TSTP Solution File: SWW474+5 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWW474+5 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 01:17:11 EDT 2022
% Result : Timeout 300.02s 300.34s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW474+5 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 6 07:40:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.82/1.08 ============================== Prover9 ===============================
% 0.82/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.82/1.08 Process 7208 was started by sandbox on n020.cluster.edu,
% 0.82/1.08 Mon Jun 6 07:40:22 2022
% 0.82/1.08 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_7055_n020.cluster.edu".
% 0.82/1.08 ============================== end of head ===========================
% 0.82/1.08
% 0.82/1.08 ============================== INPUT =================================
% 0.82/1.08
% 0.82/1.08 % Reading from file /tmp/Prover9_7055_n020.cluster.edu
% 0.82/1.08
% 0.82/1.08 set(prolog_style_variables).
% 0.82/1.08 set(auto2).
% 0.82/1.08 % set(auto2) -> set(auto).
% 0.82/1.08 % set(auto) -> set(auto_inference).
% 0.82/1.08 % set(auto) -> set(auto_setup).
% 0.82/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.82/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.82/1.08 % set(auto) -> set(auto_limits).
% 0.82/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.82/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.82/1.08 % set(auto) -> set(auto_denials).
% 0.82/1.08 % set(auto) -> set(auto_process).
% 0.82/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.82/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.82/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.82/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.82/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.82/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.82/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.82/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.82/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.82/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.82/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.82/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.82/1.08 % set(auto2) -> assign(stats, some).
% 0.82/1.08 % set(auto2) -> clear(echo_input).
% 0.82/1.08 % set(auto2) -> set(quiet).
% 0.82/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.82/1.08 % set(auto2) -> clear(print_given).
% 0.82/1.08 assign(lrs_ticks,-1).
% 0.82/1.08 assign(sos_limit,10000).
% 0.82/1.08 assign(order,kbo).
% 0.82/1.08 set(lex_order_vars).
% 0.82/1.08 clear(print_given).
% 0.82/1.08
% 0.82/1.08 % formulas(sos). % not echoed (169 formulas)
% 0.82/1.08
% 0.82/1.08 ============================== end of input ==========================
% 0.82/1.08
% 0.82/1.08 % From the command line: assign(max_seconds, 300).
% 0.82/1.08
% 0.82/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.82/1.08
% 0.82/1.08 % Formulas that are not ordinary clauses:
% 0.82/1.08 1 (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].
% 0.82/1.08 2 (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].
% 0.82/1.08 3 (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].
% 0.82/1.08 4 (all X_a all X_b ti(fun(X_a,fun(X_b,X_a)),combk(X_a,X_b)) = combk(X_a,X_b)) # label(tsy_c_COMBK_res) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 5 (all X_a all X_b all 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)) = combs(X_a,X_b,X_c)) # label(tsy_c_COMBS_res) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 6 (all X_a ti(fun(fun(X_a,bool),bool),finite_finite(X_a)) = finite_finite(X_a)) # label(tsy_c_Finite__Set_Ofinite_res) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 7 (all X_a ti(X_a,undefined(X_a)) = undefined(X_a)) # label(tsy_c_HOL_Oundefined_res) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 8 (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].
% 0.82/1.08 9 (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].
% 0.82/1.08 10 (all X_a ti(fun(X_a,option(X_a)),some(X_a)) = some(X_a)) # label(tsy_c_Option_Ooption_OSome_res) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 11 (all X_a ti(fun(X_a,bool),bot_bot(fun(X_a,bool))) = bot_bot(fun(X_a,bool))) # label(tsy_c_Orderings_Obot__class_Obot_res) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 12 (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].
% 0.82/1.08 13 (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].
% 0.82/1.08 14 (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].
% 0.82/1.08 15 (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].
% 0.82/1.08 16 (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].
% 0.82/1.08 17 (all X_a all X_c all B_1_1 all B_2_1 hAPP(X_a,X_c,ti(fun(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_arg1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 18 (all X_a all X_c all B_1_1 all B_2_1 hAPP(X_a,X_c,B_1_1,ti(X_a,B_2_1)) = hAPP(X_a,X_c,B_1_1,B_2_1)) # label(tsy_c_hAPP_arg2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 19 (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].
% 0.82/1.08 20 (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].
% 0.82/1.08 21 (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].
% 0.82/1.08 22 (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].
% 0.82/1.08 23 (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].
% 0.82/1.08 24 (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].
% 0.82/1.08 25 (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].
% 0.82/1.08 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].
% 0.82/1.08 27 (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].
% 0.82/1.08 28 (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].
% 0.82/1.08 29 (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].
% 0.82/1.08 30 (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].
% 0.82/1.08 31 (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].
% 0.82/1.08 32 (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].
% 0.82/1.08 33 (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].
% 0.82/1.08 34 (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].
% 0.82/1.08 35 (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].
% 0.82/1.08 36 (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].
% 0.82/1.08 37 (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].
% 0.82/1.08 38 (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,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)) = 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].
% 0.82/1.08 39 (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].
% 0.82/1.08 40 (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))))) -> ti(fun(X_a,bool),A_1) = bot_bot(fun(X_a,bool)) | 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),X_2),bot_bot(fun(X_a,bool))))) # label(fact_18_subset__singletonD) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 41 (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].
% 0.82/1.08 42 (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].
% 0.82/1.08 43 (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].
% 0.82/1.08 44 (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].
% 0.82/1.08 45 (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].
% 0.82/1.08 46 (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].
% 0.82/1.08 47 (all X_a all X_b all A_1 all B_1 all F all X_2 (ti(X_a,B_1) = hAPP(X_b,X_a,F,X_2) -> (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].
% 0.82/1.08 48 (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].
% 0.82/1.09 49 (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_27_Collect__empty__eq) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 50 (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].
% 0.82/1.09 51 (all X_a all P_1 (bot_bot(fun(X_a,bool)) = hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),P_1) <-> (all X_1 -hBOOL(hAPP(X_a,bool,P_1,X_1))))) # label(fact_29_empty__Collect__eq) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 52 (all X_a all 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))) <-> ti(fun(X_a,bool),A_1) != bot_bot(fun(X_a,bool)))) # label(fact_30_ex__in__conv) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 53 (all X_a 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))) <-> ti(fun(X_a,bool),A_1) = bot_bot(fun(X_a,bool)))) # label(fact_31_all__not__in__conv) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 54 (all X_a bot_bot(fun(X_a,bool)) = hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(bool,fun(X_a,bool),combk(bool,X_a),fFalse))) # label(fact_32_empty__def) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 55 (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].
% 0.82/1.09 56 (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].
% 0.82/1.09 57 (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)) -> 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) = ti(fun(X_a,bool),A_1))) # label(fact_35_insert__absorb) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 58 (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].
% 0.82/1.09 59 (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),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) <-> ti(fun(X_a,bool),A_1) = ti(fun(X_a,bool),B))))) # label(fact_37_insert__ident) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 60 (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)) <-> ti(X_a,Y_3) = ti(X_a,X_2) | hBOOL(hAPP(X_a,bool,A_1,X_2)))) # label(fact_38_insert__code) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 61 (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_39_insert__iff) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 62 (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].
% 0.82/1.09 63 (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].
% 0.82/1.09 64 (all X_a all A_3 all 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)) = 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))) # label(fact_42_insert__Collect) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 65 (all X_a all A_3 all 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) = 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)))) # label(fact_43_insert__compr) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 66 (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].
% 0.82/1.09 67 (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].
% 0.82/1.09 68 (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].
% 0.82/1.09 69 (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].
% 0.82/1.09 70 (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].
% 0.82/1.09 71 (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].
% 0.82/1.09 72 (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)),B),A_1)))) # label(fact_50_equalityD2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 73 (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)))) # label(fact_51_equalityD1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 74 (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_52_set__eq__subset) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 75 (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].
% 0.82/1.09 76 (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].
% 0.82/1.09 77 (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].
% 0.82/1.09 78 (all X_a all X_b all Z all F all A_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))) <-> (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))))) # label(fact_56_image__iff) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 79 (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),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)))) <-> 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))))) # label(fact_57_finite__Collect__disjI) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 80 (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].
% 0.82/1.09 81 (all X_a all 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) = ti(fun(X_a,bool),Y_2)) # label(fact_59_image__ident) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 82 (all X_b all X_a all X_c all F all G_1 all 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)) = 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)) # label(fact_60_image__image) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 83 (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].
% 0.82/1.09 84 (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].
% 0.82/1.09 85 (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),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)))) = 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)))) <-> ti(X_a,A_3) = ti(X_a,C_1) & ti(X_a,B_1) = ti(X_a,D_1) | ti(X_a,A_3) = ti(X_a,D_1) & ti(X_a,B_1) = ti(X_a,C_1))) # label(fact_63_doubleton__eq__iff) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 86 (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].
% 0.82/1.09 87 (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].
% 0.82/1.09 88 (all X_a all A_3 all A_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),A_1)) # label(fact_66_empty__not__insert) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 89 (all X_a all A_3 all 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))) <-> hBOOL(hAPP(fun(X_a,bool),bool,finite_finite(X_a),A_1)))) # label(fact_67_finite__insert) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 90 (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),bot_bot(fun(X_a,bool)))) <-> ti(fun(X_a,bool),A_1) = bot_bot(fun(X_a,bool)))) # label(fact_68_subset__empty) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 91 (all X_b all X_a all F all 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),A_1) = bot_bot(fun(X_a,bool)) <-> 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].
% 0.82/1.09 92 (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].
% 0.82/1.09 93 (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].
% 0.82/1.09 94 (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].
% 0.82/1.09 95 (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].
% 0.82/1.09 96 (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].
% 0.82/1.09 97 (all X_a all X_b all F all G_1 ((all X_1 hAPP(X_a,X_b,F,X_1) = hAPP(X_a,X_b,G_1,X_1)) -> ti(fun(X_a,X_b),F) = ti(fun(X_a,X_b),G_1))) # label(fact_75_ext) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 98 (all X_a 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(X_a,bool,A_1,X_2)))) # label(fact_76_mem__def) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 99 (all X_a all P_1 hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),P_1) = ti(fun(X_a,bool),P_1)) # label(fact_77_Collect__def) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 100 (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].
% 0.82/1.09 101 (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),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))) <-> 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_79_subset__insert) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 102 (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(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),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_80_insert__subset) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 103 (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].
% 0.82/1.09 104 (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_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)) = 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].
% 0.82/1.09 105 (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].
% 0.82/1.09 106 (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].
% 0.82/1.09 107 (all X_a all X_b all B all F 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)),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 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)) & 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),AA))))) # label(fact_85_subset__image__iff) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 108 (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].
% 0.82/1.09 109 (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),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)) = 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)))) & (-hBOOL(hAPP(X_a,bool,P_1,A_3)) -> 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)) = bot_bot(fun(X_a,bool))))) # label(fact_87_Collect__conv__if) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 110 (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),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)) = 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)))) & (-hBOOL(hAPP(X_a,bool,P_1,A_3)) -> 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)) = bot_bot(fun(X_a,bool))))) # label(fact_88_Collect__conv__if2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 111 (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].
% 0.82/1.09 112 (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].
% 0.82/1.09 113 (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].
% 0.82/1.09 114 (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].
% 0.82/1.09 115 (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 (ti(X_a,B_1) = hAPP(X_b,X_a,F,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)))))) # label(fact_93_imageE) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 116 (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].
% 0.82/1.09 117 (all P (hBOOL(hAPP(com,bool,wt,hAPP(pname,com,body_1,P))) -> -(all Y_1 hAPP(pname,option(com),body,P) != hAPP(com,option(com),some(com),Y_1)))) # label(fact_95_WTs__elim__cases_I7_J) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 118 (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].
% 0.82/1.09 119 (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].
% 0.82/1.09 120 (all Pname_1 all Pname (hAPP(pname,com,body_1,Pname_1) = hAPP(pname,com,body_1,Pname) <-> ti(pname,Pname_1) = ti(pname,Pname))) # label(fact_99_com_Osimps_I6_J) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 121 (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].
% 0.82/1.09 122 (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].
% 0.82/1.09 123 (all T all A ti(T,ti(T,A)) = ti(T,A)) # label(help_ti_idem) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 124 (all P (-hBOOL(hAPP(bool,bool,fNot,P)) | -hBOOL(P))) # label(help_fNot_1_1_U) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 125 (all P (hBOOL(P) | hBOOL(hAPP(bool,bool,fNot,P)))) # label(help_fNot_2_1_U) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 126 (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_b,X_c),fun(fun(X_a,X_b),fun(X_a,X_c)),combb(X_b,X_c,X_a),P),Q),R) = hAPP(X_b,X_c,P,hAPP(X_a,X_b,Q,R))) # label(help_COMBB_1_1_U) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 127 (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].
% 0.82/1.09 128 (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].
% 0.82/1.09 129 (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].
% 0.82/1.09 130 (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].
% 0.82/1.09 131 (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].
% 3.94/4.20 132 (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].
% 3.94/4.20 133 (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].
% 3.94/4.20 134 (all Q all P (-hBOOL(P) | hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q)))) # label(help_fdisj_1_1_U) # label(axiom) # label(non_clause). [assumption].
% 3.94/4.20 135 (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].
% 3.94/4.20 136 (all P all Q (-hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q)) | hBOOL(P) | hBOOL(Q))) # label(help_fdisj_3_1_U) # label(axiom) # label(non_clause). [assumption].
% 3.94/4.20 137 (all P (ti(bool,P) = fTrue | ti(bool,P) = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 3.94/4.20 138 (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_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 3.94/4.20 139 (all X_a all X all Y (ti(X_a,X) != ti(X_a,Y) | hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),fequal(X_a),X),Y)))) # label(help_fequal_2_1_T) # label(axiom) # label(non_clause). [assumption].
% 3.94/4.20 140 (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].
% 3.94/4.20 141 (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].
% 3.94/4.20 142 (all P all Q (-hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,P),Q)) | -hBOOL(P) | hBOOL(Q))) # label(help_fimplies_3_1_U) # label(axiom) # label(non_clause). [assumption].
% 3.94/4.20
% 3.94/4.20 ============================== end of process non-clausal formulas ===
% 3.94/4.20
% 3.94/4.20 ============================== PROCESS INITIAL CLAUSES ===============
% 3.94/4.20
% 3.94/4.20 ============================== PREDICATE ELIMINATION =================
% 3.94/4.20
% 3.94/4.20 ============================== end predicate elimination =============
% 3.94/4.20
% 3.94/4.20 Auto_denials: (non-Horn, no changes).
% 3.94/4.20
% 3.94/4.20 Term ordering decisions:
% 3.94/4.20 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. f1=1. f2=1. f3=1. f4=1. f8=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. f12=1. combb=1. combs=1. combc=1. f13=1. hAPP=1. f6=1. f10=1. f11=1. f5=1. f7=1. f9=1. f14=1.
% 3.94/4.20
% 3.94/4.20 ============================== end of process initial clauses ========
% 3.94/4.20
% 3.94/4.20 ============================== CLAUSES FOR SEARCH ====================
% 3.94/4.20
% 3.94/4.20 ============================== end of clauses for search =============
% 3.94/4.20
% 3.94/4.20 ============================== SEARCH ================================
% 3.94/4.20
% 3.94/4.20 % Starting search at 0.06 seconds.
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=182.000, iters=3703
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=114.000, iters=3398
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=111.000, iters=3384
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=90.000, iters=3340
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=83.000, iters=3342
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=74.000, iters=3339
% 3.94/4.20
% 3.94/4.20 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 27 (0.00 of 0.80 sec).
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=61.000, iters=3352
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=58.000, iters=3390
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=57.000, iters=3557
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=56.000, iters=3532
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=50.000, iters=3431
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=45.000, iters=3354
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=40.000, iters=3369
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=31.000, iters=3391
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=23.000, iters=3353
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=18.000, iters=3352
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=14.000, iters=3335
% 3.94/4.20
% 3.94/4.20 Low Water (keep): wt=13.000, iters=3337
% 3.94/4.20
% 3.94/4.20 Low Water (displace): id=3184, wt=200.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=3179, wt=198.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=3389, wt=197.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=3930, wt=196.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=3916, wt=195.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=3933, wt=194.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=3905, wt=193.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=9921, wt=192.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=10560, wt=191.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11457, wt=190.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11296, wt=189.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=10564, wt=188.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11637, wt=187.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11207, wt=186.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11294, wt=185.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11558, wt=184.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11280, wt=183.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=10383, wt=182.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11108, wt=181.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11211, wt=180.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11622, wt=179.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11111, wt=178.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11265, wt=177.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11847, wt=176.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11281, wt=175.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11716, wt=174.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11924, wt=173.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11945, wt=172.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11828, wt=171.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11898, wt=170.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11616, wt=169.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11201, wt=168.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11805, wt=167.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12068, wt=166.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12003, wt=165.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11840, wt=164.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12123, wt=163.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11863, wt=162.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11958, wt=161.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12254, wt=160.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12111, wt=159.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12148, wt=158.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12309, wt=157.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11701, wt=156.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12046, wt=155.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12315, wt=154.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12346, wt=153.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12408, wt=152.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12443, wt=151.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=11554, wt=150.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12423, wt=149.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12297, wt=148.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12519, wt=147.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12461, wt=146.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12470, wt=145.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12609, wt=144.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12471, wt=143.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12636, wt=142.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12531, wt=141.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12235, wt=140.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12546, wt=139.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12822, wt=138.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12867, wt=137.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12804, wt=136.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12537, wt=135.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12808, wt=134.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12517, wt=133.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12541, wt=132.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=13022, wt=131.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=12869, wt=130.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=13101, wt=129.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=13076, wt=128.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=13113, wt=127.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=13199, wt=126.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=13011, wt=125.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=13395, wt=124.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=13401, wt=123.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=13486, wt=122.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=13539, wt=121.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=13449, wt=120.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=13795, wt=119.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=13639, wt=118.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=13933, wt=117.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=14054, wt=116.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=14156, wt=115.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=14255, wt=114.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=14135, wt=113.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=14421, wt=112.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=14575, wt=111.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=14646, wt=110.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=14861, wt=109.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=15087, wt=108.000
% 13.26/13.54
% 13.26/13.54 Low Water (displace): id=15500, wt=107.000
% 13.26/13.54
% 13.26/13.54 Low Water (displaceCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------