0.02/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.10 % Command : tptp2X_and_run_prover9 %d %s 0.09/0.30 % Computer : n009.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % DateTime : Thu Jul 2 12:19:51 EDT 2020 0.09/0.31 % CPUTime : 0.98/1.27 ============================== Prover9 =============================== 0.98/1.27 Prover9 (32) version 2009-11A, November 2009. 0.98/1.27 Process 23783 was started by sandbox2 on n009.cluster.edu, 0.98/1.27 Thu Jul 2 12:19:52 2020 0.98/1.27 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_23630_n009.cluster.edu". 0.98/1.27 ============================== end of head =========================== 0.98/1.27 0.98/1.27 ============================== INPUT ================================= 0.98/1.27 0.98/1.27 % Reading from file /tmp/Prover9_23630_n009.cluster.edu 0.98/1.27 0.98/1.27 set(prolog_style_variables). 0.98/1.27 set(auto2). 0.98/1.27 % set(auto2) -> set(auto). 0.98/1.27 % set(auto) -> set(auto_inference). 0.98/1.27 % set(auto) -> set(auto_setup). 0.98/1.27 % set(auto_setup) -> set(predicate_elim). 0.98/1.27 % set(auto_setup) -> assign(eq_defs, unfold). 0.98/1.27 % set(auto) -> set(auto_limits). 0.98/1.27 % set(auto_limits) -> assign(max_weight, "100.000"). 0.98/1.27 % set(auto_limits) -> assign(sos_limit, 20000). 0.98/1.27 % set(auto) -> set(auto_denials). 0.98/1.27 % set(auto) -> set(auto_process). 0.98/1.27 % set(auto2) -> assign(new_constants, 1). 0.98/1.27 % set(auto2) -> assign(fold_denial_max, 3). 0.98/1.27 % set(auto2) -> assign(max_weight, "200.000"). 0.98/1.27 % set(auto2) -> assign(max_hours, 1). 0.98/1.27 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.98/1.27 % set(auto2) -> assign(max_seconds, 0). 0.98/1.27 % set(auto2) -> assign(max_minutes, 5). 0.98/1.27 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.98/1.27 % set(auto2) -> set(sort_initial_sos). 0.98/1.27 % set(auto2) -> assign(sos_limit, -1). 0.98/1.27 % set(auto2) -> assign(lrs_ticks, 3000). 0.98/1.27 % set(auto2) -> assign(max_megs, 400). 0.98/1.27 % set(auto2) -> assign(stats, some). 0.98/1.27 % set(auto2) -> clear(echo_input). 0.98/1.27 % set(auto2) -> set(quiet). 0.98/1.27 % set(auto2) -> clear(print_initial_clauses). 0.98/1.27 % set(auto2) -> clear(print_given). 0.98/1.27 assign(lrs_ticks,-1). 0.98/1.27 assign(sos_limit,10000). 0.98/1.27 assign(order,kbo). 0.98/1.27 set(lex_order_vars). 0.98/1.27 clear(print_given). 0.98/1.27 0.98/1.27 % formulas(sos). % not echoed (169 formulas) 0.98/1.27 0.98/1.27 ============================== end of input ========================== 0.98/1.27 0.98/1.27 % From the command line: assign(max_seconds, 960). 0.98/1.27 0.98/1.27 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.98/1.27 0.98/1.27 % Formulas that are not ordinary clauses: 0.98/1.27 1 (all X_a all X_b all X_c combs(X_a,X_b,X_c) = ti(fun(fun(X_a,fun(X_b,X_c)),fun(fun(X_a,X_b),fun(X_a,X_c))),combs(X_a,X_b,X_c))) # label(tsy_c_COMBS_res) # label(axiom) # label(non_clause). [assumption]. 0.98/1.27 2 (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),B) = ti(fun(X_a,bool),A_1))) # label(fact_52_set__eq__subset) # label(axiom) # label(non_clause). [assumption]. 0.98/1.27 3 (all X_a all A_3 hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),bot_bot(fun(X_a,bool))) = hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(X_a,fun(X_a,bool),fequal(X_a),A_3))) # label(fact_90_singleton__conv2) # label(axiom) # label(non_clause). [assumption]. 0.98/1.27 4 (all X_a all P_1 ti(fun(X_a,bool),P_1) = hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),P_1)) # label(fact_77_Collect__def) # label(axiom) # label(non_clause). [assumption]. 0.98/1.27 5 (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]. 0.98/1.27 6 (all X_a all A_3 all B_1 all C_1 all D_1 (ti(X_a,C_1) = ti(X_a,A_3) & ti(X_a,D_1) = ti(X_a,B_1) | ti(X_a,C_1) = ti(X_a,B_1) & ti(X_a,A_3) = ti(X_a,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)))))) # label(fact_63_doubleton__eq__iff) # label(axiom) # label(non_clause). [assumption]. 0.98/1.27 7 (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]. 0.98/1.27 8 (all X_a all A_3 all B_1 all A_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),A_3),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),B_1),A_1))) <-> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),A_3),A_1)) | ti(X_a,A_3) = ti(X_a,B_1))) # label(fact_39_insert__iff) # label(axiom) # label(non_clause). [assumption]. 0.98/1.27 9 (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]. 0.98/1.27 10 (all X_a all X_b all Z all F all A_1 ((exists X_1 (hAPP(X_b,X_a,F,X_1) = ti(X_a,Z) & hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),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))))) # label(fact_56_image__iff) # label(axiom) # label(non_clause). [assumption]. 0.98/1.27 11 (all X_a finite_finite(X_a) = ti(fun(fun(X_a,bool),bool),finite_finite(X_a))) # label(tsy_c_Finite__Set_Ofinite_res) # label(axiom) # label(non_clause). [assumption]. 0.98/1.27 12 (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]. 0.98/1.27 13 (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]. 0.98/1.27 14 (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,finite_finite(X_b),C)) & 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) = ti(fun(X_a,bool),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)),C),A_1))))))) # label(fact_97_finite__subset__image) # label(axiom) # label(non_clause). [assumption]. 0.98/1.27 15 (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]. 0.98/1.27 16 (all P all Q (-hBOOL(Q) | hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q)))) # label(help_fdisj_2_1_U) # label(axiom) # label(non_clause). [assumption]. 0.98/1.27 17 (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]. 0.98/1.27 18 (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]. 0.98/1.27 19 (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]. 0.98/1.27 20 (all P all Q (hBOOL(Q) | -hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q)))) # label(help_fconj_3_1_U) # label(axiom) # label(non_clause). [assumption]. 0.98/1.27 21 (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]. 0.98/1.27 22 (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]. 0.98/1.27 23 (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]. 0.98/1.27 24 (all X_a all B all X_2 all A_1 (-hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_1)) -> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)) <-> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),X_2),B)))))) # label(fact_79_subset__insert) # label(axiom) # label(non_clause). [assumption]. 0.98/1.27 25 (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]. 0.98/1.27 26 (all P (hBOOL(hAPP(com,bool,wt,hAPP(pname,com,body_1,P))) -> -(all Y_1 hAPP(com,option(com),some(com),Y_1) != hAPP(pname,option(com),body,P)))) # label(fact_95_WTs__elim__cases_I7_J) # label(axiom) # label(non_clause). [assumption]. 0.98/1.27 27 (all Q all P (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q)) | -hBOOL(Q) | -hBOOL(P))) # label(help_fconj_1_1_U) # label(axiom) # label(non_clause). [assumption]. 0.98/1.27 28 (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]. 0.98/1.27 29 (all X_b all X_a all X_c all F all G_1 all A_1 hAPP(fun(X_c,bool),fun(X_a,bool),hAPP(fun(X_c,X_a),fun(fun(X_c,bool),fun(X_a,bool)),image(X_c,X_a),hAPP(fun(X_c,X_b),fun(X_c,X_a),hAPP(fun(X_b,X_a),fun(fun(X_c,X_b),fun(X_c,X_a)),combb(X_b,X_a,X_c),F),G_1)),A_1) = hAPP(fun(X_b,bool),fun(X_a,bool),hAPP(fun(X_b,X_a),fun(fun(X_b,bool),fun(X_a,bool)),image(X_b,X_a),F),hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),G_1),A_1))) # label(fact_60_image__image) # label(axiom) # label(non_clause). [assumption]. 0.98/1.27 30 (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))) <-> bot_bot(fun(X_a,bool)) = ti(fun(X_a,bool),A_1))) # label(fact_31_all__not__in__conv) # label(axiom) # label(non_clause). [assumption]. 0.98/1.27 31 (all X_a all X_b combk(X_a,X_b) = ti(fun(X_a,fun(X_b,X_a)),combk(X_a,X_b))) # label(tsy_c_COMBK_res) # label(axiom) # label(non_clause). [assumption]. 0.98/1.27 32 (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]. 0.98/1.27 33 (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]. 0.98/1.27 34 (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]. 0.98/1.27 35 (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]. 0.98/1.27 36 (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]. 0.98/1.27 37 (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]. 0.98/1.27 38 (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]. 0.98/1.27 39 (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]. 0.98/1.27 40 (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]. 0.98/1.28 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]. 0.98/1.28 42 (all T all A ti(T,ti(T,A)) = ti(T,A)) # label(help_ti_idem) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 43 (all X_a all Y_2 ti(fun(X_a,bool),Y_2) = hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,X_a),fun(fun(X_a,bool),fun(X_a,bool)),image(X_a,X_a),combi(X_a)),Y_2)) # label(fact_59_image__ident) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 44 (all X_a all Y_3 all A_1 all X_2 (hBOOL(hAPP(X_a,bool,hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),Y_3),A_1),X_2)) <-> hBOOL(hAPP(X_a,bool,A_1,X_2)) | ti(X_a,Y_3) = ti(X_a,X_2))) # label(fact_38_insert__code) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 45 (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]. 0.98/1.28 46 (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]. 0.98/1.28 47 (all P all Q (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,P),Q)) | -hBOOL(Q))) # label(help_fimplies_2_1_U) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 48 (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]. 0.98/1.28 49 (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]. 0.98/1.28 50 (all X_a fequal(X_a) = ti(fun(X_a,fun(X_a,bool)),fequal(X_a))) # label(tsy_c_fequal_res) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 51 (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)) -> (ti(fun(X_a,bool),B) = 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),A_1) = hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),X_2),B))))) # label(fact_37_insert__ident) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 52 (all X_a hoare_122391849derivs(X_a) = ti(fun(fun(hoare_509422987triple(X_a),bool),fun(fun(hoare_509422987triple(X_a),bool),bool)),hoare_122391849derivs(X_a))) # label(tsy_c_Hoare__Mirabelle__pjuwniqynr_Ohoare__derivs_res) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 53 (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]. 0.98/1.28 54 (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]. 0.98/1.28 55 (all X_a all P ti(X_a,P) = hAPP(X_a,X_a,combi(X_a),P)) # label(help_COMBI_1_1_U) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 56 (all Pname_1 all Pname (ti(pname,Pname_1) = ti(pname,Pname) <-> hAPP(pname,com,body_1,Pname) = hAPP(pname,com,body_1,Pname_1))) # label(fact_99_com_Osimps_I6_J) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 57 (all X_a combi(X_a) = ti(fun(X_a,X_a),combi(X_a))) # label(tsy_c_COMBI_res) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 58 (all X_b all X_a all F all X_2 all Y_3 (hAPP(X_a,option(X_a),some(X_a),Y_3) = hAPP(X_b,option(X_a),F,X_2) -> hAPP(fun(X_b,option(X_a)),fun(X_b,bool),dom(X_b,X_a),F) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_2),hAPP(fun(X_b,option(X_a)),fun(X_b,bool),dom(X_b,X_a),F)))) # label(fact_16_insert__dom) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 59 (all X_a hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(bool,fun(X_a,bool),combk(bool,X_a),fFalse)) = bot_bot(fun(X_a,bool))) # label(fact_32_empty__def) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 60 (all P all Q (hBOOL(Q) | -hBOOL(P) | -hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,P),Q)))) # label(help_fimplies_3_1_U) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 61 (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]. 0.98/1.28 62 (all X_b all X_a all M all A_3 all B_1 (hAPP(X_a,option(X_a),some(X_a),B_1) = hAPP(X_b,option(X_a),M,A_3) -> 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]. 0.98/1.28 63 (all X_b all X_a all P all Q ti(X_a,P) = hAPP(X_b,X_a,hAPP(X_a,fun(X_b,X_a),combk(X_a,X_b),P),Q)) # label(help_COMBK_1_1_U) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 64 (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,A_3) = ti(X_a,B_1))) # label(fact_64_singleton__iff) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 65 (all X_a all A_1 all B (ti(fun(X_a,bool),B) = ti(fun(X_a,bool),A_1) -> hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),B),A_1)))) # label(fact_50_equalityD2) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 66 (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]. 0.98/1.28 67 (all P (fTrue = ti(bool,P) | fFalse = ti(bool,P))) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 68 (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]. 0.98/1.28 69 (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]. 0.98/1.28 70 (all X_a all A_3 all B hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,bool)),combs(X_a,bool,bool),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fdisj),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fequal(X_a)),A_3))),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),B))) = hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),B)) # label(fact_43_insert__compr) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 71 (all X_a all X_c all B_1_1 all B_2_1 hAPP(X_a,X_c,B_1_1,B_2_1) = hAPP(X_a,X_c,B_1_1,ti(X_a,B_2_1))) # label(tsy_c_hAPP_arg2) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 72 (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]. 0.98/1.28 73 (all X_b all X_a all F all X_2 all A_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_1)) -> hAPP(fun(X_a,bool),fun(X_b,bool),hAPP(fun(X_a,X_b),fun(fun(X_a,bool),fun(X_b,bool)),image(X_a,X_b),F),A_1) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),hAPP(X_a,X_b,F,X_2)),hAPP(fun(X_a,bool),fun(X_b,bool),hAPP(fun(X_a,X_b),fun(fun(X_a,bool),fun(X_b,bool)),image(X_a,X_b),F),A_1)))) # label(fact_82_insert__image) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 74 (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]. 0.98/1.28 75 (all X_a all X_c all X_b all P all Q all R hAPP(X_b,X_c,P,hAPP(X_a,X_b,Q,R)) = hAPP(X_a,X_c,hAPP(fun(X_a,X_b),fun(X_a,X_c),hAPP(fun(X_b,X_c),fun(fun(X_a,X_b),fun(X_a,X_c)),combb(X_b,X_c,X_a),P),Q),R)) # label(help_COMBB_1_1_U) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 76 (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]. 0.98/1.28 77 (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]. 0.98/1.28 78 (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]. 0.98/1.28 79 (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_27_Collect__empty__eq) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 80 (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,A_3) = ti(X_a,B_1))) # label(fact_62_singletonE) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 81 (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]. 0.98/1.28 82 (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))))) -> 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))) = ti(fun(X_a,bool),A_1))) # label(fact_18_subset__singletonD) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 83 (all X_b all X_a all C_1 all A_1 ((bot_bot(fun(X_a,bool)) != ti(fun(X_a,bool),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))) = 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_a,bool)) = ti(fun(X_a,bool),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) = bot_bot(fun(X_b,bool))))) # label(fact_14_image__constant__conv) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 84 (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]. 0.98/1.28 85 (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]. 0.98/1.28 86 (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]. 0.98/1.28 87 (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]. 0.98/1.28 88 (all X_a all X_b all X_c combc(X_a,X_b,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))) # label(tsy_c_COMBC_res) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 89 (all Q all P (hBOOL(P) | hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,P),Q)))) # label(help_fimplies_1_1_U) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 90 (all B_1_1 (hBOOL(B_1_1) <-> hBOOL(ti(bool,B_1_1)))) # label(tsy_c_hBOOL_arg1) # label(hypothesis) # label(non_clause). [assumption]. 0.98/1.28 91 (all X_a all X_c all X_b all P all Q all R hAPP(X_b,X_c,hAPP(X_a,fun(X_b,X_c),P,R),hAPP(X_a,X_b,Q,R)) = hAPP(X_a,X_c,hAPP(fun(X_a,X_b),fun(X_a,X_c),hAPP(fun(X_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)) # label(help_COMBS_1_1_U) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 92 (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]. 0.98/1.28 93 (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)) -> bot_bot(fun(X_a,bool)) = hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,bool)),combs(X_a,bool,bool),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fconj),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fequal(X_a)),A_3))),P_1))))) # label(fact_87_Collect__conv__if) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 94 (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]. 0.98/1.28 95 (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]. 0.98/1.28 96 (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_65_insert__not__empty) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 97 (all X_a all X_b all F all A_1 (bot_bot(fun(X_b,bool)) = ti(fun(X_b,bool),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)))) # label(fact_71_empty__is__image) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 98 (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]. 0.98/1.28 99 (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]. 0.98/1.28 100 (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]. 0.98/1.28 101 (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]. 0.98/1.28 102 (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]. 0.98/1.28 103 (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))) <-> bot_bot(fun(X_a,bool)) != ti(fun(X_a,bool),A_1))) # label(fact_30_ex__in__conv) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 104 (all X_a member(X_a) = ti(fun(X_a,fun(fun(X_a,bool),bool)),member(X_a))) # label(tsy_c_member_res) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 105 (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]. 0.98/1.28 106 (all X_a all X_b all B all F all A_1 ((exists AA (hAPP(fun(X_b,bool),fun(X_a,bool),hAPP(fun(X_b,X_a),fun(fun(X_b,bool),fun(X_a,bool)),image(X_b,X_a),F),AA) = ti(fun(X_a,bool),B) & hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),AA),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))))) # label(fact_85_subset__image__iff) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 107 (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]. 0.98/1.28 108 (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]. 0.98/1.28 109 (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]. 0.98/1.28 110 (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),G_1) = ti(fun(X_a,X_b),F))) # label(fact_75_ext) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 111 (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]. 0.98/1.28 112 (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]. 0.98/1.28 113 (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)) -> (hAPP(X_a,X_b,F,X_2) = ti(X_b,B_1) -> 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]. 0.98/1.28 114 (all X_a all A_1 all B (ti(fun(X_a,bool),B) = ti(fun(X_a,bool),A_1) -> -(hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_eq(fun(X_a,bool)),A_1),B)) -> -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]. 0.98/1.28 115 (all X_a all P_1 ((all X_1 -hBOOL(hAPP(X_a,bool,P_1,X_1))) <-> hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),P_1) = bot_bot(fun(X_a,bool)))) # label(fact_29_empty__Collect__eq) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 116 (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]. 0.98/1.28 117 (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)))) <-> bot_bot(fun(X_a,bool)) = ti(fun(X_a,bool),A_1))) # label(fact_68_subset__empty) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 118 (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,B_1) = ti(X_a,A_3)) -> 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]. 0.98/1.28 119 (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]. 0.98/1.28 120 (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]. 0.98/1.28 121 (all X_b all X_a all F all A_1 (ti(fun(X_b,bool),A_1) = bot_bot(fun(X_b,bool)) <-> 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))) # label(fact_69_image__is__empty) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 122 (all X_a all X all Y (ti(X_a,Y) = ti(X_a,X) | -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),fequal(X_a),X),Y)))) # label(help_fequal_1_1_T) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 123 (all X_a undefined(X_a) = ti(X_a,undefined(X_a))) # label(tsy_c_HOL_Oundefined_res) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 124 (all Q all P (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q)) | -hBOOL(P))) # label(help_fdisj_1_1_U) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 125 (all X_a all X_2 all A_1 all 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)) <-> 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)))) # label(fact_80_insert__subset) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 126 (all P all Q (-hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q)) | hBOOL(P))) # label(help_fconj_2_1_U) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 127 (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),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)) = 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))) # label(fact_40_insert__commute) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 128 (all X_a all A_3 hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),bot_bot(fun(X_a,bool))) = hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(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))) # label(fact_89_singleton__conv) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 129 (all X_a bot_bot(fun(X_a,bool)) = ti(fun(X_a,bool),bot_bot(fun(X_a,bool)))) # label(tsy_c_Orderings_Obot__class_Obot_res) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 130 (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]. 0.98/1.28 131 (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]. 0.98/1.28 132 (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]. 0.98/1.28 133 (all Pn all B_2 (hBOOL(wT_bodies) -> (hAPP(com,option(com),some(com),B_2) = hAPP(pname,option(com),body,Pn) -> hBOOL(hAPP(com,bool,wt,B_2))))) # label(fact_92_WT__bodiesD) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 134 (all X_c all X_a all B_1_1 all B_2_1 hAPP(X_a,X_c,B_1_1,B_2_1) = ti(X_c,hAPP(X_a,X_c,B_1_1,B_2_1))) # label(tsy_c_hAPP_res) # label(axiom) # label(non_clause). [assumption]. 0.98/1.28 135 (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]. 6.96/7.33 136 (all X_a all X_b image(X_a,X_b) = ti(fun(fun(X_a,X_b),fun(fun(X_a,bool),fun(X_b,bool))),image(X_a,X_b))) # label(tsy_c_Set_Oimage_res) # label(axiom) # label(non_clause). [assumption]. 6.96/7.33 137 (all X_a all A_3 all A_1 hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(X_a,fun(fun(X_a,bool),fun(X_a,bool)),insert(X_a),A_3),A_1) != bot_bot(fun(X_a,bool))) # label(fact_66_empty__not__insert) # label(axiom) # label(non_clause). [assumption]. 6.96/7.33 138 (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]. 6.96/7.33 139 (all P (-hBOOL(P) | -hBOOL(hAPP(bool,bool,fNot,P)))) # label(help_fNot_1_1_U) # label(axiom) # label(non_clause). [assumption]. 6.96/7.33 140 (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]. 6.96/7.33 141 (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]. 6.96/7.33 142 (all P (hBOOL(P) | hBOOL(hAPP(bool,bool,fNot,P)))) # label(help_fNot_2_1_U) # label(axiom) # label(non_clause). [assumption]. 6.96/7.33 6.96/7.33 ============================== end of process non-clausal formulas === 6.96/7.33 6.96/7.33 ============================== PROCESS INITIAL CLAUSES =============== 6.96/7.33 6.96/7.33 ============================== PREDICATE ELIMINATION ================= 6.96/7.33 6.96/7.33 ============================== end predicate elimination ============= 6.96/7.33 6.96/7.33 Auto_denials: (non-Horn, no changes). 6.96/7.33 6.96/7.33 Term ordering decisions: 6.96/7.33 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. f5=1. f7=1. f8=1. f13=1. f14=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. f4=1. combb=1. combs=1. combc=1. f6=1. hAPP=1. f10=1. f11=1. f12=1. f1=1. f2=1. f3=1. f9=1. 6.96/7.33 6.96/7.33 ============================== end of process initial clauses ======== 6.96/7.33 6.96/7.33 ============================== CLAUSES FOR SEARCH ==================== 6.96/7.33 6.96/7.33 ============================== end of clauses for search ============= 6.96/7.33 6.96/7.33 ============================== SEARCH ================================ 6.96/7.33 6.96/7.33 % Starting search at 0.10 seconds. 6.96/7.33 6.96/7.33 Low Water (keep): wt=117.000, iters=3336 6.96/7.33 6.96/7.33 Low Water (keep): wt=114.000, iters=3562 6.96/7.33 6.96/7.33 Low Water (keep): wt=94.000, iters=3343 6.96/7.33 6.96/7.33 Low Water (keep): wt=88.000, iters=3387 6.96/7.33 6.96/7.33 Low Water (keep): wt=81.000, iters=3379 6.96/7.33 6.96/7.33 Low Water (keep): wt=78.000, iters=3342 6.96/7.33 6.96/7.33 Low Water (keep): wt=72.000, iters=3350 6.96/7.33 6.96/7.33 Low Water (keep): wt=64.000, iters=3366 6.96/7.33 6.96/7.33 Low Water (keep): wt=62.000, iters=3333 6.96/7.33 6.96/7.33 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 42 (0.00 of 1.44 sec). 6.96/7.33 6.96/7.33 Low Water (keep): wt=50.000, iters=3345 6.96/7.33 6.96/7.33 Low Water (keep): wt=46.000, iters=3539 6.96/7.33 6.96/7.33 Low Water (keep): wt=23.000, iters=3335 6.96/7.33 6.96/7.33 Low Water (keep): wt=18.000, iters=3353 6.96/7.33 6.96/7.33 Low Water (keep): wt=14.000, iters=3337 6.96/7.33 6.96/7.33 Low Water (keep): wt=13.000, iters=3342 6.96/7.33 6.96/7.33 Low Water (displace): id=11007, wt=200.000 6.96/7.33 6.96/7.33 Low Water (displace): id=10813, wt=199.000 6.96/7.33 6.96/7.33 Low Water (displace): id=11142, wt=198.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11153, wt=197.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11149, wt=196.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11145, wt=195.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11154, wt=194.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11499, wt=193.000 20.67/20.98 20.67/20.98 Low Water (displace): id=10136, wt=192.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11151, wt=191.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11099, wt=190.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11036, wt=189.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11152, wt=188.000 20.67/20.98 20.67/20.98 Low Water (displace): id=10210, wt=187.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11528, wt=186.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11524, wt=185.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11478, wt=184.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11674, wt=183.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11534, wt=182.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11728, wt=181.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11678, wt=180.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11703, wt=179.000 20.67/20.98 20.67/20.98 Low Water (displace): id=10939, wt=178.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11733, wt=177.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11707, wt=176.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11104, wt=175.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11735, wt=174.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11702, wt=173.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11625, wt=172.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12038, wt=171.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11997, wt=170.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11731, wt=169.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12040, wt=168.000 20.67/20.98 20.67/20.98 Low Water (displace): id=10649, wt=167.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11842, wt=166.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11700, wt=165.000 20.67/20.98 20.67/20.98 Low Water (displace): id=10935, wt=164.000 20.67/20.98 20.67/20.98 Low Water (displace): id=11386, wt=163.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12283, wt=162.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12316, wt=161.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12288, wt=160.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12301, wt=159.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12376, wt=158.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12148, wt=157.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12458, wt=156.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12385, wt=155.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12502, wt=154.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12552, wt=153.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12596, wt=152.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12603, wt=151.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12899, wt=150.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12369, wt=149.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12592, wt=148.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12624, wt=147.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12748, wt=146.000 20.67/20.98 20.67/20.98 Low Water (displace): id=13011, wt=145.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12770, wt=144.000 20.67/20.98 20.67/20.98 Low Water (displace): id=13042, wt=143.000 20.67/20.98 20.67/20.98 Low Water (displace): id=13358, wt=142.000 20.67/20.98 20.67/20.98 Low Water (displace): id=13362, wt=141.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12982, wt=140.000 20.67/20.98 20.67/20.98 Low Water (displace): id=13507, wt=139.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12910, wt=138.000 20.67/20.98 20.67/20.98 Low Water (displace): id=12698, wt=137.000 20.67/20.98 20.67/20.98 Low Water (displace): id=13738, wt=136.000 20.67/20.98 20.67/20.98 Low Water (displace): id=13734, wt=135.000 20.67/20.98 20.67/20.98 Low Water (displace): id=13894, wt=134.000 20.67/20.98 20.67/20.98 Low Water (displace): id=13814, wt=133.000 20.67/20.98 20.67/20.98 Low Water (displace): id=13856, wt=132.000 20.67/20.98 20.67/20.98 Low Water (displace): id=13487, wt=131.000 20.67/20.98 20.67/20.98 Low Water (displace): id=13674, wt=130.000 20.67/20.98 20.67/20.98 Low Water (displace): id=13802, wt=129.000 20.67/20.98 20.67/20.98 Low Water (displace): id=13409, wt=128.000 20.67/20.98 20.67/20.98 Low Water (displace): id=13916, wt=127.000 20.67/20.98 20.67/20.98 Low Water (displace): id=13908, wt=126.000 20.67/20.98 20.67/20.98 Low Water (displace): id=14140, wt=125.000 20.67/20.98 20.67/20.98 Low Water (displace): id=14349, wt=124.000 20.67/20.98 20.67/20.98 Low Water (displace): id=14369, wt=123.000 20.67/20.98 20.67/20.98 Low Water (displace): id=14274, wt=122.000 20.67/20.98 20.67/20.98 Low Water (displace): id=14368, wt=121.000 20.67/20.98 20.67/20.98 Low Water (displace): id=14366, wt=120.000 20.67/20.98 20.67/20.98 Low Water (displace): id=14404, wt=119.000 20.67/20.98 20.67/20.98 Low Water (displace): id=14498, wt=118.000 20.67/20.98 20.67/20.98 Low Water (displace): id=14560, wt=117.000 20.67/20.98 20.67/20.98 Low Water (displace): id=14786, wt=116.000 20.67/20.98 20.67/20.98 Low Water (displace): id=14924, wt=115.000 20.67/20.98 20.67/20.98 Low Water (displace): id=14955, wt=114.000 20.67/20.98 20.67/20.98 Low Water (displace): id=15111, wt=113.000 20.67/20.98 20.67/20.98 Low Water (displace): id=15023, wt=112.000 20.67/20.98 20.67/20.98 Low Water (displace): id=15494, wt=111.000 20.67/20.98 20.67/20.98 Low Water (displace): id=15518, wt=110.000 20.67/20.98 20.67/20.98 Low Water (displace): id=15516, wt=109.000 20.67/20.98 20.67/20.98 Low Water (displace): id=15450, wt=108.000 20.67/20.98 20.67/20.98 Low Water (displace): id=15637, wt=107.000 20.67/20.98 20.67/20.98 Low Water (displace): id=15645, wt=106.000 20.67/20.98 20.67/20.98 Low Water (displace): id=15809, wt=105.000Alarm clock 119.61/120.09 Prover9 interrupted 119.61/120.09 EOF