun(X_a,bool)) = hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,bool)),combs(X_a,bool,bool),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fconj),hAPP(X_a,fun(X_a,bool),fequal(X_a),A_3))),P_1))))) # label(fact_88_Collect__conv__if2) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 8 (all X_a all B_1 all A_3 all B (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),A_3),B)) -> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),A_3),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),B_1),B))))) # label(fact_36_insertI2) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 9 (all X_a all X_b all F all G_1 ((all X_1 hAPP(X_a,X_b,G_1,X_1) = hAPP(X_a,X_b,F,X_1)) -> ti(fun(X_a,X_b),G_1) = ti(fun(X_a,X_b),F))) # label(fact_75_ext) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 10 (all X_a all X_c all X_b all P all Q all R hAPP(X_a,X_c,hAPP(X_b,fun(X_a,X_c),hAPP(fun(X_a,fun(X_b,X_c)),fun(X_b,fun(X_a,X_c)),combc(X_a,X_b,X_c),P),Q),R) = hAPP(X_b,X_c,hAPP(X_a,fun(X_b,X_c),P,R),Q)) # label(help_COMBC_1_1_U) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 11 (all X_a all B_1 all A_3 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),B_1),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),bot_bot(fun(X_a,bool))))) -> ti(X_a,B_1) = ti(X_a,A_3))) # label(fact_62_singletonE) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 12 (all X_a all C_1 all A_1 all B (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)) -> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),C_1),A_1)) -> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),C_1),B))))) # label(fact_24_subsetD) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 13 (all Q all P (-hBOOL(P) | -hBOOL(Q) | hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q)))) # label(help_fconj_1_1_U) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 14 (all X_a all X all Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),fequal(X_a),X),Y)) | ti(X_a,X) != ti(X_a,Y))) # label(help_fequal_2_1_T) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 15 (all X_b all X_a all C_1 all X_2 all A_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_1)) -> hAPP(fun(X_a,bool),fun(X_b,bool),hAPP(fun(X_a,X_b),fun(fun(X_a,bool),fun(X_b,bool)),image(X_a,X_b),hAPP(X_b,fun(X_a,X_b),combk(X_b,X_a),C_1)),A_1) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),C_1),bot_bot(fun(X_b,bool))))) # label(fact_15_image__constant) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 16 (all P (-hBOOL(P) | -hBOOL(hAPP(bool,bool,fNot,P)))) # label(help_fNot_1_1_U) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 17 (all X_b all X_c all X_a ti(fun(fun(X_b,X_c),fun(fun(X_a,X_b),fun(X_a,X_c))),combb(X_b,X_c,X_a)) = combb(X_b,X_c,X_a)) # label(tsy_c_COMBB_res) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 18 (all X_a all A_3 all A_1 hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),A_1) != bot_bot(fun(X_a,bool))) # label(fact_65_insert__not__empty) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 19 (all X_b all X_a all F all X_2 all A_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_1)) -> hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_a,X_b,F,X_2)),hAPP(fun(X_a,bool),fun(X_b,bool),hAPP(fun(X_a,X_b),fun(fun(X_a,bool),fun(X_b,bool)),image(X_a,X_b),F),A_1))))) # label(fact_55_imageI) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 20 (all X_b all X_a all F all A_1 all B (hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),B)) -> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),B),hAPP(fun(X_b,bool),fun(X_a,bool),hAPP(fun(X_b,X_a),fun(fun(X_b,bool),fun(X_a,bool)),image(X_b,X_a),F),A_1))) -> (exists C (hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),C),A_1)) & hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),C)) & ti(fun(X_a,bool),B) = hAPP(fun(X_b,bool),fun(X_a,bool),hAPP(fun(X_b,X_a),fun(fun(X_b,bool),fun(X_a,bool)),image(X_b,X_a),F),C)))))) # label(fact_97_finite__subset__image) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 21 (all X_a (finite_finite_1(X_a) -> (all A_1 hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),A_1))))) # label(fact_34_finite) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 22 (all X_a all P_1 (hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),P_1) = bot_bot(fun(X_a,bool)) <-> (all X_1 -hBOOL(hAPP(X_a,bool,P_1,X_1))))) # label(fact_29_empty__Collect__eq) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 23 (all X_a all B_1 all A_3 all B ((-hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),A_3),B)) -> ti(X_a,A_3) = ti(X_a,B_1)) -> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),A_3),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),B_1),B))))) # label(fact_21_insertCI) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 24 (all X_a all X_c all X_b all P all Q all R hAPP(X_b,X_c,P,hAPP(X_a,X_b,Q,R)) = hAPP(X_a,X_c,hAPP(fun(X_a,X_b),fun(X_a,X_c),hAPP(fun(X_b,X_c),fun(fun(X_a,X_b),fun(X_a,X_c)),combb(X_b,X_c,X_a),P),Q),R)) # label(help_COMBB_1_1_U) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 25 (all X_a all X_b ti(fun(fun(X_a,X_b),fun(fun(X_a,bool),fun(X_b,bool))),image(X_a,X_b)) = image(X_a,X_b)) # label(tsy_c_Set_Oimage_res) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 26 (all X_a all G all G_2 all Ts (hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),hoare_122391849derivs(X_a),G_2),Ts)) -> (hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),hoare_122391849derivs(X_a),G),G_2)) -> hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),hoare_122391849derivs(X_a),G),Ts))))) # label(fact_4_cut) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 27 (all X_a all Y_3 all A_1 all X_2 (hBOOL(hAPP(X_a,bool,hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),Y_3),A_1),X_2)) <-> hBOOL(hAPP(X_a,bool,A_1,X_2)) | ti(X_a,X_2) = ti(X_a,Y_3))) # label(fact_38_insert__code) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 28 (all X_a all A_1 (bot_bot(fun(X_a,bool)) != ti(fun(X_a,bool),A_1) <-> (exists X_1 hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_1))))) # label(fact_30_ex__in__conv) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 29 (all Pname_1 all Pname (ti(pname,Pname_1) = ti(pname,Pname) <-> hAPP(pname,com,body_1,Pname) = hAPP(pname,com,body_1,Pname_1))) # label(fact_99_com_Osimps_I6_J) # label(axiom) # label(non_clause). [assumption]. 0.40/0.65 30 (all X_a all X_c all B_1_1 all B_2_1 hAPP(X_a,X_c,B_1_1,B_2_1) = hAPP(X_a,X_c,ti(fun(X_a,X_c),B_1_1),B_2_1)) # label(tsy_c_hAPP_arg1) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 31 (all X_a all A_1 all B (ti(fun(X_a,bool),B) = ti(fun(X_a,bool),A_1) <-> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),B),A_1)) & hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)))) # label(fact_52_set__eq__subset) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 32 (all P (fTrue = ti(bool,P) | ti(bool,P) = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 33 (all X_b all X_a all B all F all A_1 (hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),A_1)) -> (hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),B),hAPP(fun(X_a,bool),fun(X_b,bool),hAPP(fun(X_a,X_b),fun(fun(X_a,bool),fun(X_b,bool)),image(X_a,X_b),F),A_1))) -> hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B))))) # label(fact_17_finite__surj) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 34 (all X_b all X_a all M all A_3 all B_1 (hAPP(X_b,option(X_a),M,A_3) = hAPP(X_a,option(X_a),some(X_a),B_1) -> hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_3),hAPP(fun(X_b,option(X_a)),fun(X_b,bool),dom(X_b,X_a),M))))) # label(fact_86_domI) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 35 (all X_a all A_3 hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(X_a,fun(X_a,bool),fequal(X_a),A_3)) = hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),bot_bot(fun(X_a,bool)))) # label(fact_90_singleton__conv2) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 36 (all X_b all X_a all H all Fa (hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),Fa)) -> hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_a,bool),fun(X_b,bool),hAPP(fun(X_a,X_b),fun(fun(X_a,bool),fun(X_b,bool)),image(X_a,X_b),H),Fa))))) # label(fact_9_finite__imageI) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 37 (all Pn_1 all G (hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,hAPP(pname,com,body_1,Pn_1))),G)),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,hAPP(option(com),com,the(com),hAPP(pname,option(com),body,Pn_1)))),bot_bot(fun(hoare_509422987triple(state),bool))))) -> hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),G),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,hAPP(pname,com,body_1,Pn_1))),bot_bot(fun(hoare_509422987triple(state),bool))))))) # label(fact_7_MGT__BodyN) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 38 (all X_a all P_1 ((all X_1 -hBOOL(hAPP(X_a,bool,P_1,X_1))) <-> hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),P_1) = bot_bot(fun(X_a,bool)))) # label(fact_27_Collect__empty__eq) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 39 (all X_a all A_3 all A_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),A_3),A_1)) -> ti(fun(X_a,bool),A_1) = hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),A_1))) # label(fact_35_insert__absorb) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 40 (all X_a all A_3 all B_1 all A_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),A_3),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),B_1),A_1))) <-> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),A_3),A_1)) | ti(X_a,B_1) = ti(X_a,A_3))) # label(fact_39_insert__iff) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 41 (all X_a all A_3 all B hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,bool)),combs(X_a,bool,bool),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fdisj),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fequal(X_a)),A_3))),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),B))) = hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),B)) # label(fact_43_insert__compr) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 42 (all X_b all X_a all F hAPP(fun(X_b,bool),fun(X_a,bool),hAPP(fun(X_b,X_a),fun(fun(X_b,bool),fun(X_a,bool)),image(X_b,X_a),F),bot_bot(fun(X_b,bool))) = bot_bot(fun(X_a,bool))) # label(fact_70_image__empty) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 43 (all X_a finite_finite(X_a) = ti(fun(fun(X_a,bool),bool),finite_finite(X_a))) # label(tsy_c_Finite__Set_Ofinite_res) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 44 (all X_a all X_2 all A_1 all B (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),X_2),A_1)),B)) <-> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)) & hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),B)))) # label(fact_80_insert__subset) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 45 (all P all Q (-hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q)) | hBOOL(Q))) # label(help_fconj_3_1_U) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 46 (all X_a all A_3 all B_1 (hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),bot_bot(fun(X_a,bool))) = hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),B_1),bot_bot(fun(X_a,bool))) -> ti(X_a,A_3) = ti(X_a,B_1))) # label(fact_61_singleton__inject) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 47 (all X_a all A_3 all P_1 hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,bool)),combs(X_a,bool,bool),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fimplies),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool)),combb(bool,bool,X_a),fNot),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fequal(X_a)),A_3)))),P_1)) = hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),P_1))) # label(fact_42_insert__Collect) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 48 (all X_a all B_1 all A_3 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),B_1),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),bot_bot(fun(X_a,bool))))) <-> ti(X_a,B_1) = ti(X_a,A_3))) # label(fact_64_singleton__iff) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 49 (all X_a all B_1 all A_1 all B (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)) -> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),B_1),B))))) # label(fact_78_subset__insertI2) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 50 (all X_a all A_1 all B (ti(fun(X_a,bool),A_1) = ti(fun(X_a,bool),B) -> -(hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)) -> -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),B),A_1))))) # label(fact_45_equalityE) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 51 (all X_a all A_3 all A_1 (hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),A_1)) -> hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),A_1))))) # label(fact_11_finite_OinsertI) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 52 (all P all Q (-hBOOL(Q) | hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,P),Q)))) # label(help_fimplies_2_1_U) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 53 (all X_a all P_1 ti(fun(X_a,bool),P_1) = hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),P_1)) # label(fact_77_Collect__def) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 54 (all X_a all P_1 all Q_1 (hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),Q_1))) & hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),P_1))) <-> hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,bool)),combs(X_a,bool,bool),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fdisj),P_1)),Q_1)))))) # label(fact_57_finite__Collect__disjI) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 55 (all X_a all X_b all X_c combs(X_a,X_b,X_c) = ti(fun(fun(X_a,fun(X_b,X_c)),fun(fun(X_a,X_b),fun(X_a,X_c))),combs(X_a,X_b,X_c))) # label(tsy_c_COMBS_res) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 56 (all X_b all X_a ti(fun(fun(X_b,option(X_a)),fun(X_b,bool)),dom(X_b,X_a)) = dom(X_b,X_a)) # label(tsy_c_Map_Odom_res) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 57 (all X_a all X_b all B_1 all F all A_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),B_1),hAPP(fun(X_b,bool),fun(X_a,bool),hAPP(fun(X_b,X_a),fun(fun(X_b,bool),fun(X_a,bool)),image(X_b,X_a),F),A_1))) -> -(all X_1 (hAPP(X_b,X_a,F,X_1) = ti(X_a,B_1) -> -hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_1)))))) # label(fact_93_imageE) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 58 (all X_a ti(fun(X_a,fun(fun(X_a,bool),bool)),member(X_a)) = member(X_a)) # label(tsy_c_member_res) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 59 (all X_a all X_b all B all F all A_1 ((exists AA (hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),AA),A_1)) & hAPP(fun(X_b,bool),fun(X_a,bool),hAPP(fun(X_b,X_a),fun(fun(X_b,bool),fun(X_a,bool)),image(X_b,X_a),F),AA) = ti(fun(X_a,bool),B))) <-> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),B),hAPP(fun(X_b,bool),fun(X_a,bool),hAPP(fun(X_b,X_a),fun(fun(X_b,bool),fun(X_a,bool)),image(X_b,X_a),F),A_1))))) # label(fact_85_subset__image__iff) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 60 (all X_a all Ts all G all T_3 (hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),hoare_122391849derivs(X_a),G),hAPP(fun(hoare_509422987triple(X_a),bool),fun(hoare_509422987triple(X_a),bool),hAPP(hoare_509422987triple(X_a),fun(fun(hoare_509422987triple(X_a),bool),fun(hoare_509422987triple(X_a),bool)),insert(hoare_509422987triple(X_a)),T_3),bot_bot(fun(hoare_509422987triple(X_a),bool))))) -> (hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),hoare_122391849derivs(X_a),G),Ts)) -> hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),hoare_122391849derivs(X_a),G),hAPP(fun(hoare_509422987triple(X_a),bool),fun(hoare_509422987triple(X_a),bool),hAPP(hoare_509422987triple(X_a),fun(fun(hoare_509422987triple(X_a),bool),fun(hoare_509422987triple(X_a),bool)),insert(hoare_509422987triple(X_a)),T_3),Ts)))))) # label(fact_5_hoare__derivs_Oinsert) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 61 (all P all Q (-hBOOL(P) | hBOOL(Q) | -hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,P),Q)))) # label(help_fimplies_3_1_U) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 62 (all X_a all B all A_3 hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),B),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),B)))) # label(fact_81_subset__insertI) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 63 (all X_a all X_2 all A_1 (hBOOL(hAPP(X_a,bool,A_1,X_2)) <-> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_1)))) # label(fact_76_mem__def) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 64 (all Pn all B_2 (hBOOL(wT_bodies) -> (hAPP(pname,option(com),body,Pn) = hAPP(com,option(com),some(com),B_2) -> hBOOL(hAPP(com,bool,wt,B_2))))) # label(fact_92_WT__bodiesD) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 65 (all X_a all A_1 (ti(fun(X_a,bool),A_1) = bot_bot(fun(X_a,bool)) <-> (all X_1 -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_1))))) # label(fact_31_all__not__in__conv) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 66 (all C_1 all G (hBOOL(hoare_1883395792gleton) -> ((all X_1 (hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),X_1),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))) -> hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),G),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,hAPP(pname,com,body_1,X_1))),bot_bot(fun(hoare_509422987triple(state),bool))))))) -> (hBOOL(hAPP(com,bool,wt,C_1)) -> hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),G),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,C_1)),bot_bot(fun(hoare_509422987triple(state),bool))))))))) # label(fact_91_MGF__lemma1) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 67 (all X_a all X_2 all A_1 hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),X_2),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),X_2),A_1)) = hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),X_2),A_1)) # label(fact_41_insert__absorb2) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 68 (all X_a all A_1 (hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),A_1)) -> hBOOL(hAPP(fun(fun(X_a,bool),bool),bool,finite_finite(fun(X_a,bool)),hAPP(fun(fun(X_a,bool),bool),fun(fun(X_a,bool),bool),collect(fun(X_a,bool)),hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),hAPP(fun(fun(X_a,bool),fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(fun(X_a,bool),bool)),combc(fun(X_a,bool),fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool))),A_1)))))) # label(fact_8_finite__Collect__subsets) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 69 (all P all Q (-hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q)) | hBOOL(Q) | hBOOL(P))) # label(help_fdisj_3_1_U) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 70 (all X_c all X_a all B_1_1 all B_2_1 ti(X_c,hAPP(X_a,X_c,B_1_1,B_2_1)) = hAPP(X_a,X_c,B_1_1,B_2_1)) # label(tsy_c_hAPP_res) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 71 (all X_a all A_1 all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),X_2),bot_bot(fun(X_a,bool))))) -> hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),X_2),bot_bot(fun(X_a,bool))) = ti(fun(X_a,bool),A_1) | ti(fun(X_a,bool),A_1) = bot_bot(fun(X_a,bool)))) # label(fact_18_subset__singletonD) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 72 (all X_a all A_3 all B hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),A_3),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),B)))) # label(fact_44_insertI1) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 73 (all X_a all C_2 all A_1 all B (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)) -> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),B),C_2)) -> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),C_2))))) # label(fact_46_subset__trans) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 74 (all X_a all A_1 all B (ti(fun(X_a,bool),B) = ti(fun(X_a,bool),A_1) -> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)))) # label(fact_51_equalityD1) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 75 (all X_a ti(fun(X_a,fun(X_a,bool)),fequal(X_a)) = fequal(X_a)) # label(tsy_c_fequal_res) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 76 (all X_a some(X_a) = ti(fun(X_a,option(X_a)),some(X_a))) # label(tsy_c_Option_Ooption_OSome_res) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 77 (all X_a all X_b combk(X_a,X_b) = ti(fun(X_a,fun(X_b,X_a)),combk(X_a,X_b))) # label(tsy_c_COMBK_res) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 78 (all X_b all X_a all F all X_2 all A_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_1)) -> hAPP(fun(X_a,bool),fun(X_b,bool),hAPP(fun(X_a,X_b),fun(fun(X_a,bool),fun(X_b,bool)),image(X_a,X_b),F),A_1) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),hAPP(X_a,X_b,F,X_2)),hAPP(fun(X_a,bool),fun(X_b,bool),hAPP(fun(X_a,X_b),fun(fun(X_a,bool),fun(X_b,bool)),image(X_a,X_b),F),A_1)))) # label(fact_82_insert__image) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 79 (all X_a all A_1 all B (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)) -> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),B),A_1)) -> ti(fun(X_a,bool),A_1) = ti(fun(X_a,bool),B)))) # label(fact_23_equalityI) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 80 (all X_a ti(fun(X_a,X_a),combi(X_a)) = combi(X_a)) # label(tsy_c_COMBI_res) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 81 (all X_a all G all T_3 all Ts (hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),hoare_122391849derivs(X_a),G),hAPP(fun(hoare_509422987triple(X_a),bool),fun(hoare_509422987triple(X_a),bool),hAPP(hoare_509422987triple(X_a),fun(fun(hoare_509422987triple(X_a),bool),fun(hoare_509422987triple(X_a),bool)),insert(hoare_509422987triple(X_a)),T_3),Ts))) -> hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),hoare_122391849derivs(X_a),G),hAPP(fun(hoare_509422987triple(X_a),bool),fun(hoare_509422987triple(X_a),bool),hAPP(hoare_509422987triple(X_a),fun(fun(hoare_509422987triple(X_a),bool),fun(hoare_509422987triple(X_a),bool)),insert(hoare_509422987triple(X_a)),T_3),bot_bot(fun(hoare_509422987triple(X_a),bool))))) & hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),hoare_122391849derivs(X_a),G),Ts)))) # label(fact_6_derivs__insertD) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 82 (all X_a all X_2 all A_1 all B (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)) -> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_1)) -> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),B))))) # label(fact_47_set__mp) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 83 (all X_b all X_a all X_c all F all G_1 all A_1 hAPP(fun(X_c,bool),fun(X_a,bool),hAPP(fun(X_c,X_a),fun(fun(X_c,bool),fun(X_a,bool)),image(X_c,X_a),hAPP(fun(X_c,X_b),fun(X_c,X_a),hAPP(fun(X_b,X_a),fun(fun(X_c,X_b),fun(X_c,X_a)),combb(X_b,X_a,X_c),F),G_1)),A_1) = hAPP(fun(X_b,bool),fun(X_a,bool),hAPP(fun(X_b,X_a),fun(fun(X_b,bool),fun(X_a,bool)),image(X_b,X_a),F),hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),G_1),A_1))) # label(fact_60_image__image) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 84 (all X_a ti(fun(fun(X_a,bool),fun(fun(X_a,bool),bool)),ord_less_eq(fun(X_a,bool))) = ord_less_eq(fun(X_a,bool))) # label(tsy_c_Orderings_Oord__class_Oless__eq_res) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 85 (all X_b all X_a all P all Q hAPP(X_b,X_a,hAPP(X_a,fun(X_b,X_a),combk(X_a,X_b),P),Q) = ti(X_a,P)) # label(help_COMBK_1_1_U) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 86 (all X_a ti(fun(X_a,fun(fun(X_a,bool),fun(X_a,bool))),insert(X_a)) = insert(X_a)) # label(tsy_c_Set_Oinsert_res) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 87 (all X_b all X_a all F all A_1 all B (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)) -> hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),hAPP(fun(X_a,bool),fun(X_b,bool),hAPP(fun(X_a,X_b),fun(fun(X_a,bool),fun(X_b,bool)),image(X_a,X_b),F),A_1)),hAPP(fun(X_a,bool),fun(X_b,bool),hAPP(fun(X_a,X_b),fun(fun(X_a,bool),fun(X_b,bool)),image(X_a,X_b),F),B))))) # label(fact_84_image__mono) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 88 (all X_a undefined(X_a) = ti(X_a,undefined(X_a))) # label(tsy_c_HOL_Oundefined_res) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 89 (all X_b all X_a all F all A_1 (bot_bot(fun(X_a,bool)) = hAPP(fun(X_b,bool),fun(X_a,bool),hAPP(fun(X_b,X_a),fun(fun(X_b,bool),fun(X_a,bool)),image(X_b,X_a),F),A_1) <-> ti(fun(X_b,bool),A_1) = bot_bot(fun(X_b,bool)))) # label(fact_69_image__is__empty) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 90 (all X_a hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),bot_bot(fun(X_a,bool))))) # label(fact_12_finite_OemptyI) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 91 (all X_a all A_1 all B (ti(fun(X_a,bool),B) = ti(fun(X_a,bool),A_1) -> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),B),A_1)))) # label(fact_50_equalityD2) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 92 (all X_a all A_3 all A_1 (ti(fun(X_a,bool),A_1) = bot_bot(fun(X_a,bool)) -> -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),A_3),A_1)))) # label(fact_26_equals0D) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 93 (all P (hBOOL(hAPP(com,bool,wt,hAPP(pname,com,body_1,P))) -> -(all Y_1 hAPP(com,option(com),some(com),Y_1) != hAPP(pname,option(com),body,P)))) # label(fact_95_WTs__elim__cases_I7_J) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 94 (all B_1_1 (hBOOL(ti(bool,B_1_1)) <-> hBOOL(B_1_1))) # label(tsy_c_hBOOL_arg1) # label(hypothesis) # label(non_clause). [assumption]. 0.40/0.66 95 (all X_a all Y_2 ti(fun(X_a,bool),Y_2) = hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,X_a),fun(fun(X_a,bool),fun(X_a,bool)),image(X_a,X_a),combi(X_a)),Y_2)) # label(fact_59_image__ident) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 96 (all X_a all B all X_2 all A_1 (-hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_1)) -> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)) <-> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),X_2),B)))))) # label(fact_79_subset__insert) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 97 (all X_a all B all X_2 all A_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_1)) -> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)) -> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),B))))) # label(fact_48_set__rev__mp) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 98 (all X_a ti(fun(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool)),hoare_122391849derivs(X_a)) = hoare_122391849derivs(X_a)) # label(tsy_c_Hoare__Mirabelle__pjuwniqynr_Ohoare__derivs_res) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 99 (all X_a all A_3 all A_1 hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),A_1) != bot_bot(fun(X_a,bool))) # label(fact_66_empty__not__insert) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 100 (all X_a all P_1 all A_1 all Fa (hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),Fa)) -> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),Fa),A_1)) -> (hBOOL(hAPP(fun(X_a,bool),bool,P_1,bot_bot(fun(X_a,bool)))) -> ((all A_2 all F_1 (hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),F_1)) -> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),A_2),A_1)) -> (-hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),A_2),F_1)) -> (hBOOL(hAPP(fun(X_a,bool),bool,P_1,F_1)) -> hBOOL(hAPP(fun(X_a,bool),bool,P_1,hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_2),F_1)))))))) -> hBOOL(hAPP(fun(X_a,bool),bool,P_1,Fa))))))) # label(fact_94_finite__subset__induct) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 101 (all X_a all Ts all G all Ts_1 (hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),hoare_122391849derivs(X_a),G),Ts_1)) -> (hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),ord_less_eq(fun(hoare_509422987triple(X_a),bool)),Ts),Ts_1)) -> hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),hoare_122391849derivs(X_a),G),Ts))))) # label(fact_2_weaken) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 102 (all X_a all A_1 all B (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)) -> (hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),B)) -> hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),A_1))))) # label(fact_72_finite__subset) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 103 (all X_a all X_2 all A_1 all B (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)) -> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_1)) -> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),B))))) # label(fact_49_in__mono) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 104 (all P all Q (-hBOOL(Q) | hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q)))) # label(help_fdisj_2_1_U) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 105 (all X_a all X_2 all Y_3 all A_1 hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),X_2),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),Y_3),A_1)) = hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),Y_3),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),X_2),A_1))) # label(fact_40_insert__commute) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 106 (all P (hBOOL(hAPP(bool,bool,fNot,P)) | hBOOL(P))) # label(help_fNot_2_1_U) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 107 (all X_a all X_1 all Xa hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),X_1),Xa) = hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,bool)),combs(X_a,bool,bool),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fdisj),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fequal(X_a)),X_1))),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),Xa)))) # label(fact_58_insert__compr__raw) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 108 (all T_2 all T_1 (finite_finite_1(T_1) & finite_finite_1(T_2) -> finite_finite_1(fun(T_2,T_1)))) # label(arity_fun___Finite__Set_Ofinite) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 109 (all X_a all A_3 all A_1 (hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),A_1)) <-> hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),A_1))))) # label(fact_67_finite__insert) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 110 (all X_a all C_1 -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),C_1),bot_bot(fun(X_a,bool))))) # label(fact_28_empty__iff) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 111 (all X_a all B all A_1 ((all X_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_1)) -> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),B)))) -> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)))) # label(fact_96_subsetI) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 112 (all X_a all X_b all Z all F all A_1 ((exists X_1 (hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_1)) & ti(X_a,Z) = hAPP(X_b,X_a,F,X_1))) <-> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Z),hAPP(fun(X_b,bool),fun(X_a,bool),hAPP(fun(X_b,X_a),fun(fun(X_b,bool),fun(X_a,bool)),image(X_b,X_a),F),A_1))))) # label(fact_56_image__iff) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 113 (all X_a all A_3 hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fequal(X_a)),A_3)) = hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),bot_bot(fun(X_a,bool)))) # label(fact_89_singleton__conv) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 114 (all X_a bot_bot(fun(X_a,bool)) = ti(fun(X_a,bool),bot_bot(fun(X_a,bool)))) # label(tsy_c_Orderings_Obot__class_Obot_res) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 115 (all X_a all G all G_2 all Ts (hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),hoare_122391849derivs(X_a),G_2),Ts)) -> (hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),ord_less_eq(fun(hoare_509422987triple(X_a),bool)),G_2),G)) -> hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),hoare_122391849derivs(X_a),G),Ts))))) # label(fact_3_thin) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 116 (all X_b all X_a all F all X_2 all Y_3 (hAPP(X_b,option(X_a),F,X_2) = hAPP(X_a,option(X_a),some(X_a),Y_3) -> hAPP(fun(X_b,option(X_a)),fun(X_b,bool),dom(X_b,X_a),F) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_2),hAPP(fun(X_b,option(X_a)),fun(X_b,bool),dom(X_b,X_a),F)))) # label(fact_16_insert__dom) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 117 (all X_a ti(fun(fun(X_a,bool),fun(X_a,bool)),collect(X_a)) = collect(X_a)) # label(tsy_c_Set_OCollect_res) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 118 (all X_a all A_3 -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),A_3),bot_bot(fun(X_a,bool))))) # label(fact_20_emptyE) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 119 (all T_1 (finite_finite_1(T_1) -> finite_finite_1(option(T_1)))) # label(arity_Option_Ooption___Finite__Set_Ofinite) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 120 (all X_b all X_a all B_1 all F all X_2 all A_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_1)) -> (ti(X_b,B_1) = hAPP(X_a,X_b,F,X_2) -> hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),B_1),hAPP(fun(X_a,bool),fun(X_b,bool),hAPP(fun(X_a,X_b),fun(fun(X_a,bool),fun(X_b,bool)),image(X_a,X_b),F),A_1)))))) # label(fact_54_rev__image__eqI) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 121 (all C_1 (hBOOL(hoare_1883395792gleton) -> (hBOOL(wT_bodies) -> (hBOOL(hAPP(com,bool,wt,C_1)) -> hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,C_1)),bot_bot(fun(hoare_509422987triple(state),bool))))))))) # label(fact_19_MGF) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 122 (all Q all P (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q)) | -hBOOL(P))) # label(help_fdisj_1_1_U) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 123 (all X_a all A_1 all B (hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),B)) -> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)) -> hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),A_1))))) # label(fact_73_rev__finite__subset) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 124 (all X_a all B all X_2 all A_1 (-hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_1)) -> (-hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),B)) -> (hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),X_2),B) = hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),X_2),A_1) <-> ti(fun(X_a,bool),A_1) = ti(fun(X_a,bool),B))))) # label(fact_37_insert__ident) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 125 (all X_a all A_1 (ti(fun(X_a,bool),A_1) = bot_bot(fun(X_a,bool)) <-> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),bot_bot(fun(X_a,bool)))))) # label(fact_68_subset__empty) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 126 (all X_a all Ts all G (hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),ord_less_eq(fun(hoare_509422987triple(X_a),bool)),Ts),G)) -> hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),hoare_122391849derivs(X_a),G),Ts)))) # label(fact_1_asm) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 127 (all X_a all A_3 all B_1 all C_1 all D_1 (hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),C_1),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),D_1),bot_bot(fun(X_a,bool)))) = hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),B_1),bot_bot(fun(X_a,bool)))) <-> ti(X_a,D_1) = ti(X_a,A_3) & ti(X_a,B_1) = ti(X_a,C_1) | ti(X_a,C_1) = ti(X_a,A_3) & ti(X_a,D_1) = ti(X_a,B_1))) # label(fact_63_doubleton__eq__iff) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 128 (all X_a all P_1 all A_3 ((hBOOL(hAPP(X_a,bool,P_1,A_3)) -> hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),bot_bot(fun(X_a,bool))) = hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,bool)),combs(X_a,bool,bool),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fconj),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fequal(X_a)),A_3))),P_1))) & (-hBOOL(hAPP(X_a,bool,P_1,A_3)) -> bot_bot(fun(X_a,bool)) = hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,bool)),combs(X_a,bool,bool),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fconj),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fequal(X_a)),A_3))),P_1))))) # label(fact_87_Collect__conv__if) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 129 (all X_a hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(bool,fun(X_a,bool),combk(bool,X_a),fFalse)) = bot_bot(fun(X_a,bool))) # label(fact_32_empty__def) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 130 (all X_a all A_3 all B_1 all A_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),A_3),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),B_1),A_1))) -> (ti(X_a,A_3) != ti(X_a,B_1) -> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),A_3),A_1))))) # label(fact_22_insertE) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 131 (all T all A ti(T,A) = ti(T,ti(T,A))) # label(help_ti_idem) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 132 (all X_a all X_b all F all A_1 (bot_bot(fun(X_a,bool)) = hAPP(fun(X_b,bool),fun(X_a,bool),hAPP(fun(X_b,X_a),fun(fun(X_b,bool),fun(X_a,bool)),image(X_b,X_a),F),A_1) <-> ti(fun(X_b,bool),A_1) = bot_bot(fun(X_b,bool)))) # label(fact_71_empty__is__image) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 133 (all X_a all X_c all B_1_1 all B_2_1 hAPP(X_a,X_c,B_1_1,B_2_1) = hAPP(X_a,X_c,B_1_1,ti(X_a,B_2_1))) # label(tsy_c_hAPP_arg2) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 134 (all P all Q (-hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q)) | hBOOL(P))) # label(help_fconj_2_1_U) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 135 (all X_b all X_a all F all A_3 all B hAPP(fun(X_b,bool),fun(X_a,bool),hAPP(fun(X_b,X_a),fun(fun(X_b,bool),fun(X_a,bool)),image(X_b,X_a),F),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_3),B)) = hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),hAPP(X_b,X_a,F,A_3)),hAPP(fun(X_b,bool),fun(X_a,bool),hAPP(fun(X_b,X_a),fun(fun(X_b,bool),fun(X_a,bool)),image(X_b,X_a),F),B))) # label(fact_83_image__insert) # label(axiom) # label(non_clause). [assumption]. 0.40/0.66 136 (all X_a all A_3 all C_2 all D (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),C_2),D)) -> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),C_2)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),D))))) # label(fact_74_insert__mono) # label(axiom) # label(non_clause). [assumption]. 5.54/5.75 137 (all X_a all X all Y (-hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),fequal(X_a),X),Y)) | ti(X_a,Y) = ti(X_a,X))) # label(help_fequal_1_1_T) # label(axiom) # label(non_clause). [assumption]. 5.54/5.75 138 (all X_a all A_1 hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),A_1))) # label(fact_53_subset__refl) # label(axiom) # label(non_clause). [assumption]. 5.54/5.75 139 (all X_a all X_b all A_1 all B_1 all F all X_2 (hAPP(X_b,X_a,F,X_2) = ti(X_a,B_1) -> (hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),A_1)) -> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),B_1),hAPP(fun(X_b,bool),fun(X_a,bool),hAPP(fun(X_b,X_a),fun(fun(X_b,bool),fun(X_a,bool)),image(X_b,X_a),F),A_1)))))) # label(fact_25_image__eqI) # label(axiom) # label(non_clause). [assumption]. 5.54/5.75 140 (all X_a all X_c all X_b all P all Q all R hAPP(X_a,X_c,hAPP(fun(X_a,X_b),fun(X_a,X_c),hAPP(fun(X_a,fun(X_b,X_c)),fun(fun(X_a,X_b),fun(X_a,X_c)),combs(X_a,X_b,X_c),P),Q),R) = hAPP(X_b,X_c,hAPP(X_a,fun(X_b,X_c),P,R),hAPP(X_a,X_b,Q,R))) # label(help_COMBS_1_1_U) # label(axiom) # label(non_clause). [assumption]. 5.54/5.75 141 (all X_a all X_b all X_c ti(fun(fun(X_a,fun(X_b,X_c)),fun(X_b,fun(X_a,X_c))),combc(X_a,X_b,X_c)) = combc(X_a,X_b,X_c)) # label(tsy_c_COMBC_res) # label(axiom) # label(non_clause). [assumption]. 5.54/5.75 142 (all X_a all G hBOOL(hAPP(fun(hoare_509422987triple(X_a),bool),bool,hAPP(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool),hoare_122391849derivs(X_a),G),bot_bot(fun(hoare_509422987triple(X_a),bool))))) # label(fact_0_empty) # label(axiom) # label(non_clause). [assumption]. 5.54/5.75 5.54/5.75 ============================== end of process non-clausal formulas === 5.54/5.75 5.54/5.75 ============================== PROCESS INITIAL CLAUSES =============== 5.54/5.75 5.54/5.75 ============================== PREDICATE ELIMINATION ================= 5.54/5.75 5.54/5.75 ============================== end predicate elimination ============= 5.54/5.75 5.54/5.75 Auto_denials: (non-Horn, no changes). 5.54/5.75 5.54/5.75 Term ordering decisions: 5.54/5.75 Function symbol KB weights: bool=1. state=1. com=1. pname=1. body=1. body_1=1. fconj=1. hoare_Mirabelle_MGT=1. fdisj=1. wt=1. fimplies=1. hoare_1883395792gleton=1. fa=1. wT_bodies=1. fFalse=1. fNot=1. fTrue=1. pn=1. y=1. fun=1. ti=1. image=1. dom=1. combk=1. f3=1. f4=1. f5=1. f8=1. f9=1. hoare_509422987triple=1. insert=1. bot_bot=1. ord_less_eq=1. member=1. finite_finite=1. collect=1. option=1. hoare_122391849derivs=1. fequal=1. some=1. combi=1. the=1. undefined=1. f10=1. combb=1. combs=1. combc=1. f13=1. hAPP=1. f1=1. f11=1. f12=1. f2=1. f6=1. f7=1. f14=1. 5.54/5.75 5.54/5.75 ============================== end of process initial clauses ======== 5.54/5.75 5.54/5.75 ============================== CLAUSES FOR SEARCH ==================== 5.54/5.75 5.54/5.75 ============================== end of clauses for search ============= 5.54/5.75 5.54/5.75 ============================== SEARCH ================================ 5.54/5.75 5.54/5.75 % Starting search at 0.06 seconds. 5.54/5.75 5.54/5.75 Low Water (keep): wt=117.000, iters=3502 5.54/5.75 5.54/5.75 Low Water (keep): wt=106.000, iters=3416 5.54/5.75 5.54/5.75 Low Water (keep): wt=105.000, iters=3402 5.54/5.75 5.54/5.75 Low Water (keep): wt=91.000, iters=3346 5.54/5.75 5.54/5.75 Low Water (keep): wt=81.000, iters=3412 5.54/5.75 5.54/5.75 Low Water (keep): wt=77.000, iters=3442 5.54/5.75 5.54/5.75 Low Water (keep): wt=66.000, iters=3402 5.54/5.75 5.54/5.75 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 40 (0.00 of 1.33 sec). 5.54/5.75 5.54/5.75 Low Water (keep): wt=61.000, iters=3390 5.54/5.75 5.54/5.75 Low Water (keep): wt=56.000, iters=3754 5.54/5.75 5.54/5.75 Low Water (keep): wt=54.000, iters=3812 5.54/5.75 5.54/5.75 Low Water (keep): wt=48.000, iters=3691 5.54/5.75 5.54/5.75 Low Water (keep): wt=40.000, iters=3629 5.54/5.75 5.54/5.75 Low Water (keep): wt=38.000, iters=3587 5.54/5.75 5.54/5.75 Low Water (keep): wt=23.000, iters=3339 5.54/5.75 5.54/5.75 Low Water (keep): wt=18.000, iters=3340 5.54/5.75 5.54/5.75 Low Water (keep): wt=14.000, iters=3334 5.54/5.75 5.54/5.75 Low Water (keep): wt=13.000, iters=3337 5.54/5.75 5.54/5.75 Low Water (displace): id=10039, wt=199.000 24.09/24.33 24.09/24.33 Low Water (displace): id=9613, wt=198.000 24.09/24.33 24.09/24.33 Low Water (displace): id=10288, wt=197.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12189, wt=196.000 24.09/24.33 24.09/24.33 Low Water (displace): id=10190, wt=195.000 24.09/24.33 24.09/24.33 Low Water (displace): id=11951, wt=193.000 24.09/24.33 24.09/24.33 Low Water (displace): id=10893, wt=192.000 24.09/24.33 24.09/24.33 Low Water (displace): id=7397, wt=191.000 24.09/24.33 24.09/24.33 Low Water (displace): id=9724, wt=190.000 24.09/24.33 24.09/24.33 Low Water (displace): id=11937, wt=189.000 24.09/24.33 24.09/24.33 Low Water (displace): id=11935, wt=187.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12440, wt=186.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12290, wt=185.000 24.09/24.33 24.09/24.33 Low Water (displace): id=11014, wt=184.000 24.09/24.33 24.09/24.33 Low Water (displace): id=11037, wt=183.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12410, wt=181.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12187, wt=180.000 24.09/24.33 24.09/24.33 Low Water (displace): id=10299, wt=179.000 24.09/24.33 24.09/24.33 Low Water (displace): id=11950, wt=178.000 24.09/24.33 24.09/24.33 Low Water (displace): id=9699, wt=177.000 24.09/24.33 24.09/24.33 Low Water (displace): id=11946, wt=176.000 24.09/24.33 24.09/24.33 Low Water (displace): id=11936, wt=175.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12308, wt=174.000 24.09/24.33 24.09/24.33 Low Water (displace): id=11034, wt=173.000 24.09/24.33 24.09/24.33 Low Water (displace): id=11957, wt=172.000 24.09/24.33 24.09/24.33 Low Water (displace): id=11938, wt=171.000 24.09/24.33 24.09/24.33 Low Water (displace): id=10899, wt=170.000 24.09/24.33 24.09/24.33 Low Water (displace): id=8472, wt=169.000 24.09/24.33 24.09/24.33 Low Water (displace): id=11956, wt=168.000 24.09/24.33 24.09/24.33 Low Water (displace): id=10900, wt=167.000 24.09/24.33 24.09/24.33 Low Water (displace): id=10301, wt=166.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12413, wt=165.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12446, wt=164.000 24.09/24.33 24.09/24.33 Low Water (displace): id=9544, wt=163.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12424, wt=162.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12447, wt=161.000 24.09/24.33 24.09/24.33 Low Water (displace): id=10896, wt=160.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12421, wt=159.000 24.09/24.33 24.09/24.33 Low Water (displace): id=9167, wt=158.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12740, wt=157.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12423, wt=156.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12453, wt=155.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12741, wt=154.000 24.09/24.33 24.09/24.33 Low Water (displace): id=11928, wt=153.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12419, wt=152.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12608, wt=151.000 24.09/24.33 24.09/24.33 Low Water (displace): id=8953, wt=150.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12418, wt=149.000 24.09/24.33 24.09/24.33 Low Water (displace): id=11042, wt=148.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12884, wt=147.000 24.09/24.33 24.09/24.33 Low Water (displace): id=11254, wt=146.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12918, wt=145.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12959, wt=144.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12223, wt=143.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12311, wt=142.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12374, wt=141.000 24.09/24.33 24.09/24.33 Low Water (displace): id=11276, wt=140.000 24.09/24.33 24.09/24.33 Low Water (displace): id=11271, wt=139.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12274, wt=138.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13176, wt=137.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13189, wt=136.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13210, wt=135.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13185, wt=134.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12941, wt=133.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13138, wt=132.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13224, wt=131.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13293, wt=130.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12611, wt=129.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13327, wt=128.000 24.09/24.33 24.09/24.33 Low Water (displace): id=12384, wt=127.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13417, wt=126.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13134, wt=125.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13475, wt=124.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13184, wt=123.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13548, wt=122.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13501, wt=121.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13557, wt=120.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13552, wt=119.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13774, wt=118.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13748, wt=117.000 24.09/24.33 24.09/24.33 Low Water (displace): id=13903, wt=116.000 24.09/24.33 24.09/24.33 Low Water (displace): id=14004, wt=115.000 24.09/24.33 24.09/24.33 Low Water (displace): id=14188, wt=114.000 24.09/24.33 24.09/24.33 Low Water (displace): id=14207, wt=113.000 24.09/24.33 24.09/24.33 Low Water (displace): id=14345, wt=112.000 24.09/24.33 24.09/24.33 Low Water (displace): id=14476, wt=111.000 24.09/24.33 24.09/24.33 Low Water (displace): id=14638, wt=110.000 24.09/24.33 24.09/24.33 Low Water (displace): id=14869, wt=109.000 24.09/24.33 24.09/24.33 Low Water (displace): id=15215, wt=108.000 24.09/24.33 24.09/24.33 Low Water (displace): id=14990, wt=107.000 24.09/24.33 24.09/24.33 Low Water (displace): id=15480, wt=106.000 24.09/24.33 24.09/24.33 Low Water (displace): id=15870, wt=105.000 24.09/24.33 24.09/24.33 Low Water (displace): id=16133, wt=104.000 24.09/24.33 24.09/24.33 Low Water (displace): id=16228, wt=103.000 245.69/245.93 245.69/245.93 Low Water (displace): id=16409, wt=102.000 245.69/245.93 245.69/245.93 Low Water (displace): id=16685, wt=101.000 245.69/245.93 245.69/245.93 Low Water (displace): id=16759, wt=100.000 245.69/245.93 245.69/245.93 Low Water (displace): id=17753, wt=99.000 245.69/245.93 245.69/245.93 Low Water (displace): id=18244, wt=98.000 245.69/245.93 245.69/245.93 Low Water (displace): id=21740, wt=82.000 245.69/245.93 245.69/245.93 Low Water (displace): id=21741, wt=80.000 245.69/245.93 245.69/245.93 Low Water (displace): id=21742, wt=76.000 245.69/245.93 245.69/245.93 Low Water (displace): id=25663, wt=71.000 245.69/245.93 245.69/245.93 Low Water (displace): id=29829, wt=64.000 245.69/245.93 245.69/245.93 Low Water (displace): id=29832, wt=63.000 245.69/245.93 245.69/245.93 Low Water (displace): id=29840, wt=60.000 245.69/245.93 245.69/245.93 Low Water (displace): id=29843, wt=59.000 245.69/245.93 245.69/245.93 Low Water (displace): id=32050, wt=58.000 245.69/245.93 245.69/245.93 Low Water (displace): id=32058, wt=57.000 245.69/245.93 245.69/245.93 Low Water (displace): id=35014, wt=55.000 245.69/245.93 245.69/245.93 Low Water (displace): id=35015, wt=51.000 245.69/245.93 245.69/245.93 Low Water (displace): id=38618, wt=50.000 245.69/245.93 245.69/245.93 Low Water (displace): id=36218, wt=17.000 245.69/245.93 245.69/245.93 Low Water (displace): id=39529, wt=16.000 245.69/245.93 245.69/245.93 Low Water (displace): id=40911, wt=15.000 245.69/245.93 245.69/245.93 ============================== STATISTICS ============================ 245.69/245.93 245.69/245.93 Given=27378. Generated=6459808. Kept=376371. proofs=0. 245.69/245.93 Usable=25877. Sos=9131. Demods=162. Limbo=77, Disabled=341504. Hints=0. 245.69/245.93 Kept_by_rule=0, Deleted_by_rule=223165. 245.69/245.93 Forward_subsumed=183135. Back_subsumed=145. 245.69/245.93 Sos_limit_deleted=5677137. Sos_displaced=336924. Sos_removed=0. 245.69/245.93 New_demodulators=9038 (0 lex), Back_demodulated=4136. Back_unit_deleted=81. 245.69/245.93 Demod_attempts=255267211. Demod_rewrites=595275. 245.69/245.93 Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0. 245.69/245.93 Nonunit_fsub_feature_tests=830283. Nonunit_bsub_feature_tests=11481. 245.69/245.93 Megabytes=419.43. 245.69/245.93 User_CPU=241.46, System_CPU=3.82, Wall_clock=245. 245.69/245.93 245.69/245.93 Megs malloced by palloc(): 400. 245.69/245.93 type (bytes each) gets frees in use bytes 245.69/245.93 chunk ( 104) 10655 10655 0 0.0 K 245.69/245.93 string_buf ( 8) 9702 9702 0 0.0 K 245.69/245.93 token ( 20) 24564 24564 0 0.0 K 245.69/245.93 pterm ( 16) 17055 17055 0 0.0 K 245.69/245.93 hashtab ( 8) 142 142 0 0.0 K 245.69/245.93 hashnode ( 8) 460 460 0 0.0 K 245.69/245.93 term ( 20) 297289038 285225970 12063068 235606.8 K 245.69/245.93 term arg arrays: 49635.4 K 245.69/245.93 attribute ( 12) 1072 24 1048 12.3 K 245.69/245.93 ilist ( 8) 557916550 556326954 1589596 12418.7 K 245.69/245.93 plist ( 8) 9789268 9352234 437034 3414.3 K 245.69/245.93 i2list ( 12) 7544098 7544098 0 0.0 K 245.69/245.93 just ( 12) 6941369 6536201 405168 4748.1 K 245.69/245.93 parajust ( 16) 949609 917820 31789 496.7 K 245.69/245.93 instancejust ( 8) 0 0 0 0.0 K 245.69/245.93 ivyjust ( 24) 0 0 0 0.0 K 245.69/245.93 formula ( 28) 4870 3020 1850 50.6 K 245.69/245.93 formula arg arrays: 6.1 K 245.69/245.93 topform ( 52) 6460168 6083437 376731 19130.9 K 245.69/245.93 clist_pos ( 20) 1130803 754052 376751 7358.4 K 245.69/245.93 clist ( 16) 8 1 7 0.1 K 245.69/245.93 context ( 808) 24480899 24480899 0 0.0 K 245.69/245.93 trail ( 12) 32171425 32171425 0 0.0 K 245.69/245.93 ac_match_pos (70044) 0 0 0 0.0 K 245.69/245.93 ac_match_free_vars_pos (20020) 245.69/245.93 0 0 0 0.0 K 245.69/245.93 btm_state ( 60) 0 0 0 0.0 K 245.69/245.93 btu_state ( 60) 0 0 0 0.0 K 245.69/245.93 ac_position (285432) 0 0 0 0.0 K 245.69/245.93 fpa_trie ( 20) 1956127 1516037 440090 8595.5 K 245.69/245.93 fpa_state ( 28) 5848520 5848520 0 0.0 K 245.69/245.93 fpa_index ( 12) 10 0 10 0.1 K 245.69/245.93 fpa_chunk ( 20) 3167293 2885361 281932 5506.5 K 245.69/245.93 fpa_list ( 16) 1656831 0 1656831 25888.0 K 245.69/245.93 fpa_list chunks: 23555.2 K 245.69/245.93 discrim ( 12) 3039225 2728642 310583 3639.6 K 245.69/245.93 discrim_pos ( 16) 753996 753996 0 0.0 K 245.69/245.93 flat2 ( 32) 71524589 71524589 0 0.0 K 245.69/245.97 flat ( 48) 0 0 0 0.0 K 245.69/245.97 flatterm ( 32) 307481197 307481197 0 0.0 K 245.69/245.97 mindex ( 28) 13 0 13 0.4 K 245.69/245.97 mindex_pos ( 56) 10131923 10131923 0 0.0 K 245.69/245.97 lindex ( 12) 5 0 5 0.1 K 245.69/245.97 clash ( 40) 0 0 0 0.0 K 245.69/245.97 di_tree ( 12) 6089894 5563250 526644 6171.6 K 245.69/245.97 avl_node ( 20) 752372 734110 18262 356.7 K 245.69/245.97 245.69/245.97 Memory report, 20 @ 20 = 400 megs (400.00 megs used). 245.69/245.97 List 1, length 3, 0.0 K 245.69/245.97 List 2, length 223, 1.7 K 245.69/245.97 List 3, length 130904, 1534.0 K 245.69/245.97 List 6, length 21, 0.5 K 245.69/245.97 List 7, length 98, 2.7 K 245.69/245.97 List 8, length 1055, 33.0 K 245.69/245.97 List 9, length 13, 0.5 K 245.69/245.97 List 10, length 10, 0.4 K 245.69/245.97 List 13, length 1, 0.1 K 245.69/245.97 List 14, length 2, 0.1 K 245.69/245.97 List 16, length 61, 3.8 K 245.69/245.97 List 26, length 246, 25.0 K 245.69/245.97 List 202, length 4, 3.2 K 245.69/245.97 List 256, length 321, 321.0 K 245.69/245.97 245.69/245.97 ============================== SELECTOR REPORT ======================= 245.69/245.97 Sos_deleted=5677137, Sos_displaced=336924, Sos_size=9131 245.69/245.97 SELECTOR PART PRIORITY ORDER SIZE SELECTED 245.69/245.97 I 2147483647 high age 0 192 245.69/245.97 H 1 high weight 0 0 245.69/245.97 A 1 low age 9131 3021 245.69/245.97 F 4 low weight 6155 12084 245.69/245.97 T 4 low weight 2976 12081 245.69/245.97 ============================== end of selector report ================ 245.69/245.97 245.69/245.97 ============================== end of statistics ===================== 245.69/245.97 245.69/245.97 Exiting with failure. 245.69/245.97 245.69/245.97 Process 60122 exit (max_megs) Sat Jul 14 05:08:15 2018 245.69/245.97 Prover9 interrupted 245.69/245.98 EOF