TSTP Solution File: SWW472+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWW472+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n017.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 01:17:07 EDT 2022
% Result : Timeout 300.03s 300.30s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWW472+1 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 6 00:20:46 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.81/1.13 ============================== Prover9 ===============================
% 0.81/1.13 Prover9 (32) version 2009-11A, November 2009.
% 0.81/1.13 Process 17232 was started by sandbox2 on n017.cluster.edu,
% 0.81/1.13 Mon Jun 6 00:20:47 2022
% 0.81/1.13 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_17079_n017.cluster.edu".
% 0.81/1.13 ============================== end of head ===========================
% 0.81/1.13
% 0.81/1.13 ============================== INPUT =================================
% 0.81/1.13
% 0.81/1.13 % Reading from file /tmp/Prover9_17079_n017.cluster.edu
% 0.81/1.13
% 0.81/1.13 set(prolog_style_variables).
% 0.81/1.13 set(auto2).
% 0.81/1.13 % set(auto2) -> set(auto).
% 0.81/1.13 % set(auto) -> set(auto_inference).
% 0.81/1.13 % set(auto) -> set(auto_setup).
% 0.81/1.13 % set(auto_setup) -> set(predicate_elim).
% 0.81/1.13 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.81/1.13 % set(auto) -> set(auto_limits).
% 0.81/1.13 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.81/1.13 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.81/1.13 % set(auto) -> set(auto_denials).
% 0.81/1.13 % set(auto) -> set(auto_process).
% 0.81/1.13 % set(auto2) -> assign(new_constants, 1).
% 0.81/1.13 % set(auto2) -> assign(fold_denial_max, 3).
% 0.81/1.13 % set(auto2) -> assign(max_weight, "200.000").
% 0.81/1.13 % set(auto2) -> assign(max_hours, 1).
% 0.81/1.13 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.81/1.13 % set(auto2) -> assign(max_seconds, 0).
% 0.81/1.13 % set(auto2) -> assign(max_minutes, 5).
% 0.81/1.13 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.81/1.13 % set(auto2) -> set(sort_initial_sos).
% 0.81/1.13 % set(auto2) -> assign(sos_limit, -1).
% 0.81/1.13 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.81/1.13 % set(auto2) -> assign(max_megs, 400).
% 0.81/1.13 % set(auto2) -> assign(stats, some).
% 0.81/1.13 % set(auto2) -> clear(echo_input).
% 0.81/1.13 % set(auto2) -> set(quiet).
% 0.81/1.13 % set(auto2) -> clear(print_initial_clauses).
% 0.81/1.13 % set(auto2) -> clear(print_given).
% 0.81/1.13 assign(lrs_ticks,-1).
% 0.81/1.13 assign(sos_limit,10000).
% 0.81/1.13 assign(order,kbo).
% 0.81/1.13 set(lex_order_vars).
% 0.81/1.13 clear(print_given).
% 0.81/1.13
% 0.81/1.13 % formulas(sos). % not echoed (121 formulas)
% 0.81/1.13
% 0.81/1.13 ============================== end of input ==========================
% 0.81/1.13
% 0.81/1.13 % From the command line: assign(max_seconds, 300).
% 0.81/1.13
% 0.81/1.13 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.81/1.13
% 0.81/1.13 % Formulas that are not ordinary clauses:
% 0.81/1.13 1 (all B_1_1 all B_2_1 is_bool(big_se883361720_state(B_1_1,B_2_1))) # label(gsy_c_Big__Operators_Osemilattice__big_000tc__Hoare____Mirabelle____jfehddehev__) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 2 (all B_1_1 all B_2_1 is_bool(finite354701905_state(B_1_1,B_2_1))) # label(gsy_c_Finite__Set_Ofolding__one_000tc__Hoare____Mirabelle____jfehddehev__Otriple) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 3 (all B_1_1 all B_2_1 is_bool(finite86813460_state(B_1_1,B_2_1))) # label(gsy_c_Finite__Set_Ofolding__one__idem_000tc__Hoare____Mirabelle____jfehddehev__O) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 4 (all B_1_1 all B_2_1 is_bool(hAPP_state_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__Com__Ostate_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 5 (all B_1_1 all B_2_1 (is_bool(B_2_1) -> is_bool(hAPP_bool_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 6 (all B_1_1 all B_2_1 is_bool(hAPP_H78829294e_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 7 (all B_1_1 all B_2_1 is_bool(hAPP_f971112728l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O) # label(hypothesis) # label(non_clause). [assumption].
% 0.81/1.13 8 (all G_1 hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),bot_bo620288102e_bool))) # label(fact_0_empty) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 9 (all Fun1_2 all Com_2 all Fun2_2 all Fun1_1 all Com_1 all Fun2_1 (hoare_2082236334_state(Fun1_2,Com_2,Fun2_2) = hoare_2082236334_state(Fun1_1,Com_1,Fun2_1) <-> Fun1_2 = Fun1_1 & Com_2 = Com_1 & Fun2_2 = Fun2_1)) # label(fact_1_triple_Oinject) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 10 (all G_1 all Ts (hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),Ts)) -> hBOOL(hAPP_f971112728l_bool(hoare_2004700328_state(G_1),Ts)))) # label(fact_2_hoare__sound) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 11 (all G_1 all G_2 all Ts (hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_2),Ts)) -> (hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),G_2)) -> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),Ts))))) # label(fact_3_cut) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 12 (all Ts all G_1 all T (hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),insert1415133716_state(T,bot_bo620288102e_bool))) -> (hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),Ts)) -> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),insert1415133716_state(T,Ts)))))) # label(fact_4_hoare__derivs_Oinsert) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 13 (all G_1 all T all Ts (hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),insert1415133716_state(T,Ts))) -> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),insert1415133716_state(T,bot_bo620288102e_bool))) & hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),Ts)))) # label(fact_5_derivs__insertD) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 14 (all Qa all G_1 all Pa all Ca all Q_2 (hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),insert1415133716_state(hoare_2082236334_state(Pa,Ca,Q_2),bot_bo620288102e_bool))) -> ((all Z_1 all S (hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(Q_2,Z_1),S)) -> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(Qa,Z_1),S)))) -> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),insert1415133716_state(hoare_2082236334_state(Pa,Ca,Qa),bot_bo620288102e_bool)))))) # label(fact_6_conseq2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 15 (all Pa all G_1 all P_2 all Ca all Qa (hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),insert1415133716_state(hoare_2082236334_state(P_2,Ca,Qa),bot_bo620288102e_bool))) -> ((all Z_1 all S (hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(Pa,Z_1),S)) -> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(P_2,Z_1),S)))) -> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),insert1415133716_state(hoare_2082236334_state(Pa,Ca,Qa),bot_bo620288102e_bool)))))) # label(fact_7_conseq1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 16 (all A all B_1 all A_1 (hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A),insert1415133716_state(B_1,A_1))) -> (A != B_1 -> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A),A_1))))) # label(fact_8_insertE) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 17 (all B_1 all A all B ((-hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A),B)) -> A = B_1) -> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A),insert1415133716_state(B_1,B))))) # label(fact_9_insertCI) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 18 (all Qa all Pa all G_1 all P_2 all Ca all Q_2 (hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),insert1415133716_state(hoare_2082236334_state(P_2,Ca,Q_2),bot_bo620288102e_bool))) -> ((all Z_1 all S (hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(Pa,Z_1),S)) -> (all S_1 ((all Z_2 (hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(P_2,Z_2),S)) -> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(Q_2,Z_2),S_1)))) -> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(Qa,Z_1),S_1)))))) -> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),insert1415133716_state(hoare_2082236334_state(Pa,Ca,Qa),bot_bo620288102e_bool)))))) # label(fact_10_conseq12) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 19 (all A -hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A),bot_bo620288102e_bool))) # label(fact_11_emptyE) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 20 (all A all A_1 bot_bo620288102e_bool != insert1415133716_state(A,A_1)) # label(fact_12_empty__not__insert) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 21 (all A all A_1 insert1415133716_state(A,A_1) != bot_bo620288102e_bool) # label(fact_13_insert__not__empty) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 22 (all B_1 all A (hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,B_1),insert1415133716_state(A,bot_bo620288102e_bool))) <-> B_1 = A)) # label(fact_14_singleton__iff) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 23 (all A all B_1 all Ca all D (insert1415133716_state(A,insert1415133716_state(B_1,bot_bo620288102e_bool)) = insert1415133716_state(Ca,insert1415133716_state(D,bot_bo620288102e_bool)) <-> A = Ca & B_1 = D | A = D & B_1 = Ca)) # label(fact_15_doubleton__eq__iff) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 24 (all A all A_1 (A_1 = bot_bo620288102e_bool -> -hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A),A_1)))) # label(fact_16_equals0D) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 25 (all Pa (collec307967673_state(Pa) = bot_bo620288102e_bool <-> (all X_2 -hBOOL(hAPP_H78829294e_bool(Pa,X_2))))) # label(fact_17_Collect__empty__eq) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 26 (all Ca -hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,Ca),bot_bo620288102e_bool))) # label(fact_18_empty__iff) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 27 (all Pa (bot_bo620288102e_bool = collec307967673_state(Pa) <-> (all X_2 -hBOOL(hAPP_H78829294e_bool(Pa,X_2))))) # label(fact_19_empty__Collect__eq) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 28 (all A_1 ((exists X_2 hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),A_1))) <-> A_1 != bot_bo620288102e_bool)) # label(fact_20_ex__in__conv) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 29 (all A_1 ((all X_2 -hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),A_1))) <-> A_1 = bot_bo620288102e_bool)) # label(fact_21_all__not__in__conv) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 30 (all A all A_1 (hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A),A_1)) -> insert1415133716_state(A,A_1) = A_1)) # label(fact_23_insert__absorb) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 31 (all B_1 all A all B (hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A),B)) -> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A),insert1415133716_state(B_1,B))))) # label(fact_24_insertI2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 32 (all B all X_1 all A_1 (-hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_1),A_1)) -> (-hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_1),B)) -> (insert1415133716_state(X_1,A_1) = insert1415133716_state(X_1,B) <-> A_1 = B)))) # label(fact_25_insert__ident) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 33 (all Y_2 all A_1 all X_1 (hBOOL(hAPP_H78829294e_bool(insert1415133716_state(Y_2,A_1),X_1)) <-> Y_2 = X_1 | hBOOL(hAPP_H78829294e_bool(A_1,X_1)))) # label(fact_26_insert__code) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 34 (all A all B_1 all A_1 (hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A),insert1415133716_state(B_1,A_1))) <-> A = B_1 | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A),A_1)))) # label(fact_27_insert__iff) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 35 (all X_1 all Y_2 all A_1 insert1415133716_state(X_1,insert1415133716_state(Y_2,A_1)) = insert1415133716_state(Y_2,insert1415133716_state(X_1,A_1))) # label(fact_28_insert__commute) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 36 (all X_1 all A_1 insert1415133716_state(X_1,insert1415133716_state(X_1,A_1)) = insert1415133716_state(X_1,A_1)) # label(fact_29_insert__absorb2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 37 (all A all Pa insert1415133716_state(A,collec307967673_state(Pa)) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,cOMBC_654211620e_bool(fequal1111551311_state,A))),Pa))) # label(fact_30_insert__Collect) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 38 (all A all B insert1415133716_state(A,B) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,cOMBC_654211620e_bool(fequal1111551311_state,A)),cOMBC_1734175330l_bool(member1338687867_state,B)))) # label(fact_31_insert__compr) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 39 (all A all B hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A),insert1415133716_state(A,B)))) # label(fact_32_insertI1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 40 (all A all B_1 (insert1415133716_state(A,bot_bo620288102e_bool) = insert1415133716_state(B_1,bot_bo620288102e_bool) -> A = B_1)) # label(fact_33_singleton__inject) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 41 (all B_1 all A (hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,B_1),insert1415133716_state(A,bot_bo620288102e_bool))) -> B_1 = A)) # label(fact_34_singletonE) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 42 (all X_1 hAPP_f1387463497_state(the_el1751439279_state,insert1415133716_state(X_1,bot_bo620288102e_bool)) = X_1) # label(fact_35_the__elem__eq) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 43 (all X_1 (hBOOL(hAPP_H78829294e_bool(bot_bo620288102e_bool,X_1)) <-> hBOOL(bot_bot_bool))) # label(fact_36_bot__apply) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 44 (all X_2 (hBOOL(hAPP_H78829294e_bool(bot_bo620288102e_bool,X_2)) <-> hBOOL(bot_bot_bool))) # label(fact_37_bot__fun__def) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 45 (all G_1 all Pa hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),insert1415133716_state(hoare_2082236334_state(Pa,skip,Pa),bot_bo620288102e_bool)))) # label(fact_38_hoare__derivs_OSkip) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 46 (all D all R_1 all G_1 all Pa all Ca all Qa (hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),insert1415133716_state(hoare_2082236334_state(Pa,Ca,Qa),bot_bo620288102e_bool))) -> (hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),insert1415133716_state(hoare_2082236334_state(Qa,D,R_1),bot_bo620288102e_bool))) -> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),insert1415133716_state(hoare_2082236334_state(Pa,semi(Ca,D),R_1),bot_bo620288102e_bool)))))) # label(fact_39_Comp) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 47 (all Y_2 -(all Fun1 all Com all Fun2 Y_2 != hoare_2082236334_state(Fun1,Com,Fun2))) # label(fact_40_triple_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 48 (all X_1 all A_1 (hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_1),A_1)) -> -(all B_2 (A_1 = insert1415133716_state(X_1,B_2) -> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_1),B_2)))))) # label(fact_41_Set_Oset__insert) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 49 (all A all A_1 (hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A),A_1)) -> (exists B_2 (A_1 = insert1415133716_state(A,B_2) & -hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A),B_2)))))) # label(fact_42_mk__disjoint__insert) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 50 (all Com1_2 all Com2_2 semi(Com1_2,Com2_2) != skip) # label(fact_43_com_Osimps_I13_J) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 51 (all Com1_2 all Com2_2 skip != semi(Com1_2,Com2_2)) # label(fact_44_com_Osimps_I12_J) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 52 (all A_1 ((all Y_1 -hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,Y_1),A_1))) -> A_1 = bot_bo620288102e_bool)) # label(fact_45_equals0I) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 53 (all Qa all G_1 all Ca all Pa ((all Z_1 all S (hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(Pa,Z_1),S)) -> (exists P_1 exists Q_1 (hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),insert1415133716_state(hoare_2082236334_state(P_1,Ca,Q_1),bot_bo620288102e_bool))) & (all S_1 ((all Z_2 (hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(P_1,Z_2),S)) -> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(Q_1,Z_2),S_1)))) -> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(Qa,Z_1),S_1)))))))) -> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),insert1415133716_state(hoare_2082236334_state(Pa,Ca,Qa),bot_bo620288102e_bool))))) # label(fact_46_conseq) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 54 (all Com1_1 all Com2_1 all Com1 all Com2 (semi(Com1_1,Com2_1) = semi(Com1,Com2) <-> Com1_1 = Com1 & Com2_1 = Com2)) # label(fact_47_com_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 55 (all A_1 (A_1 != bot_bo620288102e_bool <-> (exists X_2 exists B_2 (A_1 = insert1415133716_state(X_2,B_2) & -hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),B_2)))))) # label(fact_48_nonempty__iff) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 56 (all X_2 (hBOOL(hAPP_H78829294e_bool(bot_bo620288102e_bool,X_2)) <-> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),bot_bo620288102e_bool)))) # label(fact_49_bot__empty__eq) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 57 (all F_1 all A all B_1 (hBOOL(hAPP_H78829294e_bool(finite1736999486_state(F_1,insert1415133716_state(A,bot_bo620288102e_bool)),B_1)) <-> A = B_1)) # label(fact_50_fold1Set__sing) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 58 (all X_1 all F_1 all F (hBOOL(finite354701905_state(F_1,F)) -> hAPP_f1387463497_state(F,insert1415133716_state(X_1,bot_bo620288102e_bool)) = X_1)) # label(fact_51_folding__one_Osingleton) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 59 (all F_1 all A hAPP_f1387463497_state(finite926392750_state(F_1),insert1415133716_state(A,bot_bo620288102e_bool)) = A) # label(fact_52_fold1__singleton) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 60 (all A all G all F_1 (G = finite926392750_state(F_1) -> hAPP_f1387463497_state(G,insert1415133716_state(A,bot_bo620288102e_bool)) = A)) # label(fact_53_fold1__singleton__def) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 61 (all F_1 all X_1 -hBOOL(hAPP_H78829294e_bool(finite1736999486_state(F_1,bot_bo620288102e_bool),X_1))) # label(fact_54_empty__fold1SetE) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 62 (all F_1 all A_1 all X_1 (hBOOL(hAPP_H78829294e_bool(finite1736999486_state(F_1,A_1),X_1)) -> A_1 != bot_bo620288102e_bool)) # label(fact_55_fold1Set__nonempty) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 63 (all F_1 all A all A_1 all X_1 (hBOOL(hAPP_H78829294e_bool(finite374952848_state(F_1,A,A_1),X_1)) -> (-hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A),A_1)) -> hBOOL(hAPP_H78829294e_bool(finite1736999486_state(F_1,insert1415133716_state(A,A_1)),X_1))))) # label(fact_56_fold1Set_Ointros) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 64 (all X_1 all A_1 all F_1 all F (hBOOL(finite354701905_state(F_1,F)) -> (hBOOL(hAPP_f971112728l_bool(finite364844667_state,A_1)) -> (-hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_1),A_1)) -> (A_1 != bot_bo620288102e_bool -> hAPP_f1387463497_state(F,insert1415133716_state(X_1,A_1)) = hAPP_H1150764575_state(hAPP_H1855735728_state(F_1,X_1),hAPP_f1387463497_state(F,A_1))))))) # label(fact_57_folding__one_Oinsert) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 65 (all A_1 all F_1 all F (hBOOL(finite354701905_state(F_1,F)) -> (hBOOL(hAPP_f971112728l_bool(finite364844667_state,A_1)) -> hAPP_f1387463497_state(F,A_1) = hAPP_f1387463497_state(finite926392750_state(F_1),A_1)))) # label(fact_58_folding__one_Oeq__fold) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 66 (all A all A_1 (hBOOL(hAPP_f971112728l_bool(finite364844667_state,A_1)) -> hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(A,A_1))))) # label(fact_60_finite_OinsertI) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 67 (all F_1 all Z hBOOL(hAPP_H78829294e_bool(finite374952848_state(F_1,Z,bot_bo620288102e_bool),Z))) # label(fact_61_fold__graph_OemptyI) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 68 (all F_1 all Z all X_1 (hBOOL(hAPP_H78829294e_bool(finite374952848_state(F_1,Z,bot_bo620288102e_bool),X_1)) -> X_1 = Z)) # label(fact_62_empty__fold__graphE) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 69 (all F_1 all Z all Y_2 all X_1 all A_1 (-hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_1),A_1)) -> (hBOOL(hAPP_H78829294e_bool(finite374952848_state(F_1,Z,A_1),Y_2)) -> hBOOL(hAPP_H78829294e_bool(finite374952848_state(F_1,Z,insert1415133716_state(X_1,A_1)),hAPP_H1150764575_state(hAPP_H1855735728_state(F_1,X_1),Y_2)))))) # label(fact_63_fold__graph_OinsertI) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 70 (all A all A_1 (hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(A,A_1))) <-> hBOOL(hAPP_f971112728l_bool(finite364844667_state,A_1)))) # label(fact_64_finite__insert) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 71 (all A_1 all F_1 all F (hBOOL(finite354701905_state(F_1,F)) -> (hBOOL(hAPP_f971112728l_bool(finite364844667_state,A_1)) -> (A_1 != bot_bo620288102e_bool -> ((all X_2 all Y_1 hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_H1150764575_state(hAPP_H1855735728_state(F_1,X_2),Y_1)),insert1415133716_state(X_2,insert1415133716_state(Y_1,bot_bo620288102e_bool))))) -> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_f1387463497_state(F,A_1)),A_1))))))) # label(fact_65_folding__one_Oclosed) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 72 (all F_1 all A all X_3 all X_1 (hBOOL(hAPP_H78829294e_bool(finite1736999486_state(F_1,insert1415133716_state(A,X_3)),X_1)) -> -(all A_3 all A_2 (insert1415133716_state(A,X_3) = insert1415133716_state(A_3,A_2) -> (hBOOL(hAPP_H78829294e_bool(finite374952848_state(F_1,A_3,A_2),X_1)) -> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A_3),A_2))))))) # label(fact_66_insert__fold1SetE) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 73 (all F_1 all A_1 (hBOOL(hAPP_f971112728l_bool(finite364844667_state,A_1)) -> (A_1 != bot_bo620288102e_bool -> (exists X1 hBOOL(hAPP_H78829294e_bool(finite1736999486_state(F_1,A_1),X1)))))) # label(fact_67_finite__nonempty__imp__fold1Set) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 74 (all Pa all F (hBOOL(hAPP_f971112728l_bool(finite364844667_state,F)) -> (hBOOL(hAPP_f971112728l_bool(Pa,bot_bo620288102e_bool)) -> ((all X_2 all F_2 (hBOOL(hAPP_f971112728l_bool(finite364844667_state,F_2)) -> (-hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),F_2)) -> (hBOOL(hAPP_f971112728l_bool(Pa,F_2)) -> hBOOL(hAPP_f971112728l_bool(Pa,insert1415133716_state(X_2,F_2))))))) -> hBOOL(hAPP_f971112728l_bool(Pa,F)))))) # label(fact_68_finite__induct) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 75 (all X_1 all A_1 (hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_1),A_1)) <-> hBOOL(hAPP_H78829294e_bool(A_1,X_1)))) # label(fact_69_mem__def) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 76 (all Pa collec307967673_state(Pa) = Pa) # label(fact_70_Collect__def) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 77 (all A (hBOOL(hAPP_f971112728l_bool(finite364844667_state,A)) <-> A = bot_bo620288102e_bool | (exists A_2 exists A_3 (A = insert1415133716_state(A_3,A_2) & hBOOL(hAPP_f971112728l_bool(finite364844667_state,A_2)))))) # label(fact_71_finite_Osimps) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 78 (all F_1 all Z all A_1 (hBOOL(hAPP_f971112728l_bool(finite364844667_state,A_1)) -> (exists X1 hBOOL(hAPP_H78829294e_bool(finite374952848_state(F_1,Z,A_1),X1))))) # label(fact_72_finite__imp__fold__graph) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 79 (all F_1 all A1 all A2 (hBOOL(hAPP_H78829294e_bool(finite1736999486_state(F_1,A1),A2)) <-> (exists A_3 exists A_2 exists X_2 (A1 = insert1415133716_state(A_3,A_2) & A2 = X_2 & hBOOL(hAPP_H78829294e_bool(finite374952848_state(F_1,A_3,A_2),X_2)) & -hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A_3),A_2)))))) # label(fact_73_fold1Set_Osimps) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 80 (all F_1 all Z all A1 all A2 (hBOOL(hAPP_H78829294e_bool(finite374952848_state(F_1,Z,A1),A2)) <-> A1 = bot_bo620288102e_bool & A2 = Z | (exists X_2 exists A_2 exists Y_1 (A1 = insert1415133716_state(X_2,A_2) & A2 = hAPP_H1150764575_state(hAPP_H1855735728_state(F_1,X_2),Y_1) & -hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),A_2)) & hBOOL(hAPP_H78829294e_bool(finite374952848_state(F_1,Z,A_2),Y_1)))))) # label(fact_74_fold__graph_Osimps) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 81 (all X_1 all A_1 all F_1 all F (hBOOL(finite86813460_state(F_1,F)) -> (hBOOL(hAPP_f971112728l_bool(finite364844667_state,A_1)) -> (A_1 != bot_bo620288102e_bool -> hAPP_f1387463497_state(F,insert1415133716_state(X_1,A_1)) = hAPP_H1150764575_state(hAPP_H1855735728_state(F_1,X_1),hAPP_f1387463497_state(F,A_1)))))) # label(fact_75_folding__one__idem_Oinsert__idem) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 82 (all X_1 all F_1 all F (hBOOL(finite86813460_state(F_1,F)) -> hAPP_H1150764575_state(hAPP_H1855735728_state(F_1,X_1),X_1) = X_1)) # label(fact_76_folding__one__idem_Oidem) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 83 (all X_1 all A_1 all F_1 all F (hBOOL(finite86813460_state(F_1,F)) -> (hBOOL(hAPP_f971112728l_bool(finite364844667_state,A_1)) -> (hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_1),A_1)) -> hAPP_H1150764575_state(hAPP_H1855735728_state(F_1,X_1),hAPP_f1387463497_state(F,A_1)) = hAPP_f1387463497_state(F,A_1))))) # label(fact_77_folding__one__idem_Oin__idem) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 84 (all Pa all F (hBOOL(hAPP_f971112728l_bool(finite364844667_state,F)) -> (F != bot_bo620288102e_bool -> ((all X_2 hBOOL(hAPP_f971112728l_bool(Pa,insert1415133716_state(X_2,bot_bo620288102e_bool)))) -> ((all X_2 all F_2 (hBOOL(hAPP_f971112728l_bool(finite364844667_state,F_2)) -> (F_2 != bot_bo620288102e_bool -> (-hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),F_2)) -> (hBOOL(hAPP_f971112728l_bool(Pa,F_2)) -> hBOOL(hAPP_f971112728l_bool(Pa,insert1415133716_state(X_2,F_2)))))))) -> hBOOL(hAPP_f971112728l_bool(Pa,F))))))) # label(fact_78_finite__ne__induct) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 85 (all A_1 all F_1 all F (hBOOL(big_se883361720_state(F_1,F)) -> (hBOOL(hAPP_f971112728l_bool(finite364844667_state,A_1)) -> hAPP_f1387463497_state(F,A_1) = hAPP_f1387463497_state(finite926392750_state(F_1),A_1)))) # label(fact_79_semilattice__big_OF__eq) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 86 (all X_1 all A_1 all F_1 all F (hBOOL(finite354701905_state(F_1,F)) -> (hBOOL(hAPP_f971112728l_bool(finite364844667_state,A_1)) -> (hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_1),A_1)) -> (minus_1641527009e_bool(A_1,insert1415133716_state(X_1,bot_bo620288102e_bool)) = bot_bo620288102e_bool -> hAPP_f1387463497_state(F,A_1) = X_1) & (minus_1641527009e_bool(A_1,insert1415133716_state(X_1,bot_bo620288102e_bool)) != bot_bo620288102e_bool -> hAPP_f1387463497_state(F,A_1) = hAPP_H1150764575_state(hAPP_H1855735728_state(F_1,X_1),hAPP_f1387463497_state(F,minus_1641527009e_bool(A_1,insert1415133716_state(X_1,bot_bo620288102e_bool))))))))) # label(fact_80_folding__one_Oremove) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 87 (all B all Ca all A_1 (hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,Ca),A_1)) -> (-hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,Ca),B)) -> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,Ca),minus_1641527009e_bool(A_1,B)))))) # label(fact_81_DiffI) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 88 (all Ca all A_1 all B (hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,Ca),minus_1641527009e_bool(A_1,B))) -> -(hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,Ca),A_1)) -> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,Ca),B))))) # label(fact_82_DiffE) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 89 (all B all A_1 (hBOOL(hAPP_f971112728l_bool(finite364844667_state,A_1)) -> hBOOL(hAPP_f971112728l_bool(finite364844667_state,minus_1641527009e_bool(A_1,B))))) # label(fact_83_finite__Diff) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.13 90 (all A all A_1 (hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A),A_1)) -> insert1415133716_state(A,minus_1641527009e_bool(A_1,insert1415133716_state(A,bot_bo620288102e_bool))) = A_1)) # label(fact_84_insert__Diff) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 91 (all X_1 all A_1 (-hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_1),A_1)) -> minus_1641527009e_bool(insert1415133716_state(X_1,A_1),insert1415133716_state(X_1,bot_bo620288102e_bool)) = A_1)) # label(fact_85_Diff__insert__absorb) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 92 (all A all A_1 insert1415133716_state(A,minus_1641527009e_bool(A_1,insert1415133716_state(A,bot_bo620288102e_bool))) = insert1415133716_state(A,A_1)) # label(fact_86_insert__Diff__single) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 93 (all A_1 all A all B minus_1641527009e_bool(A_1,insert1415133716_state(A,B)) = minus_1641527009e_bool(minus_1641527009e_bool(A_1,insert1415133716_state(A,bot_bo620288102e_bool)),B)) # label(fact_87_Diff__insert2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 94 (all A_1 all A all B minus_1641527009e_bool(A_1,insert1415133716_state(A,B)) = minus_1641527009e_bool(minus_1641527009e_bool(A_1,B),insert1415133716_state(A,bot_bo620288102e_bool))) # label(fact_88_Diff__insert) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 95 (all A_1 all A all B (hBOOL(hAPP_f971112728l_bool(finite364844667_state,minus_1641527009e_bool(A_1,insert1415133716_state(A,B)))) <-> hBOOL(hAPP_f971112728l_bool(finite364844667_state,minus_1641527009e_bool(A_1,B))))) # label(fact_89_finite__Diff__insert) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 96 (all P (-hBOOL(hAPP_bool_bool(fNot,P)) | -hBOOL(P))) # label(help_fNot_1_1_U) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 97 (all P (hBOOL(P) | hBOOL(hAPP_bool_bool(fNot,P)))) # label(help_fNot_2_1_U) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 98 (all Q all P (-hBOOL(P) | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)))) # label(help_fdisj_1_1_U) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 99 (all P all Q (-hBOOL(Q) | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)))) # label(help_fdisj_2_1_U) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 100 (all P all Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) | hBOOL(P) | hBOOL(Q))) # label(help_fdisj_3_1_U) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 101 (all P (is_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 102 (all Q all P (hBOOL(P) | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)))) # label(help_fimplies_1_1_U) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 103 (all P all Q (-hBOOL(Q) | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)))) # label(help_fimplies_2_1_U) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 104 (all P all Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)) | -hBOOL(P) | hBOOL(Q))) # label(help_fimplies_3_1_U) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 105 (all X all Y (-hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X),Y)) | X = Y)) # label(help_fequal_1_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 106 (all X all Y (X != Y | hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X),Y)))) # label(help_fequal_2_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 107 (all P all Q (is_bool(P) -> hAPP_H78829294e_bool(cOMBK_659609255_state(P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____jfehddehev__) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 108 (all P all Q all R hAPP_H78829294e_bool(cOMBB_2144135922_state(P,Q),R) = hAPP_bool_bool(P,hAPP_H78829294e_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Hoare____Mirabel) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.14 109 (all P all Q all R hAPP_H78829294e_bool(cOMBS_458705923l_bool(P,Q),R) = hAPP_bool_bool(hAPP_H1187982158l_bool(P,R),hAPP_H78829294e_bool(Q,R))) # label(help_COMBS_1_1_COMBS_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__) # label(axiom) # label(non_clause). [assumption].
% 8.85/9.14 110 (all P all Q all R hAPP_H1187982158l_bool(cOMBB_962198420_state(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_H78829294e_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo) # label(axiom) # label(non_clause). [assumption].
% 8.85/9.14 111 (all P all Q all R hAPP_H78829294e_bool(cOMBC_654211620e_bool(P,Q),R) = hAPP_H78829294e_bool(hAPP_H1049623551e_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__) # label(axiom) # label(non_clause). [assumption].
% 8.85/9.14 112 (all P all Q all R hAPP_H78829294e_bool(cOMBC_1734175330l_bool(P,Q),R) = hAPP_f971112728l_bool(hAPP_H30606679l_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___001) # label(axiom) # label(non_clause). [assumption].
% 8.85/9.14
% 8.85/9.14 ============================== end of process non-clausal formulas ===
% 8.85/9.14
% 8.85/9.14 ============================== PROCESS INITIAL CLAUSES ===============
% 8.85/9.14
% 8.85/9.14 ============================== PREDICATE ELIMINATION =================
% 8.85/9.14
% 8.85/9.14 ============================== end predicate elimination =============
% 8.85/9.14
% 8.85/9.14 Auto_denials: (non-Horn, no changes).
% 8.85/9.14
% 8.85/9.14 Term ordering decisions:
% 8.85/9.14 Function symbol KB weights: bot_bo620288102e_bool=1. member1338687867_state=1. finite364844667_state=1. bot_bot_bool=1. fdisj=1. fequal1111551311_state=1. fimplies=1. fFalse=1. c=1. fNot=1. fTrue=1. p=1. q=1. skip=1. the_el1751439279_state=1. hAPP_f971112728l_bool=1. insert1415133716_state=1. hAPP_H78829294e_bool=1. hAPP_H30606679l_bool=1. minus_1641527009e_bool=1. hAPP_f1387463497_state=1. hAPP_state_bool=1. hAPP_s1806633685e_bool=1. finite1736999486_state=1. hAPP_H1150764575_state=1. hAPP_H1855735728_state=1. hAPP_bool_bool=1. finite354701905_state=1. hAPP_b589554111l_bool=1. semi=1. finite86813460_state=1. cOMBB_962198420_state=1. cOMBC_654211620e_bool=1. cOMBS_458705923l_bool=1. hAPP_H1049623551e_bool=1. big_se883361720_state=1. cOMBB_2144135922_state=1. cOMBC_1734175330l_bool=1. hAPP_H1187982158l_bool=1. f15=1. f16=1. f27=1. f28=1. f29=1. f39=1. f40=1. f41=1. hoare_1598289066_state=1. collec307967673_state=1. finite926392750_state=1. cOMBK_659609255_state=1. hoare_2004700328_state=1. hoare_Mirabelle_MGT=1. f8=1. f9=1. f10=1. f11=1. f12=1. f13=1. f14=1. f17=1. f21=1. f22=1. f30=1. f31=1. hoare_2082236334_state=1. finite374952848_state=1. f23=1. f24=1. f32=1. f33=1. f34=1. f35=1. f18=1. f19=1. f25=1. f26=1. f36=1. f37=1. f38=1. f1=1. f2=1. f3=1. f4=1. f5=1. f6=1. f7=1. f20=1.
% 8.85/9.14
% 8.85/9.14 ============================== end of process initial clauses ========
% 8.85/9.14
% 8.85/9.14 ============================== CLAUSES FOR SEARCH ====================
% 8.85/9.14
% 8.85/9.14 ============================== end of clauses for search =============
% 8.85/9.14
% 8.85/9.14 ============================== SEARCH ================================
% 8.85/9.14
% 8.85/9.14 % Starting search at 0.08 seconds.
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=46.000, iters=3361
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=43.000, iters=3350
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=41.000, iters=3349
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=38.000, iters=3404
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=37.000, iters=3443
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=36.000, iters=3408
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=35.000, iters=3351
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=31.000, iters=3384
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=30.000, iters=3333
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=28.000, iters=3394
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=27.000, iters=3396
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=25.000, iters=3339
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=24.000, iters=3348
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=23.000, iters=3351
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=22.000, iters=3333
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=21.000, iters=3372
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=20.000, iters=3334
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=19.000, iters=3345
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=18.000, iters=3333
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=17.000, iters=3334
% 8.85/9.14
% 8.85/9.14 Low Water (keep): wt=16.000, iters=3341
% 8.85/9.14
% 8.85/9.14 Low Water (displace): id=15228, wt=116.000
% 8.85/9.14
% 8.85/9.14 Low Water (displace): id=15221, wt=108.000
% 8.85/9.14
% 8.85/9.14 Low Water (displace): id=15220, wt=100.000
% 8.85/9.14
% 8.85/9.14 Low Water (displace): id=15602, wt=98.000
% 8.85/9.14
% 8.85/9.14 Low Water (displace): id=15239, wt=96.000
% 8.85/9.14
% 8.85/9.14 Low Water (disCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------