%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV826-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n013.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  : 300s
% DateTime : Wed May 29 18:16:13 EDT 2024

% Result   : Unsatisfiable 26.21s 26.41s
% Output   : Proof 26.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.17  % Problem    : SWV826-1 : TPTP v8.2.0. Released v4.1.0.
% 0.18/0.18  % Command    : do_cvc5 %s %d
% 0.18/0.40  % Computer : n013.cluster.edu
% 0.18/0.40  % Model    : x86_64 x86_64
% 0.18/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.40  % Memory   : 8042.1875MB
% 0.18/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.40  % CPULimit   : 300
% 0.18/0.40  % WCLimit    : 300
% 0.18/0.40  % DateTime   : Mon May 27 01:10:10 EDT 2024
% 0.18/0.40  % CPUTime    : 
% 0.40/0.68  %----Proving TF0_NAR, FOF, or CNF
% 0.40/0.68  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.60/10.80  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.63/15.84  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.69/20.89  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.72/25.93  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.21/26.41  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.8qevBre8nN/cvc5---1.0.5_14396.smt2
% 26.21/26.41  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.8qevBre8nN/cvc5---1.0.5_14396.smt2
% 26.23/26.42  (assume a0 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_A))))
% 26.23/26.42  (assume a1 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_g $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_b)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun tptp.t_a T_b)) V_f) V_g) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_b) (tptp.hAPP V_f tptp.v_x)) (tptp.hAPP V_g tptp.v_x))))))
% 26.23/26.42  (assume a2 (forall ((V_g $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (or (tptp.c_Fun_Oinj__on V_g (tptp.c_Set_Oimage V_f V_A T_a T_c) T_c T_b) (not (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ocomp V_g V_f T_c T_b T_a) V_A T_a T_b)))))
% 26.23/26.42  (assume a3 (forall ((T_a $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (V_A $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C)) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_A)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_C) V_A)))))
% 26.23/26.42  (assume a4 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_C)))))
% 26.23/26.42  (assume a5 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Odistrib__lattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_z))))))
% 26.23/26.42  (assume a6 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Odistrib__lattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_y) V_z)) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_y) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_z) V_x))))))
% 26.23/26.42  (assume a7 (forall ((V_P $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.hBOOL (tptp.c_in V_x (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Collect V_P T_a)) T_a))))))
% 26.23/26.42  (assume a8 (forall ((T_a $$unsorted) (V_A $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_A) V_A)))
% 26.23/26.42  (assume a9 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_x) V_x))))
% 26.23/26.42  (assume a10 (forall ((V_f $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted) (T_b $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_A) T_a T_b) (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_a) (tptp.c_Set_Oimage V_f (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b) T_b)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))))
% 26.23/26.42  (assume a11 (forall ((V_A $$unsorted) (T_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) V_B T_b (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) V_A)))
% 26.23/26.42  (assume a12 (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_S T_a)) (not (tptp.hBOOL (tptp.hAPP V_S V_x))))))
% 26.23/26.42  (assume a13 (forall ((V_S $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_S V_x)) (not (tptp.hBOOL (tptp.c_in V_x V_S T_a))))))
% 26.23/26.42  (assume a14 (forall ((V_P $$unsorted) (V_Q $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (V_R $$unsorted)) (= (tptp.hAPP (tptp.c_COMBB V_P V_Q T_b T_a T_c) V_R) (tptp.hAPP V_P (tptp.hAPP V_Q V_R)))))
% 26.23/26.42  (assume a15 (forall ((V_P $$unsorted) (V_Q $$unsorted) (V_R $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted)) (= (tptp.c_COMBC V_P V_Q V_R T_b T_c T_a) (tptp.hAPP (tptp.hAPP V_P V_R) V_Q))))
% 26.23/26.42  (assume a16 (forall ((T_a $$unsorted) (V_P $$unsorted)) (= (tptp.hAPP (tptp.c_COMBI T_a) V_P) V_P)))
% 26.23/26.42  (assume a17 (forall ((V_P $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_Q $$unsorted)) (= (tptp.hAPP (tptp.c_COMBK V_P T_a T_b) V_Q) V_P)))
% 26.23/26.42  (assume a18 (forall ((V_P $$unsorted) (V_Q $$unsorted) (V_R $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted)) (= (tptp.c_COMBS V_P V_Q V_R T_b T_c T_a) (tptp.hAPP (tptp.hAPP V_P V_R) (tptp.hAPP V_Q V_R)))))
% 26.23/26.42  (assume a19 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_b tptp.tc_bool)) (tptp.c_Set_Oimage V_f (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)) (tptp.c_Set_Oimage V_f (tptp.c_HOL_Ominus__class_Ominus V_B V_A (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)))) (not (tptp.c_Fun_Oinj__on V_f V_B T_a T_b)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)) (tptp.c_Fun_Oinj__on V_f (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) T_a T_b))))
% 26.23/26.42  (assume a20 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_b tptp.tc_bool)) (tptp.c_Set_Oimage V_f (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)) (tptp.c_Set_Oimage V_f (tptp.c_HOL_Ominus__class_Ominus V_B V_A (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) T_a T_b)))))
% 26.23/26.42  (assume a21 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.23/26.42  (assume a22 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_xa V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a))) (= V_xa V_y))))
% 26.23/26.42  (assume a23 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (= V_x_H V_y_H))))
% 26.23/26.42  (assume a24 (forall ((T_a $$unsorted) (V_M $$unsorted) (V_N $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax V_M T_a) (tptp.c_Finite__Set_Olinorder__class_OMax V_N T_a) T_a) (not (tptp.c_Finite__Set_Ofinite V_N T_a)) (= V_M (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_M V_N (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a25 (forall ((V_less $$unsorted) (V_x $$unsorted) (V_less__eq $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) V_x))) (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)))))
% 26.23/26.42  (assume a26 (forall ((V_less__eq $$unsorted) (V_less $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) V_x))))))
% 26.23/26.42  (assume a27 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals (tptp.c_SetInterval_Oord__class_OlessThan V_x T_a) (tptp.c_SetInterval_Oord__class_OlessThan V_y T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 26.23/26.42  (assume a28 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_x V_y T_a) (not (tptp.c_lessequals (tptp.c_SetInterval_Oord__class_OlessThan V_x T_a) (tptp.c_SetInterval_Oord__class_OlessThan V_y T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a29 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 26.23/26.42  (assume a30 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_B) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_C)))))
% 26.23/26.42  (assume a31 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)) V_C) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C)))))
% 26.23/26.42  (assume a32 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_y) V_z))))))
% 26.23/26.42  (assume a33 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_z))))))
% 26.23/26.42  (assume a34 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_z))))))
% 26.23/26.42  (assume a35 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_y) V_z))))))
% 26.23/26.42  (assume a36 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) T_a))))))
% 26.23/26.42  (assume a37 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) T_a))))))
% 26.23/26.42  (assume a38 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y))) (not (tptp.hBOOL (tptp.c_in V_y V_A T_a))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (= V_x V_y) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))))
% 26.23/26.42  (assume a39 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y))) (not (tptp.hBOOL (tptp.c_in V_y V_A T_a))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)) (= V_x V_y))))
% 26.23/26.42  (assume a40 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_xa))) (not (tptp.hBOOL (tptp.c_in V_xa V_A T_a))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)) (= V_x V_xa))))
% 26.23/26.42  (assume a41 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y))) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)) (= V_x V_y) (not (tptp.hBOOL (tptp.c_in V_y V_A T_a))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))))
% 26.23/26.42  (assume a42 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_A) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a43 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_B) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a44 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y) V_x) (not (tptp.c_lessequals V_x V_y T_a)))))
% 26.23/26.42  (assume a45 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y) V_x)) (tptp.c_lessequals V_x V_y T_a))))
% 26.23/26.42  (assume a46 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y) V_y) (not (tptp.c_lessequals V_y V_x T_a)))))
% 26.23/26.42  (assume a47 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a48 (forall ((V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (tptp.c_lessequals V_B (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) (tptp.tc_fun T_a tptp.tc_bool))))
% 26.23/26.42  (assume a49 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (tptp.c_lessequals V_A (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) (tptp.tc_fun T_a tptp.tc_bool))))
% 26.23/26.42  (assume a50 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a51 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_a) V_b) V_x T_a) (not (tptp.c_lessequals V_b V_x T_a)) (not (tptp.c_lessequals V_a V_x T_a)))))
% 26.23/26.42  (assume a52 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y) T_a))))
% 26.23/26.42  (assume a53 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_y (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y) T_a))))
% 26.23/26.42  (assume a54 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_y) V_z) V_x T_a) (not (tptp.c_lessequals V_z V_x T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 26.23/26.42  (assume a55 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y) V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_z T_a)))))
% 26.23/26.42  (assume a56 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals V_y (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y) T_a))))
% 26.23/26.42  (assume a57 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals V_x (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y) T_a))))
% 26.23/26.42  (assume a58 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_A))))
% 26.23/26.42  (assume a59 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_y) V_x)))))
% 26.23/26.42  (assume a60 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_y) V_x)))))
% 26.23/26.42  (assume a61 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_HOL_Ominus__class_Ominus V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) V_B) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a62 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (= (tptp.c_SetInterval_Oord__class_OlessThan V_x T_a) (tptp.c_SetInterval_Oord__class_OlessThan V_y T_a))) (= V_x V_y))))
% 26.23/26.42  (assume a63 (forall ((V_fun_H $$unsorted) (V_com1_H $$unsorted) (V_com2_H $$unsorted)) (not (= tptp.c_Com_Ocom_OSKIP (tptp.c_Com_Ocom_OCond V_fun_H V_com1_H V_com2_H)))))
% 26.23/26.42  (assume a64 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_y) V_z)) T_a))))
% 26.23/26.42  (assume a65 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool))))
% 26.23/26.42  (assume a66 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_C) V_A)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_C) V_A)))))
% 26.23/26.42  (assume a67 (forall ((V_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Set_Oimage (tptp.c_COMBK V_c T_a T_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.23/26.42  (assume a68 (forall ((V_a $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a (tptp.c_Collect V_P T_a) T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_a))))))
% 26.23/26.42  (assume a69 (forall ((V_P $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (not (tptp.hBOOL (tptp.c_in V_a (tptp.c_Collect V_P T_a) T_a))))))
% 26.23/26.42  (assume a70 (forall ((V_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK V_c T_b T_a) V_A T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_c) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))))
% 26.23/26.42  (assume a71 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_b))) (not (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_b T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a72 (forall ((V_B $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_B T_b) (not (tptp.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 26.23/26.42  (assume a73 (forall ((V_f $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (V_C $$unsorted)) (or (= (tptp.c_Set_Oimage V_f (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_b tptp.tc_bool)) (tptp.c_Set_Oimage V_f V_A T_a T_b)) (tptp.c_Set_Oimage V_f V_B T_a T_b))) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f V_C T_a T_b)))))
% 26.23/26.42  (assume a74 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_lessequals V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_B) (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a75 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_B) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a76 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_B) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a77 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Finite__Set_Ofold1 V_f V_A T_a) (tptp.c_The (tptp.c_Finite__Set_Ofold1Set V_f V_A T_a) T_a))))
% 26.23/26.42  (assume a78 (forall ((T_b $$unsorted) (V_M $$unsorted) (V_i $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_b)) (tptp.c_lessequals (tptp.hAPP V_M V_i) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_M T_a T_b) T_b) (not (tptp.hBOOL (tptp.c_in V_i V_A T_a))))))
% 26.23/26.42  (assume a79 (forall ((V_B $$unsorted) (V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP V_B V_a) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_B T_a (tptp.tc_fun T_b tptp.tc_bool)) (tptp.tc_fun T_b tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))))
% 26.23/26.42  (assume a80 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_A) V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.c_in V_x V_B T_a))))))
% 26.23/26.42  (assume a81 (forall ((T_a $$unsorted) (V_Y $$unsorted)) (= (tptp.c_Set_Oimage (tptp.c_COMBI T_a) V_Y T_a T_a) V_Y)))
% 26.23/26.42  (assume a82 (forall ((V_fun_H $$unsorted) (V_com_H $$unsorted)) (not (= (tptp.c_Com_Ocom_OWhile V_fun_H V_com_H) tptp.c_Com_Ocom_OSKIP))))
% 26.23/26.42  (assume a83 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x V_xa T_a) (not (tptp.hBOOL (tptp.c_in V_xa V_A T_a))) (not (tptp.c_lessequals V_x (tptp.c_Finite__Set_Ofold1 (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_A T_a) T_a)) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 26.23/26.42  (assume a84 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 26.23/26.42  (assume a85 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))))
% 26.23/26.42  (assume a86 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (= (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_A) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_a) (tptp.c_Complete__Lattice_OInf__class_OInf V_A T_a))))))
% 26.23/26.42  (assume a87 (forall ((V_P $$unsorted) (T_a $$unsorted)) (= (tptp.c_Collect V_P T_a) V_P)))
% 26.23/26.42  (assume a88 (forall ((T_a $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_Finite__Set_Ofun__left__comm__idem (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) T_a T_a))))
% 26.23/26.42  (assume a89 (forall ((V_com1 $$unsorted) (V_com2 $$unsorted) (V_com1_H $$unsorted) (V_com2_H $$unsorted)) (or (not (= (tptp.c_Com_Ocom_OSemi V_com1 V_com2) (tptp.c_Com_Ocom_OSemi V_com1_H V_com2_H))) (= V_com2 V_com2_H))))
% 26.23/26.42  (assume a90 (forall ((V_com1 $$unsorted) (V_com2 $$unsorted) (V_com1_H $$unsorted) (V_com2_H $$unsorted)) (or (not (= (tptp.c_Com_Ocom_OSemi V_com1 V_com2) (tptp.c_Com_Ocom_OSemi V_com1_H V_com2_H))) (= V_com1 V_com1_H))))
% 26.23/26.42  (assume a91 (forall ((V_com1 $$unsorted) (V_com2 $$unsorted) (V_fun_H $$unsorted) (V_com_H $$unsorted)) (not (= (tptp.c_Com_Ocom_OSemi V_com1 V_com2) (tptp.c_Com_Ocom_OWhile V_fun_H V_com_H)))))
% 26.23/26.42  (assume a92 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_A) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_a) (tptp.c_Complete__Lattice_OSup__class_OSup V_A T_a))))))
% 26.23/26.42  (assume a93 (forall ((V_com1 $$unsorted) (V_com2 $$unsorted) (V_fun_H $$unsorted) (V_com1_H $$unsorted) (V_com2_H $$unsorted)) (not (= (tptp.c_Com_Ocom_OSemi V_com1 V_com2) (tptp.c_Com_Ocom_OCond V_fun_H V_com1_H V_com2_H)))))
% 26.23/26.42  (assume a94 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.c_Finite__Set_Ofinite V_B T_a)))))
% 26.23/26.42  (assume a95 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)) (not (tptp.c_Finite__Set_Ofinite V_B T_a)))))
% 26.23/26.42  (assume a96 (forall ((T_a $$unsorted) (V_A $$unsorted)) (tptp.c_Fun_Oinj__on (tptp.c_COMBI T_a) V_A T_a T_a)))
% 26.23/26.42  (assume a97 (forall ((V_B $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.hAPP V_B V_x) T_b) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_B T_a (tptp.tc_fun T_b tptp.tc_bool)) T_b)) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 26.23/26.42  (assume a98 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_B T_b (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= (tptp.hAPP V_B V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_b))))))
% 26.23/26.42  (assume a99 (forall ((V_fun $$unsorted) (V_com1 $$unsorted) (V_com2 $$unsorted) (V_fun_H $$unsorted) (V_com_H $$unsorted)) (not (= (tptp.c_Com_Ocom_OCond V_fun V_com1 V_com2) (tptp.c_Com_Ocom_OWhile V_fun_H V_com_H)))))
% 26.23/26.42  (assume a100 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))))
% 26.23/26.42  (assume a101 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b))) (not (tptp.c_Fun_Oinj__on V_f (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) T_a T_b)) (= V_A V_B))))
% 26.23/26.42  (assume a102 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c V_B T_a))) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))))
% 26.23/26.42  (assume a103 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_I $$unsorted) (T_b $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP V_A V_x) V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_x V_I T_b))) (not (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_I V_A T_b (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a104 (forall ((V_c $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_f $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_COMBK V_c T_b T_c) V_f T_c T_b tptp.t_a) tptp.v_x) V_c)))
% 26.23/26.42  (assume a105 (forall ((V_fun_H $$unsorted) (V_com1_H $$unsorted) (V_com2_H $$unsorted) (V_com1 $$unsorted) (V_com2 $$unsorted)) (not (= (tptp.c_Com_Ocom_OCond V_fun_H V_com1_H V_com2_H) (tptp.c_Com_Ocom_OSemi V_com1 V_com2)))))
% 26.23/26.42  (assume a106 (forall ((T_b $$unsorted) (V_A $$unsorted) (V_k $$unsorted) (V_I $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_b tptp.tc_bool)) (tptp.hAPP V_A V_k)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_I V_A T_a (tptp.tc_fun T_b tptp.tc_bool))) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_I V_A T_a (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.hBOOL (tptp.c_in V_k V_I T_a))))))
% 26.23/26.42  (assume a107 (forall ((V_fun $$unsorted) (V_com1 $$unsorted) (V_com2 $$unsorted) (V_fun_H $$unsorted) (V_com1_H $$unsorted) (V_com2_H $$unsorted)) (or (not (= (tptp.c_Com_Ocom_OCond V_fun V_com1 V_com2) (tptp.c_Com_Ocom_OCond V_fun_H V_com1_H V_com2_H))) (= V_com2 V_com2_H))))
% 26.23/26.42  (assume a108 (forall ((V_fun $$unsorted) (V_com1 $$unsorted) (V_com2 $$unsorted) (V_fun_H $$unsorted) (V_com1_H $$unsorted) (V_com2_H $$unsorted)) (or (not (= (tptp.c_Com_Ocom_OCond V_fun V_com1 V_com2) (tptp.c_Com_Ocom_OCond V_fun_H V_com1_H V_com2_H))) (= V_com1 V_com1_H))))
% 26.23/26.42  (assume a109 (forall ((V_fun $$unsorted) (V_com1 $$unsorted) (V_com2 $$unsorted) (V_fun_H $$unsorted) (V_com1_H $$unsorted) (V_com2_H $$unsorted)) (or (not (= (tptp.c_Com_Ocom_OCond V_fun V_com1 V_com2) (tptp.c_Com_Ocom_OCond V_fun_H V_com1_H V_com2_H))) (= V_fun V_fun_H))))
% 26.23/26.42  (assume a110 (forall ((V_f $$unsorted) (T_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Set_Oimage V_f (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_b tptp.tc_bool)) V_A) V_B) T_b T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f V_A T_b T_a)) (tptp.c_Set_Oimage V_f V_B T_b T_a)) (tptp.tc_fun T_a tptp.tc_bool))))
% 26.23/26.42  (assume a111 (forall ((T_a $$unsorted) (V_F $$unsorted) (V_G $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_F) V_G) T_a) (not (tptp.c_Finite__Set_Ofinite V_G T_a)) (not (tptp.c_Finite__Set_Ofinite V_F T_a)))))
% 26.23/26.42  (assume a112 (forall ((T_a $$unsorted) (V_F $$unsorted) (V_G $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_F) V_G) T_a) (not (tptp.c_Finite__Set_Ofinite V_G T_a)) (not (tptp.c_Finite__Set_Ofinite V_F T_a)))))
% 26.23/26.42  (assume a113 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_b T_a) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_c V_d T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_b V_d T_a)) (not (tptp.c_lessequals V_c V_a T_a)))))
% 26.23/26.42  (assume a114 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_d $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_b V_d T_a) (not (tptp.c_lessequals V_a V_b T_a)) (not (tptp.c_lessequals (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_b T_a) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_c V_d T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a115 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_c V_a T_a) (not (tptp.c_lessequals V_a V_b T_a)) (not (tptp.c_lessequals (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_b T_a) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_c V_d T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a116 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)) V_C) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C)))) (tptp.c_lessequals V_C V_A (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.23/26.42  (assume a117 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)) V_C) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C))) (not (tptp.c_lessequals V_C V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a118 (forall ((V_f $$unsorted) (V_g $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ocomp V_f V_g T_b T_a T_c) V_x) (tptp.hAPP V_f (tptp.hAPP V_g V_x)))))
% 26.23/26.42  (assume a119 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_v $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP V_a (tptp.hAPP V_b V_v)) (tptp.hAPP (tptp.c_Fun_Ocomp V_a V_b T_c T_b T_a) V_v))))
% 26.23/26.42  (assume a120 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_b T_a) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_c V_d T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_lessequals V_a V_b T_a))))
% 26.23/26.42  (assume a121 (forall ((V_B $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_B V_x)) (tptp.hBOOL (tptp.hAPP V_A V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_x))))))
% 26.23/26.42  (assume a122 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_x)) (not (tptp.hBOOL (tptp.hAPP V_B V_x))))))
% 26.23/26.42  (assume a123 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))))
% 26.23/26.42  (assume a124 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Set_Oimage V_f V_A T_a T_a) V_A) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_a)) (not (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_a T_a) V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 26.23/26.42  (assume a125 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) T_a))))))
% 26.23/26.42  (assume a126 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_y) V_z))))))
% 26.23/26.42  (assume a127 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_z))))))
% 26.23/26.42  (assume a128 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_z))))))
% 26.23/26.42  (assume a129 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_y) V_z))))))
% 26.23/26.42  (assume a130 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)) V_C) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C)))))
% 26.23/26.42  (assume a131 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_B) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_C)))))
% 26.23/26.42  (assume a132 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_B T_b (tptp.tc_fun T_a tptp.tc_bool)))) (= (tptp.hAPP V_B V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_b))))))
% 26.23/26.42  (assume a133 (forall ((V_F $$unsorted) (T_a $$unsorted) (V_G $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_F T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_F) V_G) T_a)))))
% 26.23/26.42  (assume a134 (forall ((V_G $$unsorted) (T_a $$unsorted) (V_F $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_G T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_F) V_G) T_a)))))
% 26.23/26.42  (assume a135 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) V_A T_b (tptp.tc_fun T_a tptp.tc_bool))) V_B) V_B)))
% 26.23/26.42  (assume a136 (forall ((T_a $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) V_B T_b (tptp.tc_fun T_a tptp.tc_bool))) V_A)))
% 26.23/26.42  (assume a137 (forall ((V_fun_H $$unsorted) (V_com_H $$unsorted)) (not (= tptp.c_Com_Ocom_OSKIP (tptp.c_Com_Ocom_OWhile V_fun_H V_com_H)))))
% 26.23/26.42  (assume a138 (forall ((T_a $$unsorted) (V_C $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_C) (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_C) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_C) V_B) (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.23/26.42  (assume a139 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) V_C) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_C) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C) (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.23/26.42  (assume a140 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_C V_D (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_D V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a141 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_x V_B T_a))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))))
% 26.23/26.42  (assume a142 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_z)) T_a))))
% 26.23/26.42  (assume a143 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (V_B $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_C) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_C) V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.23/26.42  (assume a144 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y)) V_x))))
% 26.23/26.42  (assume a145 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a146 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a147 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 26.23/26.42  (assume a148 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 26.23/26.42  (assume a149 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 26.23/26.42  (assume a150 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y)) V_x))))
% 26.23/26.42  (assume a151 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)) V_A)))
% 26.23/26.42  (assume a152 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y) V_x) (not (tptp.c_lessequals V_y V_x T_a)))))
% 26.23/26.42  (assume a153 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y) V_y)) (tptp.c_lessequals V_x V_y T_a))))
% 26.23/26.42  (assume a154 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y) V_y) (not (tptp.c_lessequals V_x V_y T_a)))))
% 26.23/26.42  (assume a155 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_B) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a156 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_A) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a157 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_B)) (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.23/26.42  (assume a158 (forall ((V_h $$unsorted) (V_F $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage V_h V_F T_a T_b) T_b) (not (tptp.c_Finite__Set_Ofinite V_F T_a)))))
% 26.23/26.42  (assume a159 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.v_x) (tptp.c_in tptp.v_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))
% 26.23/26.42  (assume a160 (forall ((T_a $$unsorted) (V_N $$unsorted) (V_M $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin V_N T_a) (tptp.c_Finite__Set_Olinorder__class_OMin V_M T_a) T_a) (not (tptp.c_Finite__Set_Ofinite V_N T_a)) (= V_M (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_M V_N (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a161 (forall ((V_less $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_less__eq $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) V_y))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_y) V_x))) (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)))))
% 26.23/26.42  (assume a162 (forall ((V_less $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_less__eq $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) V_y))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_y) V_x))) (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)))))
% 26.23/26.42  (assume a163 (forall ((V_less__eq $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (V_less $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_y) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) V_y)) (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)))))
% 26.23/26.42  (assume a164 (forall ((V_less__eq $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (V_less $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_y) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_x) V_y)) (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)))))
% 26.23/26.42  (assume a165 (forall ((V_less $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (V_less__eq $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_y) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_x) V_y)) (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)))))
% 26.23/26.42  (assume a166 (forall ((V_less__eq $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_less $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_x) V_y))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_y) V_x))) (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)))))
% 26.23/26.42  (assume a167 (forall ((V_less $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_less__eq $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_y) V_x)) (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)))))
% 26.23/26.42  (assume a168 (forall ((V_less $$unsorted) (V_x $$unsorted) (V_less__eq $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) V_x)) (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_x) V_x)))))
% 26.23/26.42  (assume a169 (forall ((V_less__eq $$unsorted) (V_x $$unsorted) (V_less $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_x) V_x))) (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) V_x))))))
% 26.23/26.42  (assume a170 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_A T_a))))))
% 26.23/26.42  (assume a171 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_A T_a))))))
% 26.23/26.42  (assume a172 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_A) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a173 (forall ((T_b $$unsorted) (V_A $$unsorted) (V_M $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_b)) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A (tptp.c_COMBK V_M T_b T_a) T_a T_b) V_M) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a174 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) (tptp.hAPP V_f V_x)) (tptp.c_Set_Oimage V_f V_A T_a T_b)) (tptp.c_Set_Oimage V_f V_A T_a T_b)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))))
% 26.23/26.42  (assume a175 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_B) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.hBOOL (tptp.c_in V_x V_A T_a)))))
% 26.23/26.42  (assume a176 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hBOOL (tptp.c_in V_x V_A T_a)) (not (tptp.c_lessequals V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_B) (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a177 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_B) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.hBOOL (tptp.c_in V_x V_A T_a)))))
% 26.23/26.42  (assume a178 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_B) (tptp.tc_fun T_a tptp.tc_bool))) (tptp.hBOOL (tptp.c_in V_x V_A T_a)))))
% 26.23/26.42  (assume a179 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_B)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)) (tptp.hBOOL (tptp.c_in V_a V_A T_a)))))
% 26.23/26.42  (assume a180 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_B)) V_C) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C)) (tptp.hBOOL (tptp.c_in V_a V_C T_a)))))
% 26.23/26.42  (assume a181 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_b (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_B T_b (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.hBOOL (tptp.c_in V_b (tptp.hAPP V_B V_x) T_a))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_b))))))
% 26.23/26.42  (assume a182 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_b (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_B T_a (tptp.tc_fun T_b tptp.tc_bool)) T_b)) (not (tptp.hBOOL (tptp.c_in V_b (tptp.hAPP V_B V_a) T_b))) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))))
% 26.23/26.42  (assume a183 (forall ((T_a $$unsorted) (V_B $$unsorted) (V_A $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_A))))
% 26.23/26.42  (assume a184 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_HOL_Ominus__class_Ominus V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))
% 26.23/26.42  (assume a185 (forall ((T_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (tptp.class_HOL_Ominus T_b)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun tptp.t_a T_b)) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP V_A tptp.v_x) (tptp.hAPP V_B tptp.v_x) T_b)))))
% 26.23/26.42  (assume a186 (forall ((V_C $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_lessequals V_C V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a187 (forall ((V_C $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_C V_A (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a188 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x V_a T_a) (not (tptp.c_lessequals V_x (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_a) V_b) T_a)))))
% 26.23/26.42  (assume a189 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x V_b T_a) (not (tptp.c_lessequals V_x (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_a) V_b) T_a)))))
% 26.23/26.42  (assume a190 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_a) V_b) V_x T_a) (not (tptp.c_lessequals V_a V_x T_a)))))
% 26.23/26.42  (assume a191 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_a) V_b) V_x T_a) (not (tptp.c_lessequals V_b V_x T_a)))))
% 26.23/26.42  (assume a192 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x V_y T_a) (not (tptp.c_lessequals V_x (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_y) V_z) T_a)))))
% 26.23/26.42  (assume a193 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals V_x (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_y) V_z) T_a)))))
% 26.23/26.42  (assume a194 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A V_C (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_HOL_Ominus__class_Ominus V_B V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a195 (forall ((V_less__eq $$unsorted) (V_Inf $$unsorted) (V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_Sup $$unsorted) (V_less $$unsorted) (V_inf $$unsorted) (V_sup $$unsorted) (V_bot $$unsorted) (V_top $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq (tptp.hAPP V_Inf V_A)) V_x)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_Complete__Lattice_Ocomplete__lattice V_Inf V_Sup V_less__eq V_less V_inf V_sup V_bot V_top T_a)))))
% 26.23/26.42  (assume a196 (forall ((V_less__eq $$unsorted) (V_x $$unsorted) (V_Sup $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_Inf $$unsorted) (V_less $$unsorted) (V_inf $$unsorted) (V_sup $$unsorted) (V_bot $$unsorted) (V_top $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_x) (tptp.hAPP V_Sup V_A))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_Complete__Lattice_Ocomplete__lattice V_Inf V_Sup V_less__eq V_less V_inf V_sup V_bot V_top T_a)))))
% 26.23/26.42  (assume a197 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_A))))
% 26.23/26.42  (assume a198 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_y) V_x)))))
% 26.23/26.42  (assume a199 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_y) V_x)))))
% 26.23/26.42  (assume a200 (forall ((V_fun $$unsorted) (V_com $$unsorted) (V_fun_H $$unsorted) (V_com_H $$unsorted)) (or (not (= (tptp.c_Com_Ocom_OWhile V_fun V_com) (tptp.c_Com_Ocom_OWhile V_fun_H V_com_H))) (= V_fun V_fun_H))))
% 26.23/26.42  (assume a201 (forall ((V_fun $$unsorted) (V_com $$unsorted) (V_fun_H $$unsorted) (V_com_H $$unsorted)) (or (not (= (tptp.c_Com_Ocom_OWhile V_fun V_com) (tptp.c_Com_Ocom_OWhile V_fun_H V_com_H))) (= V_com V_com_H))))
% 26.23/26.42  (assume a202 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))
% 26.23/26.42  (assume a203 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y)))))
% 26.23/26.42  (assume a204 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y)))))
% 26.23/26.42  (assume a205 (forall ((V_g $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ocomp V_g V_f T_b T_c T_a) V_A T_a T_c) (not (tptp.c_Fun_Oinj__on V_g (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b T_c)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))))
% 26.23/26.42  (assume a206 (forall ((V_fun_H $$unsorted) (V_com1_H $$unsorted) (V_com2_H $$unsorted)) (not (= (tptp.c_Com_Ocom_OCond V_fun_H V_com1_H V_com2_H) tptp.c_Com_Ocom_OSKIP))))
% 26.23/26.42  (assume a207 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_B T_a (tptp.tc_fun T_b tptp.tc_bool)) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B V_x) V_b))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))))
% 26.23/26.42  (assume a208 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_B T_a (tptp.tc_fun T_b tptp.tc_bool)) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B V_a) V_b))) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))))
% 26.23/26.42  (assume a209 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_HOL_Ominus__class_Ominus V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.23/26.42  (assume a210 (forall ((V_fun_H $$unsorted) (V_com_H $$unsorted) (V_fun $$unsorted) (V_com1 $$unsorted) (V_com2 $$unsorted)) (not (= (tptp.c_Com_Ocom_OWhile V_fun_H V_com_H) (tptp.c_Com_Ocom_OCond V_fun V_com1 V_com2)))))
% 26.23/26.42  (assume a211 (forall ((T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Finite__Set_Ofinite_Ofinite T_a)) (tptp.c_Finite__Set_Ofinite V_A T_a))))
% 26.23/26.42  (assume a212 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_P $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_x (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Collect V_P T_a)) T_a))))))
% 26.23/26.42  (assume a213 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_a) (tptp.c_Set_Oimage V_f (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b) T_b))) (not (tptp.c_Fun_Oinj__on V_f (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_A) T_a T_b)))))
% 26.23/26.42  (assume a214 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_less $$unsorted) (V_less__eq $$unsorted) (T_a $$unsorted)) (or (= V_x V_y) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_x) V_y))) (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)))))
% 26.23/26.42  (assume a215 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (T_a $$unsorted)) (or (= V_x V_y) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_x) V_y))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) V_y)) (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)))))
% 26.23/26.42  (assume a216 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_A) V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.hBOOL (tptp.c_in V_x V_B T_a)))))
% 26.23/26.42  (assume a217 (forall ((V_B $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_B V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_x))))))
% 26.23/26.42  (assume a218 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_A V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_x))))))
% 26.23/26.42  (assume a219 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f V_A T_a T_a) (not (tptp.c_lessequals V_A (tptp.c_Set_Oimage V_f V_A T_a T_a) (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 26.23/26.42  (assume a220 (forall ((V_f $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f V_B T_a T_b) (not (tptp.c_Fun_Oinj__on V_f (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) T_a T_b)))))
% 26.23/26.42  (assume a221 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f V_A T_a T_b) (not (tptp.c_Fun_Oinj__on V_f (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) T_a T_b)))))
% 26.23/26.42  (assume a222 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_aa $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_x V_A T_aa))) (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_aa T_a) T_a)))))
% 26.23/26.42  (assume a223 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_x V_A T_b))) (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a)))))
% 26.23/26.42  (assume a224 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_b))))))
% 26.23/26.42  (assume a225 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))))
% 26.23/26.42  (assume a226 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C) (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a227 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (or (tptp.c_lessequals V_A (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a228 (forall ((T_a $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_Finite__Set_Ofun__left__comm__idem (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) T_a T_a))))
% 26.23/26.42  (assume a229 (forall ((T_a $$unsorted) (V_F $$unsorted) (V_G $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_F) V_G) T_a) (not (tptp.c_Finite__Set_Ofinite V_G T_a)))))
% 26.23/26.42  (assume a230 (forall ((T_a $$unsorted) (V_F $$unsorted) (V_G $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_F) V_G) T_a) (not (tptp.c_Finite__Set_Ofinite V_F T_a)))))
% 26.23/26.42  (assume a231 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_g $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_HOL_Oord T_b)) (tptp.c_lessequals (tptp.hAPP V_f V_x) (tptp.hAPP V_g V_x) T_b) (not (tptp.c_lessequals V_f V_g (tptp.tc_fun T_a T_b))))))
% 26.23/26.42  (assume a232 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) (tptp.c_Orderings_Obot__class_Obot T_a)) V_x) V_x))))
% 26.23/26.42  (assume a233 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) (tptp.c_Orderings_Obot__class_Obot T_a)) V_x))))
% 26.23/26.42  (assume a234 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) (tptp.c_Orderings_Obot__class_Obot T_a)) V_x) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 26.23/26.42  (assume a235 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) (tptp.c_Orderings_Obot__class_Obot T_a)) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 26.23/26.42  (assume a236 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Obot T_a)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot T_a) V_x T_a))))
% 26.23/26.42  (assume a237 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_A) V_B) (tptp.c_Orderings_Obot__class_Obot T_a))) (= V_A (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 26.23/26.42  (assume a238 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_A) V_B) (tptp.c_Orderings_Obot__class_Obot T_a))) (= V_B (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 26.23/26.42  (assume a239 (forall ((T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.23/26.42  (assume a240 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool))))))
% 26.23/26.42  (assume a241 (forall ((V_Inf $$unsorted) (T_a $$unsorted) (V_top $$unsorted) (V_Sup $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_inf $$unsorted) (V_sup $$unsorted) (V_bot $$unsorted)) (or (= (tptp.hAPP V_Inf (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) V_top) (not (tptp.c_Complete__Lattice_Ocomplete__lattice V_Inf V_Sup V_less__eq V_less V_inf V_sup V_bot V_top T_a)))))
% 26.23/26.42  (assume a242 (forall ((V_Sup $$unsorted) (T_a $$unsorted) (V_bot $$unsorted) (V_Inf $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_inf $$unsorted) (V_sup $$unsorted) (V_top $$unsorted)) (or (= (tptp.hAPP V_Sup (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) V_bot) (not (tptp.c_Complete__Lattice_Ocomplete__lattice V_Inf V_Sup V_less__eq V_less V_inf V_sup V_bot V_top T_a)))))
% 26.23/26.42  (assume a243 (forall ((T_a $$unsorted) (V_P $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Collect V_P T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 26.23/26.42  (assume a244 (forall ((V_x $$unsorted) (T_a $$unsorted)) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 26.23/26.42  (assume a245 (forall ((V_P $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))))))
% 26.23/26.42  (assume a246 (forall ((V_c $$unsorted) (T_a $$unsorted)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 26.23/26.42  (assume a247 (forall ((V_a $$unsorted) (T_a $$unsorted)) (not (tptp.hBOOL (tptp.c_in V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 26.23/26.42  (assume a248 (forall ((T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))
% 26.23/26.42  (assume a249 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a250 (forall ((V_P $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_Collect V_P T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 26.23/26.42  (assume a251 (forall ((V_f $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set V_f (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) V_x)))))
% 26.23/26.42  (assume a252 (forall ((T_a $$unsorted) (V_A $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.23/26.42  (assume a253 (forall ((T_a $$unsorted) (V_A $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) V_A)))
% 26.23/26.42  (assume a254 (forall ((T_a $$unsorted) (V_B $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) V_B) V_B)))
% 26.23/26.42  (assume a255 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.23/26.42  (assume a256 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) V_A)))
% 26.23/26.42  (assume a257 (forall ((T_a $$unsorted)) (tptp.c_Finite__Set_Ofinite (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))
% 26.23/26.42  (assume a258 (forall ((T_a $$unsorted) (V_A $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.23/26.42  (assume a259 (forall ((T_a $$unsorted) (V_B $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) V_B) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.23/26.42  (assume a260 (forall ((T_a $$unsorted) (V_A $$unsorted)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool))))
% 26.23/26.42  (assume a261 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f V_A T_b T_a))) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool))))))
% 26.23/26.42  (assume a262 (forall ((V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.23/26.42  (assume a263 (forall ((V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)))
% 26.23/26.42  (assume a264 (forall ((V_P $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))))))
% 26.23/26.42  (assume a265 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_B (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a266 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a267 (forall ((T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted)) (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a))))
% 26.23/26.42  (assume a268 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.tc_fun T_a tptp.tc_bool))) V_A) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))))
% 26.23/26.42  (assume a269 (forall ((V_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK V_c T_a T_b) V_A T_b T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_c) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool))))))
% 26.23/26.42  (assume a270 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a) V_A) V_B T_b (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP V_B V_a)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_B T_b (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a271 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals (tptp.c_Finite__Set_Ofold1 (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_A T_a) V_a T_a) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 26.23/26.42  (assume a272 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (tptp.c_lessequals (tptp.c_Complete__Lattice_OInf__class_OInf V_A T_a) V_x T_a) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))))
% 26.23/26.42  (assume a273 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_b T_a)) (tptp.c_lessequals V_a V_b T_a))))
% 26.23/26.42  (assume a274 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_b T_a))) (not (tptp.c_lessequals V_a V_b T_a)))))
% 26.23/26.42  (assume a275 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_B)) V_C) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C))) (not (tptp.hBOOL (tptp.c_in V_a V_C T_a))))))
% 26.23/26.42  (assume a276 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_B)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))))
% 26.23/26.42  (assume a277 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_C) V_D) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_D (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a278 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y) V_x T_a))))
% 26.23/26.42  (assume a279 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y) V_y T_a))))
% 26.23/26.42  (assume a280 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_y) V_z) T_a) (not (tptp.c_lessequals V_x V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 26.23/26.42  (assume a281 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_y) V_z) T_a) (not (tptp.c_lessequals V_x V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 26.23/26.42  (assume a282 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_a) V_b) T_a) (not (tptp.c_lessequals V_x V_b T_a)) (not (tptp.c_lessequals V_x V_a T_a)))))
% 26.23/26.42  (assume a283 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y) V_y T_a))))
% 26.23/26.42  (assume a284 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y) V_x T_a))))
% 26.23/26.42  (assume a285 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_A (tptp.tc_fun T_a tptp.tc_bool))))
% 26.23/26.42  (assume a286 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_B (tptp.tc_fun T_a tptp.tc_bool))))
% 26.23/26.42  (assume a287 (forall ((V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_C (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_C V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a288 (forall ((V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_C (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_C V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a289 (forall ((V_f $$unsorted) (V_g $$unsorted) (V_h $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Ocomp V_f (tptp.c_Fun_Ocomp V_g V_h T_d T_c T_a) T_c T_b T_a) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp V_f V_g T_c T_b T_d) V_h T_d T_b T_a))))
% 26.23/26.42  (assume a290 (forall ((V_com1_H $$unsorted) (V_com2_H $$unsorted)) (not (= (tptp.c_Com_Ocom_OSemi V_com1_H V_com2_H) tptp.c_Com_Ocom_OSKIP))))
% 26.23/26.42  (assume a291 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Odistrib__lattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_y) V_z)) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_y) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_z) V_x))))))
% 26.23/26.42  (assume a292 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Odistrib__lattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_z))))))
% 26.23/26.42  (assume a293 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_C)))))
% 26.23/26.42  (assume a294 (forall ((T_a $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (V_A $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C)) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_A)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_C) V_A)))))
% 26.23/26.42  (assume a295 (forall ((V_f $$unsorted) (V_g $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ocomp V_f V_g T_c T_b tptp.t_a) tptp.v_x) (tptp.hAPP V_f (tptp.hAPP V_g tptp.v_x)))))
% 26.23/26.42  (assume a296 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_A) V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.c_in V_x V_B T_a))))))
% 26.23/26.42  (assume a297 (forall ((V_f $$unsorted) (V_g $$unsorted) (V_A $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Set_Oimage V_g V_A T_c T_b) T_b T_a) (tptp.c_Set_Oimage (tptp.c_COMBB V_f V_g T_b T_a T_c) V_A T_c T_a))))
% 26.23/26.42  (assume a298 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y)))))
% 26.23/26.42  (assume a299 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_y)))))
% 26.23/26.42  (assume a300 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))
% 26.23/26.42  (assume a301 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_f V_x) (tptp.hAPP (tptp.hAPP V_f V_x) V_z)) (tptp.hAPP (tptp.hAPP V_f V_x) V_z)) (not (tptp.c_Finite__Set_Ofun__left__comm__idem V_f T_a T_b)))))
% 26.23/26.42  (assume a302 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_B) (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 26.23/26.42  (assume a303 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_B) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 26.23/26.42  (assume a304 (forall ((V_f $$unsorted) (V_g $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_r $$unsorted)) (= (tptp.c_Set_Oimage (tptp.c_Fun_Ocomp V_f V_g T_c T_a T_b) V_r T_b T_a) (tptp.c_Set_Oimage V_f (tptp.c_Set_Oimage V_g V_r T_b T_c) T_c T_a))))
% 26.23/26.42  (assume a305 (forall ((V_fun_H $$unsorted) (V_com_H $$unsorted) (V_com1 $$unsorted) (V_com2 $$unsorted)) (not (= (tptp.c_Com_Ocom_OWhile V_fun_H V_com_H) (tptp.c_Com_Ocom_OSemi V_com1 V_com2)))))
% 26.23/26.42  (assume a306 (forall ((V_c $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_B T_a))))))
% 26.23/26.42  (assume a307 (forall ((V_c $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_A T_a))))))
% 26.23/26.42  (assume a308 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_x) V_x) V_x))))
% 26.23/26.42  (assume a309 (forall ((T_a $$unsorted) (V_A $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_A) V_A)))
% 26.23/26.42  (assume a310 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_y V_z T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y) V_z T_a)))))
% 26.23/26.42  (assume a311 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_x) V_y) V_z T_a)))))
% 26.23/26.42  (assume a312 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_a) V_b) T_a) (not (tptp.c_lessequals V_x V_b T_a)))))
% 26.23/26.42  (assume a313 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_a) V_b) T_a) (not (tptp.c_lessequals V_x V_a T_a)))))
% 26.23/26.42  (assume a314 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_b V_x T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_a) V_b) V_x T_a)))))
% 26.23/26.42  (assume a315 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_a V_x T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_a) V_b) V_x T_a)))))
% 26.23/26.42  (assume a316 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a317 (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a318 (forall ((T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.hBOOL (tptp.c_in (tptp.c_Finite__Set_Olinorder__class_OMax V_A T_a) V_A T_a)) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 26.23/26.42  (assume a319 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_g $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_b)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun tptp.t_a T_b)) V_f) V_g) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_b) (tptp.hAPP V_f tptp.v_x)) (tptp.hAPP V_g tptp.v_x))))))
% 26.23/26.42  (assume a320 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 26.23/26.42  (assume a321 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 26.23/26.42  (assume a322 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a323 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a324 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x V_x (tptp.tc_fun T_a tptp.tc_bool))))
% 26.23/26.42  (assume a325 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))))
% 26.23/26.42  (assume a326 (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_t V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_t V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a327 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_fun T_a tptp.tc_bool))))
% 26.23/26.42  (assume a328 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a329 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f V_A T_a T_b) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f V_B T_a T_b)))))
% 26.23/26.42  (assume a330 (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a331 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 26.23/26.42  (assume a332 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 26.23/26.42  (assume a333 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_B T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a334 (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 26.23/26.42  (assume a335 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_a) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_B T_a)))))
% 26.23/26.42  (assume a336 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_C) V_D) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_D (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a337 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_HOL_Ominus__class_Ominus V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a338 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_lessequals V_a V_b T_a))))
% 26.23/26.42  (assume a339 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (not (tptp.c_lessequals V_a V_b T_a)))))
% 26.23/26.42  (assume a340 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_HOL_Ominus__class_Ominus V_B V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a341 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_C $$unsorted)) (or (= (tptp.c_Set_Oimage V_f (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f V_C T_a T_b)))))
% 26.23/26.42  (assume a342 (forall ((T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.hBOOL (tptp.c_in (tptp.c_Finite__Set_Olinorder__class_OMin V_A T_a) V_A T_a)) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 26.23/26.42  (assume a343 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (V_P $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Collect V_P T_a)) T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))))
% 26.23/26.42  (assume a344 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted) (T_d $$unsorted) (V_v $$unsorted)) (or (not (= (tptp.c_Fun_Ocomp V_a V_b T_c T_b T_a) (tptp.c_Fun_Ocomp V_c V_d T_d T_b T_a))) (= (tptp.hAPP V_a (tptp.hAPP V_b V_v)) (tptp.hAPP V_c (tptp.hAPP V_d V_v))))))
% 26.23/26.42  (assume a345 (forall ((V_f $$unsorted) (V_g $$unsorted) (V_x $$unsorted) (V_f_H $$unsorted) (V_g_H $$unsorted) (V_x_H $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (T_d $$unsorted) (T_e $$unsorted)) (or (not (= (tptp.hAPP V_f (tptp.hAPP V_g V_x)) (tptp.hAPP V_f_H (tptp.hAPP V_g_H V_x_H)))) (= (tptp.hAPP (tptp.c_Fun_Ocomp V_f V_g T_b T_a T_c) V_x) (tptp.hAPP (tptp.c_Fun_Ocomp V_f_H V_g_H T_d T_a T_e) V_x_H)))))
% 26.23/26.42  (assume a346 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_HOL_Ominus__class_Ominus V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a347 (forall ((T_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_M $$unsorted) (T_a $$unsorted)) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_b tptp.tc_bool)) V_A) V_B) V_M T_b (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_M T_b (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_B V_M T_b (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a348 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_The (tptp.c_fequal V_x T_a) T_a) V_x)))
% 26.23/26.42  (assume a349 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_less $$unsorted) (V_less__eq $$unsorted) (T_a $$unsorted)) (or (= V_x V_y) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_y) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) V_y)) (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)))))
% 26.23/26.42  (assume a350 (forall ((V_less $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (V_less__eq $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_y) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) V_y)) (= V_x V_y) (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)))))
% 26.23/26.42  (assume a351 (forall ((V_less $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (V_less__eq $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_y) V_x)) (= V_x V_y) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) V_y)) (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)))))
% 26.23/26.42  (assume a352 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_less $$unsorted) (V_less__eq $$unsorted) (T_a $$unsorted)) (or (= V_x V_y) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_y) V_x)) (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)))))
% 26.23/26.42  (assume a353 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin V_A T_a) V_x T_a) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 26.23/26.42  (assume a354 (forall ((V_c $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_B T_a))) (not (tptp.hBOOL (tptp.c_in V_c V_A T_a))))))
% 26.23/26.42  (assume a355 (forall ((V_c $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_B T_a))) (not (tptp.hBOOL (tptp.c_in V_c V_A T_a))))))
% 26.23/26.42  (assume a356 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B) V_x)) (not (tptp.hBOOL (tptp.hAPP V_B V_x))) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))))
% 26.23/26.42  (assume a357 (forall ((V_f $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Fun_Ocomp (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_x) T_b T_b T_b) (tptp.hAPP V_f V_x)) (not (tptp.c_Finite__Set_Ofun__left__comm__idem V_f T_a T_b)))))
% 26.23/26.42  (assume a358 (forall ((V_B $$unsorted) (V_C $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_B (tptp.c_HOL_Ominus__class_Ominus V_C V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) V_A) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a359 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_lessequals V_y_H V_x_H T_a) (not (tptp.c_lessequals V_y V_x T_a)))))
% 26.23/26.42  (assume a360 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_lessequals V_y V_x T_a) (not (tptp.c_lessequals V_y_H V_x_H T_a)))))
% 26.23/26.42  (assume a361 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b) (tptp.tc_fun T_b tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a362 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_x V_A (tptp.tc_fun T_b tptp.tc_bool))) (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_x T_b T_a) (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.23/26.42  (assume a363 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OlessThan V_l T_a)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_l V_u T_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a364 (forall ((V_A $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_b) (not (tptp.c_Fun_Oinj__on V_f V_A T_b T_a)) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a)))))
% 26.23/26.42  (assume a365 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_x (tptp.c_Finite__Set_Olinorder__class_OMax V_A T_a) T_a) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 26.23/26.42  (assume a366 (forall ((V_f $$unsorted) (T_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_b tptp.tc_bool)) V_A) V_B) T_b T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f V_A T_b T_a)) (tptp.c_Set_Oimage V_f V_B T_b T_a)))))
% 26.23/26.42  (assume a367 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (tptp.c_lessequals V_x (tptp.c_Complete__Lattice_OSup__class_OSup V_A T_a) T_a) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))))
% 26.23/26.42  (assume a368 (forall ((V_com1_H $$unsorted) (V_com2_H $$unsorted)) (not (= tptp.c_Com_Ocom_OSKIP (tptp.c_Com_Ocom_OSemi V_com1_H V_com2_H)))))
% 26.23/26.42  (assume a369 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))))
% 26.23/26.42  (assume a370 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup T_a) V_a) V_b)))))
% 26.23/26.42  (assume a371 (forall ((V_less__eq $$unsorted) (V_less $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.c_Orderings_Olinorder V_less__eq V_less T_a)) (= (tptp.c_Finite__Set_Ofold1 V_f (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool))) T_b) V_a))))
% 26.23/26.42  (assume a372 (forall ((T_a $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_k) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_SetInterval_Oord__class_OlessThan V_k T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_k) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))))
% 26.23/26.42  (assume a373 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_B) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a374 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_A $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.hBOOL (tptp.c_in V_x V_A T_a)))))
% 26.23/26.42  (assume a375 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (= (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf T_a) V_a) V_b)))))
% 26.23/26.42  (assume a376 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_C $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_C) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_D) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C V_D (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a377 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_b) V_A) T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))))
% 26.23/26.42  (assume a378 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_b) V_B) T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_B T_a))))))
% 26.23/26.42  (assume a379 (forall ((V_f $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a) V_B) T_b T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) (tptp.hAPP V_f V_a)) (tptp.c_Set_Oimage V_f V_B T_b T_a)))))
% 26.23/26.42  (assume a380 (forall ((V_Inf $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted) (V_inf $$unsorted) (V_Sup $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_sup $$unsorted) (V_bot $$unsorted) (V_top $$unsorted)) (or (= (tptp.hAPP V_Inf (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_A)) (tptp.hAPP (tptp.hAPP V_inf V_a) (tptp.hAPP V_Inf V_A))) (not (tptp.c_Complete__Lattice_Ocomplete__lattice V_Inf V_Sup V_less__eq V_less V_inf V_sup V_bot V_top T_a)))))
% 26.23/26.42  (assume a381 (forall ((V_Sup $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted) (V_sup $$unsorted) (V_Inf $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_inf $$unsorted) (V_bot $$unsorted) (V_top $$unsorted)) (or (= (tptp.hAPP V_Sup (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_A)) (tptp.hAPP (tptp.hAPP V_sup V_a) (tptp.hAPP V_Sup V_A))) (not (tptp.c_Complete__Lattice_Ocomplete__lattice V_Inf V_Sup V_less__eq V_less V_inf V_sup V_bot V_top T_a)))))
% 26.23/26.42  (assume a382 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a V_A T_a)) (= V_a V_b) (not (tptp.hBOOL (tptp.c_in V_a (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_b) V_A) T_a))))))
% 26.23/26.42  (assume a383 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_A) T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 26.23/26.42  (assume a384 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_A) T_a)))))
% 26.23/26.42  (assume a385 (forall ((V_B $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (tptp.c_lessequals V_B (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_B) (tptp.tc_fun T_a tptp.tc_bool))))
% 26.23/26.42  (assume a386 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_A)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_B)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)))))
% 26.23/26.42  (assume a387 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_B)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)))))
% 26.23/26.42  (assume a388 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_B)) V_C) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C)))))
% 26.23/26.42  (assume a389 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_b) V_B) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a390 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_A) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a391 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f V_A T_a T_b) (not (tptp.c_Fun_Oinj__on V_f (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_A) T_a T_b)))))
% 26.23/26.42  (assume a392 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (tptp.hBOOL (tptp.c_in V_x (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_A) T_a))))
% 26.23/26.42  (assume a393 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (tptp.hBOOL (tptp.c_in V_a (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_B) T_a))))
% 26.23/26.42  (assume a394 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (tptp.hBOOL (tptp.c_in V_x (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_B) T_a))))
% 26.23/26.42  (assume a395 (forall ((T_a $$unsorted)) (tptp.c_Finite__Set_Ofun__left__comm__idem (tptp.c_Set_Oinsert T_a) T_a (tptp.tc_fun T_a tptp.tc_bool))))
% 26.23/26.42  (assume a396 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_B))) (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (tptp.hBOOL (tptp.c_in V_x V_A T_a)) (= V_A V_B))))
% 26.23/26.42  (assume a397 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_A) V_A) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))))
% 26.23/26.42  (assume a398 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (V_xc $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case V_f1 (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_xa V_xb V_xc tptp.t_b) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP (tptp.hAPP (tptp.hAPP V_f1 V_xa) V_xb) V_xc))))))
% 26.23/26.42  (assume a399 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_fun1 $$unsorted) (V_com $$unsorted) (V_fun2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case V_f1 (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_fun1 V_com V_fun2 tptp.t_b) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP (tptp.hAPP (tptp.hAPP V_f1 V_fun1) V_com) V_fun2))))))
% 26.23/26.42  (assume a400 (forall ((V_f1 $$unsorted) (V_fun1 $$unsorted) (V_com $$unsorted) (V_fun2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec V_f1 (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_fun1 V_com V_fun2 T_b) T_b T_a) (tptp.hAPP (tptp.hAPP (tptp.hAPP V_f1 V_fun1) V_com) V_fun2))))
% 26.23/26.42  (assume a401 (forall ((V_f1 $$unsorted) (V_fun1 $$unsorted) (V_com $$unsorted) (V_fun2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case V_f1 (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_fun1 V_com V_fun2 T_b) T_b T_a) (tptp.hAPP (tptp.hAPP (tptp.hAPP V_f1 V_fun1) V_com) V_fun2))))
% 26.23/26.42  (assume a402 (= (tptp.hAPP (tptp.c_COMBI tptp.t_a) tptp.v_P) tptp.v_P))
% 26.23/26.42  (assume a403 (forall ((V_G $$unsorted) (V_ts $$unsorted) (T_a $$unsorted) (V_ts_H $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G V_ts T_a) (not (tptp.c_lessequals V_ts V_ts_H (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G V_ts_H T_a)))))
% 26.23/26.42  (assume a404 (forall ((V_G $$unsorted) (V_ts $$unsorted) (T_a $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G V_ts T_a) (not (tptp.c_lessequals V_ts V_G (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool))))))
% 26.23/26.42  (assume a405 (= (tptp.hAPP (tptp.c_COMBB tptp.v_P tptp.v_Q tptp.t_a tptp.t_b tptp.t_c) tptp.v_R) (tptp.hAPP tptp.v_P (tptp.hAPP tptp.v_Q tptp.v_R))))
% 26.23/26.42  (assume a406 (= (tptp.c_COMBS tptp.v_P tptp.v_Q tptp.v_R tptp.t_a tptp.t_b tptp.t_c) (tptp.hAPP (tptp.hAPP tptp.v_P tptp.v_R) (tptp.hAPP tptp.v_Q tptp.v_R))))
% 26.23/26.42  (assume a407 (= (tptp.c_COMBC tptp.v_P tptp.v_Q tptp.v_R tptp.t_a tptp.t_b tptp.t_c) (tptp.hAPP (tptp.hAPP tptp.v_P tptp.v_R) tptp.v_Q)))
% 26.23/26.42  (assume a408 (forall ((V_G $$unsorted) (T_a $$unsorted) (V_P $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple T_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P (tptp.c_Com_Ocom_OWhile V_b V_c) (tptp.c_Hoare__Mirabelle_Opeek__and V_P (tptp.c_Fun_Ocomp tptp.c_Not V_b tptp.tc_bool tptp.tc_bool tptp.tc_Com_Ostate) T_a) T_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool))) T_a) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple T_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple (tptp.c_Hoare__Mirabelle_Opeek__and V_P V_b T_a) V_c V_P T_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool))) T_a)))))
% 26.23/26.42  (assume a409 (forall ((V_G $$unsorted) (T_a $$unsorted) (V_P $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple T_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P (tptp.c_Com_Ocom_OCond V_b V_c V_d) V_Q T_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool))) T_a) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple T_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple (tptp.c_Hoare__Mirabelle_Opeek__and V_P (tptp.c_Fun_Ocomp tptp.c_Not V_b tptp.tc_bool tptp.tc_bool tptp.tc_Com_Ostate) T_a) V_d V_Q T_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool))) T_a)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple T_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple (tptp.c_Hoare__Mirabelle_Opeek__and V_P V_b T_a) V_c V_Q T_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool))) T_a)))))
% 26.23/26.42  (assume a410 (forall ((T_b $$unsorted)) (or (not (tptp.class_Orderings_Obot T_b)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a T_b)) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot T_b)))))
% 26.23/26.42  (assume a411 (forall ((T_a $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 26.23/26.42  (assume a412 (forall ((V_a $$unsorted) (T_a $$unsorted)) (= (tptp.c_Collect (tptp.c_fequal V_a T_a) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a413 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (= V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a414 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in V_x (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) T_a))))
% 26.23/26.42  (assume a415 (forall ((V_Inf $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_Sup $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_inf $$unsorted) (V_sup $$unsorted) (V_bot $$unsorted) (V_top $$unsorted)) (or (= (tptp.hAPP V_Inf (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) V_a) (not (tptp.c_Complete__Lattice_Ocomplete__lattice V_Inf V_Sup V_less__eq V_less V_inf V_sup V_bot V_top T_a)))))
% 26.23/26.42  (assume a416 (forall ((V_Sup $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_Inf $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_inf $$unsorted) (V_sup $$unsorted) (V_bot $$unsorted) (V_top $$unsorted)) (or (= (tptp.hAPP V_Sup (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) V_a) (not (tptp.c_Complete__Lattice_Ocomplete__lattice V_Inf V_Sup V_less__eq V_less V_inf V_sup V_bot V_top T_a)))))
% 26.23/26.42  (assume a417 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) T_a) V_a))))
% 26.23/26.42  (assume a418 (forall ((T_a $$unsorted) (V_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) T_a)))))
% 26.23/26.42  (assume a419 (forall ((T_a $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) V_B T_b (tptp.tc_fun T_a tptp.tc_bool))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a420 (forall ((V_f $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set V_f (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) T_a) V_x))))
% 26.23/26.42  (assume a421 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Finite__Set_Olinorder__class_OMin (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) T_a) V_a))))
% 26.23/26.42  (assume a422 (forall ((T_a $$unsorted) (V_x $$unsorted)) (= (tptp.c_The (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) T_a) V_x)))
% 26.23/26.42  (assume a423 (forall ((V_Inf $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_inf $$unsorted) (V_Sup $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_sup $$unsorted) (V_bot $$unsorted) (V_top $$unsorted)) (or (= (tptp.hAPP V_Inf (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))) (tptp.hAPP (tptp.hAPP V_inf V_a) V_b)) (not (tptp.c_Complete__Lattice_Ocomplete__lattice V_Inf V_Sup V_less__eq V_less V_inf V_sup V_bot V_top T_a)))))
% 26.23/26.42  (assume a424 (forall ((V_Sup $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_sup $$unsorted) (V_Inf $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_inf $$unsorted) (V_bot $$unsorted) (V_top $$unsorted)) (or (= (tptp.hAPP V_Sup (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))) (tptp.hAPP (tptp.hAPP V_sup V_a) V_b)) (not (tptp.c_Complete__Lattice_Ocomplete__lattice V_Inf V_Sup V_less__eq V_less V_inf V_sup V_bot V_top T_a)))))
% 26.23/26.42  (assume a425 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_B) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.23/26.42  (assume a426 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_B) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.23/26.42  (assume a427 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (= V_a V_b) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set V_f (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) T_a) V_b))))))
% 26.23/26.42  (assume a428 (forall ((T_a $$unsorted) (V_x $$unsorted)) (= (tptp.c_Set_Ocontents (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) T_a) V_x)))
% 26.23/26.42  (assume a429 (forall ((V_y $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (= V_y (tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) V_y))))))
% 26.23/26.42  (assume a430 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (or (= V_b V_a) (not (tptp.hBOOL (tptp.c_in V_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) T_a))))))
% 26.23/26.42  (assume a431 (forall ((V_f $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (= (tptp.c_Finite__Set_Ofold1 V_f (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) T_a) V_a)))
% 26.23/26.42  (assume a432 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Finite__Set_Olinorder__class_OMax (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) T_a) V_a))))
% 26.23/26.42  (assume a433 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.tc_fun T_a tptp.tc_bool))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_A))))
% 26.23/26.42  (assume a434 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_a T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))))
% 26.23/26.42  (assume a435 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_xa) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.hBOOL (tptp.c_in V_x V_xa T_a)))))
% 26.23/26.42  (assume a436 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_A) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) V_A))))
% 26.23/26.42  (assume a437 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (= (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) T_a) V_a))))
% 26.23/26.42  (assume a438 (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_xa $$unsorted) (V_Z_H $$unsorted) (V_x $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_xa V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 V_G V_P V_Q V_c V_x V_xa))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_x V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 V_G V_P V_Q V_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))))
% 26.23/26.42  (assume a439 (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_Q_H $$unsorted) (V_Z_H $$unsorted) (V_P_H $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q_H V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 V_P V_P_H V_Q V_Q_H))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P_H V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 V_P V_P_H V_Q V_Q_H)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P_H V_c V_Q_H tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))))
% 26.23/26.42  (assume a440 (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_xa $$unsorted) (V_Z_H $$unsorted) (V_x $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_xa V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_x V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))))
% 26.23/26.42  (assume a441 (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c))))))
% 26.23/26.42  (assume a442 (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))))
% 26.23/26.42  (assume a443 (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 V_G V_P V_Q V_c))))))
% 26.23/26.42  (assume a444 (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_P_H $$unsorted) (V_Q_H $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P (tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 V_P V_P_H V_Q V_Q_H)) (tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 V_P V_P_H V_Q V_Q_H))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P_H V_c V_Q_H tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))))
% 26.23/26.42  (assume a445 (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 V_G V_P V_Q V_c V_x V_xa)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))))
% 26.23/26.42  (assume a446 (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_P_H $$unsorted) (V_Q_H $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q (tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 V_P V_P_H V_Q V_Q_H)) (tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 V_P V_P_H V_Q V_Q_H)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P_H V_c V_Q_H tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))))
% 26.23/26.42  (assume a447 (= (tptp.hAPP (tptp.c_COMBK tptp.v_P tptp.t_a tptp.t_b) tptp.v_Q) tptp.v_P))
% 26.23/26.42  (assume a448 (forall ((V_G $$unsorted) (T_a $$unsorted) (V_P $$unsorted)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple T_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P tptp.c_Com_Ocom_OSKIP V_P T_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool))) T_a)))
% 26.23/26.42  (assume a449 (forall ((V_G $$unsorted) (T_a $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_d $$unsorted) (V_R $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple T_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P (tptp.c_Com_Ocom_OSemi V_c V_d) V_R T_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool))) T_a) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple T_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_Q V_d V_R T_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool))) T_a)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple T_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q T_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool))) T_a)))))
% 26.23/26.42  (assume a450 (forall ((V_G $$unsorted) (T_a $$unsorted) (V_t $$unsorted) (V_ts $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple T_a)) V_t) V_ts) T_a) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G V_ts T_a)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple T_a)) V_t) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool))) T_a)))))
% 26.23/26.42  (assume a451 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_A $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_A) V_x))))
% 26.23/26.42  (assume a452 (forall ((V_G $$unsorted) (V_ts $$unsorted) (T_a $$unsorted) (V_G_H $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G V_ts T_a) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G V_G_H T_a)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G_H V_ts T_a)))))
% 26.23/26.42  (assume a453 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_A)))))
% 26.23/26.42  (assume a454 (forall ((V_fun1 $$unsorted) (V_com $$unsorted) (V_fun2 $$unsorted) (T_a $$unsorted) (V_fun1_H $$unsorted) (V_com_H $$unsorted) (V_fun2_H $$unsorted)) (or (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_fun1 V_com V_fun2 T_a) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_fun1_H V_com_H V_fun2_H T_a))) (= V_fun2 V_fun2_H))))
% 26.23/26.42  (assume a455 (forall ((V_fun1 $$unsorted) (V_com $$unsorted) (V_fun2 $$unsorted) (T_a $$unsorted) (V_fun1_H $$unsorted) (V_com_H $$unsorted) (V_fun2_H $$unsorted)) (or (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_fun1 V_com V_fun2 T_a) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_fun1_H V_com_H V_fun2_H T_a))) (= V_com V_com_H))))
% 26.23/26.42  (assume a456 (forall ((V_fun1 $$unsorted) (V_com $$unsorted) (V_fun2 $$unsorted) (T_a $$unsorted) (V_fun1_H $$unsorted) (V_com_H $$unsorted) (V_fun2_H $$unsorted)) (or (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_fun1 V_com V_fun2 T_a) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_fun1_H V_com_H V_fun2_H T_a))) (= V_fun1 V_fun1_H))))
% 26.23/26.42  (assume a457 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_d) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))) (= V_b V_c) (= V_b V_d))))
% 26.23/26.42  (assume a458 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_d) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))) (= V_a V_d) (= V_b V_d))))
% 26.23/26.42  (assume a459 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_d) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))) (= V_b V_c) (= V_a V_c))))
% 26.23/26.42  (assume a460 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_d) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))) (= V_a V_d) (= V_a V_c))))
% 26.23/26.42  (assume a461 (forall ((T_a $$unsorted) (V_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) V_x)))))
% 26.23/26.42  (assume a462 (forall ((V_G $$unsorted) (T_a $$unsorted)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) T_a)))
% 26.23/26.42  (assume a463 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_A V_x)) (= V_y V_x) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_y) V_A) V_x))))))
% 26.23/26.42  (assume a464 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_A $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_A)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_A))))
% 26.23/26.42  (assume a465 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) V_A) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.23/26.42  (assume a466 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_y) V_A)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) V_A)))))
% 26.23/26.42  (assume a467 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_xa) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_xa) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))))
% 26.23/26.42  (assume a468 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))) (= V_a V_b))))
% 26.23/26.42  (assume a469 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_a) V_y) V_A) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))))
% 26.23/26.42  (assume a470 (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))
% 26.23/26.42  (assume a471 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))
% 26.23/26.42  (assume a472 (forall ((V_Z $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H V_Z) V_s)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P V_Z) V_s))))))
% 26.23/26.42  (assume a473 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Complete__Lattice_Ocomplete__lattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_1)))))
% 26.23/26.42  (assume a474 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Oupper__semilattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Olattice T_1)))))
% 26.23/26.42  (assume a475 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Olower__semilattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Olattice T_1)))))
% 26.23/26.42  (assume a476 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Odistrib__lattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Odistrib__lattice T_1)))))
% 26.23/26.42  (assume a477 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Obounded__lattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Obounded__lattice T_1)))))
% 26.23/26.42  (assume a478 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_fun T_2 T_1)) (not (tptp.class_Finite__Set_Ofinite_Ofinite T_1)) (not (tptp.class_Finite__Set_Ofinite_Ofinite T_2)))))
% 26.23/26.42  (assume a479 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Opreorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Opreorder T_1)))))
% 26.23/26.42  (assume a480 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Olattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Olattice T_1)))))
% 26.23/26.42  (assume a481 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Oorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Oorder T_1)))))
% 26.23/26.42  (assume a482 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Obot (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Obot T_1)))))
% 26.23/26.42  (assume a483 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_HOL_Ominus (tptp.tc_fun T_2 T_1)) (not (tptp.class_HOL_Ominus T_1)))))
% 26.23/26.42  (assume a484 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_HOL_Oord (tptp.tc_fun T_2 T_1)) (not (tptp.class_HOL_Oord T_1)))))
% 26.23/26.42  (assume a485 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool))
% 26.23/26.42  (assume a486 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool))
% 26.23/26.42  (assume a487 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool))
% 26.23/26.42  (assume a488 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool))
% 26.23/26.42  (assume a489 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool))
% 26.23/26.42  (assume a490 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool))
% 26.23/26.42  (assume a491 (tptp.class_Orderings_Opreorder tptp.tc_bool))
% 26.23/26.42  (assume a492 (tptp.class_Lattices_Olattice tptp.tc_bool))
% 26.23/26.42  (assume a493 (tptp.class_Orderings_Oorder tptp.tc_bool))
% 26.23/26.42  (assume a494 (tptp.class_Orderings_Obot tptp.tc_bool))
% 26.23/26.42  (assume a495 (tptp.class_HOL_Ominus tptp.tc_bool))
% 26.23/26.42  (assume a496 (tptp.class_HOL_Oord tptp.tc_bool))
% 26.23/26.42  (assume a497 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_fequal V_x T_a) V_x))))
% 26.23/26.42  (assume a498 (forall ((V_X $$unsorted) (V_Y $$unsorted) (T_a $$unsorted)) (or (= V_X V_Y) (not (tptp.hBOOL (tptp.hAPP (tptp.c_fequal V_X T_a) V_Y))))))
% 26.23/26.42  (step t1 (cl (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))) :rule or_pos)
% 26.23/26.42  (step t2 (cl (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))))) :rule reordering :premises (t1))
% 26.23/26.42  (step t3 (cl (not (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))) :rule or_pos)
% 26.23/26.42  (step t4 (cl (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) :rule reordering :premises (t3))
% 26.23/26.42  (step t5 (cl (not (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))) :rule or_pos)
% 26.23/26.42  (step t6 (cl (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) :rule reordering :premises (t5))
% 26.23/26.42  (step t7 (cl (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) :rule implies_neg1)
% 26.23/26.42  (anchor :step t8)
% 26.23/26.42  (assume t8.a0 (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))))
% 26.23/26.42  (step t8.t1 (cl (or (not (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) :rule forall_inst :args ((:= V_G tptp.v_G) (:= V_P tptp.v_P) (:= V_c tptp.v_c) (:= V_Q tptp.v_Q) (:= V_x tptp.v_P_H) (:= V_xa tptp.v_Q)))
% 26.23/26.42  (step t8.t2 (cl (not (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) :rule or :premises (t8.t1))
% 26.23/26.42  (step t8.t3 (cl (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) :rule resolution :premises (t8.t2 t8.a0))
% 26.23/26.42  (step t8 (cl (not (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) :rule subproof :discharge (t8.a0))
% 26.23/26.42  (step t9 (cl (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) :rule resolution :premises (t7 t8))
% 26.23/26.42  (step t10 (cl (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (not (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) :rule implies_neg2)
% 26.23/26.42  (step t11 (cl (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) :rule resolution :premises (t9 t10))
% 26.23/26.42  (step t12 (cl (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) :rule contraction :premises (t11))
% 26.23/26.42  (step t13 (cl (not (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) :rule implies :premises (t12))
% 26.23/26.42  (step t14 (cl (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) :rule resolution :premises (t13 a442))
% 26.23/26.42  (step t15 (cl (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))))) :rule resolution :premises (t6 a471 a470 t14))
% 26.23/26.42  (step t16 (cl (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_xa $$unsorted) (V_Z_H $$unsorted) (V_x $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_xa V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_x V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_xa $$unsorted) (V_Z_H $$unsorted) (V_x $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_xa V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_x V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) :rule implies_neg1)
% 26.23/26.42  (anchor :step t17)
% 26.23/26.42  (assume t17.a0 (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_xa $$unsorted) (V_Z_H $$unsorted) (V_x $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_xa V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_x V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))))
% 26.23/26.42  (step t17.t1 (cl (or (not (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_xa $$unsorted) (V_Z_H $$unsorted) (V_x $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_xa V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_x V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) :rule forall_inst :args ((:= V_G tptp.v_G) (:= V_P tptp.v_P) (:= V_c tptp.v_c) (:= V_Q tptp.v_Q) (:= V_xa tptp.v_Q) (:= V_Z_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (:= V_x tptp.v_P_H)))
% 26.23/26.42  (step t17.t2 (cl (not (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_xa $$unsorted) (V_Z_H $$unsorted) (V_x $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_xa V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_x V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) :rule or :premises (t17.t1))
% 26.23/26.42  (step t17.t3 (cl (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) :rule resolution :premises (t17.t2 t17.a0))
% 26.23/26.42  (step t17 (cl (not (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_xa $$unsorted) (V_Z_H $$unsorted) (V_x $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_xa V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_x V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) :rule subproof :discharge (t17.a0))
% 26.23/26.42  (step t18 (cl (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_xa $$unsorted) (V_Z_H $$unsorted) (V_x $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_xa V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_x V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) :rule resolution :premises (t16 t17))
% 26.23/26.42  (step t19 (cl (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_xa $$unsorted) (V_Z_H $$unsorted) (V_x $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_xa V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_x V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (not (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) :rule implies_neg2)
% 26.23/26.42  (step t20 (cl (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_xa $$unsorted) (V_Z_H $$unsorted) (V_x $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_xa V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_x V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_xa $$unsorted) (V_Z_H $$unsorted) (V_x $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_xa V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_x V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) :rule resolution :premises (t18 t19))
% 26.23/26.42  (step t21 (cl (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_xa $$unsorted) (V_Z_H $$unsorted) (V_x $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_xa V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_x V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) :rule contraction :premises (t20))
% 26.23/26.42  (step t22 (cl (not (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted) (V_xa $$unsorted) (V_Z_H $$unsorted) (V_x $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_xa V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 V_G V_P V_Q V_c V_x V_xa))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_x V_Z_H) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_x V_c V_xa tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) :rule implies :premises (t21))
% 26.23/26.42  (step t23 (cl (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a)))) :rule resolution :premises (t22 a440))
% 26.23/26.42  (step t24 (cl (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))) :rule resolution :premises (t4 a471 a470 t15 t23))
% 26.23/26.42  (step t25 (cl (=> (forall ((V_Z $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H V_Z) V_s)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P V_Z) V_s))))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))))) (forall ((V_Z $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H V_Z) V_s)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P V_Z) V_s)))))) :rule implies_neg1)
% 26.23/26.42  (anchor :step t26)
% 26.23/26.42  (assume t26.a0 (forall ((V_Z $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H V_Z) V_s)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P V_Z) V_s))))))
% 26.23/26.42  (step t26.t1 (cl (or (not (forall ((V_Z $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H V_Z) V_s)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P V_Z) V_s)))))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))))) :rule forall_inst :args ((:= V_Z (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (:= V_s (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))
% 26.23/26.42  (step t26.t2 (cl (not (forall ((V_Z $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H V_Z) V_s)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P V_Z) V_s)))))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))))) :rule or :premises (t26.t1))
% 26.23/26.42  (step t26.t3 (cl (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))))) :rule resolution :premises (t26.t2 t26.a0))
% 26.23/26.42  (step t26 (cl (not (forall ((V_Z $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H V_Z) V_s)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P V_Z) V_s)))))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))))) :rule subproof :discharge (t26.a0))
% 26.23/26.42  (step t27 (cl (=> (forall ((V_Z $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H V_Z) V_s)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P V_Z) V_s))))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))))) :rule resolution :premises (t25 t26))
% 26.23/26.42  (step t28 (cl (=> (forall ((V_Z $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H V_Z) V_s)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P V_Z) V_s))))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))))) (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))))) :rule implies_neg2)
% 26.23/26.42  (step t29 (cl (=> (forall ((V_Z $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H V_Z) V_s)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P V_Z) V_s))))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))))) (=> (forall ((V_Z $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H V_Z) V_s)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P V_Z) V_s))))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))))) :rule resolution :premises (t27 t28))
% 26.23/26.42  (step t30 (cl (=> (forall ((V_Z $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H V_Z) V_s)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P V_Z) V_s))))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))))) :rule contraction :premises (t29))
% 26.23/26.42  (step t31 (cl (not (forall ((V_Z $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H V_Z) V_s)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P V_Z) V_s)))))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))))) :rule implies :premises (t30))
% 26.23/26.42  (step t32 (cl (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))))) :rule resolution :premises (t31 a472))
% 26.23/26.42  (step t33 (cl (not (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))) (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) :rule or_pos)
% 26.23/26.42  (step t34 (cl (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))) (not (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))))) :rule reordering :premises (t33))
% 26.23/26.42  (step t35 (cl (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))) (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))))) :rule implies_neg1)
% 26.23/26.42  (anchor :step t36)
% 26.23/26.42  (assume t36.a0 (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c))))))
% 26.23/26.42  (step t36.t1 (cl (or (not (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))))) :rule forall_inst :args ((:= V_G tptp.v_G) (:= V_P tptp.v_P) (:= V_c tptp.v_c) (:= V_Q tptp.v_Q)))
% 26.23/26.42  (step t36.t2 (cl (not (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))) :rule or :premises (t36.t1))
% 26.23/26.42  (step t36.t3 (cl (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))) :rule resolution :premises (t36.t2 t36.a0))
% 26.23/26.42  (step t36 (cl (not (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))) :rule subproof :discharge (t36.a0))
% 26.23/26.42  (step t37 (cl (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))) :rule resolution :premises (t35 t36))
% 26.23/26.42  (step t38 (cl (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))) (not (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))))) :rule implies_neg2)
% 26.23/26.42  (step t39 (cl (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))) (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))))) :rule resolution :premises (t37 t38))
% 26.23/26.42  (step t40 (cl (=> (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))))) :rule contraction :premises (t39))
% 26.23/26.42  (step t41 (cl (not (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple V_P V_c V_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 V_G V_P V_Q V_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 V_G V_P V_Q V_c)))))) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))) :rule implies :premises (t40))
% 26.23/26.42  (step t42 (cl (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_bool))) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c))))) :rule resolution :premises (t41 a441))
% 26.23/26.42  (step t43 (cl (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) :rule resolution :premises (t34 a471 t42))
% 26.23/26.42  (step t44 (cl) :rule resolution :premises (t2 t24 t32 t43))
% 26.23/26.42  
% 26.23/26.43  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.8qevBre8nN/cvc5---1.0.5_14396.smt2
% 26.23/26.43  % cvc5---1.0.5 exiting
% 26.23/26.43  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------